Metrics for Diagrams.TwoD.Apollonian:descartes from diagrams-contrib-1.3.0.5

analyze218.0ms (1.9%)

Memory

-20.3MiB live, 494.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
25%	25%	74.9%	0.1%	0%	0%	0%	6
25%	25%	74.9%	0.1%	0%	0%	0%	7
25%	25%	74.9%	0.1%	0%	0%	0%	8
26.2%	25%	70.2%	0.1%	0%	4.7%	0%	9
28.9%	25%	61.4%	0.1%	0%	13.5%	0%	10
31.2%	26.3%	58%	0.1%	0%	15.5%	0%	11
37.2%	28.9%	48.7%	0.1%	0%	22.3%	0%	12

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample1.8s (15.8%)

Memory

-88.7MiB live, 2 493.4MiB allocated

Samples

731.0ms	8 256×	0	valid
514.0ms	4 605×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 783.0ms

ival-mult: 379.0ms (48.4% of total)

ival-add: 192.0ms (24.5% of total)

ival-sqrt: 189.0ms (24.1% of total)

ival-true: 10.0ms (1.3% of total)

exact: 8.0ms (1% of total)

ival-assert: 5.0ms (0.6% of total)

Bogosity

preprocess53.0ms (0.5%)

Memory

-0.0MiB live, 42.8MiB allocated

Algorithm

1×	egg-herbie

Rules

468×	`cancel-sign-sub-inv`
354×	`sub-neg`
204×	`associate-+l-`
204×	`unsub-neg`
180×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	118
1	133	112
2	237	108
3	446	108
4	929	108
5	1336	108
6	1729	108
7	1794	108
8	1806	108
0	11	14
0	18	12
1	28	12
2	40	12
3	49	12
4	50	12
0	50	11

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort x y z)

explain168.0ms (1.5%)

Memory

16.5MiB live, 280.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
81	-	2	(-3.002606851394684e-301 7.651709712664774e-193 5.112376944720611e-132)	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
11	-	0	-	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
4	-	0	-	`(+.f64 (.f64 x y) (.f64 x z))`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x z)`
0	-	0	-	`(*.f64 x y)`
0	-	0	-	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`y`
0	-	0	-	`(*.f64 y z)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`	oflow-rescue	73	0
↳	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`	overflow	73
↳	`(*.f64 y z)`	overflow	44
↳	`(+.f64 (.f64 x y) (.f64 x z))`	overflow	44
↳	`(*.f64 x z)`	overflow	18
↳	`(*.f64 x y)`	overflow	41
`+.f64`	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`	nan-rescue	11	0
↳	`(+.f64 (.f64 x y) (.f64 x z))`	overflow	44
↳	`(*.f64 x z)`	overflow	18
↳	`(*.f64 x y)`	overflow	41
↳	`(*.f64 y z)`	overflow	44
`sqrt.f64`	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`	uflow-rescue	6	0
↳	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`	underflow	6
↳	`(*.f64 y z)`	underflow	35
↳	`(+.f64 (.f64 x y) (.f64 x z))`	underflow	7
↳	`(*.f64 x z)`	underflow	7
↳	`(*.f64 x y)`	underflow	31
`+.f64`	`(+.f64 (.f64 x y) (.f64 x z))`	nan-rescue	4	0
↳	`(*.f64 x y)`	overflow	41
↳	`(*.f64 x z)`	overflow	18

Confusion

	Predicted +	Predicted -
+	79	2
-	0	175

Precision

1.0

Recall

0.9753086419753086

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	79	0	2
-	0	0	175

Precision?

1.0

Recall?

0.9753086419753086

Freqs

test

number	freq
0	177
1	66
2	11
3	2

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

41.0ms

512×

valid

Compiler

Compiled 152 to 48 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 13.0ms (59.9% of total)

ival-add: 4.0ms (18.4% of total)

ival-sqrt: 4.0ms (18.4% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))

Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify16.0ms (0.1%)

Memory

-43.7MiB live, 22.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
✓	cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
✓	cost-diff	128	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
✓	cost-diff	320	(+.f64 (.f64 x y) (.f64 x z))

Rules

48×	`lower-fma.f64`
48×	`lower-fma.f32`
36×	`lower-+.f32`
32×	`lower-+.f64`
28×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	57
0	18	49
1	28	49
2	40	49
3	49	49
4	50	49
0	50	46

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize31.0ms (0.3%)

Memory

33.4MiB live, 72.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
✓	accuracy	98.7%	(+.f64 (.f64 x y) (.f64 x z))
✓	accuracy	96.6%	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
✓	accuracy	70.5%	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))

Samples

20.0ms

256×

valid

Compiler

Compiled 59 to 13 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 6.0ms (56% of total)

ival-add: 2.0ms (18.7% of total)

ival-sqrt: 2.0ms (18.7% of total)

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

exact: 0.0ms (0% of total)

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

series28.0ms (0.2%)

Memory

-17.4MiB live, 58.7MiB allocated

Counts

4 → 144

Calls

Call 1

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

Outputs
#s(alt (* x (+ y z)) (taylor 0 x) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor 0 x) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor 0 x) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor 0 x) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 z)))) (taylor -inf x) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 z)))) (taylor -inf x) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 z)))) (taylor -inf x) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 z)))) (taylor -inf x) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 y) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x z)) (taylor 0 y) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x z)) (taylor 0 y) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x z)) (taylor 0 y) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (* x z) y))) (taylor inf y) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (* x z) y))) (taylor inf y) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (* x z) y))) (taylor inf y) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) (taylor -inf y) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) (taylor -inf y) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) (taylor -inf y) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf z) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (/ (* x y) z))) (taylor inf z) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (/ (* x y) z))) (taylor inf z) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (/ (* x y) z))) (taylor inf z) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf z) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ y z)) (* y z)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ y z)) (* y z)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ y z)) (* y z)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ z (/ (* y z) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ z (/ (* y z) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ z (/ (* y z) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 z)))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x)))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x)))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x)))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 y) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x z) (* y (+ x z))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x z) (* y (+ x z))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* z (+ (* -1/4 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y)))))))))) (taylor -inf z) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1/4 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/8 (* (* (pow x 3) (* (pow y 3) (sqrt -1))) (sqrt (/ 1 (* (pow z 7) (pow (+ (* -1 x) (* -1 y)) 5)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))))))) (taylor -inf z) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (* y z)) (taylor 0 x) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (* y z)) (* 1/2 (* (* x (+ y z)) (sqrt (/ 1 (* y z)))))) (taylor 0 x) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (* y z)) (* x (+ (* -1/8 (* (* x (pow (+ y z) 2)) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* 1/2 (* (sqrt (/ 1 (* y z))) (+ y z)))))) (taylor 0 x) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (* y z)) (* x (+ (* 1/2 (* (sqrt (/ 1 (* y z))) (+ y z))) (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/16 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5))))))))))) (taylor 0 x) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (sqrt (* x (+ y z))) (taylor inf x) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sqrt (/ (+ y z) x)) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))) (taylor inf x) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sqrt (/ (+ y z) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))) (taylor inf x) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sqrt (/ (+ y z) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (+ y z) 5)))) (* (pow y 3) (pow z 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))))) (taylor inf x) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* x (+ (* -1 y) (* -1 z)))) (sqrt -1))) (taylor -inf x) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))))) (taylor -inf x) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1)))))) (taylor -inf x) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (+ (* -1 y) (* -1 z)) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))))))) (taylor -inf x) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (sqrt (* x z)) (taylor 0 y) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (* x z)) (* 1/2 (* (sqrt (/ 1 (* x z))) (* y (+ x z))))) (taylor 0 y) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (* x z)) (* y (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (* y (pow (+ x z) 2)))) (* 1/2 (* (sqrt (/ 1 (* x z))) (+ x z)))))) (taylor 0 y) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (* x z)) (* y (+ (* 1/2 (* (sqrt (/ 1 (* x z))) (+ x z))) (* y (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (pow (+ x z) 2))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) (pow z 5)))) (* y (pow (+ x z) 3))))))))) (taylor 0 y) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (sqrt (* y (+ x z))) (taylor inf y) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (sqrt (/ (+ x z) y)) (* 1/2 (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))) (taylor inf y) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (sqrt (/ (+ x z) y)) (+ (* -1/8 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (* 1/2 (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))) (taylor inf y) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (sqrt (/ (+ x z) y)) (+ (* -1/8 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 1/16 (* (* (pow x 3) (pow z 3)) (sqrt (/ 1 (* (pow y 7) (pow (+ x z) 5)))))) (* 1/2 (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))))) (taylor inf y) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* y (+ (* -1 x) (* -1 z)))) (sqrt -1))) (taylor -inf y) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* 1/2 (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))) (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))))) (taylor -inf y) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/8 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 1/2 (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))) (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1)))))) (taylor -inf y) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/8 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 1/16 (* (* (pow x 3) (* (pow z 3) (sqrt -1))) (sqrt (/ 1 (* (pow y 7) (pow (+ (* -1 x) (* -1 z)) 5)))))) (+ (* 1/2 (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))) (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))))))) (taylor -inf y) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (sqrt (* x y)) (taylor 0 z) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (* x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) (* z (+ x y))))) (taylor 0 z) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (* x y)) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y)))))) (taylor 0 z) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (* x y)) (* z (+ (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y))) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3))))))))) (taylor 0 z) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (sqrt (* z (+ x y))) (taylor inf z) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (sqrt (/ (+ x y) z)) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))) (taylor inf z) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (sqrt (/ (+ x y) z)) (+ (* -1/8 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))) (taylor inf z) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (sqrt (/ (+ x y) z)) (+ (* -1/8 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/16 (* (* (pow x 3) (pow y 3)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))))) (taylor inf z) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* z (+ (* -1 x) (* -1 y)))) (sqrt -1))) (taylor -inf z) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))))) (taylor -inf z) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1/8 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1)))))) (taylor -inf z) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1/8 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/16 (* (* (pow x 3) (* (pow y 3) (sqrt -1))) (sqrt (/ 1 (* (pow z 7) (pow (+ (* -1 x) (* -1 y)) 5)))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))))))) (taylor -inf z) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())

Calls

36 calls:

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

rewrite398.0ms (3.5%)

Memory

3.6MiB live, 638.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 534×	`lower-fma.f64`
8 534×	`lower-fma.f32`
4 952×	`lower-*.f32`
4 944×	`lower-*.f64`
2 750×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
0	18	36
1	55	36
2	435	36
3	6667	36
0	8469	33

Stop Event

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

Counts

4 → 228

Calls

Call 1

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

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

simplify410.0ms (3.6%)

Memory

7.1MiB live, 602.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 034×	`lower-fma.f64`
11 034×	`lower-fma.f32`
7 720×	`lower-*.f64`
7 720×	`lower-*.f32`
3 024×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	501	3429
1	1684	3363
2	6236	3318
0	8104	3177

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(* x z)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x y)
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* x y)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x z)
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* y z)
(+ (* x (+ y z)) (* y z))
(+ (* x (+ y z)) (* y z))
(+ (* x (+ y z)) (* y z))
(* x (+ y z))
(* x (+ y (+ z (/ (* y z) x))))
(* x (+ y (+ z (/ (* y z) x))))
(* x (+ y (+ z (/ (* y z) x))))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x))))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x))))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x))))))
(* x z)
(+ (* x z) (* y (+ x z)))
(+ (* x z) (* y (+ x z)))
(+ (* x z) (* y (+ x z)))
(* y (+ x z))
(* y (+ x (+ z (/ (* x z) y))))
(* y (+ x (+ z (/ (* x z) y))))
(* y (+ x (+ z (/ (* x z) y))))
(* -1 (* y (+ (* -1 x) (* -1 z))))
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ (* x z) y))))))
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ (* x z) y))))))
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ (* x z) y))))))
(* x y)
(+ (* x y) (* z (+ x y)))
(+ (* x y) (* z (+ x y)))
(+ (* x y) (* z (+ x y)))
(* z (+ x y))
(* z (+ x (+ y (/ (* x y) z))))
(* z (+ x (+ y (/ (* x y) z))))
(* z (+ x (+ y (/ (* x y) z))))
(* -1 (* z (+ (* -1 x) (* -1 y))))
(* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (* x y) z))))))
(* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (* x y) z))))))
(* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (* x y) z))))))
(* 2 (sqrt (* y z)))
(+ (* 2 (sqrt (* y z))) (* (* x (+ y z)) (sqrt (/ 1 (* y z)))))
(+ (* 2 (sqrt (* y z))) (* x (+ (* -1/4 (* (* x (pow (+ y z) 2)) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* (sqrt (/ 1 (* y z))) (+ y z)))))
(+ (* 2 (sqrt (* y z))) (* x (+ (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/8 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5)))))))) (* (sqrt (/ 1 (* y z))) (+ y z)))))
(* 2 (sqrt (* x (+ y z))))
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(* x (+ (sqrt (/ (+ y z) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))))
(.f64 x (fma.f64 (.f64 y z) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y z) (.f64 x (.f64 x x))))) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y z) (.f64 (.f64 (+.f64 y z) (+.f64 y z)) (pow.f64 x #s(literal 5 binary64)))))) (.f64 (.f64 y (.f64 y (*.f64 z z))) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 (+.f64 y z) x)))))
(* x (+ (sqrt (/ (+ y z) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (+ y z) 5)))) (* (pow y 3) (pow z 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))))
(.f64 x (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (+.f64 y z) #s(literal 5 binary64))))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) #s(literal 1/16 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y z) (.f64 x (.f64 x x))))) (.f64 (.f64 y z) #s(literal 1/2 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y z) (.f64 (.f64 (+.f64 y z) (+.f64 y z)) (pow.f64 x #s(literal 5 binary64)))))) (.f64 (.f64 y (.f64 y (*.f64 z z))) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 (+.f64 y z) x)))))
(* -1 (* (sqrt (* x (+ (* -1 y) (* -1 z)))) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 x (-.f64 (neg.f64 y) z))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1)))))
(neg.f64 (.f64 x (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (neg.f64 y) z) (.f64 x (.f64 x x))))) #s(literal 1/2 binary64)) (*.f64 y z) (sqrt.f64 (/.f64 (-.f64 (neg.f64 y) z) x))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))))))
(.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (neg.f64 y) z) (.f64 (.f64 (+.f64 y z) (+.f64 y z)) (pow.f64 x #s(literal 5 binary64)))))) (.f64 (.f64 y (.f64 y (.f64 z (.f64 z (sqrt.f64 #s(literal -1 binary64)))))) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (neg.f64 y) z) (.f64 x (.f64 x x))))) #s(literal 1/2 binary64)) (*.f64 y z) (sqrt.f64 (/.f64 (-.f64 (neg.f64 y) z) x))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (+ (* -1 y) (* -1 z)) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1)))))))
(neg.f64 (.f64 x (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (neg.f64 y) z) (.f64 (.f64 (+.f64 y z) (+.f64 y z)) (pow.f64 x #s(literal 5 binary64)))))) #s(literal -1/8 binary64)) (.f64 y (.f64 y (.f64 z z))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (-.f64 (neg.f64 y) z) #s(literal 5 binary64))))) #s(literal 1/16 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (neg.f64 y) z) (.f64 x (.f64 x x))))) #s(literal 1/2 binary64)) (.f64 y z) (sqrt.f64 (/.f64 (-.f64 (neg.f64 y) z) x)))))))
(sqrt (* x z))
(sqrt.f64 (*.f64 x z))
(+ (sqrt (* x z)) (* 1/2 (* (sqrt (/ 1 (* x z))) (* y (+ x z)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z))) (.f64 (.f64 y (+.f64 x z)) #s(literal 1/2 binary64)) (sqrt.f64 (.f64 x z)))
(+ (sqrt (* x z)) (* y (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (* y (pow (+ x z) 2)))) (* 1/2 (* (sqrt (/ 1 (* x z))) (+ x z))))))
(fma.f64 y (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 z z)) z)))) (.f64 (.f64 (+.f64 x z) (.f64 y (+.f64 x z))) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z))) (.f64 (+.f64 x z) #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 x z)))
(+ (sqrt (* x z)) (* y (+ (* 1/2 (* (sqrt (/ 1 (* x z))) (+ x z))) (* y (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (pow (+ x z) 2))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) (pow z 5)))) (* y (pow (+ x z) 3)))))))))
(fma.f64 y (fma.f64 y (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) (.f64 (.f64 (+.f64 x z) (.f64 (+.f64 x z) (.f64 y (+.f64 x z)))) #s(literal 1/16 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 z z)) z)))) (.f64 (.f64 (+.f64 x z) (+.f64 x z)) #s(literal -1/8 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z))) (.f64 (+.f64 x z) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x z)))
(sqrt (* y (+ x z)))
(sqrt.f64 (*.f64 y (+.f64 x z)))
(* y (+ (sqrt (/ (+ x z) y)) (* 1/2 (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))
(.f64 y (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x z) (.f64 y (.f64 y y))))) (.f64 (.f64 x z) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (+.f64 x z) y))))
(* y (+ (sqrt (/ (+ x z) y)) (+ (* -1/8 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (* 1/2 (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))))
(.f64 y (fma.f64 x (.f64 (.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x z) (.f64 y (.f64 y y)))))) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x z) (.f64 (.f64 (+.f64 x z) (+.f64 x z)) (pow.f64 y #s(literal 5 binary64)))))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (*.f64 z z)) (sqrt.f64 (/.f64 (+.f64 x z) y)))))
(* y (+ (sqrt (/ (+ x z) y)) (+ (* -1/8 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 1/16 (* (* (pow x 3) (pow z 3)) (sqrt (/ 1 (* (pow y 7) (pow (+ x z) 5)))))) (* 1/2 (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))))
(.f64 y (+.f64 (fma.f64 x (.f64 (.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x z) (.f64 y (.f64 y y)))))) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 x z) #s(literal 5 binary64))))) (.f64 (.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x x))) (.f64 z (.f64 z z))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x z) (.f64 (.f64 (+.f64 x z) (+.f64 x z)) (pow.f64 y #s(literal 5 binary64)))))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (*.f64 z z)) (sqrt.f64 (/.f64 (+.f64 x z) y)))))
(* -1 (* (sqrt (* y (+ (* -1 x) (* -1 z)))) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 y (-.f64 (neg.f64 z) x))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* y (+ (* 1/2 (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))) (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1)))))
(.f64 (neg.f64 y) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (-.f64 (neg.f64 z) x) y)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (neg.f64 z) x) (.f64 y (.f64 y y))))) (.f64 (.f64 (.f64 x z) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 1/2 (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))) (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))))))
(.f64 (neg.f64 y) (fma.f64 (.f64 x (.f64 x (.f64 z (.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (neg.f64 z) x) (.f64 (.f64 (+.f64 x z) (+.f64 x z)) (pow.f64 y #s(literal 5 binary64)))))) #s(literal -1/8 binary64)) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (-.f64 (neg.f64 z) x) y)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (neg.f64 z) x) (.f64 y (.f64 y y))))) (.f64 (.f64 (.f64 x z) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 1/16 (* (* (pow x 3) (* (pow z 3) (sqrt -1))) (sqrt (/ 1 (* (pow y 7) (pow (+ (* -1 x) (* -1 z)) 5)))))) (+ (* 1/2 (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))) (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1)))))))
(.f64 (neg.f64 y) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 z (.f64 z (.f64 z (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (-.f64 (neg.f64 z) x) #s(literal 5 binary64)))))) #s(literal 1/16 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 z (.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (neg.f64 z) x) (.f64 (.f64 (+.f64 x z) (+.f64 x z)) (pow.f64 y #s(literal 5 binary64)))))) #s(literal -1/8 binary64)) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (-.f64 (neg.f64 z) x) y)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (neg.f64 z) x) (.f64 y (.f64 y y))))) (.f64 (.f64 (.f64 x z) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
(sqrt (* x y))
(sqrt.f64 (*.f64 x y))
(+ (sqrt (* x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) (* z (+ x y)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x y))) (.f64 (.f64 z (+.f64 x y)) #s(literal 1/2 binary64)) (sqrt.f64 (.f64 x y)))
(+ (sqrt (* x y)) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y))))))
(fma.f64 z (fma.f64 (+.f64 x y) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))))) (.f64 (.f64 (+.f64 x y) (.f64 z (+.f64 x y))) #s(literal -1/8 binary64)))) (sqrt.f64 (.f64 x y)))
(+ (sqrt (* x y)) (* z (+ (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y))) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))))))
(fma.f64 z (fma.f64 z (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))))) (.f64 (.f64 (+.f64 x y) (+.f64 x y)) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) (.f64 (.f64 z (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)))) #s(literal 1/16 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x y))) (.f64 (+.f64 x y) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x y)))
(sqrt (* z (+ x y)))
(sqrt.f64 (*.f64 z (+.f64 x y)))
(* z (+ (sqrt (/ (+ x y) z)) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))
(.f64 z (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (.f64 z (.f64 z z))))) (.f64 (.f64 x y) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(* z (+ (sqrt (/ (+ x y) z)) (+ (* -1/8 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))))
(.f64 z (fma.f64 (.f64 x y) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (.f64 z (.f64 z z))))) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 5 binary64)) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)))))) (.f64 (.f64 x (.f64 x (*.f64 y y))) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 (+.f64 x y) z)))))
(* z (+ (sqrt (/ (+ x y) z)) (+ (* -1/8 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/16 (* (* (pow x 3) (pow y 3)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))))
(.f64 z (+.f64 (fma.f64 (.f64 x y) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (.f64 z (.f64 z z))))) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 5 binary64)) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)))))) (.f64 (.f64 x (.f64 x (.f64 y y))) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 (+.f64 x y) z)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 x y) #s(literal 5 binary64))))) (.f64 (.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x x))) (.f64 y (*.f64 y y))))))
(* -1 (* (sqrt (* z (+ (* -1 x) (* -1 y)))) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 z (-.f64 (neg.f64 y) x))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* z (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1)))))
(.f64 (neg.f64 z) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (-.f64 (neg.f64 y) x) z)) (.f64 (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (.f64 z (.f64 z z)))))) (.f64 (.f64 (.f64 x y) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))))))
(.f64 (neg.f64 z) (fma.f64 (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (.f64 z (.f64 z z)))))) (.f64 (.f64 (.f64 x y) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (-.f64 (neg.f64 y) x) z)) (.f64 (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 5 binary64)) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))))) (.f64 (.f64 (.f64 x (.f64 x (.f64 y y))) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/16 (* (* (pow x 3) (* (pow y 3) (sqrt -1))) (sqrt (/ 1 (* (pow z 7) (pow (+ (* -1 x) (* -1 y)) 5)))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1)))))))
(.f64 z (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (-.f64 (neg.f64 y) x) #s(literal 5 binary64)))))) #s(literal 1/16 binary64)) (fma.f64 (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (.f64 z (.f64 z z)))))) (.f64 (.f64 (.f64 x y) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (-.f64 (neg.f64 y) x) z)) (.f64 (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 5 binary64)) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))))) (.f64 (.f64 (.f64 x (.f64 x (.f64 y y))) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))

eval49.0ms (0.4%)

Memory: -4.6MiB live, 110.8MiB allocated
Compiler: Compiled 13 864 to 1 558 computations (88.8% saved)

prune82.0ms (0.7%)

Memory

20.9MiB live, 144.4MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	355	17	372
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	356	17	373

Accuracy

85.0%

Counts

373 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.4%	(fma.f64 z (.f64 (+.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)))) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y))))
▶	3.5%	(fma.f64 y (.f64 (+.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)))) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z))))
	23.9%	(/.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 x y (.f64 z (+.f64 x y))) (fma.f64 y (-.f64 x z) (.f64 x z)))) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 y (-.f64 x z) (*.f64 x z))))
	39.9%	(.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (.f64 (.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (.f64 z (.f64 z z))))))))
▶	36.5%	(.f64 y (fma.f64 x (.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x z) (.f64 y (.f64 y y)))))) (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y)))))
	70.0%	(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 x y (.f64 z (+.f64 x y))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
	69.8%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (.f64 z (+.f64 x y)))))))
	69.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (.f64 x (+.f64 y z)) (.f64 (.f64 x (-.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 y z)))) (.f64 y z))))
▶	70.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 x z))))
	59.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 x (fma.f64 x (/.f64 y z) y)))))
▶	34.3%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 x y))))
	32.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y z)))
	55.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z (fma.f64 y (/.f64 z x) y)))))
	39.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 y z))))
	3.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z)))
▶	38.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))
	65.4%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))))

Compiler

Compiled 616 to 382 computations (38% saved)

simplify51.0ms (0.4%)

Memory

-12.2MiB live, 25.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

274×	`lower-*.f32`
248×	`lower-fma.f32`
246×	`lower-*.f64`
242×	`lower-fma.f64`
114×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	271
0	68	257
1	118	257
2	192	257
3	306	257
4	402	257
5	406	257
0	406	257

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize176.0ms (1.5%)

Memory

-5.3MiB live, 189.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	96.6%	(sqrt.f64 (/.f64 (+.f64 x z) y))
✓	accuracy	96.0%	(.f64 (+.f64 x z) (.f64 y (*.f64 y y)))
✓	accuracy	93.0%	(.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x z) (.f64 y (.f64 y y))))))
✓	accuracy	86.3%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x z) (.f64 y (*.f64 y y)))))
✓	accuracy	99.8%	(.f64 (+.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z))))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (*.f64 x z))
✓	accuracy	97.1%	(sqrt.f64 (*.f64 x z))
✓	accuracy	97.1%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 x y))))
✓	accuracy	100.0%	(*.f64 z (+.f64 x y))
✓	accuracy	91.8%	(sqrt.f64 (*.f64 z (+.f64 x y)))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))
✓	accuracy	86.7%	(sqrt.f64 (*.f64 x y))
✓	accuracy	100.0%	(+.f64 z x)
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 x z))))
✓	accuracy	85.2%	(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 x z)))

Samples

51.0ms	124×	0	valid
37.0ms	132×	0	invalid

Compiler

Compiled 279 to 40 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-mult: 44.0ms (65% of total)

ival-sqrt: 11.0ms (16.3% of total)

ival-add: 7.0ms (10.3% of total)

ival-div: 5.0ms (7.4% of total)

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

exact: 0.0ms (0% of total)

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

series150.0ms (1.3%)

Memory

23.1MiB live, 150.4MiB allocated

Counts

24 → 732

Calls

Call 1

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

Outputs
#s(alt (* 2 (sqrt (* x z))) (taylor 0 y) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 x z)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 x z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (sqrt (* x z))) (* (sqrt (/ 1 (* x z))) (* y (+ x z)))) (taylor 0 y) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 x z)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 x z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (sqrt (* x z))) (* y (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (* y (pow (+ x z) 2)))) (* (sqrt (/ 1 (* x z))) (+ x z))))) (taylor 0 y) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 x z)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 x z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (sqrt (* x z))) (* y (+ (* y (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (pow (+ x z) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow z 5)))) (* y (pow (+ x z) 3)))))) (* (sqrt (/ 1 (* x z))) (+ x z))))) (taylor 0 y) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 x z)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 x z)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt (* y (+ x z)))) (taylor inf y) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 x z)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 x z)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))) (taylor inf y) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 x z)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 x z)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1/4 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))) (taylor inf y) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 x z)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 x z)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1/4 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 1/8 (* (* (pow x 3) (pow z 3)) (sqrt (/ 1 (* (pow y 7) (pow (+ x z) 5)))))) (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))) (taylor inf y) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 x z)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 x z)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (* y (+ x z))) (pow (sqrt -1) 2))) (taylor -inf y) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 x z)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 x z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* 2 (* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))) (taylor -inf y) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 x z)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 x z)))) #<representation binary64>) () ())) ())
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#s(alt (+ (* x (pow y 3)) (* (pow y 3) z)) (taylor 0 z) (#s(alt (.f64 (+.f64 x z) (.f64 y (.f64 y y))) (patch (.f64 (+.f64 x z) (.f64 y (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (pow y 3)) (* (pow y 3) z)) (taylor 0 z) (#s(alt (.f64 (+.f64 x z) (.f64 y (.f64 y y))) (patch (.f64 (+.f64 x z) (.f64 y (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) z) (taylor inf z) (#s(alt (.f64 (+.f64 x z) (.f64 y (.f64 y y))) (patch (.f64 (+.f64 x z) (.f64 y (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (/ (* x (pow y 3)) z) (pow y 3))) (taylor inf z) (#s(alt (.f64 (+.f64 x z) (.f64 y (.f64 y y))) (patch (.f64 (+.f64 x z) (.f64 y (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (/ (* x (pow y 3)) z) (pow y 3))) (taylor inf z) (#s(alt (.f64 (+.f64 x z) (.f64 y (.f64 y y))) (patch (.f64 (+.f64 x z) (.f64 y (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (/ (* x (pow y 3)) z) (pow y 3))) (taylor inf z) (#s(alt (.f64 (+.f64 x z) (.f64 y (.f64 y y))) (patch (.f64 (+.f64 x z) (.f64 y (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) z) (taylor -inf z) (#s(alt (.f64 (+.f64 x z) (.f64 y (.f64 y y))) (patch (.f64 (+.f64 x z) (.f64 y (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ (* x (pow y 3)) z)) (* -1 (pow y 3))))) (taylor -inf z) (#s(alt (.f64 (+.f64 x z) (.f64 y (.f64 y y))) (patch (.f64 (+.f64 x z) (.f64 y (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ (* x (pow y 3)) z)) (* -1 (pow y 3))))) (taylor -inf z) (#s(alt (.f64 (+.f64 x z) (.f64 y (.f64 y y))) (patch (.f64 (+.f64 x z) (.f64 y (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ (* x (pow y 3)) z)) (* -1 (pow y 3))))) (taylor -inf z) (#s(alt (.f64 (+.f64 x z) (.f64 y (.f64 y y))) (patch (.f64 (+.f64 x z) (.f64 y (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ x z)) (taylor 0 y) (#s(alt (.f64 (+.f64 x z) (.f64 y (.f64 y y))) (patch (.f64 (+.f64 x z) (.f64 y (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ x z)) (taylor 0 y) (#s(alt (.f64 (+.f64 x z) (.f64 y (.f64 y y))) (patch (.f64 (+.f64 x z) (.f64 y (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ x z)) (taylor 0 y) (#s(alt (.f64 (+.f64 x z) (.f64 y (.f64 y y))) (patch (.f64 (+.f64 x z) (.f64 y (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ x z)) (taylor 0 y) (#s(alt (.f64 (+.f64 x z) (.f64 y (.f64 y y))) (patch (.f64 (+.f64 x z) (.f64 y (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ x z)) (taylor inf y) (#s(alt (.f64 (+.f64 x z) (.f64 y (.f64 y y))) (patch (.f64 (+.f64 x z) (.f64 y (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ x z)) (taylor inf y) (#s(alt (.f64 (+.f64 x z) (.f64 y (.f64 y y))) (patch (.f64 (+.f64 x z) (.f64 y (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ x z)) (taylor inf y) (#s(alt (.f64 (+.f64 x z) (.f64 y (.f64 y y))) (patch (.f64 (+.f64 x z) (.f64 y (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ x z)) (taylor inf y) (#s(alt (.f64 (+.f64 x z) (.f64 y (.f64 y y))) (patch (.f64 (+.f64 x z) (.f64 y (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ x z)) (taylor -inf y) (#s(alt (.f64 (+.f64 x z) (.f64 y (.f64 y y))) (patch (.f64 (+.f64 x z) (.f64 y (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ x z)) (taylor -inf y) (#s(alt (.f64 (+.f64 x z) (.f64 y (.f64 y y))) (patch (.f64 (+.f64 x z) (.f64 y (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ x z)) (taylor -inf y) (#s(alt (.f64 (+.f64 x z) (.f64 y (.f64 y y))) (patch (.f64 (+.f64 x z) (.f64 y (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ x z)) (taylor -inf y) (#s(alt (.f64 (+.f64 x z) (.f64 y (.f64 y y))) (patch (.f64 (+.f64 x z) (.f64 y (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ z y)) (taylor 0 x) (#s(alt (sqrt.f64 (/.f64 (+.f64 x z) y)) (patch (sqrt.f64 (/.f64 (+.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (/ z y)) (* 1/2 (* x (sqrt (/ 1 (* y z)))))) (taylor 0 x) (#s(alt (sqrt.f64 (/.f64 (+.f64 x z) y)) (patch (sqrt.f64 (/.f64 (+.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (/ z y)) (* x (+ (* -1/8 (* x (sqrt (/ 1 (* y (pow z 3)))))) (* 1/2 (sqrt (/ 1 (* y z))))))) (taylor 0 x) (#s(alt (sqrt.f64 (/.f64 (+.f64 x z) y)) (patch (sqrt.f64 (/.f64 (+.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (/ z y)) (* x (+ (* 1/2 (sqrt (/ 1 (* y z)))) (* x (+ (* -1/8 (sqrt (/ 1 (* y (pow z 3))))) (* 1/16 (* x (sqrt (/ 1 (* y (pow z 5))))))))))) (taylor 0 x) (#s(alt (sqrt.f64 (/.f64 (+.f64 x z) y)) (patch (sqrt.f64 (/.f64 (+.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ x y)) (taylor inf x) (#s(alt (sqrt.f64 (/.f64 (+.f64 x z) y)) (patch (sqrt.f64 (/.f64 (+.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sqrt (/ 1 (* x y))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z)))) (taylor inf x) (#s(alt (sqrt.f64 (/.f64 (+.f64 x z) y)) (patch (sqrt.f64 (/.f64 (+.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sqrt (/ 1 (* x y))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) y))) (pow z 2))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z))))) (taylor inf x) (#s(alt (sqrt.f64 (/.f64 (+.f64 x z) y)) (patch (sqrt.f64 (/.f64 (+.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sqrt (/ 1 (* x y))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) y))) (pow z 2))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) y))) (pow z 3))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z)))))) (taylor inf x) (#s(alt (sqrt.f64 (/.f64 (+.f64 x z) y)) (patch (sqrt.f64 (/.f64 (+.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ x y)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 (+.f64 x z) y)) (patch (sqrt.f64 (/.f64 (+.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z)) (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))))) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 (+.f64 x z) y)) (patch (sqrt.f64 (/.f64 (+.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) y))) (/ (pow z 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z)) (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 (+.f64 x z) y)) (patch (sqrt.f64 (/.f64 (+.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) y))) (/ (pow z 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) y))) (/ (pow z 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z)) (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))))))) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 (+.f64 x z) y)) (patch (sqrt.f64 (/.f64 (+.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ x y)) (taylor 0 z) (#s(alt (sqrt.f64 (/.f64 (+.f64 x z) y)) (patch (sqrt.f64 (/.f64 (+.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (/ x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) z))) (taylor 0 z) (#s(alt (sqrt.f64 (/.f64 (+.f64 x z) y)) (patch (sqrt.f64 (/.f64 (+.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (/ x y)) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) y))) z)) (* 1/2 (sqrt (/ 1 (* x y))))))) (taylor 0 z) (#s(alt (sqrt.f64 (/.f64 (+.f64 x z) y)) (patch (sqrt.f64 (/.f64 (+.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (/ x y)) (* z (+ (* 1/2 (sqrt (/ 1 (* x y)))) (* z (+ (* -1/8 (sqrt (/ 1 (* (pow x 3) y)))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) y))) z))))))) (taylor 0 z) (#s(alt (sqrt.f64 (/.f64 (+.f64 x z) y)) (patch (sqrt.f64 (/.f64 (+.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ z y)) (taylor inf z) (#s(alt (sqrt.f64 (/.f64 (+.f64 x z) y)) (patch (sqrt.f64 (/.f64 (+.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (sqrt (/ 1 (* y z))) (* 1/2 (* x (sqrt (/ 1 (* y (pow z 3)))))))) (taylor inf z) (#s(alt (sqrt.f64 (/.f64 (+.f64 x z) y)) (patch (sqrt.f64 (/.f64 (+.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (sqrt (/ 1 (* y z))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (* y (pow z 5)))))) (* 1/2 (* x (sqrt (/ 1 (* y (pow z 3))))))))) (taylor inf z) (#s(alt (sqrt.f64 (/.f64 (+.f64 x z) y)) (patch (sqrt.f64 (/.f64 (+.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (sqrt (/ 1 (* y z))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (* y (pow z 5)))))) (+ (* 1/16 (* (pow x 3) (sqrt (/ 1 (* y (pow z 7)))))) (* 1/2 (* x (sqrt (/ 1 (* y (pow z 3)))))))))) (taylor inf z) (#s(alt (sqrt.f64 (/.f64 (+.f64 x z) y)) (patch (sqrt.f64 (/.f64 (+.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ z y)) (pow (sqrt -1) 2))) (taylor -inf z) (#s(alt (sqrt.f64 (/.f64 (+.f64 x z) y)) (patch (sqrt.f64 (/.f64 (+.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* 1/2 (* x (sqrt (/ 1 (* y (pow z 3)))))) (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))))) (taylor -inf z) (#s(alt (sqrt.f64 (/.f64 (+.f64 x z) y)) (patch (sqrt.f64 (/.f64 (+.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 5)))))) (+ (* 1/2 (* x (sqrt (/ 1 (* y (pow z 3)))))) (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2)))))) (taylor -inf z) (#s(alt (sqrt.f64 (/.f64 (+.f64 x z) y)) (patch (sqrt.f64 (/.f64 (+.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 5)))))) (+ (* 1/16 (* (/ (pow x 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (* y (pow z 7)))))) (+ (* 1/2 (* x (sqrt (/ 1 (* y (pow z 3)))))) (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))))))) (taylor -inf z) (#s(alt (sqrt.f64 (/.f64 (+.f64 x z) y)) (patch (sqrt.f64 (/.f64 (+.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ (+ x z) y)) (taylor 0 y) (#s(alt (sqrt.f64 (/.f64 (+.f64 x z) y)) (patch (sqrt.f64 (/.f64 (+.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ (+ x z) y)) (taylor 0 y) (#s(alt (sqrt.f64 (/.f64 (+.f64 x z) y)) (patch (sqrt.f64 (/.f64 (+.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ (+ x z) y)) (taylor 0 y) (#s(alt (sqrt.f64 (/.f64 (+.f64 x z) y)) (patch (sqrt.f64 (/.f64 (+.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ (+ x z) y)) (taylor 0 y) (#s(alt (sqrt.f64 (/.f64 (+.f64 x z) y)) (patch (sqrt.f64 (/.f64 (+.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ (+ x z) y)) (taylor inf y) (#s(alt (sqrt.f64 (/.f64 (+.f64 x z) y)) (patch (sqrt.f64 (/.f64 (+.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ (+ x z) y)) (taylor inf y) (#s(alt (sqrt.f64 (/.f64 (+.f64 x z) y)) (patch (sqrt.f64 (/.f64 (+.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ (+ x z) y)) (taylor inf y) (#s(alt (sqrt.f64 (/.f64 (+.f64 x z) y)) (patch (sqrt.f64 (/.f64 (+.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ (+ x z) y)) (taylor inf y) (#s(alt (sqrt.f64 (/.f64 (+.f64 x z) y)) (patch (sqrt.f64 (/.f64 (+.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2)) (taylor -inf y) (#s(alt (sqrt.f64 (/.f64 (+.f64 x z) y)) (patch (sqrt.f64 (/.f64 (+.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2)) (taylor -inf y) (#s(alt (sqrt.f64 (/.f64 (+.f64 x z) y)) (patch (sqrt.f64 (/.f64 (+.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2)) (taylor -inf y) (#s(alt (sqrt.f64 (/.f64 (+.f64 x z) y)) (patch (sqrt.f64 (/.f64 (+.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2)) (taylor -inf y) (#s(alt (sqrt.f64 (/.f64 (+.f64 x z) y)) (patch (sqrt.f64 (/.f64 (+.f64 x z) y)) #<representation binary64>) () ())) ())

Calls

183 calls:

Time	Variable		Point	Expression
28.0ms	x	@	inf	(+ (* y (* (+ x z) (sqrt (/ 1 (* x z))))) (* 2 (sqrt (* x z))))
27.0ms	z	@	inf	(* y (+ (* x (* z (sqrt (/ 1 (* (+ x z) (* y (* y y))))))) (* 2 (sqrt (/ (+ x z) y)))))
6.0ms	y	@	0	(* y (+ (* x (* z (sqrt (/ 1 (* (+ x z) (* y (* y y))))))) (* 2 (sqrt (/ (+ x z) y)))))
3.0ms	x	@	0	(* y (+ (* x (* z (sqrt (/ 1 (* (+ x z) (* y (* y y))))))) (* 2 (sqrt (/ (+ x z) y)))))
3.0ms	z	@	-inf	(* y (+ (* x (* z (sqrt (/ 1 (* (+ x z) (* y (* y y))))))) (* 2 (sqrt (/ (+ x z) y)))))

rewrite640.0ms (5.5%)

Memory

-12.4MiB live, 338.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 568×	`lower-fma.f32`
4 562×	`lower-fma.f64`
4 338×	`lower-/.f32`
4 332×	`lower-/.f64`
3 820×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	206
0	68	196
1	223	184
2	1535	183
0	8321	183

Stop Event

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

Counts

24 → 915

Calls

Call 1

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

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

simplify772.0ms (6.7%)

Memory

18.8MiB live, 741.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 812×	`lower-fma.f64`
9 812×	`lower-fma.f32`
7 312×	`lower-+.f64`
7 312×	`lower-+.f32`
6 384×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1411	13947
1	4843	13031
0	8341	12537

Stop Event

1×	iter limit
1×	node limit

Counts

732 → 714

Calls

Call 1

Inputs
(* 2 (sqrt (* x z)))
(+ (* 2 (sqrt (* x z))) (* (sqrt (/ 1 (* x z))) (* y (+ x z))))
(+ (* 2 (sqrt (* x z))) (* y (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (* y (pow (+ x z) 2)))) (* (sqrt (/ 1 (* x z))) (+ x z)))))
(+ (* 2 (sqrt (* x z))) (* y (+ (* y (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (pow (+ x z) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow z 5)))) (* y (pow (+ x z) 3)))))) (* (sqrt (/ 1 (* x z))) (+ x z)))))
(* 2 (sqrt (* y (+ x z))))
(* y (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))
(* y (+ (* -1/4 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))
(* y (+ (* -1/4 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 1/8 (* (* (pow x 3) (pow z 3)) (sqrt (/ 1 (* (pow y 7) (pow (+ x z) 5)))))) (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))))
(* -2 (* (sqrt (* y (+ x z))) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 2 (* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))
(* -1 (* y (+ (* -1/4 (* (/ (* (pow x 2) (pow z 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 2 (* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))))
(* -1 (* y (+ (* -1/4 (* (/ (* (pow x 2) (pow z 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 1/8 (* (/ (* (pow x 3) (pow z 3)) (pow (sqrt -1) 4)) (sqrt (/ 1 (* (pow y 7) (pow (+ x z) 5)))))) (+ (* 2 (* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))))
(* 2 (sqrt (* x y)))
(+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y))))
(+ (* 2 (sqrt (* x y))) (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* (sqrt (/ 1 (* x y))) (+ x y)))))
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(* -1 (* z (+ (* -1 (* (sqrt (/ 1 (* (pow y 3) z))) (pow (sqrt -1) 2))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow y 3) z)) (+ (* -1/4 (/ (* (pow x 2) z) (* (pow y 3) (pow (sqrt -1) 2)))) (/ (pow x 3) (pow y 3))))) (* 1/2 (* (pow x 2) (sqrt (/ z (pow y 3)))))) (pow z 3))) (* 1/2 (* x (sqrt (/ 1 (* (pow y 3) (pow z 3))))))))))
(sqrt (/ z (pow y 3)))
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(+ (sqrt (/ 1 (* (pow y 3) z))) (* x (+ (* -1/2 (sqrt (/ 1 (* (pow y 3) (pow z 3))))) (* x (+ (* -5/16 (* x (sqrt (/ 1 (* (pow y 3) (pow z 7)))))) (* 3/8 (sqrt (/ 1 (* (pow y 3) (pow z 5))))))))))
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(+ (sqrt (/ 1 (* x (pow y 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) z)) (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow y 3)))) (pow z 2)))))
(+ (sqrt (/ 1 (* x (pow y 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) z)) (+ (* -1/2 (* (sqrt (/ (pow y 3) (pow x 7))) (+ (* 1/4 (/ (* x (pow z 2)) (pow y 3))) (/ (pow z 3) (pow y 3))))) (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow y 3)))) (pow z 2))))))
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(+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) z)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow y 3)))) (pow z 2))) (* (sqrt (/ 1 (* x (pow y 3)))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ x (pow y 3))) (pow z 2))) (* 1/2 (* (sqrt (/ (pow y 3) x)) (+ (* -1/4 (/ (* x (pow z 2)) (* (pow y 3) (pow (sqrt -1) 2)))) (/ (pow z 3) (pow y 3)))))) (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) z)) (* (sqrt (/ 1 (* x (pow y 3)))) (pow (sqrt -1) 2))))
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(+ (sqrt (/ 1 (* (pow y 3) z))) (+ (* -1/2 (* x (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (+ (* -1/2 (* (sqrt (/ (pow y 3) (pow z 7))) (+ (* 1/4 (/ (* (pow x 2) z) (pow y 3))) (/ (pow x 3) (pow y 3))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (* (pow y 3) (pow z 5)))))))))
(* (sqrt (/ 1 (* (pow y 3) z))) (pow (sqrt -1) 2))
(+ (* -1/2 (* x (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* (sqrt (/ 1 (* (pow y 3) z))) (pow (sqrt -1) 2)))
(+ (* -1/2 (* x (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (* (pow y 3) (pow z 5)))))) (* (sqrt (/ 1 (* (pow y 3) z))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (* (pow x 2) (sqrt (/ z (pow y 3))))) (* 1/2 (* (sqrt (/ (pow y 3) z)) (+ (* -1/4 (/ (* (pow x 2) z) (* (pow y 3) (pow (sqrt -1) 2)))) (/ (pow x 3) (pow y 3)))))) (pow z 3))) (+ (* -1/2 (* x (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* (sqrt (/ 1 (* (pow y 3) z))) (pow (sqrt -1) 2))))
(sqrt (/ 1 (* (pow y 3) (+ x z))))
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(* -1 (* (sqrt (/ 1 (* (pow y 3) (+ x z)))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 (* (pow y 3) (+ x z)))) (pow (sqrt -1) 2)))
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
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(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
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(sqrt (* x z))
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(sqrt (* x z))
(sqrt (* x z))
(sqrt (* x z))
(sqrt (* x z))
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(* -1 (* (sqrt (* x z)) (pow (sqrt -1) 2)))
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(sqrt (* x z))
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(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
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(/ 1 (* x z))
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(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(* (pow y 3) z)
(+ (* x (pow y 3)) (* (pow y 3) z))
(+ (* x (pow y 3)) (* (pow y 3) z))
(+ (* x (pow y 3)) (* (pow y 3) z))
(* x (pow y 3))
(* x (+ (/ (* (pow y 3) z) x) (pow y 3)))
(* x (+ (/ (* (pow y 3) z) x) (pow y 3)))
(* x (+ (/ (* (pow y 3) z) x) (pow y 3)))
(* x (pow y 3))
(* -1 (* x (+ (* -1 (/ (* (pow y 3) z) x)) (* -1 (pow y 3)))))
(* -1 (* x (+ (* -1 (/ (* (pow y 3) z) x)) (* -1 (pow y 3)))))
(* -1 (* x (+ (* -1 (/ (* (pow y 3) z) x)) (* -1 (pow y 3)))))
(* x (pow y 3))
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(+ (* x (pow y 3)) (* (pow y 3) z))
(* (pow y 3) z)
(* z (+ (/ (* x (pow y 3)) z) (pow y 3)))
(* z (+ (/ (* x (pow y 3)) z) (pow y 3)))
(* z (+ (/ (* x (pow y 3)) z) (pow y 3)))
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(* -1 (* z (+ (* -1 (/ (* x (pow y 3)) z)) (* -1 (pow y 3)))))
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(* (pow y 3) (+ x z))
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(* (pow y 3) (+ x z))
(sqrt (/ z y))
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(+ (sqrt (/ z y)) (* x (+ (* -1/8 (* x (sqrt (/ 1 (* y (pow z 3)))))) (* 1/2 (sqrt (/ 1 (* y z)))))))
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(* x (+ (sqrt (/ 1 (* x y))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z))))
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(* x (+ (sqrt (/ 1 (* x y))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) y))) (pow z 2))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) y))) (pow z 3))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z))))))
(* -1 (* (sqrt (/ x y)) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z)) (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) y))) (/ (pow z 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z)) (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) y))) (/ (pow z 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) y))) (/ (pow z 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z)) (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2)))))))
(sqrt (/ x y))
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(* z (+ (sqrt (/ 1 (* y z))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (* y (pow z 5)))))) (* 1/2 (* x (sqrt (/ 1 (* y (pow z 3)))))))))
(* z (+ (sqrt (/ 1 (* y z))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (* y (pow z 5)))))) (+ (* 1/16 (* (pow x 3) (sqrt (/ 1 (* y (pow z 7)))))) (* 1/2 (* x (sqrt (/ 1 (* y (pow z 3))))))))))
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(* -1 (* z (+ (* 1/2 (* x (sqrt (/ 1 (* y (pow z 3)))))) (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 5)))))) (+ (* 1/2 (* x (sqrt (/ 1 (* y (pow z 3)))))) (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))))))
(* -1 (* z (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 5)))))) (+ (* 1/16 (* (/ (pow x 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (* y (pow z 7)))))) (+ (* 1/2 (* x (sqrt (/ 1 (* y (pow z 3)))))) (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2)))))))
(sqrt (/ (+ x z) y))
(sqrt (/ (+ x z) y))
(sqrt (/ (+ x z) y))
(sqrt (/ (+ x z) y))
(sqrt (/ (+ x z) y))
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(sqrt (/ (+ x z) y))
(sqrt (/ (+ x z) y))
(* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2))
(* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2))
(* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2))
(* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2))

Outputs
(* 2 (sqrt (* x z)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z)))
(+ (* 2 (sqrt (* x z))) (* (sqrt (/ 1 (* x z))) (* y (+ x z))))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z))) (.f64 y (+.f64 x z))))
(+ (* 2 (sqrt (* x z))) (* y (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (* y (pow (+ x z) 2)))) (* (sqrt (/ 1 (* x z))) (+ x z)))))
(fma.f64 y (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))))) (.f64 y (.f64 (+.f64 x z) (+.f64 x z)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z))) (+.f64 x z))) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z))))
(+ (* 2 (sqrt (* x z))) (* y (+ (* y (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (pow (+ x z) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow z 5)))) (* y (pow (+ x z) 3)))))) (* (sqrt (/ 1 (* x z))) (+ x z)))))
(fma.f64 y (fma.f64 y (fma.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64)))))) (.f64 y (.f64 (+.f64 x z) (.f64 (+.f64 x z) (+.f64 x z)))) (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))))) (.f64 (+.f64 x z) (+.f64 x z))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z))) (+.f64 x z))) (.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z))))
(* 2 (sqrt (* y (+ x z))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y (+.f64 x z))))
(* y (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))
(.f64 y (fma.f64 x (.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x z) (.f64 y (.f64 y y)))))) (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y)))))
(* y (+ (* -1/4 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))
(.f64 y (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 x z) (.f64 x z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 x z) (.f64 (+.f64 x z) (+.f64 x z))) (pow.f64 y #s(literal 5 binary64)))))) (fma.f64 x (.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x z) (.f64 y (.f64 y y)))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))))))
(* y (+ (* -1/4 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 1/8 (* (* (pow x 3) (pow z 3)) (sqrt (/ 1 (* (pow y 7) (pow (+ x z) 5)))))) (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))))
(.f64 y (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 x z) (.f64 x z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 x z) (.f64 (+.f64 x z) (+.f64 x z))) (pow.f64 y #s(literal 5 binary64)))))) (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 x z) #s(literal 5 binary64)))))) (fma.f64 x (.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x z) (.f64 y (.f64 y y)))))) (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y)))))))
(* -2 (* (sqrt (* y (+ x z))) (pow (sqrt -1) 2)))
(.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 (.f64 y (+.f64 x z)))))
(* -1 (* y (+ (* 2 (* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))
(.f64 (fma.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64)) (.f64 (.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x z) (.f64 y (*.f64 y y))))))) (neg.f64 y))
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(sqrt.f64 (*.f64 x z))
(sqrt (* x z))
(sqrt.f64 (*.f64 x z))
(sqrt (* x z))
(sqrt.f64 (*.f64 x z))
(sqrt (* x z))
(sqrt.f64 (*.f64 x z))
(* -1 (* (sqrt (* x z)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 x z))
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(/ 1 (* x z))
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(/ 1 (* x z))
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(/ 1 (* x z))
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(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(* (pow y 3) z)
(.f64 z (.f64 y (*.f64 y y)))
(+ (* x (pow y 3)) (* (pow y 3) z))
(.f64 (+.f64 x z) (.f64 y (*.f64 y y)))
(+ (* x (pow y 3)) (* (pow y 3) z))
(.f64 (+.f64 x z) (.f64 y (*.f64 y y)))
(+ (* x (pow y 3)) (* (pow y 3) z))
(.f64 (+.f64 x z) (.f64 y (*.f64 y y)))
(* x (pow y 3))
(.f64 x (.f64 y (*.f64 y y)))
(* x (+ (/ (* (pow y 3) z) x) (pow y 3)))
(.f64 x (fma.f64 y (.f64 y y) (/.f64 (.f64 z (.f64 y (*.f64 y y))) x)))
(* x (+ (/ (* (pow y 3) z) x) (pow y 3)))
(.f64 x (fma.f64 y (.f64 y y) (/.f64 (.f64 z (.f64 y (*.f64 y y))) x)))
(* x (+ (/ (* (pow y 3) z) x) (pow y 3)))
(.f64 x (fma.f64 y (.f64 y y) (/.f64 (.f64 z (.f64 y (*.f64 y y))) x)))
(* x (pow y 3))
(.f64 x (.f64 y (*.f64 y y)))
(* -1 (* x (+ (* -1 (/ (* (pow y 3) z) x)) (* -1 (pow y 3)))))
(.f64 (neg.f64 x) (neg.f64 (fma.f64 y (.f64 y y) (/.f64 (.f64 z (.f64 y (*.f64 y y))) x))))
(* -1 (* x (+ (* -1 (/ (* (pow y 3) z) x)) (* -1 (pow y 3)))))
(.f64 (neg.f64 x) (neg.f64 (fma.f64 y (.f64 y y) (/.f64 (.f64 z (.f64 y (*.f64 y y))) x))))
(* -1 (* x (+ (* -1 (/ (* (pow y 3) z) x)) (* -1 (pow y 3)))))
(.f64 (neg.f64 x) (neg.f64 (fma.f64 y (.f64 y y) (/.f64 (.f64 z (.f64 y (*.f64 y y))) x))))
(* x (pow y 3))
(.f64 x (.f64 y (*.f64 y y)))
(+ (* x (pow y 3)) (* (pow y 3) z))
(.f64 (+.f64 x z) (.f64 y (*.f64 y y)))
(+ (* x (pow y 3)) (* (pow y 3) z))
(.f64 (+.f64 x z) (.f64 y (*.f64 y y)))
(+ (* x (pow y 3)) (* (pow y 3) z))
(.f64 (+.f64 x z) (.f64 y (*.f64 y y)))
(* (pow y 3) z)
(.f64 z (.f64 y (*.f64 y y)))
(* z (+ (/ (* x (pow y 3)) z) (pow y 3)))
(.f64 z (fma.f64 x (/.f64 (.f64 y (.f64 y y)) z) (.f64 y (*.f64 y y))))
(* z (+ (/ (* x (pow y 3)) z) (pow y 3)))
(.f64 z (fma.f64 x (/.f64 (.f64 y (.f64 y y)) z) (.f64 y (*.f64 y y))))
(* z (+ (/ (* x (pow y 3)) z) (pow y 3)))
(.f64 z (fma.f64 x (/.f64 (.f64 y (.f64 y y)) z) (.f64 y (*.f64 y y))))
(* (pow y 3) z)
(.f64 z (.f64 y (*.f64 y y)))
(* -1 (* z (+ (* -1 (/ (* x (pow y 3)) z)) (* -1 (pow y 3)))))
(.f64 (neg.f64 z) (neg.f64 (fma.f64 x (/.f64 (.f64 y (.f64 y y)) z) (.f64 y (*.f64 y y)))))
(* -1 (* z (+ (* -1 (/ (* x (pow y 3)) z)) (* -1 (pow y 3)))))
(.f64 (neg.f64 z) (neg.f64 (fma.f64 x (/.f64 (.f64 y (.f64 y y)) z) (.f64 y (*.f64 y y)))))
(* -1 (* z (+ (* -1 (/ (* x (pow y 3)) z)) (* -1 (pow y 3)))))
(.f64 (neg.f64 z) (neg.f64 (fma.f64 x (/.f64 (.f64 y (.f64 y y)) z) (.f64 y (*.f64 y y)))))
(* (pow y 3) (+ x z))
(.f64 (+.f64 x z) (.f64 y (*.f64 y y)))
(* (pow y 3) (+ x z))
(.f64 (+.f64 x z) (.f64 y (*.f64 y y)))
(* (pow y 3) (+ x z))
(.f64 (+.f64 x z) (.f64 y (*.f64 y y)))
(* (pow y 3) (+ x z))
(.f64 (+.f64 x z) (.f64 y (*.f64 y y)))
(* (pow y 3) (+ x z))
(.f64 (+.f64 x z) (.f64 y (*.f64 y y)))
(* (pow y 3) (+ x z))
(.f64 (+.f64 x z) (.f64 y (*.f64 y y)))
(* (pow y 3) (+ x z))
(.f64 (+.f64 x z) (.f64 y (*.f64 y y)))
(* (pow y 3) (+ x z))
(.f64 (+.f64 x z) (.f64 y (*.f64 y y)))
(* (pow y 3) (+ x z))
(.f64 (+.f64 x z) (.f64 y (*.f64 y y)))
(* (pow y 3) (+ x z))
(.f64 (+.f64 x z) (.f64 y (*.f64 y y)))
(* (pow y 3) (+ x z))
(.f64 (+.f64 x z) (.f64 y (*.f64 y y)))
(* (pow y 3) (+ x z))
(.f64 (+.f64 x z) (.f64 y (*.f64 y y)))
(sqrt (/ z y))
(sqrt.f64 (/.f64 z y))
(+ (sqrt (/ z y)) (* 1/2 (* x (sqrt (/ 1 (* y z))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) (sqrt.f64 (/.f64 z y)))
(+ (sqrt (/ z y)) (* x (+ (* -1/8 (* x (sqrt (/ 1 (* y (pow z 3)))))) (* 1/2 (sqrt (/ 1 (* y z)))))))
(fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 z (.f64 z z))))))) (sqrt.f64 (/.f64 z y)))
(+ (sqrt (/ z y)) (* x (+ (* 1/2 (sqrt (/ 1 (* y z)))) (* x (+ (* -1/8 (sqrt (/ 1 (* y (pow z 3))))) (* 1/16 (* x (sqrt (/ 1 (* y (pow z 5)))))))))))
(fma.f64 x (fma.f64 x (fma.f64 (.f64 #s(literal 1/16 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 z #s(literal 5 binary64))))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 z (.f64 z z))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 z y)))
(sqrt (/ x y))
(sqrt.f64 (/.f64 x y))
(* x (+ (sqrt (/ 1 (* x y))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (.f64 x x)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)))))
(* x (+ (sqrt (/ 1 (* x y))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) y))) (pow z 2))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z)))))
(.f64 x (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 z z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 x #s(literal 5 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (.f64 x x)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))))))
(* x (+ (sqrt (/ 1 (* x y))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) y))) (pow z 2))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) y))) (pow z 3))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z))))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x y))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 z z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 x #s(literal 5 binary64)))))) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 z (.f64 z z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 x #s(literal 7 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (.f64 x x)))))))))))
(* -1 (* (sqrt (/ x y)) (pow (sqrt -1) 2)))
(neg.f64 (neg.f64 (sqrt.f64 (/.f64 x y))))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z)) (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2)))))
(.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) (.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (.f64 x x)))))) (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) y))) (/ (pow z 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z)) (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))))))
(.f64 (neg.f64 x) (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 x #s(literal 5 binary64))))) (/.f64 (.f64 z z) #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) (.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (.f64 x x)))))) (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) y))) (/ (pow z 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) y))) (/ (pow z 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z)) (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2)))))))
(neg.f64 (.f64 x (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 x #s(literal 5 binary64))))) (/.f64 (.f64 z z) #s(literal -1 binary64))) (fma.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 x #s(literal 7 binary64))))) (/.f64 (.f64 z (.f64 z z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (.f64 x x)))))) (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)))))))))
(sqrt (/ x y))
(sqrt.f64 (/.f64 x y))
(+ (sqrt (/ x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) z)))
(fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 1/2 binary64)) z (sqrt.f64 (/.f64 x y)))
(+ (sqrt (/ x y)) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) y))) z)) (* 1/2 (sqrt (/ 1 (* x y)))))))
(fma.f64 z (fma.f64 #s(literal -1/8 binary64) (.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (.f64 x x)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 x y)))
(+ (sqrt (/ x y)) (* z (+ (* 1/2 (sqrt (/ 1 (* x y)))) (* z (+ (* -1/8 (sqrt (/ 1 (* (pow x 3) y)))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) y))) z)))))))
(fma.f64 z (fma.f64 z (fma.f64 #s(literal 1/16 binary64) (.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 x #s(literal 5 binary64)))))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (.f64 x x))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 x y)))
(sqrt (/ z y))
(sqrt.f64 (/.f64 z y))
(* z (+ (sqrt (/ 1 (* y z))) (* 1/2 (* x (sqrt (/ 1 (* y (pow z 3))))))))
(.f64 z (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 z (.f64 z z))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y)))))
(* z (+ (sqrt (/ 1 (* y z))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (* y (pow z 5)))))) (* 1/2 (* x (sqrt (/ 1 (* y (pow z 3)))))))))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 z (.f64 z z)))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 z #s(literal 5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))))))
(* z (+ (sqrt (/ 1 (* y z))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (* y (pow z 5)))))) (+ (* 1/16 (* (pow x 3) (sqrt (/ 1 (* y (pow z 7)))))) (* 1/2 (* x (sqrt (/ 1 (* y (pow z 3))))))))))
(.f64 z (+.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 z (.f64 z z)))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 z #s(literal 5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))))) (.f64 (.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 z #s(literal 7 binary64))))))))
(* -1 (* (sqrt (/ z y)) (pow (sqrt -1) 2)))
(neg.f64 (neg.f64 (sqrt.f64 (/.f64 z y))))
(* -1 (* z (+ (* 1/2 (* x (sqrt (/ 1 (* y (pow z 3)))))) (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2)))))
(.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 z (*.f64 z z))))))))
(* -1 (* z (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 5)))))) (+ (* 1/2 (* x (sqrt (/ 1 (* y (pow z 3)))))) (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))))))
(.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 z (.f64 z z))))) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x x) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 z #s(literal 5 binary64)))))))))
(* -1 (* z (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 5)))))) (+ (* 1/16 (* (/ (pow x 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (* y (pow z 7)))))) (+ (* 1/2 (* x (sqrt (/ 1 (* y (pow z 3)))))) (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2)))))))
(.f64 (neg.f64 z) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 x (.f64 x x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 z #s(literal 7 binary64))))) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 z (.f64 z z))))) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x x) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 z #s(literal 5 binary64))))))))))
(sqrt (/ (+ x z) y))
(sqrt.f64 (/.f64 (+.f64 x z) y))
(sqrt (/ (+ x z) y))
(sqrt.f64 (/.f64 (+.f64 x z) y))
(sqrt (/ (+ x z) y))
(sqrt.f64 (/.f64 (+.f64 x z) y))
(sqrt (/ (+ x z) y))
(sqrt.f64 (/.f64 (+.f64 x z) y))
(sqrt (/ (+ x z) y))
(sqrt.f64 (/.f64 (+.f64 x z) y))
(sqrt (/ (+ x z) y))
(sqrt.f64 (/.f64 (+.f64 x z) y))
(sqrt (/ (+ x z) y))
(sqrt.f64 (/.f64 (+.f64 x z) y))
(sqrt (/ (+ x z) y))
(sqrt.f64 (/.f64 (+.f64 x z) y))
(* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64))
(* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64))
(* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64))
(* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64))

eval383.0ms (3.3%)

Memory: -0.9MiB live, 344.4MiB allocated
Compiler: Compiled 55 707 to 5 876 computations (89.5% saved)

prune376.0ms (3.3%)

Memory

11.3MiB live, 405.6MiB allocated

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	1 849	12	1 861
Fresh	10	2	12
Picked	2	3	5
Done	0	0	0
Total	1 861	17	1 878

Accuracy

99.8%

Counts

1 878 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.8%	(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 z)) (sqrt.f64 (+.f64 y x)))
	39.9%	(.f64 z (fma.f64 (.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z (.f64 z z)) (+.f64 x y)))) (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))))
	37.1%	(.f64 y (fma.f64 x (.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x z) (.f64 y (.f64 y y)))))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (+.f64 z x)))))))
	47.1%	(.f64 y (.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64))))
	43.1%	(.f64 y (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y))))
	2.5%	(*.f64 y (sqrt.f64 (/.f64 z x)))
▶	69.6%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) (.f64 z x))))))
	69.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (.f64 x (+.f64 y z)) (.f64 (.f64 x (-.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 y z)))) (.f64 y z))))
▶	34.1%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z y (.f64 z x))))
▶	43.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (*.f64 x z))))
✓	70.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 x z))))
✓	34.3%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 x y))))
	32.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z y)))
	30.1%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y (fma.f64 x (/.f64 z y) z))))
	39.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z y))))
▶	3.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z)))
✓	38.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))

Compiler

Compiled 494 to 320 computations (35.2% saved)

simplify243.0ms (2.1%)

Memory

-14.3MiB live, 439.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z))
✓	cost-diff	0	(sqrt.f64 (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)))
✓	cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (*.f64 x z))))
✓	cost-diff	1408	(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))
✓	cost-diff	0	(sqrt.f64 (+.f64 y x))
✓	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (sqrt.f64 z))
✓	cost-diff	0	(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 z)) (sqrt.f64 (+.f64 y x)))
✓	cost-diff	0	(*.f64 z x)
✓	cost-diff	0	(sqrt.f64 (fma.f64 z y (*.f64 z x)))
✓	cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z y (.f64 z x))))
✓	cost-diff	192	(fma.f64 z y (*.f64 z x))
✓	cost-diff	0	(*.f64 x z)
✓	cost-diff	0	(sqrt.f64 (*.f64 x z))
✓	cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) (*.f64 z x)))
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) (*.f64 z x))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) (*.f64 z x)))))
✓	cost-diff	320	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) (.f64 z x))))))

Rules

7 024×	`lower-fma.f32`
7 020×	`lower-fma.f64`
4 188×	`lower-*.f32`
4 170×	`lower-*.f64`
3 186×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	222
0	56	201
1	94	189
2	146	185
3	269	185
4	660	185
5	3558	185
0	8388	185

Stop Event

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

Calls

Call 1

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

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

localize119.0ms (1%)

Memory

-4.1MiB live, 231.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (*.f64 x z))))
✓	accuracy	93.7%	(sqrt.f64 (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)))
✓	accuracy	85.8%	(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (sqrt.f64 z))
✓	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	100.0%	(sqrt.f64 (+.f64 y x))
✓	accuracy	99.9%	(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 z)) (sqrt.f64 (+.f64 y x)))
✓	accuracy	100.0%	(fma.f64 z y (*.f64 z x))
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z y (.f64 z x))))
✓	accuracy	93.7%	(sqrt.f64 (fma.f64 z y (*.f64 z x)))
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z)))
✓	accuracy	99.0%	(sqrt.f64 (*.f64 x z))
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) (.f64 z x))))))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) (*.f64 z x)))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) (*.f64 z x)))))
✓	accuracy	93.4%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) (*.f64 z x))))

Samples

48.0ms	194×	0	invalid
16.0ms	62×	0	valid

Compiler

Compiled 235 to 34 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 19.0ms (47% of total)

ival-sqrt: 10.0ms (24.7% of total)

ival-add: 6.0ms (14.8% of total)

ival-div: 5.0ms (12.4% of total)

ival-sub: 1.0ms (2.5% of total)

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

exact: 0.0ms (0% of total)

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

series63.0ms (0.5%)

Memory

25.5MiB live, 140.4MiB allocated

Counts

19 → 564

Calls

Call 1

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

Outputs
#s(alt (* 2 (sqrt (* x z))) (taylor 0 y) (#s(alt (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) (.f64 z x)))))) (patch (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) (.f64 z x)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (sqrt (* x z))) (* (sqrt (/ 1 (* x z))) (* y (+ x z)))) (taylor 0 y) (#s(alt (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) (.f64 z x)))))) (patch (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) (.f64 z x)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (sqrt (* x z))) (* y (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (* y (pow (+ x z) 2)))) (* (sqrt (/ 1 (* x z))) (+ x z))))) (taylor 0 y) (#s(alt (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) (.f64 z x)))))) (patch (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) (.f64 z x)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (sqrt (* x z))) (* y (+ (* y (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (pow (+ x z) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow z 5)))) (* y (pow (+ x z) 3)))))) (* (sqrt (/ 1 (* x z))) (+ x z))))) (taylor 0 y) (#s(alt (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) (.f64 z x)))))) (patch (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) (.f64 z x)))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt (* y (+ x z)))) (taylor inf y) (#s(alt (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) (.f64 z x)))))) (patch (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) (.f64 z x)))))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))) (taylor inf y) (#s(alt (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) (.f64 z x)))))) (patch (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) (.f64 z x)))))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1/4 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))) (taylor inf y) (#s(alt (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) (.f64 z x)))))) (patch (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) (.f64 z x)))))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1/4 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 1/8 (* (* (pow x 3) (pow z 3)) (sqrt (/ 1 (* (pow y 7) (pow (+ x z) 5)))))) (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))) (taylor inf y) (#s(alt (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) (.f64 z x)))))) (patch (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) (.f64 z x)))))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (* y (+ x z))) (pow (sqrt -1) 2))) (taylor -inf y) (#s(alt (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) (.f64 z x)))))) (patch (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) (.f64 z x)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* 2 (* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))) (taylor -inf y) (#s(alt (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) (.f64 z x)))))) (patch (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) (.f64 z x)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/4 (* (/ (* (pow x 2) (pow z 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 2 (* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))) (taylor -inf y) (#s(alt (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) (.f64 z x)))))) (patch (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) (.f64 z x)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/4 (* (/ (* (pow x 2) (pow z 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 1/8 (* (/ (* (pow x 3) (pow z 3)) (pow (sqrt -1) 4)) (sqrt (/ 1 (* (pow y 7) (pow (+ x z) 5)))))) (+ (* 2 (* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))))) (taylor -inf y) (#s(alt (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) (.f64 z x)))))) (patch (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) (.f64 z x)))))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* z (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))))) (taylor -inf z) (#s(alt (sqrt.f64 (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z))) (patch (sqrt.f64 (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* z (+ (* -1/8 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/16 (* (* (pow x 3) (* (pow y 3) (sqrt -1))) (sqrt (/ 1 (* (pow z 7) (pow (+ (* -1 x) (* -1 y)) 5)))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))))))) (taylor -inf z) (#s(alt (sqrt.f64 (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z))) (patch (sqrt.f64 (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (sqrt (* y z)) (taylor 0 x) (#s(alt (sqrt.f64 (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z))) (patch (sqrt.f64 (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (* y z)) (* 1/2 (* (* x (+ y z)) (sqrt (/ 1 (* y z)))))) (taylor 0 x) (#s(alt (sqrt.f64 (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z))) (patch (sqrt.f64 (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (* y z)) (* x (+ (* -1/8 (* (* x (pow (+ y z) 2)) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* 1/2 (* (sqrt (/ 1 (* y z))) (+ y z)))))) (taylor 0 x) (#s(alt (sqrt.f64 (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z))) (patch (sqrt.f64 (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (* y z)) (* x (+ (* 1/2 (* (sqrt (/ 1 (* y z))) (+ y z))) (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/16 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5))))))))))) (taylor 0 x) (#s(alt (sqrt.f64 (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z))) (patch (sqrt.f64 (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (sqrt (* x (+ y z))) (taylor inf x) (#s(alt (sqrt.f64 (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z))) (patch (sqrt.f64 (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sqrt (/ (+ y z) x)) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))) (taylor inf x) (#s(alt (sqrt.f64 (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z))) (patch (sqrt.f64 (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sqrt (/ (+ y z) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))) (taylor inf x) (#s(alt (sqrt.f64 (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z))) (patch (sqrt.f64 (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sqrt (/ (+ y z) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (+ y z) 5)))) (* (pow y 3) (pow z 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))))) (taylor inf x) (#s(alt (sqrt.f64 (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z))) (patch (sqrt.f64 (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* x (+ (* -1 y) (* -1 z)))) (sqrt -1))) (taylor -inf x) (#s(alt (sqrt.f64 (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z))) (patch (sqrt.f64 (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))))) (taylor -inf x) (#s(alt (sqrt.f64 (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z))) (patch (sqrt.f64 (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1)))))) (taylor -inf x) (#s(alt (sqrt.f64 (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z))) (patch (sqrt.f64 (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (+ (* -1 y) (* -1 z)) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))))))) (taylor -inf x) (#s(alt (sqrt.f64 (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z))) (patch (sqrt.f64 (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 y) (#s(alt (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) (patch (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x z) (* y (+ x z))) (taylor 0 y) (#s(alt (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) (patch (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x z) (* y (+ x z))) (taylor 0 y) (#s(alt (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) (patch (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x z) (* y (+ x z))) (taylor 0 y) (#s(alt (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) (patch (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x z)) (taylor inf y) (#s(alt (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) (patch (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (+ z (/ (* x z) y)))) (taylor inf y) (#s(alt (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) (patch (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (+ z (/ (* x z) y)))) (taylor inf y) (#s(alt (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) (patch (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (+ z (/ (* x z) y)))) (taylor inf y) (#s(alt (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) (patch (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x z)) (taylor -inf y) (#s(alt (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) (patch (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ (* x z) y))))) (taylor -inf y) (#s(alt (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) (patch (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ (* x z) y))))) (taylor -inf y) (#s(alt (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) (patch (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ (* x z) y))))) (taylor -inf y) (#s(alt (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) (patch (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) (patch (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (+ x y))) (taylor 0 z) (#s(alt (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) (patch (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (+ x y))) (taylor 0 z) (#s(alt (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) (patch (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (+ x y))) (taylor 0 z) (#s(alt (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) (patch (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x y)) (taylor inf z) (#s(alt (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) (patch (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (+ y (/ (* x y) z)))) (taylor inf z) (#s(alt (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) (patch (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (+ y (/ (* x y) z)))) (taylor inf z) (#s(alt (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) (patch (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (+ y (/ (* x y) z)))) (taylor inf z) (#s(alt (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) (patch (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 x) (* -1 y)))) (taylor -inf z) (#s(alt (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) (patch (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (* x y) z)))))) (taylor -inf z) (#s(alt (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) (patch (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (* x y) z)))))) (taylor -inf z) (#s(alt (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) (patch (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (* x y) z)))))) (taylor -inf z) (#s(alt (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) (patch (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 x) (#s(alt (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) (patch (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ y z)) (* y z)) (taylor 0 x) (#s(alt (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) (patch (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ y z)) (* y z)) (taylor 0 x) (#s(alt (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) (patch (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ y z)) (* y z)) (taylor 0 x) (#s(alt (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) (patch (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) (patch (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ z (/ (* y z) x)))) (taylor inf x) (#s(alt (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) (patch (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ z (/ (* y z) x)))) (taylor inf x) (#s(alt (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) (patch (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ z (/ (* y z) x)))) (taylor inf x) (#s(alt (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) (patch (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 z)))) (taylor -inf x) (#s(alt (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) (patch (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x)))))) (taylor -inf x) (#s(alt (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) (patch (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x)))))) (taylor -inf x) (#s(alt (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) (patch (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x)))))) (taylor -inf x) (#s(alt (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) (patch (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (.f64 x z)) #<representation binary64>) () ())) ())

Calls

141 calls:

Time	Variable		Point	Expression
10.0ms	x	@	-inf	(sqrt (+ y x))
5.0ms	x	@	inf	(sqrt (/ 1 (+ (* y (+ z x)) (* z x))))
4.0ms	x	@	0	(sqrt (/ 1 (+ (* y (+ z x)) (* z x))))
1.0ms	y	@	0	(sqrt (+ y x))
1.0ms	x	@	-inf	(sqrt (/ 1 (+ (* y (+ z x)) (* z x))))

rewrite340.0ms (2.9%)

Memory

-34.3MiB live, 500.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 312×	`lower-fma.f32`
6 308×	`lower-fma.f64`
4 444×	`lower-*.f32`
4 428×	`lower-*.f64`
3 564×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	169
0	56	153
1	192	124
2	1255	124
0	8269	124

Stop Event

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

Counts

19 → 613

Calls

Call 1

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

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

simplify805.0ms (7%)

Memory

-3.5MiB live, 547.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 024×	`lower-fma.f64`
7 024×	`lower-fma.f32`
6 686×	`lower-*.f64`
6 686×	`lower-*.f32`
5 070×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1279	13166
1	4392	12573
0	8220	12107

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 558

Calls

Call 1

Inputs
(* 2 (sqrt (* x z)))
(+ (* 2 (sqrt (* x z))) (* (sqrt (/ 1 (* x z))) (* y (+ x z))))
(+ (* 2 (sqrt (* x z))) (* y (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (* y (pow (+ x z) 2)))) (* (sqrt (/ 1 (* x z))) (+ x z)))))
(+ (* 2 (sqrt (* x z))) (* y (+ (* y (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (pow (+ x z) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow z 5)))) (* y (pow (+ x z) 3)))))) (* (sqrt (/ 1 (* x z))) (+ x z)))))
(* 2 (sqrt (* y (+ x z))))
(* y (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))
(* y (+ (* -1/4 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))
(* y (+ (* -1/4 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 1/8 (* (* (pow x 3) (pow z 3)) (sqrt (/ 1 (* (pow y 7) (pow (+ x z) 5)))))) (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))))
(* -2 (* (sqrt (* y (+ x z))) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 2 (* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))
(* -1 (* y (+ (* -1/4 (* (/ (* (pow x 2) (pow z 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 2 (* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))))
(* -1 (* y (+ (* -1/4 (* (/ (* (pow x 2) (pow z 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 1/8 (* (/ (* (pow x 3) (pow z 3)) (pow (sqrt -1) 4)) (sqrt (/ 1 (* (pow y 7) (pow (+ x z) 5)))))) (+ (* 2 (* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))))
(* 2 (sqrt (* x y)))
(+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y))))
(+ (* 2 (sqrt (* x y))) (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* (sqrt (/ 1 (* x y))) (+ x y)))))
(+ (* 2 (sqrt (* x y))) (* z (+ (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))) (* (sqrt (/ 1 (* x y))) (+ x y)))))
(* 2 (sqrt (* z (+ x y))))
(* z (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))
(* z (+ (* -1/4 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))
(* z (+ (* -1/4 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/8 (* (* (pow x 3) (pow y 3)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))))
(* -2 (* (sqrt (* z (+ (* -1 x) (* -1 y)))) (sqrt -1)))
(* -1 (* z (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y)))))))))
(* -1 (* z (+ (* -1/4 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))))))
(* -1 (* z (+ (* -1/4 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/8 (* (* (pow x 3) (* (pow y 3) (sqrt -1))) (sqrt (/ 1 (* (pow z 7) (pow (+ (* -1 x) (* -1 y)) 5)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y)))))))))))
(* 2 (sqrt (* y z)))
(+ (* 2 (sqrt (* y z))) (* (* x (+ y z)) (sqrt (/ 1 (* y z)))))
(+ (* 2 (sqrt (* y z))) (* x (+ (* -1/4 (* (* x (pow (+ y z) 2)) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* (sqrt (/ 1 (* y z))) (+ y z)))))
(+ (* 2 (sqrt (* y z))) (* x (+ (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/8 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5)))))))) (* (sqrt (/ 1 (* y z))) (+ y z)))))
(* 2 (sqrt (* x (+ y z))))
(* x (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))
(* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))
(* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow x 7) (pow (+ y z) 5)))) (* (pow y 3) (pow z 3)))) (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))))
(* -2 (* (sqrt (* x (+ (* -1 y) (* -1 z)))) (sqrt -1)))
(* -1 (* x (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1)))))))
(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))))))
(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow x 7) (pow (+ (* -1 y) (* -1 z)) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1)))))))))
(sqrt (* x z))
(+ (sqrt (* x z)) (* 1/2 (* (sqrt (/ 1 (* x z))) (* y (+ x z)))))
(+ (sqrt (* x z)) (* y (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (* y (pow (+ x z) 2)))) (* 1/2 (* (sqrt (/ 1 (* x z))) (+ x z))))))
(+ (sqrt (* x z)) (* y (+ (* 1/2 (* (sqrt (/ 1 (* x z))) (+ x z))) (* y (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (pow (+ x z) 2))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) (pow z 5)))) (* y (pow (+ x z) 3)))))))))
(sqrt (* y (+ x z)))
(* y (+ (sqrt (/ (+ x z) y)) (* 1/2 (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))
(* y (+ (sqrt (/ (+ x z) y)) (+ (* -1/8 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (* 1/2 (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))))
(* y (+ (sqrt (/ (+ x z) y)) (+ (* -1/8 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 1/16 (* (* (pow x 3) (pow z 3)) (sqrt (/ 1 (* (pow y 7) (pow (+ x z) 5)))))) (* 1/2 (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))))
(* -1 (* (sqrt (* y (+ x z))) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))) (* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (/ (* (pow x 2) (pow z 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 1/2 (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))) (* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (/ (* (pow x 2) (pow z 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 1/16 (* (/ (* (pow x 3) (pow z 3)) (pow (sqrt -1) 4)) (sqrt (/ 1 (* (pow y 7) (pow (+ x z) 5)))))) (+ (* 1/2 (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))) (* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2)))))))
(sqrt (* x y))
(+ (sqrt (* x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) (* z (+ x y)))))
(+ (sqrt (* x y)) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y))))))
(+ (sqrt (* x y)) (* z (+ (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y))) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))))))
(sqrt (* z (+ x y)))
(* z (+ (sqrt (/ (+ x y) z)) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))
(* z (+ (sqrt (/ (+ x y) z)) (+ (* -1/8 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))))
(* z (+ (sqrt (/ (+ x y) z)) (+ (* -1/8 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/16 (* (* (pow x 3) (pow y 3)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))))
(* -1 (* (sqrt (* z (+ (* -1 x) (* -1 y)))) (sqrt -1)))
(* -1 (* z (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1)))))
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))))))
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/16 (* (* (pow x 3) (* (pow y 3) (sqrt -1))) (sqrt (/ 1 (* (pow z 7) (pow (+ (* -1 x) (* -1 y)) 5)))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1)))))))
(sqrt (* y z))
(+ (sqrt (* y z)) (* 1/2 (* (* x (+ y z)) (sqrt (/ 1 (* y z))))))
(+ (sqrt (* y z)) (* x (+ (* -1/8 (* (* x (pow (+ y z) 2)) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* 1/2 (* (sqrt (/ 1 (* y z))) (+ y z))))))
(+ (sqrt (* y z)) (* x (+ (* 1/2 (* (sqrt (/ 1 (* y z))) (+ y z))) (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/16 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5)))))))))))
(sqrt (* x (+ y z)))
(* x (+ (sqrt (/ (+ y z) x)) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))
(* x (+ (sqrt (/ (+ y z) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))))
(* x (+ (sqrt (/ (+ y z) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (+ y z) 5)))) (* (pow y 3) (pow z 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))))
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(* x (+ (sqrt (/ (+ y z) x)) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))
(* x (+ (sqrt (/ (+ y z) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))))
(* x (+ (sqrt (/ (+ y z) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (+ y z) 5)))) (* (pow y 3) (pow z 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))))
(* -1 (* (sqrt (* x (+ (* -1 y) (* -1 z)))) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (+ (* -1 y) (* -1 z)) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1)))))))
(* x z)
(+ (* x z) (* y (+ x z)))
(+ (* x z) (* y (+ x z)))
(+ (* x z) (* y (+ x z)))
(* y (+ x z))
(* y (+ x (+ z (/ (* x z) y))))
(* y (+ x (+ z (/ (* x z) y))))
(* y (+ x (+ z (/ (* x z) y))))
(* y (+ x z))
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ (* x z) y)))))
(* x y)
(+ (* x y) (* z (+ x y)))
(+ (* x y) (* z (+ x y)))
(+ (* x y) (* z (+ x y)))
(* z (+ x y))
(* z (+ x (+ y (/ (* x y) z))))
(* z (+ x (+ y (/ (* x y) z))))
(* z (+ x (+ y (/ (* x y) z))))
(* -1 (* z (+ (* -1 x) (* -1 y))))
(* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (* x y) z))))))
(* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (* x y) z))))))
(* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (* x y) z))))))
(* y z)
(+ (* x (+ y z)) (* y z))
(+ (* x (+ y z)) (* y z))
(+ (* x (+ y z)) (* y z))
(* x (+ y z))
(* x (+ y (+ z (/ (* y z) x))))
(* x (+ y (+ z (/ (* y z) x))))
(* x (+ y (+ z (/ (* y z) x))))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x))))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x))))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x))))))

Outputs
(* 2 (sqrt (* x z)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z)))
(+ (* 2 (sqrt (* x z))) (* (sqrt (/ 1 (* x z))) (* y (+ x z))))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z))) (.f64 y (+.f64 x z))))
(+ (* 2 (sqrt (* x z))) (* y (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (* y (pow (+ x z) 2)))) (* (sqrt (/ 1 (* x z))) (+ x z)))))
(fma.f64 y (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))))) (.f64 y (.f64 (+.f64 x z) (+.f64 x z)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z))) (+.f64 x z))) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z))))
(+ (* 2 (sqrt (* x z))) (* y (+ (* y (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (pow (+ x z) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow z 5)))) (* y (pow (+ x z) 3)))))) (* (sqrt (/ 1 (* x z))) (+ x z)))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))))) (.f64 (+.f64 x z) (+.f64 x z))) (.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64)))))) (.f64 y (.f64 (+.f64 x z) (.f64 (+.f64 x z) (+.f64 x z)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z))) (+.f64 x z))) (.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z))))
(* 2 (sqrt (* y (+ x z))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y (+.f64 x z))))
(* y (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))
(.f64 y (fma.f64 (.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x z) (.f64 y (.f64 y y))))) (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y)))))
(* y (+ (* -1/4 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))
(.f64 y (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 x z) (.f64 x z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 x z) (.f64 (+.f64 x z) (+.f64 x z))) (pow.f64 y #s(literal 5 binary64)))))) (fma.f64 (.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x z) (.f64 y (.f64 y y))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))))))
(* y (+ (* -1/4 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 1/8 (* (* (pow x 3) (pow z 3)) (sqrt (/ 1 (* (pow y 7) (pow (+ x z) 5)))))) (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))))
(.f64 y (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 x z) (.f64 x z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 x z) (.f64 (+.f64 x z) (+.f64 x z))) (pow.f64 y #s(literal 5 binary64)))))) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y)) (fma.f64 (.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x z) (.f64 y (.f64 y y))))) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 x z) #s(literal 5 binary64))))))))))
(* -2 (* (sqrt (* y (+ x z))) (pow (sqrt -1) 2)))
(.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 (.f64 y (+.f64 x z)))))
(* -1 (* y (+ (* 2 (* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))
(.f64 (fma.f64 (.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x z) (.f64 y (.f64 y y))))) (.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64)))) (neg.f64 y))
(* -1 (* y (+ (* -1/4 (* (/ (* (pow x 2) (pow z 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 2 (* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))))
(.f64 (fma.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64)) (fma.f64 x (.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x z) (.f64 y (.f64 y y)))))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 x z) (.f64 x z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 x z) (.f64 (+.f64 x z) (+.f64 x z))) (pow.f64 y #s(literal 5 binary64)))))) #s(literal -1 binary64)))) (neg.f64 y))
(* -1 (* y (+ (* -1/4 (* (/ (* (pow x 2) (pow z 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 1/8 (* (/ (* (pow x 3) (pow z 3)) (pow (sqrt -1) 4)) (sqrt (/ 1 (* (pow y 7) (pow (+ x z) 5)))))) (+ (* 2 (* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))))
(.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (/.f64 (.f64 z z) #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 x z) (.f64 (+.f64 x z) (+.f64 x z))) (pow.f64 y #s(literal 5 binary64))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 x z) #s(literal 5 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 (.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x z) (.f64 y (.f64 y y))))) (.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64)))))) (neg.f64 y))
(* 2 (sqrt (* x y)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))
(+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y))))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x y))) (.f64 z (+.f64 x y))))
(+ (* 2 (sqrt (* x y))) (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* (sqrt (/ 1 (* x y))) (+ x y)))))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)) (.f64 z (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (.f64 z (.f64 (+.f64 x y) (+.f64 x y)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x y))) (+.f64 x y)))))
(+ (* 2 (sqrt (* x y))) (* z (+ (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))) (* (sqrt (/ 1 (* x y))) (+ x y)))))
(fma.f64 z (fma.f64 z (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (.f64 (+.f64 x y) (+.f64 x y))) (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64))))) (.f64 z (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x y))) (+.f64 x y))) (.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))))
(* 2 (sqrt (* z (+ x y))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 x y))))
(* z (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))
(.f64 z (fma.f64 (.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z (.f64 z z)) (+.f64 x y)))) (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))))
(* z (+ (* -1/4 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))
(.f64 z (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (.f64 y y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 5 binary64)) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)))))) (fma.f64 (.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z (.f64 z z)) (+.f64 x y)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))))))
(* z (+ (* -1/4 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/8 (* (* (pow x 3) (pow y 3)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))))
(.f64 z (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (.f64 (.f64 y y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 5 binary64)) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)))))))) (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 x y) #s(literal 5 binary64))))) (fma.f64 (.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z (.f64 z z)) (+.f64 x y)))) (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))))))
(* -2 (* (sqrt (* z (+ (* -1 x) (* -1 y)))) (sqrt -1)))
(.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 z (-.f64 (neg.f64 x) y)))))
(* -1 (* z (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y)))))))))
(.f64 (fma.f64 (.f64 x (.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z (.f64 z z)) (-.f64 (neg.f64 x) y)))) (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (-.f64 (neg.f64 x) y) z))))) (neg.f64 z))
(* -1 (* z (+ (* -1/4 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))))))
(.f64 (fma.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (-.f64 (neg.f64 x) y) z))) (fma.f64 (.f64 x (.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z (.f64 z z)) (-.f64 (neg.f64 x) y)))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 y y)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 5 binary64)) (.f64 #s(literal -1 binary64) (.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))))))) (neg.f64 z))
(* -1 (* z (+ (* -1/4 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/8 (* (* (pow x 3) (* (pow y 3) (sqrt -1))) (sqrt (/ 1 (* (pow z 7) (pow (+ (* -1 x) (* -1 y)) 5)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y)))))))))))
(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 y y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 5 binary64)) (.f64 #s(literal -1 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))))))) (fma.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (-.f64 (neg.f64 x) y) z))) (fma.f64 (.f64 x (.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z (.f64 z z)) (-.f64 (neg.f64 x) y)))) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (-.f64 (neg.f64 x) y) #s(literal 5 binary64))))))))) (neg.f64 z))
(* 2 (sqrt (* y z)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z y)))
(+ (* 2 (sqrt (* y z))) (* (* x (+ y z)) (sqrt (/ 1 (* y z)))))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z y)) (.f64 (.f64 x (+.f64 z y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y)))))
(+ (* 2 (sqrt (* y z))) (* x (+ (* -1/4 (* (* x (pow (+ y z) 2)) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* (sqrt (/ 1 (* y z))) (+ y z)))))
(fma.f64 x (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 x (.f64 (+.f64 z y) (+.f64 z y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y)))))) (.f64 (+.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))))) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z y))))
(+ (* 2 (sqrt (* y z))) (* x (+ (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/8 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5)))))))) (* (sqrt (/ 1 (* y z))) (+ y z)))))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z y)) (.f64 x (fma.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 (+.f64 z y) (.f64 (+.f64 z y) (+.f64 z y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64))))))) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (+.f64 z y) (+.f64 z y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y)))))))) (.f64 (+.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)))))))
(* 2 (sqrt (* x (+ y z))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z y))))
(* x (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))
(.f64 x (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 z y)))) (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z y) x)))))
(* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))
(.f64 x (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (.f64 (+.f64 z y) (.f64 (+.f64 z y) (+.f64 z y)))))) (.f64 (.f64 z z) (.f64 y y))) (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 z y)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z y) x))))))
(* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow x 7) (pow (+ y z) 5)))) (* (pow y 3) (pow z 3)))) (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))))
(.f64 x (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (.f64 (+.f64 z y) (.f64 (+.f64 z y) (+.f64 z y)))))) (.f64 (.f64 z z) (.f64 y y))) (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (+.f64 z y) #s(literal 5 binary64)))))) (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 z y)))) (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z y) x)))))))
(* -2 (* (sqrt (* x (+ (* -1 y) (* -1 z)))) (sqrt -1)))
(.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 x (-.f64 (neg.f64 z) y)))))
(* -1 (* x (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1)))))))
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(+ (* x (+ y z)) (* y z))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y (+ z (/ (* y z) x))))
(*.f64 x (+.f64 z (fma.f64 y (/.f64 z x) y)))
(* x (+ y (+ z (/ (* y z) x))))
(*.f64 x (+.f64 z (fma.f64 y (/.f64 z x) y)))
(* x (+ y (+ z (/ (* y z) x))))
(*.f64 x (+.f64 z (fma.f64 y (/.f64 z x) y)))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(neg.f64 (*.f64 x (-.f64 (neg.f64 z) y)))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x))))))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 (fma.f64 y (/.f64 z x) z)) y))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x))))))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 (fma.f64 y (/.f64 z x) z)) y))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x))))))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 (fma.f64 y (/.f64 z x) z)) y))

eval168.0ms (1.5%)

Memory: 32.1MiB live, 420.2MiB allocated
Compiler: Compiled 32 340 to 3 492 computations (89.2% saved)

prune188.0ms (1.6%)

Memory

-20.5MiB live, 351.3MiB allocated

Pruning

20 alts after pruning (13 fresh and 7 done)

	Pruned	Kept	Total
New	1 219	4	1 223
Fresh	0	9	9
Picked	1	4	5
Done	0	3	3
Total	1 220	20	1 240

Accuracy

99.8%

Counts

1 240 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.8%	(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)))))
✓	47.8%	(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 z)) (sqrt.f64 (+.f64 y x)))
▶	45.9%	(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 z)) (sqrt.f64 y))
	39.9%	(.f64 z (fma.f64 (.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z (.f64 z z)) (+.f64 x y)))) (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))))
	37.1%	(.f64 y (fma.f64 x (.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x z) (.f64 y (.f64 y y)))))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (+.f64 z x)))))))
▶	47.1%	(.f64 y (.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64))))
	43.1%	(.f64 y (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y))))
	2.5%	(*.f64 y (sqrt.f64 (/.f64 z x)))
	39.5%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 z y))))))
	38.1%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)))))
▶	69.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (.f64 x (+.f64 y z)) (.f64 (.f64 x (-.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 y z)))) (.f64 y z))))
✓	34.1%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z y (.f64 z x))))
✓	43.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) (*.f64 x z))))
✓	70.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 x z))))
✓	34.3%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 x y))))
▶	32.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z y)))
	30.1%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y (fma.f64 x (/.f64 z y) z))))
	39.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z y))))
✓	3.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z)))
✓	38.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))

Compiler

Compiled 511 to 342 computations (33.1% saved)

simplify203.0ms (1.8%)

Memory

17.4MiB live, 451.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))))
✓	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (sqrt.f64 z))
✓	cost-diff	320	(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)))))
✓	cost-diff	0	(sqrt.f64 (/.f64 (+.f64 x z) y))
✓	cost-diff	0	(.f64 y (.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64))))
✓	cost-diff	128	(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64)))
✓	cost-diff	192	(*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64))
✓	cost-diff	0	(sqrt.f64 y)
✓	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (sqrt.f64 z))
✓	cost-diff	0	(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 z)) (sqrt.f64 y))
✓	cost-diff	0	(*.f64 z y)
✓	cost-diff	0	(sqrt.f64 (*.f64 z y))
✓	cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z y)))
✓	cost-diff	0	(sqrt.f64 (fma.f64 (.f64 x (+.f64 y z)) (.f64 (.f64 x (-.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 y z)))) (*.f64 y z)))
✓	cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (.f64 x (+.f64 y z)) (.f64 (.f64 x (-.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 y z)))) (.f64 y z))))
✓	cost-diff	320	(fma.f64 (.f64 x (+.f64 y z)) (.f64 (.f64 x (-.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 y z)))) (*.f64 y z))
✓	cost-diff	2048	(.f64 (.f64 x (-.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y z))))

Rules

5 184×	`lower-fma.f32`
5 182×	`lower-fma.f64`
3 996×	`lower-*.f32`
3 972×	`lower-*.f64`
2 376×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	243
0	63	195
1	113	185
2	215	185
3	500	185
4	2654	185
5	5273	185
0	8088	182

Stop Event

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

Calls

Call 1

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

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

localize122.0ms (1.1%)

Memory

-11.5MiB live, 224.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 y x))
✓	accuracy	100.0%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))))
✓	accuracy	99.7%	(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)))))
✓	accuracy	100.0%	(*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64))
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64)))
✓	accuracy	99.8%	(.f64 y (.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal -1 binary64))))
✓	accuracy	95.9%	(sqrt.f64 (/.f64 (+.f64 x z) y))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (sqrt.f64 z))
✓	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	100.0%	(sqrt.f64 y)
✓	accuracy	99.7%	(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 z)) (sqrt.f64 y))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z y)))
✓	accuracy	84.6%	(sqrt.f64 (*.f64 z y))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y z)))
✓	accuracy	97.2%	(fma.f64 (.f64 x (+.f64 y z)) (.f64 (.f64 x (-.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 y z)))) (*.f64 y z))
✓	accuracy	94.5%	(.f64 (.f64 x (-.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y z))))
✓	accuracy	84.6%	(sqrt.f64 (fma.f64 (.f64 x (+.f64 y z)) (.f64 (.f64 x (-.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 y z)))) (*.f64 y z)))

Samples

41.0ms	133×	0	invalid
34.0ms	123×	0	valid

Compiler

Compiled 248 to 37 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 20.0ms (41.1% of total)

ival-div: 12.0ms (24.7% of total)

ival-sqrt: 11.0ms (22.6% of total)

ival-add: 5.0ms (10.3% of total)

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

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

exact: 0.0ms (0% of total)

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

series105.0ms (0.9%)

Memory

4.6MiB live, 87.6MiB allocated

Counts

20 → 564

Calls

Call 1

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

Outputs
#s(alt 1 (taylor 0 x) (#s(alt (.f64 (.f64 x (-.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 y z)))) (patch (.f64 (.f64 x (-.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (.f64 (.f64 x (-.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 y z)))) (patch (.f64 (.f64 x (-.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (.f64 (.f64 x (-.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 y z)))) (patch (.f64 (.f64 x (-.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (.f64 (.f64 x (-.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 y z)))) (patch (.f64 (.f64 x (-.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 y z)))) #<representation binary64>) () ())) ())
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#s(alt (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ x y))) y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ x y) 1) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ x (pow y 2))) (/ 1 y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ y x))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ y x) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ())

Calls

141 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	(* 2 (* (sqrt (/ (+ x z) y)) -1))
1.0ms	x	@	-inf	(* 2 (sqrt (+ (* (* x (+ y z)) (* (* x (- y z)) (/ 1 (* x (- y z))))) (* y z))))
1.0ms	x	@	-inf	(* y (* 2 (* (sqrt (/ (+ x z) y)) -1)))
1.0ms	z	@	-inf	(* y (* 2 (* (sqrt (/ (+ x z) y)) -1)))
1.0ms	x	@	inf	(* y (* 2 (* (sqrt (/ (+ x z) y)) -1)))

rewrite373.0ms (3.2%)

Memory

-11.6MiB live, 588.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 962×	`lower-fma.f32`
7 960×	`lower-fma.f64`
5 864×	`lower-*.f32`
5 840×	`lower-*.f64`
3 374×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	186
0	63	135
1	197	120
2	1151	119
0	8748	116

Stop Event

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

Counts

20 → 570

Calls

Call 1

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

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

simplify457.0ms (4%)

Memory

11.5MiB live, 641.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 872×	`lower-fma.f64`
8 872×	`lower-fma.f32`
6 296×	`lower-+.f64`
6 296×	`lower-+.f32`
5 794×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1420	9929
1	4623	9263
0	8301	8917

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 564

Calls

Call 1

Inputs
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
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(+ (* x (+ y z)) (* y z))
(* x (+ y z))
(* x (+ y (+ z (/ (* y z) x))))
(* x (+ y (+ z (/ (* y z) x))))
(* x (+ y (+ z (/ (* y z) x))))
(* x (+ y z))
(* -1 (* x (+ (* -1 (+ y z)) (* -1 (/ (* y z) x)))))
(* -1 (* x (+ (* -1 (+ y z)) (* -1 (/ (* y z) x)))))
(* -1 (* x (+ (* -1 (+ y z)) (* -1 (/ (* y z) x)))))
(* x z)
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(+ (* x z) (* y (+ x z)))
(+ (* x z) (* y (+ x z)))
(* y (+ x z))
(* y (+ x (+ z (/ (* x z) y))))
(* y (+ x (+ z (/ (* x z) y))))
(* y (+ x (+ z (/ (* x z) y))))
(* -1 (* y (+ (* -1 x) (* -1 z))))
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ (* x z) y))))))
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ (* x z) y))))))
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ (* x z) y))))))
(* x y)
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(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (/ (* (pow y 2) (pow z 2)) (pow (sqrt -1) 2)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow x 7) (pow (+ y z) 5)))) (/ (* (pow y 3) (pow z 3)) (pow (sqrt -1) 4)))) (+ (* 2 (* (sqrt (/ (+ y z) x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))))
(* 2 (sqrt (* x z)))
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(* 2 (sqrt (* y (+ x z))))
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(* y (+ (* -1/4 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))
(* y (+ (* -1/4 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 1/8 (* (* (pow x 3) (pow z 3)) (sqrt (/ 1 (* (pow y 7) (pow (+ x z) 5)))))) (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))))
(* -2 (* (sqrt (* y (+ (* -1 x) (* -1 z)))) (sqrt -1)))
(* -1 (* y (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))) (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z)))))))))
(* -1 (* y (+ (* -1/4 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))) (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))))))
(* -1 (* y (+ (* -1/4 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 1/8 (* (* (pow x 3) (* (pow z 3) (sqrt -1))) (sqrt (/ 1 (* (pow y 7) (pow (+ (* -1 x) (* -1 z)) 5)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))) (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z)))))))))))
(* 2 (sqrt (* x y)))
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(+ (* 2 (sqrt (* x y))) (* z (+ (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))) (* (sqrt (/ 1 (* x y))) (+ x y)))))
(* 2 (sqrt (* z (+ x y))))
(* z (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))
(* z (+ (* -1/4 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))
(* z (+ (* -1/4 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/8 (* (* (pow x 3) (pow y 3)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))))
(* -2 (* (sqrt (* z (+ (* -1 x) (* -1 y)))) (sqrt -1)))
(* -1 (* z (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y)))))))))
(* -1 (* z (+ (* -1/4 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))))))
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(sqrt (* y z))
(+ (sqrt (* y z)) (* 1/2 (* (* x (+ y z)) (sqrt (/ 1 (* y z))))))
(+ (sqrt (* y z)) (* x (+ (* -1/8 (* (* x (pow (+ y z) 2)) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* 1/2 (* (sqrt (/ 1 (* y z))) (+ y z))))))
(+ (sqrt (* y z)) (* x (+ (* 1/2 (* (sqrt (/ 1 (* y z))) (+ y z))) (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/16 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5)))))))))))
(sqrt (* x (+ y z)))
(* x (+ (sqrt (/ (+ y z) x)) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))
(* x (+ (sqrt (/ (+ y z) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))))
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(* -1 (* (sqrt (* x (+ y z))) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))) (* (sqrt (/ (+ y z) x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (/ (* (pow y 2) (pow z 2)) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))) (* (sqrt (/ (+ y z) x)) (pow (sqrt -1) 2))))))
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(sqrt (* x z))
(+ (sqrt (* x z)) (* 1/2 (* (sqrt (/ 1 (* x z))) (* y (+ x z)))))
(+ (sqrt (* x z)) (* y (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (* y (pow (+ x z) 2)))) (* 1/2 (* (sqrt (/ 1 (* x z))) (+ x z))))))
(+ (sqrt (* x z)) (* y (+ (* 1/2 (* (sqrt (/ 1 (* x z))) (+ x z))) (* y (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (pow (+ x z) 2))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) (pow z 5)))) (* y (pow (+ x z) 3)))))))))
(sqrt (* y (+ x z)))
(* y (+ (sqrt (/ (+ x z) y)) (* 1/2 (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))
(* y (+ (sqrt (/ (+ x z) y)) (+ (* -1/8 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (* 1/2 (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))))
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(+ (sqrt x) (* y (+ (* 1/2 (sqrt (/ 1 x))) (* y (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) y)))))))
(sqrt y)
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(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(sqrt y)
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(sqrt x)
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Outputs
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
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1
#s(literal 1 binary64)
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1
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1
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1
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1
#s(literal 1 binary64)
1
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1
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1
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#s(literal 1 binary64)
1
#s(literal 1 binary64)
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#s(literal 1 binary64)
1
#s(literal 1 binary64)
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#s(literal 1 binary64)
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(+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* 1/2 (* (sqrt (/ 1 (pow x 5))) (pow y 2)))))
(fma.f64 #s(literal -1/2 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) y)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ (* 1/4 (* x (pow y 2))) (pow y 3)))) (* 1/2 (* (sqrt (/ 1 (pow x 5))) (pow y 2))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (.f64 (.f64 y y) (fma.f64 #s(literal 1/4 binary64) x y)))) (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(fma.f64 #s(literal -1/2 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) y)) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 #s(literal -1/2 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (pow y 2))) (* 1/2 (* (sqrt (/ 1 x)) (+ (* -1/4 (/ (* x (pow y 2)) (pow (sqrt -1) 2))) (pow y 3))))) (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 x (.f64 y y)) #s(literal -1 binary64)) (.f64 y (.f64 y y))) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (.f64 y y))) (.f64 x (.f64 x x))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y (pow x 2))) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (*.f64 x x)))
(+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))
(fma.f64 y (+.f64 (/.f64 y (.f64 x (.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(fma.f64 y (fma.f64 y (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* -1 (/ x y))) y)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y)) y)
(/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (-.f64 (/.f64 x y) (/.f64 (.f64 x x) (.f64 y y)))) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* -1 (/ (- (/ x y) 1) y))
(neg.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) (neg.f64 y)) #s(literal -1 binary64)) (neg.f64 y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (.f64 x (.f64 x x)) y) (*.f64 x x)) (neg.f64 y)) x) (neg.f64 y)) #s(literal -1 binary64)) (neg.f64 y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ x (pow y 2))) (/ 1 y))
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y)))
(+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))
(fma.f64 x (+.f64 (/.f64 x (.f64 y (.f64 y y))) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))
(+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1 (/ y x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 y y) x) y) x)) x)
(/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))) (-.f64 (/.f64 y x) (/.f64 (.f64 y y) (.f64 x x)))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ y x) 1) x))
(neg.f64 (/.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 y y) x) y) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x))
(/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (.f64 y (.f64 y y)) x) (*.f64 y y)) x)) y) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x))

eval231.0ms (2%)

Memory: 26.8MiB live, 323.4MiB allocated
Compiler: Compiled 25 268 to 3 552 computations (85.9% saved)

prune238.0ms (2.1%)

Memory

-20.4MiB live, 394.9MiB allocated

Pruning

18 alts after pruning (10 fresh and 8 done)

	Pruned	Kept	Total
New	1 171	6	1 177
Fresh	4	4	8
Picked	3	2	5
Done	1	6	7
Total	1 179	18	1 197

Accuracy

99.9%

Counts

1 197 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.6%	(/.f64 (*.f64 y #s(literal -2 binary64)) (sqrt.f64 (/.f64 y (+.f64 x z))))
	47.8%	(/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))))
	45.8%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sqrt.f64 z)))) (sqrt.f64 y))
✓	47.8%	(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 z)) (sqrt.f64 (+.f64 y x)))
✓	45.9%	(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 z)) (sqrt.f64 y))
	43.1%	(.f64 y (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y))))
	47.1%	(.f64 y (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 x y))))
	2.5%	(*.f64 y (sqrt.f64 (/.f64 z x)))
	45.7%	(.f64 x (fma.f64 (neg.f64 z) (sqrt.f64 (/.f64 y (.f64 x (.f64 x x)))) (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 y x)))))
	39.5%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 z y))))))
	49.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (.f64 (-.f64 y z) (+.f64 y z)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) x) (.f64 y z))))
✓	34.1%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z y (.f64 z x))))
✓	70.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 x z))))
✓	34.3%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 x y))))
✓	32.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z y)))
	39.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 z y))))
✓	3.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x z)))
✓	38.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))

Compiler

Compiled 783 to 359 computations (54.2% saved)

regimes121.0ms (1%)

Memory

19.1MiB live, 137.0MiB allocated

Counts

40 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

46.0ms	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
28.0ms	x
12.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
11.0ms	z
11.0ms	y

Results

Accuracy	Segments	Branch
89.4%	3	`x`
97.3%	3	`y`
92.1%	3	`z`
86.2%	3	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
86.2%	3	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
86.2%	3	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes8.0ms (0.1%)

Memory

18.6MiB live, 18.6MiB allocated

Counts

22 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
97.3%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Memory

-26.3MiB live, 11.6MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
96.3%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0%)

Memory

9.5MiB live, 9.5MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
96.3%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes28.0ms (0.2%)

Memory

1.9MiB live, 40.3MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

6 calls:

8.0ms	x
4.0ms	z
4.0ms	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
4.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
4.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))

Results

Accuracy	Segments	Branch
84.0%	2	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
84.0%	2	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
84.0%	2	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
78.1%	2	`x`
84.2%	2	`z`
84.6%	2	`y`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes54.0ms (0.5%)

Memory

-9.1MiB live, 27.9MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

6 calls:

35.0ms	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
4.0ms	z
4.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
4.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
70.2%	1	`x`
70.2%	1	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
70.2%	1	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
70.2%	1	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
70.2%	1	`z`
70.2%	1	`y`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes31.0ms (0.3%)

Memory

-7.7MiB live, 37.3MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

6 calls:

13.0ms	y
4.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
4.0ms	z
3.0ms	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
3.0ms	x

Results

Accuracy	Segments	Branch
68.6%	2	`x`
70.5%	2	`y`
45.2%	4	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
45.2%	4	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
45.2%	4	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
65.4%	2	`z`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes3.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
69.1%	2	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0%)

Memory

7.3MiB live, 7.3MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
66.3%	2	`x`
68.2%	2	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes10.0ms (0.1%)

Memory

21.5MiB live, 21.5MiB allocated

Accuracy

Total -22.8b remaining (-57.7%)

Threshold costs -22.8b (-57.7%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
38.4%	1	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
38.4%	1	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
38.4%	1	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
38.4%	1	`z`
38.4%	1	`x`
38.4%	1	`y`

Compiler

Compiled 58 to 37 computations (36.2% saved)

bsearch55.0ms (0.5%)

Memory

8.1MiB live, 122.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
28.0ms	2.143806329958594e-289	1.9289384612523375e-281
22.0ms	-2.6075184672528434e+31	-5.171712024516542e+30

Samples

19.0ms	240×	0	valid
17.0ms	230×	0	invalid

Compiler

Compiled 452 to 329 computations (27.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 14.0ms (62.8% of total)

ival-add: 4.0ms (17.9% of total)

ival-sqrt: 3.0ms (13.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch49.0ms (0.4%)

Memory

-32.6MiB live, 95.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
38.0ms	-8.583843533722005e-263	2.143806329958594e-289
6.0ms	-2.6075184672528434e+31	-5.171712024516542e+30

Samples

14.0ms	194×	0	invalid
13.0ms	192×	0	valid

Compiler

Compiled 518 to 371 computations (28.4% saved)

Precisions

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

ival-mult: 10.0ms (61.3% of total)

ival-add: 3.0ms (18.4% of total)

ival-sqrt: 3.0ms (18.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch32.0ms (0.3%)

Memory

-7.8MiB live, 71.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	6857759426063687000.0	1.297395476625362e+20
1.0ms	-2.6075184672528434e+31	-5.171712024516542e+30

Samples

11.0ms	153×	0	invalid
7.0ms	112×	0	valid

Compiler

Compiled 371 to 264 computations (28.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 6.0ms (57.8% of total)

ival-add: 2.0ms (19.3% of total)

ival-sqrt: 2.0ms (19.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch34.0ms (0.3%)

Memory

2.6MiB live, 77.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
28.0ms	5617037446040545.0	6857759426063687000.0
1.0ms	-2.6075184672528434e+31	-5.171712024516542e+30

Samples

10.0ms	156×	0	invalid
8.0ms	128×	0	valid

Compiler

Compiled 390 to 283 computations (27.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 6.0ms (53.9% of total)

ival-add: 3.0ms (26.9% of total)

ival-sqrt: 2.0ms (18% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5617037446040545.0	6857759426063687000.0

Compiler

Compiled 228 to 169 computations (25.9% saved)

bsearch35.0ms (0.3%)

Memory

9.4MiB live, 90.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
32.0ms	-1.1773225969528064e-253	-8.583843533722005e-263

Samples

13.0ms	144×	0	valid
9.0ms	129×	0	invalid

Compiler

Compiled 236 to 179 computations (24.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 7.0ms (63% of total)

ival-add: 2.0ms (18% of total)

ival-sqrt: 2.0ms (18% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.1773225969528064e-253	-8.583843533722005e-263

Compiler

Compiled 218 to 170 computations (22% saved)

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.1773225969528064e-253	-8.583843533722005e-263

Compiler

Compiled 200 to 161 computations (19.5% saved)

simplify10.0ms (0.1%)

Memory

-11.2MiB live, 27.8MiB allocated

Algorithm

1×	egg-herbie

Rules

34×	`*-commutative_binary64`
6×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	236
1	89	236

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal -8999999999999999897486646837248 binary64)) (.f64 y (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 x y)))) (if (<=.f64 y #s(literal 6212971049969201/326998476314168493941780105303955630664491214509745363599777340200912796363811072538207513066313433266477866490952498420772444240018406385375505907430986779905229729456305877240633380281444431820005925969026076507067319984967003404515550047182527554765966689382523869862684015858539562586584645632 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 x z)))) (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))))))
(if (<=.f64 y #s(literal -8999999999999999897486646837248 binary64)) (.f64 y (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 x y)))) (if (<=.f64 y #s(literal 2304172108893349/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 x z)))) (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 z)) (sqrt.f64 (+.f64 y x)))))
(if (<=.f64 y #s(literal -8999999999999999897486646837248 binary64)) (.f64 y (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 x y)))) (if (<=.f64 y #s(literal 124000000000000000000 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 x z)))) (.f64 y (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y))))))
(if (<=.f64 y #s(literal -8999999999999999897486646837248 binary64)) (.f64 y (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 x y)))) (if (<=.f64 y #s(literal 6500000000000000000 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 x z)))) (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 z)) (sqrt.f64 y))))
(if (<=.f64 y #s(literal 6500000000000000000 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 x z)))) (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 z)) (sqrt.f64 y)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 x z))))
(if (<=.f64 y #s(literal -6097958284811465/70906491683854249133971333415503528601229677279443476631916611638829262598057001759775558209235971002092300595769547131083230268742795262708226708464736682213924924871800416657575912944521796077262840069882938251784694133132833485038618990914757637167551284096438594475925700608 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 y z)))) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 x y)))))
(if (<=.f64 y #s(literal -6097958284811465/70906491683854249133971333415503528601229677279443476631916611638829262598057001759775558209235971002092300595769547131083230268742795262708226708464736682213924924871800416657575912944521796077262840069882938251784694133132833485038618990914757637167551284096438594475925700608 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 y z)))) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y z))))
(if (<=.f64 y #s(literal -6097958284811465/70906491683854249133971333415503528601229677279443476631916611638829262598057001759775558209235971002092300595769547131083230268742795262708226708464736682213924924871800416657575912944521796077262840069882938251784694133132833485038618990914757637167551284096438594475925700608 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y))) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y z))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))

Outputs
(if (<=.f64 y #s(literal -8999999999999999897486646837248 binary64)) (.f64 y (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 x y)))) (if (<=.f64 y #s(literal 6212971049969201/326998476314168493941780105303955630664491214509745363599777340200912796363811072538207513066313433266477866490952498420772444240018406385375505907430986779905229729456305877240633380281444431820005925969026076507067319984967003404515550047182527554765966689382523869862684015858539562586584645632 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 x z)))) (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))))))
(if (<=.f64 y #s(literal -8999999999999999897486646837248 binary64)) (.f64 y (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 x y)))) (if (<=.f64 y #s(literal 6212971049969201/326998476314168493941780105303955630664491214509745363599777340200912796363811072538207513066313433266477866490952498420772444240018406385375505907430986779905229729456305877240633380281444431820005925969026076507067319984967003404515550047182527554765966689382523869862684015858539562586584645632 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 x z) (.f64 x z)))) (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))))))
(if (<=.f64 y #s(literal -8999999999999999897486646837248 binary64)) (.f64 y (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 x y)))) (if (<=.f64 y #s(literal 2304172108893349/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 x z)))) (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 z)) (sqrt.f64 (+.f64 y x)))))
(if (<=.f64 y #s(literal -8999999999999999897486646837248 binary64)) (.f64 y (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 x y)))) (if (<=.f64 y #s(literal 2304172108893349/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 x z) (.f64 x z)))) (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 z)) (sqrt.f64 (+.f64 y x)))))
(if (<=.f64 y #s(literal -8999999999999999897486646837248 binary64)) (.f64 y (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 x y)))) (if (<=.f64 y #s(literal 124000000000000000000 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 x z)))) (.f64 y (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y))))))
(if (<=.f64 y #s(literal -8999999999999999897486646837248 binary64)) (.f64 y (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 x y)))) (if (<=.f64 y #s(literal 124000000000000000000 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 x z) (.f64 x z)))) (.f64 y (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y))))))
(if (<=.f64 y #s(literal -8999999999999999897486646837248 binary64)) (.f64 y (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 x y)))) (if (<=.f64 y #s(literal 6500000000000000000 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 x z)))) (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 z)) (sqrt.f64 y))))
(if (<=.f64 y #s(literal -8999999999999999897486646837248 binary64)) (.f64 y (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 x y)))) (if (<=.f64 y #s(literal 6500000000000000000 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 x z) (.f64 x z)))) (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 z)) (sqrt.f64 y))))
(if (<=.f64 y #s(literal 6500000000000000000 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 x z)))) (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 z)) (sqrt.f64 y)))
(if (<=.f64 y #s(literal 6500000000000000000 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 x z) (.f64 x z)))) (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 z)) (sqrt.f64 y)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (.f64 x z))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 x z) (.f64 x z))))
(if (<=.f64 y #s(literal -6097958284811465/70906491683854249133971333415503528601229677279443476631916611638829262598057001759775558209235971002092300595769547131083230268742795262708226708464736682213924924871800416657575912944521796077262840069882938251784694133132833485038618990914757637167551284096438594475925700608 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 y z)))) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 x y)))))
(if (<=.f64 y #s(literal -6097958284811465/70906491683854249133971333415503528601229677279443476631916611638829262598057001759775558209235971002092300595769547131083230268742795262708226708464736682213924924871800416657575912944521796077262840069882938251784694133132833485038618990914757637167551284096438594475925700608 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 y z)))) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 z (+.f64 y x)))))
(if (<=.f64 y #s(literal -6097958284811465/70906491683854249133971333415503528601229677279443476631916611638829262598057001759775558209235971002092300595769547131083230268742795262708226708464736682213924924871800416657575912944521796077262840069882938251784694133132833485038618990914757637167551284096438594475925700608 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (+.f64 y z)))) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y z))))
(if (<=.f64 y #s(literal -6097958284811465/70906491683854249133971333415503528601229677279443476631916611638829262598057001759775558209235971002092300595769547131083230268742795262708226708464736682213924924871800416657575912944521796077262840069882938251784694133132833485038618990914757637167551284096438594475925700608 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y))) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y z))))
(if (<=.f64 y #s(literal -6097958284811465/70906491683854249133971333415503528601229677279443476631916611638829262598057001759775558209235971002092300595769547131083230268742795262708226708464736682213924924871800416657575912944521796077262840069882938251784694133132833485038618990914757637167551284096438594475925700608 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y x))) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y z))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y x)))

soundness1.5s (12.6%)

Memory

22.9MiB live, 1 388.3MiB allocated

Rules

11 034×	`lower-fma.f64`
11 034×	`lower-fma.f32`
9 812×	`lower-fma.f64`
9 812×	`lower-fma.f32`
8 872×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	501	3429
1	1684	3363
2	6236	3318
0	8104	3177
0	34	186
0	63	135
1	197	120
2	1151	119
0	8748	116
0	29	169
0	56	153
1	192	124
2	1255	124
0	8269	124
0	1420	9929
1	4623	9263
0	8301	8917
0	1279	13166
1	4392	12573
0	8220	12107
0	35	206
0	68	196
1	223	184
2	1535	183
0	8321	183
0	11	44
0	18	36
1	55	36
2	435	36
3	6667	36
0	8469	33
0	1411	13947
1	4843	13031
0	8341	12537

Stop Event

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

Compiler

Compiled 700 to 389 computations (44.4% saved)

preprocess117.0ms (1%)

Memory: -4.5MiB live, 282.1MiB allocated
Compiler: Compiled 894 to 370 computations (58.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze218.0ms (1.9%)

sample1.8s (15.8%)

preprocess53.0ms (0.5%)

explain168.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify16.0ms (0.1%)

localize31.0ms (0.3%)

series28.0ms (0.2%)

rewrite398.0ms (3.5%)

simplify410.0ms (3.6%)

eval49.0ms (0.4%)

prune82.0ms (0.7%)

simplify51.0ms (0.4%)

localize176.0ms (1.5%)

series150.0ms (1.3%)

rewrite640.0ms (5.5%)

simplify772.0ms (6.7%)

eval383.0ms (3.3%)

prune376.0ms (3.3%)

simplify243.0ms (2.1%)

localize119.0ms (1%)

series63.0ms (0.5%)

rewrite340.0ms (2.9%)

simplify805.0ms (7%)

eval168.0ms (1.5%)

prune188.0ms (1.6%)

simplify203.0ms (1.8%)

localize122.0ms (1.1%)

series105.0ms (0.9%)

rewrite373.0ms (3.2%)

simplify457.0ms (4%)

eval231.0ms (2%)

prune238.0ms (2.1%)

regimes121.0ms (1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0%)

regimes28.0ms (0.2%)

regimes54.0ms (0.5%)

regimes31.0ms (0.3%)

regimes3.0ms (0%)

regimes5.0ms (0%)

regimes10.0ms (0.1%)

bsearch55.0ms (0.5%)

bsearch49.0ms (0.4%)

bsearch32.0ms (0.3%)

bsearch34.0ms (0.3%)

bsearch1.0ms (0%)

bsearch35.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify10.0ms (0.1%)

soundness1.5s (12.6%)

preprocess117.0ms (1%)

end0.0ms (0%)

Profiling