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

analyze407.0ms (0.9%)

Memory

7.0MiB live, 124.6MiB 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)

sample25.9s (57.5%)

Memory

50.9MiB live, 2 420.4MiB allocated

Samples

25.1s	8 256×	0	valid
398.0ms	2 005×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 20.3s

ival-mult: 10.3s (50.8% of total)

ival-sub: 9.6s (47.5% of total)

ival-sqrt: 111.0ms (0.5% of total)

ival-div: 102.0ms (0.5% of total)

ival-exp: 98.0ms (0.5% of total)

exact: 11.0ms (0.1% of total)

ival-true: 8.0ms (0% of total)

ival-assert: 5.0ms (0% of total)

Bogosity

preprocess128.0ms (0.3%)

Memory

11.4MiB live, 130.1MiB allocated

Algorithm

1×	egg-herbie

Rules

1 466×	`times-frac`
1 444×	`unsub-neg`
1 344×	`accelerator-lowering-fma.f32`
1 344×	`accelerator-lowering-fma.f64`
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	16
1	27	16
2	49	16
3	106	16
4	237	16
5	359	16
6	491	16
7	805	16
8	1492	16
9	1928	16
10	2062	16
11	2080	16
12	2080	16
13	2100	16
14	2108	16
15	2108	16
0	2108	16

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

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

Symmetry

(abs t)

explain234.0ms (0.5%)

Memory

-56.9MiB live, 289.8MiB 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

52.0ms

512×

valid

Compiler

Compiled 170 to 64 computations (62.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 15.0ms (49.7% of total)

ival-div: 4.0ms (13.2% of total)

ival-exp: 4.0ms (13.2% of total)

ival-sqrt: 4.0ms (13.2% of total)

ival-sub: 3.0ms (9.9% 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB 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)

simplify85.0ms (0.2%)

Memory

10.1MiB live, 125.3MiB 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×	`accelerator-lowering-fma.f32`
1 344×	`accelerator-lowering-fma.f64`
922×	`-lowering-.f32`
922×	`-lowering-.f64`
416×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	60
1	27	60
2	49	60
3	106	60
4	237	60
5	359	60
6	491	60
7	805	60
8	1492	60
9	1928	60
10	2062	60
11	2080	60
12	2080	60
13	2100	60
14	2108	60
15	2108	60
0	2108	60

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize46.0ms (0.1%)

Memory

7.6MiB live, 89.3MiB 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 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

26.0ms

256×

valid

Compiler

Compiled 64 to 17 computations (73.4% saved)

Precisions

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

ival-mult: 8.0ms (50.9% of total)

ival-div: 2.0ms (12.7% of total)

ival-exp: 2.0ms (12.7% of total)

ival-sqrt: 2.0ms (12.7% of total)

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

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

exact: 0.0ms (0% of total)

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

series20.0ms (0%)

Memory

-2.9MiB live, 34.7MiB allocated

Counts

6 → 144

Calls

Call 1

Inputs
#<alt (exp (/ (* t t) 2))>
#<alt (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))>
#<alt (* (- (* x 1/2) y) (sqrt (* z 2)))>
#<alt (- (* x 1/2) y)>
#<alt (/ (* t t) 2)>
#<alt (sqrt (* z 2))>

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 (* 1/2 (pow t 2))>
#<alt (* 1/2 (pow t 2))>
#<alt (* 1/2 (pow t 2))>
#<alt (* 1/2 (pow t 2))>
#<alt (* 1/2 (pow t 2))>
#<alt (* 1/2 (pow t 2))>
#<alt (* 1/2 (pow t 2))>
#<alt (* 1/2 (pow t 2))>
#<alt (* 1/2 (pow t 2))>
#<alt (* 1/2 (pow t 2))>
#<alt (* 1/2 (pow t 2))>
#<alt (* 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))))>

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	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)))

rewrite364.0ms (0.8%)

Memory

33.4MiB live, 655.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 922×	`accelerator-lowering-fma.f32`
6 922×	`accelerator-lowering-fma.f64`
4 292×	`/-lowering-/.f32`
4 292×	`/-lowering-/.f64`
3 846×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	45
1	54	44
2	276	44
3	2343	44
0	8606	44

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 458

Calls

Call 1

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

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

simplify573.0ms (1.3%)

Memory

-10.3MiB live, 758.6MiB allocated

Algorithm

1×	egg-herbie

Rules

18 894×	`accelerator-lowering-fma.f32`
18 894×	`accelerator-lowering-fma.f64`
6 254×	`-lowering-.f32`
6 254×	`-lowering-.f64`
4 660×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	2147
1	454	1668
2	1580	1575
3	4468	1572
0	8848	1560

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

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)))))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 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))))

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))
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(-.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)
(* 1/2 (pow t 2))
(.f64 #s(literal 1/2 binary64) (.f64 t t))
(* 1/2 (pow t 2))
(.f64 #s(literal 1/2 binary64) (.f64 t t))
(* 1/2 (pow t 2))
(.f64 #s(literal 1/2 binary64) (.f64 t t))
(* 1/2 (pow t 2))
(.f64 #s(literal 1/2 binary64) (.f64 t t))
(* 1/2 (pow t 2))
(.f64 #s(literal 1/2 binary64) (.f64 t t))
(* 1/2 (pow t 2))
(.f64 #s(literal 1/2 binary64) (.f64 t t))
(* 1/2 (pow t 2))
(.f64 #s(literal 1/2 binary64) (.f64 t t))
(* 1/2 (pow t 2))
(.f64 #s(literal 1/2 binary64) (.f64 t t))
(* 1/2 (pow t 2))
(.f64 #s(literal 1/2 binary64) (.f64 t t))
(* 1/2 (pow t 2))
(.f64 #s(literal 1/2 binary64) (.f64 t t))
(* 1/2 (pow t 2))
(.f64 #s(literal 1/2 binary64) (.f64 t t))
(* 1/2 (pow t 2))
(.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 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)))))

eval175.0ms (0.4%)

Memory: 18.6MiB live, 169.5MiB allocated
Compiler: Compiled 21 272 to 1 822 computations (91.4% saved)

prune128.0ms (0.3%)

Memory

-18.9MiB live, 231.3MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	585	17	602
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	586	17	603

Accuracy

100.0%

Counts

603 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.7%	(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)))))
	72.9%	(/.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))
▶	99.7%	(/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))))
▶	72.9%	(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (neg.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (*.f64 y y))))))
	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))))
	99.7%	(.f64 (fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (neg.f64 y)) (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))))
	99.6%	(.f64 (pow.f64 (.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (.f64 (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))))
	99.8%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))
	96.0%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 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)))
▶	93.0%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 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)))
	85.5%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
▶	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 1/2 binary64))))
▶	55.7%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	55.7%	(.f64 (.f64 (.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 x #s(literal 1/2 binary64)) y) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (.f64 x x))))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))))
	87.1%	(.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))))
	55.5%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))

Compiler

Compiled 904 to 590 computations (34.7% saved)

simplify293.0ms (0.6%)

Memory

8.5MiB live, 322.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 (fma.f64 x #s(literal 1/2 binary64) y))
✓	cost-diff	0	(/.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (neg.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (*.f64 y y)))))
✓	cost-diff	256	(neg.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (*.f64 y y)))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (neg.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (*.f64 y y))))))
✓	cost-diff	0	(.f64 z (exp.f64 (.f64 t t)))
✓	cost-diff	0	(.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))
✓	cost-diff	0	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t)))))
✓	cost-diff	1088	(/.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)))
✓	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)))) (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	320	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 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)))) (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64))))

Rules

6 088×	`accelerator-lowering-fma.f32`
6 088×	`accelerator-lowering-fma.f64`
3 394×	`-lowering-.f32`
3 394×	`-lowering-.f64`
1 610×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	410
1	111	403
2	352	397
3	1482	397
4	4716	397
5	7631	397
0	8456	387

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize405.0ms (0.9%)

Memory

-20.5MiB live, 194.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (neg.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (*.f64 y y))))))
✓	accuracy	97.4%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (neg.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (*.f64 y y))))
✓	accuracy	97.1%	(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (*.f64 y y))
✓	accuracy	83.1%	(/.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (neg.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (*.f64 y y)))))
✓	accuracy	100.0%	(exp.f64 (*.f64 t t))
✓	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	99.7%	(/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
✓	accuracy	100.0%	(*.f64 t t)
✓	accuracy	100.0%	(*.f64 t #s(literal 1/8 binary64))
✓	accuracy	100.0%	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	accuracy	99.8%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	accuracy	100.0%	(*.f64 z #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	accuracy	99.8%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	accuracy	100.0%	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	accuracy	100.0%	(exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 t t) #s(literal 1/2 binary64))
✓	accuracy	99.8%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))

Samples

264.0ms	123×	0	exit
49.0ms	133×	0	valid

Compiler

Compiled 405 to 43 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 23.0ms (50.4% of total)

ival-div: 6.0ms (13.2% of total)

ival-exp: 4.0ms (8.8% of total)

ival-sqrt: 4.0ms (8.8% of total)

ival-add: 3.0ms (6.6% of total)

ival-sub: 3.0ms (6.6% of total)

ival-neg: 2.0ms (4.4% of total)

exact: 1.0ms (2.2% of total)

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

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

series211.0ms (0.5%)

Memory

5.4MiB live, 118.1MiB allocated

Counts

24 → 648

Calls

Call 1

Inputs
#<alt (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* (* t t) 1/2)))>
#<alt (* (- (* x 1/2) y) (sqrt (* z 2)))>
#<alt (- (* x 1/2) y)>
#<alt (* x 1/2)>
#<alt (* (* (- (* x 1/2) y) (sqrt (* z 2))) 1)>
#<alt (* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1))>
#<alt (/ (sqrt (* 2 (* z (exp (* t t))))) (/ 1 (- (* x 1/2) y)))>
#<alt (sqrt (* 2 (* z (exp (* t t)))))>
#<alt (* 2 (* z (exp (* t t))))>
#<alt (* z (exp (* t t)))>
#<alt (/ 1 (/ (neg (+ (* x 1/2) y)) (* (sqrt (* 2 (* z (exp (* t t))))) (neg (- (* 1/4 (* x x)) (* y y))))))>
#<alt (neg (- (* 1/4 (* x x)) (* y y)))>
#<alt (/ (neg (+ (* x 1/2) y)) (* (sqrt (* 2 (* z (exp (* t t))))) (neg (- (* 1/4 (* x x)) (* y y)))))>
#<alt (neg (+ (* x 1/2) y))>
#<alt (* (* t t) 1/2)>
#<alt (exp (* (* t t) 1/2))>
#<alt (sqrt (* z 2))>
#<alt (* z 2)>
#<alt (* t 1/8)>
#<alt (* t t)>
#<alt (/ 1 (- (* x 1/2) y))>
#<alt (exp (* t t))>
#<alt (- (* 1/4 (* x x)) (* y y))>
#<alt (* (sqrt (* 2 (* z (exp (* t t))))) (neg (- (* 1/4 (* x x)) (* y y))))>

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

Calls

162 calls:

Time	Variable		Point	Expression
64.0ms	t	@	0	(/ 1 (/ (neg (+ (* x 1/2) y)) (* (sqrt (* 2 (* z (exp (* t t))))) (neg (- (* 1/4 (* x x)) (* y y))))))
9.0ms	z	@	inf	(/ (sqrt (* 2 (* z (exp (* t t))))) (/ 1 (- (* x 1/2) y)))
7.0ms	y	@	inf	(/ 1 (/ (neg (+ (* x 1/2) y)) (* (sqrt (* 2 (* z (exp (* t t))))) (neg (- (* 1/4 (* x x)) (* y y))))))
4.0ms	x	@	-inf	(* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1))
2.0ms	z	@	0	(/ 1 (/ (neg (+ (* x 1/2) y)) (* (sqrt (* 2 (* z (exp (* t t))))) (neg (- (* 1/4 (* x x)) (* y y))))))

rewrite1.1s (2.5%)

Memory

-17.0MiB live, 584.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 708×	`accelerator-lowering-fma.f32`
4 708×	`accelerator-lowering-fma.f64`
4 296×	`-lowering-.f32`
4 296×	`-lowering-.f64`
4 242×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	233
1	200	215
2	1491	215
0	8414	211

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 1 242

Calls

Call 1

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

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

simplify564.0ms (1.3%)

Memory

13.9MiB live, 957.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 626×	`accelerator-lowering-fma.f32`
7 626×	`accelerator-lowering-fma.f64`
6 212×	`-lowering-.f32`
6 212×	`-lowering-.f64`
4 724×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	734	12291
1	2403	11593
2	5845	11254
0	8350	10823

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 648

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

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

eval480.0ms (1.1%)

Memory: 24.3MiB live, 934.9MiB allocated
Compiler: Compiled 90 009 to 4 830 computations (94.6% saved)

prune376.0ms (0.8%)

Memory

19.0MiB live, 971.1MiB allocated

Pruning

35 alts after pruning (35 fresh and 0 done)

	Pruned	Kept	Total
New	2 802	31	2 833
Fresh	8	4	12
Picked	5	0	5
Done	0	0	0
Total	2 815	35	2 850

Accuracy

100.0%

Counts

2 850 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.7%	(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)))))
▶	99.8%	(/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))))
	61.8%	(/.f64 (.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)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 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)))
▶	51.3%	(/.f64 (.f64 (fma.f64 y (neg.f64 y) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
	38.6%	(/.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))) (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 (.f64 x #s(literal 1/4 binary64)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))
	24.2%	(/.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 x (.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))
	55.6%	(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y)))
	51.3%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (fma.f64 y (neg.f64 y) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))))
	99.7%	(.f64 (fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (neg.f64 y)) (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))))
	46.5%	(.f64 (fma.f64 y (neg.f64 y) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)))
	16.6%	(.f64 (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (/.f64 (fma.f64 y (neg.f64 y) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
	93.4%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 z #s(literal 2 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))))
	55.7%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
	37.7%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 x #s(literal 1/4 binary64)) (fma.f64 y (neg.f64 y) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (/.f64 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)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	93.7%	(.f64 (.f64 (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 z #s(literal 2 binary64))))
	43.5%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 1 binary64))
	92.7%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 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)))
	96.0%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 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)))
	85.5%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
	55.5%	(.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
▶	28.0%	(.f64 (.f64 (.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	53.9%	(.f64 (.f64 (.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(literal 1 binary64))
▶	57.2%	(.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	55.0%	(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 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)))
	25.2%	(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	55.2%	(.f64 (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 x y)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))
	60.2%	(.f64 (.f64 (sqrt.f64 z) (neg.f64 (.f64 y (sqrt.f64 #s(literal 2 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)))
	55.4%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
	60.4%	(.f64 (.f64 (neg.f64 y) (sqrt.f64 (.f64 z #s(literal 2 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)))
	66.1%	(.f64 (.f64 (neg.f64 y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (.f64 (*.f64 t t) #s(literal 1/2 binary64))))
▶	33.6%	(.f64 (.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	54.9%	(.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	33.5%	(.f64 (sqrt.f64 z) (neg.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64)))))
	75.3%	(.f64 (neg.f64 y) (.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) (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
	25.1%	(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))

Compiler

Compiled 1 820 to 1 198 computations (34.2% saved)

simplify831.0ms (1.8%)

Memory

-146.1MiB live, 699.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
✓	cost-diff	320	(.f64 (.f64 (.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
✓	cost-diff	704	(/.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) #s(literal 1 binary64))
✓	cost-diff	3840	(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
✓	cost-diff	0	(neg.f64 y)
✓	cost-diff	0	(fma.f64 y (neg.f64 y) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
✓	cost-diff	0	(.f64 (fma.f64 y (neg.f64 y) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
✓	cost-diff	0	(/.f64 (.f64 (fma.f64 y (neg.f64 y) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
✓	cost-diff	0	(-.f64 #s(literal 1/2 binary64) (/.f64 y x))
✓	cost-diff	0	(.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	cost-diff	320	(.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
✓	cost-diff	704	(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))
✓	cost-diff	0	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	cost-diff	0	(neg.f64 y)
✓	cost-diff	0	(.f64 (neg.f64 y) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
✓	cost-diff	320	(.f64 (.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (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	1088	(/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))))

Rules

20 908×	`accelerator-lowering-fma.f32`
20 908×	`accelerator-lowering-fma.f64`
4 978×	`-lowering-.f32`
4 978×	`-lowering-.f64`
2 648×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	332
1	109	327
2	264	327
3	900	327
4	3832	319
5	7190	319
0	8069	309

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (- (* x 1/2) y) (/ 1 (sqrt (* (* z 2) (exp (* t t))))))
(- (* x 1/2) y)
(* x 1/2)
x
1/2
y
(/ 1 (sqrt (* (* z 2) (exp (* t t)))))
1
(sqrt (* (* z 2) (exp (* t t))))
(* (* z 2) (exp (* t t)))
(* z 2)
z
2
(exp (* t t))
(* t t)
t
(* (* (neg y) (sqrt (* z 2))) 1)
(* (neg y) (sqrt (* z 2)))
(neg y)
y
(sqrt (* z 2))
(* z 2)
z
2
1
(* (* (* x (- 1/2 (/ y x))) (sqrt (* z 2))) 1)
(* (* x (- 1/2 (/ y x))) (sqrt (* z 2)))
(* x (- 1/2 (/ y x)))
x
(- 1/2 (/ y x))
1/2
(/ y x)
y
(sqrt (* z 2))
(* z 2)
z
2
1
(/ (* (+ (* y (neg y)) (* 1/4 (* x x))) (sqrt (* z 2))) (+ (* x 1/2) y))
(* (+ (* y (neg y)) (* 1/4 (* x x))) (sqrt (* z 2)))
(+ (* y (neg y)) (* 1/4 (* x x)))
y
(neg y)
(* 1/4 (* x x))
1/4
(* x x)
x
(sqrt (* z 2))
(* z 2)
z
2
(+ (* x 1/2) y)
1/2
(* (* (* (/ (+ (* x (* x 1/4)) (* y (+ (* x 1/2) y))) 1) (/ (- (* x 1/2) y) (+ (* x (* x 1/4)) (* y (+ (* x 1/2) y))))) (sqrt (* z 2))) 1)
(* (* (/ (+ (* x (* x 1/4)) (* y (+ (* x 1/2) y))) 1) (/ (- (* x 1/2) y) (+ (* x (* x 1/4)) (* y (+ (* x 1/2) y))))) (sqrt (* z 2)))
(* (/ (+ (* x (* x 1/4)) (* y (+ (* x 1/2) y))) 1) (/ (- (* x 1/2) y) (+ (* x (* x 1/4)) (* y (+ (* x 1/2) y)))))
(/ (+ (* x (* x 1/4)) (* y (+ (* x 1/2) y))) 1)
(+ (* x (* x 1/4)) (* y (+ (* x 1/2) y)))
x
(* x 1/4)
1/4
(* y (+ (* x 1/2) y))
y
(+ (* x 1/2) y)
1/2
1
(/ (- (* x 1/2) y) (+ (* x (* x 1/4)) (* y (+ (* x 1/2) y))))
(- (* x 1/2) y)
(* x 1/2)
(sqrt (* z 2))
(* z 2)
z
2

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

localize275.0ms (0.6%)

Memory

-2.1MiB live, 205.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
✓	accuracy	98.4%	(fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))
✓	accuracy	76.9%	(/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))
✓	accuracy	76.9%	(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	98.0%	(fma.f64 y (neg.f64 y) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
✓	accuracy	97.0%	(.f64 (fma.f64 y (neg.f64 y) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
✓	accuracy	83.1%	(/.f64 (.f64 (fma.f64 y (neg.f64 y) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
✓	accuracy	100.0%	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	accuracy	100.0%	(-.f64 #s(literal 1/2 binary64) (/.f64 y x))
✓	accuracy	99.8%	(.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	accuracy	94.5%	(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))
✓	accuracy	100.0%	(*.f64 z #s(literal 2 binary64))
✓	accuracy	100.0%	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	99.8%	(.f64 (neg.f64 y) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
✓	accuracy	100.0%	(exp.f64 (*.f64 t t))
✓	accuracy	100.0%	(.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))
✓	accuracy	99.9%	(/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))

Samples

92.0ms	133×	0	valid
36.0ms	123×	0	exit

Compiler

Compiled 405 to 44 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

ival-mult: 71.0ms (70.3% of total)

ival-sqrt: 11.0ms (10.9% of total)

ival-div: 9.0ms (8.9% of total)

ival-add: 3.0ms (3% of total)

ival-exp: 2.0ms (2% of total)

ival-sub: 2.0ms (2% of total)

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

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

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

exact: 0.0ms (0% of total)

series104.0ms (0.2%)

Memory

13.4MiB live, 88.9MiB allocated

Counts

24 → 612

Calls

Call 1

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

Calls

153 calls:

Time	Variable		Point	Expression
50.0ms	y	@	inf	(/ (* (+ (* y (neg y)) (* 1/4 (* x x))) (sqrt (* z 2))) (+ (* x 1/2) y))
15.0ms	y	@	-inf	(/ (+ (* x (* x 1/4)) (* y (+ (* x 1/2) y))) 1)
2.0ms	x	@	inf	(/ (* (+ (* y (neg y)) (* 1/4 (* x x))) (sqrt (* z 2))) (+ (* x 1/2) y))
1.0ms	z	@	0	(/ (* (+ (* y (neg y)) (* 1/4 (* x x))) (sqrt (* z 2))) (+ (* x 1/2) y))
1.0ms	z	@	-inf	(/ (* (+ (* y (neg y)) (* 1/4 (* x x))) (sqrt (* z 2))) (+ (* x 1/2) y))

rewrite428.0ms (0.9%)

Memory

31.3MiB live, 818.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 086×	`accelerator-lowering-fma.f32`
5 086×	`accelerator-lowering-fma.f64`
4 550×	`/-lowering-/.f32`
4 550×	`/-lowering-/.f64`
3 668×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	245
1	214	207
2	1773	207
0	8464	201

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 1 256

Calls

Call 1

Inputs
(/ (- (* x 1/2) y) (/ 1 (sqrt (* (* z 2) (exp (* t t))))))
(- (* x 1/2) y)
(* x 1/2)
(/ 1 (sqrt (* (* z 2) (exp (* t t)))))
(* (* (neg y) (sqrt (* z 2))) 1)
(* (neg y) (sqrt (* z 2)))
(neg y)
(sqrt (* z 2))
(* x (- 1/2 (/ y x)))
(* (* (* x (- 1/2 (/ y x))) (sqrt (* z 2))) 1)
(* (* x (- 1/2 (/ y x))) (sqrt (* z 2)))
(- 1/2 (/ y x))
(/ (* (+ (* y (neg y)) (* 1/4 (* x x))) (sqrt (* z 2))) (+ (* x 1/2) y))
(* (+ (* y (neg y)) (* 1/4 (* x x))) (sqrt (* z 2)))
(+ (* y (neg y)) (* 1/4 (* x x)))
(* (/ (+ (* x (* x 1/4)) (* y (+ (* x 1/2) y))) 1) (/ (- (* x 1/2) y) (+ (* x (* x 1/4)) (* y (+ (* x 1/2) y)))))
(/ (+ (* x (* x 1/4)) (* y (+ (* x 1/2) y))) 1)
(* (* (* (/ (+ (* x (* x 1/4)) (* y (+ (* x 1/2) y))) 1) (/ (- (* x 1/2) y) (+ (* x (* x 1/4)) (* y (+ (* x 1/2) y))))) (sqrt (* z 2))) 1)
(* (* (/ (+ (* x (* x 1/4)) (* y (+ (* x 1/2) y))) 1) (/ (- (* x 1/2) y) (+ (* x (* x 1/4)) (* y (+ (* x 1/2) y))))) (sqrt (* z 2)))
(* (* z 2) (exp (* t t)))
(exp (* t t))
(* z 2)
(/ (- (* x 1/2) y) (+ (* x (* x 1/4)) (* y (+ (* x 1/2) y))))
(+ (* x (* x 1/4)) (* y (+ (* x 1/2) y)))

Outputs
(+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) (neg.f64 (.f64 y (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 (neg.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))))
(-.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) (.f64 y (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))))) (/.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))))) (/.f64 (/.f64 (.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))))) (.f64 (neg.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))))
(-.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 x (.f64 x #s(literal 1/4 binary64)))))) (/.f64 (.f64 y (.f64 y y)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 x (*.f64 x #s(literal 1/4 binary64)))))))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y))) (/.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y y) (.f64 y y)) (fma.f64 y (neg.f64 y) (.f64 #s(literal -1/4 binary64) (.f64 x x)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y))) (/.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 y (neg.f64 y) (.f64 #s(literal -1/4 binary64) (.f64 x x)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y))))
(-.f64 (/.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))) #s(literal -1 binary64))) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) y) (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 y (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) (.f64 y (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))))))) (/.f64 (pow.f64 (.f64 y (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 y (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) (.f64 y (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))))))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) #s(literal 2 binary64)) (fma.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) (.f64 y (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))))) (/.f64 (pow.f64 (.f64 y (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) #s(literal 2 binary64)) (fma.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) (.f64 y (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))))))
(-.f64 (/.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) #s(literal 1 binary64)) (/.f64 (.f64 y (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) #s(literal 1 binary64)))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) (neg.f64 (.f64 y (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))))))
(fma.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) (neg.f64 (.f64 y (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))) (neg.f64 (.f64 y (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))))))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) (neg.f64 (.f64 y (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))))
(fma.f64 (neg.f64 (.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) (neg.f64 (.f64 y (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))))))
(fma.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) (neg.f64 (.f64 y (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))))
(neg.f64 (.f64 (neg.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))))
(/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (neg.f64 (.f64 y (.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))) #s(literal -1 binary64)) (-.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 x (.f64 x #s(literal 1/4 binary64)))) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (neg.f64 (.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 y (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) (.f64 y (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))))))) (-.f64 (pow.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) #s(literal 3 binary64)) (pow.f64 (.f64 y (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) (.f64 y (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))))) (-.f64 (pow.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) #s(literal 2 binary64)) (pow.f64 (.f64 y (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 x (.f64 x #s(literal 1/4 binary64)))) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (neg.f64 (.f64 y (.f64 y y)))) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))))
(/.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))))))
(/.f64 (neg.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (neg.f64 (.f64 y (.f64 y y)))) (/.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 x (.f64 x #s(literal 1/4 binary64)))) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (neg.f64 (.f64 y (.f64 y y)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 x (.f64 x #s(literal 1/4 binary64))))))
(/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))))
(/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)))
(/.f64 (-.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))) y)) (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y))))
(/.f64 (neg.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))) (neg.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))))))
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(/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (.f64 (fma.f64 y y (.f64 x (.f64 x #s(literal 1/4 binary64)))) (fma.f64 y y (.f64 x (.f64 x #s(literal 1/4 binary64)))))) (-.f64 (.f64 x (.f64 #s(literal 1/2 binary64) y)) (fma.f64 y y (.f64 x (*.f64 x #s(literal 1/4 binary64))))))
(/.f64 (-.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y y)) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y y))) (.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 x (.f64 #s(literal 1/2 binary64) y))) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 x (.f64 #s(literal 1/2 binary64) y)))) (.f64 (.f64 y y) (.f64 y y))) (-.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 x (.f64 #s(literal 1/2 binary64) y))) (.f64 y y)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) (.f64 (/.f64 (.f64 (.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (/.f64 (.f64 (.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))) (+.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (/.f64 (.f64 (.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))))
(pow.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 x (.f64 x #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 x (.f64 x #s(literal 1/4 binary64))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 x (*.f64 x #s(literal 1/4 binary64)))))
(.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 x (*.f64 x #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 x (*.f64 x #s(literal 1/4 binary64))))))
(.f64 (neg.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 x (*.f64 x #s(literal 1/4 binary64))))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) (.f64 (.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (.f64 (.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (-.f64 (.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (.f64 x (.f64 x #s(literal 1/4 binary64)))) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) (.f64 (.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (.f64 (.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))))
(.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)) (neg.f64 (.f64 (.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
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(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)) (neg.f64 (.f64 (.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))

simplify506.0ms (1.1%)

Memory

-11.4MiB live, 701.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 558×	`accelerator-lowering-fma.f32`
10 558×	`accelerator-lowering-fma.f64`
6 880×	`-lowering-.f32`
6 880×	`-lowering-.f64`
3 044×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	468	8132
1	1514	7488
2	5060	6776
0	8198	6643

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 612

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

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

eval413.0ms (0.9%)

Memory: 34.3MiB live, 643.2MiB allocated
Compiler: Compiled 96 897 to 5 564 computations (94.3% saved)

prune327.0ms (0.7%)

Memory

-30.5MiB live, 620.7MiB allocated

Pruning

40 alts after pruning (40 fresh and 0 done)

	Pruned	Kept	Total
New	2 347	24	2 371
Fresh	14	16	30
Picked	5	0	5
Done	0	0	0
Total	2 366	40	2 406

Accuracy

100.0%

Counts

2 406 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	92.5%	(/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))))
	55.7%	(/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
	61.8%	(/.f64 (.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)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 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)))
	53.3%	(/.f64 (.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
	54.9%	(/.f64 (.f64 (.f64 y (.f64 y (fma.f64 #s(literal 1/4 binary64) (.f64 x (/.f64 x (.f64 y y))) #s(literal -1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
	22.0%	(/.f64 (.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
	33.5%	(/.f64 (.f64 (neg.f64 (.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
	55.6%	(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y)))
▶	55.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
	93.4%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 z #s(literal 2 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))))
	55.7%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
▶	54.4%	(.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) (.f64 x (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
	93.7%	(.f64 (.f64 (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 z #s(literal 2 binary64))))
	40.4%	(.f64 (.f64 (/.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(literal 1 binary64))
	33.4%	(.f64 (.f64 (/.f64 (.f64 y y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	92.7%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 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)))
▶	96.0%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 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)))
	85.5%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
	55.5%	(.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
	44.3%	(.f64 (.f64 (.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) #s(literal 1 binary64)) (fma.f64 y (/.f64 #s(literal -8 binary64) (.f64 x x)) (/.f64 #s(literal 2 binary64) x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	43.9%	(.f64 (.f64 (.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -8 binary64) #s(literal 2 binary64)) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	36.4%	(.f64 (.f64 (.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 y y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	34.3%	(.f64 (.f64 (.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (fma.f64 y #s(literal 8 binary64) (/.f64 (.f64 (.f64 y y) #s(literal -8 binary64)) x)) x)) (neg.f64 x))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
▶	30.4%	(.f64 (.f64 (.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	15.8%	(.f64 (.f64 (.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	53.9%	(.f64 (.f64 (.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(literal 1 binary64))
	57.2%	(.f64 (.f64 (.f64 x (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	25.2%	(.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	55.0%	(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 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)))
	57.5%	(.f64 (.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x)
	60.2%	(.f64 (.f64 (sqrt.f64 z) (neg.f64 (.f64 y (sqrt.f64 #s(literal 2 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)))
	55.4%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
	25.1%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
	33.5%	(.f64 (.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
	60.4%	(.f64 (.f64 (neg.f64 y) (sqrt.f64 (.f64 z #s(literal 2 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)))
	66.1%	(.f64 (.f64 (neg.f64 y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (.f64 (*.f64 t t) #s(literal 1/2 binary64))))
	33.5%	(.f64 (.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
	54.9%	(.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
▶	33.6%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (neg.f64 y))
	33.5%	(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y)))

Compiler

Compiled 1 778 to 1 260 computations (29.1% saved)

simplify418.0ms (0.9%)

Memory

15.1MiB live, 506.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x))
✓	cost-diff	0	(.f64 (.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	cost-diff	320	(.f64 (.f64 (.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
✓	cost-diff	704	(/.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) #s(literal 1 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 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
✓	cost-diff	0	(.f64 x (sqrt.f64 (.f64 z #s(literal 2 binary64))))
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(-.f64 #s(literal 1/2 binary64) (/.f64 y x))
✓	cost-diff	704	(.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) (.f64 x (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
✓	cost-diff	0	(neg.f64 y)
✓	cost-diff	0	(*.f64 z #s(literal 2 binary64))
✓	cost-diff	0	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (neg.f64 y))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
✓	cost-diff	0	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	cost-diff	0	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (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

15 854×	`accelerator-lowering-fma.f32`
15 854×	`accelerator-lowering-fma.f64`
4 510×	`-lowering-.f32`
4 510×	`-lowering-.f64`
2 958×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	333
1	120	333
2	374	333
3	1397	333
4	2600	333
5	5032	333
0	8070	312

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize190.0ms (0.4%)

Memory

-14.9MiB live, 217.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))
✓	accuracy	98.6%	(.f64 (.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	accuracy	97.3%	(fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))
✓	accuracy	73.9%	(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x))
✓	accuracy	100.0%	(sqrt.f64 (*.f64 z #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))))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
✓	accuracy	100.0%	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	accuracy	100.0%	(-.f64 #s(literal 1/2 binary64) (/.f64 y x))
✓	accuracy	99.6%	(.f64 x (sqrt.f64 (.f64 z #s(literal 2 binary64))))
✓	accuracy	89.2%	(.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) (.f64 x (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
✓	accuracy	100.0%	(*.f64 z #s(literal 2 binary64))
✓	accuracy	100.0%	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	99.6%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (neg.f64 y))
✓	accuracy	99.9%	(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	99.9%	(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
✓	accuracy	99.7%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	accuracy	98.5%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 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)))

Samples

77.0ms

256×

valid

Compiler

Compiled 330 to 43 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 24.0ms (49.7% of total)

ival-div: 8.0ms (16.6% of total)

ival-add: 6.0ms (12.4% of total)

const: 4.0ms (8.3% of total)

ival-sub: 2.0ms (4.1% of total)

ival-sqrt: 2.0ms (4.1% of total)

exact: 1.0ms (2.1% of total)

ival-neg: 1.0ms (2.1% of total)

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

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

series74.0ms (0.2%)

Memory

36.0MiB live, 75.0MiB allocated

Counts

22 → 552

Calls

Call 1

Inputs
#<alt (* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* (* t t) (+ (* (* t t) (+ (* (* t t) 1/48) 1/8)) 1/2)) 1))>
#<alt (* (- (* x 1/2) y) (sqrt (* z 2)))>
#<alt (- (* x 1/2) y)>
#<alt (* x 1/2)>
#<alt (* (sqrt (* z 2)) (neg y))>
#<alt (sqrt (* z 2))>
#<alt (* z 2)>
#<alt (neg y)>
#<alt (* (- 1/2 (/ y x)) (* x (sqrt (* z 2))))>
#<alt (- 1/2 (/ y x))>
#<alt (/ y x)>
#<alt (* x (sqrt (* z 2)))>
#<alt (/ 1 (/ 1 (* (- (* x 1/2) y) (sqrt (* z 2)))))>
#<alt (/ 1 (* (- (* x 1/2) y) (sqrt (* z 2))))>
#<alt (/ (+ (* x (* x 1/4)) (* y (+ (* x 1/2) y))) 1)>
#<alt (* (* (* (/ (+ (* x (* x 1/4)) (* y (+ (* x 1/2) y))) 1) (/ 2 x)) (sqrt (* z 2))) 1)>
#<alt (* (* (/ (+ (* x (* x 1/4)) (* y (+ (* x 1/2) y))) 1) (/ 2 x)) (sqrt (* z 2)))>
#<alt (* (/ (+ (* x (* x 1/4)) (* y (+ (* x 1/2) y))) 1) (/ 2 x))>
#<alt (+ (* (* t t) 1/48) 1/8)>
#<alt (+ (* (* t t) (+ (* (* t t) 1/48) 1/8)) 1/2)>
#<alt (+ (* x (* x 1/4)) (* y (+ (* x 1/2) y)))>
#<alt (* y (+ (* x 1/2) y))>

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

Calls

138 calls:

Time	Variable		Point	Expression
35.0ms	z	@	0	(* x (sqrt (* z 2)))
2.0ms	x	@	0	(* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* (* t t) (+ (* (* t t) (+ (* (* t t) 1/48) 1/8)) 1/2)) 1))
1.0ms	z	@	0	(* (* (* (/ (+ (* x (* x 1/4)) (* y (+ (* x 1/2) y))) 1) (/ 2 x)) (sqrt (* z 2))) 1)
1.0ms	z	@	0	(* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* (* t t) (+ (* (* t t) (+ (* (* t t) 1/48) 1/8)) 1/2)) 1))
1.0ms	z	@	-inf	(* (* (* (/ (+ (* x (* x 1/4)) (* y (+ (* x 1/2) y))) 1) (/ 2 x)) (sqrt (* z 2))) 1)

rewrite982.0ms (2.2%)

Memory

-0.5MiB live, 536.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 408×	`accelerator-lowering-fma.f32`
5 408×	`accelerator-lowering-fma.f64`
4 748×	`-lowering-.f32`
4 748×	`-lowering-.f64`
4 074×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	226
1	233	226
2	2044	219
0	8261	202

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 1 138

Calls

Call 1

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

Outputs
(+.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))))
(+.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))) (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) (.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))) (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))))) (/.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))) (/.f64 (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))))))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))) (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))))
(fma.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))))
(fma.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))))
(fma.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))) (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))))
(fma.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
(fma.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))))
(fma.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
(fma.f64 t (.f64 (.f64 t (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))) (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
(fma.f64 (.f64 t t) (.f64 (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))) (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
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simplify647.0ms (1.4%)

Memory

13.9MiB live, 887.9MiB allocated

Algorithm

1×	egg-herbie

Rules

13 246×	`accelerator-lowering-fma.f32`
13 246×	`accelerator-lowering-fma.f64`
7 562×	`-lowering-.f32`
7 562×	`-lowering-.f64`
3 366×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	522	8947
1	1666	8221
2	5693	7746
0	8043	7365

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 552

Calls

Call 1

Inputs
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))))
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))))
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))))
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))))
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))))
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))))
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) x) (sqrt z)))))
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))))
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1/8
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1/2
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Outputs
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))
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1/8
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(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
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(* 1/48 (pow t 2))
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1/2
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(pow y 2)
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(pow y 2)
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(* 1/2 (* x y))
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eval377.0ms (0.8%)

Memory: -31.4MiB live, 662.7MiB allocated
Compiler: Compiled 67 505 to 4 792 computations (92.9% saved)

prune392.0ms (0.9%)

Memory

28.8MiB live, 871.0MiB allocated

Pruning

45 alts after pruning (44 fresh and 1 done)

	Pruned	Kept	Total
New	2 034	22	2 056
Fresh	13	22	35
Picked	4	1	5
Done	0	0	0
Total	2 051	45	2 096

Accuracy

100.0%

Counts

2 096 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	92.5%	(/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))))
	55.7%	(/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
	61.8%	(/.f64 (.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)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 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)))
	12.7%	(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (*.f64 y (fma.f64 y #s(literal 2 binary64) x))) x)
	54.9%	(/.f64 (.f64 (.f64 y (.f64 y (fma.f64 #s(literal 1/4 binary64) (.f64 x (/.f64 x (.f64 y y))) #s(literal -1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
	22.0%	(/.f64 (.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
	33.5%	(/.f64 (.f64 (neg.f64 (.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
	55.6%	(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y)))
	55.6%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
	33.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) (sqrt.f64 (.f64 z #s(literal 2 binary64))))))
	54.4%	(.f64 (fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
	55.7%	(.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
	33.0%	(.f64 (/.f64 y (neg.f64 x)) (.f64 x (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
	93.4%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 z #s(literal 2 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))))
	45.8%	(.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 x)) (.f64 (neg.f64 x) y)) (.f64 x x))) (.f64 x (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
	54.2%	(.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) (.f64 (*.f64 x (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))))
	97.1%	(.f64 (.f64 (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
	93.7%	(.f64 (.f64 (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 z #s(literal 2 binary64))))
	55.5%	(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
	23.1%	(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	14.6%	(.f64 (.f64 (/.f64 (.f64 y (.f64 y #s(literal 2 binary64))) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	95.8%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (.f64 t (.f64 t (.f64 (*.f64 t t) #s(literal 1/48 binary64)))) #s(literal 1 binary64)))
	85.5%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))
	57.5%	(.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) x)
	44.3%	(.f64 (.f64 (.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) #s(literal 1 binary64)) (fma.f64 y (/.f64 #s(literal -8 binary64) (.f64 x x)) (/.f64 #s(literal 2 binary64) x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	43.9%	(.f64 (.f64 (.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -8 binary64) #s(literal 2 binary64)) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	34.3%	(.f64 (.f64 (.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (fma.f64 y #s(literal 8 binary64) (/.f64 (.f64 (.f64 y y) #s(literal -8 binary64)) x)) x)) (neg.f64 x))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	56.4%	(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (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)))
	53.9%	(.f64 (.f64 (.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(literal 1 binary64))
	57.2%	(.f64 (.f64 (.f64 x (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	56.5%	(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 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)))
	55.0%	(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 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)))
	33.5%	(.f64 (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))
	60.2%	(.f64 (.f64 (sqrt.f64 z) (neg.f64 (.f64 y (sqrt.f64 #s(literal 2 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)))
	23.0%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x y))
	25.1%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
	63.7%	(.f64 (.f64 (neg.f64 y) (sqrt.f64 (.f64 z #s(literal 2 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)))
	60.4%	(.f64 (.f64 (neg.f64 y) (sqrt.f64 (.f64 z #s(literal 2 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)))
	66.1%	(.f64 (.f64 (neg.f64 y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (.f64 (*.f64 t t) #s(literal 1/2 binary64))))
	33.5%	(.f64 (.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
	54.9%	(.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	33.4%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
✓	33.6%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (neg.f64 y))
	33.5%	(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y)))
	25.2%	(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))

Compiler

Compiled 2 780 to 1 026 computations (63.1% saved)

regimes451.0ms (1%)

Memory

5.1MiB live, 590.0MiB allocated

Counts

95 → 1

Calls

Call 1

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

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

Calls

13 calls:

85.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
42.0ms	(*.f64 x #s(literal 1/2 binary64))
36.0ms	x
31.0ms	t
31.0ms	(.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
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`t`
99.8%	1	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
99.8%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
99.8%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
99.8%	1	`(*.f64 x #s(literal 1/2 binary64))`
99.8%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
99.8%	1	`(*.f64 z #s(literal 2 binary64))`
99.8%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
99.8%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
99.8%	1	`(*.f64 t t)`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes363.0ms (0.8%)

Memory

15.4MiB live, 573.5MiB allocated

Counts

84 → 1

Calls

Call 1

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

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

Calls

13 calls:

38.0ms	z
38.0ms	(*.f64 t t)
34.0ms	x
28.0ms	(*.f64 z #s(literal 2 binary64))
27.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))

Results

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

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes393.0ms (0.9%)

Memory

-8.0MiB live, 595.5MiB allocated

Counts

83 → 1

Calls

Call 1

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

Outputs

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

Calls

13 calls:

49.0ms	y
44.0ms	t
44.0ms	(*.f64 z #s(literal 2 binary64))
34.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
28.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
97.1%	1	`x`
97.1%	1	`y`
97.1%	1	`z`
97.1%	1	`t`
97.1%	1	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
97.1%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
97.1%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
97.1%	1	`(*.f64 x #s(literal 1/2 binary64))`
97.1%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
97.1%	1	`(*.f64 z #s(literal 2 binary64))`
97.1%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
97.1%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
97.1%	1	`(*.f64 t t)`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes280.0ms (0.6%)

Memory

17.8MiB live, 548.7MiB allocated

Counts

62 → 1

Calls

Call 1

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

Outputs

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

Calls

13 calls:

37.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
28.0ms	z
21.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
20.0ms	x
20.0ms	(*.f64 t t)

Results

Accuracy	Segments	Branch
96.0%	1	`x`
96.0%	1	`y`
96.0%	1	`z`
96.0%	1	`t`
96.0%	1	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
96.0%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
96.0%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
96.0%	1	`(*.f64 x #s(literal 1/2 binary64))`
96.0%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
96.0%	1	`(*.f64 z #s(literal 2 binary64))`
96.0%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
96.0%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
96.0%	1	`(*.f64 t t)`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes2.1s (4.7%)

Memory

-18.2MiB live, 665.1MiB allocated

Counts

61 → 1

Calls

Call 1

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

Calls

13 calls:

921.0ms	(/.f64 (*.f64 t t) #s(literal 2 binary64))
902.0ms	(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
47.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
45.0ms	(*.f64 t t)
39.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)

Results

Accuracy	Segments	Branch
95.8%	1	`z`
95.8%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
95.8%	1	`(*.f64 z #s(literal 2 binary64))`
95.8%	1	`x`
95.8%	1	`y`
95.8%	1	`t`
95.8%	1	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
95.8%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
95.8%	1	`(*.f64 x #s(literal 1/2 binary64))`
95.8%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
95.8%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
95.8%	1	`(*.f64 t t)`
95.8%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes250.0ms (0.6%)

Memory

28.1MiB live, 460.4MiB allocated

Counts

59 → 1

Calls

Call 1

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

Outputs

(*.f64 (*.f64 (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 z #s(literal 2 binary64))))

Calls

13 calls:

34.0ms	x
20.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
19.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
19.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
19.0ms	t

Results

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

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes305.0ms (0.7%)

Memory

4.0MiB live, 285.0MiB allocated

Counts

46 → 1

Calls

Call 1

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

Calls

13 calls:

70.0ms	t
44.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
41.0ms	y
29.0ms	x
15.0ms	(*.f64 z #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
93.0%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
93.0%	1	`x`
93.0%	1	`y`
93.0%	1	`z`
93.0%	1	`t`
93.0%	1	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
93.0%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
93.0%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
93.0%	1	`(*.f64 x #s(literal 1/2 binary64))`
93.0%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
93.0%	1	`(*.f64 z #s(literal 2 binary64))`
93.0%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
93.0%	1	`(*.f64 t t)`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes441.0ms (1%)

Memory

-26.3MiB live, 211.1MiB allocated

Counts

45 → 1

Calls

Call 1

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

Calls

13 calls:

103.0ms	(.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))))
71.0ms	z
50.0ms	(*.f64 x #s(literal 1/2 binary64))
44.0ms	(*.f64 z #s(literal 2 binary64))
31.0ms	(*.f64 t t)

Results

Accuracy	Segments	Branch
87.1%	1	`y`
87.1%	1	`z`
87.1%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
87.1%	1	`(*.f64 z #s(literal 2 binary64))`
87.1%	1	`x`
87.1%	1	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
87.1%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
87.1%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
87.1%	1	`(*.f64 x #s(literal 1/2 binary64))`
87.1%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
87.1%	1	`t`
87.1%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
87.1%	1	`(*.f64 t t)`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes210.0ms (0.5%)

Memory

43.6MiB live, 318.6MiB allocated

Counts

44 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

13 calls:

34.0ms	y
27.0ms	(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
16.0ms	t
15.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
14.0ms	(*.f64 x #s(literal 1/2 binary64))

Results

Accuracy	Segments	Branch
85.5%	1	`x`
85.5%	1	`y`
85.5%	1	`z`
88.8%	3	`t`
85.5%	1	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
85.5%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
85.5%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
85.5%	1	`(*.f64 x #s(literal 1/2 binary64))`
85.5%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
85.5%	1	`(*.f64 z #s(literal 2 binary64))`
85.5%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
88.8%	3	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
88.8%	3	`(*.f64 t t)`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes63.0ms (0.1%)

Memory

-79.7MiB live, 120.8MiB allocated

Counts

42 → 1

Calls

Call 1

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

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

Calls

4 calls:

14.0ms	t
13.0ms	(/.f64 (*.f64 t t) #s(literal 2 binary64))
11.0ms	(*.f64 t t)
10.0ms	(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
85.5%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
85.5%	1	`t`
85.5%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
85.5%	1	`(*.f64 t t)`

Compiler

Compiled 31 to 24 computations (22.6% saved)

regimes139.0ms (0.3%)

Memory

42.7MiB live, 302.3MiB allocated

Counts

29 → 2

Calls

Call 1

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

Outputs

(*.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))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x)

Calls

13 calls:

17.0ms	t
14.0ms	x
13.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
11.0ms	(.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))))
11.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
59.4%	2	`x`
57.5%	1	`y`
57.5%	1	`z`
62.4%	2	`t`
59.4%	2	`(*.f64 x #s(literal 1/2 binary64))`
57.5%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
57.5%	1	`(*.f64 z #s(literal 2 binary64))`
62.4%	2	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
62.4%	2	`(*.f64 t t)`
63.2%	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))))`
57.5%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
57.5%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
62.4%	2	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes209.0ms (0.5%)

Memory

-10.5MiB live, 248.7MiB allocated

Counts

22 → 2

Calls

Call 1

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

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

Calls

13 calls:

118.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
12.0ms	(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
8.0ms	(*.f64 z #s(literal 2 binary64))
8.0ms	(*.f64 x #s(literal 1/2 binary64))
8.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
55.7%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
55.7%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
55.7%	1	`y`
55.7%	1	`z`
55.7%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
55.7%	1	`(*.f64 z #s(literal 2 binary64))`
55.7%	1	`x`
55.7%	1	`(*.f64 x #s(literal 1/2 binary64))`
55.7%	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))))`
55.7%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
57.5%	2	`t`
57.5%	2	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
57.5%	2	`(*.f64 t t)`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes49.0ms (0.1%)

Memory

4.3MiB live, 122.1MiB allocated

Counts

21 → 1

Calls

Call 1

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

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

Calls

6 calls:

12.0ms	(*.f64 t t)
8.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
7.0ms	t
7.0ms	(*.f64 z #s(literal 2 binary64))
7.0ms	z

Results

Accuracy	Segments	Branch
55.7%	1	`z`
55.7%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
55.7%	1	`(*.f64 z #s(literal 2 binary64))`
55.7%	1	`t`
55.7%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
55.7%	1	`(*.f64 t t)`

Compiler

Compiled 41 to 33 computations (19.5% saved)

regimes30.0ms (0.1%)

Memory

-29.2MiB live, 91.7MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y))

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

(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))

Outputs

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

(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y))

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

Calls

13 calls:

4.0ms	x
3.0ms	(*.f64 z #s(literal 2 binary64))
2.0ms	(/.f64 (*.f64 t t) #s(literal 2 binary64))
2.0ms	y
2.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
33.6%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
33.6%	1	`(*.f64 t t)`
33.6%	1	`t`
33.6%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
44.6%	3	`y`
47.0%	3	`x`
33.6%	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))))`
33.6%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
47.0%	3	`(*.f64 x #s(literal 1/2 binary64))`
33.6%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
33.6%	1	`z`
33.6%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
33.6%	1	`(*.f64 z #s(literal 2 binary64))`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes6.0ms (0%)

Memory

17.5MiB live, 17.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (neg.f64 y))

Outputs
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (neg.f64 y))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
33.6%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
33.6%	1	`y`
33.6%	1	`x`
33.6%	1	`(*.f64 x #s(literal 1/2 binary64))`

Compiler

Compiled 26 to 21 computations (19.2% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.003047682293054e+261	9.962053043346172e+263
0.0ms	2.6643973060020093e+58	1.572487690459383e+63

Compiler

Compiled 24 to 22 computations (8.3% saved)

bsearch50.0ms (0.1%)

Memory

-1.6MiB live, 37.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
49.0ms	1.6021109905995277e-55	8.075335828910535e-51

Samples

10.0ms

128×

valid

Compiler

Compiled 280 to 222 computations (20.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 3.0ms (46.3% of total)

ival-sub: 1.0ms (15.4% of total)

ival-div: 1.0ms (15.4% of total)

ival-exp: 1.0ms (15.4% of total)

ival-sqrt: 1.0ms (15.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch59.0ms (0.1%)

Memory

1.4MiB live, 43.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
57.0ms	2.211136792789265e+155	1.1441023336704127e+163

Samples

52.0ms

144×

valid

Compiler

Compiled 303 to 238 computations (21.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 44.0ms (91.9% of total)

ival-sub: 1.0ms (2.1% of total)

ival-div: 1.0ms (2.1% of total)

ival-exp: 1.0ms (2.1% of total)

ival-sqrt: 1.0ms (2.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.1483206064281844e+37	1.696282903363077e+42
0.0ms	-5093496912281376000.0	-610184246708748.5

Compiler

Compiled 24 to 22 computations (8.3% saved)

simplify16.0ms (0%)

Memory

6.0MiB live, 43.8MiB allocated

Algorithm

1×	egg-herbie

Rules

84×	`*-commutative_binary64`
20×	`sub-neg_binary64`
18×	`+-commutative_binary64`
16×	`neg-sub0_binary64`
16×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	340
1	142	340
2	161	340
3	177	340
4	189	340
5	193	340
6	194	340

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))
(.f64 (.f64 (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 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)))) (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)))) (fma.f64 (.f64 t t) (.f64 t (.f64 t (.f64 (*.f64 t t) #s(literal 1/48 binary64)))) #s(literal 1 binary64)))
(.f64 (.f64 (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 z #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 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 (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))))
(if (<=.f64 (.f64 t t) #s(literal 49999999999999998584394024780232100424968164183088578953216 binary64)) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (if (<=.f64 (.f64 t t) #s(literal 5000000000000000080864196475047917390480863560766234054837788814802707676501789421806676124822026821440952665165919815755816086233746458697662077001272823792217174549282301297790469616246499440354456781353533234380180747355509156821802718767934507722333315137536 binary64)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (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)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(if (<=.f64 (.f64 t t) #s(literal 1684996666696915/210624583337114373395836055367340864637790190801098222508621955072 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))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x))
(if (<=.f64 (.f64 t t) #s(literal 15000000000000000512533345514866116583053345305234300659908957640972248640239055414010190326983421975952668018400791097455139466034632398835961092881132814336 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (/.f64 y (neg.f64 x)) (.f64 x (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))))
(if (<=.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -5000000000000000000 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (.f64 z #s(literal 2 binary64))))) (if (<=.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 49999999999999998874404911728017014784 binary64)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (neg.f64 y)) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (.f64 z #s(literal 2 binary64)))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (neg.f64 y))

Outputs
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))
(.f64 (.f64 (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (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)))) (fma.f64 (.f64 t t) (.f64 t (.f64 t (.f64 (*.f64 t t) #s(literal 1/48 binary64)))) #s(literal 1 binary64)))
(.f64 (.f64 (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 z #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (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)))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (sqrt.f64 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)))))
(if (<=.f64 (.f64 t t) #s(literal 49999999999999998584394024780232100424968164183088578953216 binary64)) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (if (<=.f64 (.f64 t t) #s(literal 5000000000000000080864196475047917390480863560766234054837788814802707676501789421806676124822026821440952665165919815755816086233746458697662077001272823792217174549282301297790469616246499440354456781353533234380180747355509156821802718767934507722333315137536 binary64)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 t t) #s(literal 49999999999999998584394024780232100424968164183088578953216 binary64)) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (if (<=.f64 (.f64 t t) #s(literal 5000000000000000080864196475047917390480863560766234054837788814802707676501789421806676124822026821440952665165919815755816086233746458697662077001272823792217174549282301297790469616246499440354456781353533234380180747355509156821802718767934507722333315137536 binary64)) (.f64 (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)) (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)))) (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)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(if (<=.f64 (.f64 t t) #s(literal 1684996666696915/210624583337114373395836055367340864637790190801098222508621955072 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))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x))
(if (<=.f64 (.f64 t t) #s(literal 1684996666696915/210624583337114373395836055367340864637790190801098222508621955072 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 x (.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(if (<=.f64 (.f64 t t) #s(literal 15000000000000000512533345514866116583053345305234300659908957640972248640239055414010190326983421975952668018400791097455139466034632398835961092881132814336 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (/.f64 y (neg.f64 x)) (.f64 x (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(if (<=.f64 (.f64 t t) #s(literal 15000000000000000512533345514866116583053345305234300659908957640972248640239055414010190326983421975952668018400791097455139466034632398835961092881132814336 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (/.f64 y x) (.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 x))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(if (<=.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -5000000000000000000 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (.f64 z #s(literal 2 binary64))))) (if (<=.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 49999999999999998874404911728017014784 binary64)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (neg.f64 y)) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (.f64 z #s(literal 2 binary64)))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (neg.f64 y))

soundness2.0s (4.4%)

Memory

5.0MiB live, 1 271.5MiB allocated

Rules

18 894×	`accelerator-lowering-fma.f32`
18 894×	`accelerator-lowering-fma.f64`
13 246×	`accelerator-lowering-fma.f32`
13 246×	`accelerator-lowering-fma.f64`
7 626×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	245
1	214	207
2	1773	207
0	8464	201
0	41	226
1	233	226
2	2044	219
0	8261	202
0	15	45
1	54	44
2	276	44
3	2343	44
0	8606	44
0	136	2147
1	454	1668
2	1580	1575
3	4468	1572
0	8848	1560
0	522	8947
1	1666	8221
2	5693	7746
0	8043	7365
0	734	12291
1	2403	11593
2	5845	11254
0	8350	10823
0	41	233
1	200	215
2	1491	215
0	8414	211

Stop Event

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

Compiler

Compiled 1 054 to 592 computations (43.8% saved)

preprocess160.0ms (0.4%)

Memory: 2.8MiB live, 232.7MiB allocated
Remove: (abs t)
Compiler: Compiled 1 032 to 382 computations (63% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze407.0ms (0.9%)

sample25.9s (57.5%)

preprocess128.0ms (0.3%)

explain234.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify85.0ms (0.2%)

localize46.0ms (0.1%)

series20.0ms (0%)

rewrite364.0ms (0.8%)

simplify573.0ms (1.3%)

eval175.0ms (0.4%)

prune128.0ms (0.3%)

simplify293.0ms (0.6%)

localize405.0ms (0.9%)

series211.0ms (0.5%)

rewrite1.1s (2.5%)

simplify564.0ms (1.3%)

eval480.0ms (1.1%)

prune376.0ms (0.8%)

simplify831.0ms (1.8%)

localize275.0ms (0.6%)

series104.0ms (0.2%)

rewrite428.0ms (0.9%)

simplify506.0ms (1.1%)

eval413.0ms (0.9%)

prune327.0ms (0.7%)

simplify418.0ms (0.9%)

localize190.0ms (0.4%)

series74.0ms (0.2%)

rewrite982.0ms (2.2%)

simplify647.0ms (1.4%)

eval377.0ms (0.8%)

prune392.0ms (0.9%)

regimes451.0ms (1%)

regimes363.0ms (0.8%)

regimes393.0ms (0.9%)

regimes280.0ms (0.6%)

regimes2.1s (4.7%)

regimes250.0ms (0.6%)

regimes305.0ms (0.7%)

regimes441.0ms (1%)

regimes210.0ms (0.5%)

regimes63.0ms (0.1%)

regimes139.0ms (0.3%)

regimes209.0ms (0.5%)

regimes49.0ms (0.1%)

regimes30.0ms (0.1%)

regimes6.0ms (0%)

bsearch1.0ms (0%)

bsearch50.0ms (0.1%)

bsearch59.0ms (0.1%)

bsearch0.0ms (0%)

simplify16.0ms (0%)

soundness2.0s (4.4%)

preprocess160.0ms (0.4%)

end0.0ms (0%)

Profiling