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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze274.0ms (2.8%)

Memory

7.0MiB live, 332.9MiB 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)

sample1.9s (18.9%)

Memory

35.8MiB live, 2 397.4MiB allocated

Samples

806.0ms	8 256×	0	valid
565.0ms	4 533×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 813.0ms

ival-mult: 555.0ms (68.3% of total)

ival-add: 122.0ms (15% of total)

ival-sqrt: 114.0ms (14% of total)

ival-true: 9.0ms (1.1% of total)

exact: 8.0ms (1% of total)

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

Bogosity

explain126.0ms (1.3%)

Memory

5.2MiB live, 221.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
84	-	-	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
9	-	-	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
6	-	-	`(+.f64 (.f64 x y) (.f64 x z))`
0	-	-	`z`
0	-	-	`(*.f64 x z)`
0	-	-	`(*.f64 x y)`
0	-	-	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`y`
0	-	-	`(*.f64 y z)`
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	76	0
↳	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`	overflow	76
↳	`(*.f64 y z)`	overflow	41
↳	`(+.f64 (.f64 x y) (.f64 x z))`	overflow	52
↳	`(*.f64 x z)`	overflow	30
↳	`(*.f64 x y)`	overflow	37
`+.f64`	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`	nan-rescue	9	0
↳	`(+.f64 (.f64 x y) (.f64 x z))`	overflow	52
↳	`(*.f64 x z)`	overflow	30
↳	`(*.f64 x y)`	overflow	37
↳	`(*.f64 y z)`	overflow	41
`sqrt.f64`	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`	uflow-rescue	8	0
↳	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`	underflow	8
↳	`(*.f64 y z)`	underflow	22
↳	`(+.f64 (.f64 x y) (.f64 x z))`	underflow	10
↳	`(*.f64 x z)`	underflow	20
↳	`(*.f64 x y)`	underflow	28
`+.f64`	`(+.f64 (.f64 x y) (.f64 x z))`	nan-rescue	6	0
↳	`(*.f64 x y)`	overflow	37
↳	`(*.f64 x z)`	overflow	30

Confusion

	Predicted +	Predicted -
+	84	0
-	0	172

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	84	0	0
-	0	0	172

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	172
1	75
2	3
3	6

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

43.0ms

512×

valid

Compiler

Compiled 189 to 48 computations (74.6% saved)

Precisions

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

ival-mult: 14.0ms (60.1% of total)

ival-add: 4.0ms (17.2% of total)

ival-sqrt: 4.0ms (17.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess54.0ms (0.5%)

Memory

-9.6MiB live, 72.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	118
1	133	112
2	236	108
3	446	108
4	931	108
5	1456	108
6	1852	108
7	1944	108
8	1962	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 (sqrt.f64 (fma.f64 (+.f64 z x) y (.f64 z x))) #s(literal 2 binary64))

Symmetry

(sort x y z)

Compiler

Compiled 14 to 11 computations (21.4% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))

Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify4.0ms (0%)

Memory

10.9MiB live, 10.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
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))

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

localize58.0ms (0.6%)

Memory

-15.6MiB live, 61.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
accuracy	0.6093750000000001	(+.f64 (.f64 x y) (.f64 x z))
accuracy	1.7929687500000002	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
accuracy	19.883505298843133	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))

Samples

51.0ms

256×

valid

Compiler

Compiled 116 to 24 computations (79.3% saved)

Precisions

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

ival-mult: 6.0ms (54.5% of total)

ival-add: 2.0ms (18.2% of total)

ival-sqrt: 2.0ms (18.2% of total)

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

exact: 0.0ms (0% of total)

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

series70.0ms (0.7%)

Memory

-12.6MiB live, 67.7MiB 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) (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 y) (taylor 0 z) (#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 (+ x y))) (taylor 0 z) (#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 (+ x y))) (taylor 0 z) (#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 (+ x y))) (taylor 0 z) (#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 (* 2 (sqrt (* x y))) (taylor 0 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 (+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y)))) (taylor 0 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 (+ (* 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))))) (taylor 0 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 (+ (* 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))))) (taylor 0 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 (* 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 (* 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 (* z (+ x y)) (taylor inf z) (#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 (* z (+ x (+ y (/ (* x y) z)))) (taylor inf z) (#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 (* z (+ x (+ y (/ (* x y) z)))) (taylor inf z) (#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 (* z (+ x (+ y (/ (* x y) z)))) (taylor inf z) (#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 (* 2 (sqrt (* z (+ x 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 (* z (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x 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 (* 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)))))))) (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 (* 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))))))))) (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 (* 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 (* 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 (* -1 (* z (+ (* -1 x) (* -1 y)))) (taylor -inf z) (#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 (* 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 (* 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 (* 2 (sqrt (* y z))) (taylor 0 x) (#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 (+ (* 2 (sqrt (* y z))) (* (* x (+ y z)) (sqrt (/ 1 (* y z))))) (taylor 0 x) (#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 (+ (* 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))))) (taylor 0 x) (#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 (+ (* 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))))) (taylor 0 x) (#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 (* 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 (* 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>) () ())) ())
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#s(alt (* 2 (sqrt (* x (+ y z)))) (taylor inf x) (#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 (* x (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))) (taylor inf x) (#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 (* 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))))) (taylor inf x) (#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 (* 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)))))) (taylor inf x) (#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 (* 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 (* 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 (* -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 (* -2 (* (sqrt (* x (+ (* -1 y) (* -1 z)))) (sqrt -1))) (taylor -inf x) (#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 (* x (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))))) (taylor -inf x) (#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 (* 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)))))))) (taylor -inf x) (#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 (* 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))))))))) (taylor -inf x) (#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 (* (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>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((+ (* x y) (* x z)) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))))
3.0ms	y	@	-inf	((+ (* x y) (* x z)) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))))
3.0ms	z	@	-inf	((+ (* x y) (* x z)) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))))
3.0ms	y	@	0	((+ (* x y) (* x z)) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))))
2.0ms	y	@	inf	((+ (* x y) (* x z)) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))))

simplify199.0ms (2%)

Memory

14.3MiB live, 171.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	501	3429
1	1684	3363
2	6316	3318
0	8092	3177

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
(* x y)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x y)
(+ (* x y) (* z (+ x y)))
(+ (* x y) (* z (+ x y)))
(+ (* x y) (* z (+ x y)))
(* 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)))))
(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)))))))))
(* x z)
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* z (+ x y))
(* z (+ x (+ y (/ (* x y) z))))
(* z (+ x (+ y (/ (* x y) z))))
(* z (+ x (+ y (/ (* x y) z))))
(* 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)))))))))
(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))))))))))
(* 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)))))
(* -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 (* 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)))))))))
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Outputs
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rewrite242.0ms (2.4%)

Memory

35.6MiB live, 134.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
0	18	36
1	55	36
2	435	36
3	6729	36
0	8531	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
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eval131.0ms (1.3%)

Memory: -36.3MiB live, 95.0MiB allocated
Compiler: Compiled 11 150 to 1 656 computations (85.1% saved)

prune35.0ms (0.4%)

Memory

17.3MiB live, 55.3MiB 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

81.3%

Counts

373 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.6%	(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
	43.6%	(.f64 #s(literal 2 binary64) (pow.f64 (.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 1/4 binary64)))
	19.4%	(.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (pow.f64 (.f64 (+.f64 z y) x) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (.f64 z y) (*.f64 (+.f64 z y) x)))))
	68.5%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (.f64 y x))))))
	43.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (.f64 y y) (/.f64 (.f64 x x) (.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) (.f64 y z))))
	46.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 y z)) x) (-.f64 y z)) (.f64 y z))))
	52.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x))))
▶	39.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))))
	33.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))))
	32.3%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z y))))
	3.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z x))))
▶	37.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
	32.7%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) (+.f64 z y)) x (.f64 (sqrt.f64 (.f64 z y)) #s(literal 2 binary64))))
	3.4%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) (+.f64 z x)) y (.f64 (sqrt.f64 (.f64 z x)) #s(literal 2 binary64))))
▶	38.2%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))) (+.f64 y x)) z (.f64 (sqrt.f64 (.f64 y x)) #s(literal 2 binary64))))
	32.6%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 z x) (*.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y))
▶	37.4%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))

Compiler

Compiled 578 to 426 computations (26.3% saved)

simplify36.0ms (0.4%)

Memory

-20.0MiB live, 24.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64))))
cost-diff	0	(fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64)))
cost-diff	0	(.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z)
cost-diff	0	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)))
cost-diff	0	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))) (+.f64 y x))
cost-diff	0	(fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))) (+.f64 y x)) z (.f64 (sqrt.f64 (.f64 y x)) #s(literal 2 binary64)))
cost-diff	0	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))) (+.f64 y x)) z (.f64 (sqrt.f64 (.f64 y x)) #s(literal 2 binary64))))
cost-diff	0	(*.f64 (+.f64 z y) x)
cost-diff	0	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))
cost-diff	0	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x))
cost-diff	0	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
cost-diff	0	(fma.f64 (+.f64 y x) z (*.f64 y x))
cost-diff	0	(pow.f64 (fma.f64 (+.f64 y x) z (*.f64 y x)) #s(literal 1/4 binary64))
cost-diff	0	(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
cost-diff	12288	(pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (*.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	413
0	75	397
1	122	385
2	194	383
3	315	383
4	386	383
0	386	383

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize217.0ms (2.2%)

Memory

26.1MiB live, 222.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	5.454968164423067	(.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z)
accuracy	9.066937835778424	(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64))))
accuracy	11.2264232593486	(sqrt.f64 (/.f64 (+.f64 y x) z))
accuracy	19.095662413645858	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))
accuracy	0.1369929875767862	(/.f64 #s(literal 1 binary64) (*.f64 y x))
accuracy	9.50293779731391	(sqrt.f64 (*.f64 y x))
accuracy	9.625477181394164	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)))
accuracy	13.27229092871477	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))) (+.f64 y x)) z (.f64 (sqrt.f64 (.f64 y x)) #s(literal 2 binary64))))
accuracy	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))))
accuracy	0.0234375	(*.f64 (+.f64 z y) x)
accuracy	10.669625489064211	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))
accuracy	11.890831324218626	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))
accuracy	0	(*.f64 y x)
accuracy	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
accuracy	10.669625489064211	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))
accuracy	13.114124813628974	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x))
accuracy	0	(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
accuracy	0.00390625	(fma.f64 (+.f64 y x) z (*.f64 y x))
accuracy	0.28353500976844204	(pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (*.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
accuracy	10.80775638635948	(pow.f64 (fma.f64 (+.f64 y x) z (*.f64 y x)) #s(literal 1/4 binary64))

Samples

67.0ms	124×	0	invalid
42.0ms	132×	0	valid

Compiler

Compiled 667 to 80 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-pow: 29.0ms (39.1% of total)

ival-mult: 20.0ms (26.9% of total)

ival-add: 8.0ms (10.8% of total)

ival-sqrt: 8.0ms (10.8% of total)

ival-div: 7.0ms (9.4% of total)

ival-pow2: 3.0ms (4% of total)

exact: 1.0ms (1.3% of total)

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

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

series146.0ms (1.5%)

Memory

-16.6MiB live, 95.4MiB allocated

Counts

23 → 768

Calls

Call 1

Inputs
#s(alt (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) (patch (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 y x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 y x))) (patch (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 y x)) (patch #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (+.f64 z y) x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 (+.f64 z y) x))) (patch (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 (+.f64 z y) x)) (patch #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 z y) x) (patch (.f64 (+.f64 z y) x) #<representation binary64>) () ())
#s(alt #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))) (+.f64 y x)) z (.f64 (sqrt.f64 (.f64 y x)) #s(literal 2 binary64)))) (patch #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))) (+.f64 y x)) z (.f64 (sqrt.f64 (.f64 y x)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))) (+.f64 y x)) z (.f64 (sqrt.f64 (.f64 y x)) #s(literal 2 binary64))) (patch (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))) (+.f64 y x)) z (.f64 (sqrt.f64 (.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))) (+.f64 y x)) (patch (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))) (+.f64 y x)) #<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 #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z)) (patch #s(approx ( 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z) (patch (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z) #<representation binary64>) () ())
#s(alt (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) (patch (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (patch (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 y x)) (patch (sqrt.f64 (.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>) () ())
#s(alt (sqrt.f64 (/.f64 (+.f64 y x) z)) (patch (sqrt.f64 (/.f64 (+.f64 y x) z)) #<representation binary64>) () ())

Outputs
#s(alt (sqrt (* x y)) (taylor 0 z) (#s(alt (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (* x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) (* z (+ x y))))) (taylor 0 z) (#s(alt (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #<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 (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #<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 (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt (* x y))) (taylor 0 z) (#s(alt (.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y)))) (taylor 0 z) (#s(alt (.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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))))) (taylor 0 z) (#s(alt (.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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))))) (taylor 0 z) (#s(alt (.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (* x y)) 1/4) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) (patch (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/4 (* (pow (* 1 (* x y)) 1/4) (* z (+ (/ 1 x) (/ 1 y))))) (pow (* 1 (* x y)) 1/4)) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) (patch (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (+ (* 1/4 (* (pow (* 1 (* x y)) 1/4) (+ (/ 1 x) (/ 1 y)))) (* (pow (* 1 (* x y)) 1/4) (* z (+ (* -1/8 (/ (pow (+ x y) 2) (* (pow x 2) (pow y 2)))) (* 1/32 (pow (+ (/ 1 x) (/ 1 y)) 2))))))) (pow (* 1 (* x y)) 1/4)) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) (patch (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (+ (* 1/4 (* (pow (* 1 (* x y)) 1/4) (+ (/ 1 x) (/ 1 y)))) (* z (+ (* (pow (* 1 (* x y)) 1/4) (* z (+ (* -1/32 (/ (* (pow (+ x y) 2) (+ (/ 1 x) (/ 1 y))) (* (pow x 2) (pow y 2)))) (+ (* 1/384 (pow (+ (/ 1 x) (/ 1 y)) 3)) (* 1/12 (/ (pow (+ x y) 3) (* (pow x 3) (pow y 3)))))))) (* (pow (* 1 (* x y)) 1/4) (+ (* -1/8 (/ (pow (+ x y) 2) (* (pow x 2) (pow y 2)))) (* 1/32 (pow (+ (/ 1 x) (/ 1 y)) 2)))))))) (pow (* 1 (* x y)) 1/4)) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) (patch (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (+ x y))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (+ x y))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (+ x y))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt (* x y))) (taylor 0 z) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 y x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y)))) (taylor 0 z) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 y x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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))))) (taylor 0 z) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 y x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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))))) (taylor 0 z) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 y x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (* x y)) (taylor 0 z) (#s(alt (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 y x))) (patch (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (* x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) (* z (+ x y))))) (taylor 0 z) (#s(alt (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 y x))) (patch (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))) #<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 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 y x))) (patch (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))) #<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 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 y x))) (patch (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 y x)) (patch #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (+ x y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 y x)) (patch #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (+ x y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 y x)) (patch #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (+ x y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 y x)) (patch #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt (* x y))) (taylor 0 z) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (+.f64 z y) x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y)))) (taylor 0 z) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (+.f64 z y) x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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))))) (taylor 0 z) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (+.f64 z y) x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (* z (+ (* -1 (* (sqrt (/ 1 (* x (pow z 3)))) (* y (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z) (patch (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* z (+ (* -1 (* (sqrt (/ 1 (* x (pow z 3)))) (* y (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))))) (/ (* z (+ (* 1/2 (* (sqrt (/ x (pow z 3))) (pow y 2))) (* (sqrt (/ x z)) y))) (pow x 2))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z) (patch (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 5) z))) (pow y 3))) (+ (* z (+ (* -1 (* (sqrt (/ 1 (* x (pow z 3)))) (* y (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))))) (/ (* z (+ (* 1/2 (* (sqrt (/ x (pow z 3))) (pow y 2))) (* (sqrt (/ x z)) y))) (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z) (patch (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (* z (+ (* -1/4 (* (sqrt (/ (pow x 3) z)) (/ (pow y 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (* x (pow z 3))) (* y (+ (* -1/4 (/ (* x (pow y 2)) (* (pow z 3) (pow (sqrt -1) 2)))) (/ (pow y 3) (pow z 3)))))))) x)) (* 1/2 (* (sqrt (/ x z)) (pow y 3)))) (pow x 3))) (+ (* z (+ (* -1 (* (sqrt (/ 1 (* x (pow z 3)))) (* y (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))))) (/ (* z (+ (* 1/2 (* (sqrt (/ x (pow z 3))) (pow y 2))) (* (sqrt (/ x z)) y))) (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z) (patch (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x (pow z 3)))) (* y (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) (patch (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x (pow z 3)))) (* y (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (pow y 2))) (+ (* 2 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* (pow x 3) z))) y)))))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) (patch (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x (pow z 3)))) (* y (pow (sqrt -1) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 5) (pow z 3)))) (pow y 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (pow y 2))) (+ (* 2 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* (pow x 3) z))) y))))))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) (patch (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x (pow z 3)))) (* y (pow (sqrt -1) 2)))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ (pow x 3) z)) (/ (pow y 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (* x (pow z 3))) (* y (+ (* -1/4 (/ (* x (pow y 2)) (* (pow z 3) (pow (sqrt -1) 2)))) (/ (pow y 3) (pow z 3))))))) x)) (* 1/2 (* (sqrt (/ x (pow z 3))) (pow y 3)))) (pow x 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (pow y 2))) (+ (* 2 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* (pow x 3) z))) y))))))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) (patch (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (* x (pow z 3)))) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (patch (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) y)) (* (sqrt (/ 1 (* x (pow z 3)))) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (patch (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) y)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow z 3)))) (pow y 2))) (* (sqrt (/ 1 (* x (pow z 3)))) (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (patch (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ x (pow z 3))) (pow y 2))) (* 1/2 (* (sqrt (/ (pow z 3) x)) (+ (* -1/4 (/ (* x (pow y 2)) (* (pow z 3) (pow (sqrt -1) 2)))) (/ (pow y 3) (pow z 3)))))) (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) y)) (* (sqrt (/ 1 (* x (pow z 3)))) (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (patch (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 y x)) (patch (sqrt.f64 (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 y x)) (patch (sqrt.f64 (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 y x)) (patch (sqrt.f64 (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 y x)) (patch (sqrt.f64 (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (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 y)) (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 y)) (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 y)) (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 (* (sqrt (/ x z)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 (+.f64 y x) z)) (patch (sqrt.f64 (/.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) z))) y)) (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))))) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 (+.f64 y x) z)) (patch (sqrt.f64 (/.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) z))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) z))) y)) (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 (+.f64 y x) z)) (patch (sqrt.f64 (/.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) z))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) z))) (/ (pow y 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) z))) y)) (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))))))) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 (+.f64 y x) z)) (patch (sqrt.f64 (/.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
21.0ms	z	@	-inf	((pow (pow (+ (* (+ y x) z) (* y x)) 1/4) 2) (* 2 (pow (pow (+ (* (+ y x) z) (* y x)) 1/4) 2)) (pow (+ (* (+ y x) z) (* y x)) 1/4) (+ (* (+ y x) z) (* y x)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (+ z y) x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* y x))) (+ y x)) z) (* (sqrt (* y x)) 2)) (* (sqrt (/ 1 (* y x))) (+ y x)) (sqrt (/ 1 (* y x))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (sqrt (* y x)) (/ 1 (* y x)) (sqrt (/ (+ y x) z)))
14.0ms	y	@	-inf	((pow (pow (+ (* (+ y x) z) (* y x)) 1/4) 2) (* 2 (pow (pow (+ (* (+ y x) z) (* y x)) 1/4) 2)) (pow (+ (* (+ y x) z) (* y x)) 1/4) (+ (* (+ y x) z) (* y x)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (+ z y) x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* y x))) (+ y x)) z) (* (sqrt (* y x)) 2)) (* (sqrt (/ 1 (* y x))) (+ y x)) (sqrt (/ 1 (* y x))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (sqrt (* y x)) (/ 1 (* y x)) (sqrt (/ (+ y x) z)))
9.0ms	x	@	-inf	((pow (pow (+ (* (+ y x) z) (* y x)) 1/4) 2) (* 2 (pow (pow (+ (* (+ y x) z) (* y x)) 1/4) 2)) (pow (+ (* (+ y x) z) (* y x)) 1/4) (+ (* (+ y x) z) (* y x)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (+ z y) x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* y x))) (+ y x)) z) (* (sqrt (* y x)) 2)) (* (sqrt (/ 1 (* y x))) (+ y x)) (sqrt (/ 1 (* y x))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (sqrt (* y x)) (/ 1 (* y x)) (sqrt (/ (+ y x) z)))
9.0ms	y	@	inf	((pow (pow (+ (* (+ y x) z) (* y x)) 1/4) 2) (* 2 (pow (pow (+ (* (+ y x) z) (* y x)) 1/4) 2)) (pow (+ (* (+ y x) z) (* y x)) 1/4) (+ (* (+ y x) z) (* y x)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (+ z y) x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* y x))) (+ y x)) z) (* (sqrt (* y x)) 2)) (* (sqrt (/ 1 (* y x))) (+ y x)) (sqrt (/ 1 (* y x))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (sqrt (* y x)) (/ 1 (* y x)) (sqrt (/ (+ y x) z)))
7.0ms	x	@	inf	((pow (pow (+ (* (+ y x) z) (* y x)) 1/4) 2) (* 2 (pow (pow (+ (* (+ y x) z) (* y x)) 1/4) 2)) (pow (+ (* (+ y x) z) (* y x)) 1/4) (+ (* (+ y x) z) (* y x)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (+ z y) x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* y x))) (+ y x)) z) (* (sqrt (* y x)) 2)) (* (sqrt (/ 1 (* y x))) (+ y x)) (sqrt (/ 1 (* y x))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (sqrt (* y x)) (/ 1 (* y x)) (sqrt (/ (+ y x) z)))

simplify319.0ms (3.2%)

Memory

-0.4MiB live, 242.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1529	21820
1	5252	20726
0	8305	19947

Stop Event

1×	iter limit
1×	node limit

Counts

768 → 768

Calls

Call 1

Inputs
(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)))))))))
(* 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)))))
(pow (* 1 (* x y)) 1/4)
(+ (* 1/4 (* (pow (* 1 (* x y)) 1/4) (* z (+ (/ 1 x) (/ 1 y))))) (pow (* 1 (* x y)) 1/4))
(+ (* z (+ (* 1/4 (* (pow (* 1 (* x y)) 1/4) (+ (/ 1 x) (/ 1 y)))) (* (pow (* 1 (* x y)) 1/4) (* z (+ (* -1/8 (/ (pow (+ x y) 2) (* (pow x 2) (pow y 2)))) (* 1/32 (pow (+ (/ 1 x) (/ 1 y)) 2))))))) (pow (* 1 (* x y)) 1/4))
(+ (* z (+ (* 1/4 (* (pow (* 1 (* x y)) 1/4) (+ (/ 1 x) (/ 1 y)))) (* z (+ (* (pow (* 1 (* x y)) 1/4) (* z (+ (* -1/32 (/ (* (pow (+ x y) 2) (+ (/ 1 x) (/ 1 y))) (* (pow x 2) (pow y 2)))) (+ (* 1/384 (pow (+ (/ 1 x) (/ 1 y)) 3)) (* 1/12 (/ (pow (+ x y) 3) (* (pow x 3) (pow y 3)))))))) (* (pow (* 1 (* x y)) 1/4) (+ (* -1/8 (/ (pow (+ x y) 2) (* (pow x 2) (pow y 2)))) (* 1/32 (pow (+ (/ 1 x) (/ 1 y)) 2)))))))) (pow (* 1 (* x y)) 1/4))
(* x y)
(+ (* x y) (* z (+ x y)))
(+ (* x y) (* z (+ x y)))
(+ (* x y) (* z (+ x y)))
(* 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 (* 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)))))))))
(* -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)))))))
(* -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 (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ 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)))))))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x y))) (* z (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ y x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x y))) (* z (pow (sqrt -1) 2)))) (+ (* -1 (* (sqrt (/ y (pow x 3))) (* z (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ y x)) (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x y))) (* z (pow (sqrt -1) 2)))) (+ (* -1 (* (sqrt (/ y (pow x 3))) (* z (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ y x)) (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x y))) (* z (pow (sqrt -1) 2)))) (+ (* -1 (* (sqrt (/ y (pow x 3))) (* z (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ y x)) (pow (sqrt -1) 2)))))))
(* (sqrt (/ x y)) (pow (sqrt -1) 2))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ y (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ y (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ y (pow x 3))) (pow (sqrt -1) 2))))))
(* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))
(* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))
(* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))
(* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))
(* -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)))))))))
(* -1 (* x (* z (+ (* -1 (* (sqrt (/ 1 (* x (pow z 3)))) (* y (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* z (+ (* -1 (* (sqrt (/ 1 (* x (pow z 3)))) (* y (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))))) (/ (* z (+ (* 1/2 (* (sqrt (/ x (pow z 3))) (pow y 2))) (* (sqrt (/ x z)) y))) (pow x 2)))))
(* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 5) z))) (pow y 3))) (+ (* z (+ (* -1 (* (sqrt (/ 1 (* x (pow z 3)))) (* y (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))))) (/ (* z (+ (* 1/2 (* (sqrt (/ x (pow z 3))) (pow y 2))) (* (sqrt (/ x z)) y))) (pow x 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (* z (+ (* -1/4 (* (sqrt (/ (pow x 3) z)) (/ (pow y 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (* x (pow z 3))) (* y (+ (* -1/4 (/ (* x (pow y 2)) (* (pow z 3) (pow (sqrt -1) 2)))) (/ (pow y 3) (pow z 3)))))))) x)) (* 1/2 (* (sqrt (/ x z)) (pow y 3)))) (pow x 3))) (+ (* z (+ (* -1 (* (sqrt (/ 1 (* x (pow z 3)))) (* y (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))))) (/ (* z (+ (* 1/2 (* (sqrt (/ x (pow z 3))) (pow y 2))) (* (sqrt (/ x z)) y))) (pow x 2))))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x (pow z 3)))) (* y (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x (pow z 3)))) (* y (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (pow y 2))) (+ (* 2 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* (pow x 3) z))) y))))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x (pow z 3)))) (* y (pow (sqrt -1) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 5) (pow z 3)))) (pow y 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (pow y 2))) (+ (* 2 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* (pow x 3) z))) y)))))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x (pow z 3)))) (* y (pow (sqrt -1) 2)))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ (pow x 3) z)) (/ (pow y 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (* x (pow z 3))) (* y (+ (* -1/4 (/ (* x (pow y 2)) (* (pow z 3) (pow (sqrt -1) 2)))) (/ (pow y 3) (pow z 3))))))) x)) (* 1/2 (* (sqrt (/ x (pow z 3))) (pow y 3)))) (pow x 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (pow y 2))) (+ (* 2 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* (pow x 3) z))) y)))))))
(* (sqrt (/ 1 (* x (pow z 3)))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) y)) (* (sqrt (/ 1 (* x (pow z 3)))) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) y)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow z 3)))) (pow y 2))) (* (sqrt (/ 1 (* x (pow z 3)))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ x (pow z 3))) (pow y 2))) (* 1/2 (* (sqrt (/ (pow z 3) x)) (+ (* -1/4 (/ (* x (pow y 2)) (* (pow z 3) (pow (sqrt -1) 2)))) (/ (pow y 3) (pow z 3)))))) (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) y)) (* (sqrt (/ 1 (* x (pow z 3)))) (pow (sqrt -1) 2))))
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(* -1 (* (sqrt (/ x z)) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) z))) y)) (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) z))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) z))) y)) (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) z))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) z))) (/ (pow y 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) z))) y)) (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2)))))))

Outputs
(sqrt (* x y))
(sqrt.f64 (*.f64 y x))
(+ (sqrt (* x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) (* z (+ x y)))))
(fma.f64 (.f64 (.f64 (+.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)))) #s(literal 1/2 binary64) (sqrt.f64 (.f64 y x)))
(+ (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 (fma.f64 (.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) #s(literal -1/8 binary64) (.f64 (.f64 (+.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)))) #s(literal 1/2 binary64))) z (sqrt.f64 (.f64 y x)))
(+ (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)))))))))
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(* 2 (sqrt (* x y)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y x)))
(+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y))))
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(pow (* 1 (* x y)) 1/4)
(pow.f64 (*.f64 y x) #s(literal 1/4 binary64))
(+ (* 1/4 (* (pow (* 1 (* x y)) 1/4) (* z (+ (/ 1 x) (/ 1 y))))) (pow (* 1 (* x y)) 1/4))
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(* x y)
(*.f64 y x)
(+ (* x y) (* z (+ x y)))
(fma.f64 (+.f64 z x) y (*.f64 z x))
(+ (* x y) (* z (+ x y)))
(fma.f64 (+.f64 z x) y (*.f64 z x))
(+ (* x y) (* z (+ x y)))
(fma.f64 (+.f64 z x) y (*.f64 z x))
(* 2 (sqrt (* x y)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y x)))
(+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y))))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y x)) (.f64 (.f64 (+.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)))))
(+ (* 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 (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) (.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) z) (.f64 (+.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))))) z (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y x))))
(+ (* 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)))))
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(sqrt (* x y))
(sqrt.f64 (*.f64 y x))
(+ (sqrt (* x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) (* z (+ x y)))))
(fma.f64 (.f64 (.f64 (+.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)))) #s(literal 1/2 binary64) (sqrt.f64 (.f64 y x)))
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(fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) #s(literal -1/8 binary64) (.f64 (.f64 (+.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)))) #s(literal 1/2 binary64))) z (sqrt.f64 (.f64 y x)))
(+ (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 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 5 binary64))))) (.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) z) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) z (.f64 (.f64 (+.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)))) #s(literal 1/2 binary64))) z (sqrt.f64 (.f64 y x)))
(* x y)
(*.f64 y x)
(+ (* x y) (* z (+ x y)))
(fma.f64 (+.f64 z x) y (*.f64 z x))
(+ (* x y) (* z (+ x y)))
(fma.f64 (+.f64 z x) y (*.f64 z x))
(+ (* x y) (* z (+ x y)))
(fma.f64 (+.f64 z x) y (*.f64 z x))
(* 2 (sqrt (* x y)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y x)))
(+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y))))
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(+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) y)) (* (sqrt (/ 1 (* x (pow z 3)))) (pow (sqrt -1) 2)))
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(/ 1 (* x y))
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(* -1 (* (sqrt (/ x z)) (pow (sqrt -1) 2)))
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(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) z))) y)) (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2)))))
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rewrite234.0ms (2.3%)

Memory

15.2MiB live, 163.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	333
0	75	313
1	274	288
2	1813	288
0	8118	288

Stop Event

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

Counts

23 → 598

Calls

Call 1

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

Outputs
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eval374.0ms (3.8%)

Memory: 15.8MiB live, 284.0MiB allocated
Compiler: Compiled 46 169 to 5 200 computations (88.7% saved)

prune179.0ms (1.8%)

Memory

1.9MiB live, 179.7MiB allocated

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	1 519	19	1 538
Fresh	7	5	12
Picked	3	2	5
Done	0	0	0
Total	1 529	26	1 555

Accuracy

97.4%

Counts

1 555 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.1%	(.f64 #s(literal 2 binary64) (pow.f64 (.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 x y)) #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 x y))) #s(literal 1/4 binary64)))
	46.5%	(.f64 #s(literal 2 binary64) (pow.f64 #s(approx (pow (+ ( (+ y x) z) (* y x)) 1/4) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (-.f64 (neg.f64 z) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal 2 binary64)))
▶	68.5%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (.f64 y x))))))
	30.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 z y)) x) (-.f64 z y)))))
	38.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (.f64 (+.f64 z y) x)) (/.f64 (-.f64 y z) (*.f64 x (-.f64 y z))))))))
✓	39.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))))
	33.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))))
	32.3%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z y))))
▶	3.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z x))))
✓	37.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
	32.6%	#s(approx (* 2 (pow (pow (+ (* (+ y x) z) (* y x)) 1/4) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 z x))) (.f64 z x) (*.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y))
	3.4%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) (+.f64 z x)) y (.f64 (sqrt.f64 (.f64 z x)) #s(literal 2 binary64))))
▶	41.5%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z)) #s(literal 2 binary64))) z))
	25.8%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 x y) (-.f64 y x))) (sqrt.f64 (*.f64 z (-.f64 y x)))) #s(literal 2 binary64))) z))
	41.3%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (fma.f64 (+.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))) x (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64)))) z))
	2.2%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (fma.f64 (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z))) y (*.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))) z))
	29.6%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64))) y)) z))
	1.6%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) x))) y (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)) #s(literal 2 binary64))) x)) z))
▶	2.4%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))) #s(literal 2 binary64))) z))
	42.2%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))
	41.5%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z))
	3.3%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* y x))) (+ y x)) z) (* (sqrt (* y x)) 2)) (*.f64 (sqrt.f64 (/.f64 x y)) z)))
	32.2%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (fma.f64 (.f64 (+.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))) z) x (.f64 (sqrt.f64 (*.f64 z y)) #s(literal 2 binary64)))))
	13.4%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (/.f64 (fma.f64 (sqrt.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 y x))) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 z (+.f64 y x))) (*.f64 y x))) z)))
	2.7%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (.f64 (.f64 (neg.f64 z) x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) x)))) (neg.f64 y) (.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)) #s(literal -1 binary64)) #s(literal 2 binary64))))))
▶	28.4%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (.f64 (.f64 z y) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64))))))

Compiler

Compiled 930 to 751 computations (19.2% saved)

simplify236.0ms (2.4%)

Memory

-20.1MiB live, 135.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64))))
cost-diff	0	(fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z)) #s(literal 2 binary64)))
cost-diff	0	(.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z)) #s(literal 2 binary64))) z)
cost-diff	0	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z)) #s(literal 2 binary64))) z))
cost-diff	0	(*.f64 z y)
cost-diff	0	(.f64 (.f64 z y) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64))))
cost-diff	0	#s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (.f64 (.f64 z y) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64)))))
cost-diff	0	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (.f64 (.f64 z y) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64))))))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))) #s(literal 2 binary64))) z)
cost-diff	0	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))) #s(literal 2 binary64))) z))
cost-diff	128	(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))) #s(literal 2 binary64))
cost-diff	192	(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))
cost-diff	0	(*.f64 z x)
cost-diff	0	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x))
cost-diff	0	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x)))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z x))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))))
cost-diff	320	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (.f64 y x))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	638
0	108	619
1	169	609
2	287	609
3	456	609
4	567	609
5	575	609
6	587	609
7	605	609
8	622	609
9	662	609
10	711	609
11	825	609
12	1145	609
13	2070	609
14	3472	609
15	5097	609
16	6450	609
17	7020	609
18	7532	609
19	7775	609
20	7841	609
0	8007	604

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

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

localize248.0ms (2.5%)

Memory

23.7MiB live, 304.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.140625	(/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z))
accuracy	0.7415021447939845	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))
accuracy	1.6967666514483821	(fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z)) #s(literal 2 binary64)))
accuracy	6.552895651008637	(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64))))
accuracy	0.7760057396297909	#s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (.f64 (.f64 z y) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64)))))
accuracy	6.552895646551372	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y)))
accuracy	9.156134528670744	(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))
accuracy	9.766644395490227	(.f64 (.f64 z y) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64))))
accuracy	0	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))) #s(literal 2 binary64))) z))
accuracy	0.10546875	(.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))) #s(literal 2 binary64))) z)
accuracy	2.7343894629305945	(sqrt.f64 (/.f64 (+.f64 y x) z))
accuracy	29.070783786204835	#s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))) #s(literal 2 binary64)))
accuracy	0	(*.f64 z x)
accuracy	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z x))))
accuracy	9.71677259998305	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x)))
accuracy	27.438899327816863	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x))
accuracy	0.1171875	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))))
accuracy	0.4487598930882655	(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))
accuracy	0.9999889904222409	(fma.f64 (+.f64 y x) z (*.f64 y x))
accuracy	9.160051282229142	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x))))

Samples

143.0ms	119×	0	valid
56.0ms	137×	0	invalid

Compiler

Compiled 924 to 104 computations (88.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 168.0ms

ival-sqrt: 110.0ms (65.5% of total)

ival-mult: 30.0ms (17.9% of total)

ival-div: 14.0ms (8.3% of total)

ival-add: 9.0ms (5.4% of total)

ival-pow: 4.0ms (2.4% of total)

exact: 1.0ms (0.6% of total)

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

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

series319.0ms (3.2%)

Memory

-9.3MiB live, 189.8MiB allocated

Counts

27 → 924

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

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

Calls

9 calls:

Time	Variable		Point	Expression
59.0ms	x	@	inf	((* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x))))) (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))) (/ 1 (+ (* (+ y x) z) (* y x))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* z x) (* -1 (sqrt (/ (+ y x) z))) (* (* -1 (sqrt (/ (+ y x) z))) 2) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (* (* z y) (+ (* (sqrt (/ 1 (* (pow z 3) y))) x) (* (sqrt (/ (/ 1 y) z)) 2))) (* z y) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (/ (sqrt (+ x y)) (sqrt z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (/ (sqrt (+ x y)) (sqrt z)) 2)) (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (+ (* (+ y x) z) (* y x)) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (sqrt (/ (+ y x) z)) (sqrt (/ (/ 1 y) z)) (sqrt (/ 1 (* (pow z 3) y))) (/ (/ 1 (+ y x)) (pow z 3)) (/ (sqrt (+ x y)) (sqrt z)))
40.0ms	z	@	0	((* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x))))) (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))) (/ 1 (+ (* (+ y x) z) (* y x))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* z x) (* -1 (sqrt (/ (+ y x) z))) (* (* -1 (sqrt (/ (+ y x) z))) 2) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (* (* z y) (+ (* (sqrt (/ 1 (* (pow z 3) y))) x) (* (sqrt (/ (/ 1 y) z)) 2))) (* z y) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (/ (sqrt (+ x y)) (sqrt z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (/ (sqrt (+ x y)) (sqrt z)) 2)) (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (+ (* (+ y x) z) (* y x)) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (sqrt (/ (+ y x) z)) (sqrt (/ (/ 1 y) z)) (sqrt (/ 1 (* (pow z 3) y))) (/ (/ 1 (+ y x)) (pow z 3)) (/ (sqrt (+ x y)) (sqrt z)))
26.0ms	y	@	0	((* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x))))) (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))) (/ 1 (+ (* (+ y x) z) (* y x))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* z x) (* -1 (sqrt (/ (+ y x) z))) (* (* -1 (sqrt (/ (+ y x) z))) 2) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (* (* z y) (+ (* (sqrt (/ 1 (* (pow z 3) y))) x) (* (sqrt (/ (/ 1 y) z)) 2))) (* z y) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (/ (sqrt (+ x y)) (sqrt z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (/ (sqrt (+ x y)) (sqrt z)) 2)) (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (+ (* (+ y x) z) (* y x)) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (sqrt (/ (+ y x) z)) (sqrt (/ (/ 1 y) z)) (sqrt (/ 1 (* (pow z 3) y))) (/ (/ 1 (+ y x)) (pow z 3)) (/ (sqrt (+ x y)) (sqrt z)))
16.0ms	y	@	inf	((* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x))))) (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))) (/ 1 (+ (* (+ y x) z) (* y x))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* z x) (* -1 (sqrt (/ (+ y x) z))) (* (* -1 (sqrt (/ (+ y x) z))) 2) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (* (* z y) (+ (* (sqrt (/ 1 (* (pow z 3) y))) x) (* (sqrt (/ (/ 1 y) z)) 2))) (* z y) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (/ (sqrt (+ x y)) (sqrt z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (/ (sqrt (+ x y)) (sqrt z)) 2)) (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (+ (* (+ y x) z) (* y x)) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (sqrt (/ (+ y x) z)) (sqrt (/ (/ 1 y) z)) (sqrt (/ 1 (* (pow z 3) y))) (/ (/ 1 (+ y x)) (pow z 3)) (/ (sqrt (+ x y)) (sqrt z)))
13.0ms	z	@	-inf	((* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x))))) (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))) (/ 1 (+ (* (+ y x) z) (* y x))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* z x) (* -1 (sqrt (/ (+ y x) z))) (* (* -1 (sqrt (/ (+ y x) z))) 2) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (* (* z y) (+ (* (sqrt (/ 1 (* (pow z 3) y))) x) (* (sqrt (/ (/ 1 y) z)) 2))) (* z y) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (/ (sqrt (+ x y)) (sqrt z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (/ (sqrt (+ x y)) (sqrt z)) 2)) (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (+ (* (+ y x) z) (* y x)) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (sqrt (/ (+ y x) z)) (sqrt (/ (/ 1 y) z)) (sqrt (/ 1 (* (pow z 3) y))) (/ (/ 1 (+ y x)) (pow z 3)) (/ (sqrt (+ x y)) (sqrt z)))

simplify403.0ms (4%)

Memory

13.3MiB live, 367.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1882	28735
1	6484	27269
0	8314	26293

Stop Event

1×	iter limit
1×	node limit

Counts

924 → 924

Calls

Call 1

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

Outputs
(* 2 (sqrt (* x y)))
(.f64 (sqrt.f64 (.f64 y x)) #s(literal 2 binary64))
(+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y))))
(fma.f64 (.f64 (+.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))) (.f64 (sqrt.f64 (.f64 y x)) #s(literal 2 binary64)))
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(* -1 (* (sqrt (/ x z)) (pow (sqrt -1) 2)))
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(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) z))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) z))) y)) (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))))))
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rewrite425.0ms (4.3%)

Memory

-14.8MiB live, 264.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	68	518
0	108	490
1	360	445
2	2126	441
0	8803	441

Stop Event

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

Counts

27 → 784

Calls

Call 1

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

Outputs
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eval435.0ms (4.4%)

Memory: -73.4MiB live, 537.7MiB allocated
Compiler: Compiled 56 657 to 7 293 computations (87.1% saved)

prune129.0ms (1.3%)

Memory

-6.1MiB live, 240.6MiB allocated

Pruning

35 alts after pruning (32 fresh and 3 done)

	Pruned	Kept	Total
New	1 687	21	1 708
Fresh	8	11	19
Picked	4	1	5
Done	0	2	2
Total	1 699	35	1 734

Accuracy

97.4%

Counts

1 734 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.9%	(.f64 #s(literal 2 binary64) (pow.f64 (.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 z x)) #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z x))) #s(literal 1/4 binary64)))
▶	24.1%	(.f64 #s(literal 2 binary64) (pow.f64 (.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 x y)) #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 x y))) #s(literal 1/4 binary64)))
	46.5%	(.f64 #s(literal 2 binary64) (pow.f64 #s(approx (pow (+ ( (+ y x) z) (* y x)) 1/4) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (-.f64 (neg.f64 z) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal 2 binary64)))
▶	68.4%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 z (/.f64 #s(literal -1 binary64) y)) (.f64 (+.f64 z y) x))))))
	33.3%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 (+.f64 y x) z))))))
▶	3.3%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z x))))))
	37.2%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 y x))))))
	34.8%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( (+ y x) z) (* y x))) (/.f64 (fma.f64 (neg.f64 y) (/.f64 z (*.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 z y))) x)))))
	30.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 z y)) x) (-.f64 z y)))))
	38.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (.f64 (+.f64 z y) x)) (/.f64 (-.f64 y z) (*.f64 x (-.f64 y z))))))))
✓	39.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))))
	33.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))))
▶	32.3%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z y))))
✓	3.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z x))))
✓	37.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
	32.6%	#s(approx (* 2 (pow (pow (+ (* (+ y x) z) (* y x)) 1/4) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 z x))) (.f64 z x) (*.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y))
	3.4%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) (+.f64 z x)) y (.f64 (sqrt.f64 (.f64 z x)) #s(literal 2 binary64))))
	41.5%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) z))) (.f64 y x) (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z)) #s(literal 2 binary64))) z))
	2.2%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (/ (sqrt (+ x y)) (sqrt z)) 2)) (fma.f64 (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)))) y (.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))) z))
	28.7%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (/ (sqrt (+ x y)) (sqrt z)) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) #s(literal 2 binary64))) y)) z))
	42.2%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (/ (sqrt (+ x y)) (sqrt z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))
	41.5%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (/ (sqrt (+ x y)) (sqrt z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z))
	41.3%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (fma.f64 (+.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))) x (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64)))) z))
	1.6%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) x))) y (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)) #s(literal 2 binary64))) x)) z))
	2.8%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 z (+.f64 x y)))) #s(literal 2 binary64))) z))
	2.5%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (/.f64 z (+.f64 x y)) #s(literal -1/4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) z))
	2.1%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (neg.f64 (+.f64 x y))) (sqrt.f64 (neg.f64 z)))) #s(literal 2 binary64))) z))
	2.4%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) z)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) z))
	2.4%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal -2 binary64))) z))
	2.0%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) #s(approx (* (* -1 (sqrt (/ (+ y x) z))) 2) (.f64 (fma.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) z))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) #s(literal -2 binary64))) y))) z))
	2.5%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) #s(approx (* (* -1 (sqrt (/ (+ y x) z))) 2) (*.f64 (sqrt.f64 (/.f64 x z)) #s(literal -2 binary64)))) z))
	3.3%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* y x))) (+ y x)) z) (* (sqrt (* y x)) 2)) (*.f64 (sqrt.f64 (/.f64 x y)) z)))
	32.2%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (/ (sqrt (+ x y)) (sqrt z)) 2)) z) (fma.f64 (.f64 (+.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y)))) z) x (.f64 (sqrt.f64 (.f64 z y)) #s(literal 2 binary64)))))
▶	2.6%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (/ (sqrt (+ x y)) (sqrt z)) 2)) z) (.f64 (neg.f64 (.f64 z x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) x)))) (neg.f64 y) (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) #s(literal 2 binary64))))))
	14.3%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) #s(approx (* (* z y) (+ (* (sqrt (/ 1 (* (pow z 3) y))) x) (* (sqrt (/ (/ 1 y) z)) 2))) (/.f64 (fma.f64 (sqrt.f64 (.f64 z y)) x (.f64 (sqrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y)) #s(literal 2 binary64))) z))))

Compiler

Compiled 1 157 to 959 computations (17.1% saved)

simplify182.0ms (1.8%)

Memory

-22.8MiB live, 174.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (/ (sqrt (+ x y)) (sqrt z)) 2)) z) (.f64 (neg.f64 (.f64 z x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) x)))) (neg.f64 y) (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) #s(literal 2 binary64)))))
cost-diff	0	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (/ (sqrt (+ x y)) (sqrt z)) 2)) z) (.f64 (neg.f64 (.f64 z x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) x)))) (neg.f64 y) (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) #s(literal 2 binary64))))))
cost-diff	128	(.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)))) #s(literal 2 binary64))
cost-diff	256	(fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) x)))) (neg.f64 y) (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) #s(literal 2 binary64)))
cost-diff	0	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 x y))
cost-diff	0	(.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 x y)) #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 x y)))
cost-diff	0	(pow.f64 (.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 x y)) #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 x y))) #s(literal 1/4 binary64))
cost-diff	0	(.f64 #s(literal 2 binary64) (pow.f64 (.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 x y)) #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 x y))) #s(literal 1/4 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z x)))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z x))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z x)))))
cost-diff	320	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z x))))))
cost-diff	0	(*.f64 z y)
cost-diff	0	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y))
cost-diff	0	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y)))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z y))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 z (/.f64 #s(literal -1 binary64) y)) (*.f64 (+.f64 z y) x)))))
cost-diff	320	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 z (/.f64 #s(literal -1 binary64) y)) (.f64 (+.f64 z y) x))))))
cost-diff	448	(fma.f64 #s(literal -1 binary64) (/.f64 z (/.f64 #s(literal -1 binary64) y)) (*.f64 (+.f64 z y) x))
cost-diff	960	(/.f64 z (/.f64 #s(literal -1 binary64) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	606
0	106	580
1	191	570
2	403	563
3	1203	552
4	2827	552
5	4314	552
6	6355	552
7	7133	552
8	7393	552
9	7505	552
10	7601	552
11	7639	552
0	8035	528

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

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

localize274.0ms (2.8%)

Memory

-12.5MiB live, 436.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.4398751356492718	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))
accuracy	1.4828496603911718	(.f64 (neg.f64 (.f64 z x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) x)))) (neg.f64 y) (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) #s(literal 2 binary64))))
accuracy	4.468248134563643	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) x)))
accuracy	12.860934646534014	#s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (/ (sqrt (+ x y)) (sqrt z)) 2)) z) (.f64 (neg.f64 (.f64 z x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) x)))) (neg.f64 y) (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) #s(literal 2 binary64)))))
accuracy	0	(.f64 #s(literal 2 binary64) (pow.f64 (.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 x y)) #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 x y))) #s(literal 1/4 binary64)))
accuracy	0.0625	(.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 x y)) #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 x y)))
accuracy	7.1242179952882845	(pow.f64 (.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 x y)) #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 x y))) #s(literal 1/4 binary64))
accuracy	12.54731331218005	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 x y))
accuracy	0.0703125	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z x)))))
accuracy	0.30556310703182127	(/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z x)))
accuracy	4.39703895197753	(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z x))))
accuracy	11.890843656077921	#s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z x))
accuracy	0	(*.f64 z y)
accuracy	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z y))))
accuracy	0.09803838450112787	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y))
accuracy	4.762788400936573	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y)))
accuracy	0.0546875	(/.f64 z (/.f64 #s(literal -1 binary64) y))
accuracy	0.0703125	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 z (/.f64 #s(literal -1 binary64) y)) (*.f64 (+.f64 z y) x)))))
accuracy	0.30556310703182127	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 z (/.f64 #s(literal -1 binary64) y)) (*.f64 (+.f64 z y) x)))
accuracy	4.39703895197753	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 z (/.f64 #s(literal -1 binary64) y)) (*.f64 (+.f64 z y) x))))

Samples

99.0ms	201×	0	invalid
36.0ms	55×	0	valid

Compiler

Compiled 859 to 112 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-mult: 49.0ms (45.7% of total)

ival-div: 19.0ms (17.7% of total)

ival-sqrt: 13.0ms (12.1% of total)

ival-pow: 11.0ms (10.3% of total)

ival-add: 10.0ms (9.3% of total)

ival-neg: 4.0ms (3.7% of total)

exact: 1.0ms (0.9% of total)

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

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

series324.0ms (3.3%)

Memory

31.6MiB live, 585.5MiB allocated

Counts

26 → 876

Calls

Call 1

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

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

9 calls:

Time	Variable		Point	Expression
69.0ms	z	@	0	((/ z (/ -1 y)) (+ (* -1 (/ z (/ -1 y))) (* (+ z y) x)) (* 2 (/ 1 (sqrt (/ 1 (+ (* -1 (/ z (/ -1 y))) (* (+ z y) x)))))) (/ 1 (sqrt (/ 1 (+ (* -1 (/ z (/ -1 y))) (* (+ z y) x))))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* z y) (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x))))) (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))) (/ 1 (+ (* (+ y x) z) (* y x))) (* 2 (pow (* (+ (+ (* x y) (* x z)) (* y z)) (+ (+ (* x y) (* x z)) (* y z))) 1/4)) (pow (* (+ (+ (* x y) (* x z)) (* y z)) (+ (+ (* x y) (* x z)) (* y z))) 1/4) (* (+ (+ (* x y) (* x z)) (* y z)) (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (+ (* (neg (sqrt (/ 1 (* (pow z 3) x)))) (neg y)) (* (neg (sqrt (/ 1 (* z x)))) 2)) (* (neg (sqrt (/ 1 (* z x)))) 2) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (/ (sqrt (+ x y)) (sqrt z)) 2)) z) (sqrt (/ 1 (+ (* -1 (/ z (/ -1 y))) (* (+ z y) x)))) (/ 1 (+ (* -1 (/ z (/ -1 y))) (* (+ z y) x))) (+ (* (+ y x) z) (* y x)) (sqrt (/ 1 (* (pow z 3) x))) (* (neg (* z x)) (+ (* (neg (sqrt (/ 1 (* (pow z 3) x)))) (neg y)) (* (neg (sqrt (/ 1 (* z x)))) 2))) (sqrt (/ 1 (* z x))))
56.0ms	x	@	-inf	((/ z (/ -1 y)) (+ (* -1 (/ z (/ -1 y))) (* (+ z y) x)) (* 2 (/ 1 (sqrt (/ 1 (+ (* -1 (/ z (/ -1 y))) (* (+ z y) x)))))) (/ 1 (sqrt (/ 1 (+ (* -1 (/ z (/ -1 y))) (* (+ z y) x))))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* z y) (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x))))) (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))) (/ 1 (+ (* (+ y x) z) (* y x))) (* 2 (pow (* (+ (+ (* x y) (* x z)) (* y z)) (+ (+ (* x y) (* x z)) (* y z))) 1/4)) (pow (* (+ (+ (* x y) (* x z)) (* y z)) (+ (+ (* x y) (* x z)) (* y z))) 1/4) (* (+ (+ (* x y) (* x z)) (* y z)) (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (+ (* (neg (sqrt (/ 1 (* (pow z 3) x)))) (neg y)) (* (neg (sqrt (/ 1 (* z x)))) 2)) (* (neg (sqrt (/ 1 (* z x)))) 2) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (/ (sqrt (+ x y)) (sqrt z)) 2)) z) (sqrt (/ 1 (+ (* -1 (/ z (/ -1 y))) (* (+ z y) x)))) (/ 1 (+ (* -1 (/ z (/ -1 y))) (* (+ z y) x))) (+ (* (+ y x) z) (* y x)) (sqrt (/ 1 (* (pow z 3) x))) (* (neg (* z x)) (+ (* (neg (sqrt (/ 1 (* (pow z 3) x)))) (neg y)) (* (neg (sqrt (/ 1 (* z x)))) 2))) (sqrt (/ 1 (* z x))))
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simplify270.0ms (2.7%)

Memory

-3.8MiB live, 423.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1557	25731
1	5329	24889
0	8633	24042

Stop Event

1×	iter limit
1×	node limit

Counts

876 → 876

Calls

Call 1

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

rewrite241.0ms (2.4%)

Memory

-8.3MiB live, 318.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	521
0	106	457
1	414	403
2	2728	401
0	8248	382

Stop Event

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

Counts

26 → 687

Calls

Call 1

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

Outputs
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eval261.0ms (2.6%)

Memory: 12.1MiB live, 478.8MiB allocated
Compiler: Compiled 52 376 to 6 408 computations (87.8% saved)

prune126.0ms (1.3%)

Memory

-0.2MiB live, 195.4MiB allocated

Pruning

31 alts after pruning (26 fresh and 5 done)

	Pruned	Kept	Total
New	1 593	9	1 602
Fresh	10	17	27
Picked	3	2	5
Done	0	3	3
Total	1 606	31	1 637

Accuracy

97.4%

Counts

1 637 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.9%	(.f64 #s(literal 2 binary64) (pow.f64 (.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 z x)) #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z x))) #s(literal 1/4 binary64)))
✓	24.1%	(.f64 #s(literal 2 binary64) (pow.f64 (.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 x y)) #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 x y))) #s(literal 1/4 binary64)))
	46.5%	(.f64 #s(literal 2 binary64) (pow.f64 #s(approx (pow (+ ( (+ y x) z) (* y x)) 1/4) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (-.f64 (neg.f64 z) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal 2 binary64)))
	14.8%	(.f64 #s(literal 2 binary64) (pow.f64 #s(approx ( (+ (+ (* x y) (* x z)) (* y z)) (+ (+ (* x y) (* x z)) (* y z))) (fma.f64 (.f64 #s(literal 2 binary64) x) (.f64 (.f64 (+.f64 z y) z) y) (.f64 (.f64 z z) (.f64 y y)))) #s(literal 1/4 binary64)))
	4.0%	(.f64 #s(literal 2 binary64) (pow.f64 #s(approx ( (+ (+ (* x y) (* x z)) (* y z)) (+ (+ (* x y) (* x z)) (* y z))) (fma.f64 (.f64 #s(literal 2 binary64) x) (.f64 (.f64 (+.f64 x z) z) y) (.f64 (.f64 x z) (.f64 x z)))) #s(literal 1/4 binary64)))
	5.9%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (pow.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 x z)) #s(literal -1 binary64)) (pow.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 x z)) #s(literal -1 binary64))) #s(literal 1/4 binary64))))
	33.3%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 (+.f64 y x) z))))))
	37.2%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 y x))))))
	5.9%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 (.f64 (pow.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 x z)) #s(literal -1 binary64)) (pow.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 x z)) #s(literal -1 binary64)))))))
	34.8%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( (+ y x) z) (* y x))) (/.f64 (fma.f64 (neg.f64 y) (/.f64 z (*.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 z y))) x)))))
	32.9%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( (+ y x) z) (* y x))) (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))
	30.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 z y)) x) (-.f64 z y)))))
	38.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (.f64 (+.f64 z y) x)) (/.f64 (-.f64 y z) (*.f64 x (-.f64 y z))))))))
✓	39.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))))
	33.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))))
✓	32.3%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z y))))
✓	3.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z x))))
✓	37.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
	32.6%	#s(approx (* 2 (pow (pow (+ (* (+ y x) z) (* y x)) 1/4) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 z x))) (.f64 z x) (*.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y))
	3.4%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) (+.f64 z x)) y (.f64 (sqrt.f64 (.f64 z x)) #s(literal 2 binary64))))
	41.5%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) z))) (.f64 y x) (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z)) #s(literal 2 binary64))) z))
	2.2%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (/ (sqrt (+ x y)) (sqrt z)) 2)) (fma.f64 (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)))) y (.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))) z))
	42.2%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (/ (sqrt (+ x y)) (sqrt z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))
	41.5%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (/ (sqrt (+ x y)) (sqrt z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z))
	41.3%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (fma.f64 (+.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))) x (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64)))) z))
	2.0%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) #s(approx (* (* -1 (sqrt (/ (+ y x) z))) 2) (.f64 (fma.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) z))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) #s(literal -2 binary64))) y))) z))
	3.3%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* y x))) (+ y x)) z) (* (sqrt (* y x)) 2)) (*.f64 (sqrt.f64 (/.f64 x y)) z)))
	2.6%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (/ (sqrt (+ x y)) (sqrt z)) 2)) z) (.f64 (neg.f64 (.f64 z x)) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (.f64 (neg.f64 x) (pow.f64 z #s(literal 3 binary64))))))) (neg.f64 y) (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) #s(literal 2 binary64))))))
	2.6%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (/ (sqrt (+ x y)) (sqrt z)) 2)) z) (.f64 (neg.f64 (.f64 z x)) (fma.f64 (neg.f64 (exp.f64 (.f64 (log.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) x)) #s(literal -1/2 binary64)))) (neg.f64 y) (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)))) #s(literal 2 binary64))))))
	2.3%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (/ (sqrt (+ x y)) (sqrt z)) 2)) z) (.f64 (neg.f64 (.f64 z x)) #s(approx (+ (* (neg (sqrt (/ 1 (* (pow z 3) x)))) (neg y)) (* (neg (sqrt (/ 1 (* z x)))) 2)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) x))) y)))))
	2.6%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (/ (sqrt (+ x y)) (sqrt z)) 2)) z) #s(approx (* (neg (* z x)) (+ (* (neg (sqrt (/ 1 (* (pow z 3) x)))) (neg y)) (* (neg (sqrt (/ 1 (* z x)))) 2))) (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 x z))))))

Compiler

Compiled 1 798 to 889 computations (50.6% saved)

regimes132.0ms (1.3%)

Memory

15.0MiB live, 210.0MiB allocated

Counts

67 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

28.0ms	y
21.0ms	z
20.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
20.0ms	x
20.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))

Results

Accuracy	Segments	Branch
85.1%	3	`x`
93.4%	3	`y`
87.5%	3	`z`
84.2%	3	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
84.2%	3	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
84.2%	3	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`

Compiler

Compiled 40 to 37 computations (7.5% saved)

regimes67.0ms (0.7%)

Memory

14.6MiB live, 129.0MiB allocated

Counts

66 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

22.0ms	y
21.0ms	z
19.0ms	x

Results

Accuracy	Segments	Branch
75.5%	2	`x`
80.7%	2	`z`
83.1%	2	`y`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes20.0ms (0.2%)

Memory

6.2MiB live, 44.8MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

6.0ms	(+.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)))
4.0ms	y
4.0ms	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))

Results

Accuracy	Segments	Branch
61.4%	5	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
61.4%	5	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
61.4%	5	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
83.2%	3	`y`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes5.0ms (0%)

Memory

11.5MiB live, 11.6MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
82.4%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes23.0ms (0.2%)

Memory

-48.6MiB live, 18.7MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

16.0ms	y
3.0ms	z
3.0ms	x

Results

Accuracy	Segments	Branch
67.1%	2	`x`
66.6%	2	`z`
68.9%	2	`y`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes3.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
67.7%	2	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes4.0ms (0%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
65.5%	2	`x`
67.1%	2	`y`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes24.0ms (0.2%)

Memory

-15.6MiB live, 23.8MiB allocated

Accuracy

Total -22.0b remaining (-55.1%)

Threshold costs -22b (-55.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

6 calls:

16.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
2.0ms	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
2.0ms	z
2.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
2.0ms	y

Results

Accuracy	Segments	Branch
37.5%	1	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
37.5%	1	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
37.5%	1	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
37.5%	1	`x`
37.5%	1	`z`
37.5%	1	`y`

Compiler

Compiled 40 to 37 computations (7.5% saved)

bsearch42.0ms (0.4%)

Memory

18.5MiB live, 93.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	11.505723705110249	15.057735411940003
25.0ms	-3.5381729601875567e+37	-1.878644958811411e+36

Samples

12.0ms	170×	0	invalid
11.0ms	160×	0	valid

Compiler

Compiled 319 to 299 computations (6.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 8.0ms (58.7% of total)

ival-add: 3.0ms (22% of total)

ival-sqrt: 2.0ms (14.7% 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

4.0MiB live, 4.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	11.505723705110249	15.057735411940003

Compiler

Compiled 95 to 89 computations (6.3% saved)

bsearch46.0ms (0.5%)

Memory

-12.1MiB live, 105.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	11.505723705110249	15.057735411940003
42.0ms	-2.7715462508867776e-260	-4.776400537303902e-273

Samples

16.0ms	160×	0	valid
13.0ms	156×	0	invalid

Compiler

Compiled 260 to 283 computations (-8.8% saved)

Precisions

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

ival-mult: 13.0ms (69.7% of total)

ival-add: 3.0ms (16.1% of total)

ival-sqrt: 2.0ms (10.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	11.505723705110249	15.057735411940003
1.0ms	-2.7715462508867776e-260	-4.776400537303902e-273

Compiler

Compiled 254 to 280 computations (-10.2% saved)

bsearch34.0ms (0.3%)

Memory

-18.2MiB live, 66.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	-1.340808616949777e-257	-2.7715462508867776e-260

Samples

12.0ms	128×	0	valid
9.0ms	137×	0	invalid

Compiler

Compiled 161 to 177 computations (-9.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 10.0ms (71% of total)

ival-add: 2.0ms (14.2% of total)

ival-sqrt: 2.0ms (14.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch35.0ms (0.3%)

Memory

26.5MiB live, 65.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	-2.7715462508867776e-260	-4.776400537303902e-273

Samples

12.0ms	166×	0	invalid
10.0ms	144×	0	valid

Compiler

Compiled 177 to 207 computations (-16.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 8.0ms (58.5% of total)

ival-add: 3.0ms (21.9% of total)

ival-sqrt: 2.0ms (14.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch45.0ms (0.4%)

Memory

-1.9MiB live, 36.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
42.0ms	-2.7715462508867776e-260	-4.776400537303902e-273

Samples

7.0ms	96×	0	valid
6.0ms	86×	0	invalid

Compiler

Compiled 157 to 197 computations (-25.5% saved)

Precisions

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

ival-mult: 4.0ms (53.3% of total)

ival-add: 2.0ms (26.7% of total)

ival-sqrt: 1.0ms (13.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify74.0ms (0.7%)

Memory

-9.8MiB live, 72.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	473
1	153	473
2	200	473
3	258	473
4	296	473
5	304	473
6	324	473
7	531	473
8	3204	473
9	7053	473

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal -2060000000000000060823201524335247360 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 #s(approx (pow (+ ( (+ y x) z) (* y x)) 1/4) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (-.f64 (neg.f64 z) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal 2 binary64))) (if (<=.f64 y #s(literal 29/2 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))))
(if (<=.f64 y #s(literal 29/2 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z)))
(if (<=.f64 y #s(literal -5786280194268749/152270531428124985630521599810549817357441044649921992607311038393952323293225407851025235404406410300395389316115760440366549529143798344477781051504885209680176214061819891091731088367032088255512493648112787169901337467584294921027286931491702587700433418798504336673153571718623657984 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (+.f64 z y) x)))) (if (<=.f64 y #s(literal 29/2 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 (+.f64 y x) z)))) #s(approx ( 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))))
(if (<=.f64 y #s(literal -5786280194268749/152270531428124985630521599810549817357441044649921992607311038393952323293225407851025235404406410300395389316115760440366549529143798344477781051504885209680176214061819891091731088367032088255512493648112787169901337467584294921027286931491702587700433418798504336673153571718623657984 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (+.f64 z y) x)))) (if (<=.f64 y #s(literal 15 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 (+.f64 y x) z)))) #s(approx ( 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z))))
(if (<=.f64 y #s(literal -3877698763960779/138489241570027830339787760577155329299276713436413040296712132107088403511830081562061637127414005863461524601112396740396934118638271997477005289970188832449072118890235188784327954969769132963403984511490113773016980728775065400466052716630386010092873601750856629835792384 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (+.f64 z y) x)))) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z)))))
(if (<=.f64 y #s(literal -7616908286351531/276978483140055660679575521154310658598553426872826080593424264214176807023660163124123274254828011726923049202224793480793868237276543994954010579940377664898144237780470377568655909939538265926807969022980227546033961457550130800932105433260772020185747203501713259671584768 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 y x)))) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z)))))
(if (<=.f64 y #s(literal -5847188406839999/1218164251424999885044172798484398538859528357199375940858488307151618586345803262808201883235251282403163114528926083522932396233150386755822248412039081677441409712494559128733848706936256706044099949184902297359210699740674359368218295451933620701603467350388034693385228573748989263872 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 y x)))) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y)))))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))

Outputs
(if (<=.f64 y #s(literal -2060000000000000060823201524335247360 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 #s(approx (pow (+ ( (+ y x) z) (* y x)) 1/4) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (-.f64 (neg.f64 z) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal 2 binary64))) (if (<=.f64 y #s(literal 29/2 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))))
(if (<=.f64 y #s(literal -2060000000000000060823201524335247360 binary64)) (.f64 (pow.f64 #s(approx (pow (+ ( (+ y x) z) (* y x)) 1/4) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (-.f64 (neg.f64 z) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal 2 binary64)) #s(literal 2 binary64)) (if (<=.f64 y #s(literal 29/2 binary64)) (.f64 (sqrt.f64 (+.f64 (.f64 z y) (+.f64 (.f64 x z) (.f64 x y)))) #s(literal 2 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 2 binary64))) z))))
(if (<=.f64 y #s(literal 29/2 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z)))
(if (<=.f64 y #s(literal 29/2 binary64)) (.f64 (sqrt.f64 (+.f64 (.f64 z y) (+.f64 (.f64 x z) (.f64 x y)))) #s(literal 2 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 2 binary64))) z)))
(if (<=.f64 y #s(literal -5786280194268749/152270531428124985630521599810549817357441044649921992607311038393952323293225407851025235404406410300395389316115760440366549529143798344477781051504885209680176214061819891091731088367032088255512493648112787169901337467584294921027286931491702587700433418798504336673153571718623657984 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (+.f64 z y) x)))) (if (<=.f64 y #s(literal 29/2 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 (+.f64 y x) z)))) #s(approx ( 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))))
(if (<=.f64 y #s(literal -5786280194268749/152270531428124985630521599810549817357441044649921992607311038393952323293225407851025235404406410300395389316115760440366549529143798344477781051504885209680176214061819891091731088367032088255512493648112787169901337467584294921027286931491702587700433418798504336673153571718623657984 binary64)) (.f64 (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (+.f64 z y) x))) #s(literal 2 binary64)) (if (<=.f64 y #s(literal 29/2 binary64)) (.f64 (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 (+.f64 x y) z))) #s(literal 2 binary64)) #s(approx ( 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 2 binary64))) z))))
(if (<=.f64 y #s(literal -5786280194268749/152270531428124985630521599810549817357441044649921992607311038393952323293225407851025235404406410300395389316115760440366549529143798344477781051504885209680176214061819891091731088367032088255512493648112787169901337467584294921027286931491702587700433418798504336673153571718623657984 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (+.f64 z y) x)))) (if (<=.f64 y #s(literal 15 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 (+.f64 y x) z)))) #s(approx ( 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z))))
(if (<=.f64 y #s(literal -5786280194268749/152270531428124985630521599810549817357441044649921992607311038393952323293225407851025235404406410300395389316115760440366549529143798344477781051504885209680176214061819891091731088367032088255512493648112787169901337467584294921027286931491702587700433418798504336673153571718623657984 binary64)) (.f64 (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (+.f64 z y) x))) #s(literal 2 binary64)) (if (<=.f64 y #s(literal 15 binary64)) (.f64 (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 (+.f64 x y) z))) #s(literal 2 binary64)) #s(approx ( 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z))))
(if (<=.f64 y #s(literal -3877698763960779/138489241570027830339787760577155329299276713436413040296712132107088403511830081562061637127414005863461524601112396740396934118638271997477005289970188832449072118890235188784327954969769132963403984511490113773016980728775065400466052716630386010092873601750856629835792384 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (+.f64 z y) x)))) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z)))))
(if (<=.f64 y #s(literal -3877698763960779/138489241570027830339787760577155329299276713436413040296712132107088403511830081562061637127414005863461524601112396740396934118638271997477005289970188832449072118890235188784327954969769132963403984511490113773016980728775065400466052716630386010092873601750856629835792384 binary64)) (.f64 (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (+.f64 z y) x))) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)))
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(if (<=.f64 y #s(literal -5847188406839999/1218164251424999885044172798484398538859528357199375940858488307151618586345803262808201883235251282403163114528926083522932396233150386755822248412039081677441409712494559128733848706936256706044099949184902297359210699740674359368218295451933620701603467350388034693385228573748989263872 binary64)) (.f64 (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 x y))) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y))) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
(.f64 (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 x y))) #s(literal 2 binary64))

soundness672.0ms (6.7%)

Memory

1.4MiB live, 560.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
0	18	36
1	55	36
2	435	36
3	6729	36
0	8531	33
0	1529	21820
1	5252	20726
0	8305	19947
0	501	3429
1	1684	3363
2	6316	3318
0	8092	3177

Stop Event

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

Compiler

Compiled 348 to 217 computations (37.6% saved)

preprocess274.0ms (2.7%)

Memory: 8.6MiB live, 167.1MiB allocated
Compiler: Compiled 812 to 376 computations (53.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze274.0ms (2.8%)

sample1.9s (18.9%)

explain126.0ms (1.3%)

preprocess54.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize58.0ms (0.6%)

series70.0ms (0.7%)

simplify199.0ms (2%)

rewrite242.0ms (2.4%)

eval131.0ms (1.3%)

prune35.0ms (0.4%)

simplify36.0ms (0.4%)

localize217.0ms (2.2%)

series146.0ms (1.5%)

simplify319.0ms (3.2%)

rewrite234.0ms (2.3%)

eval374.0ms (3.8%)

prune179.0ms (1.8%)

simplify236.0ms (2.4%)

localize248.0ms (2.5%)

series319.0ms (3.2%)

simplify403.0ms (4%)

rewrite425.0ms (4.3%)

eval435.0ms (4.4%)

prune129.0ms (1.3%)

simplify182.0ms (1.8%)

localize274.0ms (2.8%)

series324.0ms (3.3%)

simplify270.0ms (2.7%)

rewrite241.0ms (2.4%)

eval261.0ms (2.6%)

prune126.0ms (1.3%)

regimes132.0ms (1.3%)

regimes67.0ms (0.7%)

regimes20.0ms (0.2%)

regimes5.0ms (0%)

regimes23.0ms (0.2%)

regimes3.0ms (0%)

regimes4.0ms (0%)

regimes24.0ms (0.2%)

bsearch42.0ms (0.4%)

bsearch1.0ms (0%)

bsearch46.0ms (0.5%)

bsearch2.0ms (0%)

bsearch34.0ms (0.3%)

bsearch35.0ms (0.3%)

bsearch45.0ms (0.4%)

simplify74.0ms (0.7%)

soundness672.0ms (6.7%)

preprocess274.0ms (2.7%)

end0.0ms (0%)

Profiling