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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze252.0ms (1.5%)

Memory

-23.4MiB live, 107.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
50%	49.9%	49.9%	0.2%	0%	0%	0%	4
50%	49.9%	49.9%	0.2%	0%	0%	0%	5
50%	49.9%	49.9%	0.2%	0%	0%	0%	6
50%	49.9%	49.9%	0.2%	0%	0%	0%	7
66.7%	49.9%	25%	0.2%	0%	25%	0%	8
66.7%	49.9%	25%	0.2%	0%	25%	0%	9
66.7%	49.9%	25%	0.2%	0%	25%	0%	10
66.7%	49.9%	25%	0.2%	0%	25%	0%	11
80%	49.9%	12.5%	0.2%	0%	37.4%	0%	12

Compiler

Compiled 19 to 17 computations (10.5% saved)

sample2.0s (11.7%)

Memory

51.6MiB live, 2 060.6MiB allocated

Samples

1.0s	8 256×	0	valid
230.0ms	2 021×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 888.0ms

ival-mult: 468.0ms (52.7% of total)

ival-div: 133.0ms (15% of total)

ival-exp: 132.0ms (14.9% of total)

ival-sqrt: 85.0ms (9.6% of total)

ival-sub: 49.0ms (5.5% of total)

exact: 10.0ms (1.1% of total)

ival-true: 7.0ms (0.8% of total)

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

Bogosity

explain210.0ms (1.2%)

Memory

-21.8MiB live, 333.4MiB 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	2
↳	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`	overflow	130
↳	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`	overflow	68
↳	`(*.f64 t t)`	overflow	68

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

75.0ms

512×

valid

Compiler

Compiled 145 to 49 computations (66.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 18.0ms (56.5% of total)

ival-exp: 4.0ms (12.6% of total)

ival-div: 3.0ms (9.4% of total)

ival-sqrt: 3.0ms (9.4% of total)

ival-sub: 2.0ms (6.3% of total)

exact: 1.0ms (3.1% of total)

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

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

preprocess109.0ms (0.6%)

Memory

31.6MiB live, 105.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

(*.f64 (*.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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(.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)

simplify71.0ms (0.4%)

Memory

-21.0MiB live, 30.5MiB 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))))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize74.0ms (0.4%)

Memory

-12.0MiB live, 61.1MiB 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	0.2539041858302058	(.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))))
accuracy	0.26953125	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))

Samples

26.0ms

256×

valid

Compiler

Compiled 64 to 17 computations (73.4% saved)

Precisions

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

ival-mult: 9.0ms (57.4% of total)

ival-div: 2.0ms (12.8% of total)

ival-exp: 2.0ms (12.8% of total)

ival-sqrt: 2.0ms (12.8% of total)

ival-sub: 1.0ms (6.4% of total)

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

exact: 0.0ms (0% of total)

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

series24.0ms (0.1%)

Memory

35.8MiB live, 35.8MiB 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>) () ())) ())
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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 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) (taylor -inf x) (#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1/2))) (taylor -inf x) (#s(alt (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1/2))) (taylor -inf x) (#s(alt (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1/2))) (taylor -inf x) (#s(alt (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#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
2.0ms	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	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	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	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)))

simplify249.0ms (1.5%)

Memory

-19.3MiB live, 249.9MiB allocated

Algorithm

1×	egg-herbie

Rules

18 902×	`lower-fma.f64`
18 902×	`lower-fma.f32`
6 248×	`lower-*.f64`
6 248×	`lower-*.f32`
4 670×	`lower-+.f64`

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))))
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(- (* 1/2 x) y)
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(* 1/2 x)
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(* 1/2 x)
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(* 1/2 x)
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(* 1/2 x)
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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 (-.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))))
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(* 1/2 x)
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(* 1/2 x)
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(* 1/2 x)
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(* 1/2 x)
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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))))
(* -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)
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(* 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))

rewrite204.0ms (1.2%)

Memory

-7.7MiB live, 352.3MiB allocated

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	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
(.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (fma.f64 (neg.f64 y) y (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 y (-.f64 y (.f64 #s(literal 1/2 binary64) x)))))
(.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (fma.f64 (neg.f64 y) y (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) y (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x y) y) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) x y) y)))
(.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x y) y) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x y) y) (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x y) y) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))))))
(.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (pow.f64 (.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 (sqrt.f64 z) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 (pow.f64 (exp.f64 t) t) z)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))
(.f64 (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (fma.f64 (neg.f64 y) y (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x y) #s(literal -1 binary64)))
(.f64 (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (fma.f64 #s(literal 1/2 binary64) x y) y)) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (sqrt.f64 z) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64))))
(.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 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 (.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))
(.f64 (sqrt.f64 z) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (pow.f64 (sqrt.f64 (exp.f64 t)) t)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(.f64 (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 (fma.f64 (neg.f64 y) y (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (fma.f64 #s(literal 1/2 binary64) x y)))
(.f64 (fma.f64 (neg.f64 y) y (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x y) #s(literal -1 binary64)) (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (fma.f64 #s(literal 1/2 binary64) x y) y)) #s(literal -1 binary64)) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))))
(.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 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (neg.f64 y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) #s(literal 3 binary64))) (fma.f64 (.f64 (neg.f64 y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) (.f64 (neg.f64 y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))) (.f64 (.f64 (neg.f64 y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) (.f64 (.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 (neg.f64 y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) (.f64 (neg.f64 y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) (.f64 (neg.f64 y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (.f64 #s(literal 1/2 binary64) x)) (pow.f64 (sqrt.f64 (exp.f64 t)) t)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (pow.f64 (sqrt.f64 (exp.f64 t)) t)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (.f64 #s(literal 1/2 binary64) x)) (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (.f64 #s(literal 1/2 binary64) x)) (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (-.f64 (.f64 (.f64 (.f64 (neg.f64 y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (.f64 (.f64 (neg.f64 y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (.f64 #s(literal 1/2 binary64) x)) (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (.f64 (.f64 (neg.f64 y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))))))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (neg.f64 y)) (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (neg.f64 y)) (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (.f64 #s(literal 1/2 binary64) x)) (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (.f64 #s(literal 1/2 binary64) x))) (.f64 (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (neg.f64 y)) (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (.f64 #s(literal 1/2 binary64) x)) (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (.f64 #s(literal 1/2 binary64) x)) (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (neg.f64 y)) (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (neg.f64 y))) (.f64 (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (.f64 #s(literal 1/2 binary64) x)) (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (neg.f64 y))))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 (neg.f64 y) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (.f64 #s(literal 1/2 binary64) x))) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (.f64 #s(literal 1/2 binary64) x))) (-.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 (neg.f64 y) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 (neg.f64 y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))) (.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (.f64 #s(literal 1/2 binary64) x))) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 (neg.f64 y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))))))
(/.f64 (neg.f64 (.f64 (neg.f64 (fma.f64 (neg.f64 y) y (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x y))))
(/.f64 (neg.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y)))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))) (neg.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (neg.f64 (fma.f64 (neg.f64 y) y (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x y))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y)))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 (fma.f64 (neg.f64 y) y (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x y)))
(/.f64 (neg.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))) (neg.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y))))
(/.f64 (neg.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (fma.f64 (neg.f64 y) y (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x y))))
(/.f64 (neg.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y)))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) (neg.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal -1 binary64))))
(/.f64 (.f64 (neg.f64 (fma.f64 (neg.f64 y) y (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x y)))
(/.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) (neg.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y))))
(/.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal -1 binary64)))
(/.f64 (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (neg.f64 (fma.f64 (neg.f64 y) y (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x y)))
(/.f64 (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y))))
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(/.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 1 binary64) (.f64 (*.f64 t t) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (.f64 #s(literal 1 binary64) (.f64 (*.f64 t t) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (.f64 (.f64 t t) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (neg.f64 t) t)))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 t) (/.f64 t #s(literal -2 binary64))))
(sqrt.f64 (pow.f64 (exp.f64 t) t))
(fabs.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 t))) t))
(exp.f64 (.f64 (log.f64 (E.f64)) (.f64 (*.f64 t t) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 t) (neg.f64 t))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (.f64 t t)))
(exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))

eval238.0ms (1.4%)

Memory: 26.8MiB live, 142.3MiB allocated
Compiler: Compiled 18 318 to 1 823 computations (90% saved)

prune88.0ms (0.5%)

Memory

-12.7MiB live, 147.9MiB allocated

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	578	18	596
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	579	18	597

Accuracy

100.0%

Counts

597 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) x) #s(literal 1/2 binary64) (.f64 (neg.f64 y) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))))
	75.4%	(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 y) y (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (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))))
	99.4%	(.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))))
	99.2%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal -1 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))))
	99.2%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
	87.8%	(.f64 (.f64 (fma.f64 (.f64 x x) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) x y)) (neg.f64 (.f64 y (/.f64 y (fma.f64 #s(literal 1/2 binary64) x y))))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))))
	99.2%	(.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))))
	99.4%	(.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))))
	95.3%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (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))))
▶	92.4%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
	86.4%	(.f64 (.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))))
▶	56.7%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
▶	48.3%	(.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (fma.f64 #s(literal 1/2 binary64) x y) y)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (fma.f64 #s(literal 1/2 binary64) x y) y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 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) (fma.f64 #s(literal 1/2 binary64) x y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))))
▶	61.7%	(.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))))
	63.8%	(.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))))
	88.1%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
	56.5%	#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)))

Compiler

Compiled 790 to 622 computations (21.3% saved)

simplify203.0ms (1.2%)

Memory

18.6MiB live, 201.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (fma.f64 #s(literal 1/2 binary64) x y) y))
cost-diff	0	(.f64 (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (fma.f64 #s(literal 1/2 binary64) x y) y)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (fma.f64 #s(literal 1/2 binary64) x y) y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
cost-diff	0	(.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (fma.f64 #s(literal 1/2 binary64) x y) y)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (fma.f64 #s(literal 1/2 binary64) x y) y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))))
cost-diff	3840	(.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (fma.f64 #s(literal 1/2 binary64) x y) y)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (fma.f64 #s(literal 1/2 binary64) x y) y))))
cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x)
cost-diff	0	(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	#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))))
cost-diff	0	(.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))))
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	(fma.f64 #s(literal 1/2 binary64) x y)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x y) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (fma.f64 #s(literal 1/2 binary64) x y))) (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) (fma.f64 #s(literal 1/2 binary64) x y))) (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) (fma.f64 #s(literal 1/2 binary64) x y)))

Rules

16 110×	`lower-fma.f32`
16 102×	`lower-fma.f64`
5 530×	`lower-*.f32`
5 498×	`lower-*.f64`
3 988×	`lower-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	52	539
0	88	547
1	156	547
2	327	547
3	1051	451
4	4532	427
0	8601	427

Stop Event

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

Calls

Call 1

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

localize350.0ms (2.1%)

Memory

-171.8MiB live, 198.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.26953125	(.f64 (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (fma.f64 #s(literal 1/2 binary64) x y) y)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (fma.f64 #s(literal 1/2 binary64) x y) y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
accuracy	2.007790480844482	(fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (fma.f64 #s(literal 1/2 binary64) x y) y))
accuracy	30.977349402040083	(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y)))
accuracy	30.98569366376499	(.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (fma.f64 #s(literal 1/2 binary64) x y) y)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (fma.f64 #s(literal 1/2 binary64) x y) y))))
accuracy	0.24609375	(.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x)
accuracy	0.2539041858302058	(.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))))
accuracy	0.469413769536884	(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x) (sqrt.f64 #s(literal 2 binary64)))
accuracy	31.456519999681124	#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))))
accuracy	0.0390625	(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	0.2539041858302058	(.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	0.26953125	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy	5.192908185297558	#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	0.2539041858302058	(.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	0.26953125	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy	31.599496817295755	#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
accuracy	0.033535009768442016	(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (fma.f64 #s(literal 1/2 binary64) x y))
accuracy	0.03515625	(.f64 (fma.f64 #s(literal 1/2 binary64) x y) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (fma.f64 #s(literal 1/2 binary64) x y)))
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) (fma.f64 #s(literal 1/2 binary64) x y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))))
accuracy	0.26953125	(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x y) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (fma.f64 #s(literal 1/2 binary64) x y))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))

Samples

311.0ms

256×

valid

Compiler

Compiled 522 to 44 computations (91.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 253.0ms

ival-div: 183.0ms (72.4% of total)

ival-mult: 56.0ms (22.2% of total)

ival-sqrt: 5.0ms (2% of total)

ival-add: 4.0ms (1.6% of total)

ival-exp: 2.0ms (0.8% of total)

ival-sub: 2.0ms (0.8% of total)

exact: 1.0ms (0.4% of total)

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

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

series75.0ms (0.4%)

Memory

25.3MiB live, 142.6MiB allocated

Counts

23 → 660

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
12.0ms	z	@	-inf	((* (+ (* 1/2 x) y) (/ (- (* 1/2 x) y) (+ (* 1/2 x) y))) (* (* (* (+ (* 1/2 x) y) (/ (- (* 1/2 x) y) (+ (* 1/2 x) y))) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* 1/2 x) y) (/ (- (* 1/2 x) y) (+ (* 1/2 x) y))) (sqrt (* z 2))) (+ (* 1/2 x) y) (* (* (- (* 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))) (* (* (* 1/2 (sqrt z)) x) (sqrt 2)) (* (* 1/2 (sqrt z)) x) (* (+ (* (* 1/4 x) x) (* (+ (* 1/2 x) y) y)) (/ (- (* 1/2 x) y) (+ (* (* 1/4 x) x) (* (+ (* 1/2 x) y) y)))) (* (* (* (+ (* (* 1/4 x) x) (* (+ (* 1/2 x) y) y)) (/ (- (* 1/2 x) y) (+ (* (* 1/4 x) x) (* (+ (* 1/2 x) y) y)))) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* 1/4 x) x) (* (+ (* 1/2 x) y) y)) (/ (- (* 1/2 x) y) (+ (* (* 1/4 x) x) (* (+ (* 1/2 x) y) y)))) (sqrt (* z 2))) (+ (* (* 1/4 x) x) (* (+ (* 1/2 x) y) y)) (/ (- (* 1/2 x) y) (+ (* 1/2 x) y)) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1) (/ (- (* 1/2 x) y) (+ (* (* 1/4 x) x) (* (+ (* 1/2 x) y) y))))
7.0ms	x	@	-inf	((* (+ (* 1/2 x) y) (/ (- (* 1/2 x) y) (+ (* 1/2 x) y))) (* (* (* (+ (* 1/2 x) y) (/ (- (* 1/2 x) y) (+ (* 1/2 x) y))) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* 1/2 x) y) (/ (- (* 1/2 x) y) (+ (* 1/2 x) y))) (sqrt (* z 2))) (+ (* 1/2 x) y) (* (* (- (* 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))) (* (* (* 1/2 (sqrt z)) x) (sqrt 2)) (* (* 1/2 (sqrt z)) x) (* (+ (* (* 1/4 x) x) (* (+ (* 1/2 x) y) y)) (/ (- (* 1/2 x) y) (+ (* (* 1/4 x) x) (* (+ (* 1/2 x) y) y)))) (* (* (* (+ (* (* 1/4 x) x) (* (+ (* 1/2 x) y) y)) (/ (- (* 1/2 x) y) (+ (* (* 1/4 x) x) (* (+ (* 1/2 x) y) y)))) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* 1/4 x) x) (* (+ (* 1/2 x) y) y)) (/ (- (* 1/2 x) y) (+ (* (* 1/4 x) x) (* (+ (* 1/2 x) y) y)))) (sqrt (* z 2))) (+ (* (* 1/4 x) x) (* (+ (* 1/2 x) y) y)) (/ (- (* 1/2 x) y) (+ (* 1/2 x) y)) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1) (/ (- (* 1/2 x) y) (+ (* (* 1/4 x) x) (* (+ (* 1/2 x) y) y))))
4.0ms	x	@	inf	((* (+ (* 1/2 x) y) (/ (- (* 1/2 x) y) (+ (* 1/2 x) y))) (* (* (* (+ (* 1/2 x) y) (/ (- (* 1/2 x) y) (+ (* 1/2 x) y))) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* 1/2 x) y) (/ (- (* 1/2 x) y) (+ (* 1/2 x) y))) (sqrt (* z 2))) (+ (* 1/2 x) y) (* (* (- (* 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))) (* (* (* 1/2 (sqrt z)) x) (sqrt 2)) (* (* 1/2 (sqrt z)) x) (* (+ (* (* 1/4 x) x) (* (+ (* 1/2 x) y) y)) (/ (- (* 1/2 x) y) (+ (* (* 1/4 x) x) (* (+ (* 1/2 x) y) y)))) (* (* (* (+ (* (* 1/4 x) x) (* (+ (* 1/2 x) y) y)) (/ (- (* 1/2 x) y) (+ (* (* 1/4 x) x) (* (+ (* 1/2 x) y) y)))) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* 1/4 x) x) (* (+ (* 1/2 x) y) y)) (/ (- (* 1/2 x) y) (+ (* (* 1/4 x) x) (* (+ (* 1/2 x) y) y)))) (sqrt (* z 2))) (+ (* (* 1/4 x) x) (* (+ (* 1/2 x) y) y)) (/ (- (* 1/2 x) y) (+ (* 1/2 x) y)) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1) (/ (- (* 1/2 x) y) (+ (* (* 1/4 x) x) (* (+ (* 1/2 x) y) y))))
3.0ms	x	@	0	((* (+ (* 1/2 x) y) (/ (- (* 1/2 x) y) (+ (* 1/2 x) y))) (* (* (* (+ (* 1/2 x) y) (/ (- (* 1/2 x) y) (+ (* 1/2 x) y))) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* 1/2 x) y) (/ (- (* 1/2 x) y) (+ (* 1/2 x) y))) (sqrt (* z 2))) (+ (* 1/2 x) y) (* (* (- (* 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))) (* (* (* 1/2 (sqrt z)) x) (sqrt 2)) (* (* 1/2 (sqrt z)) x) (* (+ (* (* 1/4 x) x) (* (+ (* 1/2 x) y) y)) (/ (- (* 1/2 x) y) (+ (* (* 1/4 x) x) (* (+ (* 1/2 x) y) y)))) (* (* (* (+ (* (* 1/4 x) x) (* (+ (* 1/2 x) y) y)) (/ (- (* 1/2 x) y) (+ (* (* 1/4 x) x) (* (+ (* 1/2 x) y) y)))) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* 1/4 x) x) (* (+ (* 1/2 x) y) y)) (/ (- (* 1/2 x) y) (+ (* (* 1/4 x) x) (* (+ (* 1/2 x) y) y)))) (sqrt (* z 2))) (+ (* (* 1/4 x) x) (* (+ (* 1/2 x) y) y)) (/ (- (* 1/2 x) y) (+ (* 1/2 x) y)) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1) (/ (- (* 1/2 x) y) (+ (* (* 1/4 x) x) (* (+ (* 1/2 x) y) y))))
3.0ms	z	@	0	((* (+ (* 1/2 x) y) (/ (- (* 1/2 x) y) (+ (* 1/2 x) y))) (* (* (* (+ (* 1/2 x) y) (/ (- (* 1/2 x) y) (+ (* 1/2 x) y))) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* 1/2 x) y) (/ (- (* 1/2 x) y) (+ (* 1/2 x) y))) (sqrt (* z 2))) (+ (* 1/2 x) y) (* (* (- (* 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))) (* (* (* 1/2 (sqrt z)) x) (sqrt 2)) (* (* 1/2 (sqrt z)) x) (* (+ (* (* 1/4 x) x) (* (+ (* 1/2 x) y) y)) (/ (- (* 1/2 x) y) (+ (* (* 1/4 x) x) (* (+ (* 1/2 x) y) y)))) (* (* (* (+ (* (* 1/4 x) x) (* (+ (* 1/2 x) y) y)) (/ (- (* 1/2 x) y) (+ (* (* 1/4 x) x) (* (+ (* 1/2 x) y) y)))) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* 1/4 x) x) (* (+ (* 1/2 x) y) y)) (/ (- (* 1/2 x) y) (+ (* (* 1/4 x) x) (* (+ (* 1/2 x) y) y)))) (sqrt (* z 2))) (+ (* (* 1/4 x) x) (* (+ (* 1/2 x) y) y)) (/ (- (* 1/2 x) y) (+ (* 1/2 x) y)) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1) (/ (- (* 1/2 x) y) (+ (* (* 1/4 x) x) (* (+ (* 1/2 x) y) y))))

simplify380.0ms (2.2%)

Memory

0.6MiB live, 239.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 860×	`lower-fma.f64`
9 860×	`lower-fma.f32`
6 024×	`lower-*.f64`
6 024×	`lower-*.f32`
2 344×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	489	10331
1	1568	9999
2	5039	9240
0	8424	8974

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 657

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

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

rewrite382.0ms (2.3%)

Memory

-5.8MiB live, 488.9MiB allocated

Rules

8 712×	`lower-fma.f32`
8 704×	`lower-fma.f64`
5 152×	`lower-*.f32`
5 120×	`lower-*.f64`
4 926×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	377
0	88	348
1	248	266
2	1535	266
0	8594	266

Stop Event

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

Counts

23 → 2 011

Calls

Call 1

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

Outputs
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(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (fma.f64 x #s(literal 1/2 binary64) y) y)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))) #s(literal -1 binary64)))
(+.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (fma.f64 x #s(literal 1/2 binary64) y) y)))) (.f64 (neg.f64 (/.f64 y (-.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) y) #s(literal 2 binary64))))) (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) x) x) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) y))))
(+.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (fma.f64 x #s(literal 1/2 binary64) y) y)))) (.f64 (neg.f64 (/.f64 y (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64) (pow.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) y) #s(literal 3 binary64))))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) y) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) y) y (.f64 #s(literal -1/4 binary64) (*.f64 x x)))))))
(+.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (fma.f64 x #s(literal 1/2 binary64) y) y)))) (.f64 (neg.f64 y) (pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (fma.f64 x #s(literal 1/2 binary64) y) y)) #s(literal -1 binary64))))
(+.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (fma.f64 x #s(literal 1/2 binary64) y) y)))) (neg.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) y)))))

eval700.0ms (4.1%)

Memory: 71.2MiB live, 1 212.8MiB allocated
Compiler: Compiled 186 406 to 9 165 computations (95.1% saved)

prune1.2s (6.9%)

Memory

10.6MiB live, 859.4MiB allocated

Pruning

34 alts after pruning (33 fresh and 1 done)

	Pruned	Kept	Total
New	3 888	28	3 916
Fresh	8	5	13
Picked	4	1	5
Done	0	0	0
Total	3 900	34	3 934

Accuracy

100.0%

Counts

3 934 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.2%	(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 y (neg.f64 y))) (.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 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
	53.5%	(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 y (neg.f64 y))) (.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
	56.6%	(/.f64 (.f64 #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (pow.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64)))
	56.7%	(.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (.f64 (neg.f64 y) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
▶	93.1%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 #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 #s(literal 2 binary64) z))))
	56.7%	(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (fma.f64 x #s(literal 1/2 binary64) y)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	21.9%	(.f64 (.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 y (neg.f64 y))) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (fma.f64 x #s(literal 1/2 binary64) y) y)))) (/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (fma.f64 x #s(literal 1/2 binary64) y))) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (fma.f64 x #s(literal 1/2 binary64) y) y)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	22.0%	(.f64 (.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 y (neg.f64 y)))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 y (neg.f64 y))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	56.6%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	56.5%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	48.4%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) z) (.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	56.5%	(.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)) #s(literal 1 binary64)))
▶	99.4%	(.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))))
	95.3%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (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))))
	92.4%	(.f64 (.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 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))))
▶	86.4%	(.f64 (.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))))
✓	56.7%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	92.3%	(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
	56.5%	(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	52.6%	(.f64 (.f64 (.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 y (neg.f64 y)))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	92.2%	(.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))) #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))))
	57.0%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	55.9%	(.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)))
	56.9%	(.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))))
	28.3%	(.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)) #s(literal 1 binary64)))
	59.2%	(.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 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
▶	30.9%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	94.2%	(.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))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
	28.3%	(.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)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
▶	57.2%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (sqrt.f64 z) (fma.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	59.1%	(.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)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
	30.8%	(.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)))
	88.1%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
	56.5%	#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)))

Compiler

Compiled 1 393 to 1 168 computations (16.2% saved)

simplify252.0ms (1.5%)

Memory

-51.5MiB live, 168.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)))
cost-diff	0	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (sqrt.f64 z) (fma.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
cost-diff	128	(.f64 (.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))
cost-diff	640	(fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(.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 #s(literal 2 binary64) z)))
cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
cost-diff	0	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
cost-diff	0	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.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 #s(literal 2 binary64) z))))
cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
cost-diff	0	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
cost-diff	0	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
cost-diff	0	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #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))))

Rules

15 232×	`lower-fma.f32`
15 224×	`lower-fma.f64`
5 916×	`lower-*.f32`
5 884×	`lower-*.f64`
2 368×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	449
0	82	440
1	145	438
2	279	438
3	701	438
4	2031	435
5	3713	435
0	8044	430

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

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

localize141.0ms (0.8%)

Memory

-11.4MiB live, 255.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.45703125	(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
accuracy	2.6569999407200195	(.f64 (sqrt.f64 z) (fma.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
accuracy	4.458458521509992	(.f64 (.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))
accuracy	31.599496817295755	#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
accuracy	0.00390625	(.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 #s(literal 2 binary64) z)))
accuracy	0.0390625	(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	0.140625	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.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 #s(literal 2 binary64) z))))
accuracy	5.192908185297558	#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	0.2539041858302058	(.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 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
accuracy	0.26953125	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy	14.611181041874138	#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 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	0.26953125	(.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy	31.178317061144025	#s(approx (- (* x 1/2) y) (neg.f64 y))
accuracy	31.599496817295755	#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	0.2539041858302058	(.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))))
accuracy	0.26953125	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))

Samples

99.0ms

256×

valid

Compiler

Compiled 357 to 41 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-mult: 45.0ms (66.5% of total)

ival-sqrt: 6.0ms (8.9% of total)

ival-div: 5.0ms (7.4% of total)

ival-add: 4.0ms (5.9% of total)

ival-exp: 4.0ms (5.9% of total)

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

exact: 1.0ms (1.5% of total)

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

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

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

series299.0ms (1.8%)

Memory

-10.4MiB live, 191.0MiB allocated

Counts

24 → 636

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

Calls

12 calls:

Time	Variable		Point	Expression
8.0ms	y	@	0	((* (* (- (* 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) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (* (exp (/ (* t t) 2)) (sqrt (* 2 z)))) (* (exp (/ (* t t) 2)) (sqrt (* 2 z))) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (* (* (sqrt z) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2))) (neg y)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* t t) 1/2) (exp (* (* t t) 1/2)) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1) (* (sqrt z) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2))) (* x (sqrt 2)))
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) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (* (exp (/ (* t t) 2)) (sqrt (* 2 z)))) (* (exp (/ (* t t) 2)) (sqrt (* 2 z))) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (* (* (sqrt z) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2))) (neg y)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* t t) 1/2) (exp (* (* t t) 1/2)) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1) (* (sqrt z) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2))) (* x (sqrt 2)))
3.0ms	z	@	0	((* (* (- (* 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) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (* (exp (/ (* t t) 2)) (sqrt (* 2 z)))) (* (exp (/ (* t t) 2)) (sqrt (* 2 z))) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (* (* (sqrt z) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2))) (neg y)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* t t) 1/2) (exp (* (* t t) 1/2)) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1) (* (sqrt z) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2))) (* x (sqrt 2)))
3.0ms	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) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (* (exp (/ (* t t) 2)) (sqrt (* 2 z)))) (* (exp (/ (* t t) 2)) (sqrt (* 2 z))) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (* (* (sqrt z) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2))) (neg y)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* t t) 1/2) (exp (* (* t t) 1/2)) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1) (* (sqrt z) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2))) (* x (sqrt 2)))
3.0ms	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) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (* (exp (/ (* t t) 2)) (sqrt (* 2 z)))) (* (exp (/ (* t t) 2)) (sqrt (* 2 z))) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (* (* (sqrt z) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2))) (neg y)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* t t) 1/2) (exp (* (* t t) 1/2)) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1) (* (sqrt z) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2))) (* x (sqrt 2)))

simplify268.0ms (1.6%)

Memory

24.1MiB live, 324.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 932×	`lower-fma.f64`
11 932×	`lower-fma.f32`
7 564×	`lower-*.f64`
7 564×	`lower-*.f32`
1 908×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	203	8782
1	690	8707
2	2434	8077
3	5629	8077
0	8551	7960

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 636

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

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

rewrite180.0ms (1.1%)

Memory

41.0MiB live, 342.1MiB allocated

Rules

6 348×	`lower-fma.f32`
6 340×	`lower-fma.f64`
4 606×	`lower-*.f32`
4 574×	`lower-*.f64`
3 586×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	50	327
0	82	317
1	227	316
2	1275	316
0	8461	316

Stop Event

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

Counts

24 → 448

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

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

eval348.0ms (2.1%)

Memory: 15.0MiB live, 536.7MiB allocated
Compiler: Compiled 35 447 to 2 327 computations (93.4% saved)

prune233.0ms (1.4%)

Memory

-23.3MiB live, 439.6MiB allocated

Pruning

45 alts after pruning (43 fresh and 2 done)

	Pruned	Kept	Total
New	1 390	28	1 418
Fresh	13	15	28
Picked	4	1	5
Done	0	1	1
Total	1 407	45	1 452

Accuracy

100.0%

Counts

1 452 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.2%	(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (.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 #s(literal 2 binary64) z)))) (fma.f64 #s(literal 1/2 binary64) x y))
	53.5%	(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 y (neg.f64 y))) (.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
	87.1%	(/.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 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
	56.7%	(.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (.f64 (neg.f64 y) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	93.0%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) 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 z)) (sqrt.f64 #s(literal 2 binary64))))
	93.1%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.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))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
	87.1%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) 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))))
	56.5%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (* (exp (/ (* t t) 2)) (sqrt (* 2 z))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
▶	56.7%	(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (fma.f64 x #s(literal 1/2 binary64) y)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	21.9%	(.f64 (.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 y (neg.f64 y))) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (fma.f64 x #s(literal 1/2 binary64) y) y)))) (/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (fma.f64 x #s(literal 1/2 binary64) y))) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (fma.f64 x #s(literal 1/2 binary64) y) y)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	48.4%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) z) (.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
▶	95.3%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (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))))
✓	56.7%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
▶	86.3%	(.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
	52.6%	(.f64 (.f64 (.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 y (neg.f64 y)))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	30.8%	(.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)))
	30.8%	(.f64 (.f64 (.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	92.2%	(.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))) #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))))
	29.3%	(.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)))
	57.0%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	55.9%	(.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)))
	61.7%	(.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))))
	56.9%	(.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))))
	50.2%	(.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))))
▶	28.3%	(.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)) #s(literal 1 binary64)))
	30.8%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	63.9%	(.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))))
	61.3%	(.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 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
	54.3%	(.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 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
✓	30.9%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	94.2%	(.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))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
▶	88.2%	(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
	57.7%	(.f64 #s(approx (- ( x 1/2) y) (.f64 x #s(literal 1/2 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))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
	61.1%	(.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (.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 #s(literal 2 binary64) z))))
	50.0%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 y (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -2 binary64)) (sqrt.f64 z)) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	28.3%	(.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)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	90.7%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (sqrt.f64 z) (fma.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #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))))
	29.0%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (sqrt.f64 z) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	57.2%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (sqrt.f64 z) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) (fma.f64 #s(literal -1/2 binary64) x y)))) (neg.f64 y))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	50.2%	(.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 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
	59.1%	(.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)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
	54.2%	(.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 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
	52.5%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 #s(approx ( (sqrt z) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2))) (.f64 (/.f64 (sqrt.f64 z) y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) x y)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	27.4%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 #s(approx ( (sqrt z) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2))) (.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 z) y) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	56.5%	#s(approx (* (- (* x 1/2) y) (* (exp (/ (* t t) 2)) (sqrt (* 2 z)))) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))

Compiler

Compiled 1 792 to 1 549 computations (13.6% saved)

simplify149.0ms (0.9%)

Memory

13.2MiB live, 237.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

9 586×	`lower-fma.f32`
9 576×	`lower-fma.f64`
5 534×	`lower-*.f32`
5 500×	`lower-*.f64`
3 172×	`lower-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	47	475
0	80	454
1	153	454
2	290	454
3	844	446
4	2755	444
5	4431	444
0	8511	444

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

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

localize167.0ms (1%)

Memory

-28.1MiB live, 272.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.033535009768442016	(/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (fma.f64 x #s(literal 1/2 binary64) y))
accuracy	0.2539041858302058	(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (fma.f64 x #s(literal 1/2 binary64) y)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
accuracy	0.25390625	(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (fma.f64 x #s(literal 1/2 binary64) y))))
accuracy	31.599496817295755	#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
accuracy	0.23828125	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 z))
accuracy	0.2539041858302058	(.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
accuracy	0.467792529305326	(.f64 (.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
accuracy	14.611181041874138	#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))
accuracy	0	(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
accuracy	0.00390625	(.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
accuracy	0.14453125	(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
accuracy	14.611181041874138	#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 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)) #s(literal 1 binary64)))
accuracy	0.26953125	(.f64 #s(approx (- ( x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
accuracy	31.599496817295755	#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
accuracy	32.0757393272955	#s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64)))
accuracy	0.08984375	(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 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	0.26953125	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy	2.853744494043844	#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)))

Samples

108.0ms

256×

valid

Compiler

Compiled 403 to 44 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-mult: 42.0ms (55.2% of total)

const: 14.0ms (18.4% of total)

ival-sqrt: 6.0ms (7.9% of total)

ival-add: 5.0ms (6.6% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

series66.0ms (0.4%)

Memory

-1.0MiB live, 118.9MiB allocated

Counts

24 → 696

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

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

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	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) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (sqrt (* 2 z))) (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (exp (/ (* t t) 2)) (+ (* (* t t) 1/2) 1) (* (* (* (- (* 1/2 x) y) (sqrt z)) (sqrt 2)) (exp (/ (* t t) 2))) (* (* (- (* 1/2 x) y) (sqrt z)) (sqrt 2)) (* (- (* 1/2 x) y) (sqrt z)) (- (* 1/2 x) y) (* (+ (* x 1/2) y) (* (sqrt (* 2 z)) (/ (- (* x 1/2) y) (+ (* x 1/2) y)))) (* (* (+ (* x 1/2) y) (* (sqrt (* 2 z)) (/ (- (* x 1/2) y) (+ (* x 1/2) y)))) (exp (/ (* t t) 2))) (+ (* x 1/2) y) (* (sqrt (* 2 z)) (/ (- (* x 1/2) y) (+ (* x 1/2) y))) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8) (exp (/ (* t t) 2)) (sqrt (* 2 z)) (/ (- (* x 1/2) y) (+ (* x 1/2) y)))
4.0ms	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) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (sqrt (* 2 z))) (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (exp (/ (* t t) 2)) (+ (* (* t t) 1/2) 1) (* (* (* (- (* 1/2 x) y) (sqrt z)) (sqrt 2)) (exp (/ (* t t) 2))) (* (* (- (* 1/2 x) y) (sqrt z)) (sqrt 2)) (* (- (* 1/2 x) y) (sqrt z)) (- (* 1/2 x) y) (* (+ (* x 1/2) y) (* (sqrt (* 2 z)) (/ (- (* x 1/2) y) (+ (* x 1/2) y)))) (* (* (+ (* x 1/2) y) (* (sqrt (* 2 z)) (/ (- (* x 1/2) y) (+ (* x 1/2) y)))) (exp (/ (* t t) 2))) (+ (* x 1/2) y) (* (sqrt (* 2 z)) (/ (- (* x 1/2) y) (+ (* x 1/2) y))) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8) (exp (/ (* t t) 2)) (sqrt (* 2 z)) (/ (- (* x 1/2) y) (+ (* x 1/2) y)))
4.0ms	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) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (sqrt (* 2 z))) (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (exp (/ (* t t) 2)) (+ (* (* t t) 1/2) 1) (* (* (* (- (* 1/2 x) y) (sqrt z)) (sqrt 2)) (exp (/ (* t t) 2))) (* (* (- (* 1/2 x) y) (sqrt z)) (sqrt 2)) (* (- (* 1/2 x) y) (sqrt z)) (- (* 1/2 x) y) (* (+ (* x 1/2) y) (* (sqrt (* 2 z)) (/ (- (* x 1/2) y) (+ (* x 1/2) y)))) (* (* (+ (* x 1/2) y) (* (sqrt (* 2 z)) (/ (- (* x 1/2) y) (+ (* x 1/2) y)))) (exp (/ (* t t) 2))) (+ (* x 1/2) y) (* (sqrt (* 2 z)) (/ (- (* x 1/2) y) (+ (* x 1/2) y))) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8) (exp (/ (* t t) 2)) (sqrt (* 2 z)) (/ (- (* x 1/2) y) (+ (* x 1/2) y)))
3.0ms	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) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (sqrt (* 2 z))) (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (exp (/ (* t t) 2)) (+ (* (* t t) 1/2) 1) (* (* (* (- (* 1/2 x) y) (sqrt z)) (sqrt 2)) (exp (/ (* t t) 2))) (* (* (- (* 1/2 x) y) (sqrt z)) (sqrt 2)) (* (- (* 1/2 x) y) (sqrt z)) (- (* 1/2 x) y) (* (+ (* x 1/2) y) (* (sqrt (* 2 z)) (/ (- (* x 1/2) y) (+ (* x 1/2) y)))) (* (* (+ (* x 1/2) y) (* (sqrt (* 2 z)) (/ (- (* x 1/2) y) (+ (* x 1/2) y)))) (exp (/ (* t t) 2))) (+ (* x 1/2) y) (* (sqrt (* 2 z)) (/ (- (* x 1/2) y) (+ (* x 1/2) y))) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8) (exp (/ (* t t) 2)) (sqrt (* 2 z)) (/ (- (* x 1/2) y) (+ (* x 1/2) y)))
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) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (sqrt (* 2 z))) (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (exp (/ (* t t) 2)) (+ (* (* t t) 1/2) 1) (* (* (* (- (* 1/2 x) y) (sqrt z)) (sqrt 2)) (exp (/ (* t t) 2))) (* (* (- (* 1/2 x) y) (sqrt z)) (sqrt 2)) (* (- (* 1/2 x) y) (sqrt z)) (- (* 1/2 x) y) (* (+ (* x 1/2) y) (* (sqrt (* 2 z)) (/ (- (* x 1/2) y) (+ (* x 1/2) y)))) (* (* (+ (* x 1/2) y) (* (sqrt (* 2 z)) (/ (- (* x 1/2) y) (+ (* x 1/2) y)))) (exp (/ (* t t) 2))) (+ (* x 1/2) y) (* (sqrt (* 2 z)) (/ (- (* x 1/2) y) (+ (* x 1/2) y))) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8) (exp (/ (* t t) 2)) (sqrt (* 2 z)) (/ (- (* x 1/2) y) (+ (* x 1/2) y)))

simplify208.0ms (1.2%)

Memory

17.9MiB live, 286.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 714×	`lower-fma.f64`
8 714×	`lower-fma.f32`
7 424×	`lower-*.f64`
7 424×	`lower-*.f32`
2 108×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	491	10968
1	1609	10635
2	5431	9834
0	8476	9549

Stop Event

1×	iter limit
1×	node limit

Counts

696 → 693

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

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

rewrite379.0ms (2.2%)

Memory

-12.4MiB live, 349.8MiB allocated

Rules

4 720×	`lower-/.f32`
4 718×	`lower-/.f64`
4 360×	`lower-*.f32`
4 326×	`lower-*.f64`
4 288×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	328
0	80	307
1	254	307
2	1399	297
0	8531	297

Stop Event

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

Counts

24 → 1 119

Calls

Call 1

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

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

eval430.0ms (2.5%)

Memory: 29.9MiB live, 678.1MiB allocated
Compiler: Compiled 75 746 to 4 913 computations (93.5% saved)

prune2.7s (15.8%)

Memory

-3.9MiB live, 815.9MiB allocated

Pruning

54 alts after pruning (51 fresh and 3 done)

	Pruned	Kept	Total
New	2 224	22	2 246
Fresh	9	29	38
Picked	3	2	5
Done	1	1	2
Total	2 237	54	2 291

Accuracy

100.0%

Counts

2 291 → 54

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.0%	(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))) (fma.f64 #s(literal 1/2 binary64) x y))
	53.5%	(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 y (neg.f64 y))) (.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
	87.1%	(/.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 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
	56.7%	(.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (.f64 (neg.f64 y) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	73.1%	(.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) #s(literal 1 binary64)) (/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x y)))
	93.1%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.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))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
	87.1%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) 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))))
	56.5%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (* (exp (/ (* t t) 2)) (sqrt (* 2 z))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
	48.1%	(.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) x y))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	26.4%	(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
✓	56.7%	(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (fma.f64 x #s(literal 1/2 binary64) y)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	36.4%	(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (/ (- (* x 1/2) y) (+ (* x 1/2) y)) (fma.f64 (/.f64 y x) #s(literal -4 binary64) #s(literal 1 binary64))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	36.8%	(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (/ (- (* x 1/2) y) (+ (* x 1/2) y)) (-.f64 (/.f64 x y) #s(literal 1 binary64))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	42.1%	(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (/ (- (* x 1/2) y) (+ (* x 1/2) y)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (neg.f64 x) (/.f64 (.f64 (.f64 x x) (fma.f64 (/.f64 (neg.f64 x) y) #s(literal -1/4 binary64) #s(literal -1/2 binary64))) y)) y))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	27.0%	(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (/ (- (* x 1/2) y) (+ (* x 1/2) y)) #s(literal 1 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	30.0%	(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (/ (- (* x 1/2) y) (+ (* x 1/2) y)) #s(literal -1 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	36.7%	(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (* (sqrt (* 2 z)) (/ (- (* x 1/2) y) (+ (* x 1/2) y))) (.f64 (sqrt.f64 z) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	21.9%	(.f64 (.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 y (neg.f64 y))) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (fma.f64 x #s(literal 1/2 binary64) y) y)))) (/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (fma.f64 x #s(literal 1/2 binary64) y))) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (fma.f64 x #s(literal 1/2 binary64) y) y)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	95.3%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/48 binary64) t) t #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
	95.3%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (.f64 #s(literal 1/48 binary64) (.f64 t t))) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
	28.3%	(.f64 (.f64 (.f64 #s(approx (- ( x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	30.8%	(.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)))
	30.8%	(.f64 (.f64 (.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	50.2%	(.f64 (.f64 (.f64 #s(approx (- ( 1/2 x) 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 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
	54.2%	(.f64 (.f64 (.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
	29.3%	(.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)))
	57.0%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	55.9%	(.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)))
	58.4%	(.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))))
	56.9%	(.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))))
	50.2%	(.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))))
✓	28.3%	(.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)) #s(literal 1 binary64)))
	30.8%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	63.9%	(.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))))
	61.3%	(.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 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
	54.3%	(.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 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
✓	30.9%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	94.2%	(.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))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
	51.3%	(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (- ( 1/2 x) y) (.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
	55.8%	(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (- ( 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
	42.4%	(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) #s(approx (+ (* (* t t) 1/2) 1) (.f64 (.f64 t t) #s(literal 1/2 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
	57.7%	(.f64 #s(approx (- ( x 1/2) y) (.f64 x #s(literal 1/2 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))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
	61.1%	(.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (.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 #s(literal 2 binary64) z))))
	50.0%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 y (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -2 binary64)) (sqrt.f64 z)) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	29.0%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (sqrt.f64 z) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	57.2%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (sqrt.f64 z) #s(approx (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) (fma.f64 #s(literal -1/2 binary64) x y)))) (neg.f64 y))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	61.2%	(.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 (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))))
	59.1%	(.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)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
	54.2%	(.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 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
	52.5%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 #s(approx ( (sqrt z) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2))) (.f64 (/.f64 (sqrt.f64 z) y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) x y)))) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	27.4%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 #s(approx ( (sqrt z) (+ (* (/ (* x (sqrt 2)) y) -1/2) (sqrt 2))) (.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 z) y) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	88.2%	(.f64 #s(approx ( (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (fma.f64 (fma.f64 (.f64 t t) (-.f64 (.f64 x #s(literal 1/2 binary64)) y) x) #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
	56.7%	(.f64 #s(approx ( (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
	56.5%	#s(approx (* (- (* x 1/2) y) (* (exp (/ (* t t) 2)) (sqrt (* 2 z)))) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))

Compiler

Compiled 3 168 to 1 342 computations (57.6% saved)

regimes456.0ms (2.7%)

Memory

-23.6MiB live, 768.6MiB allocated

Counts

97 → 1

Calls

Call 1

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

57.0ms	(/.f64 (*.f64 t t) #s(literal 2 binary64))
53.0ms	(*.f64 t t)
42.0ms	(*.f64 z #s(literal 2 binary64))
41.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
33.0ms	(*.f64 x #s(literal 1/2 binary64))

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`y`
99.4%	1	`z`
99.4%	1	`t`
99.4%	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))))`
99.4%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
99.4%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
99.4%	1	`(*.f64 x #s(literal 1/2 binary64))`
99.4%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
99.4%	1	`(*.f64 z #s(literal 2 binary64))`
99.4%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
99.4%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
99.4%	1	`(*.f64 t t)`

Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes410.0ms (2.4%)

Memory

30.8MiB live, 467.9MiB allocated

Counts

81 → 1

Calls

Call 1

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

84.0ms	z
39.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
34.0ms	(*.f64 x #s(literal 1/2 binary64))
30.0ms	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
30.0ms	t

Results

Accuracy	Segments	Branch
95.3%	1	`x`
95.3%	1	`y`
95.3%	1	`z`
95.3%	1	`t`
95.3%	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))))`
95.3%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
95.3%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
95.3%	1	`(*.f64 x #s(literal 1/2 binary64))`
95.3%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
95.3%	1	`(*.f64 z #s(literal 2 binary64))`
95.3%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
95.3%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
95.3%	1	`(*.f64 t t)`

Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes396.0ms (2.3%)

Memory

-7.0MiB live, 322.9MiB allocated

Counts

62 → 1

Calls

Call 1

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

Calls

13 calls:

69.0ms	(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
66.0ms	z
43.0ms	(*.f64 x #s(literal 1/2 binary64))
41.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
27.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
95.3%	1	`t`
95.3%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
95.3%	1	`(*.f64 t t)`
95.3%	1	`x`
95.3%	1	`y`
95.3%	1	`z`
95.3%	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))))`
95.3%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
95.3%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
95.3%	1	`(*.f64 x #s(literal 1/2 binary64))`
95.3%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
95.3%	1	`(*.f64 z #s(literal 2 binary64))`
95.3%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`

Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes512.0ms (3%)

Memory

-31.9MiB live, 286.2MiB allocated

Counts

60 → 1

Calls

Call 1

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

Calls

13 calls:

130.0ms	(*.f64 z #s(literal 2 binary64))
61.0ms	(.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))))
55.0ms	(*.f64 t t)
51.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
49.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)

Results

Accuracy	Segments	Branch
94.2%	1	`y`
94.2%	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))))`
94.2%	1	`x`
94.2%	1	`t`
94.2%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
94.2%	1	`(*.f64 x #s(literal 1/2 binary64))`
94.2%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
94.2%	1	`(*.f64 t t)`
94.2%	1	`z`
94.2%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
94.2%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
94.2%	1	`(*.f64 z #s(literal 2 binary64))`
94.2%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`

Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes354.0ms (2.1%)

Memory

20.1MiB live, 219.1MiB allocated

Counts

42 → 1

Calls

Call 1

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

Calls

13 calls:

126.0ms	z
44.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
37.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
29.0ms	(/.f64 (*.f64 t t) #s(literal 2 binary64))
26.0ms	(*.f64 t t)

Results

Accuracy	Segments	Branch
88.2%	1	`y`
88.2%	1	`z`
88.2%	1	`t`
88.2%	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))))`
88.2%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
88.2%	1	`(*.f64 z #s(literal 2 binary64))`
88.2%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
88.2%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
88.2%	1	`(*.f64 t t)`
88.2%	1	`x`
88.2%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
88.2%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
88.2%	1	`(*.f64 x #s(literal 1/2 binary64))`

Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes158.0ms (0.9%)

Memory

9.1MiB live, 129.7MiB allocated

Counts

27 → 1

Calls

Call 1

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

Outputs

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

Calls

13 calls:

31.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
29.0ms	z
19.0ms	(/.f64 (*.f64 t t) #s(literal 2 binary64))
8.0ms	(*.f64 z #s(literal 2 binary64))
8.0ms	x

Results

Accuracy	Segments	Branch
88.2%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
88.2%	1	`x`
88.2%	1	`y`
88.2%	1	`z`
88.2%	1	`t`
88.2%	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))))`
88.2%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
88.2%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
88.2%	1	`(*.f64 x #s(literal 1/2 binary64))`
88.2%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
88.2%	1	`(*.f64 z #s(literal 2 binary64))`
88.2%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
88.2%	1	`(*.f64 t t)`

Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes103.0ms (0.6%)

Memory

-1.7MiB live, 232.6MiB allocated

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

13 calls:

12.0ms	(*.f64 t t)
9.0ms	(*.f64 x #s(literal 1/2 binary64))
9.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
9.0ms	x
8.0ms	z

Results

Accuracy	Segments	Branch
88.0%	2	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
73.6%	3	`x`
74.2%	3	`y`
64.7%	4	`z`
88.0%	2	`t`
82.7%	3	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
63.0%	4	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
58.8%	2	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
73.6%	3	`(*.f64 x #s(literal 1/2 binary64))`
64.7%	4	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
64.7%	4	`(*.f64 z #s(literal 2 binary64))`
88.0%	2	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
88.0%	2	`(*.f64 t t)`

Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes35.0ms (0.2%)

Memory

-1.8MiB live, 76.9MiB allocated

Counts

19 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

9.0ms	(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
7.0ms	(*.f64 t t)
6.0ms	t
5.0ms	(/.f64 (*.f64 t t) #s(literal 2 binary64))
5.0ms	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
76.0%	3	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
77.9%	2	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
77.9%	2	`t`
77.9%	2	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
77.9%	2	`(*.f64 t t)`

Compiler

Compiled 32 to 39 computations (-21.9% saved)

regimes58.0ms (0.3%)

Memory

9.7MiB live, 170.7MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

13 calls:

6.0ms	z
5.0ms	(/.f64 (*.f64 t t) #s(literal 2 binary64))
5.0ms	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
4.0ms	(*.f64 z #s(literal 2 binary64))
4.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)

Results

Accuracy	Segments	Branch
56.7%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
56.7%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
56.7%	1	`z`
56.7%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
56.7%	1	`(*.f64 z #s(literal 2 binary64))`
56.7%	1	`x`
56.7%	1	`(*.f64 x #s(literal 1/2 binary64))`
56.7%	1	`y`
56.7%	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))))`
56.7%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
56.7%	1	`t`
56.7%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
56.7%	1	`(*.f64 t t)`

Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes20.0ms (0.1%)

Memory

-22.2MiB live, 56.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.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 (.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)))

Calls

13 calls:

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

Results

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

Compiler

Compiled 60 to 88 computations (-46.7% saved)

bsearch22.0ms (0.1%)

Memory

11.7MiB live, 50.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.3466760929070918e-11	72142.05503110461

Samples

13.0ms

160×

valid

Compiler

Compiled 290 to 312 computations (-7.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 4.0ms (45.2% of total)

ival-exp: 2.0ms (22.6% of total)

ival-sub: 1.0ms (11.3% of total)

ival-div: 1.0ms (11.3% of total)

ival-sqrt: 1.0ms (11.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch7.0ms (0%)

Memory

14.6MiB live, 14.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	1.0898567997938071e-11	1.3466760929070918e-11

Samples

3.0ms

48×

valid

Compiler

Compiled 95 to 109 computations (-14.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 1.0ms (44.1% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

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

simplify138.0ms (0.8%)

Memory

-49.5MiB live, 47.2MiB allocated

Algorithm

1×	egg-herbie

Rules

42×	`-commutative-binary64-.f64`
6×	`sub-neg-binary64-neg.f64-+.f64--.f64`
4×	`+-commutative-binary64-+.f64`
2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	338
1	111	338
2	114	338
3	115	338

Stop Event

1×

saturated

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 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (.f64 #s(literal 1/48 binary64) (.f64 t t))) (.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 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 #s(approx ( (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (fma.f64 (fma.f64 (.f64 t t) (-.f64 (.f64 x #s(literal 1/2 binary64)) y) x) #s(literal 1/2 binary64) (neg.f64 y))) (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))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(if (<=.f64 (.f64 t t) #s(literal 2 binary64)) (.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (.f64 (.f64 #s(approx (exp (/ (* t t) 2)) #s(approx (+ (* (* t t) 1/2) 1) (.f64 (.f64 t t) #s(literal 1/2 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
(if (<=.f64 (.f64 t t) #s(literal 4085202129641755/309485009821345068724781056 binary64)) (.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (- ( 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(.f64 #s(approx ( (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))

Outputs
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (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 #s(literal 2 binary64) z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (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 #s(literal 2 binary64) z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (.f64 #s(literal 1/48 binary64) (.f64 t t))) (.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(approx (+ (* 1/48 (* t t)) 1/8) (.f64 #s(literal 1/48 binary64) (.f64 t t))) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (-.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))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (.f64 #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(literal 1/2 binary64) x) y)))
(.f64 #s(approx ( (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (fma.f64 (fma.f64 (.f64 t t) (-.f64 (.f64 x #s(literal 1/2 binary64)) y) x) #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 #s(approx ( (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (fma.f64 (fma.f64 (.f64 t t) (-.f64 (.f64 #s(literal 1/2 binary64) x) y) x) #s(literal 1/2 binary64) (neg.f64 y))) (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))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(if (<=.f64 (.f64 t t) #s(literal 2 binary64)) (.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (.f64 (.f64 #s(approx (exp (/ (* t t) 2)) #s(approx (+ (* (* t t) 1/2) 1) (.f64 (.f64 t t) #s(literal 1/2 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
(if (<=.f64 (.f64 t t) #s(literal 2 binary64)) (.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (.f64 (.f64 #s(approx (exp (/ (* t t) 2)) #s(approx (+ (* (* t t) 1/2) 1) (.f64 (.f64 t t) #s(literal 1/2 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
(if (<=.f64 (.f64 t t) #s(literal 4085202129641755/309485009821345068724781056 binary64)) (.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (- ( 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(if (<=.f64 (.f64 t t) #s(literal 4085202129641755/309485009821345068724781056 binary64)) (.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (.f64 (.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
(.f64 #s(approx ( (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 #s(approx ( (exp (/ (* t t) 2)) (- (* 1/2 x) y)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)) (.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))

soundness1.6s (9.2%)

Memory

12.5MiB live, 1 045.6MiB allocated

Rules

18 902×	`lower-fma.f64`
18 902×	`lower-fma.f32`
9 860×	`lower-fma.f64`
9 860×	`lower-fma.f32`
8 714×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	491	10968
1	1609	10635
2	5431	9834
0	8476	9549
0	52	377
0	88	348
1	248	266
2	1535	266
0	8594	266
0	15	46
0	24	44
1	63	43
2	285	43
3	2343	43
0	8617	43
0	489	10331
1	1568	9999
2	5039	9240
0	8424	8974
0	50	327
0	82	317
1	227	316
2	1275	316
0	8461	316
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×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 1 135 to 537 computations (52.7% saved)

preprocess122.0ms (0.7%)

Memory: 13.2MiB live, 251.6MiB allocated
Remove: (abs t)
Compiler: Compiled 792 to 426 computations (46.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze252.0ms (1.5%)

sample2.0s (11.7%)

explain210.0ms (1.2%)

preprocess109.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify71.0ms (0.4%)

localize74.0ms (0.4%)

series24.0ms (0.1%)

simplify249.0ms (1.5%)

rewrite204.0ms (1.2%)

eval238.0ms (1.4%)

prune88.0ms (0.5%)

simplify203.0ms (1.2%)

localize350.0ms (2.1%)

series75.0ms (0.4%)

simplify380.0ms (2.2%)

rewrite382.0ms (2.3%)

eval700.0ms (4.1%)

prune1.2s (6.9%)

simplify252.0ms (1.5%)

localize141.0ms (0.8%)

series299.0ms (1.8%)

simplify268.0ms (1.6%)

rewrite180.0ms (1.1%)

eval348.0ms (2.1%)

prune233.0ms (1.4%)

simplify149.0ms (0.9%)

localize167.0ms (1%)

series66.0ms (0.4%)

simplify208.0ms (1.2%)

rewrite379.0ms (2.2%)

eval430.0ms (2.5%)

prune2.7s (15.8%)

regimes456.0ms (2.7%)

regimes410.0ms (2.4%)

regimes396.0ms (2.3%)

regimes512.0ms (3%)

regimes354.0ms (2.1%)

regimes158.0ms (0.9%)

regimes103.0ms (0.6%)

regimes35.0ms (0.2%)

regimes58.0ms (0.3%)

regimes20.0ms (0.1%)

bsearch22.0ms (0.1%)

bsearch7.0ms (0%)

simplify138.0ms (0.8%)

soundness1.6s (9.2%)

preprocess122.0ms (0.7%)

end0.0ms (0%)

Profiling