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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze43.0ms (0.7%)

Memory

7.3MiB live, 85.9MiB 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 (17%)

Memory

5.4MiB live, 1 511.4MiB allocated

Samples

629.0ms	8 256×	0	valid
142.0ms	2 047×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 526.0ms

ival-mult: 222.0ms (42.2% of total)

ival-div: 138.0ms (26.2% of total)

ival-sqrt: 93.0ms (17.7% of total)

ival-add: 52.0ms (9.9% of total)

exact: 9.0ms (1.7% of total)

ival-true: 8.0ms (1.5% of total)

ival-assert: 4.0ms (0.8% of total)

Bogosity

explain95.0ms (1.5%)

Memory

-12.0MiB live, 146.3MiB 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

35.0ms

512×

valid

Compiler

Compiled 77 to 34 computations (55.8% saved)

Precisions

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

ival-mult: 6.0ms (32.1% of total)

ival-add: 4.0ms (21.4% of total)

ival-sqrt: 4.0ms (21.4% of total)

ival-div: 3.0ms (16% of total)

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

exact: 0.0ms (0% of total)

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

preprocess70.0ms (1.1%)

Memory

27.4MiB live, 66.2MiB 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: 0.5MiB live, 0.5MiB 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
▶	99.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify6.0ms (0.1%)

Memory

-26.9MiB live, 12.2MiB 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

localize25.0ms (0.4%)

Memory

24.7MiB live, 63.9MiB 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	0.0078125	(+.f64 x (*.f64 y (sqrt.f64 z)))
accuracy	0.18359375	(*.f64 y (sqrt.f64 z))

Samples

16.0ms

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 (36.9% of total)

ival-div: 2.0ms (24.6% of total)

ival-sqrt: 2.0ms (24.6% of total)

ival-add: 1.0ms (12.3% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Memory

-20.5MiB live, 21.5MiB allocated

Counts

5 → 108

Calls

Call 1

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

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

Calls

27 calls:

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

simplify163.0ms (2.5%)

Memory

32.3MiB live, 231.8MiB 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)

rewrite297.0ms (4.6%)

Memory

-5.0MiB live, 429.2MiB 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))))

eval126.0ms (1.9%)

Memory: -22.2MiB live, 52.7MiB allocated
Compiler: Compiled 11 782 to 906 computations (92.3% saved)

prune83.0ms (1.3%)

Memory

21.3MiB live, 60.6MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	369	8	377
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	370	8	378

Accuracy

100.0%

Counts

378 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.4%	(/.f64 (.f64 (-.f64 (.f64 y (.f64 y z)) (.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 y (sqrt.f64 z)) x))
▶	99.8%	(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
	55.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 y (sqrt.f64 z)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 y (*.f64 y z))))))
▶	70.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (pow.f64 (*.f64 z z) #s(literal 1/4 binary64)))))
▶	99.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))))))
▶	94.1%	#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)))
	48.3%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 y (.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))
▶	52.4%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(literal 1/2 binary64)))

Compiler

Compiled 248 to 166 computations (33.1% saved)

simplify10.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 y (pow.f64 (.f64 z z) #s(literal 1/4 binary64)))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (pow.f64 (*.f64 z z) #s(literal 1/4 binary64)))))
cost-diff	128	(+.f64 x (.f64 y (pow.f64 (.f64 z z) #s(literal 1/4 binary64))))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))))))
cost-diff	128	(+.f64 x (.f64 y (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	2240	(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))
cost-diff	0	(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	(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 y z) x) #s(literal 1/2 binary64))
cost-diff	0	#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)))
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	(fma.f64 y (sqrt.f64 z) x)
cost-diff	0	(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))

Rules

196×	`lower-*.f32`
176×	`lower-*.f64`
96×	`lower-fma.f32`
92×	`lower-fma.f64`
78×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	183
0	59	159
1	94	159
2	133	159
3	182	159
4	212	159
0	212	157

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize264.0ms (4%)

Memory

-56.0MiB live, 133.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z z)
accuracy	0.0078125	(+.f64 x (.f64 y (pow.f64 (.f64 z z) #s(literal 1/4 binary64))))
accuracy	0.18359375	(.f64 y (pow.f64 (.f64 z z) #s(literal 1/4 binary64)))
accuracy	30.800940693101744	(pow.f64 (*.f64 z z) #s(literal 1/4 binary64))
accuracy	0.0078125	(+.f64 x (.f64 y (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))))
accuracy	0.125	(sqrt.f64 (sqrt.f64 z))
accuracy	0.18359375	(.f64 y (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))))
accuracy	0.510097509768442	(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))
accuracy	0	(*.f64 y z)
accuracy	0	#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)))
accuracy	0.16015625	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	3.7799170305944827	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x)
accuracy	0	(*.f64 x #s(literal 1/2 binary64))
accuracy	30.48570075867706	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(literal 1/2 binary64)))
accuracy	0	(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
accuracy	0	(sqrt.f64 z)
accuracy	0.1015625	(fma.f64 y (sqrt.f64 z) x)

Samples

143.0ms

256×

valid

Compiler

Compiled 185 to 33 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 125.0ms

ival-mult: 73.0ms (58.5% of total)

ival-sqrt: 35.0ms (28% of total)

ival-pow: 7.0ms (5.6% of total)

ival-add: 5.0ms (4% of total)

ival-div: 3.0ms (2.4% of total)

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

exact: 0.0ms (0% of total)

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

series185.0ms (2.8%)

Memory

15.2MiB live, 136.8MiB allocated

Counts

21 → 516

Calls

Call 1

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

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

Calls

129 calls:

Time	Variable		Point	Expression
66.0ms	x	@	0	(+ x (* y (pow (* z z) 1/4)))
45.0ms	z	@	0	(+ x (* y (pow (* z z) 1/4)))
27.0ms	z	@	-inf	(sqrt (sqrt z))
10.0ms	y	@	0	(+ x (* y (pow (* z z) 1/4)))
7.0ms	z	@	inf	(sqrt (sqrt z))

simplify239.0ms (3.7%)

Memory

1.6MiB live, 236.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 230×	`lower-fma.f64`
7 230×	`lower-fma.f32`
3 558×	`lower-*.f64`
3 558×	`lower-*.f32`
1 990×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	3358
1	357	3307
2	1363	3291
3	2550	3156
4	5643	3156
5	7789	3156
0	8143	2888

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 504

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

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

rewrite248.0ms (3.8%)

Memory

23.1MiB live, 338.4MiB allocated

Rules

8 302×	`lower-fma.f32`
8 298×	`lower-fma.f64`
4 070×	`lower-*.f32`
4 056×	`lower-*.f64`
1 706×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	155
0	59	115
1	175	107
2	909	104
3	7590	104
0	8105	104

Stop Event

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

Counts

21 → 1 209

Calls

Call 1

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

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

eval314.0ms (4.8%)

Memory: -1.8MiB live, 503.0MiB allocated
Compiler: Compiled 41 208 to 2 533 computations (93.9% saved)

prune201.0ms (3.1%)

Memory

15.8MiB live, 492.0MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	1 907	3	1 910
Fresh	3	0	3
Picked	2	3	5
Done	0	0	0
Total	1 912	6	1 918

Accuracy

100.0%

Counts

1 918 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.1%	(*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64))
▶	99.8%	(*.f64 (fma.f64 y (/.f64 z (sqrt.f64 z)) x) #s(literal 1/2 binary64))
✓	99.8%	(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
▶	48.3%	(.f64 #s(approx (+ ( y (sqrt z)) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
✓	94.1%	#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)))
✓	52.4%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(literal 1/2 binary64)))

Compiler

Compiled 66 to 45 computations (31.8% saved)

simplify8.0ms (0.1%)

Memory

-23.4MiB live, 15.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

88×	`lower-*.f32`
82×	`lower-*.f64`
42×	`*-commutative`
40×	`lower-fma.f32`
36×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	85
0	28	85
1	38	85
2	48	85
3	70	85
4	86	85
5	91	85
6	97	85
0	97	83

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize141.0ms (2.2%)

Memory

-3.3MiB live, 88.0MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64))
accuracy	0	(sqrt.f64 z)
accuracy	0.23046875	(/.f64 y (sqrt.f64 z))
accuracy	6.315919937576559	(fma.f64 (/.f64 y (sqrt.f64 z)) z x)
accuracy	0	(*.f64 (fma.f64 y (/.f64 z (sqrt.f64 z)) x) #s(literal 1/2 binary64))
accuracy	0	(sqrt.f64 z)
accuracy	0.1015625	(fma.f64 y (/.f64 z (sqrt.f64 z)) x)
accuracy	0.47265625	(/.f64 z (sqrt.f64 z))
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	0.18359375	(*.f64 y (sqrt.f64 z))
accuracy	32.969445568081525	#s(approx (+ (* y (sqrt z)) x) (*.f64 y (sqrt.f64 z)))

Samples

125.0ms

256×

valid

Compiler

Compiled 81 to 18 computations (77.8% saved)

Precisions

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

ival-mult: 9.0ms (50.6% of total)

ival-div: 3.0ms (16.9% of total)

ival-add: 3.0ms (16.9% of total)

ival-sqrt: 2.0ms (11.2% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.2%)

Memory

-8.7MiB live, 29.4MiB allocated

Counts

10 → 288

Calls

Call 1

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

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

Calls

72 calls:

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

simplify166.0ms (2.5%)

Memory

13.0MiB live, 288.9MiB allocated

Algorithm

1×	egg-herbie

Rules

5 874×	`lower-fma.f64`
5 874×	`lower-fma.f32`
4 162×	`lower-*.f64`
4 162×	`lower-*.f32`
1 722×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	1866
1	285	1866
2	942	1866
3	2530	1794
4	5444	1794
0	8009	1626

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 279

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

rewrite209.0ms (3.2%)

Memory

6.0MiB live, 270.7MiB allocated

Rules

4 162×	`lower-fma.f32`
4 158×	`lower-fma.f64`
2 924×	`lower-*.f32`
2 918×	`lower-*.f64`
1 658×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	70
0	28	66
1	88	66
2	464	58
3	6732	58
0	8059	58

Stop Event

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

Counts

10 → 455

Calls

Call 1

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

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

eval125.0ms (1.9%)

Memory: 14.9MiB live, 174.3MiB allocated
Compiler: Compiled 13 329 to 1 101 computations (91.7% saved)

prune85.0ms (1.3%)

Memory

13.2MiB live, 141.5MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	831	3	834
Fresh	0	0	0
Picked	1	2	3
Done	0	3	3
Total	832	8	840

Accuracy

100.0%

Counts

840 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.1%	(*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64))
✓	99.8%	(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
▶	44.0%	(.f64 #s(approx (+ ( y (sqrt z)) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64))
▶	44.0%	(.f64 #s(approx (+ ( y (sqrt z)) x) (.f64 (/.f64 (sqrt.f64 z) z) (.f64 y z))) #s(literal 1/2 binary64))
▶	41.1%	(.f64 #s(approx (+ ( y (sqrt z)) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64))
✓	48.3%	(.f64 #s(approx (+ ( y (sqrt z)) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
✓	94.1%	#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)))
✓	52.4%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(literal 1/2 binary64)))

Compiler

Compiled 92 to 62 computations (32.6% saved)

simplify564.0ms (8.6%)

Memory

-6.2MiB live, 142.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

6 428×	`lower-*.f32`
6 418×	`lower-*.f64`
2 338×	`cube-prod`
2 258×	`associate-/r/`
2 182×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	137
0	30	137
1	44	137
2	60	137
3	76	131
4	88	125
5	91	125
6	257	125
7	1048	125
8	1663	125
9	2151	125
10	2518	125
11	2807	125
12	2899	125
13	3046	125
14	4084	125
15	4439	125
16	4923	125
17	6594	125
18	6815	125
19	6943	125
20	7037	125
21	7118	125
22	7196	125
0	8120	119

Stop Event

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

Calls

Call 1

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

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

localize338.0ms (5.2%)

Memory

-170.0MiB live, 78.6MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y z)
accuracy	0	(sqrt.f64 z)
accuracy	8.14227563891927	(/.f64 (*.f64 y z) (sqrt.f64 z))
accuracy	32.969445568081525	#s(approx (+ (* y (sqrt z)) x) (/.f64 (*.f64 y z) (sqrt.f64 z)))
accuracy	0	(sqrt.f64 z)
accuracy	0.2421875	(/.f64 (sqrt.f64 z) z)
accuracy	8.091494365949169	(.f64 (/.f64 (sqrt.f64 z) z) (.f64 y z))
accuracy	32.969445568081525	#s(approx (+ (* y (sqrt z)) x) (.f64 (/.f64 (sqrt.f64 z) z) (.f64 y z)))
accuracy	0	(sqrt.f64 z)
accuracy	0.23046875	(/.f64 y (sqrt.f64 z))
accuracy	8.927365534618488	(*.f64 (/.f64 y (sqrt.f64 z)) z)
accuracy	32.969445568081525	#s(approx (+ (* y (sqrt z)) x) (*.f64 (/.f64 y (sqrt.f64 z)) z))

Samples

48.0ms

256×

valid

Compiler

Compiled 93 to 16 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 21.0ms (71.4% of total)

ival-div: 5.0ms (17% of total)

ival-sqrt: 2.0ms (6.8% of total)

ival-add: 1.0ms (3.4% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Memory

-15.1MiB live, 22.8MiB allocated

Counts

13 → 360

Calls

Call 1

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

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

90 calls:

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

simplify191.0ms (2.9%)

Memory

20.3MiB live, 247.3MiB allocated

Algorithm

1×	egg-herbie

Rules

5 314×	`lower-fma.f64`
5 314×	`lower-fma.f32`
3 856×	`lower-*.f64`
3 856×	`lower-*.f32`
1 864×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	2154
1	260	2154
2	823	2154
3	2350	2082
4	5201	2082
5	7829	2082
0	8206	1914

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 351

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

rewrite287.0ms (4.4%)

Memory

29.5MiB live, 428.4MiB allocated

Rules

7 350×	`lower-fma.f64`
7 350×	`lower-fma.f32`
3 666×	`lower-*.f32`
3 658×	`lower-*.f64`
3 492×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	121
0	30	115
1	76	115
2	350	96
3	2509	96
0	8233	90

Stop Event

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

Counts

13 → 549

Calls

Call 1

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

Outputs
(.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)))
(exp.f64 (log.f64 (*.f64 y (sqrt.f64 z))))
(exp.f64 (.f64 (log.f64 (.f64 y (sqrt.f64 z))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 z) (*.f64 (log.f64 (/.f64 (sqrt.f64 z) y)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 (sqrt.f64 z) y)) #s(literal -1 binary64) (log.f64 z)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 z) (neg.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (neg.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) z) (-.f64 (/.f64 #s(literal 0 binary64) z) (*.f64 y (sqrt.f64 z))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (neg.f64 (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 z) z)) (/.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) z)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 z) y)) (/.f64 (neg.f64 z) (/.f64 (sqrt.f64 z) y)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)) (/.f64 (neg.f64 (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 y z))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (.f64 y z))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (.f64 y z))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (.f64 y z))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sqrt.f64 z) y))) (/.f64 z (neg.f64 (/.f64 (sqrt.f64 z) y))))
(neg.f64 (*.f64 (sqrt.f64 z) (neg.f64 y)))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (.f64 y z)))
(neg.f64 (*.f64 (neg.f64 (/.f64 y (sqrt.f64 z))) z))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 z) (neg.f64 y))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) z) (*.f64 y (sqrt.f64 z))))
(/.f64 y (/.f64 (sqrt.f64 z) z))
(/.f64 z (/.f64 (sqrt.f64 z) y))
(/.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 (sqrt.f64 z) z) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(/.f64 (*.f64 y z) (sqrt.f64 z))
(/.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 z) (neg.f64 (/.f64 (sqrt.f64 z) y)))
(/.f64 (*.f64 z (neg.f64 y)) (neg.f64 (sqrt.f64 z)))
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) (*.f64 y z)))
(/.f64 (.f64 y (.f64 z (sqrt.f64 z))) z)
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z))))
(/.f64 (neg.f64 (.f64 y (.f64 z (sqrt.f64 z)))) (neg.f64 z))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))
(/.f64 (neg.f64 (neg.f64 (.f64 y (.f64 z (sqrt.f64 z))))) z)
(/.f64 (/.f64 (*.f64 y z) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(/.f64 (.f64 (.f64 y (*.f64 z (sqrt.f64 z))) #s(literal 1 binary64)) z)
(/.f64 (.f64 #s(literal 1 binary64) (.f64 z (neg.f64 y))) (neg.f64 (sqrt.f64 z)))
(/.f64 (.f64 (.f64 y (*.f64 z (sqrt.f64 z))) #s(literal -1 binary64)) (neg.f64 z))
(/.f64 (.f64 (.f64 z (neg.f64 y)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 z)))
(/.f64 (/.f64 (neg.f64 (.f64 y (.f64 z (sqrt.f64 z)))) #s(literal -1 binary64)) z)
(/.f64 (/.f64 (*.f64 y z) #s(literal 1 binary64)) (sqrt.f64 z))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 z))) (neg.f64 (.f64 y (*.f64 z (sqrt.f64 z))))) z)
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 z)) (.f64 (neg.f64 (sqrt.f64 z)) (.f64 z (neg.f64 y)))) (.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 z)))) (.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1 binary64))) (.f64 (neg.f64 (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 z)) (.f64 (neg.f64 (sqrt.f64 z)) (/.f64 (.f64 y z) #s(literal -1 binary64)))) (.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 1/4 binary64))) (.f64 (neg.f64 (sqrt.f64 z)) (/.f64 (.f64 z (neg.f64 y)) (pow.f64 z #s(literal 1/4 binary64))))) (.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 z #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 z (neg.f64 y)))) (sqrt.f64 z))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (.f64 y (.f64 z (sqrt.f64 z)))))) (neg.f64 z))
(/.f64 (neg.f64 (/.f64 (*.f64 y z) (pow.f64 z #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 z #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 y (*.f64 z (sqrt.f64 z))) #s(literal 1 binary64))) (neg.f64 z))
(/.f64 (neg.f64 (.f64 (.f64 y (*.f64 z (sqrt.f64 z))) #s(literal -1 binary64))) z)
(/.f64 (neg.f64 (.f64 (.f64 z (neg.f64 y)) #s(literal 1 binary64))) (sqrt.f64 z))
(/.f64 (neg.f64 (/.f64 (neg.f64 (.f64 y (.f64 z (sqrt.f64 z)))) #s(literal -1 binary64))) (neg.f64 z))
(/.f64 (neg.f64 (/.f64 (*.f64 y z) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 z)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (sqrt.f64 z) (neg.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 y (.f64 y z) (.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 z) (neg.f64 y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 z) (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 z)) (/.f64 #s(literal 0 binary64) (sqrt.f64 z)) (fma.f64 y (.f64 y z) (.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 z)) (.f64 (sqrt.f64 z) (neg.f64 y))))))
(pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64))
(pow.f64 (/.f64 (sqrt.f64 z) (*.f64 y z)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 (sqrt.f64 z) (.f64 y z)) (/.f64 (sqrt.f64 z) (*.f64 y z))) #s(literal -1/2 binary64))
(*.f64 y (sqrt.f64 z))
(*.f64 z (/.f64 y (sqrt.f64 z)))
(.f64 (.f64 y (sqrt.f64 z)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) y)
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 z) (exp.f64 (log.f64 y)))
(*.f64 (/.f64 y (sqrt.f64 z)) z)
(.f64 (/.f64 (sqrt.f64 z) z) (.f64 y z))
(.f64 (/.f64 (sqrt.f64 z) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y z))))
(*.f64 (/.f64 (sqrt.f64 z) z) (/.f64 z (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 y z) (/.f64 (sqrt.f64 z) z))
(*.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 y))
(.f64 (neg.f64 (sqrt.f64 z)) (.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 y z)))
(*.f64 (neg.f64 (sqrt.f64 z)) (-.f64 (/.f64 #s(literal 0 binary64) z) y))
(*.f64 (neg.f64 z) (neg.f64 (/.f64 y (sqrt.f64 z))))
(.f64 (.f64 z (neg.f64 y)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(*.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z)))
(.f64 (neg.f64 y) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) z))
(.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 z)))
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y (*.f64 z (sqrt.f64 z))))
(.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 y z) (/.f64 (sqrt.f64 z) z)))
(.f64 (.f64 y (*.f64 z (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) z))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 z) (neg.f64 y)))
(.f64 (.f64 z (sqrt.f64 z)) (/.f64 y z))
(.f64 (neg.f64 (.f64 y (*.f64 z (sqrt.f64 z)))) (/.f64 #s(literal -1 binary64) z))
(.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) y))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (.f64 z (neg.f64 y)))
(.f64 (/.f64 y z) (.f64 z (sqrt.f64 z)))
(*.f64 (pow.f64 z #s(literal 3/4 binary64)) (/.f64 y (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 y (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 3/4 binary64)))
(.f64 (/.f64 (.f64 y z) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal -1/4 binary64)))
(*.f64 (/.f64 y #s(literal -1 binary64)) (neg.f64 (sqrt.f64 z)))
(.f64 (/.f64 (.f64 y z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (sqrt.f64 z))
(.f64 (pow.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))
(.f64 (.f64 (.f64 y (.f64 z (sqrt.f64 z))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 z (neg.f64 y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(.f64 (.f64 y (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(.f64 (/.f64 (.f64 y z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) z))
(*.f64 (-.f64 (/.f64 #s(literal 0 binary64) z) y) (neg.f64 (sqrt.f64 z)))
(*.f64 (exp.f64 (log.f64 y)) (sqrt.f64 z))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 z) y)) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 (.f64 y (sqrt.f64 z))) (.f64 (log.f64 z) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 z) #s(literal -1 binary64) (log.f64 (*.f64 y (sqrt.f64 z)))))
(exp.f64 (-.f64 (log.f64 (*.f64 y (sqrt.f64 z))) (log.f64 z)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 y (sqrt.f64 z))))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 z)) (neg.f64 (/.f64 y (sqrt.f64 z))))
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 y (sqrt.f64 z)) (neg.f64 z)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 z)) z) (/.f64 (*.f64 y (sqrt.f64 z)) (neg.f64 z)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 z)) (neg.f64 z)) (/.f64 (*.f64 y (sqrt.f64 z)) (neg.f64 z)))
(neg.f64 (neg.f64 (/.f64 y (sqrt.f64 z))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) y))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y (sqrt.f64 z)))))
(neg.f64 (/.f64 (*.f64 y (sqrt.f64 z)) (neg.f64 z)))
(/.f64 y (sqrt.f64 z))
(/.f64 (*.f64 y (sqrt.f64 z)) z)
(/.f64 (/.f64 (sqrt.f64 z) z) (/.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) y))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y (sqrt.f64 z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 z) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 y (sqrt.f64 z)))))
(/.f64 (*.f64 (sqrt.f64 z) (neg.f64 y)) (neg.f64 z))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 (/.f64 y z) (/.f64 (sqrt.f64 z) z))
(/.f64 (/.f64 y (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(/.f64 (/.f64 y #s(literal 1 binary64)) (sqrt.f64 z))
(/.f64 (/.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64)) z)
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 z)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 z))) (.f64 (sqrt.f64 z) (neg.f64 y))) z)
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 z)) (.f64 y (sqrt.f64 z))) (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sqrt.f64 z) y))) (.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1 binary64))) (*.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 (/.f64 (sqrt.f64 z) y))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 1/4 binary64))) (.f64 (neg.f64 (sqrt.f64 z)) (/.f64 (neg.f64 y) (pow.f64 z #s(literal 1/4 binary64))))) (*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 z #s(literal 1/4 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 z)) (.f64 (neg.f64 (sqrt.f64 z)) (/.f64 y #s(literal -1 binary64)))) (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)))
(/.f64 (neg.f64 (/.f64 y z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(/.f64 (neg.f64 (/.f64 y (pow.f64 z #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 z #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (/.f64 y #s(literal 1 binary64))) (neg.f64 (sqrt.f64 z)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y))) (sqrt.f64 z))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64))) (sqrt.f64 z))
(/.f64 (neg.f64 (/.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64))) (neg.f64 z))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (/.f64 y (sqrt.f64 z))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 (/.f64 y (sqrt.f64 z))) (neg.f64 (/.f64 y (sqrt.f64 z))) (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 y (sqrt.f64 z)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 y (sqrt.f64 z))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 z)) (/.f64 #s(literal 0 binary64) (sqrt.f64 z)) (fma.f64 (neg.f64 (/.f64 y (sqrt.f64 z))) (neg.f64 (/.f64 y (sqrt.f64 z))) (*.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 z)) (neg.f64 (/.f64 y (sqrt.f64 z)))))))
(pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1 binary64))
(pow.f64 (/.f64 (sqrt.f64 z) y) #s(literal -1 binary64))
(pow.f64 (/.f64 z (*.f64 y (sqrt.f64 z))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 (sqrt.f64 z) (.f64 y z)) z) #s(literal -1 binary64))
(pow.f64 (.f64 z (/.f64 (sqrt.f64 z) (.f64 y z))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (sqrt.f64 z) y) (/.f64 (sqrt.f64 z) y)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (sqrt.f64 z) y))) #s(literal -1 binary64))
(*.f64 y (/.f64 (sqrt.f64 z) z))
(.f64 (.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (sqrt.f64 z) (/.f64 y z))
(*.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1 binary64))
(*.f64 (/.f64 (sqrt.f64 z) z) y)
(*.f64 (/.f64 (sqrt.f64 z) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(.f64 (neg.f64 (sqrt.f64 z)) (.f64 (/.f64 #s(literal -1 binary64) z) y))
(*.f64 (neg.f64 (sqrt.f64 z)) (/.f64 y (neg.f64 z)))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 z)))
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (sqrt.f64 z))))
(.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) (/.f64 y z)))
(.f64 (.f64 (sqrt.f64 z) (neg.f64 y)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (neg.f64 y))
(*.f64 (/.f64 y z) (sqrt.f64 z))
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eval159.0ms (2.4%)

Memory: -7.1MiB live, 319.9MiB allocated
Compiler: Compiled 14 862 to 1 817 computations (87.8% saved)

prune200.0ms (3.1%)

Memory

-17.6MiB live, 180.5MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	1 151	1	1 152
Fresh	0	0	0
Picked	1	2	3
Done	1	4	5
Total	1 153	7	1 160

Accuracy

100.0%

Counts

1 160 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.1%	(*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64))
✓	99.8%	(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
✓	44.0%	(.f64 #s(approx (+ ( y (sqrt z)) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64))
✓	41.1%	(.f64 #s(approx (+ ( y (sqrt z)) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64))
	44.0%	(.f64 #s(approx (+ ( y (sqrt z)) x) (.f64 #s(approx (/ (sqrt z) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (.f64 y z))) #s(literal 1/2 binary64))
✓	48.3%	(.f64 #s(approx (+ ( y (sqrt z)) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
✓	52.4%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(literal 1/2 binary64)))

Compiler

Compiled 257 to 113 computations (56% saved)

regimes36.0ms (0.6%)

Memory

20.6MiB live, 59.3MiB allocated

Counts

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

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

Calls

7 calls:

6.0ms	(*.f64 y (sqrt.f64 z))
5.0ms	(sqrt.f64 z)
5.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
5.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
5.0ms	x

Results

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

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes32.0ms (0.5%)

Memory

-16.0MiB live, 23.9MiB 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:

20.0ms	(sqrt.f64 z)
2.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
2.0ms	x
2.0ms	(*.f64 y (sqrt.f64 z))
2.0ms	y

Results

Accuracy	Segments	Branch
77.0%	3	`x`
76.3%	3	`y`
60.3%	3	`z`
58.8%	3	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
58.8%	3	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
75.3%	3	`(*.f64 y (sqrt.f64 z))`
60.3%	3	`(sqrt.f64 z)`

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes10.0ms (0.2%)

Memory

-15.7MiB live, 23.2MiB 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:

2.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
1.0ms	z
1.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
1.0ms	(sqrt.f64 z)
1.0ms	(*.f64 y (sqrt.f64 z))

Results

Accuracy	Segments	Branch
52.4%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
52.4%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
52.4%	1	`z`
52.4%	1	`(sqrt.f64 z)`
52.4%	1	`(*.f64 y (sqrt.f64 z))`
52.4%	1	`y`
52.4%	1	`x`

Compiler

Compiled 46 to 34 computations (26.1% saved)

bsearch21.0ms (0.3%)

Memory

30.1MiB live, 30.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.5302720301046506e-25	1.0226385517219258e-15
6.0ms	-8.713435100191187e-39	-5.542047650463445e-39

Samples

11.0ms

208×

valid

Compiler

Compiled 263 to 198 computations (24.7% saved)

Precisions

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

ival-mult: 2.0ms (30.4% of total)

ival-div: 1.0ms (15.2% of total)

ival-add: 1.0ms (15.2% of total)

ival-sqrt: 1.0ms (15.2% of total)

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

exact: 0.0ms (0% of total)

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

simplify8.0ms (0.1%)

Memory

-27.7MiB live, 10.9MiB 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 -98175495586721/11972621413014756705924586149611790497021399392059392 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 8437482395119095/162259276829213363391578010288128 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 -98175495586721/11972621413014756705924586149611790497021399392059392 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 8437482395119095/162259276829213363391578010288128 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)))

soundness369.0ms (5.6%)

Memory

1.2MiB live, 200.3MiB 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)

preprocess58.0ms (0.9%)

Memory: 19.1MiB live, 95.0MiB allocated
Compiler: Compiled 100 to 52 computations (48% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze43.0ms (0.7%)

sample1.1s (17%)

explain95.0ms (1.5%)

preprocess70.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize25.0ms (0.4%)

series13.0ms (0.2%)

simplify163.0ms (2.5%)

rewrite297.0ms (4.6%)

eval126.0ms (1.9%)

prune83.0ms (1.3%)

simplify10.0ms (0.1%)

localize264.0ms (4%)

series185.0ms (2.8%)

simplify239.0ms (3.7%)

rewrite248.0ms (3.8%)

eval314.0ms (4.8%)

prune201.0ms (3.1%)

simplify8.0ms (0.1%)

localize141.0ms (2.2%)

series14.0ms (0.2%)

simplify166.0ms (2.5%)

rewrite209.0ms (3.2%)

eval125.0ms (1.9%)

prune85.0ms (1.3%)

simplify564.0ms (8.6%)

localize338.0ms (5.2%)

series15.0ms (0.2%)

simplify191.0ms (2.9%)

rewrite287.0ms (4.4%)

eval159.0ms (2.4%)

prune200.0ms (3.1%)

regimes36.0ms (0.6%)

regimes32.0ms (0.5%)

regimes10.0ms (0.2%)

bsearch21.0ms (0.3%)

simplify8.0ms (0.1%)

soundness369.0ms (5.6%)

preprocess58.0ms (0.9%)

end0.0ms (0%)

Profiling