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

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated

analyze84.0ms (1.3%)

Memory

6.4MiB live, 93.4MiB 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)

sample1.0s (15.8%)

Memory

-19.5MiB live, 1 615.4MiB allocated

Samples

534.0ms	8 256×	0	valid
120.0ms	2 002×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 397.0ms

ival-mult: 174.0ms (43.8% of total)

ival-sqrt: 81.0ms (20.4% of total)

ival-div: 70.0ms (17.6% of total)

ival-add: 51.0ms (12.8% of total)

exact: 9.0ms (2.3% of total)

ival-true: 8.0ms (2% of total)

ival-assert: 4.0ms (1% of total)

Bogosity

explain198.0ms (3%)

Memory

1.6MiB live, 123.2MiB 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

72.0ms

512×

valid

Compiler

Compiled 77 to 34 computations (55.8% saved)

Precisions

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

ival-mult: 6.0ms (36.3% of total)

ival-sqrt: 4.0ms (24.2% of total)

ival-div: 3.0ms (18.1% of total)

ival-add: 2.0ms (12.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess78.0ms (1.2%)

Memory

1.2MiB live, 37.5MiB allocated

Algorithm

1×	egg-herbie

Rules

482×	`unsub-neg`
354×	`distribute-lft-neg-in`
312×	`cancel-sign-sub-inv`
270×	`distribute-rgt-in`
236×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify4.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB 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 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 (sqrt.f64 z) y x)
x
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
y
(sqrt.f64 z)
z

localize69.0ms (1.1%)

Memory

-7.8MiB live, 30.2MiB 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	0.21875	(*.f64 y (sqrt.f64 z))

Samples

63.0ms

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 (38.1% of total)

ival-div: 2.0ms (25.4% of total)

ival-sqrt: 2.0ms (25.4% of total)

ival-add: 1.0ms (12.7% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB 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 (+ 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 (* 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 (* 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 (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 (* 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 (* 1/2 (* 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 (* 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 (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 (* (* 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 (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 (* -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 (* -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>) () ())) ())
#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 (* 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 (* 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 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 (* 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 (* 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 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 (* 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 (* 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 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 (* 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 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 (* 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 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 (* 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>) () ())) ())

Calls

9 calls:

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

simplify161.0ms (2.4%)

Memory

3.0MiB live, 84.3MiB 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	797	646
3	2298	622
4	5069	622
5	7549	622
0	8141	566

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 105

Calls

Call 1

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

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

rewrite269.0ms (4.1%)

Memory

-7.6MiB live, 154.5MiB 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 (pow.f64 (/.f64 (fma.f64 (.f64 z y) y (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y)))) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) x)) x (.f64 (.f64 (neg.f64 z) (.f64 y y)) (.f64 (.f64 (.f64 z y) y) (.f64 (.f64 z y) y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (sqrt.f64 z) y) z) (.f64 y y)))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 z y) y (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y)))) (fma.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (sqrt.f64 z) z)) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 z) y) z) (.f64 y y)) (-.f64 (.f64 (.f64 (.f64 (sqrt.f64 z) y) z) (.f64 y y)) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x)))))
(.f64 (pow.f64 (/.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) (.f64 (fma.f64 (.f64 z y) y (.f64 x x)) (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z y) y (*.f64 x x))))
(.f64 (pow.f64 (/.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) x)) x (.f64 (.f64 (neg.f64 z) (.f64 y y)) (.f64 (.f64 (.f64 z y) y) (.f64 (.f64 z y) y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 z y) y) (fma.f64 (.f64 z y) y (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x)) (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (sqrt.f64 z) y) z) (.f64 y y)))) (fma.f64 y (fma.f64 z y (.f64 (sqrt.f64 z) x)) (*.f64 x x)))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 z) y) z) (.f64 y y) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (-.f64 (.f64 (sqrt.f64 z) y) x) (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 (.f64 z y) y)))) (-.f64 (.f64 x x) (.f64 y (-.f64 (.f64 z y) (*.f64 (sqrt.f64 z) x)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 z) y) z) (.f64 y y) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) x)) x (.f64 (.f64 (.f64 (-.f64 (.f64 (sqrt.f64 z) y) x) (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 (.f64 z y) y)) (.f64 y (-.f64 (.f64 z y) (.f64 (sqrt.f64 z) x)))))) (fma.f64 (.f64 y (-.f64 (.f64 z y) (.f64 (sqrt.f64 z) x))) (-.f64 (.f64 y (-.f64 (.f64 z y) (.f64 (sqrt.f64 z) x))) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))))
(.f64 (/.f64 (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x)) (fma.f64 (neg.f64 z) (.f64 y y) (*.f64 x x))) (fma.f64 (sqrt.f64 z) y x))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 z y) y (.f64 x x)) (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x))) (-.f64 x (.f64 (sqrt.f64 z) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z y) y (*.f64 x x))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) x)) x (.f64 (.f64 (neg.f64 z) (.f64 y y)) (.f64 (.f64 (.f64 z y) y) (.f64 (.f64 z y) y)))) (-.f64 x (.f64 (sqrt.f64 z) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 z y) y) (fma.f64 (.f64 z y) y (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) x)) x (.f64 (.f64 (neg.f64 z) (.f64 y y)) (.f64 (.f64 (.f64 z y) y) (.f64 (.f64 z y) y)))) (fma.f64 (.f64 z y) y (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (sqrt.f64 z) y) z) (.f64 y y)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (sqrt.f64 z) z)) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x))) (fma.f64 (.f64 z y) y (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 z) y) z) (.f64 y y)) (-.f64 (.f64 (.f64 (.f64 (sqrt.f64 z) y) z) (.f64 y y)) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x)))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 z) y) z) (.f64 y y) (.f64 (.f64 x x) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z y) y (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))))))
(.f64 (-.f64 (.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (sqrt.f64 z) y)))) (.f64 x (/.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))))) (.f64 (.f64 (.f64 z y) (/.f64 y (-.f64 x (.f64 (sqrt.f64 z) y)))) (.f64 (.f64 z y) (/.f64 y (-.f64 x (.f64 (sqrt.f64 z) y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))) (.f64 (.f64 z y) (/.f64 y (-.f64 x (*.f64 (sqrt.f64 z) y)))))))
(.f64 (-.f64 (.f64 (.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (sqrt.f64 z) y)))) (.f64 x (/.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))))) (.f64 x (/.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))))) (.f64 (.f64 (.f64 (.f64 z y) (/.f64 y (-.f64 x (.f64 (sqrt.f64 z) y)))) (.f64 (.f64 z y) (/.f64 y (-.f64 x (.f64 (sqrt.f64 z) y))))) (.f64 (.f64 z y) (/.f64 y (-.f64 x (.f64 (sqrt.f64 z) y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (sqrt.f64 z) y)))) (.f64 x (/.f64 x (-.f64 x (.f64 (sqrt.f64 z) y)))) (fma.f64 (.f64 (.f64 z y) (/.f64 y (-.f64 x (.f64 (sqrt.f64 z) y)))) (.f64 (.f64 z y) (/.f64 y (-.f64 x (.f64 (sqrt.f64 z) y)))) (.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (sqrt.f64 z) y)))) (.f64 (.f64 z y) (/.f64 y (-.f64 x (.f64 (sqrt.f64 z) y)))))))))
(.f64 (neg.f64 (fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (sqrt.f64 z) y) x))))
(.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 (sqrt.f64 z) y))))
(.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 z) y) z) (.f64 y y) (.f64 (.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z y) y (.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y))))))
(.f64 (.f64 (.f64 (fma.f64 (.f64 z y) y (.f64 x x)) (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z y) y (.f64 x x)) (-.f64 x (*.f64 (sqrt.f64 z) y)))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) x)) x (.f64 (.f64 (neg.f64 z) (.f64 y y)) (.f64 (.f64 (.f64 z y) y) (.f64 (.f64 z y) y)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (.f64 z y) y) (fma.f64 (.f64 z y) y (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) (-.f64 x (*.f64 (sqrt.f64 z) y)))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) x)) x (.f64 (.f64 (neg.f64 z) (.f64 y y)) (.f64 (.f64 (.f64 z y) y) (.f64 (.f64 z y) y)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (sqrt.f64 z) y) z) (.f64 y y))) (fma.f64 (.f64 z y) y (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y)))))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (sqrt.f64 z) z)) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 z) y) z) (.f64 y y)) (-.f64 (.f64 (.f64 (.f64 (sqrt.f64 z) y) z) (.f64 y y)) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (fma.f64 (.f64 z y) y (.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)))))))
(.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x (.f64 (sqrt.f64 z) y))) (.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) (.f64 (.f64 z y) y))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) (-.f64 x (*.f64 (sqrt.f64 z) y)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 z) y x)))))
(.f64 (.f64 (fma.f64 (.f64 z y) y (.f64 x x)) (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) (fma.f64 (.f64 z y) y (.f64 x x)))))
(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) x)) x (.f64 (.f64 (neg.f64 z) (.f64 y y)) (.f64 (.f64 (.f64 z y) y) (.f64 (.f64 z y) y)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) (fma.f64 (.f64 (.f64 z y) y) (fma.f64 (.f64 z y) y (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))))))
(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) x)) x (.f64 (.f64 (neg.f64 z) (.f64 y y)) (.f64 (.f64 (.f64 z y) y) (.f64 (.f64 z y) y)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z y) y (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y)))) (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (sqrt.f64 z) y) z) (*.f64 y y))))))
(.f64 (fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (sqrt.f64 z) y) x)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 (sqrt.f64 z) y))) (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z y) y (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))))) (fma.f64 (.f64 (.f64 (sqrt.f64 z) y) z) (.f64 y y) (.f64 (*.f64 x x) x)))
(.f64 (fma.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (sqrt.f64 z) z)) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z y) y (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y)))) (fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 z) y) z) (.f64 y y)) (-.f64 (.f64 (.f64 (.f64 (sqrt.f64 z) y) z) (.f64 y y)) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))))))
(.f64 (neg.f64 (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (.f64 (sqrt.f64 z) y)))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 z) y) z) (.f64 y y) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 z y) y (.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)))))))
(.f64 (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 (sqrt.f64 z) y))))
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(fma.f64 (sqrt.f64 z) (.f64 y #s(literal 1/2 binary64)) (.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 x #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 z y) y)) (-.f64 (.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 (.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (-.f64 x (.f64 (sqrt.f64 z) y)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 z y) y)) (.f64 #s(literal 1/2 binary64) (-.f64 x (*.f64 (sqrt.f64 z) y)))))
(+.f64 (.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(*.f64 (exp.f64 (log.f64 y)) (sqrt.f64 z))
(.f64 (pow.f64 (.f64 y (pow.f64 z #s(literal 1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 (pow.f64 z #s(literal 1/4 binary64)) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (sqrt.f64 z))
(.f64 (.f64 y (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) y))
(*.f64 (sqrt.f64 z) (exp.f64 (log.f64 y)))
(*.f64 (sqrt.f64 z) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 z) y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 z) y)))
(*.f64 (sqrt.f64 (pow.f64 z #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 z #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3/4 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 (pow.f64 z #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 z #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 z))
(pow.f64 (*.f64 z z) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64))
(pow.f64 z #s(literal 1/2 binary64))
(sqrt.f64 z)
(fabs.f64 (sqrt.f64 z))
(exp.f64 (fma.f64 (log.f64 z) #s(literal 1/4 binary64) (*.f64 (log.f64 z) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 z z)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))

eval68.0ms (1%)

Memory: 21.3MiB live, 59.0MiB allocated
Compiler: Compiled 11 782 to 920 computations (92.2% saved)

prune85.0ms (1.3%)

Memory

-13.9MiB live, 71.1MiB 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
▶	99.6%	(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 y #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
	51.6%	(/.f64 (.f64 (fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (-.f64 (.f64 (sqrt.f64 z) y) x))
▶	46.4%	(/.f64 (.f64 (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x)) #s(literal 1/2 binary64)) (-.f64 x (.f64 (sqrt.f64 z) y)))
	99.7%	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 z) y x)))
▶	99.9%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
▶	94.0%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
	49.2%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))
▶	52.4%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 226 to 148 computations (34.5% saved)

simplify176.0ms (2.7%)

Memory

13.5MiB live, 167.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y #s(literal 1/2 binary64))
cost-diff	0	(.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 y #s(literal 1/2 binary64)))
cost-diff	0	(pow.f64 z #s(literal 1/4 binary64))
cost-diff	12928	(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 y #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
cost-diff	0	(neg.f64 z)
cost-diff	0	(fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x))
cost-diff	0	(.f64 (fma.f64 (neg.f64 z) (.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (.f64 (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x)) #s(literal 1/2 binary64)) (-.f64 x (.f64 (sqrt.f64 z) y)))
cost-diff	0	(*.f64 z y)
cost-diff	0	(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
cost-diff	0	(.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(fma.f64 (sqrt.f64 z) y x)
cost-diff	0	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))

Rules

12 522×	`lower-fma.f32`
12 514×	`lower-fma.f64`
2 398×	`lower-*.f32`
2 376×	`lower-*.f64`
1 218×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	187
0	61	178
1	106	178
2	182	178
3	321	178
4	624	178
5	1041	178
6	1923	178
7	4668	178
8	6029	178
9	6339	178
10	6635	178
11	6970	178
12	6990	178
13	7903	178
0	8116	178

Stop Event

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

Calls

Call 1

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

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

localize95.0ms (1.4%)

Memory

-17.8MiB live, 178.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y #s(literal 1/2 binary64))
accuracy	0	(*.f64 x #s(literal 1/2 binary64))
accuracy	0.19369125976844204	(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 y #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
accuracy	0.21484375	(.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 y #s(literal 1/2 binary64)))
accuracy	0.01171875	(-.f64 x (*.f64 (sqrt.f64 z) y))
accuracy	0.21875	(*.f64 (sqrt.f64 z) y)
accuracy	6.854162379281323	(fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x))
accuracy	30.414217100771587	(/.f64 (.f64 (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x)) #s(literal 1/2 binary64)) (-.f64 x (.f64 (sqrt.f64 z) y)))
accuracy	0	(*.f64 z y)
accuracy	0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
accuracy	0.13671875	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	3.8299047764401877	(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	30.477578898155414	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
accuracy	0	(sqrt.f64 z)
accuracy	0.08984375	(fma.f64 (sqrt.f64 z) y x)

Samples

71.0ms

256×

valid

Compiler

Compiled 185 to 38 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 25.0ms (49.3% of total)

ival-pow: 9.0ms (17.8% of total)

ival-div: 5.0ms (9.9% of total)

ival-add: 5.0ms (9.9% of total)

ival-sqrt: 4.0ms (7.9% of total)

ival-sub: 1.0ms (2% of total)

ival-neg: 1.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series264.0ms (4%)

Memory

-23.9MiB live, 264.2MiB allocated

Counts

21 → 552

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
49.0ms	z	@	inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (- x (* (sqrt z) y))) (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (+ (* (neg z) (* y y)) (* x x)) (neg z) (+ (* (pow z 1/4) (* (pow z 1/4) (* y 1/2))) (* x 1/2)) (pow z 1/4) (* (pow z 1/4) (* y 1/2)) (* y 1/2) (sqrt (/ 1 z)) (* (sqrt z) y) (- x (* (sqrt z) y)) (* x 1/2))
46.0ms	y	@	0	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (- x (* (sqrt z) y))) (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (+ (* (neg z) (* y y)) (* x x)) (neg z) (+ (* (pow z 1/4) (* (pow z 1/4) (* y 1/2))) (* x 1/2)) (pow z 1/4) (* (pow z 1/4) (* y 1/2)) (* y 1/2) (sqrt (/ 1 z)) (* (sqrt z) y) (- x (* (sqrt z) y)) (* x 1/2))
40.0ms	y	@	inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (- x (* (sqrt z) y))) (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (+ (* (neg z) (* y y)) (* x x)) (neg z) (+ (* (pow z 1/4) (* (pow z 1/4) (* y 1/2))) (* x 1/2)) (pow z 1/4) (* (pow z 1/4) (* y 1/2)) (* y 1/2) (sqrt (/ 1 z)) (* (sqrt z) y) (- x (* (sqrt z) y)) (* x 1/2))
35.0ms	z	@	-inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (- x (* (sqrt z) y))) (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (+ (* (neg z) (* y y)) (* x x)) (neg z) (+ (* (pow z 1/4) (* (pow z 1/4) (* y 1/2))) (* x 1/2)) (pow z 1/4) (* (pow z 1/4) (* y 1/2)) (* y 1/2) (sqrt (/ 1 z)) (* (sqrt z) y) (- x (* (sqrt z) y)) (* x 1/2))
32.0ms	z	@	0	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (- x (* (sqrt z) y))) (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (+ (* (neg z) (* y y)) (* x x)) (neg z) (+ (* (pow z 1/4) (* (pow z 1/4) (* y 1/2))) (* x 1/2)) (pow z 1/4) (* (pow z 1/4) (* y 1/2)) (* y 1/2) (sqrt (/ 1 z)) (* (sqrt z) y) (- x (* (sqrt z) y)) (* x 1/2))

simplify160.0ms (2.4%)

Memory

34.9MiB live, 265.9MiB allocated

Algorithm

1×	egg-herbie

Rules

6 688×	`lower-fma.f64`
6 688×	`lower-fma.f32`
5 222×	`lower-*.f64`
5 222×	`lower-*.f32`
3 334×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	220	4642
1	732	4508
2	2744	4371
3	6542	4354
0	8124	4150

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 543

Calls

Call 1

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

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

rewrite344.0ms (5.2%)

Memory

-17.5MiB live, 382.9MiB allocated

Rules

5 080×	`lower-fma.f32`
5 072×	`lower-fma.f64`
4 264×	`lower-*.f32`
4 244×	`lower-*.f64`
3 822×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	156
0	61	128
1	201	126
2	1235	123
0	9008	123

Stop Event

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

Counts

21 → 1 407

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (neg.f64 z) y) y (.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(.f64 (/.f64 (fma.f64 (.f64 (neg.f64 z) y) y (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (-.f64 x (.f64 y (sqrt.f64 z)))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (neg.f64 z) y) y (.f64 x x)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (.f64 (neg.f64 z) y) y (.f64 x x)) (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (sqrt.f64 z)) x)))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (neg.f64 z) y) y (.f64 x x)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (.f64 (neg.f64 z) y) y (.f64 x x)) (fma.f64 (.f64 (.f64 y y) y) (.f64 (sqrt.f64 z) z) (.f64 (.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x (.f64 (.f64 y y) z)) (.f64 (*.f64 y (sqrt.f64 z)) x))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (neg.f64 z) y) y (.f64 x x)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (.f64 (neg.f64 z) y) y (.f64 x x)) (fma.f64 (.f64 (.f64 y y) y) (.f64 (sqrt.f64 z) z) (.f64 (.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 y (sqrt.f64 z)))))))
(.f64 (/.f64 (neg.f64 (fma.f64 (.f64 (neg.f64 z) y) y (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (-.f64 x (.f64 y (sqrt.f64 z)))))
(.f64 (/.f64 (fma.f64 (.f64 (neg.f64 z) y) y (.f64 x x)) (/.f64 (fma.f64 (.f64 (neg.f64 z) y) y (.f64 x x)) (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)))) (/.f64 #s(literal 1/2 binary64) (-.f64 (.f64 y (sqrt.f64 z)) x)))
(.f64 (/.f64 (fma.f64 (.f64 (neg.f64 z) y) y (.f64 x x)) (/.f64 (fma.f64 (.f64 (neg.f64 z) y) y (.f64 x x)) (fma.f64 (.f64 (.f64 y y) y) (.f64 (sqrt.f64 z) z) (.f64 (.f64 x x) x)))) (/.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x x (.f64 (.f64 y y) z)) (.f64 (.f64 y (sqrt.f64 z)) x))))
(.f64 (/.f64 (fma.f64 (.f64 (neg.f64 z) y) y (.f64 x x)) (/.f64 (fma.f64 (.f64 (neg.f64 z) y) y (.f64 x x)) (fma.f64 (.f64 (.f64 y y) y) (.f64 (sqrt.f64 z) z) (.f64 (.f64 x x) x)))) (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (*.f64 y (sqrt.f64 z)))))))
(.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 (neg.f64 z) y) y (.f64 x x)) (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)))) (/.f64 (fma.f64 (.f64 (neg.f64 z) y) y (.f64 x x)) (-.f64 (.f64 y (sqrt.f64 z)) x)))
(.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 (neg.f64 z) y) y (.f64 x x)) (fma.f64 (.f64 (.f64 y y) y) (.f64 (sqrt.f64 z) z) (.f64 (.f64 x x) x)))) (/.f64 (fma.f64 (.f64 (neg.f64 z) y) y (.f64 x x)) (-.f64 (fma.f64 x x (.f64 (.f64 y y) z)) (.f64 (.f64 y (sqrt.f64 z)) x))))
(.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 (neg.f64 z) y) y (.f64 x x)) (fma.f64 (.f64 (.f64 y y) y) (.f64 (sqrt.f64 z) z) (.f64 (.f64 x x) x)))) (/.f64 (fma.f64 (.f64 (neg.f64 z) y) y (.f64 x x)) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (*.f64 y (sqrt.f64 z)))))))
(.f64 (/.f64 (fma.f64 (.f64 (neg.f64 z) y) y (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (-.f64 x (.f64 y (sqrt.f64 z)))))
(.f64 (/.f64 (fma.f64 (.f64 (neg.f64 z) y) y (.f64 x x)) (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 y y) y) (.f64 (sqrt.f64 z) z)))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (.f64 y (sqrt.f64 z)) x (.f64 (.f64 y y) z))))))
(.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (neg.f64 z) y) y (.f64 x x))) (/.f64 (fma.f64 (.f64 (neg.f64 z) y) y (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))))
(.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 y y) y) (.f64 (sqrt.f64 z) z)))) (/.f64 (fma.f64 (.f64 (neg.f64 z) y) y (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (.f64 y (sqrt.f64 z)) x (.f64 (.f64 y y) z))))))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) (fma.f64 y (sqrt.f64 z) x)) (fma.f64 y (sqrt.f64 z) x))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (fma.f64 (.f64 y (sqrt.f64 z)) x (.f64 (.f64 y y) z)))) (fma.f64 y (sqrt.f64 z) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (.f64 y (sqrt.f64 z)) x (.f64 (.f64 y y) z))))))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (fma.f64 (.f64 y (sqrt.f64 z)) x (.f64 (.f64 y y) z)))) (fma.f64 y (sqrt.f64 z) x)) (fma.f64 x x (fma.f64 (.f64 y (sqrt.f64 z)) x (.f64 (.f64 y y) z))))
(.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 y y) z) (.f64 (.f64 y y) z)) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1/2 binary64) (-.f64 x (.f64 y (sqrt.f64 z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (neg.f64 z) y) y (*.f64 (neg.f64 x) x))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 z z) (neg.f64 z)) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (-.f64 x (.f64 y (sqrt.f64 z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y y) z) (.f64 (.f64 y y) z) (.f64 (.f64 x x) (fma.f64 x x (.f64 (*.f64 y y) z))))))
(.f64 (.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (sqrt.f64 z)) x)))
(.f64 (.f64 (fma.f64 (.f64 (.f64 y y) y) (.f64 (sqrt.f64 z) z) (.f64 (.f64 x x) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x (.f64 (.f64 y y) z)) (.f64 (*.f64 y (sqrt.f64 z)) x))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 y y) y) (.f64 (sqrt.f64 z) z) (.f64 (.f64 x x) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 y (sqrt.f64 z)))))))
(.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (sqrt.f64 z)) x)))
(.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (.f64 y y) y) (.f64 (sqrt.f64 z) z) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x (.f64 (.f64 y y) z)) (.f64 (*.f64 y (sqrt.f64 z)) x))))
(.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (.f64 y y) y) (.f64 (sqrt.f64 z) z) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 y (sqrt.f64 z)))))))
(.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (.f64 (.f64 y y) z) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 y (sqrt.f64 z)))) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 (neg.f64 z) y) y (*.f64 x x)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 y (sqrt.f64 z)))) (.f64 (fma.f64 (.f64 (neg.f64 z) y) y (*.f64 x x)) #s(literal 1/2 binary64)))
(.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 y y) z) #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y (.f64 #s(literal -1/2 binary64) x)))))
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eval704.0ms (10.7%)

Memory: 35.8MiB live, 539.9MiB allocated
Compiler: Compiled 63 336 to 2 608 computations (95.9% saved)

prune290.0ms (4.4%)

Memory

-15.1MiB live, 344.3MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	2 022	5	2 027
Fresh	3	0	3
Picked	3	2	5
Done	0	0	0
Total	2 028	7	2 035

Accuracy

100.0%

Counts

2 035 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.8%	(*.f64 (fma.f64 (/.f64 z (pow.f64 z #s(literal 3/8 binary64))) (/.f64 y (pow.f64 z #s(literal 1/8 binary64))) x) #s(literal 1/2 binary64))
▶	99.8%	(*.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64))
▶	93.5%	(*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64))
✓	99.9%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
▶	90.1%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
▶	49.2%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
✓	52.4%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 149 to 102 computations (31.5% saved)

simplify193.0ms (2.9%)

Memory

-0.5MiB live, 151.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 z #s(literal 3/8 binary64))
cost-diff	0	(/.f64 z (pow.f64 z #s(literal 3/8 binary64)))
cost-diff	0	(*.f64 (fma.f64 (/.f64 z (pow.f64 z #s(literal 3/8 binary64))) (/.f64 y (pow.f64 z #s(literal 1/8 binary64))) x) #s(literal 1/2 binary64))
cost-diff	384	(fma.f64 (/.f64 z (pow.f64 z #s(literal 3/8 binary64))) (/.f64 y (pow.f64 z #s(literal 1/8 binary64))) x)
cost-diff	0	(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
cost-diff	1024	(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(/.f64 y (sqrt.f64 z))
cost-diff	0	(fma.f64 (/.f64 y (sqrt.f64 z)) z x)
cost-diff	0	(*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(*.f64 (sqrt.f64 z) y)
cost-diff	0	#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(/.f64 z (sqrt.f64 z))
cost-diff	0	(fma.f64 (/.f64 z (sqrt.f64 z)) y x)
cost-diff	0	(*.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64))

Rules

6 842×	`lower-*.f32`
6 830×	`lower-*.f64`
4 214×	`associate-/r/`
3 214×	`lower-/.f32`
3 204×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	193
0	54	193
1	82	193
2	120	193
3	196	193
4	362	184
5	508	184
6	1232	184
7	2149	184
8	2267	184
9	2274	184
10	2281	184
11	2283	184
12	2283	184
13	3864	184
14	3905	184
15	3952	184
16	3998	184
17	4042	184
18	4112	184
19	4537	184
20	4575	184
21	4615	184
22	4657	184
23	4701	184
24	5724	184
25	7207	184
26	7914	184
0	8038	177

Stop Event

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

Calls

Call 1

Inputs
(*.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64))
(fma.f64 (/.f64 z (sqrt.f64 z)) y x)
(/.f64 z (sqrt.f64 z))
z
(sqrt.f64 z)
y
x
#s(literal 1/2 binary64)
(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))
(*.f64 (sqrt.f64 z) y)
(sqrt.f64 z)
z
y
#s(literal 1/2 binary64)
(*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64))
(fma.f64 (/.f64 y (sqrt.f64 z)) z x)
(/.f64 y (sqrt.f64 z))
y
(sqrt.f64 z)
z
x
#s(literal 1/2 binary64)
(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
(/.f64 y x)
y
x
(sqrt.f64 z)
z
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(*.f64 (fma.f64 (/.f64 z (pow.f64 z #s(literal 3/8 binary64))) (/.f64 y (pow.f64 z #s(literal 1/8 binary64))) x) #s(literal 1/2 binary64))
(fma.f64 (/.f64 z (pow.f64 z #s(literal 3/8 binary64))) (/.f64 y (pow.f64 z #s(literal 1/8 binary64))) x)
(/.f64 z (pow.f64 z #s(literal 3/8 binary64)))
z
(pow.f64 z #s(literal 3/8 binary64))
#s(literal 3/8 binary64)
(/.f64 y (pow.f64 z #s(literal 1/8 binary64)))
y
(pow.f64 z #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
x
#s(literal 1/2 binary64)

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

localize103.0ms (1.6%)

Memory

-8.7MiB live, 200.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(pow.f64 z #s(literal 3/8 binary64))
accuracy	0.25	(/.f64 z (pow.f64 z #s(literal 3/8 binary64)))
accuracy	0.2578125	(/.f64 y (pow.f64 z #s(literal 1/8 binary64)))
accuracy	1.3597103072725987	(fma.f64 (/.f64 z (pow.f64 z #s(literal 3/8 binary64))) (/.f64 y (pow.f64 z #s(literal 1/8 binary64))) x)
accuracy	0	(sqrt.f64 z)
accuracy	0	#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))
accuracy	1.2716455545379242	(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
accuracy	5.040997589675718	(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)
accuracy	0	(*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64))
accuracy	0	(sqrt.f64 z)
accuracy	0.25	(/.f64 y (sqrt.f64 z))
accuracy	4.1237567668583734	(fma.f64 (/.f64 y (sqrt.f64 z)) z x)
accuracy	0	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
accuracy	0	(sqrt.f64 z)
accuracy	0.21875	(*.f64 (sqrt.f64 z) y)
accuracy	32.43075108478573	#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))
accuracy	0	(*.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64))
accuracy	0	(sqrt.f64 z)
accuracy	0.08984375	(fma.f64 (/.f64 z (sqrt.f64 z)) y x)
accuracy	0.5234375	(/.f64 z (sqrt.f64 z))

Samples

78.0ms

256×

valid

Compiler

Compiled 173 to 32 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 27.0ms (49.1% of total)

ival-pow: 11.0ms (20% of total)

ival-div: 8.0ms (14.6% of total)

ival-add: 5.0ms (9.1% of total)

ival-sqrt: 2.0ms (3.6% of total)

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

exact: 0.0ms (0% of total)

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

series284.0ms (4.3%)

Memory

27.3MiB live, 373.2MiB allocated

Counts

19 → 552

Calls

Call 1

Inputs
#s(alt (.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64)) (patch (.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 z (sqrt.f64 z)) y x) (patch (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #<representation binary64>) () ())
#s(alt (/.f64 z (sqrt.f64 z)) (patch (/.f64 z (sqrt.f64 z)) #<representation binary64>) () ())
#s(alt (sqrt.f64 z) (patch (sqrt.f64 z) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( (sqrt z) y) x) (.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (sqrt z) y) x) (.f64 (sqrt.f64 z) y)) (patch #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 z) y) (patch (.f64 (sqrt.f64 z) y) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64)) (patch (.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 y (sqrt.f64 z)) z x) (patch (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #<representation binary64>) () ())
#s(alt (/.f64 y (sqrt.f64 z)) (patch (/.f64 y (sqrt.f64 z)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( (sqrt z) y) x) (.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (sqrt z) y) x) (.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) (patch #s(approx (+ ( (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 z (pow.f64 z #s(literal 3/8 binary64))) (/.f64 y (pow.f64 z #s(literal 1/8 binary64))) x) (patch (fma.f64 (/.f64 z (pow.f64 z #s(literal 3/8 binary64))) (/.f64 y (pow.f64 z #s(literal 1/8 binary64))) x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (/.f64 z (pow.f64 z #s(literal 3/8 binary64))) (/.f64 y (pow.f64 z #s(literal 1/8 binary64))) x) #s(literal 1/2 binary64)) (patch (.f64 (fma.f64 (/.f64 z (pow.f64 z #s(literal 3/8 binary64))) (/.f64 y (pow.f64 z #s(literal 1/8 binary64))) x) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 z (pow.f64 z #s(literal 3/8 binary64))) (patch (/.f64 z (pow.f64 z #s(literal 3/8 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 z #s(literal 3/8 binary64)) (patch (pow.f64 z #s(literal 3/8 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 y (pow.f64 z #s(literal 1/8 binary64))) (patch (/.f64 y (pow.f64 z #s(literal 1/8 binary64))) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64)) (patch (.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64)) (patch (.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64)) (patch (.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64)) (patch (.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 z (sqrt.f64 z)) y x) (patch (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 z (sqrt.f64 z)) y x) (patch (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 z (sqrt.f64 z)) y x) (patch (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 z (sqrt.f64 z)) y x) (patch (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #<representation binary64>) () ())) ())
#s(alt (sqrt z) (taylor 0 z) (#s(alt (/.f64 z (sqrt.f64 z)) (patch (/.f64 z (sqrt.f64 z)) #<representation binary64>) () ())) ())
#s(alt (sqrt z) (taylor 0 z) (#s(alt (/.f64 z (sqrt.f64 z)) (patch (/.f64 z (sqrt.f64 z)) #<representation binary64>) () ())) ())
#s(alt (sqrt z) (taylor 0 z) (#s(alt (/.f64 z (sqrt.f64 z)) (patch (/.f64 z (sqrt.f64 z)) #<representation binary64>) () ())) ())
#s(alt (sqrt z) (taylor 0 z) (#s(alt (/.f64 z (sqrt.f64 z)) (patch (/.f64 z (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 (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (.f64 #s(approx (+ ( (sqrt z) y) x) (.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (.f64 #s(approx (+ ( (sqrt z) y) x) (.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (.f64 #s(approx (+ ( (sqrt z) y) x) (.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (.f64 #s(approx (+ ( (sqrt z) y) x) (.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt #s(approx (+ (* (sqrt z) y) x) (.f64 (sqrt.f64 z) y)) (patch #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt #s(approx (+ (* (sqrt z) y) x) (.f64 (sqrt.f64 z) y)) (patch #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt #s(approx (+ (* (sqrt z) y) x) (.f64 (sqrt.f64 z) y)) (patch #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt #s(approx (+ (* (sqrt z) y) x) (.f64 (sqrt.f64 z) y)) (patch #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (* y (sqrt z)) (taylor 0 z) (#s(alt (.f64 (sqrt.f64 z) y) (patch (.f64 (sqrt.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (* y (sqrt z)) (taylor 0 z) (#s(alt (.f64 (sqrt.f64 z) y) (patch (.f64 (sqrt.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (* y (sqrt z)) (taylor 0 z) (#s(alt (.f64 (sqrt.f64 z) y) (patch (.f64 (sqrt.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (* y (sqrt z)) (taylor 0 z) (#s(alt (.f64 (sqrt.f64 z) y) (patch (.f64 (sqrt.f64 z) y) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) (taylor -inf x) (#s(alt (.f64 #s(approx (+ ( (sqrt z) y) x) (.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) (taylor -inf x) (#s(alt (.f64 #s(approx (+ ( (sqrt z) y) x) (.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) (taylor -inf x) (#s(alt (.f64 #s(approx (+ ( (sqrt z) y) x) (.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (* (sqrt z) y) x) (.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) (patch #s(approx (+ ( (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (sqrt z) y) x) (.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) (patch #s(approx (+ ( (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (sqrt z) y) x) (.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) (patch #s(approx (+ ( (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (sqrt z) y) x) (.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) (patch #s(approx (+ ( (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (/ y x) (sqrt z))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (/ y x) (sqrt z))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (/ y x) (sqrt z))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (/.f64 z (pow.f64 z #s(literal 3/8 binary64))) (/.f64 y (pow.f64 z #s(literal 1/8 binary64))) x) (patch (fma.f64 (/.f64 z (pow.f64 z #s(literal 3/8 binary64))) (/.f64 y (pow.f64 z #s(literal 1/8 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z (pow.f64 z #s(literal 3/8 binary64))) (/.f64 y (pow.f64 z #s(literal 1/8 binary64))) x) (patch (fma.f64 (/.f64 z (pow.f64 z #s(literal 3/8 binary64))) (/.f64 y (pow.f64 z #s(literal 1/8 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z (pow.f64 z #s(literal 3/8 binary64))) (/.f64 y (pow.f64 z #s(literal 1/8 binary64))) x) (patch (fma.f64 (/.f64 z (pow.f64 z #s(literal 3/8 binary64))) (/.f64 y (pow.f64 z #s(literal 1/8 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z (pow.f64 z #s(literal 3/8 binary64))) (/.f64 y (pow.f64 z #s(literal 1/8 binary64))) x) (patch (fma.f64 (/.f64 z (pow.f64 z #s(literal 3/8 binary64))) (/.f64 y (pow.f64 z #s(literal 1/8 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 (fma.f64 (/.f64 z (pow.f64 z #s(literal 3/8 binary64))) (/.f64 y (pow.f64 z #s(literal 1/8 binary64))) x) #s(literal 1/2 binary64)) (patch (.f64 (fma.f64 (/.f64 z (pow.f64 z #s(literal 3/8 binary64))) (/.f64 y (pow.f64 z #s(literal 1/8 binary64))) x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (/.f64 z (pow.f64 z #s(literal 3/8 binary64))) (/.f64 y (pow.f64 z #s(literal 1/8 binary64))) x) #s(literal 1/2 binary64)) (patch (.f64 (fma.f64 (/.f64 z (pow.f64 z #s(literal 3/8 binary64))) (/.f64 y (pow.f64 z #s(literal 1/8 binary64))) x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (/.f64 z (pow.f64 z #s(literal 3/8 binary64))) (/.f64 y (pow.f64 z #s(literal 1/8 binary64))) x) #s(literal 1/2 binary64)) (patch (.f64 (fma.f64 (/.f64 z (pow.f64 z #s(literal 3/8 binary64))) (/.f64 y (pow.f64 z #s(literal 1/8 binary64))) x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (/.f64 z (pow.f64 z #s(literal 3/8 binary64))) (/.f64 y (pow.f64 z #s(literal 1/8 binary64))) x) #s(literal 1/2 binary64)) (patch (.f64 (fma.f64 (/.f64 z (pow.f64 z #s(literal 3/8 binary64))) (/.f64 y (pow.f64 z #s(literal 1/8 binary64))) x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
47.0ms	z	@	0	((* (+ (* (/ z (sqrt z)) y) x) 1/2) (+ (* (/ z (sqrt z)) y) x) (/ z (sqrt z)) (sqrt z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (* (+ (* (/ y (sqrt z)) z) x) 1/2) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (* (+ (* (/ y x) (sqrt z)) 1) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (/ y x) (sqrt z)) 1) (+ (* (/ z (pow z 3/8)) (/ y (pow z 1/8))) x) (* (+ (* (/ z (pow z 3/8)) (/ y (pow z 1/8))) x) 1/2) (/ z (pow z 3/8)) (pow z 3/8) (/ y (pow z 1/8)))
44.0ms	z	@	inf	((* (+ (* (/ z (sqrt z)) y) x) 1/2) (+ (* (/ z (sqrt z)) y) x) (/ z (sqrt z)) (sqrt z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (* (+ (* (/ y (sqrt z)) z) x) 1/2) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (* (+ (* (/ y x) (sqrt z)) 1) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (/ y x) (sqrt z)) 1) (+ (* (/ z (pow z 3/8)) (/ y (pow z 1/8))) x) (* (+ (* (/ z (pow z 3/8)) (/ y (pow z 1/8))) x) 1/2) (/ z (pow z 3/8)) (pow z 3/8) (/ y (pow z 1/8)))
41.0ms	y	@	0	((* (+ (* (/ z (sqrt z)) y) x) 1/2) (+ (* (/ z (sqrt z)) y) x) (/ z (sqrt z)) (sqrt z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (* (+ (* (/ y (sqrt z)) z) x) 1/2) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (* (+ (* (/ y x) (sqrt z)) 1) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (/ y x) (sqrt z)) 1) (+ (* (/ z (pow z 3/8)) (/ y (pow z 1/8))) x) (* (+ (* (/ z (pow z 3/8)) (/ y (pow z 1/8))) x) 1/2) (/ z (pow z 3/8)) (pow z 3/8) (/ y (pow z 1/8)))
33.0ms	z	@	-inf	((* (+ (* (/ z (sqrt z)) y) x) 1/2) (+ (* (/ z (sqrt z)) y) x) (/ z (sqrt z)) (sqrt z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (* (+ (* (/ y (sqrt z)) z) x) 1/2) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (* (+ (* (/ y x) (sqrt z)) 1) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (/ y x) (sqrt z)) 1) (+ (* (/ z (pow z 3/8)) (/ y (pow z 1/8))) x) (* (+ (* (/ z (pow z 3/8)) (/ y (pow z 1/8))) x) 1/2) (/ z (pow z 3/8)) (pow z 3/8) (/ y (pow z 1/8)))
29.0ms	y	@	inf	((* (+ (* (/ z (sqrt z)) y) x) 1/2) (+ (* (/ z (sqrt z)) y) x) (/ z (sqrt z)) (sqrt z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (* (+ (* (/ y (sqrt z)) z) x) 1/2) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (* (+ (* (/ y x) (sqrt z)) 1) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (/ y x) (sqrt z)) 1) (+ (* (/ z (pow z 3/8)) (/ y (pow z 1/8))) x) (* (+ (* (/ z (pow z 3/8)) (/ y (pow z 1/8))) x) 1/2) (/ z (pow z 3/8)) (pow z 3/8) (/ y (pow z 1/8)))

simplify171.0ms (2.6%)

Memory

7.4MiB live, 172.9MiB allocated

Algorithm

1×	egg-herbie

Rules

4 582×	`lower-fma.f64`
4 582×	`lower-fma.f32`
3 588×	`lower-*.f64`
3 588×	`lower-*.f32`
1 992×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	3854
1	477	3839
2	1527	3674
3	3118	3674
4	5295	3666
5	7725	3666
0	8233	3330

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 534

Calls

Call 1

Inputs
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* x (+ 1 (* (/ y x) (sqrt z))))
(* x (+ 1 (* (/ y x) (sqrt z))))
(* x (+ 1 (* (/ y x) (sqrt z))))
(* x (+ 1 (* (/ y x) (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ 1 (* (/ y x) (sqrt z)))
(+ 1 (* (/ y x) (sqrt z)))
(+ 1 (* (/ y x) (sqrt z)))
(+ 1 (* (/ y x) (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(pow (* 1 (pow z 5)) 1/8)
(pow (* 1 (pow z 5)) 1/8)
(pow (* 1 (pow z 5)) 1/8)
(pow (* 1 (pow z 5)) 1/8)
(pow (* 1 (pow z 3)) 1/8)
(pow (* 1 (pow z 3)) 1/8)
(pow (* 1 (pow z 3)) 1/8)
(pow (* 1 (pow z 3)) 1/8)
(* (pow (/ 1 z) 1/8) y)
(* (pow (/ 1 z) 1/8) y)
(* (pow (/ 1 z) 1/8) y)
(* (pow (/ 1 z) 1/8) y)
(* 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))))
(* y (sqrt z))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(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))))
(* 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))
(* y (sqrt z))
(* y (sqrt z))
(* 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))))
(* 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 (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 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)))
(* 1/2 (* 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))))
(* 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 x) (sqrt z))
(* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))
(* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))
(* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 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)))
(* 1/2 (* 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))))
(pow (* 1 (pow z 5)) 1/8)
(pow (* 1 (pow z 5)) 1/8)
(pow (* 1 (pow z 5)) 1/8)
(pow (* 1 (pow z 5)) 1/8)
(pow (* 1 (pow z 3)) 1/8)
(pow (* 1 (pow z 3)) 1/8)
(pow (* 1 (pow z 3)) 1/8)
(pow (* 1 (pow z 3)) 1/8)
(* (pow (/ 1 z) 1/8) y)
(* (pow (/ 1 z) 1/8) y)
(* (pow (/ 1 z) 1/8) y)
(* (pow (/ 1 z) 1/8) y)
(* 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)))))
(* 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)))))
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1/2 (* (* y (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 (* (* 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 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* 1/2 (* 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)))))
(* 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 (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 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 (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 (* (* 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 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))
(* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))
(* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))
(* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))
(* (pow -1 1/4) (* (* y (sqrt -1)) (sqrt z)))
(* -1 (* z (+ (* -1 (* (pow -1 1/4) (* (* y (sqrt -1)) (sqrt (/ 1 z))))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* (pow -1 1/4) (* (* y (sqrt -1)) (sqrt (/ 1 z))))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* (pow -1 1/4) (* (* y (sqrt -1)) (sqrt (/ 1 z))))) (* -1 (/ x z)))))
(* 1/2 (* (pow -1 1/4) (* (* y (sqrt -1)) (sqrt z))))
(* -1 (* z (+ (* -1/2 (* (pow -1 1/4) (* (* y (sqrt -1)) (sqrt (/ 1 z))))) (* -1/2 (/ x z)))))
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Outputs
(* 1/2 (+ x (* y (sqrt z))))
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(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
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(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
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(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
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(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
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(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(* 1/2 (+ x (* y (sqrt z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(pow (* 1 (pow z 5)) 1/8)
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(pow (* 1 (pow z 3)) 1/8)
(pow.f64 (.f64 (.f64 z z) z) #s(literal 1/8 binary64))
(* (pow (/ 1 z) 1/8) y)
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/8 binary64)) y)
(* (pow (/ 1 z) 1/8) y)
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/8 binary64)) y)
(* (pow (/ 1 z) 1/8) y)
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/8 binary64)) y)
(* (pow (/ 1 z) 1/8) y)
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/8 binary64)) y)
(* 1/2 (* y (sqrt z)))
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(fma.f64 (sqrt.f64 z) y x)
(* y (sqrt z))
(*.f64 (sqrt.f64 z) y)
(+ x (* y (sqrt z)))
(fma.f64 (sqrt.f64 z) y x)
(+ x (* y (sqrt z)))
(fma.f64 (sqrt.f64 z) y x)
(+ x (* y (sqrt z)))
(fma.f64 (sqrt.f64 z) y x)
(* 1/2 (* y (sqrt z)))
(.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(* y (sqrt z))
(*.f64 (sqrt.f64 z) y)
(+ x (* y (sqrt z)))
(fma.f64 (sqrt.f64 z) y x)
(+ x (* y (sqrt z)))
(fma.f64 (sqrt.f64 z) y x)
(+ x (* y (sqrt z)))
(fma.f64 (sqrt.f64 z) y x)
(* (/ y x) (sqrt z))
(/.f64 (*.f64 (sqrt.f64 z) y) x)
(/ (+ x (* y (sqrt z))) x)
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
(/ (+ x (* y (sqrt z))) x)
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
(/ (+ x (* y (sqrt z))) x)
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
(* y (sqrt z))
(*.f64 (sqrt.f64 z) y)
(+ x (* y (sqrt z)))
(fma.f64 (sqrt.f64 z) y x)
(+ x (* y (sqrt z)))
(fma.f64 (sqrt.f64 z) y x)
(+ x (* y (sqrt z)))
(fma.f64 (sqrt.f64 z) y x)
(* 1/2 (* y (sqrt z)))
(.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(fma.f64 (sqrt.f64 z) y x)
(* x (+ 1 (* (/ y x) (sqrt z))))
(fma.f64 (sqrt.f64 z) y x)
(* x (+ 1 (* (/ y x) (sqrt z))))
(fma.f64 (sqrt.f64 z) y x)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(fma.f64 (sqrt.f64 z) y x)
(* x (+ 1 (* (/ y x) (sqrt z))))
(fma.f64 (sqrt.f64 z) y x)
(* x (+ 1 (* (/ y x) (sqrt z))))
(fma.f64 (sqrt.f64 z) y x)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(fma.f64 (sqrt.f64 z) y x)
(* x (+ 1 (* (/ y x) (sqrt z))))
(fma.f64 (sqrt.f64 z) y x)
(* x (+ 1 (* (/ y x) (sqrt z))))
(fma.f64 (sqrt.f64 z) y x)
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(fma.f64 (sqrt.f64 z) y x)
(* x (+ 1 (* (/ y x) (sqrt z))))
(fma.f64 (sqrt.f64 z) y x)
(* x (+ 1 (* (/ y x) (sqrt z))))
(fma.f64 (sqrt.f64 z) y x)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(fma.f64 (sqrt.f64 z) y x)
(* x (+ 1 (* (/ y x) (sqrt z))))
(fma.f64 (sqrt.f64 z) y x)
(* x (+ 1 (* (/ y x) (sqrt z))))
(fma.f64 (sqrt.f64 z) y x)
1
#s(literal 1 binary64)
(+ 1 (* (/ y x) (sqrt z)))
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
(+ 1 (* (/ y x) (sqrt z)))
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
(+ 1 (* (/ y x) (sqrt z)))
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(fma.f64 (sqrt.f64 z) y x)
(* x (+ 1 (* (/ y x) (sqrt z))))
(fma.f64 (sqrt.f64 z) y x)
(* x (+ 1 (* (/ y x) (sqrt z))))
(fma.f64 (sqrt.f64 z) y x)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
x
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(fma.f64 (sqrt.f64 z) y x)
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(fma.f64 (sqrt.f64 z) y x)
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(fma.f64 (sqrt.f64 z) y x)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
x
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(fma.f64 (sqrt.f64 z) y x)
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(fma.f64 (sqrt.f64 z) y x)
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(fma.f64 (sqrt.f64 z) y x)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
x
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(fma.f64 (sqrt.f64 z) y x)
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(fma.f64 (sqrt.f64 z) y x)
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(fma.f64 (sqrt.f64 z) y x)
x
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(fma.f64 (sqrt.f64 z) y x)
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(fma.f64 (sqrt.f64 z) y x)
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(fma.f64 (sqrt.f64 z) y x)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
x
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(fma.f64 (sqrt.f64 z) y x)
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(fma.f64 (sqrt.f64 z) y x)
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(fma.f64 (sqrt.f64 z) y x)
1
#s(literal 1 binary64)
(+ 1 (* (/ y x) (sqrt z)))
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
(+ 1 (* (/ y x) (sqrt z)))
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
(+ 1 (* (/ y x) (sqrt z)))
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
x
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(fma.f64 (sqrt.f64 z) y x)
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(fma.f64 (sqrt.f64 z) y x)
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(fma.f64 (sqrt.f64 z) y x)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))

rewrite185.0ms (2.8%)

Memory

-3.9MiB live, 223.6MiB allocated

Rules

7 068×	`lower-fma.f32`
7 060×	`lower-fma.f64`
4 814×	`lower-*.f32`
4 804×	`lower-*.f64`
2 628×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	159
0	54	151
1	184	151
2	1315	129
0	9128	129

Stop Event

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

Counts

19 → 967

Calls

Call 1

Inputs
(*.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64))
(fma.f64 (/.f64 z (sqrt.f64 z)) y x)
(/.f64 z (sqrt.f64 z))
(sqrt.f64 z)
(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))
(*.f64 (sqrt.f64 z) y)
(*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64))
(fma.f64 (/.f64 y (sqrt.f64 z)) z x)
(/.f64 y (sqrt.f64 z))
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)
(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
(fma.f64 (/.f64 z (pow.f64 z #s(literal 3/8 binary64))) (/.f64 y (pow.f64 z #s(literal 1/8 binary64))) x)
(*.f64 (fma.f64 (/.f64 z (pow.f64 z #s(literal 3/8 binary64))) (/.f64 y (pow.f64 z #s(literal 1/8 binary64))) x) #s(literal 1/2 binary64))
(/.f64 z (pow.f64 z #s(literal 3/8 binary64)))
(pow.f64 z #s(literal 3/8 binary64))
(/.f64 y (pow.f64 z #s(literal 1/8 binary64)))

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

eval219.0ms (3.3%)

Memory: 20.4MiB live, 456.1MiB allocated
Compiler: Compiled 25 968 to 2 578 computations (90.1% saved)

prune121.0ms (1.8%)

Memory

-22.6MiB live, 257.1MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	1 710	4	1 714
Fresh	0	0	0
Picked	4	1	5
Done	0	2	2
Total	1 714	7	1 721

Accuracy

100.0%

Counts

1 721 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
▶	93.5%	(.f64 (fma.f64 #s(approx (/ y (sqrt z)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) z x) #s(literal 1/2 binary64))
▶	44.1%	(.f64 #s(approx (+ ( (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64))
▶	45.0%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64))
▶	44.1%	(.f64 #s(approx (+ ( (sqrt z) y) x) (.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64))
✓	49.2%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
✓	52.4%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 80 to 55 computations (31.3% saved)

simplify11.0ms (0.2%)

Memory

16.3MiB live, 16.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

136×	`lower-*.f32`
124×	`lower-*.f64`
50×	`*-commutative`
44×	`lower-/.f32`
44×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	197
0	45	209
1	65	191
2	88	191
3	113	191
4	154	191
5	154	191
6	174	191
7	174	191
8	180	191
9	191	191
10	191	191
0	191	185

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize143.0ms (2.2%)

Memory

-8.7MiB live, 67.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (/ y (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))
accuracy	0.13671875	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	0.234375	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
accuracy	4.1237567668583734	(fma.f64 #s(approx (/ y (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) z x)
accuracy	0	(*.f64 y z)
accuracy	0	(sqrt.f64 z)
accuracy	7.27914844685642	(/.f64 (*.f64 y z) (sqrt.f64 z))
accuracy	32.43075108478573	#s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z)))
accuracy	0	(sqrt.f64 z)
accuracy	0.25	(/.f64 y (sqrt.f64 z))
accuracy	5.891660044007525	(*.f64 (/.f64 y (sqrt.f64 z)) z)
accuracy	32.43075108478573	#s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z))
accuracy	0	(sqrt.f64 z)
accuracy	0.28515625	(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
accuracy	7.22469608272329	(.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
accuracy	32.43075108478573	#s(approx (+ (* (sqrt z) y) x) (.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))

Samples

117.0ms

256×

valid

Compiler

Compiled 134 to 22 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 11.0ms (48.2% of total)

ival-div: 6.0ms (26.3% of total)

ival-sqrt: 3.0ms (13.1% of total)

ival-add: 2.0ms (8.8% of total)

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

exact: 0.0ms (0% of total)

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

series54.0ms (0.8%)

Memory

-0.9MiB live, 37.1MiB allocated

Counts

18 → 492

Calls

Call 1

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

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

Calls

9 calls:

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

simplify119.0ms (1.8%)

Memory

21.6MiB live, 136.7MiB allocated

Algorithm

1×	egg-herbie

Rules

5 956×	`lower-fma.f64`
5 956×	`lower-fma.f32`
4 232×	`lower-*.f64`
4 232×	`lower-*.f32`
1 722×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	3056
1	288	3028
2	947	3024
3	2527	2928
4	5464	2928
0	8072	2704

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 480

Calls

Call 1

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

rewrite163.0ms (2.5%)

Memory

-12.1MiB live, 148.6MiB allocated

Rules

4 400×	`lower-fma.f32`
4 398×	`lower-fma.f64`
3 022×	`lower-*.f32`
3 010×	`lower-*.f64`
1 820×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	172
0	45	158
1	116	156
2	519	138
0	4349	132

Stop Event

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

Counts

18 → 548

Calls

Call 1

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

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

eval169.0ms (2.6%)

Memory: 3.8MiB live, 234.1MiB allocated
Compiler: Compiled 17 670 to 1 658 computations (90.6% saved)

prune88.0ms (1.3%)

Memory

22.1MiB live, 184.7MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	1 212	1	1 213
Fresh	0	0	0
Picked	1	3	4
Done	0	3	3
Total	1 213	7	1 220

Accuracy

100.0%

Counts

1 220 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
✓	44.1%	(.f64 #s(approx (+ ( (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64))
✓	45.0%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64))
	44.9%	(.f64 #s(approx (+ ( (sqrt z) y) x) (.f64 (.f64 (/.f64 (sqrt.f64 z) z) y) z)) #s(literal 1/2 binary64))
✓	44.1%	(.f64 #s(approx (+ ( (sqrt z) y) x) (.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64))
✓	49.2%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
✓	52.4%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 284 to 130 computations (54.2% saved)

regimes44.0ms (0.7%)

Memory

10.5MiB live, 85.9MiB allocated

Counts

19 → 1

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))
(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
(.f64 #s(approx (+ ( (sqrt z) y) x) (.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (sqrt z) y) x) (.f64 (.f64 (/.f64 (sqrt.f64 z) z) y) z)) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
(.f64 (fma.f64 #s(approx (/ y (sqrt z)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) z x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 z) y x)))
(/.f64 (.f64 (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x)) #s(literal 1/2 binary64)) (-.f64 x (.f64 (sqrt.f64 z) y)))
(/.f64 (.f64 (fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (-.f64 (.f64 (sqrt.f64 z) y) x))
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 y #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 z (pow.f64 z #s(literal 3/8 binary64))) (/.f64 y (pow.f64 z #s(literal 1/8 binary64))) x) #s(literal 1/2 binary64))

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

Calls

7 calls:

7.0ms	(sqrt.f64 z)
7.0ms	z
6.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
6.0ms	y
6.0ms	x

Results

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

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes16.0ms (0.2%)

Memory

-4.6MiB live, 32.0MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
75.4%	3	`x`
72.2%	3	`y`
68.5%	2	`z`
67.6%	7	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
67.6%	7	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
76.6%	3	`(*.f64 y (sqrt.f64 z))`
68.5%	2	`(sqrt.f64 z)`

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes18.0ms (0.3%)

Memory

-26.8MiB live, 20.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

10.0ms	(sqrt.f64 z)
1.0ms	y
1.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
1.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
1.0ms	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	`y`
52.4%	1	`x`
52.4%	1	`(*.f64 y (sqrt.f64 z))`

Compiler

Compiled 46 to 34 computations (26.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.31734181710673e+21	8.408657185197979e+30
0.0ms	-185280941245.1833	-20600043463.924232

Compiler

Compiled 16 to 16 computations (0% saved)

simplify7.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB 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	26	75
1	33	75

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal -100000000000 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) (if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal 10000000000000000000000 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))))

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

Outputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))
(if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal -100000000000 binary64)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y))) (if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal 10000000000000000000000 binary64)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) x)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))))
(if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal -100000000000 binary64)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) (if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal 10000000000000000000000 binary64)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) x)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

soundness348.0ms (5.3%)

Memory

14.3MiB live, 208.7MiB allocated

Rules

7 460×	`lower-fma.f64`
7 460×	`lower-fma.f32`
5 642×	`lower-fma.f64`
5 642×	`lower-fma.f32`
4 298×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	646
1	251	646
2	797	646
3	2298	622
4	5069	622
5	7549	622
0	8141	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 106 to 48 computations (54.7% saved)

preprocess29.0ms (0.4%)

Memory: -8.2MiB live, 64.5MiB allocated
Compiler: Compiled 118 to 52 computations (55.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	28	197
0	45	209
1	65	191
2	88	191
3	113	191
4	154	191
5	154	191
6	174	191
7	174	191
8	180	191
9	191	191
10	191	191
0	191	185

Iter	Nodes	Cost
0	28	197
0	45	209
1	65	191
2	88	191
3	113	191
4	154	191
5	154	191
6	174	191
7	174	191
8	180	191
9	191	191
10	191	191
0	191	185

start0.0ms (0%)

analyze84.0ms (1.3%)

sample1.0s (15.8%)

explain198.0ms (3%)

preprocess78.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize69.0ms (1.1%)

series10.0ms (0.1%)

simplify161.0ms (2.4%)

rewrite269.0ms (4.1%)

eval68.0ms (1%)

prune85.0ms (1.3%)

simplify176.0ms (2.7%)

localize95.0ms (1.4%)

series264.0ms (4%)

simplify160.0ms (2.4%)

rewrite344.0ms (5.2%)

eval704.0ms (10.7%)

prune290.0ms (4.4%)

simplify193.0ms (2.9%)

localize103.0ms (1.6%)

series284.0ms (4.3%)

simplify171.0ms (2.6%)

rewrite185.0ms (2.8%)

eval219.0ms (3.3%)

prune121.0ms (1.8%)

simplify11.0ms (0.2%)

localize143.0ms (2.2%)

series54.0ms (0.8%)

simplify119.0ms (1.8%)

rewrite163.0ms (2.5%)

eval169.0ms (2.6%)

prune88.0ms (1.3%)

regimes44.0ms (0.7%)

regimes16.0ms (0.2%)

regimes18.0ms (0.3%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

soundness348.0ms (5.3%)

preprocess29.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	28	197
0	45	209
1	65	191
2	88	191
3	113	191
4	154	191
5	154	191
6	174	191
7	174	191
8	180	191
9	191	191
10	191	191
0	191	185