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

analyze106.0ms (0.3%)

Memory

6.8MiB live, 205.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 19 to 17 computations (10.5% saved)

sample21.0s (60.2%)

Memory

6.2MiB live, 1 978.1MiB allocated

Samples

10.8s	8 256×	0	valid
9.6s	2 051×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 19.5s

ival-div: 18.0s (92.3% of total)

ival-mult: 693.0ms (3.5% of total)

ival-sqrt: 559.0ms (2.9% of total)

ival-sub: 148.0ms (0.8% of total)

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

exact: 10.0ms (0.1% of total)

ival-true: 9.0ms (0% of total)

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

Bogosity

preprocess151.0ms (0.4%)

Memory

-12.1MiB live, 137.2MiB 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 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (sqrt.f64 (exp.f64 (*.f64 t t)))))

Symmetry

(abs t)

explain465.0ms (1.3%)

Memory

-1.0MiB live, 309.8MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

116.0ms

512×

valid

Compiler

Compiled 170 to 64 computations (62.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 14.0ms (45.7% of total)

ival-sqrt: 6.0ms (19.6% of total)

ival-exp: 4.0ms (13.1% of total)

ival-sub: 3.0ms (9.8% of total)

ival-div: 3.0ms (9.8% of total)

exact: 1.0ms (3.3% of total)

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify93.0ms (0.3%)

Memory

27.5MiB live, 106.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize93.0ms (0.3%)

Memory

-11.7MiB live, 71.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	accuracy	100.0%	(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
✓	accuracy	100.0%	(.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))))
✓	accuracy	99.7%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))

Samples

61.0ms

256×

valid

Compiler

Compiled 64 to 17 computations (73.4% saved)

Precisions

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

ival-mult: 7.0ms (49.3% of total)

ival-div: 2.0ms (14.1% of total)

ival-exp: 2.0ms (14.1% of total)

ival-sqrt: 2.0ms (14.1% of total)

ival-sub: 1.0ms (7% of total)

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.1%)

Memory

-12.5MiB live, 26.5MiB allocated

Counts

5 → 132

Calls

Call 1

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

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

Calls

33 calls:

Time	Variable		Point	Expression
10.0ms	z	@	-inf	(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
3.0ms	z	@	0	(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
2.0ms	x	@	0	(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
1.0ms	x	@	-inf	(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
1.0ms	y	@	0	(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))

simplify1.3s (3.9%)

Memory

13.7MiB live, 815.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

rewrite347.0ms (1%)

Memory

17.6MiB live, 807.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

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

Counts

5 → 413

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (.f64 t t)))
(exp.f64 (.f64 (log.f64 (exp.f64 (.f64 t (neg.f64 t)))) #s(literal -1/2 binary64)))
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eval69.0ms (0.2%)

Memory: -28.0MiB live, 207.3MiB allocated
Compiler: Compiled 20 297 to 1 668 computations (91.8% saved)

prune82.0ms (0.2%)

Memory

4.5MiB live, 256.0MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	533	12	545
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	534	12	546

Accuracy

100.0%

Counts

546 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.4%	(/.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t)))))) (fma.f64 x #s(literal 1/2 binary64) y))
	99.8%	(/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))))
▶	99.9%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))
	69.4%	(.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
	94.3%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
▶	90.9%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
▶	82.3%	(.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 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
▶	59.6%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
▶	93.3%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (.f64 t t) (.f64 (sqrt.f64 z) (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))))) (.f64 (sqrt.f64 z) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))))
	84.2%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 z) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))
	59.5%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))

Compiler

Compiled 614 to 406 computations (33.9% saved)

simplify329.0ms (0.9%)

Memory

26.8MiB live, 616.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (sqrt.f64 z) (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))))
✓	cost-diff	0	(*.f64 t t)
✓	cost-diff	0	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (.f64 t t) (.f64 (sqrt.f64 z) (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))))) (.f64 (sqrt.f64 z) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))))
✓	cost-diff	2752	(fma.f64 (.f64 t t) (.f64 (sqrt.f64 z) (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))))) (.f64 (sqrt.f64 z) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
✓	cost-diff	0	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	cost-diff	0	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
✓	cost-diff	0	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	cost-diff	0	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
✓	cost-diff	0	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	cost-diff	0	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
✓	cost-diff	0	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t)))))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
✓	cost-diff	0	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))

Rules

10 260×	`lower-fma.f32`
10 250×	`lower-fma.f64`
6 664×	`lower-*.f32`
6 628×	`lower-*.f64`
2 998×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	537
0	87	530
1	172	530
2	478	522
3	2324	506
4	3112	506
5	4478	506
0	8303	504

Stop Event

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

Calls

Call 1

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

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

localize185.0ms (0.5%)

Memory

-12.1MiB live, 422.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	97.5%	(.f64 (sqrt.f64 z) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
✓	accuracy	97.0%	(.f64 (sqrt.f64 z) (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))))
✓	accuracy	93.7%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (.f64 t t) (.f64 (sqrt.f64 z) (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))))) (.f64 (sqrt.f64 z) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))))
✓	accuracy	87.7%	(.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))))
✓	accuracy	100.0%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
✓	accuracy	99.9%	(fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	99.7%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	accuracy	86.2%	#s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	accuracy	100.0%	(.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 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
✓	accuracy	99.7%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	accuracy	71.4%	#s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
✓	accuracy	100.0%	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	accuracy	100.0%	(.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)))
✓	accuracy	99.7%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	accuracy	52.7%	#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
✓	accuracy	100.0%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t)))))
✓	accuracy	100.0%	(exp.f64 (*.f64 t t))
✓	accuracy	100.0%	(.f64 z (exp.f64 (.f64 t t)))
✓	accuracy	99.9%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))

Samples

91.0ms

256×

valid

Compiler

Compiled 466 to 46 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 36.0ms (59.2% of total)

ival-sqrt: 6.0ms (9.9% of total)

ival-add: 5.0ms (8.2% of total)

ival-exp: 4.0ms (6.6% of total)

const: 4.0ms (6.6% of total)

ival-sub: 3.0ms (4.9% of total)

ival-div: 2.0ms (3.3% of total)

exact: 1.0ms (1.6% of total)

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

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

series161.0ms (0.5%)

Memory

-9.2MiB live, 63.6MiB allocated

Counts

21 → 624

Calls

Call 1

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

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

Calls

156 calls:

Time	Variable		Point	Expression
20.0ms	z	@	-inf	(+ (* (* t t) (* (sqrt z) (* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* (* t t) 1/48) 1/8))))) (* (sqrt z) (* (+ (* 1/2 (* t t)) 1) (* (sqrt 2) (- (* 1/2 x) y)))))
7.0ms	y	@	-inf	(+ (* (* t t) (* (sqrt z) (* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* (* t t) 1/48) 1/8))))) (* (sqrt z) (* (+ (* 1/2 (* t t)) 1) (* (sqrt 2) (- (* 1/2 x) y)))))
3.0ms	t	@	0	(* (- (* x 1/2) y) (sqrt (* 2 (* z (exp (* t t))))))
2.0ms	z	@	0	(+ (* (* t t) (* (sqrt z) (* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* (* t t) 1/48) 1/8))))) (* (sqrt z) (* (+ (* 1/2 (* t t)) 1) (* (sqrt 2) (- (* 1/2 x) y)))))
2.0ms	x	@	0	(+ (* (* t t) (* (sqrt z) (* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* (* t t) 1/48) 1/8))))) (* (sqrt z) (* (+ (* 1/2 (* t t)) 1) (* (sqrt 2) (- (* 1/2 x) y)))))

simplify521.0ms (1.5%)

Memory

39.9MiB live, 598.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12 954×	`lower-fma.f64`
12 954×	`lower-fma.f32`
6 254×	`lower-+.f64`
6 254×	`lower-+.f32`
5 514×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	449	14452
1	1628	13770
2	3827	13247
0	8150	12756

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 623

Calls

Call 1

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

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

rewrite425.0ms (1.2%)

Memory

-16.7MiB live, 493.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 940×	`lower-fma.f32`
5 930×	`lower-fma.f64`
4 544×	`lower-*.f32`
4 508×	`lower-*.f64`
3 636×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	346
0	87	339
1	275	335
2	1692	335
0	8459	335

Stop Event

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

Counts

21 → 401

Calls

Call 1

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

Outputs
(+.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (.f64 x #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))) (neg.f64 y)))
(+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (.f64 (neg.f64 y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t)))))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (.f64 (neg.f64 y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))))
(fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (neg.f64 y)))
(/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))))
(/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y)))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (*.f64 y y))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t)))))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))))) (neg.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (*.f64 y y)))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))))) (neg.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (.f64 x #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (.f64 x #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (neg.f64 y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (neg.f64 y))) (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (.f64 x #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (neg.f64 y))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (-.f64 (.f64 (.f64 (neg.f64 y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (.f64 (neg.f64 y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))))) (.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (.f64 (neg.f64 y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))))))))
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (.f64 x #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (neg.f64 y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (neg.f64 y)))) (-.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (.f64 x #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))) (neg.f64 y))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))))) (.f64 (.f64 (neg.f64 y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (.f64 (neg.f64 y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))))) (-.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (.f64 (neg.f64 y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))))
(.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (.f64 z (exp.f64 (*.f64 t t)))))
(.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (.f64 x x)))))
(.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
(.f64 (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (.f64 x x)))))
(.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 y))
(+.f64 (neg.f64 y) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 x #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(-.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y)))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (neg.f64 y))) (/.f64 (.f64 y y) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 y))))
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))
(fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y))))
(fma.f64 #s(literal -1 binary64) y (*.f64 x #s(literal 1/2 binary64)))
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eval289.0ms (0.8%)

Memory: -4.2MiB live, 390.6MiB allocated
Compiler: Compiled 56 623 to 2 221 computations (96.1% saved)

prune300.0ms (0.9%)

Memory

29.1MiB live, 427.5MiB allocated

Pruning

42 alts after pruning (41 fresh and 1 done)

	Pruned	Kept	Total
New	1 540	38	1 578
Fresh	4	3	7
Picked	4	1	5
Done	0	0	0
Total	1 548	42	1 590

Accuracy

100.0%

Counts

1 590 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.1%	(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y))
▶	59.3%	(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y))
	49.3%	(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
	59.6%	(/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
▶	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))))
	90.9%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
	82.7%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))
	93.4%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z #s(approx (exp (* t t)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
▶	90.4%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z #s(approx (exp (* t t)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
	82.2%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64)))))))
	59.5%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (sqrt (* 2 (* z (exp (* t t))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
	90.7%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	90.9%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) t #s(literal 1 binary64))))
	94.3%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	59.5%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (/.f64 (fma.f64 (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 t t) (.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
✓	59.6%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	49.3%	(.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
	90.8%	(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	59.2%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
▶	55.6%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	58.7%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	50.6%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
	33.2%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	52.6%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	46.9%	(.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)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
▶	30.7%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	91.2%	(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
	84.4%	(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 #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)))
	67.0%	(.f64 #s(approx (- ( x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))))
	60.4%	(.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))
	56.9%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (fma.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) x) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 x))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	52.5%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	46.8%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
	30.7%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	58.6%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 z)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	50.5%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 z)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
	59.5%	#s(approx (* (- (* x 1/2) y) (sqrt (* 2 (* z (exp (* t t)))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 z)))
	93.5%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 t (.f64 (.f64 t (sqrt.f64 z)) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (.f64 (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) (*.f64 t t)))))))
	93.5%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (.f64 (.f64 (.f64 t t) (sqrt.f64 z)) t) (.f64 t (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))))) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))
	93.3%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (.f64 t t) (.f64 (sqrt.f64 z) (.f64 (.f64 t (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))))) t)) (.f64 (sqrt.f64 z) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))))
	93.0%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (.f64 t t) (.f64 (sqrt.f64 z) (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))))) #s(approx (* (sqrt z) (* (+ (* 1/2 (* t t)) 1) (* (sqrt 2) (- (* 1/2 x) y)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 z)))))
	59.5%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))

Compiler

Compiled 2 175 to 1 407 computations (35.3% saved)

simplify337.0ms (1%)

Memory

-14.3MiB live, 356.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 #s(literal 1/4 binary64) (.f64 x x))
✓	cost-diff	0	(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (*.f64 y y))
✓	cost-diff	0	(.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))
✓	cost-diff	0	(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y))
✓	cost-diff	0	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z #s(approx (exp (* t t)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
✓	cost-diff	0	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z #s(approx (exp (* t t)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
✓	cost-diff	0	#s(approx (- (* x 1/2) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))
✓	cost-diff	0	(.f64 #s(approx (- ( x 1/2) y) (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
✓	cost-diff	0	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
✓	cost-diff	704	(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))
✓	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 (*.f64 x #s(literal 1/2 binary64)) y)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))))
✓	cost-diff	1280	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))))

Rules

9 988×	`lower-fma.f32`
9 980×	`lower-fma.f64`
5 066×	`lower-*.f32`
5 028×	`lower-*.f64`
1 792×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	523
0	98	513
1	166	509
2	296	509
3	607	509
4	1179	503
5	2158	503
6	3801	503
7	6041	503
0	8152	489

Stop Event

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

Calls

Call 1

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

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

localize176.0ms (0.5%)

Memory

10.8MiB live, 281.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	#s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
✓	accuracy	98.1%	(.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))
✓	accuracy	96.3%	(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (*.f64 y y))
✓	accuracy	81.2%	(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y))
✓	accuracy	100.0%	(fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(.f64 z #s(approx (exp ( t t)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
✓	accuracy	99.9%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z #s(approx (exp (* t t)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
✓	accuracy	99.5%	#s(approx (exp (* t t)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
✓	accuracy	99.9%	(.f64 #s(approx (- ( x 1/2) y) (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
✓	accuracy	99.3%	#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
✓	accuracy	91.9%	(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))
✓	accuracy	100.0%	(.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)))
✓	accuracy	99.9%	(.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	accuracy	99.3%	#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
✓	accuracy	73.4%	#s(approx (- (* x 1/2) y) (neg.f64 y))
✓	accuracy	100.0%	(.f64 z (exp.f64 (.f64 t t)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))))

Samples

47.0ms	133×	0	valid
45.0ms	123×	0	exit

Compiler

Compiled 402 to 47 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 30.0ms (51.7% of total)

ival-div: 9.0ms (15.5% of total)

ival-sqrt: 5.0ms (8.6% of total)

ival-add: 4.0ms (6.9% of total)

ival-exp: 4.0ms (6.9% of total)

ival-sub: 4.0ms (6.9% of total)

exact: 1.0ms (1.7% of total)

ival-neg: 1.0ms (1.7% of total)

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

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

series73.0ms (0.2%)

Memory

-14.0MiB live, 58.4MiB allocated

Counts

25 → 708

Calls

Call 1

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

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

177 calls:

Time	Variable		Point	Expression
2.0ms	t	@	0	(* (- (* 1/4 (* x x)) (* y y)) (* (sqrt (* 2 z)) (exp (/ (* t t) 2))))
2.0ms	z	@	0	(/ (* (- (* 1/4 (* x x)) (* y y)) (* (sqrt (* 2 z)) (exp (/ (* t t) 2)))) (+ (* x 1/2) y))
2.0ms	t	@	inf	(/ (* (- (* 1/4 (* x x)) (* y y)) (* (sqrt (* 2 z)) (exp (/ (* t t) 2)))) (+ (* x 1/2) y))
1.0ms	z	@	-inf	(/ (* (- (* 1/4 (* x x)) (* y y)) (* (sqrt (* 2 z)) (exp (/ (* t t) 2)))) (+ (* x 1/2) y))
1.0ms	x	@	inf	(/ (* (- (* 1/4 (* x x)) (* y y)) (* (sqrt (* 2 z)) (exp (/ (* t t) 2)))) (+ (* x 1/2) y))

simplify428.0ms (1.2%)

Memory

46.8MiB live, 630.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 412×	`lower-fma.f64`
9 412×	`lower-fma.f32`
8 450×	`lower-*.f64`
8 450×	`lower-*.f32`
2 376×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	646	13862
1	2054	11873
2	6953	11364
0	8057	11120

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 706

Calls

Call 1

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

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

rewrite516.0ms (1.5%)

Memory

-6.0MiB live, 627.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 036×	`lower-*.f32`
4 998×	`lower-*.f64`
4 610×	`lower-/.f32`
4 600×	`lower-/.f64`
3 976×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	356
0	98	350
1	298	336
2	1753	336
0	8130	326

Stop Event

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

Counts

25 → 586

Calls

Call 1

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

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

eval297.0ms (0.8%)

Memory: 0.4MiB live, 407.8MiB allocated
Compiler: Compiled 41 724 to 2 866 computations (93.1% saved)

prune261.0ms (0.7%)

Memory

12.9MiB live, 529.0MiB allocated

Pruning

47 alts after pruning (44 fresh and 3 done)

	Pruned	Kept	Total
New	1 419	17	1 436
Fresh	9	27	36
Picked	3	2	5
Done	0	1	1
Total	1 431	47	1 478

Accuracy

100.0%

Counts

1 478 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.1%	(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y))
	49.3%	(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
	59.6%	(/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
	30.7%	(/.f64 (.f64 #s(approx (- ( 1/4 (* x x)) (* y y)) (.f64 y (neg.f64 y))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ ( t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y))
▶	82.0%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (* z (exp (* t t))) (fma.f64 z (*.f64 t t) z))))))
	59.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ (/ 1 (- (* x 1/2) y)) (sqrt (* 2 (* z (exp (* t t)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))))
	90.9%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
▶	82.7%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))
	93.4%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z #s(approx (exp (* t t)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
	82.2%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64)))))))
	59.8%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z #s(approx (exp (* t t)) (/.f64 (fma.f64 (.f64 t t) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 t t) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)))) #s(literal -1 binary64)) (fma.f64 (.f64 t t) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) #s(literal -1 binary64))))))))
	59.5%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (sqrt (* 2 (* z (exp (* t t))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
	29.5%	(.f64 (.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (fma.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z #s(approx (exp (* t t)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
▶	90.9%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) t #s(literal 1 binary64))))
▶	94.3%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
✓	59.6%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	49.3%	(.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
	30.7%	(.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)))
	30.7%	(.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)))
	43.9%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 y y) (.f64 x x))) x) (+.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	29.3%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))) x) (fma.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1/4 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	28.5%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (.f64 y (neg.f64 y)) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	59.2%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	86.5%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
✓	55.6%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	58.7%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	50.6%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
▶	33.2%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	52.6%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	55.2%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	46.9%	(.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)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
✓	30.7%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	91.2%	(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
	84.4%	(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 #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)))
	67.0%	(.f64 #s(approx (- ( x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))))
	59.5%	(.f64 #s(approx (- ( x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z #s(approx (exp ( t t)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
	60.4%	(.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))
	52.5%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	46.8%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
	58.6%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 z)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	50.5%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 z)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
	59.5%	#s(approx (/ 1 (/ (/ 1 (- (* x 1/2) y)) (sqrt (* 2 (* z (exp (* t t))))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 z))))
	59.5%	#s(approx (* (- (* x 1/2) y) (sqrt (* 2 (* z (exp (* t t)))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 z)))
	93.5%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 t (.f64 (.f64 t (sqrt.f64 z)) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (.f64 (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) (*.f64 t t)))))))
	93.5%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (.f64 (.f64 (.f64 t t) (sqrt.f64 z)) t) (.f64 t (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))))) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))
	93.3%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (.f64 t t) (.f64 (sqrt.f64 z) (.f64 (.f64 t (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))))) t)) (.f64 (sqrt.f64 z) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))))
	93.0%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (.f64 t t) (.f64 (sqrt.f64 z) (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))))) #s(approx (* (sqrt z) (* (+ (* 1/2 (* t t)) 1) (* (sqrt 2) (- (* 1/2 x) y)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 z)))))

Compiler

Compiled 2 462 to 1 566 computations (36.4% saved)

simplify1.1s (3.1%)

Memory

-38.4MiB live, 1 046.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (* z (exp (* t t))) (fma.f64 z (*.f64 t t) z)))))
✓	cost-diff	1280	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (* z (exp (* t t))) (fma.f64 z (*.f64 t t) 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 (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) t #s(literal 1 binary64))))
✓	cost-diff	0	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 #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) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	#s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x))
✓	cost-diff	0	(.f64 #s(approx (- ( x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
✓	cost-diff	0	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
✓	cost-diff	0	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	cost-diff	0	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))

Rules

35 142×	`lower-fma.f32`
35 128×	`lower-fma.f64`
3 460×	`lower-+.f64`
3 460×	`lower-+.f32`
3 230×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	515
0	88	506
1	167	502
2	326	502
3	704	502
4	1400	502
5	1824	502
6	2526	502
7	3749	502
8	4616	502
9	5290	502
10	5709	502
11	5957	502
12	5990	502
13	5993	502
14	6106	502
15	6156	502
16	6191	502
17	6258	502
18	6302	502
19	6338	502
20	6338	502
21	7824	502
0	8500	500

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

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

localize277.0ms (0.8%)

Memory

26.0MiB live, 260.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (* z (exp (* t t))) (fma.f64 z (*.f64 t t) z)))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (* z (exp (* t t))) (fma.f64 z (*.f64 t t) z))))))
✓	accuracy	99.4%	#s(approx (* z (exp (* t t))) (fma.f64 z (*.f64 t t) z))
✓	accuracy	100.0%	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	accuracy	100.0%	(.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 (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) t #s(literal 1 binary64))))
✓	accuracy	99.9%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	accuracy	99.5%	#s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) t #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) z)
✓	accuracy	100.0%	(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
✓	accuracy	99.9%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))
✓	accuracy	99.4%	#s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
✓	accuracy	99.9%	(.f64 #s(approx (- ( x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
✓	accuracy	99.3%	#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
✓	accuracy	75.2%	#s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x))
✓	accuracy	100.0%	(fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
✓	accuracy	99.9%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	accuracy	99.6%	#s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

Samples

148.0ms	133×	0	valid
40.0ms	123×	0	exit

Compiler

Compiled 399 to 48 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 159.0ms

ival-div: 110.0ms (69.2% of total)

ival-mult: 27.0ms (17% of total)

ival-add: 8.0ms (5% of total)

ival-sqrt: 5.0ms (3.1% of total)

ival-exp: 4.0ms (2.5% of total)

const: 4.0ms (2.5% of total)

ival-sub: 1.0ms (0.6% of total)

exact: 1.0ms (0.6% of total)

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

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

series100.0ms (0.3%)

Memory

5.8MiB live, 43.6MiB allocated

Counts

23 → 600

Calls

Call 1

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

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

Calls

150 calls:

Time	Variable		Point	Expression
70.0ms	z	@	inf	(* (sqrt (* 2 z)) (exp (/ (* t t) 2)))
13.0ms	z	@	0	(* (sqrt (* 2 z)) (exp (/ (* t t) 2)))
1.0ms	z	@	-inf	(* (sqrt (* 2 z)) (exp (/ (* t t) 2)))
0.0ms	t	@	inf	(* (sqrt (* 2 z)) (exp (/ (* t t) 2)))
0.0ms	t	@	0	(* (sqrt (* 2 z)) (exp (/ (* t t) 2)))

simplify501.0ms (1.4%)

Memory

-17.6MiB live, 631.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 120×	`lower-fma.f64`
9 120×	`lower-fma.f32`
8 192×	`lower-*.f64`
8 192×	`lower-*.f32`
3 054×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	559	11796
1	1754	9884
2	5909	9394
0	8712	9210

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 599

Calls

Call 1

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

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

rewrite415.0ms (1.2%)

Memory

15.7MiB live, 636.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 288×	`lower-fma.f32`
5 274×	`lower-fma.f64`
4 424×	`lower-*.f32`
4 394×	`lower-*.f64`
4 194×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	326
0	88	317
1	300	312
2	1908	312
0	8520	312

Stop Event

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

Counts

23 → 403

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

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

eval202.0ms (0.6%)

Memory: 37.2MiB live, 502.6MiB allocated
Compiler: Compiled 40 636 to 2 194 computations (94.6% saved)

prune226.0ms (0.6%)

Memory

-22.7MiB live, 564.4MiB allocated

Pruning

54 alts after pruning (50 fresh and 4 done)

	Pruned	Kept	Total
New	1 394	22	1 416
Fresh	11	28	39
Picked	4	1	5
Done	0	3	3
Total	1 409	54	1 463

Accuracy

100.0%

Counts

1 463 → 54

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.2%	(/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (* z (exp (* t t))) (fma.f64 z (*.f64 t t) z))))))
	64.1%	(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y))
	31.7%	(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))
	59.6%	(/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
	30.7%	(/.f64 (.f64 #s(approx (- ( 1/4 (* x x)) (* y y)) (.f64 y (neg.f64 y))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ ( t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y))
	48.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal -1 binary64) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx ( z (exp (* t t))) (fma.f64 z (*.f64 t t) z))))))
	94.3%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
	90.9%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
	93.4%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z #s(approx (exp (* t t)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
	82.2%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64)))))))
	59.8%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z #s(approx (exp (* t t)) (/.f64 (fma.f64 (.f64 t t) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 t t) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)))) #s(literal -1 binary64)) (fma.f64 (.f64 t t) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) #s(literal -1 binary64))))))))
	59.5%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (* (sqrt (* 2 z)) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
	29.5%	(.f64 (.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (fma.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z #s(approx (exp (* t t)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
	94.3%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) t #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	61.0%	(.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) (.f64 (fma.f64 (.f64 t t) (.f64 (.f64 t (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) (.f64 t (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
✓	59.6%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	84.4%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
	49.3%	(.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
	30.7%	(.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)))
	30.7%	(.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)))
	43.9%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 y y) (.f64 x x))) x) (+.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	29.3%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))) x) (fma.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1/4 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	28.5%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (.f64 y (neg.f64 y)) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	59.2%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
✓	55.6%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	58.7%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) t #s(literal 1 binary64))))
	61.0%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	58.7%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	50.6%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
✓	33.2%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	52.6%	(.f64 (.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 (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) t #s(literal 1 binary64))))
	55.2%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	52.6%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	46.9%	(.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)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
✓	30.7%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	91.2%	(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
	94.3%	(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
	52.1%	(.f64 #s(approx (- ( x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ ( t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))
	59.5%	(.f64 #s(approx (- ( x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z #s(approx (exp ( t t)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
	48.0%	(.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))
	60.4%	(.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))
	52.5%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) t #s(literal 1 binary64))))
	55.1%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	30.7%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	52.5%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	46.8%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
	58.7%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) t #s(literal 1 binary64))))
	58.6%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 z)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	50.5%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 z)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
	59.5%	#s(approx (/ 1 (/ (/ 1 (- (* x 1/2) y)) (sqrt (* 2 (* z (exp (* t t))))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 z))))
	59.5%	#s(approx (* (- (* x 1/2) y) (sqrt (* 2 (* z (exp (* t t)))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 z)))
	93.5%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 t (.f64 (.f64 t (sqrt.f64 z)) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (.f64 (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) (*.f64 t t)))))))
	93.3%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (.f64 t t) (.f64 (sqrt.f64 z) (.f64 (.f64 t (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))))) t)) (.f64 (sqrt.f64 z) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))))
	93.0%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (.f64 t t) (.f64 (sqrt.f64 z) (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))))) #s(approx (* (sqrt z) (* (+ (* 1/2 (* t t)) 1) (* (sqrt 2) (- (* 1/2 x) y)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 z)))))

Compiler

Compiled 3 572 to 1 240 computations (65.3% saved)

regimes397.0ms (1.1%)

Memory

7.8MiB live, 552.4MiB allocated

Counts

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

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

Calls

13 calls:

49.0ms	x
48.0ms	(/.f64 (*.f64 t t) #s(literal 2 binary64))
41.0ms	(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
27.0ms	y
27.0ms	t

Results

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

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes652.0ms (1.9%)

Memory

-6.6MiB live, 286.7MiB allocated

Counts

84 → 3

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 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 #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 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
#s(approx (* (- (* x 1/2) y) (sqrt (* 2 (* z (exp (* t t)))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 z)))
#s(approx (/ 1 (/ (/ 1 (- (* x 1/2) y)) (sqrt (* 2 (* z (exp (* t t))))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 z))))
(.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #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 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (sqrt (* 2 (* z (exp (* t t))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (* (sqrt (* 2 z)) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64)))))))
(.f64 #s(approx (- ( x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ ( t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 #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 #s(approx (- (* x 1/2) y) (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (.f64 y (neg.f64 y)) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) t #s(literal 1 binary64))))
(/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 z)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(.f64 #s(approx (- ( x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z #s(approx (exp ( t t)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) t #s(literal 1 binary64))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 z) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) t #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z #s(approx (exp (* t t)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (* z (exp (* t t))) (fma.f64 z (*.f64 t t) z))))))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) t #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (- (* x 1/2) y)) (/.f64 #s(literal -1 binary64) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx ( z (exp (* t t))) (fma.f64 z (*.f64 t t) z))))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 #s(approx (- ( 1/4 (* x x)) (* y y)) (.f64 y (neg.f64 y))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ ( t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 z)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 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 (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) t #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) t #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z #s(approx (exp (* t t)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ 1 (- (* x 1/2) y)) (sqrt (* 2 (* z (exp (* t t)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (* z (exp (* t t))) (fma.f64 z (*.f64 t t) z))))))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 y y) (.f64 x x))) x) (+.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (fma.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) x) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 x))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))) x) (fma.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1/4 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (.f64 t t) (.f64 (sqrt.f64 z) (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))))) #s(approx (* (sqrt z) (* (+ (* 1/2 (* t t)) 1) (* (sqrt 2) (- (* 1/2 x) y)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 z)))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (/.f64 (fma.f64 (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 t t) (.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z #s(approx (exp (* t t)) (/.f64 (fma.f64 (.f64 t t) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 t t) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)))) #s(literal -1 binary64)) (fma.f64 (.f64 t t) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) #s(literal -1 binary64))))))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (.f64 (.f64 (.f64 t t) (sqrt.f64 z)) t) (.f64 t (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))))) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 t (.f64 (.f64 t (sqrt.f64 z)) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (.f64 (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) (*.f64 t t)))))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (.f64 t t) (.f64 (sqrt.f64 z) (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))))) (.f64 (sqrt.f64 z) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (.f64 t t) (.f64 (sqrt.f64 z) (.f64 (.f64 t (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))))) t)) (.f64 (sqrt.f64 z) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))))
(.f64 (.f64 (-.f64 (.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) (.f64 (fma.f64 (.f64 t t) (.f64 (.f64 t (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) (.f64 t (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(.f64 (.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (fma.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z #s(approx (exp (* t t)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))
(.f64 #s(approx (- ( x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))))

Outputs

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

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

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

Calls

13 calls:

157.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
80.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
61.0ms	t
60.0ms	(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
56.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)

Results

Accuracy	Segments	Branch
94.3%	1	`x`
94.3%	1	`y`
94.3%	1	`z`
98.0%	3	`t`
94.3%	1	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
94.3%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
94.3%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
94.3%	1	`(*.f64 x #s(literal 1/2 binary64))`
94.3%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
94.3%	1	`(*.f64 z #s(literal 2 binary64))`
94.3%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
98.0%	3	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
98.0%	3	`(*.f64 t t)`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes269.0ms (0.8%)

Memory

-12.7MiB live, 178.9MiB allocated

Counts

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

Outputs

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

Calls

5 calls:

67.0ms	(*.f64 x #s(literal 1/2 binary64))
50.0ms	x
48.0ms	t
36.0ms	(/.f64 (*.f64 t t) #s(literal 2 binary64))
20.0ms	(*.f64 t t)

Results

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

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes353.0ms (1%)

Memory

4.9MiB live, 367.2MiB allocated

Counts

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

Outputs

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

Calls

13 calls:

48.0ms	(*.f64 x #s(literal 1/2 binary64))
46.0ms	(*.f64 z #s(literal 2 binary64))
45.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
41.0ms	(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
31.0ms	t

Results

Accuracy	Segments	Branch
91.2%	1	`t`
91.2%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
91.2%	1	`(*.f64 t t)`
91.2%	1	`y`
91.2%	1	`z`
91.2%	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))))`
91.2%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
91.2%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
91.2%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
91.2%	1	`(*.f64 z #s(literal 2 binary64))`
91.2%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
91.2%	1	`x`
91.2%	1	`(*.f64 x #s(literal 1/2 binary64))`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes171.0ms (0.5%)

Memory

34.9MiB live, 336.8MiB allocated

Counts

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

Outputs

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

Calls

13 calls:

28.0ms	(*.f64 t t)
18.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
16.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
12.0ms	(*.f64 x #s(literal 1/2 binary64))
12.0ms	x

Results

Accuracy	Segments	Branch
86.3%	2	`z`
84.4%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
86.3%	2	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
86.3%	2	`(*.f64 z #s(literal 2 binary64))`
84.4%	1	`x`
84.4%	1	`y`
84.4%	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))))`
84.4%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
84.4%	1	`(*.f64 x #s(literal 1/2 binary64))`
84.4%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
84.4%	1	`t`
84.4%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
84.4%	1	`(*.f64 t t)`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes100.0ms (0.3%)

Memory

-22.9MiB live, 208.1MiB allocated

Counts

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

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

Calls

13 calls:

22.0ms	(/.f64 (*.f64 t t) #s(literal 2 binary64))
8.0ms	t
8.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
7.0ms	z
7.0ms	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
82.2%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
82.2%	1	`x`
82.2%	1	`t`
82.2%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
82.2%	1	`(*.f64 x #s(literal 1/2 binary64))`
82.2%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
82.2%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
82.2%	1	`(*.f64 t t)`
82.2%	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))))`
82.2%	1	`y`
82.2%	1	`z`
82.2%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
82.2%	1	`(*.f64 z #s(literal 2 binary64))`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes74.0ms (0.2%)

Memory

40.8MiB live, 192.5MiB allocated

Counts

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

Outputs

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

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

Calls

13 calls:

10.0ms	(/.f64 (*.f64 t t) #s(literal 2 binary64))
7.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
7.0ms	(*.f64 x #s(literal 1/2 binary64))
7.0ms	x
5.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
69.0%	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))))`
72.5%	2	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
64.4%	3	`x`
59.6%	1	`z`
72.6%	2	`t`
64.4%	3	`(*.f64 x #s(literal 1/2 binary64))`
59.6%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
59.6%	1	`(*.f64 z #s(literal 2 binary64))`
72.6%	2	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
72.6%	2	`(*.f64 t t)`
59.6%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
67.2%	3	`y`
63.4%	3	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes351.0ms (1%)

Memory

-78.2MiB live, 139.4MiB allocated

Counts

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

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

Calls

9 calls:

11.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
10.0ms	y
8.0ms	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
7.0ms	(*.f64 x #s(literal 1/2 binary64))
7.0ms	x

Results

Accuracy	Segments	Branch
59.6%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
59.6%	1	`x`
59.6%	1	`(*.f64 x #s(literal 1/2 binary64))`
59.6%	1	`y`
59.6%	1	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
59.6%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
59.6%	1	`t`
59.6%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
59.6%	1	`(*.f64 t t)`

Compiler

Compiled 83 to 64 computations (22.9% saved)

regimes59.0ms (0.2%)

Memory

30.0MiB live, 137.7MiB allocated

Counts

2 → 3

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

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)))

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

(*.f64 (*.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:

8.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
5.0ms	(*.f64 t t)
3.0ms	(*.f64 x #s(literal 1/2 binary64))
3.0ms	(*.f64 z #s(literal 2 binary64))
3.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
51.9%	3	`y`
38.3%	3	`t`
38.3%	3	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
38.3%	3	`(*.f64 t t)`
36.4%	3	`z`
38.3%	2	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
36.4%	3	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
36.4%	3	`(*.f64 z #s(literal 2 binary64))`
33.2%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
46.7%	3	`x`
46.7%	3	`(*.f64 x #s(literal 1/2 binary64))`
42.9%	4	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
42.8%	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 112 to 88 computations (21.4% saved)

regimes52.0ms (0.1%)

Memory

-17.4MiB live, 106.6MiB 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:

18.0ms	(*.f64 z #s(literal 2 binary64))
5.0ms	y
4.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
3.0ms	(*.f64 x #s(literal 1/2 binary64))
3.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
30.7%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
30.7%	1	`z`
30.7%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
30.7%	1	`(*.f64 z #s(literal 2 binary64))`
30.7%	1	`t`
30.7%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
30.7%	1	`(*.f64 t t)`
30.7%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
30.7%	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))))`
30.7%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
30.7%	1	`x`
30.7%	1	`(*.f64 x #s(literal 1/2 binary64))`
30.7%	1	`y`

Compiler

Compiled 112 to 88 computations (21.4% saved)

bsearch1.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.456310769875254e+64	2.5558434782512088e+64
0.0ms	4.358882159171554e-12	0.0021052097164596458

Compiler

Compiled 24 to 22 computations (8.3% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2674566118266946e+82	1.0671269859861223e+83

Compiler

Compiled 24 to 23 computations (4.2% saved)

bsearch27.0ms (0.1%)

Memory

-7.7MiB live, 71.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	5.126035426176862e+103	1.2248677879690623e+106

Samples

16.0ms

112×

valid

Compiler

Compiled 283 to 218 computations (23% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 6.0ms (55.7% of total)

ival-sub: 1.0ms (9.3% of total)

ival-div: 1.0ms (9.3% of total)

ival-exp: 1.0ms (9.3% of total)

ival-sqrt: 1.0ms (9.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch56.0ms (0.2%)

Memory

2.7MiB live, 162.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	1.5340202781412131e+53	1.3452409705963182e+57
29.0ms	-6.074433635759609	-0.0015978708940726934

Samples

36.0ms

256×

valid

Compiler

Compiled 552 to 422 computations (23.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 13.0ms (54.4% of total)

ival-div: 3.0ms (12.6% of total)

ival-exp: 3.0ms (12.6% of total)

ival-sqrt: 3.0ms (12.6% of total)

ival-sub: 2.0ms (8.4% of total)

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

exact: 0.0ms (0% of total)

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

simplify12.0ms (0%)

Memory

-0.2MiB live, 39.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	400
1	121	400
2	124	400
3	125	400

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))
(if (<=.f64 (.f64 t t) #s(literal 6189700196426901/1237940039285380274899124224 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z #s(approx (exp ( t t)) (fma.f64 t t #s(literal 1 binary64))))))) (if (<=.f64 (.f64 t t) #s(literal 20000000000000000426408380189087937446025157425359298935486676992 binary64)) (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (.f64 (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(if (<=.f64 (.f64 z #s(literal 2 binary64)) #s(literal 19999999999999999268135931261773148422054286450547135587360727686854173003085774848 binary64)) (.f64 (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 #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 #s(literal 2 binary64) (.f64 z #s(approx (exp ( t t)) (fma.f64 t t #s(literal 1 binary64))))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64)))))))
(if (<=.f64 (.f64 t t) #s(literal 299999999999999968746015395494055522920322656783023836916647403349559881071502105626163034730318062944256 binary64)) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64))) (.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -3152519739159347/1125899906842624 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))) (if (<=.f64 y #s(literal 440000000000000031726018842654839582907361672495745728512 binary64)) (.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #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)) #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)) #s(literal 1 binary64)))

Outputs
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))
(if (<=.f64 (.f64 t t) #s(literal 6189700196426901/1237940039285380274899124224 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z #s(approx (exp ( t t)) (fma.f64 t t #s(literal 1 binary64))))))) (if (<=.f64 (.f64 t t) #s(literal 20000000000000000426408380189087937446025157425359298935486676992 binary64)) (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (.f64 (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(if (<=.f64 (.f64 t t) #s(literal 6189700196426901/1237940039285380274899124224 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z #s(approx (exp ( t t)) (fma.f64 t t #s(literal 1 binary64))))))) (if (<=.f64 (.f64 t t) #s(literal 20000000000000000426408380189087937446025157425359298935486676992 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) #s(approx (- ( x 1/2) y) (neg.f64 y))) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 z #s(literal 2 binary64)) #s(literal 19999999999999999268135931261773148422054286450547135587360727686854173003085774848 binary64)) (.f64 (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 #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 #s(literal 2 binary64) (.f64 z #s(approx (exp ( t t)) (fma.f64 t t #s(literal 1 binary64))))))))
(if (<=.f64 (.f64 #s(literal 2 binary64) z) #s(literal 19999999999999999268135931261773148422054286450547135587360727686854173003085774848 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ ( t t) 2)) (fma.f64 #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 #s(literal 2 binary64) (.f64 z #s(approx (exp ( t t)) (fma.f64 t t #s(literal 1 binary64))))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64)))))))
(if (<=.f64 (.f64 t t) #s(literal 299999999999999968746015395494055522920322656783023836916647403349559881071502105626163034730318062944256 binary64)) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64))) (.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 t t) #s(literal 299999999999999968746015395494055522920322656783023836916647403349559881071502105626163034730318062944256 binary64)) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64))) (.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 #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)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -3152519739159347/1125899906842624 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))) (if (<=.f64 y #s(literal 440000000000000031726018842654839582907361672495745728512 binary64)) (.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #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)) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -3152519739159347/1125899906842624 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)))) (if (<=.f64 y #s(literal 440000000000000031726018842654839582907361672495745728512 binary64)) (.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 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))))))
(.f64 (.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))))

soundness1.3s (3.8%)

Memory

-45.3MiB live, 1 066.2MiB allocated

Rules

18 894×	`lower-fma.f64`
18 894×	`lower-fma.f32`
12 954×	`lower-fma.f64`
12 954×	`lower-fma.f32`
9 120×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	326
0	88	317
1	300	312
2	1908	312
0	8520	312
0	52	346
0	87	339
1	275	335
2	1692	335
0	8459	335
0	449	14452
1	1628	13770
2	3827	13247
0	8150	12756
0	136	2087
1	454	1608
2	1580	1515
3	4468	1512
0	8848	1500
0	15	42
0	24	40
1	63	39
2	285	39
3	2343	39
0	8616	39
0	559	11796
1	1754	9884
2	5909	9394
0	8712	9210

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

Compiler

Compiled 1 074 to 522 computations (51.4% saved)

preprocess163.0ms (0.5%)

Memory: 20.9MiB live, 137.1MiB allocated
Remove: (abs t)
Compiler: Compiled 870 to 338 computations (61.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze106.0ms (0.3%)

sample21.0s (60.2%)

preprocess151.0ms (0.4%)

explain465.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify93.0ms (0.3%)

localize93.0ms (0.3%)

series27.0ms (0.1%)

simplify1.3s (3.9%)

rewrite347.0ms (1%)

eval69.0ms (0.2%)

prune82.0ms (0.2%)

simplify329.0ms (0.9%)

localize185.0ms (0.5%)

series161.0ms (0.5%)

simplify521.0ms (1.5%)

rewrite425.0ms (1.2%)

eval289.0ms (0.8%)

prune300.0ms (0.9%)

simplify337.0ms (1%)

localize176.0ms (0.5%)

series73.0ms (0.2%)

simplify428.0ms (1.2%)

rewrite516.0ms (1.5%)

eval297.0ms (0.8%)

prune261.0ms (0.7%)

simplify1.1s (3.1%)

localize277.0ms (0.8%)

series100.0ms (0.3%)

simplify501.0ms (1.4%)

rewrite415.0ms (1.2%)

eval202.0ms (0.6%)

prune226.0ms (0.6%)

regimes397.0ms (1.1%)

regimes652.0ms (1.9%)

regimes269.0ms (0.8%)

regimes353.0ms (1%)

regimes171.0ms (0.5%)

regimes100.0ms (0.3%)

regimes74.0ms (0.2%)

regimes351.0ms (1%)

regimes59.0ms (0.2%)

regimes52.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch27.0ms (0.1%)

bsearch56.0ms (0.2%)

simplify12.0ms (0%)

soundness1.3s (3.8%)

preprocess163.0ms (0.5%)

end0.0ms (0%)

Profiling