Metrics for Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, B

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze72.0ms (0.9%)

Memory

8.0MiB live, 84.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
66.7%	49.9%	25%	0.1%	0%	25%	0%	7
66.7%	49.9%	25%	0.1%	0%	25%	0%	8
66.7%	49.9%	25%	0.1%	0%	25%	0%	9
80%	49.9%	12.5%	0.1%	0%	37.4%	0%	10
80%	49.9%	12.5%	0.1%	0%	37.4%	0%	11
80%	49.9%	12.5%	0.1%	0%	37.4%	0%	12

Compiler

Compiled 12 to 12 computations (0% saved)

sample1.4s (17.2%)

Memory

-4.1MiB live, 1 427.5MiB allocated

Samples

585.0ms	8 256×	0	valid
268.0ms	2 086×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 495.0ms

ival-mult: 227.0ms (45.9% of total)

ival-sqrt: 114.0ms (23% of total)

ival-div: 78.0ms (15.8% of total)

ival-add: 53.0ms (10.7% of total)

exact: 10.0ms (2% of total)

ival-true: 8.0ms (1.6% of total)

ival-assert: 5.0ms (1% of total)

Bogosity

explain121.0ms (1.5%)

Memory

-14.3MiB live, 141.5MiB allocated

FPErrors

Click to see full error table

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

38.0ms

512×

valid

Compiler

Compiled 77 to 34 computations (55.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 6.0ms (34.6% of total)

ival-sqrt: 4.0ms (23.1% of total)

ival-div: 3.0ms (17.3% of total)

ival-add: 3.0ms (17.3% of total)

exact: 1.0ms (5.8% of total)

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

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

preprocess71.0ms (0.9%)

Memory

25.8MiB live, 62.6MiB allocated

Algorithm

1×	egg-herbie

Rules

241×	`unsub-neg`
177×	`distribute-lft-neg-in`
156×	`cancel-sign-sub-inv`
135×	`distribute-rgt-in`
118×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	78
1	112	74
2	311	74
3	600	74
4	932	74
5	1348	74
6	1744	74
7	2055	74
8	2168	74
9	2252	74
10	2288	74
11	2292	74
12	2292	74
0	10	8
0	16	8
1	27	8
2	37	8
3	39	8
0	39	7

Stop Event

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

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify4.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y (sqrt.f64 z))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
cost-diff	128	(+.f64 x (*.f64 y (sqrt.f64 z)))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))

Rules

16×	`lower-*.f32`
14×	`lower-*.f64`
10×	`lower-fma.f64`
10×	`lower-fma.f32`
8×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
0	16	26
1	27	26
2	37	26
3	39	26
0	39	24

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize36.0ms (0.4%)

Memory

-17.8MiB live, 67.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x (*.f64 y (sqrt.f64 z)))
accuracy	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
accuracy	0	(sqrt.f64 z)
accuracy	0.2421875	(*.f64 y (sqrt.f64 z))

Samples

28.0ms

256×

valid

Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 8.0ms (41.4% of total)

ival-sqrt: 6.0ms (31% of total)

ival-mult: 3.0ms (15.5% of total)

ival-add: 1.0ms (5.2% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.2%)

Memory

-17.7MiB live, 20.2MiB allocated

Counts

5 → 108

Calls

Call 1

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

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

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(* (/ 1 2) (+ x (* y (sqrt z))))
1.0ms	z	@	-inf	(+ x (* y (sqrt z)))
0.0ms	x	@	0	(+ x (* y (sqrt z)))
0.0ms	z	@	0	(+ x (* y (sqrt z)))
0.0ms	z	@	inf	(+ x (* y (sqrt z)))

simplify157.0ms (2%)

Memory

30.4MiB live, 185.9MiB allocated

Algorithm

1×	egg-herbie

Rules

2 821×	`lower-fma.f64`
2 821×	`lower-fma.f32`
1 830×	`lower-*.f64`
1 830×	`lower-*.f32`
928×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	646
1	251	646
2	799	646
3	2309	622
4	5074	622
5	7547	622
0	8139	566

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 105

Calls

Call 1

Inputs
(* y (sqrt z))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(* x (+ 1 (* (/ y x) (sqrt z))))
(* x (+ 1 (* (/ y x) (sqrt z))))
x
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
x
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(* y (sqrt z))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (sqrt z) (/ x y)))
(* y (sqrt z))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(* y (sqrt z))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* 1/2 x)
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* 1/2 x)
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* 1/2 (* y (sqrt z)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* 1/2 (* y (sqrt z)))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (* y (sqrt z)))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))

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

rewrite268.0ms (3.3%)

Memory

-10.5MiB live, 279.1MiB allocated

Rules

3 730×	`lower-fma.f64`
3 730×	`lower-fma.f32`
2 149×	`lower-*.f32`
2 147×	`lower-*.f64`
2 111×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
0	16	21
1	41	21
2	234	21
3	2001	21
0	8162	19

Stop Event

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

Counts

5 → 272

Calls

Call 1

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

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

eval47.0ms (0.6%)

Memory: -4.0MiB live, 71.6MiB allocated
Compiler: Compiled 11 782 to 918 computations (92.2% saved)

prune86.0ms (1.1%)

Memory

-11.0MiB live, 109.3MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	368	9	377
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	369	9	378

Accuracy

100.0%

Counts

378 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.6%	(/.f64 (.f64 (-.f64 (.f64 (.f64 z y) y) (.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (sqrt.f64 z) y) x))
	56.4%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (sqrt.f64 z) y) x) (.f64 (-.f64 (.f64 (.f64 z y) y) (*.f64 x x)) #s(literal 1/2 binary64))))
	99.6%	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 z) y x)))
▶	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
	90.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 x (/.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))) (neg.f64 (.f64 (.f64 z y) (/.f64 y (-.f64 x (*.f64 (sqrt.f64 z) y)))))))
▶	99.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))))))
	50.9%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y))
▶	95.7%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)))
▶	50.6%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 292 to 188 computations (35.6% saved)

simplify313.0ms (3.9%)

Memory

19.9MiB live, 337.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))))))
cost-diff	128	(+.f64 x (.f64 y (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	2240	(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))
cost-diff	0	(.f64 (.f64 z y) y)
cost-diff	0	(-.f64 (.f64 (.f64 z y) y) (*.f64 x x))
cost-diff	0	(.f64 (-.f64 (.f64 (.f64 z y) y) (.f64 x x)) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (.f64 (-.f64 (.f64 (.f64 z y) y) (.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (sqrt.f64 z) y) x))
cost-diff	0	(*.f64 z y)
cost-diff	0	(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
cost-diff	0	(.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))
cost-diff	0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(fma.f64 (sqrt.f64 z) y x)
cost-diff	0	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))

Rules

16 290×	`lower-fma.f32`
16 288×	`lower-fma.f64`
1 482×	`lower-+.f32`
1 481×	`lower-+.f64`
1 380×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	206
0	59	182
1	108	182
2	165	182
3	275	182
4	421	182
5	654	182
6	1318	182
7	3347	182
8	4804	182
9	5330	182
10	5690	182
11	5753	182
12	5782	182
13	7510	182
0	8096	182

Stop Event

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

Calls

Call 1

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

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

localize123.0ms (1.5%)

Memory

-16.1MiB live, 145.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(sqrt.f64 z)
accuracy	0.140625	(sqrt.f64 (sqrt.f64 z))
accuracy	0.2421875	(.f64 y (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))))
accuracy	0.5693550293053261	(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))
accuracy	0.125	(.f64 (.f64 z y) y)
accuracy	0.2421875	(*.f64 (sqrt.f64 z) y)
accuracy	3.6484189224718526	(-.f64 (.f64 (.f64 z y) y) (*.f64 x x))
accuracy	27.2251839300875	(/.f64 (.f64 (-.f64 (.f64 (.f64 z y) y) (.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (sqrt.f64 z) y) x))
accuracy	0	(.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))
accuracy	0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)))
accuracy	0.10546875	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	2.739320780543993	(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	31.60240549298381	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
accuracy	0	(sqrt.f64 z)
accuracy	0.109375	(fma.f64 (sqrt.f64 z) y x)

Samples

87.0ms

256×

valid

Compiler

Compiled 204 to 34 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 50.0ms (72.6% of total)

ival-div: 5.0ms (7.3% of total)

ival-sqrt: 5.0ms (7.3% of total)

ival-add: 4.0ms (5.8% of total)

ival-sub: 3.0ms (4.4% of total)

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

exact: 0.0ms (0% of total)

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

series108.0ms (1.3%)

Memory

0.1MiB live, 78.2MiB allocated

Counts

21 → 552

Calls

Call 1

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

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

Calls

138 calls:

Time	Variable		Point	Expression
51.0ms	z	@	0	(sqrt (sqrt z))
6.0ms	z	@	inf	(sqrt (sqrt z))
3.0ms	y	@	inf	(* (- (* (* z y) y) (* x x)) 1/2)
1.0ms	y	@	0	(* z y)
1.0ms	z	@	-inf	(/ (* (- (* (* z y) y) (* x x)) 1/2) (- (* (sqrt z) y) x))

simplify245.0ms (3.1%)

Memory

15.3MiB live, 168.9MiB allocated

Algorithm

1×	egg-herbie

Rules

3 546×	`lower-fma.f64`
3 546×	`lower-fma.f32`
2 975×	`lower-*.f64`
2 975×	`lower-*.f32`
1 284×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	195	4191
1	634	4082
2	2502	3941
3	5830	3940
0	8718	3652

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 543

Calls

Call 1

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

rewrite405.0ms (5.1%)

Memory

7.0MiB live, 298.3MiB allocated

Rules

3 861×	`lower-fma.f32`
3 859×	`lower-fma.f64`
2 195×	`lower-*.f32`
2 185×	`lower-*.f64`
1 718×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	167
0	59	124
1	198	122
2	1118	119
0	9138	119

Stop Event

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

Counts

21 → 1 709

Calls

Call 1

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

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

eval420.0ms (5.2%)

Memory: 7.5MiB live, 621.5MiB allocated
Compiler: Compiled 73 797 to 3 621 computations (95.1% saved)

prune773.0ms (9.6%)

Memory

-28.2MiB live, 622.5MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	2 496	5	2 501
Fresh	3	1	4
Picked	2	3	5
Done	0	0	0
Total	2 501	9	2 510

Accuracy

100.0%

Counts

2 510 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	30.6%	(/.f64 #s(approx (* (- (* (* z y) y) (* x x)) 1/2) (.f64 (.f64 (.f64 z #s(literal 1/2 binary64)) y) y)) (-.f64 (.f64 (sqrt.f64 z) y) x))
▶	99.6%	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 z) y x)))
▶	99.7%	(*.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64))
▶	91.3%	(*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64))
✓	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
	99.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (/.f64 y (.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) z)))))
▶	50.9%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
✓	95.7%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)))
✓	50.6%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 194 to 132 computations (32% saved)

simplify191.0ms (2.4%)

Memory

34.2MiB live, 71.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 z #s(literal 1/2 binary64)) y)
cost-diff	0	(.f64 (.f64 (*.f64 z #s(literal 1/2 binary64)) y) y)
cost-diff	0	#s(approx (* (- (* (* z y) y) (* x x)) 1/2) (.f64 (.f64 (*.f64 z #s(literal 1/2 binary64)) y) y))
cost-diff	0	(/.f64 #s(approx (* (- (* (* z y) y) (* x x)) 1/2) (.f64 (.f64 (.f64 z #s(literal 1/2 binary64)) y) y)) (-.f64 (.f64 (sqrt.f64 z) y) x))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(fma.f64 (sqrt.f64 z) y x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 z) y x))
cost-diff	1088	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 z) y x)))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(/.f64 y (sqrt.f64 z))
cost-diff	0	(fma.f64 (/.f64 y (sqrt.f64 z)) z x)
cost-diff	0	(*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(*.f64 (sqrt.f64 z) y)
cost-diff	0	#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(/.f64 z (sqrt.f64 z))
cost-diff	0	(fma.f64 (/.f64 z (sqrt.f64 z)) y x)
cost-diff	0	(*.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64))

Rules

996×	`lower-fma.f32`
993×	`lower-fma.f64`
674×	`lower-*.f32`
668×	`lower-*.f64`
461×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	187
0	51	185
1	83	185
2	125	185
3	185	185
4	264	185
5	346	185
6	520	185
7	807	185
8	1661	185
9	3223	185
10	3630	185
11	3801	185
12	3837	185
13	3859	185
14	3904	185
15	4009	185
16	4109	185
17	4283	185
18	4326	185
19	4326	185
20	4326	185
21	4430	185
22	5096	185
0	5096	185

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize106.0ms (1.3%)

Memory

12.2MiB live, 118.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.125	(.f64 (.f64 (*.f64 z #s(literal 1/2 binary64)) y) y)
accuracy	0.2421875	(*.f64 (sqrt.f64 z) y)
accuracy	27.2251839300875	(/.f64 #s(approx (* (- (* (* z y) y) (* x x)) 1/2) (.f64 (.f64 (.f64 z #s(literal 1/2 binary64)) y) y)) (-.f64 (.f64 (sqrt.f64 z) y) x))
accuracy	29.28818545514204	#s(approx (* (- (* (* z y) y) (* x x)) 1/2) (.f64 (.f64 (*.f64 z #s(literal 1/2 binary64)) y) y))
accuracy	0	(sqrt.f64 z)
accuracy	0.109375	(fma.f64 (sqrt.f64 z) y x)
accuracy	0.21875	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 z) y x)))
accuracy	0.3383152049552415	(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 z) y x))
accuracy	0	(*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64))
accuracy	0	(sqrt.f64 z)
accuracy	0.21875	(/.f64 y (sqrt.f64 z))
accuracy	5.509291995986223	(fma.f64 (/.f64 y (sqrt.f64 z)) z x)
accuracy	0	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
accuracy	0	(sqrt.f64 z)
accuracy	0.2421875	(*.f64 (sqrt.f64 z) y)
accuracy	31.341718246832393	#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))
accuracy	0	(*.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64))
accuracy	0	(sqrt.f64 z)
accuracy	0.109375	(fma.f64 (/.f64 z (sqrt.f64 z)) y x)
accuracy	0.5390625	(/.f64 z (sqrt.f64 z))

Samples

65.0ms

256×

valid

Compiler

Compiled 172 to 31 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 31.0ms (65.5% of total)

ival-div: 8.0ms (16.9% of total)

ival-add: 3.0ms (6.3% of total)

ival-sub: 2.0ms (4.2% of total)

ival-sqrt: 2.0ms (4.2% of total)

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

exact: 0.0ms (0% of total)

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

series41.0ms (0.5%)

Memory

-3.3MiB live, 42.2MiB allocated

Counts

17 → 516

Calls

Call 1

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

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

Calls

129 calls:

Time	Variable		Point	Expression
14.0ms	z	@	-inf	(/ y (sqrt z))
1.0ms	z	@	-inf	(/ z (sqrt z))
1.0ms	y	@	0	(/ y (sqrt z))
1.0ms	z	@	-inf	(* (+ (* (/ z (sqrt z)) y) x) 1/2)
1.0ms	z	@	-inf	(/ 1 (+ (* (sqrt z) y) x))

simplify200.0ms (2.5%)

Memory

-3.9MiB live, 223.1MiB allocated

Algorithm

1×	egg-herbie

Rules

3 764×	`lower-fma.f64`
3 764×	`lower-fma.f32`
2 685×	`lower-*.f64`
2 685×	`lower-*.f32`
1 265×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	346	4831
1	1132	4691
2	3797	4527
0	8283	4284

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 504

Calls

Call 1

Inputs
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (* y (sqrt z)))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* 1/2 (* y (sqrt z)))
(* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))
(* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))
(* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))
(* 1/2 x)
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* 1/2 (* y (sqrt z)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* 1/2 (* y (sqrt z)))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* 1/2 x)
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(* y (sqrt z))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* y (sqrt z))
(* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x z)))))
x
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(* y (sqrt z))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (sqrt z) (/ x y)))
(* y (sqrt z))
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(* 1/2 (* (pow y 2) z))
(* 1/2 (* (pow y 2) z))
(* 1/2 (* (pow y 2) z))
(* 1/2 (* (pow y 2) z))
(* 1/2 (* (pow y 2) z))
(* 1/2 (* (pow y 2) z))
(* 1/2 (* (pow y 2) z))
(* 1/2 (* (pow y 2) z))
(* 1/2 (* (pow y 2) z))
(* 1/2 (* (pow y 2) z))
(* 1/2 (* (pow y 2) z))
(* 1/2 (* (pow y 2) z))
(* 1/2 (* (pow y 2) z))
(* 1/2 (* (pow y 2) z))
(* 1/2 (* (pow y 2) z))
(* 1/2 (* (pow y 2) z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))

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

rewrite256.0ms (3.2%)

Memory

17.2MiB live, 332.5MiB allocated

Rules

4 744×	`lower-fma.f32`
4 742×	`lower-fma.f64`
2 524×	`lower-*.f32`
2 518×	`lower-*.f64`
1 577×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	146
0	51	150
1	172	150
2	922	134
0	9531	134

Stop Event

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

Counts

17 → 1 249

Calls

Call 1

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

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

eval263.0ms (3.3%)

Memory: 2.2MiB live, 527.6MiB allocated
Compiler: Compiled 42 069 to 2 652 computations (93.7% saved)

prune287.0ms (3.6%)

Memory

-27.3MiB live, 367.9MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	2 015	5	2 020
Fresh	1	0	1
Picked	4	1	5
Done	1	2	3
Total	2 021	8	2 029

Accuracy

100.0%

Counts

2 029 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
▶	47.9%	(.f64 #s(approx (+ ( (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64))
▶	50.8%	(.f64 #s(approx (+ ( (sqrt z) y) x) (/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64))
▶	50.8%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (/.f64 z (sqrt.f64 z)) y)) #s(literal 1/2 binary64))
▶	45.1%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64))
▶	47.8%	(.f64 #s(approx (+ ( (sqrt z) y) x) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (.f64 y z))) #s(literal 1/2 binary64))
✓	50.9%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
✓	50.6%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 151 to 105 computations (30.5% saved)

simplify8.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
cost-diff	0	#s(approx (+ (* (sqrt z) y) x) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (.f64 y z)))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt z) y) x) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (.f64 y z))) #s(literal 1/2 binary64))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (.f64 y z))
cost-diff	0	(*.f64 y z)
cost-diff	0	(/.f64 (*.f64 y z) (sqrt.f64 z))
cost-diff	0	#s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z)))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 z (sqrt.f64 z))
cost-diff	0	(*.f64 (/.f64 z (sqrt.f64 z)) y)
cost-diff	0	#s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 z (sqrt.f64 z)) y))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (/.f64 z (sqrt.f64 z)) y)) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 y (sqrt.f64 z))
cost-diff	0	(*.f64 (/.f64 y (sqrt.f64 z)) z)
cost-diff	0	#s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
cost-diff	0	#s(approx (+ (* (sqrt z) y) x) (/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt z) y) x) (/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64))
cost-diff	1088	(/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))

Rules

36×	`lower-*.f32`
30×	`lower-*.f64`
17×	`*-commutative`
15×	`lower-/.f32`
13×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	225
0	43	219
1	63	213
2	80	213
3	113	213
4	133	213
5	140	213
0	140	203

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize104.0ms (1.3%)

Memory

16.4MiB live, 92.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(sqrt.f64 z)
accuracy	0.20703125	(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
accuracy	6.562354105867146	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (.f64 y z))
accuracy	31.341718246832393	#s(approx (+ (* (sqrt z) y) x) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (.f64 y z)))
accuracy	0	(*.f64 y z)
accuracy	0	(sqrt.f64 z)
accuracy	6.5818716244191355	(/.f64 (*.f64 y z) (sqrt.f64 z))
accuracy	31.341718246832393	#s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z)))
accuracy	0	(sqrt.f64 z)
accuracy	0.2421875	(*.f64 (/.f64 z (sqrt.f64 z)) y)
accuracy	0.5390625	(/.f64 z (sqrt.f64 z))
accuracy	31.341718246832393	#s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 z (sqrt.f64 z)) y))
accuracy	0	(sqrt.f64 z)
accuracy	0.21875	(/.f64 y (sqrt.f64 z))
accuracy	6.877628216042545	(*.f64 (/.f64 y (sqrt.f64 z)) z)
accuracy	31.341718246832393	#s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z))
accuracy	0	(sqrt.f64 z)
accuracy	0.20703125	(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
accuracy	0.25390625	(/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
accuracy	31.341718246832393	#s(approx (+ (* (sqrt z) y) x) (/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))

Samples

37.0ms

256×

valid

Compiler

Compiled 153 to 20 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 9.0ms (44.5% of total)

ival-div: 7.0ms (34.6% of total)

ival-sqrt: 2.0ms (9.9% of total)

ival-add: 1.0ms (4.9% of total)

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

exact: 0.0ms (0% of total)

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

series26.0ms (0.3%)

Memory

-25.9MiB live, 29.8MiB allocated

Counts

20 → 564

Calls

Call 1

Inputs
#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( (sqrt z) y) x) (/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (+ ( (sqrt z) y) x) (/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (sqrt z) y) x) (/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (patch #s(approx (+ (* (sqrt z) y) x) (/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( (sqrt z) y) x) (.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (sqrt z) y) x) (.f64 (/.f64 y (sqrt.f64 z)) z)) (patch #s(approx (+ ( (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 y (sqrt.f64 z)) z) (patch (.f64 (/.f64 y (sqrt.f64 z)) z) #<representation binary64>) () ())
#s(alt (/.f64 y (sqrt.f64 z)) (patch (/.f64 y (sqrt.f64 z)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( (sqrt z) y) x) (.f64 (/.f64 z (sqrt.f64 z)) y)) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 z (sqrt.f64 z)) y)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (sqrt z) y) x) (.f64 (/.f64 z (sqrt.f64 z)) y)) (patch #s(approx (+ ( (sqrt z) y) x) (*.f64 (/.f64 z (sqrt.f64 z)) y)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 z (sqrt.f64 z)) y) (patch (.f64 (/.f64 z (sqrt.f64 z)) y) #<representation binary64>) () ())
#s(alt (/.f64 z (sqrt.f64 z)) (patch (/.f64 z (sqrt.f64 z)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( (sqrt z) y) x) (/.f64 (.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (sqrt z) y) x) (/.f64 (.f64 y z) (sqrt.f64 z))) (patch #s(approx (+ ( (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 y z) (sqrt.f64 z)) (patch (/.f64 (.f64 y z) (sqrt.f64 z)) #<representation binary64>) () ())
#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (.f64 y z)) (patch (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (.f64 y z)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( (sqrt z) y) x) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (.f64 y z))) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (+ ( (sqrt z) y) x) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (.f64 y z))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (sqrt z) y) x) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (.f64 y z))) (patch #s(approx (+ (* (sqrt z) y) x) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (.f64 y z))) #<representation binary64>) () ())
#s(alt (sqrt.f64 z) (patch (sqrt.f64 z) #<representation binary64>) () ())

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

Calls

141 calls:

Time	Variable		Point	Expression
0.0ms	z	@	-inf	(* (/ y (sqrt z)) z)
0.0ms	z	@	-inf	(/ 1 (sqrt z))
0.0ms	z	@	-inf	(/ y (/ 1 (sqrt z)))
0.0ms	z	@	-inf	(/ (* y z) (sqrt z))
0.0ms	z	@	inf	(/ (* y z) (sqrt z))

simplify182.0ms (2.3%)

Memory

8.7MiB live, 161.9MiB allocated

Algorithm

1×	egg-herbie

Rules

2 821×	`lower-fma.f64`
2 821×	`lower-fma.f32`
1 830×	`lower-*.f64`
1 830×	`lower-*.f32`
928×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	3422
1	253	3422
2	797	3422
3	2293	3302
4	5068	3302
5	7545	3302
0	8135	3022

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 549

Calls

Call 1

Inputs
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (* y (sqrt z)))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* 1/2 x)
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* 1/2 (* y (sqrt z)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* 1/2 (* y (sqrt z)))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* 1/2 x)
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(* y (sqrt z))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
x
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(* y (sqrt z))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (sqrt z) (/ x y)))
(* y (sqrt z))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* y (sqrt z))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(* x (+ 1 (* (/ y x) (sqrt z))))
(* x (+ 1 (* (/ y x) (sqrt z))))
x
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (* y (sqrt z)))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* 1/2 x)
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* 1/2 (* y (sqrt z)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* 1/2 (* y (sqrt z)))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* 1/2 x)
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(* y (sqrt z))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
x
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(* y (sqrt z))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (sqrt z) (/ x y)))
(* y (sqrt z))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* y (sqrt z))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(* x (+ 1 (* (/ y x) (sqrt z))))
(* x (+ 1 (* (/ y x) (sqrt z))))
x
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
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(* y (sqrt (/ 1 z)))
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(* y (sqrt (/ 1 z)))
(* 1/2 (+ x (* y (sqrt z))))
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(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* 1/2 x)
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* 1/2 (* y (sqrt z)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* 1/2 (* y (sqrt z)))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* 1/2 x)
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(+ x (* y (sqrt z)))
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(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(* y (sqrt z))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
x
(+ x (* y (sqrt z)))
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(+ x (* y (sqrt z)))
(* y (sqrt z))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (sqrt z) (/ x y)))
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(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* y (sqrt z))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
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x
(* x (+ 1 (* (/ y x) (sqrt z))))
(* x (+ 1 (* (/ y x) (sqrt z))))
(* x (+ 1 (* (/ y x) (sqrt z))))
x
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* y (sqrt z))
(* y (sqrt z))
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(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
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(sqrt z)
(sqrt z)
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(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
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(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
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(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
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(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
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(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
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(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
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(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
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(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
x
(+ x (* y (sqrt z)))
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(* y (+ (sqrt z) (/ x y)))
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(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* y (sqrt z))
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x
(* x (+ 1 (* (/ y x) (sqrt z))))
(* x (+ 1 (* (/ y x) (sqrt z))))
(* x (+ 1 (* (/ y x) (sqrt z))))
x
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
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(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (* y (sqrt z)))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* 1/2 x)
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(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* 1/2 (* y (sqrt z)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* 1/2 (* y (sqrt z)))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* 1/2 x)
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(* y (sqrt z))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
x
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(* y (sqrt z))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (sqrt z) (/ x y)))
(* y (sqrt z))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* y (sqrt z))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(* x (+ 1 (* (/ y x) (sqrt z))))
(* x (+ 1 (* (/ y x) (sqrt z))))
x
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))

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

rewrite185.0ms (2.3%)

Memory

15.6MiB live, 242.0MiB allocated

Rules

1 940×	`lower-fma.f64`
1 940×	`lower-fma.f32`
1 864×	`lower-/.f32`
1 859×	`lower-/.f64`
1 543×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	193
0	43	189
1	105	158
2	417	154
3	3256	154
0	8411	144

Stop Event

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

Counts

20 → 815

Calls

Call 1

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

Outputs
(*.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 (neg.f64 (sqrt.f64 z)))))
(*.f64 (exp.f64 (log.f64 y)) (sqrt.f64 z))
(.f64 (.f64 (*.f64 (neg.f64 z) y) #s(literal -1 binary64)) (/.f64 (sqrt.f64 z) z))
(.f64 (.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 z)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 z))))
(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
(.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(.f64 (/.f64 (.f64 z y) (sqrt.f64 (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 z))))
(*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 z)))) (sqrt.f64 (sqrt.f64 z)))
(*.f64 (/.f64 y (sqrt.f64 (sqrt.f64 z))) (/.f64 z (sqrt.f64 (sqrt.f64 z))))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 (sqrt.f64 z)))
(*.f64 (/.f64 z (sqrt.f64 (sqrt.f64 z))) (/.f64 y (sqrt.f64 (sqrt.f64 z))))
(.f64 (.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal -1 binary64))
(*.f64 (/.f64 (neg.f64 y) (sqrt.f64 z)) (neg.f64 z))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 z))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 z))) (*.f64 z y)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 z))) (/.f64 (.f64 z y) (sqrt.f64 (sqrt.f64 z))))
(.f64 (sqrt.f64 (sqrt.f64 z)) (.f64 (sqrt.f64 (sqrt.f64 z)) y))
(.f64 (.f64 (neg.f64 z) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(*.f64 (neg.f64 z) (/.f64 (neg.f64 y) (sqrt.f64 z)))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (.f64 (neg.f64 z) y))
(*.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (sqrt.f64 z)))
(.f64 (.f64 z y) (/.f64 (sqrt.f64 z) z))
(*.f64 (/.f64 y (sqrt.f64 z)) z)
(.f64 (.f64 (sqrt.f64 z) y) #s(literal 1 binary64))
(.f64 (/.f64 (sqrt.f64 z) z) (.f64 z y))
(*.f64 (sqrt.f64 z) (exp.f64 (log.f64 y)))
(*.f64 (sqrt.f64 z) y)
(*.f64 z (/.f64 y (sqrt.f64 z)))
(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 z) y))
(*.f64 y (sqrt.f64 z))
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(/.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))) (sqrt.f64 #s(literal -1 binary64)))
(/.f64 (sqrt.f64 (neg.f64 (sqrt.f64 z))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z))))
(/.f64 (sqrt.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))) (sqrt.f64 #s(literal -1 binary64)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 (sqrt.f64 z) z))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (/.f64 (sqrt.f64 z) z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))))
(/.f64 (exp.f64 (log.f64 (neg.f64 (sqrt.f64 z)))) (exp.f64 (log.f64 #s(literal -1 binary64))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (neg.f64 (log.f64 (neg.f64 (sqrt.f64 z))))))
(/.f64 (*.f64 (neg.f64 z) #s(literal -1 binary64)) (sqrt.f64 z))
(/.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 z)))))
(/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (neg.f64 (sqrt.f64 z)))
(/.f64 (/.f64 z (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
(/.f64 (sqrt.f64 (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 z))))
(/.f64 (neg.f64 z) (neg.f64 (sqrt.f64 z)))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (neg.f64 (/.f64 #s(literal 1 binary64) z)))
(/.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(/.f64 (/.f64 (sqrt.f64 z) z) (/.f64 #s(literal 1 binary64) z))
(/.f64 (sqrt.f64 z) #s(literal 1 binary64))
(/.f64 z (sqrt.f64 z))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) z))
(neg.f64 (neg.f64 (sqrt.f64 z)))
(sqrt.f64 (/.f64 (*.f64 z z) z))
(sqrt.f64 z)
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) z)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 z)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 z)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 z)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 z)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) z)))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 z)))
(fabs.f64 (neg.f64 (sqrt.f64 z)))
(fabs.f64 (sqrt.f64 z))
(exp.f64 (.f64 (log.f64 (.f64 z z)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 z)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))

eval253.0ms (3.2%)

Memory: 22.3MiB live, 403.0MiB allocated
Compiler: Compiled 23 655 to 2 400 computations (89.9% saved)

prune171.0ms (2.1%)

Memory

15.2MiB live, 372.0MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	1 882	0	1 882
Fresh	0	0	0
Picked	0	5	5
Done	0	3	3
Total	1 882	8	1 890

Accuracy

100.0%

Counts

1 890 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
✓	47.9%	(.f64 #s(approx (+ ( (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64))
✓	50.8%	(.f64 #s(approx (+ ( (sqrt z) y) x) (/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64))
✓	50.8%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (/.f64 z (sqrt.f64 z)) y)) #s(literal 1/2 binary64))
✓	45.1%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64))
✓	47.8%	(.f64 #s(approx (+ ( (sqrt z) y) x) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (.f64 y z))) #s(literal 1/2 binary64))
✓	50.9%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
✓	50.6%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 322 to 133 computations (58.7% saved)

regimes100.0ms (1.2%)

Memory

0.6MiB live, 77.2MiB allocated

Counts

20 → 1

Calls

Call 1

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

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

Calls

7 calls:

58.0ms	(sqrt.f64 z)
11.0ms	z
6.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
6.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
6.0ms	x

Results

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

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes21.0ms (0.3%)

Memory

-29.0MiB live, 32.8MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

7 calls:

9.0ms	(*.f64 y (sqrt.f64 z))
2.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
2.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
2.0ms	(sqrt.f64 z)
2.0ms	z

Results

Accuracy	Segments	Branch
79.4%	3	`x`
73.3%	3	`y`
59.9%	2	`z`
63.1%	5	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
63.1%	5	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
72.6%	3	`(*.f64 y (sqrt.f64 z))`
59.9%	2	`(sqrt.f64 z)`

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes34.0ms (0.4%)

Memory

-13.3MiB live, 24.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

25.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
1.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
1.0ms	(*.f64 y (sqrt.f64 z))
1.0ms	z
1.0ms	(sqrt.f64 z)

Results

Accuracy	Segments	Branch
50.6%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
50.6%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
50.6%	1	`z`
50.6%	1	`(sqrt.f64 z)`
50.6%	1	`(*.f64 y (sqrt.f64 z))`
50.6%	1	`y`
50.6%	1	`x`

Compiler

Compiled 46 to 34 computations (26.1% saved)

bsearch262.0ms (3.3%)

Memory

-2.6MiB live, 36.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
253.0ms	5.52316872325175e-51	3.4008374813851406e-43
7.0ms	-8.641802399254271e+40	-3.163734136255878e+40

Samples

252.0ms

224×

valid

Compiler

Compiled 282 to 212 computations (24.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 3.0ms (41.6% of total)

ival-div: 2.0ms (27.7% of total)

ival-sqrt: 2.0ms (27.7% of total)

ival-add: 1.0ms (13.9% of total)

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

exact: 0.0ms (0% of total)

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

simplify7.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
1×	`1-exp_binary64`
1×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	66
1	32	66

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x #s(literal -31999999999999998070693323891301714755584 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 x #s(literal 4268429180062943/12554203470773361527671578846415332832204710888928069025792 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))))

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

Outputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))
(if (<=.f64 x #s(literal -31999999999999998070693323891301714755584 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 x #s(literal 4268429180062943/12554203470773361527671578846415332832204710888928069025792 binary64)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

soundness601.0ms (7.5%)

Memory

4.3MiB live, 202.6MiB allocated

Rules

3 730×	`lower-fma.f64`
3 730×	`lower-fma.f32`
2 821×	`lower-fma.f64`
2 821×	`lower-fma.f32`
2 149×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	646
1	251	646
2	799	646
3	2309	622
4	5074	622
5	7547	622
0	8139	566
0	10	21
0	16	21
1	41	21
2	234	21
3	2001	21
0	8162	19

Stop Event

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

Compiler

Compiled 97 to 48 computations (50.5% saved)

preprocess74.0ms (0.9%)

Memory: 16.9MiB live, 58.5MiB allocated
Compiler: Compiled 100 to 52 computations (48% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze72.0ms (0.9%)

sample1.4s (17.2%)

explain121.0ms (1.5%)

preprocess71.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize36.0ms (0.4%)

series12.0ms (0.2%)

simplify157.0ms (2%)

rewrite268.0ms (3.3%)

eval47.0ms (0.6%)

prune86.0ms (1.1%)

simplify313.0ms (3.9%)

localize123.0ms (1.5%)

series108.0ms (1.3%)

simplify245.0ms (3.1%)

rewrite405.0ms (5.1%)

eval420.0ms (5.2%)

prune773.0ms (9.6%)

simplify191.0ms (2.4%)

localize106.0ms (1.3%)

series41.0ms (0.5%)

simplify200.0ms (2.5%)

rewrite256.0ms (3.2%)

eval263.0ms (3.3%)

prune287.0ms (3.6%)

simplify8.0ms (0.1%)

localize104.0ms (1.3%)

series26.0ms (0.3%)

simplify182.0ms (2.3%)

rewrite185.0ms (2.3%)

eval253.0ms (3.2%)

prune171.0ms (2.1%)

regimes100.0ms (1.2%)

regimes21.0ms (0.3%)

regimes34.0ms (0.4%)

bsearch262.0ms (3.3%)

simplify7.0ms (0.1%)

soundness601.0ms (7.5%)

preprocess74.0ms (0.9%)

end0.0ms (0%)

Profiling