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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze48.0ms (0.6%)

Memory

7.1MiB live, 82.8MiB 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)

sample1.1s (13.1%)

Memory

27.5MiB live, 1 532.3MiB allocated

Samples

560.0ms	8 256×	0	valid
155.0ms	2 118×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 425.0ms

ival-mult: 156.0ms (36.7% of total)

ival-add: 89.0ms (20.9% of total)

ival-sqrt: 87.0ms (20.4% of total)

ival-div: 72.0ms (16.9% of total)

exact: 9.0ms (2.1% of total)

ival-true: 8.0ms (1.9% of total)

ival-assert: 4.0ms (0.9% of total)

Bogosity

explain161.0ms (2%)

Memory

-17.8MiB 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

34.0ms

512×

valid

Compiler

Compiled 77 to 34 computations (55.8% saved)

Precisions

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

ival-mult: 6.0ms (33.4% of total)

ival-sqrt: 5.0ms (27.8% of total)

ival-div: 3.0ms (16.7% of total)

ival-add: 3.0ms (16.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess77.0ms (0.9%)

Memory

10.8MiB live, 49.5MiB allocated

Algorithm

1×	egg-herbie

Rules

482×	`unsub-neg`
354×	`distribute-lft-neg-in`
312×	`cancel-sign-sub-inv`
270×	`distribute-rgt-in`
236×	`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 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))

Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(.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)

simplify5.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB 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

32×	`lower-*.f32`
28×	`lower-*.f64`
20×	`lower-fma.f64`
20×	`lower-fma.f32`
16×	`*-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 #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 (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
x
(*.f64 y (sqrt.f64 z))
y
(sqrt.f64 z)
z

localize27.0ms (0.3%)

Memory

9.8MiB live, 47.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
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	0.00390625	(+.f64 x (*.f64 y (sqrt.f64 z)))
accuracy	0.24609375	(*.f64 y (sqrt.f64 z))

Samples

17.0ms

256×

valid

Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 3.0ms (35.7% of total)

ival-div: 2.0ms (23.8% of total)

ival-sqrt: 2.0ms (23.8% of total)

ival-add: 1.0ms (11.9% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Memory

-22.6MiB live, 18.0MiB 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
7.0ms	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	(* (/ 1 2) (+ x (* y (sqrt z))))

simplify191.0ms (2.4%)

Memory

11.9MiB live, 217.0MiB allocated

Algorithm

1×	egg-herbie

Rules

5 642×	`lower-fma.f64`
5 642×	`lower-fma.f32`
3 660×	`lower-*.f64`
3 660×	`lower-*.f32`
1 856×	`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 y (sqrt.f64 z))
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(fma.f64 y (sqrt.f64 z) x)
(* x (+ 1 (* (/ y x) (sqrt z))))
(fma.f64 y (sqrt.f64 z) x)
(* x (+ 1 (* (/ y x) (sqrt z))))
(fma.f64 y (sqrt.f64 z) x)
x
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(fma.f64 y (sqrt.f64 z) x)
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(fma.f64 y (sqrt.f64 z) x)
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(fma.f64 y (sqrt.f64 z) x)
x
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (+ (sqrt z) (/ x y)))
(fma.f64 y (sqrt.f64 z) x)
(* y (+ (sqrt z) (/ x y)))
(fma.f64 y (sqrt.f64 z) x)
(* y (+ (sqrt z) (/ x y)))
(fma.f64 y (sqrt.f64 z) x)
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(fma.f64 y (sqrt.f64 z) x)
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(fma.f64 y (sqrt.f64 z) x)
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(fma.f64 y (sqrt.f64 z) x)
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x)
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x)
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x)
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(*.f64 y (sqrt.f64 z))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x)
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x)
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x)
(* 1/2 (* y (sqrt z)))
(.f64 y (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(*.f64 (fma.f64 y (sqrt.f64 z) 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 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(*.f64 (fma.f64 y (sqrt.f64 z) 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 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(*.f64 (fma.f64 y (sqrt.f64 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 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(* 1/2 (* y (sqrt z)))
(.f64 y (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(* 1/2 (* y (sqrt z)))
(.f64 y (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(* 1/2 (+ x (* y (sqrt z))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(* 1/2 (+ x (* y (sqrt z))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(* 1/2 (+ x (* y (sqrt z))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(* 1/2 (+ x (* y (sqrt z))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(* 1/2 (* y (sqrt z)))
(.f64 y (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 y z) x) #s(literal 1/2 binary64))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 y z) x) #s(literal 1/2 binary64))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 y z) x) #s(literal 1/2 binary64))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(.f64 y (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 y 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 y 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 y z) x) #s(literal 1/2 binary64))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(*.f64 y (sqrt.f64 z))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(*.f64 y (sqrt.f64 z))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(*.f64 y (sqrt.f64 z))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(*.f64 y (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)

rewrite280.0ms (3.5%)

Memory

10.0MiB live, 439.7MiB allocated

Rules

7 460×	`lower-fma.f64`
7 460×	`lower-fma.f32`
4 298×	`lower-*.f32`
4 294×	`lower-*.f64`
4 222×	`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 x (*.f64 y (sqrt.f64 z)))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y (sqrt.f64 z)))) (neg.f64 (/.f64 (.f64 y (.f64 y z)) (-.f64 x (*.f64 y (sqrt.f64 z))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y (sqrt.f64 z)))) (/.f64 (.f64 y (.f64 y z)) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(-.f64 (/.f64 (.f64 y (.f64 y z)) (-.f64 (.f64 y (sqrt.f64 z)) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 y (sqrt.f64 z)) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 x (.f64 y (sqrt.f64 z))))) (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y z))) (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 z))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (-.f64 (.f64 x (.f64 x x)) (.f64 (sqrt.f64 z) (.f64 y (.f64 y (.f64 y z)))))) (fma.f64 x (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 y (.f64 y z)))) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y z)) (.f64 (.f64 y (.f64 y z)) (.f64 y (.f64 y z)))) (-.f64 (.f64 x (.f64 x x)) (.f64 (sqrt.f64 z) (.f64 y (.f64 y (.f64 y z)))))) (fma.f64 x (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 y (*.f64 y z)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y z)) (fma.f64 x x (.f64 y (.f64 y z)))))) (-.f64 x (.f64 y (sqrt.f64 z)))) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y z)) (.f64 (.f64 y (.f64 y z)) (.f64 y (.f64 y z)))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y z)) (fma.f64 x x (.f64 y (.f64 y z)))))) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x (.f64 y (.f64 y z)))) (-.f64 x (.f64 y (sqrt.f64 z)))) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y z)) (.f64 y (.f64 y z))) (fma.f64 x x (.f64 y (.f64 y z)))) (-.f64 x (.f64 y (sqrt.f64 z)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 y (.f64 y z))))) (/.f64 (fma.f64 x (.f64 x x) (.f64 (sqrt.f64 z) (.f64 y (.f64 y (.f64 y z))))) (neg.f64 (fma.f64 x (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 y (*.f64 y z))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 y (.f64 y z))) (-.f64 (.f64 x (.f64 x x)) (.f64 (sqrt.f64 z) (.f64 y (.f64 y (.f64 y z))))))) (/.f64 (.f64 (.f64 y (.f64 y z)) (.f64 (.f64 y (.f64 y z)) (.f64 y (.f64 y z)))) (.f64 (fma.f64 x (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 y (.f64 y z))) (-.f64 (.f64 x (.f64 x x)) (.f64 (sqrt.f64 z) (.f64 y (.f64 y (*.f64 y z))))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y z)) (fma.f64 x x (.f64 y (.f64 y z))))))) (/.f64 (.f64 (.f64 y (.f64 y z)) (.f64 (.f64 y (.f64 y z)) (.f64 y (.f64 y z)))) (.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y z)) (fma.f64 x x (.f64 y (*.f64 y z))))))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (fma.f64 x x (.f64 y (.f64 y z))))) (/.f64 (.f64 (.f64 y (.f64 y z)) (.f64 y (.f64 y z))) (.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (fma.f64 x x (.f64 y (.f64 y z))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (-.f64 x (.f64 y (sqrt.f64 z)))) (.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (-.f64 x (.f64 y (sqrt.f64 z))))) (/.f64 (.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 y (.f64 y z))) (.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (-.f64 x (*.f64 y (sqrt.f64 z))))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y (sqrt.f64 z)))) (.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y (sqrt.f64 z)))) (/.f64 (.f64 x x) (-.f64 x (.f64 y (sqrt.f64 z)))))) (fma.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y (sqrt.f64 z)))) (/.f64 (.f64 x x) (-.f64 x (.f64 y (sqrt.f64 z)))) (fma.f64 (/.f64 (.f64 y (.f64 y z)) (-.f64 x (.f64 y (sqrt.f64 z)))) (/.f64 (.f64 y (.f64 y z)) (-.f64 x (.f64 y (sqrt.f64 z)))) (.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y (sqrt.f64 z)))) (/.f64 (.f64 y (.f64 y z)) (-.f64 x (.f64 y (sqrt.f64 z)))))))) (/.f64 (.f64 (/.f64 (.f64 y (.f64 y z)) (-.f64 x (.f64 y (sqrt.f64 z)))) (.f64 (/.f64 (.f64 y (.f64 y z)) (-.f64 x (.f64 y (sqrt.f64 z)))) (/.f64 (.f64 y (.f64 y z)) (-.f64 x (.f64 y (sqrt.f64 z)))))) (fma.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y (sqrt.f64 z)))) (/.f64 (.f64 x x) (-.f64 x (.f64 y (sqrt.f64 z)))) (fma.f64 (/.f64 (.f64 y (.f64 y z)) (-.f64 x (.f64 y (sqrt.f64 z)))) (/.f64 (.f64 y (.f64 y z)) (-.f64 x (.f64 y (sqrt.f64 z)))) (.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y (sqrt.f64 z)))) (/.f64 (.f64 y (.f64 y z)) (-.f64 x (*.f64 y (sqrt.f64 z)))))))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y (sqrt.f64 z)))) (/.f64 (.f64 x x) (-.f64 x (.f64 y (sqrt.f64 z))))) (fma.f64 x (/.f64 x (-.f64 x (.f64 y (sqrt.f64 z)))) (/.f64 (.f64 y (.f64 y z)) (-.f64 x (.f64 y (sqrt.f64 z)))))) (/.f64 (.f64 (/.f64 (.f64 y (.f64 y z)) (-.f64 x (.f64 y (sqrt.f64 z)))) (/.f64 (.f64 y (.f64 y z)) (-.f64 x (.f64 y (sqrt.f64 z))))) (fma.f64 x (/.f64 x (-.f64 x (.f64 y (sqrt.f64 z)))) (/.f64 (.f64 y (.f64 y z)) (-.f64 x (.f64 y (sqrt.f64 z)))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (-.f64 x (.f64 y (sqrt.f64 z)))) (neg.f64 (/.f64 (.f64 y (.f64 y z)) (-.f64 x (*.f64 y (sqrt.f64 z))))))
(fma.f64 x (/.f64 x (-.f64 x (.f64 y (sqrt.f64 z)))) (neg.f64 (/.f64 (.f64 y (.f64 y z)) (-.f64 x (.f64 y (sqrt.f64 z))))))
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 (sqrt.f64 z) y x)
(fma.f64 (sqrt.f64 z) (pow.f64 y #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 z) (exp.f64 (log.f64 y)) x)
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 y (sqrt.f64 z)))) (neg.f64 (/.f64 (.f64 y (.f64 y z)) (-.f64 x (*.f64 y (sqrt.f64 z))))))
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x)
(fma.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (.f64 y (sqrt.f64 z))))) (neg.f64 (/.f64 (.f64 y (.f64 y z)) (-.f64 x (*.f64 y (sqrt.f64 z))))))
(fma.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)) x)
(fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 y (.f64 y z)))) (fma.f64 y (sqrt.f64 z) x) (neg.f64 (/.f64 (.f64 y (.f64 y z)) (-.f64 x (*.f64 y (sqrt.f64 z))))))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x x)) (.f64 (sqrt.f64 z) (.f64 y (.f64 y (.f64 y z)))))) (fma.f64 y (fma.f64 y z (.f64 x (sqrt.f64 z))) (.f64 x x)) (neg.f64 (/.f64 (.f64 y (.f64 y z)) (-.f64 x (.f64 y (sqrt.f64 z))))))
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (sqrt.f64 z) x)
(fma.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)) x)
(fma.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)) x)
(fma.f64 (exp.f64 (log.f64 y)) (sqrt.f64 z) x)
(neg.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 (sqrt.f64 z) (.f64 y (.f64 y (.f64 y z))))) (neg.f64 (fma.f64 x (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 y (.f64 y z))))))
(neg.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y z))) (neg.f64 (-.f64 x (.f64 y (sqrt.f64 z))))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 y (*.f64 y z)))) (fma.f64 y (sqrt.f64 z) x)))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (-.f64 x (*.f64 y (sqrt.f64 z)))) (fma.f64 y (sqrt.f64 z) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 x (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 y (.f64 y z))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 (sqrt.f64 z) (.f64 y (.f64 y (.f64 y z)))) (-.f64 (.f64 (sqrt.f64 z) (.f64 y (.f64 y (.f64 y z)))) (.f64 x (.f64 x x)))))) (fma.f64 (.f64 (sqrt.f64 z) (.f64 y (.f64 y (.f64 y z)))) (.f64 (.f64 y (.f64 y z)) (.f64 (.f64 y (.f64 y z)) (.f64 y (.f64 y z)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 x (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 y (.f64 y z))) (-.f64 (.f64 x (.f64 x x)) (.f64 (sqrt.f64 z) (.f64 y (.f64 y (.f64 y z)))))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y z)) (.f64 (.f64 y (.f64 y z)) (.f64 y (*.f64 y z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y z)) (fma.f64 x x (.f64 y (.f64 y z)))))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y z)) (.f64 (.f64 y (.f64 y z)) (.f64 y (.f64 y z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (fma.f64 x x (.f64 y (.f64 y z)))) (.f64 (fma.f64 x x (.f64 y (.f64 y z))) (-.f64 (.f64 x x) (.f64 y (.f64 y z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (-.f64 x (.f64 y (sqrt.f64 z)))) (-.f64 (.f64 (.f64 x x) (-.f64 x (.f64 y (sqrt.f64 z)))) (.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 y (.f64 y z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 (sqrt.f64 z) (.f64 y (.f64 y (.f64 y z)))) (-.f64 (.f64 (sqrt.f64 z) (.f64 y (.f64 y (.f64 y z)))) (.f64 x (.f64 x x))))) (fma.f64 x (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 y (.f64 y z)))) (.f64 (fma.f64 (.f64 (sqrt.f64 z) (.f64 y (.f64 y (.f64 y z)))) (.f64 (.f64 y (.f64 y z)) (.f64 (.f64 y (.f64 y z)) (.f64 y (.f64 y z)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (sqrt.f64 z) (.f64 y (.f64 y (.f64 y z))))) (fma.f64 x (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 y (.f64 y z)))) (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y z)) (.f64 (.f64 y (.f64 y z)) (.f64 y (.f64 y z))))) #s(literal 1 binary64))))
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(pow.f64 z #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64))
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 z))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 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 (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 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))
(*.f64 (sqrt.f64 (pow.f64 z #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 z #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 z #s(literal 1/4 binary64))))

eval42.0ms (0.5%)

Memory: -3.8MiB live, 110.7MiB allocated
Compiler: Compiled 11 782 to 906 computations (92.3% saved)

prune122.0ms (1.5%)

Memory

-17.8MiB live, 132.4MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	365	12	377
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	366	12	378

Accuracy

100.0%

Counts

378 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal 1/2 binary64) x))
	53.8%	(/.f64 (.f64 (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 y (sqrt.f64 z)) x))
▶	53.6%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y (sqrt.f64 z)) x) (.f64 (-.f64 (.f64 y (.f64 y z)) (*.f64 x x)) #s(literal 1/2 binary64))))
▶	99.5%	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x)))
▶	99.7%	(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
	99.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (*.f64 (sqrt.f64 (pow.f64 z #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 z #s(literal 1/4 binary64)))))))
	99.5%	(.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))))))
	52.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y (sqrt.f64 z)))) (/.f64 (.f64 x x) (-.f64 x (.f64 y (sqrt.f64 z))))) (.f64 (/.f64 (.f64 y (.f64 y z)) (-.f64 x (.f64 y (sqrt.f64 z)))) (/.f64 (.f64 y (.f64 y z)) (-.f64 x (.f64 y (sqrt.f64 z)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (-.f64 x (.f64 y (sqrt.f64 z)))) (/.f64 (.f64 y (.f64 y z)) (-.f64 x (.f64 y (sqrt.f64 z))))))))
▶	99.7%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
	91.4%	#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)))
	56.3%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 y (.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))
▶	44.7%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(literal 1/2 binary64)))

Compiler

Compiled 486 to 268 computations (44.9% saved)

simplify259.0ms (3.2%)

Memory

-11.8MiB live, 104.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y (sqrt.f64 z))
cost-diff	0	(-.f64 (*.f64 y (sqrt.f64 z)) x)
cost-diff	0	(/.f64 (-.f64 (.f64 y (sqrt.f64 z)) x) (.f64 (-.f64 (.f64 y (.f64 y z)) (*.f64 x x)) #s(literal 1/2 binary64)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y (sqrt.f64 z)) x) (.f64 (-.f64 (.f64 y (.f64 y z)) (*.f64 x x)) #s(literal 1/2 binary64))))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(fma.f64 y (sqrt.f64 z) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))
cost-diff	1088	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x)))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(fma.f64 y (sqrt.f64 z) x)
cost-diff	0	(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(literal 1/2 binary64)))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(*.f64 y (sqrt.f64 z))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
cost-diff	128	(+.f64 x (*.f64 y (sqrt.f64 z)))

Rules

4 024×	`lower-fma.f32`
4 022×	`lower-fma.f64`
2 824×	`lower-*.f32`
2 808×	`lower-*.f64`
1 706×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	173
0	45	168
1	75	168
2	134	166
3	282	166
4	773	166
5	1560	166
6	2993	166
7	5021	166
8	6091	166
9	6709	166
10	6856	166
11	6885	166
12	7229	166
13	7352	166
14	7587	166
0	8103	166

Stop Event

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

Calls

Call 1

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

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

localize131.0ms (1.6%)

Memory

4.7MiB live, 80.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.24609375	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y (sqrt.f64 z)) x) (.f64 (-.f64 (.f64 y (.f64 y z)) (*.f64 x x)) #s(literal 1/2 binary64))))
accuracy	0.24609375	(*.f64 y (sqrt.f64 z))
accuracy	3.792952236641647	(-.f64 (.f64 y (.f64 y z)) (*.f64 x x))
accuracy	29.30645538708274	(/.f64 (-.f64 (.f64 y (sqrt.f64 z)) x) (.f64 (-.f64 (.f64 y (.f64 y z)) (*.f64 x x)) #s(literal 1/2 binary64)))
accuracy	0	(sqrt.f64 z)
accuracy	0.1640625	(fma.f64 y (sqrt.f64 z) x)
accuracy	0.24609375	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x)))
accuracy	0.5667926062498614	(/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))
accuracy	0	(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
accuracy	0	(sqrt.f64 z)
accuracy	0.1640625	(fma.f64 y (sqrt.f64 z) x)
accuracy	0	(*.f64 x #s(literal 1/2 binary64))
accuracy	35.41425263412672	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(literal 1/2 binary64)))
accuracy	0	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
accuracy	0	(sqrt.f64 z)
accuracy	0.00390625	(+.f64 x (*.f64 y (sqrt.f64 z)))
accuracy	0.24609375	(*.f64 y (sqrt.f64 z))

Samples

45.0ms

256×

valid

Compiler

Compiled 178 to 27 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 13.0ms (47.4% of total)

ival-div: 7.0ms (25.5% of total)

ival-sub: 2.0ms (7.3% of total)

ival-add: 2.0ms (7.3% of total)

ival-sqrt: 2.0ms (7.3% of total)

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

exact: 0.0ms (0% of total)

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

series87.0ms (1.1%)

Memory

14.5MiB live, 56.7MiB allocated

Counts

14 → 444

Calls

Call 1

Inputs
#s(alt (+.f64 x (.f64 y (sqrt.f64 z))) (patch (+.f64 x (.f64 y (sqrt.f64 z))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z)))) (patch (.f64 #s(literal 1/2 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>) () ())
#s(alt #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 x #s(literal 1/2 binary64))) (patch #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/2 binary64)) (patch (.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64)) (patch (.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 y (sqrt.f64 z) x) (patch (fma.f64 y (sqrt.f64 z) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y (sqrt.f64 z)) x) (.f64 (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #s(literal 1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y (sqrt.f64 z)) x) (.f64 (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (.f64 y (sqrt.f64 z)) x) (.f64 (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #s(literal 1/2 binary64))) (patch (/.f64 (-.f64 (.f64 y (sqrt.f64 z)) x) (.f64 (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 y (sqrt.f64 z)) x) (patch (-.f64 (.f64 y (sqrt.f64 z)) x) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) (patch (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #<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>) () ())) ())
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#s(alt (/ (+ 2 (+ (* -2 (* (/ y x) (sqrt z))) (+ (* -2 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3)))) (* 2 (/ (* (pow y 2) z) (pow x 2)))))) x) (taylor inf x) (#s(alt (/.f64 (-.f64 (.f64 y (sqrt.f64 z)) x) (.f64 (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #s(literal 1/2 binary64))) (patch (/.f64 (-.f64 (.f64 y (sqrt.f64 z)) x) (.f64 (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (/.f64 (-.f64 (.f64 y (sqrt.f64 z)) x) (.f64 (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #s(literal 1/2 binary64))) (patch (/.f64 (-.f64 (.f64 y (sqrt.f64 z)) x) (.f64 (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 2 (* (/ y x) (sqrt z))) 2) x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (.f64 y (sqrt.f64 z)) x) (.f64 (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #s(literal 1/2 binary64))) (patch (/.f64 (-.f64 (.f64 y (sqrt.f64 z)) x) (.f64 (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -2 (* y (sqrt z))) (* 2 (/ (* (pow y 2) z) x))) x)) 2) x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (.f64 y (sqrt.f64 z)) x) (.f64 (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #s(literal 1/2 binary64))) (patch (/.f64 (-.f64 (.f64 y (sqrt.f64 z)) x) (.f64 (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -2 (* y (sqrt z))) (* -1 (/ (+ (* -2 (* (pow y 2) z)) (* 2 (* (/ (pow y 3) x) (sqrt (pow z 3))))) x))) x)) 2) x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (.f64 y (sqrt.f64 z)) x) (.f64 (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #s(literal 1/2 binary64))) (patch (/.f64 (-.f64 (.f64 y (sqrt.f64 z)) x) (.f64 (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt (-.f64 (.f64 y (sqrt.f64 z)) x) (patch (-.f64 (.f64 y (sqrt.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (- (* y (sqrt z)) x) (taylor 0 y) (#s(alt (-.f64 (.f64 y (sqrt.f64 z)) x) (patch (-.f64 (.f64 y (sqrt.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (- (* y (sqrt z)) x) (taylor 0 y) (#s(alt (-.f64 (.f64 y (sqrt.f64 z)) x) (patch (-.f64 (.f64 y (sqrt.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (- (* y (sqrt z)) x) (taylor 0 y) (#s(alt (-.f64 (.f64 y (sqrt.f64 z)) x) (patch (-.f64 (.f64 y (sqrt.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* y (sqrt z)) (taylor inf y) (#s(alt (-.f64 (.f64 y (sqrt.f64 z)) x) (patch (-.f64 (.f64 y (sqrt.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ (sqrt z) (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 (.f64 y (sqrt.f64 z)) x) (patch (-.f64 (.f64 y (sqrt.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ (sqrt z) (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 (.f64 y (sqrt.f64 z)) x) (patch (-.f64 (.f64 y (sqrt.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ (sqrt z) (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 (.f64 y (sqrt.f64 z)) x) (patch (-.f64 (.f64 y (sqrt.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* y (sqrt z)) (taylor -inf y) (#s(alt (-.f64 (.f64 y (sqrt.f64 z)) x) (patch (-.f64 (.f64 y (sqrt.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (sqrt z)) (/ x y)))) (taylor -inf y) (#s(alt (-.f64 (.f64 y (sqrt.f64 z)) x) (patch (-.f64 (.f64 y (sqrt.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (sqrt z)) (/ x y)))) (taylor -inf y) (#s(alt (-.f64 (.f64 y (sqrt.f64 z)) x) (patch (-.f64 (.f64 y (sqrt.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (sqrt z)) (/ x y)))) (taylor -inf y) (#s(alt (-.f64 (.f64 y (sqrt.f64 z)) x) (patch (-.f64 (.f64 y (sqrt.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (- (* y (sqrt z)) x) (taylor 0 z) (#s(alt (-.f64 (.f64 y (sqrt.f64 z)) x) (patch (-.f64 (.f64 y (sqrt.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (- (* y (sqrt z)) x) (taylor 0 z) (#s(alt (-.f64 (.f64 y (sqrt.f64 z)) x) (patch (-.f64 (.f64 y (sqrt.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (- (* y (sqrt z)) x) (taylor 0 z) (#s(alt (-.f64 (.f64 y (sqrt.f64 z)) x) (patch (-.f64 (.f64 y (sqrt.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (- (* y (sqrt z)) x) (taylor 0 z) (#s(alt (-.f64 (.f64 y (sqrt.f64 z)) x) (patch (-.f64 (.f64 y (sqrt.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* y (sqrt z)) (taylor inf z) (#s(alt (-.f64 (.f64 y (sqrt.f64 z)) x) (patch (-.f64 (.f64 y (sqrt.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x z)) (* y (sqrt (/ 1 z))))) (taylor inf z) (#s(alt (-.f64 (.f64 y (sqrt.f64 z)) x) (patch (-.f64 (.f64 y (sqrt.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x z)) (* y (sqrt (/ 1 z))))) (taylor inf z) (#s(alt (-.f64 (.f64 y (sqrt.f64 z)) x) (patch (-.f64 (.f64 y (sqrt.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x z)) (* y (sqrt (/ 1 z))))) (taylor inf z) (#s(alt (-.f64 (.f64 y (sqrt.f64 z)) x) (patch (-.f64 (.f64 y (sqrt.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) (taylor -inf z) (#s(alt (-.f64 (.f64 y (sqrt.f64 z)) x) (patch (-.f64 (.f64 y (sqrt.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z)))) (taylor -inf z) (#s(alt (-.f64 (.f64 y (sqrt.f64 z)) x) (patch (-.f64 (.f64 y (sqrt.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z)))) (taylor -inf z) (#s(alt (-.f64 (.f64 y (sqrt.f64 z)) x) (patch (-.f64 (.f64 y (sqrt.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z)))) (taylor -inf z) (#s(alt (-.f64 (.f64 y (sqrt.f64 z)) x) (patch (-.f64 (.f64 y (sqrt.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* y (sqrt z)) (taylor 0 x) (#s(alt (-.f64 (.f64 y (sqrt.f64 z)) x) (patch (-.f64 (.f64 y (sqrt.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (* y (sqrt z))) (taylor 0 x) (#s(alt (-.f64 (.f64 y (sqrt.f64 z)) x) (patch (-.f64 (.f64 y (sqrt.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (* y (sqrt z))) (taylor 0 x) (#s(alt (-.f64 (.f64 y (sqrt.f64 z)) x) (patch (-.f64 (.f64 y (sqrt.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (* y (sqrt z))) (taylor 0 x) (#s(alt (-.f64 (.f64 y (sqrt.f64 z)) x) (patch (-.f64 (.f64 y (sqrt.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 (.f64 y (sqrt.f64 z)) x) (patch (-.f64 (.f64 y (sqrt.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* (/ y x) (sqrt z)) 1)) (taylor inf x) (#s(alt (-.f64 (.f64 y (sqrt.f64 z)) x) (patch (-.f64 (.f64 y (sqrt.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* (/ y x) (sqrt z)) 1)) (taylor inf x) (#s(alt (-.f64 (.f64 y (sqrt.f64 z)) x) (patch (-.f64 (.f64 y (sqrt.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* (/ y x) (sqrt z)) 1)) (taylor inf x) (#s(alt (-.f64 (.f64 y (sqrt.f64 z)) x) (patch (-.f64 (.f64 y (sqrt.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 (.f64 y (sqrt.f64 z)) x) (patch (-.f64 (.f64 y (sqrt.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (* (/ y x) (sqrt z)))))) (taylor -inf x) (#s(alt (-.f64 (.f64 y (sqrt.f64 z)) x) (patch (-.f64 (.f64 y (sqrt.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (* (/ y x) (sqrt z)))))) (taylor -inf x) (#s(alt (-.f64 (.f64 y (sqrt.f64 z)) x) (patch (-.f64 (.f64 y (sqrt.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (* (/ y x) (sqrt z)))))) (taylor -inf x) (#s(alt (-.f64 (.f64 y (sqrt.f64 z)) x) (patch (-.f64 (.f64 y (sqrt.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor 0 y) (#s(alt (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) (patch (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow y 2) z) (pow x 2)) (taylor 0 y) (#s(alt (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) (patch (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow y 2) z) (pow x 2)) (taylor 0 y) (#s(alt (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) (patch (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow y 2) z) (pow x 2)) (taylor 0 y) (#s(alt (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) (patch (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) z) (taylor inf y) (#s(alt (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) (patch (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ z (* -1 (/ (pow x 2) (pow y 2))))) (taylor inf y) (#s(alt (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) (patch (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ z (* -1 (/ (pow x 2) (pow y 2))))) (taylor inf y) (#s(alt (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) (patch (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ z (* -1 (/ (pow x 2) (pow y 2))))) (taylor inf y) (#s(alt (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) (patch (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) z) (taylor -inf y) (#s(alt (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) (patch (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ z (* -1 (/ (pow x 2) (pow y 2))))) (taylor -inf y) (#s(alt (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) (patch (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ z (* -1 (/ (pow x 2) (pow y 2))))) (taylor -inf y) (#s(alt (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) (patch (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ z (* -1 (/ (pow x 2) (pow y 2))))) (taylor -inf y) (#s(alt (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) (patch (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor 0 z) (#s(alt (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) (patch (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow y 2) z) (pow x 2)) (taylor 0 z) (#s(alt (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) (patch (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow y 2) z) (pow x 2)) (taylor 0 z) (#s(alt (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) (patch (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow y 2) z) (pow x 2)) (taylor 0 z) (#s(alt (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) (patch (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) z) (taylor inf z) (#s(alt (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) (patch (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ (pow x 2) z)) (pow y 2))) (taylor inf z) (#s(alt (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) (patch (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ (pow x 2) z)) (pow y 2))) (taylor inf z) (#s(alt (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) (patch (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ (pow x 2) z)) (pow y 2))) (taylor inf z) (#s(alt (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) (patch (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) z) (taylor -inf z) (#s(alt (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) (patch (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (pow y 2)) (/ (pow x 2) z)))) (taylor -inf z) (#s(alt (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) (patch (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (pow y 2)) (/ (pow x 2) z)))) (taylor -inf z) (#s(alt (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) (patch (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (pow y 2)) (/ (pow x 2) z)))) (taylor -inf z) (#s(alt (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) (patch (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) z) (taylor 0 x) (#s(alt (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) (patch (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x 2)) (* (pow y 2) z)) (taylor 0 x) (#s(alt (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) (patch (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x 2)) (* (pow y 2) z)) (taylor 0 x) (#s(alt (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) (patch (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x 2)) (* (pow y 2) z)) (taylor 0 x) (#s(alt (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) (patch (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) (patch (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ (* (pow y 2) z) (pow x 2)) 1)) (taylor inf x) (#s(alt (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) (patch (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ (* (pow y 2) z) (pow x 2)) 1)) (taylor inf x) (#s(alt (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) (patch (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ (* (pow y 2) z) (pow x 2)) 1)) (taylor inf x) (#s(alt (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) (patch (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) (patch (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ (* (pow y 2) z) (pow x 2)) 1)) (taylor -inf x) (#s(alt (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) (patch (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ (* (pow y 2) z) (pow x 2)) 1)) (taylor -inf x) (#s(alt (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) (patch (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ (* (pow y 2) z) (pow x 2)) 1)) (taylor -inf x) (#s(alt (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) (patch (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #<representation binary64>) () ())) ())

Calls

111 calls:

Time	Variable		Point	Expression
51.0ms	z	@	inf	(/ (- (* y (sqrt z)) x) (* (- (* y (* y z)) (* x x)) 1/2))
3.0ms	y	@	0	(/ (- (* y (sqrt z)) x) (* (- (* y (* y z)) (* x x)) 1/2))
2.0ms	z	@	inf	(/ 1 (+ (* y (sqrt z)) x))
1.0ms	z	@	-inf	(/ 1 (/ (- (* y (sqrt z)) x) (* (- (* y (* y z)) (* x x)) 1/2)))
1.0ms	z	@	inf	(/ 1 (/ (- (* y (sqrt z)) x) (* (- (* y (* y z)) (* x x)) 1/2)))

simplify527.0ms (6.5%)

Memory

-19.2MiB live, 299.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 210×	`lower-fma.f64`
7 210×	`lower-fma.f32`
6 158×	`lower-*.f64`
6 158×	`lower-*.f32`
2 212×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	530	5230
1	1725	4971
2	5881	4840
0	8223	4607

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 438

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

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

rewrite766.0ms (9.4%)

Memory

30.6MiB live, 340.5MiB allocated

Rules

10 928×	`lower-fma.f32`
10 926×	`lower-fma.f64`
5 622×	`lower-*.f32`
5 606×	`lower-*.f64`
3 374×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	116
0	45	98
1	142	98
2	937	87
0	9290	87

Stop Event

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

Counts

14 → 1 646

Calls

Call 1

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

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

eval378.0ms (4.7%)

Memory: 22.1MiB live, 629.7MiB allocated
Compiler: Compiled 73 025 to 4 176 computations (94.3% saved)

prune290.0ms (3.6%)

Memory

-34.3MiB live, 666.3MiB allocated

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	2 364	8	2 372
Fresh	6	1	7
Picked	2	3	5
Done	0	0	0
Total	2 372	12	2 384

Accuracy

100.0%

Counts

2 384 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.8%	(/.f64 (.f64 (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 y (sqrt.f64 z)) x))
	56.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* y (sqrt z)) x) (* (- (* y (* y z)) (* x x)) 1/2)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 2 binary64) y))))
	56.3%	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (sqrt z)) x) (*.f64 y (sqrt.f64 z)))))
	49.2%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ 1 (+ (* y (sqrt z)) x)) (/.f64 (-.f64 (/.f64 (sqrt.f64 z) y) (/.f64 x (*.f64 y y))) z)))
▶	56.2%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ 1 (+ (* y (sqrt z)) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)))
✓	99.7%	(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
▶	91.4%	(.f64 #s(approx (+ ( y (sqrt z)) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x)) #s(literal 1/2 binary64))
	90.6%	(.f64 #s(approx (+ ( y (sqrt z)) x) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))) #s(literal 1/2 binary64))
▶	56.3%	(.f64 #s(approx (+ ( y (sqrt z)) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
✓	99.7%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
▶	87.1%	#s(approx (/ 1 (/ (- (* y (sqrt z)) x) (* (- (* y (* y z)) (* x x)) 1/2))) (.f64 x (fma.f64 (sqrt.f64 z) (/.f64 (.f64 y #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64))))
✓	44.7%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(literal 1/2 binary64)))

Compiler

Compiled 290 to 194 computations (33.1% saved)

simplify328.0ms (4%)

Memory

4.4MiB live, 346.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 y (.f64 y z))
cost-diff	0	(-.f64 (.f64 y (.f64 y z)) (*.f64 x x))
cost-diff	0	(.f64 (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (.f64 (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 y (sqrt.f64 z)) x))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
cost-diff	0	(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
cost-diff	0	#s(approx (/ 1 (+ (* y (sqrt z)) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) #s(approx (/ 1 (+ (* y (sqrt z)) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(fma.f64 (sqrt.f64 z) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ 1 (/ (- (* y (sqrt z)) x) (* (- (* y (* y z)) (* x x)) 1/2))) (.f64 x (fma.f64 (sqrt.f64 z) (/.f64 (.f64 y #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64))))
cost-diff	1024	(.f64 x (fma.f64 (sqrt.f64 z) (/.f64 (.f64 y #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64)))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(*.f64 y (sqrt.f64 z))
cost-diff	0	#s(approx (+ (* y (sqrt z)) x) (*.f64 y (sqrt.f64 z)))
cost-diff	0	(.f64 #s(approx (+ ( y (sqrt z)) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
cost-diff	0	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x)
cost-diff	0	#s(approx (+ (* y (sqrt z)) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x))
cost-diff	0	(.f64 #s(approx (+ ( y (sqrt z)) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x)) #s(literal 1/2 binary64))

Rules

11 022×	`lower-fma.f32`
11 018×	`lower-fma.f64`
4 734×	`lower-*.f32`
4 716×	`lower-*.f64`
2 112×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	271
0	63	273
1	107	273
2	191	269
3	421	267
4	1028	263
5	2091	263
6	4289	263
7	7925	263
0	8196	255

Stop Event

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

Calls

Call 1

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

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

localize145.0ms (1.8%)

Memory

-1.3MiB live, 195.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.11328125	(.f64 y (.f64 y z))
accuracy	0.24609375	(*.f64 y (sqrt.f64 z))
accuracy	3.792952236641647	(-.f64 (.f64 y (.f64 y z)) (*.f64 x x))
accuracy	29.04793442453727	(/.f64 (.f64 (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 y (sqrt.f64 z)) x))
accuracy	0.13671875	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	0.24609375	(/.f64 #s(literal 1/2 binary64) #s(approx (/ 1 (+ (* y (sqrt z)) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)))
accuracy	0.26171875	(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
accuracy	27.81795087006633	#s(approx (/ 1 (+ (* y (sqrt z)) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))
accuracy	0	(sqrt.f64 z)
accuracy	0	#s(approx (/ 1 (/ (- (* y (sqrt z)) x) (* (- (* y (* y z)) (* x x)) 1/2))) (.f64 x (fma.f64 (sqrt.f64 z) (/.f64 (.f64 y #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64))))
accuracy	2.1961944058339333	(fma.f64 (sqrt.f64 z) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64))
accuracy	5.99893550635058	(.f64 x (fma.f64 (sqrt.f64 z) (/.f64 (.f64 y #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64)))
accuracy	0	(.f64 #s(approx (+ ( y (sqrt z)) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
accuracy	0	(sqrt.f64 z)
accuracy	0.24609375	(*.f64 y (sqrt.f64 z))
accuracy	27.806265384768633	#s(approx (+ (* y (sqrt z)) x) (*.f64 y (sqrt.f64 z)))
accuracy	0	(*.f64 y z)
accuracy	0	#s(approx (+ (* y (sqrt z)) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x))
accuracy	0.13671875	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	5.479263446287203	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x)

Samples

78.0ms

256×

valid

Compiler

Compiled 220 to 32 computations (85.5% saved)

Precisions

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

ival-sqrt: 25.0ms (43% of total)

ival-mult: 14.0ms (24.1% of total)

ival-div: 12.0ms (20.6% of total)

ival-add: 3.0ms (5.2% of total)

ival-sub: 2.0ms (3.4% of total)

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

exact: 0.0ms (0% of total)

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

series39.0ms (0.5%)

Memory

4.7MiB live, 82.5MiB allocated

Counts

19 → 588

Calls

Call 1

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

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

Calls

147 calls:

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

simplify297.0ms (3.7%)

Memory

20.6MiB live, 450.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 400×	`lower-fma.f64`
8 400×	`lower-fma.f32`
5 924×	`lower-*.f64`
5 924×	`lower-*.f32`
2 634×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	382	5992
1	1259	5701
2	4166	5502
0	9017	5221

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 579

Calls

Call 1

Inputs
(* 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 (* 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)
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(* 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 (/ (pow x 2) (- (* y (sqrt z)) x)))
(+ (* -1/2 (/ (pow x 2) (- (* y (sqrt z)) x))) (* 1/2 (/ (* (pow y 2) z) (- (* y (sqrt z)) x))))
(+ (* -1/2 (/ (pow x 2) (- (* y (sqrt z)) x))) (* 1/2 (/ (* (pow y 2) z) (- (* y (sqrt z)) x))))
(+ (* -1/2 (/ (pow x 2) (- (* y (sqrt z)) x))) (* 1/2 (/ (* (pow y 2) z) (- (* y (sqrt z)) x))))
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z))))
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (+ (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) (* (pow y 2) (pow z 2)))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))))
(* -1/2 (* y (sqrt z)))
(+ (* -1/2 (* y (sqrt z))) (* -1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)))
(+ (* -1 (/ (+ (* -1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt (/ 1 z)))) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt z))) (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt 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 (pow x 2))
(+ (* -1/2 (pow x 2)) (* 1/2 (* (pow y 2) z)))
(+ (* -1/2 (pow x 2)) (* 1/2 (* (pow y 2) z)))
(+ (* -1/2 (pow x 2)) (* 1/2 (* (pow y 2) z)))
(* 1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/2 z)))
(* (pow y 2) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/2 z)))
(* (pow y 2) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/2 z)))
(* 1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/2 z)))
(* (pow y 2) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/2 z)))
(* (pow y 2) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/2 z)))
(* -1/2 (pow x 2))
(+ (* -1/2 (pow x 2)) (* 1/2 (* (pow y 2) z)))
(+ (* -1/2 (pow x 2)) (* 1/2 (* (pow y 2) z)))
(+ (* -1/2 (pow x 2)) (* 1/2 (* (pow y 2) z)))
(* 1/2 (* (pow y 2) z))
(* z (+ (* -1/2 (/ (pow x 2) z)) (* 1/2 (pow y 2))))
(* z (+ (* -1/2 (/ (pow x 2) z)) (* 1/2 (pow y 2))))
(* z (+ (* -1/2 (/ (pow x 2) z)) (* 1/2 (pow y 2))))
(* 1/2 (* (pow y 2) z))
(* -1 (* z (+ (* -1/2 (pow y 2)) (* 1/2 (/ (pow x 2) z)))))
(* -1 (* z (+ (* -1/2 (pow y 2)) (* 1/2 (/ (pow x 2) z)))))
(* -1 (* z (+ (* -1/2 (pow y 2)) (* 1/2 (/ (pow x 2) z)))))
(* 1/2 (* (pow y 2) z))
(+ (* -1/2 (pow x 2)) (* 1/2 (* (pow y 2) z)))
(+ (* -1/2 (pow x 2)) (* 1/2 (* (pow y 2) z)))
(+ (* -1/2 (pow x 2)) (* 1/2 (* (pow y 2) z)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ (* (pow y 2) z) (pow x 2))) 1/2))
(* (pow x 2) (- (* 1/2 (/ (* (pow y 2) z) (pow x 2))) 1/2))
(* (pow x 2) (- (* 1/2 (/ (* (pow y 2) z) (pow x 2))) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ (* (pow y 2) z) (pow x 2))) 1/2))
(* (pow x 2) (- (* 1/2 (/ (* (pow y 2) z) (pow x 2))) 1/2))
(* (pow x 2) (- (* 1/2 (/ (* (pow y 2) z) (pow x 2))) 1/2))
(* -1 (pow x 2))
(- (* (pow y 2) z) (pow x 2))
(- (* (pow y 2) z) (pow x 2))
(- (* (pow y 2) z) (pow x 2))
(* (pow y 2) z)
(* (pow y 2) (+ z (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ z (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ z (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) z)
(* (pow y 2) (+ z (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ z (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ z (* -1 (/ (pow x 2) (pow y 2)))))
(* -1 (pow x 2))
(- (* (pow y 2) z) (pow x 2))
(- (* (pow y 2) z) (pow x 2))
(- (* (pow y 2) z) (pow x 2))
(* (pow y 2) z)
(* z (+ (* -1 (/ (pow x 2) z)) (pow y 2)))
(* z (+ (* -1 (/ (pow x 2) z)) (pow y 2)))
(* z (+ (* -1 (/ (pow x 2) z)) (pow y 2)))
(* (pow y 2) z)
(* -1 (* z (+ (* -1 (pow y 2)) (/ (pow x 2) z))))
(* -1 (* z (+ (* -1 (pow y 2)) (/ (pow x 2) z))))
(* -1 (* z (+ (* -1 (pow y 2)) (/ (pow x 2) z))))
(* (pow y 2) z)
(+ (* -1 (pow x 2)) (* (pow y 2) z))
(+ (* -1 (pow x 2)) (* (pow y 2) z))
(+ (* -1 (pow x 2)) (* (pow y 2) z))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (* (pow y 2) z) (pow x 2)) 1))
(* (pow x 2) (- (/ (* (pow y 2) z) (pow x 2)) 1))
(* (pow x 2) (- (/ (* (pow y 2) z) (pow x 2)) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (* (pow y 2) z) (pow x 2)) 1))
(* (pow x 2) (- (/ (* (pow y 2) z) (pow x 2)) 1))
(* (pow x 2) (- (/ (* (pow y 2) z) (pow x 2)) 1))
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) 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)

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

rewrite227.0ms (2.8%)

Memory

3.3MiB live, 473.3MiB allocated

Rules

6 024×	`lower-fma.f32`
6 020×	`lower-fma.f64`
3 872×	`lower-*.f32`
3 854×	`lower-*.f64`
3 700×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	213
0	63	208
1	214	202
2	1325	178
0	8955	167

Stop Event

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

Counts

19 → 541

Calls

Call 1

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

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

eval448.0ms (5.5%)

Memory: -11.2MiB live, 348.3MiB allocated
Compiler: Compiled 26 314 to 2 085 computations (92.1% saved)

prune170.0ms (2.1%)

Memory

4.7MiB live, 279.4MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	1 304	5	1 309
Fresh	3	1	4
Picked	3	2	5
Done	0	3	3
Total	1 310	11	1 321

Accuracy

100.0%

Counts

1 321 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
▶	99.7%	(.f64 #s(approx (+ ( y (sqrt z)) x) (fma.f64 y (/.f64 z (sqrt.f64 z)) x)) #s(literal 1/2 binary64))
▶	48.0%	(.f64 #s(approx (+ ( y (sqrt z)) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64))
▶	49.5%	(.f64 #s(approx (+ ( y (sqrt z)) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64))
	48.0%	(.f64 #s(approx (+ ( y (sqrt z)) x) (.f64 (.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) #s(literal 1/2 binary64))
▶	90.6%	(.f64 #s(approx (+ ( y (sqrt z)) x) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))) #s(literal 1/2 binary64))
✓	56.3%	(.f64 #s(approx (+ ( y (sqrt z)) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
✓	99.7%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	87.1%	#s(approx (/ 1 (/ (- (* y (sqrt z)) x) (* (- (* y (* y z)) (* x x)) 1/2))) (.f64 x (fma.f64 (sqrt.f64 z) (/.f64 (.f64 y #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64))))
▶	44.4%	#s(approx (/ 1 (/ (- (* y (sqrt z)) x) (* (- (* y (* y z)) (* x x)) 1/2))) (.f64 x #s(approx (+ ( (sqrt z) (/ (* y 1/2) x)) 1/2) (.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 (sqrt.f64 z) x))))))
✓	44.7%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(literal 1/2 binary64)))

Compiler

Compiled 213 to 140 computations (34.3% saved)

simplify153.0ms (1.9%)

Memory

-2.3MiB live, 158.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 (sqrt.f64 z) x)))
cost-diff	0	#s(approx (+ (* (sqrt z) (/ (* y 1/2) x)) 1/2) (.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 (sqrt.f64 z) x))))
cost-diff	0	(.f64 x #s(approx (+ ( (sqrt z) (/ (* y 1/2) x)) 1/2) (.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 (sqrt.f64 z) x)))))
cost-diff	0	#s(approx (/ 1 (/ (- (* y (sqrt z)) x) (* (- (* y (* y z)) (* x x)) 1/2))) (.f64 x #s(approx (+ ( (sqrt z) (/ (* y 1/2) x)) 1/2) (.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 (sqrt.f64 z) x))))))
cost-diff	0	(+.f64 (sqrt.f64 z) (/.f64 x y))
cost-diff	0	#s(approx (+ (* y (sqrt z)) x) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))
cost-diff	0	(.f64 #s(approx (+ ( y (sqrt z)) x) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))) #s(literal 1/2 binary64))
cost-diff	832	(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
cost-diff	0	(*.f64 y z)
cost-diff	0	(/.f64 (*.f64 y z) (sqrt.f64 z))
cost-diff	0	#s(approx (+ (* y (sqrt z)) x) (/.f64 (*.f64 y z) (sqrt.f64 z)))
cost-diff	0	(.f64 #s(approx (+ ( y (sqrt z)) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #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 (+ (* y (sqrt z)) x) (*.f64 (/.f64 y (sqrt.f64 z)) z))
cost-diff	0	(.f64 #s(approx (+ ( y (sqrt z)) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 z (sqrt.f64 z))
cost-diff	0	(fma.f64 y (/.f64 z (sqrt.f64 z)) x)
cost-diff	0	#s(approx (+ (* y (sqrt z)) x) (fma.f64 y (/.f64 z (sqrt.f64 z)) x))
cost-diff	0	(.f64 #s(approx (+ ( y (sqrt z)) x) (fma.f64 y (/.f64 z (sqrt.f64 z)) x)) #s(literal 1/2 binary64))

Rules

5 584×	`lower-fma.f32`
5 582×	`lower-fma.f64`
3 368×	`lower-*.f32`
3 350×	`lower-*.f64`
1 674×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	293
0	64	291
1	114	291
2	190	289
3	358	289
4	869	285
5	1703	285
6	3602	285
7	6445	285
0	8147	271

Stop Event

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

Calls

Call 1

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

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

localize135.0ms (1.7%)

Memory

35.5MiB live, 184.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2421875	(/.f64 (sqrt.f64 z) x)
accuracy	3.3791148175133667	(*.f64 y (/.f64 (sqrt.f64 z) x))
accuracy	5.99893550635058	(.f64 x #s(approx (+ ( (sqrt z) (/ (* y 1/2) x)) 1/2) (.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 (sqrt.f64 z) x)))))
accuracy	27.719934946793447	#s(approx (+ (* (sqrt z) (/ (* y 1/2) x)) 1/2) (.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 (sqrt.f64 z) x))))
accuracy	0	(sqrt.f64 z)
accuracy	0	#s(approx (+ (* y (sqrt z)) x) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))
accuracy	0.0078125	(+.f64 (sqrt.f64 z) (/.f64 x y))
accuracy	6.045109346007239	(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
accuracy	0	(*.f64 y z)
accuracy	0	(sqrt.f64 z)
accuracy	7.965031938599812	(/.f64 (*.f64 y z) (sqrt.f64 z))
accuracy	27.806265384768633	#s(approx (+ (* y (sqrt z)) x) (/.f64 (*.f64 y z) (sqrt.f64 z)))
accuracy	0	(sqrt.f64 z)
accuracy	0.265625	(/.f64 y (sqrt.f64 z))
accuracy	6.962197292244293	(*.f64 (/.f64 y (sqrt.f64 z)) z)
accuracy	27.806265384768633	#s(approx (+ (* y (sqrt z)) x) (*.f64 (/.f64 y (sqrt.f64 z)) z))
accuracy	0	(sqrt.f64 z)
accuracy	0	#s(approx (+ (* y (sqrt z)) x) (fma.f64 y (/.f64 z (sqrt.f64 z)) x))
accuracy	0.1640625	(fma.f64 y (/.f64 z (sqrt.f64 z)) x)
accuracy	0.4921875	(/.f64 z (sqrt.f64 z))

Samples

84.0ms

256×

valid

Compiler

Compiled 194 to 36 computations (81.4% saved)

Precisions

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

ival-mult: 31.0ms (51.1% of total)

ival-div: 20.0ms (33% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

series54.0ms (0.7%)

Memory

-13.4MiB live, 74.3MiB allocated

Counts

23 → 720

Calls

Call 1

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

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

Calls

180 calls:

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

simplify346.0ms (4.3%)

Memory

-24.7MiB live, 303.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 252×	`lower-fma.f64`
7 252×	`lower-fma.f32`
5 496×	`lower-*.f64`
5 496×	`lower-*.f32`
3 216×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	189	5186
1	645	5070
2	2217	4882
3	6730	4881
0	8068	4504

Stop Event

1×	iter limit
1×	node limit

Counts

720 → 702

Calls

Call 1

Inputs
(* 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 (* 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
(+ x (* y (sqrt z)))
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(* 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))))))
(* 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)))
(* 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)))))
(* 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)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt 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 (+ 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 (* 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
(+ 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)))
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(+ 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))))))
(* 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)))
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(* y (sqrt (/ 1 z)))
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(* 1/2 x)
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
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(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* 1/2 (* y (sqrt z)))
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(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* 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))))
(* 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 (* 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
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
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(* 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)))
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(* 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))))))
(* 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))
(* y (sqrt z))
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(* y (sqrt z))
(* y (sqrt z))
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(* 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)
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)))
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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)))))
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(* 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))))))
(* 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)))
(* 1/2 x)
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(* 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))))
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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))))
(* 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 (* 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
(+ 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))))))
(* 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) (/ x y))
(+ (sqrt z) (/ x y))
(+ (sqrt z) (/ x y))
(+ (sqrt z) (/ x y))
(sqrt z)
(* z (+ (sqrt (/ 1 z)) (/ x (* y z))))
(* z (+ (sqrt (/ 1 z)) (/ x (* y z))))
(* z (+ (sqrt (/ 1 z)) (/ x (* y z))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* z (+ (* -1 (/ x (* y z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1 (/ x (* y z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1 (/ x (* y z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
(sqrt z)
(+ (sqrt z) (/ x y))
(+ (sqrt z) (/ x y))
(+ (sqrt z) (/ x y))
(/ x y)
(* x (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))
(* x (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))
(* x (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))
(/ x y)
(* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))
(* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))
(* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))
(/ x y)
(/ (+ x (* y (sqrt z))) y)
(/ (+ x (* y (sqrt z))) y)
(/ (+ x (* y (sqrt z))) y)
(sqrt z)
(+ (sqrt z) (/ x y))
(+ (sqrt z) (/ x y))
(+ (sqrt z) (/ x y))
(sqrt z)
(+ (sqrt z) (/ x y))
(+ (sqrt z) (/ x y))
(+ (sqrt z) (/ x y))
(* 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 (/ (pow x 2) (- (* y (sqrt z)) x)))
(+ (* -1/2 (/ (pow x 2) (- (* y (sqrt z)) x))) (* 1/2 (/ (* (pow y 2) z) (- (* y (sqrt z)) x))))
(+ (* -1/2 (/ (pow x 2) (- (* y (sqrt z)) x))) (* 1/2 (/ (* (pow y 2) z) (- (* y (sqrt z)) x))))
(+ (* -1/2 (/ (pow x 2) (- (* y (sqrt z)) x))) (* 1/2 (/ (* (pow y 2) z) (- (* y (sqrt z)) x))))
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z))))
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (+ (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) (* (pow y 2) (pow z 2)))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))))
(* -1/2 (* y (sqrt z)))
(+ (* -1/2 (* y (sqrt z))) (* -1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)))
(+ (* -1 (/ (+ (* -1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt (/ 1 z)))) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt z))) (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt 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 (* 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 (+ 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)))))
(* x (+ 1/2 (* 1/2 (* (/ y x) (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 (* 1/2 (* (/ y x) (sqrt z))))
(+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))
(+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))
(+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))
(* 1/2 (* (/ y x) (sqrt z)))
(* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))
(* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))
(* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))
(* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))
(* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))
(* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))
(* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))
1/2
(+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))
(+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))
(+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))
(* 1/2 (* (/ y x) (sqrt z)))
(* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))
(* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))
(* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))
(* 1/2 (* (/ y x) (sqrt z)))
(* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))
(* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))
(* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))
(* 1/2 (* (/ y x) (sqrt z)))
(/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x)
(/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x)
(/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x)
1/2
(+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))
(+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))
(+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))
1/2
(+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))
(+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))
(+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))
(* 1/2 (* (/ y x) (sqrt z)))
(* 1/2 (* (/ y x) (sqrt z)))
(* 1/2 (* (/ y x) (sqrt z)))
(* 1/2 (* (/ y x) (sqrt z)))
(* 1/2 (* (/ y x) (sqrt z)))
(* 1/2 (* (/ y x) (sqrt z)))
(* 1/2 (* (/ y x) (sqrt z)))
(* 1/2 (* (/ y x) (sqrt z)))
(* 1/2 (* (/ y x) (sqrt z)))
(* 1/2 (* (/ y x) (sqrt z)))
(* 1/2 (* (/ y x) (sqrt z)))
(* 1/2 (* (/ y x) (sqrt z)))
(* 1/2 (* (/ y x) (sqrt z)))
(* 1/2 (* (/ y x) (sqrt z)))
(* 1/2 (* (/ y x) (sqrt z)))
(* 1/2 (* (/ y x) (sqrt z)))
(* 1/2 (* (/ y x) (sqrt z)))
(* 1/2 (* (/ y x) (sqrt z)))
(* 1/2 (* (/ y x) (sqrt z)))
(* 1/2 (* (/ y x) (sqrt z)))
(* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))
(* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))
(* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))
(* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))
(* 1/2 (* (/ y x) (sqrt z)))
(* 1/2 (* (/ y x) (sqrt z)))
(* 1/2 (* (/ y x) (sqrt z)))
(* 1/2 (* (/ y x) (sqrt z)))
(* 1/2 (* (/ y x) (sqrt z)))
(* 1/2 (* (/ y x) (sqrt z)))
(* 1/2 (* (/ y x) (sqrt z)))
(* 1/2 (* (/ y x) (sqrt z)))
(* 1/2 (* (/ y x) (sqrt z)))
(* 1/2 (* (/ y x) (sqrt z)))
(* 1/2 (* (/ y x) (sqrt z)))
(* 1/2 (* (/ y x) (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)))
(* (/ y x) (sqrt z))
(* (/ y x) (sqrt z))
(* (/ y x) (sqrt z))
(* (/ y x) (sqrt z))
(* (/ y x) (sqrt z))
(* (/ y x) (sqrt z))
(* (/ y x) (sqrt z))
(* (/ y x) (sqrt z))
(* (/ y x) (sqrt z))
(* (/ y x) (sqrt z))
(* (/ y x) (sqrt z))
(* (/ y x) (sqrt z))
(* (/ y x) (sqrt z))
(* (/ y x) (sqrt z))
(* (/ y x) (sqrt z))
(* (/ y x) (sqrt z))
(* (/ y x) (sqrt z))
(* (/ y x) (sqrt z))
(* (/ y x) (sqrt z))
(* (/ y x) (sqrt z))
(* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))
(* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))
(* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))
(* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))
(* (/ y x) (sqrt z))
(* (/ y x) (sqrt z))
(* (/ y x) (sqrt z))
(* (/ y x) (sqrt z))
(* (/ y x) (sqrt z))
(* (/ y x) (sqrt z))
(* (/ y x) (sqrt z))
(* (/ y x) (sqrt z))
(* (/ y x) (sqrt z))
(* (/ y x) (sqrt z))
(* (/ y x) (sqrt z))
(* (/ y x) (sqrt z))
(* (/ 1 x) (sqrt z))
(* (/ 1 x) (sqrt z))
(* (/ 1 x) (sqrt z))
(* (/ 1 x) (sqrt z))
(* (/ 1 x) (sqrt z))
(* (/ 1 x) (sqrt z))
(* (/ 1 x) (sqrt z))
(* (/ 1 x) (sqrt z))
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z)))
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z)))
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z)))
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z)))
(* (/ 1 x) (sqrt z))
(* (/ 1 x) (sqrt z))
(* (/ 1 x) (sqrt z))
(* (/ 1 x) (sqrt z))
(* (/ 1 x) (sqrt z))
(* (/ 1 x) (sqrt z))
(* (/ 1 x) (sqrt z))
(* (/ 1 x) (sqrt z))
(* (/ 1 x) (sqrt z))
(* (/ 1 x) (sqrt z))
(* (/ 1 x) (sqrt z))
(* (/ 1 x) (sqrt z))

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

rewrite259.0ms (3.2%)

Memory

32.6MiB live, 464.0MiB allocated

Rules

4 990×	`lower-/.f32`
4 980×	`lower-/.f64`
4 976×	`lower-fma.f32`
4 974×	`lower-fma.f64`
4 422×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	264
0	64	265
1	228	253
2	1582	223
0	8858	217

Stop Event

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

Counts

23 → 532

Calls

Call 1

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

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

eval264.0ms (3.2%)

Memory: -6.4MiB live, 341.2MiB allocated
Compiler: Compiled 18 820 to 1 992 computations (89.4% saved)

prune220.0ms (2.7%)

Memory

-7.1MiB live, 349.0MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	1 428	2	1 430
Fresh	1	0	1
Picked	1	4	5
Done	1	4	5
Total	1 431	10	1 441

Accuracy

100.0%

Counts

1 441 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
✓	99.7%	(.f64 #s(approx (+ ( y (sqrt z)) x) (fma.f64 y (/.f64 z (sqrt.f64 z)) x)) #s(literal 1/2 binary64))
✓	48.0%	(.f64 #s(approx (+ ( y (sqrt z)) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64))
✓	49.5%	(.f64 #s(approx (+ ( y (sqrt z)) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64))
	49.5%	(.f64 #s(approx (+ ( y (sqrt z)) x) (.f64 #s(approx (/ y (sqrt z)) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) z)) #s(literal 1/2 binary64))
✓	90.6%	(.f64 #s(approx (+ ( y (sqrt z)) x) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))) #s(literal 1/2 binary64))
✓	56.3%	(.f64 #s(approx (+ ( y (sqrt z)) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
✓	99.7%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
	43.7%	#s(approx (/ 1 (/ (- (* y (sqrt z)) x) (* (- (* y (* y z)) (* x x)) 1/2))) (.f64 x #s(approx (+ ( (sqrt z) (/ (* y 1/2) x)) 1/2) (.f64 (/.f64 (.f64 y #s(literal 1/2 binary64)) x) (sqrt.f64 z)))))
✓	44.7%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(literal 1/2 binary64)))

Compiler

Compiled 500 to 182 computations (63.6% saved)

regimes69.0ms (0.9%)

Memory

10.6MiB live, 99.6MiB allocated

Counts

28 → 1

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 y (.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))
(.f64 #s(approx (+ ( y (sqrt z)) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
(.f64 #s(approx (+ ( y (sqrt z)) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( y (sqrt z)) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( y (sqrt z)) x) (fma.f64 y (/.f64 z (sqrt.f64 z)) x)) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( y (sqrt z)) x) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
#s(approx (/ 1 (/ (- (* y (sqrt z)) x) (* (- (* y (* y z)) (* x x)) 1/2))) (.f64 x #s(approx (+ ( (sqrt z) (/ (* y 1/2) x)) 1/2) (.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 (sqrt.f64 z) x))))))
#s(approx (/ 1 (/ (- (* y (sqrt z)) x) (* (- (* y (* y z)) (* x x)) 1/2))) (.f64 x #s(approx (+ ( (sqrt z) (/ (* y 1/2) x)) 1/2) (.f64 (/.f64 (.f64 y #s(literal 1/2 binary64)) x) (sqrt.f64 z)))))
(.f64 #s(approx (+ ( y (sqrt z)) x) (.f64 #s(approx (/ y (sqrt z)) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) z)) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( y (sqrt z)) x) (.f64 (.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) #s(literal 1/2 binary64))
#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)))
#s(approx (/ 1 (/ (- (* y (sqrt z)) x) (* (- (* y (* y z)) (* x x)) 1/2))) (.f64 x (fma.f64 (sqrt.f64 z) (/.f64 (.f64 y #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64))))
(.f64 #s(approx (+ ( y (sqrt z)) x) (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) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (sqrt z)) x) (*.f64 y (sqrt.f64 z)))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ 1 (+ (* y (sqrt z)) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* y (sqrt z)) x) (* (- (* y (* y z)) (* x x)) 1/2)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 2 binary64) y))))
(/.f64 (.f64 (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 y (sqrt.f64 z)) x))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ 1 (+ (* y (sqrt z)) x)) (/.f64 (-.f64 (/.f64 (sqrt.f64 z) y) (/.f64 x (*.f64 y y))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y (sqrt.f64 z)) x) (.f64 (-.f64 (.f64 y (.f64 y z)) (*.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))))))
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal 1/2 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (*.f64 (sqrt.f64 (pow.f64 z #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 z #s(literal 1/4 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y (sqrt.f64 z)))) (/.f64 (.f64 x x) (-.f64 x (.f64 y (sqrt.f64 z))))) (.f64 (/.f64 (.f64 y (.f64 y z)) (-.f64 x (.f64 y (sqrt.f64 z)))) (/.f64 (.f64 y (.f64 y z)) (-.f64 x (.f64 y (sqrt.f64 z)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (-.f64 x (.f64 y (sqrt.f64 z)))) (/.f64 (.f64 y (.f64 y z)) (-.f64 x (.f64 y (sqrt.f64 z))))))))

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

Calls

7 calls:

19.0ms	z
9.0ms	(*.f64 y (sqrt.f64 z))
8.0ms	(sqrt.f64 z)
8.0ms	x
8.0ms	y

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`z`
99.7%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
99.7%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
99.7%	1	`(*.f64 y (sqrt.f64 z))`
99.7%	1	`(sqrt.f64 z)`

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes15.0ms (0.2%)

Memory

-4.8MiB live, 33.3MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

7 calls:

4.0ms	(.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	(*.f64 y (sqrt.f64 z))
2.0ms	(sqrt.f64 z)
2.0ms	x

Results

Accuracy	Segments	Branch
76.1%	3	`x`
73.4%	3	`y`
64.3%	3	`z`
59.8%	3	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
59.8%	3	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
75.8%	3	`(*.f64 y (sqrt.f64 z))`
64.3%	3	`(sqrt.f64 z)`

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes11.0ms (0.1%)

Memory

-10.5MiB live, 27.4MiB 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 x #s(literal 1/2 binary64)))

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

Calls

7 calls:

3.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
1.0ms	(*.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	(sqrt.f64 z)
1.0ms	y

Results

Accuracy	Segments	Branch
44.7%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
44.7%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
44.7%	1	`z`
44.7%	1	`(sqrt.f64 z)`
44.7%	1	`y`
44.7%	1	`(*.f64 y (sqrt.f64 z))`
44.7%	1	`x`

Compiler

Compiled 46 to 34 computations (26.1% saved)

bsearch30.0ms (0.4%)

Memory

32.7MiB live, 69.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	4.549825350334241e-17	3.3366186600394373e-6
10.0ms	-1.7977841844758163e+109	-2.6525844557695066e+107

Samples

15.0ms

272×

valid

Compiler

Compiled 339 to 254 computations (25.1% saved)

Precisions

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

ival-mult: 3.0ms (34% of total)

ival-div: 2.0ms (22.7% of total)

ival-sqrt: 2.0ms (22.7% of total)

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

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

exact: 0.0ms (0% of total)

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

simplify14.0ms (0.2%)

Memory

-11.6MiB live, 24.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`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 y (sqrt.f64 z) x) #s(literal 1/2 binary64))

(if (<=.f64 x #s(literal -2200000000000000126945902762769057917348954006648456627887138450491293614076237336716192829979033259321851904 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 4911261142184431/18889465931478580854784 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(literal 1/2 binary64)))))

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

Outputs

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

(if (<=.f64 x #s(literal -2200000000000000126945902762769057917348954006648456627887138450491293614076237336716192829979033259321851904 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 4911261142184431/18889465931478580854784 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(literal 1/2 binary64)))))

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

soundness374.0ms (4.6%)

Memory

-8.4MiB live, 264.7MiB allocated

Rules

7 460×	`lower-fma.f64`
7 460×	`lower-fma.f32`
5 642×	`lower-fma.f64`
5 642×	`lower-fma.f32`
4 298×	`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×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 97 to 48 computations (50.5% saved)

preprocess51.0ms (0.6%)

Memory: 27.0MiB live, 102.5MiB allocated
Compiler: Compiled 100 to 52 computations (48% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze48.0ms (0.6%)

sample1.1s (13.1%)

explain161.0ms (2%)

preprocess77.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize27.0ms (0.3%)

series15.0ms (0.2%)

simplify191.0ms (2.4%)

rewrite280.0ms (3.5%)

eval42.0ms (0.5%)

prune122.0ms (1.5%)

simplify259.0ms (3.2%)

localize131.0ms (1.6%)

series87.0ms (1.1%)

simplify527.0ms (6.5%)

rewrite766.0ms (9.4%)

eval378.0ms (4.7%)

prune290.0ms (3.6%)

simplify328.0ms (4%)

localize145.0ms (1.8%)

series39.0ms (0.5%)

simplify297.0ms (3.7%)

rewrite227.0ms (2.8%)

eval448.0ms (5.5%)

prune170.0ms (2.1%)

simplify153.0ms (1.9%)

localize135.0ms (1.7%)

series54.0ms (0.7%)

simplify346.0ms (4.3%)

rewrite259.0ms (3.2%)

eval264.0ms (3.2%)

prune220.0ms (2.7%)

regimes69.0ms (0.9%)

regimes15.0ms (0.2%)

regimes11.0ms (0.1%)

bsearch30.0ms (0.4%)

simplify14.0ms (0.2%)

soundness374.0ms (4.6%)

preprocess51.0ms (0.6%)

end0.0ms (0%)

Profiling