Metrics for Data.Array.Repa.Algorithms.Pixel:doubleRmsOfRGB8 from repa-algorithms-3.4.0.1

analyze1.0ms (0%)

Memory

4.9MiB live, 4.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
100%	99.9%	0%	0.1%	0%	0%	0%	4

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample1.2s (12.4%)

Memory

6.3MiB live, 1 831.2MiB allocated

Samples

887.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 518.0ms

ival-mult: 213.0ms (41.1% of total)

ival-add: 172.0ms (33.2% of total)

ival-sqrt: 60.0ms (11.6% of total)

ival-div: 57.0ms (11% of total)

ival-true: 6.0ms (1.2% of total)

exact: 5.0ms (1% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

preprocess166.0ms (1.7%)

Memory

-115.0MiB live, 61.2MiB allocated

Algorithm

2×	egg-herbie

Rules

224×	`div-sub`
222×	`cancel-sign-sub`
220×	`sub-neg`
132×	`associate-/l*`
132×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	143
1	78	143
2	157	143
3	317	143
4	581	143
5	938	143
6	1272	143
7	1289	143
0	11	14
1	15	14
2	22	14
3	24	14
0	24	12

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3))

Outputs
(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3))
(sqrt.f64 (/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 3 binary64)))

Call 2

Inputs
(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3))
(sqrt (/ (+ (+ (* (neg x) (neg x)) (* y y)) (* z z)) 3))
(sqrt (/ (+ (+ (* x x) (* (neg y) (neg y))) (* z z)) 3))
(sqrt (/ (+ (+ (* x x) (* y y)) (* (neg z) (neg z))) 3))
(neg (sqrt (/ (+ (+ (* (neg x) (neg x)) (* y y)) (* z z)) 3)))
(neg (sqrt (/ (+ (+ (* x x) (* (neg y) (neg y))) (* z z)) 3)))
(neg (sqrt (/ (+ (+ (* x x) (* y y)) (* (neg z) (neg z))) 3)))
(sqrt (/ (+ (+ (* y y) (* x x)) (* z z)) 3))
(sqrt (/ (+ (+ (* z z) (* y y)) (* x x)) 3))
(sqrt (/ (+ (+ (* x x) (* z z)) (* y y)) 3))

Outputs
(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3))
(sqrt (* (+ (* x x) (+ (* y y) (* z z))) 1/3))
(sqrt (/ (+ (+ (* (neg x) (neg x)) (* y y)) (* z z)) 3))
(sqrt (* (+ (* x x) (+ (* y y) (* z z))) 1/3))
(sqrt (/ (+ (+ (* x x) (* (neg y) (neg y))) (* z z)) 3))
(sqrt (* (+ (* x x) (+ (* y y) (* z z))) 1/3))
(sqrt (/ (+ (+ (* x x) (* y y)) (* (neg z) (neg z))) 3))
(sqrt (* (+ (* x x) (+ (* y y) (* z z))) 1/3))
(neg (sqrt (/ (+ (+ (* (neg x) (neg x)) (* y y)) (* z z)) 3)))
(neg (sqrt (* (+ (* x x) (+ (* y y) (* z z))) 1/3)))
(neg (sqrt (/ (+ (+ (* x x) (* (neg y) (neg y))) (* z z)) 3)))
(neg (sqrt (* (+ (* x x) (+ (* y y) (* z z))) 1/3)))
(neg (sqrt (/ (+ (+ (* x x) (* y y)) (* (neg z) (neg z))) 3)))
(neg (sqrt (* (+ (* x x) (+ (* y y) (* z z))) 1/3)))
(sqrt (/ (+ (+ (* y y) (* x x)) (* z z)) 3))
(sqrt (* (+ (* x x) (+ (* y y) (* z z))) 1/3))
(sqrt (/ (+ (+ (* z z) (* y y)) (* x x)) 3))
(sqrt (* (+ (* x x) (+ (* y y) (* z z))) 1/3))
(sqrt (/ (+ (+ (* x x) (* z z)) (* y y)) 3))
(sqrt (* (+ (* x x) (+ (* y y) (* z z))) 1/3))

Symmetry

(abs x)

(abs y)

(abs z)

(sort x y z)

explain133.0ms (1.4%)

Memory

2.0MiB live, 367.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
159	-	-	`(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))`
0	-	-	`(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))`
0	-	-	`#s(literal 3 binary64)`
0	-	-	`z`
0	-	-	`(*.f64 x x)`
0	-	-	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
0	-	-	`(+.f64 (.f64 x x) (.f64 y y))`
0	-	-	`(*.f64 z z)`
0	-	-	`y`
0	-	-	`(*.f64 y y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))`	oflow-rescue	153	0
↳	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	overflow	153
↳	`(*.f64 y y)`	overflow	38
↳	`(*.f64 x x)`	overflow	6
↳	`(*.f64 z z)`	overflow	153
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	38
↳	`(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))`	overflow	153
`sqrt.f64`	`(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))`	uflow-rescue	6	0
↳	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	underflow	6
↳	`(*.f64 y y)`	underflow	35
↳	`(*.f64 x x)`	underflow	141
↳	`(*.f64 z z)`	underflow	6
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	35
↳	`(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))`	underflow	6

Confusion

	Predicted +	Predicted -
+	159	0
-	0	97

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	159	0	0
-	0	0	97

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	97
1	159

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

46.0ms

512×

valid

Compiler

Compiled 154 to 48 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 10.0ms (42.2% of total)

ival-add: 5.0ms (21.1% of total)

ival-sqrt: 5.0ms (21.1% of total)

ival-div: 3.0ms (12.6% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	42.5%	(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))

Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify38.0ms (0.4%)

Memory

-28.3MiB live, 9.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
✓	cost-diff	0	(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
✓	cost-diff	128	(+.f64 (.f64 x x) (.f64 y y))
✓	cost-diff	128	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))

Rules

24×	`+-lowering-+.f64`
24×	`+-lowering-+.f32`
18×	`accelerator-lowering-fma.f32`
18×	`accelerator-lowering-fma.f64`
10×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	58
1	15	58
2	22	58
3	24	58
0	24	51

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3))
(/ (+ (+ (* x x) (* y y)) (* z z)) 3)
(+ (+ (* x x) (* y y)) (* z z))
(+ (* x x) (* y y))
(* x x)
x
(* y y)
y
(* z z)
z
3

Outputs
(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3))
(sqrt.f64 (/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 3 binary64)))
(/ (+ (+ (* x x) (* y y)) (* z z)) 3)
(/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 3 binary64))
(+ (+ (* x x) (* y y)) (* z z))
(fma.f64 y y (fma.f64 x x (*.f64 z z)))
(+ (* x x) (* y y))
(fma.f64 x x (*.f64 y y))
(* x x)
(*.f64 x x)
x
(* y y)
(*.f64 y y)
y
(* z z)
(*.f64 z z)
z
3
#s(literal 3 binary64)

localize50.0ms (0.5%)

Memory

31.9MiB live, 70.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
✓	accuracy	100.0%	(+.f64 (.f64 x x) (.f64 y y))
✓	accuracy	99.8%	(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
✓	accuracy	42.5%	(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))

Samples

39.0ms

256×

valid

Compiler

Compiled 60 to 13 computations (78.3% saved)

Precisions

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

ival-mult: 5.0ms (47% of total)

ival-div: 2.0ms (18.8% of total)

ival-add: 2.0ms (18.8% of total)

ival-sqrt: 2.0ms (18.8% of total)

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

exact: 0.0ms (0% of total)

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

series150.0ms (1.6%)

Memory

-14.7MiB live, 25.8MiB allocated

Counts

4 → 132

Calls

Call 1

Inputs
#<alt (+ (+ (* x x) (* y y)) (* z z))>
#<alt (+ (* x x) (* y y))>
#<alt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3))>
#<alt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)>

Outputs
#<alt (+ (pow y 2) (pow z 2))>
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))>
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))>
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))>
#<alt (+ (pow x 2) (pow z 2))>
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))>
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))>
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))>
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))>
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2)))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2)))))>
#<alt (pow y 2)>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (pow x 2)>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (sqrt 1/3) (sqrt (+ (pow y 2) (pow z 2))))>
#<alt (+ (* 1/2 (* (* (pow x 2) (sqrt 1/3)) (sqrt (/ 1 (+ (pow y 2) (pow z 2)))))) (* (sqrt 1/3) (sqrt (+ (pow y 2) (pow z 2)))))>
#<alt (+ (* (sqrt 1/3) (sqrt (+ (pow y 2) (pow z 2)))) (* (pow x 2) (+ (* -1/8 (* (* (pow x 2) (sqrt 1/3)) (sqrt (/ 1 (pow (+ (pow y 2) (pow z 2)) 3))))) (* 1/2 (* (sqrt 1/3) (sqrt (/ 1 (+ (pow y 2) (pow z 2)))))))))>
#<alt (+ (* (sqrt 1/3) (sqrt (+ (pow y 2) (pow z 2)))) (* (pow x 2) (+ (* 1/2 (* (sqrt 1/3) (sqrt (/ 1 (+ (pow y 2) (pow z 2)))))) (* (pow x 2) (+ (* -1/8 (* (sqrt 1/3) (sqrt (/ 1 (pow (+ (pow y 2) (pow z 2)) 3))))) (* 1/16 (* (* (pow x 2) (sqrt 1/3)) (sqrt (/ 1 (pow (+ (pow y 2) (pow z 2)) 5))))))))))>
#<alt (* x (sqrt 1/3))>
#<alt (* x (+ (sqrt 1/3) (* 1/2 (/ (* (sqrt 1/3) (+ (pow y 2) (pow z 2))) (pow x 2)))))>
#<alt (* x (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow y 2) (pow z 2)) 2)) (pow x 4))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow y 2) (pow z 2))) (pow x 2))))))>
#<alt (* x (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow y 2) (pow z 2)) 2)) (pow x 4))) (+ (* 1/16 (/ (* (sqrt 1/3) (pow (+ (pow y 2) (pow z 2)) 3)) (pow x 6))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow y 2) (pow z 2))) (pow x 2)))))))>
#<alt (* -1 (* x (sqrt 1/3)))>
#<alt (* -1 (* x (+ (sqrt 1/3) (* 1/2 (/ (* (sqrt 1/3) (+ (pow y 2) (pow z 2))) (pow x 2))))))>
#<alt (* -1 (* x (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow y 2) (pow z 2)) 2)) (pow x 4))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow y 2) (pow z 2))) (pow x 2)))))))>
#<alt (* -1 (* x (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow y 2) (pow z 2)) 2)) (pow x 4))) (+ (* 1/16 (/ (* (sqrt 1/3) (pow (+ (pow y 2) (pow z 2)) 3)) (pow x 6))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow y 2) (pow z 2))) (pow x 2))))))))>
#<alt (* (sqrt 1/3) (sqrt (+ (pow x 2) (pow z 2))))>
#<alt (+ (* 1/2 (* (* (pow y 2) (sqrt 1/3)) (sqrt (/ 1 (+ (pow x 2) (pow z 2)))))) (* (sqrt 1/3) (sqrt (+ (pow x 2) (pow z 2)))))>
#<alt (+ (* (sqrt 1/3) (sqrt (+ (pow x 2) (pow z 2)))) (* (pow y 2) (+ (* -1/8 (* (* (pow y 2) (sqrt 1/3)) (sqrt (/ 1 (pow (+ (pow x 2) (pow z 2)) 3))))) (* 1/2 (* (sqrt 1/3) (sqrt (/ 1 (+ (pow x 2) (pow z 2)))))))))>
#<alt (+ (* (sqrt 1/3) (sqrt (+ (pow x 2) (pow z 2)))) (* (pow y 2) (+ (* 1/2 (* (sqrt 1/3) (sqrt (/ 1 (+ (pow x 2) (pow z 2)))))) (* (pow y 2) (+ (* -1/8 (* (sqrt 1/3) (sqrt (/ 1 (pow (+ (pow x 2) (pow z 2)) 3))))) (* 1/16 (* (* (pow y 2) (sqrt 1/3)) (sqrt (/ 1 (pow (+ (pow x 2) (pow z 2)) 5))))))))))>
#<alt (* y (sqrt 1/3))>
#<alt (* y (+ (sqrt 1/3) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) (pow y 2)))))>
#<alt (* y (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow z 2)) 2)) (pow y 4))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) (pow y 2))))))>
#<alt (* y (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow z 2)) 2)) (pow y 4))) (+ (* 1/16 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow z 2)) 3)) (pow y 6))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) (pow y 2)))))))>
#<alt (* -1 (* y (sqrt 1/3)))>
#<alt (* -1 (* y (+ (sqrt 1/3) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) (pow y 2))))))>
#<alt (* -1 (* y (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow z 2)) 2)) (pow y 4))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) (pow y 2)))))))>
#<alt (* -1 (* y (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow z 2)) 2)) (pow y 4))) (+ (* 1/16 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow z 2)) 3)) (pow y 6))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) (pow y 2))))))))>
#<alt (* (sqrt 1/3) (sqrt (+ (pow x 2) (pow y 2))))>
#<alt (+ (* 1/2 (* (* (pow z 2) (sqrt 1/3)) (sqrt (/ 1 (+ (pow x 2) (pow y 2)))))) (* (sqrt 1/3) (sqrt (+ (pow x 2) (pow y 2)))))>
#<alt (+ (* (sqrt 1/3) (sqrt (+ (pow x 2) (pow y 2)))) (* (pow z 2) (+ (* -1/8 (* (* (pow z 2) (sqrt 1/3)) (sqrt (/ 1 (pow (+ (pow x 2) (pow y 2)) 3))))) (* 1/2 (* (sqrt 1/3) (sqrt (/ 1 (+ (pow x 2) (pow y 2)))))))))>
#<alt (+ (* (sqrt 1/3) (sqrt (+ (pow x 2) (pow y 2)))) (* (pow z 2) (+ (* 1/2 (* (sqrt 1/3) (sqrt (/ 1 (+ (pow x 2) (pow y 2)))))) (* (pow z 2) (+ (* -1/8 (* (sqrt 1/3) (sqrt (/ 1 (pow (+ (pow x 2) (pow y 2)) 3))))) (* 1/16 (* (* (pow z 2) (sqrt 1/3)) (sqrt (/ 1 (pow (+ (pow x 2) (pow y 2)) 5))))))))))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (+ (sqrt 1/3) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow y 2))) (pow z 2)))))>
#<alt (* z (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow y 2)) 2)) (pow z 4))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow y 2))) (pow z 2))))))>
#<alt (* z (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow y 2)) 2)) (pow z 4))) (+ (* 1/16 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow y 2)) 3)) (pow z 6))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow y 2))) (pow z 2)))))))>
#<alt (* -1 (* z (sqrt 1/3)))>
#<alt (* -1 (* z (+ (sqrt 1/3) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow y 2))) (pow z 2))))))>
#<alt (* -1 (* z (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow y 2)) 2)) (pow z 4))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow y 2))) (pow z 2)))))))>
#<alt (* -1 (* z (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow y 2)) 2)) (pow z 4))) (+ (* 1/16 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow y 2)) 3)) (pow z 6))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow y 2))) (pow z 2))))))))>
#<alt (* 1/3 (+ (pow y 2) (pow z 2)))>
#<alt (+ (* 1/3 (+ (pow y 2) (pow z 2))) (* 1/3 (pow x 2)))>
#<alt (+ (* 1/3 (+ (pow y 2) (pow z 2))) (* 1/3 (pow x 2)))>
#<alt (+ (* 1/3 (+ (pow y 2) (pow z 2))) (* 1/3 (pow x 2)))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 1/3 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/3 (* 1/3 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/3 (* 1/3 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 1/3 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/3 (* 1/3 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/3 (* 1/3 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))>
#<alt (* 1/3 (+ (pow x 2) (pow z 2)))>
#<alt (+ (* 1/3 (+ (pow x 2) (pow z 2))) (* 1/3 (pow y 2)))>
#<alt (+ (* 1/3 (+ (pow x 2) (pow z 2))) (* 1/3 (pow y 2)))>
#<alt (+ (* 1/3 (+ (pow x 2) (pow z 2))) (* 1/3 (pow y 2)))>
#<alt (* 1/3 (pow y 2))>
#<alt (* (pow y 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))>
#<alt (* 1/3 (pow y 2))>
#<alt (* (pow y 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))>
#<alt (* 1/3 (+ (pow x 2) (pow y 2)))>
#<alt (+ (* 1/3 (+ (pow x 2) (pow y 2))) (* 1/3 (pow z 2)))>
#<alt (+ (* 1/3 (+ (pow x 2) (pow y 2))) (* 1/3 (pow z 2)))>
#<alt (+ (* 1/3 (+ (pow x 2) (pow y 2))) (* 1/3 (pow z 2)))>
#<alt (* 1/3 (pow z 2))>
#<alt (* (pow z 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))>
#<alt (* 1/3 (pow z 2))>
#<alt (* (pow z 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))>

Calls

33 calls:

Time	Variable		Point	Expression
139.0ms	x	@	-inf	(+ (+ (* x x) (* y y)) (* z z))
1.0ms	y	@	0	(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3))
1.0ms	x	@	0	(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3))
1.0ms	z	@	0	(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3))
1.0ms	z	@	inf	(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3))

rewrite1.2s (12.3%)

Memory

-10.2MiB live, 743.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 524×	`accelerator-lowering-fma.f32`
4 524×	`accelerator-lowering-fma.f64`
4 260×	`-lowering-.f32`
4 260×	`-lowering-.f64`
3 048×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	45
1	58	45
2	479	45
3	6610	45
0	8491	38

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 350

Calls

Call 1

Inputs
(+ (+ (* x x) (* y y)) (* z z))
(+ (* x x) (* y y))
(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3))
(/ (+ (+ (* x x) (* y y)) (* z z)) 3)

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

simplify426.0ms (4.4%)

Memory

35.4MiB live, 904.7MiB allocated

Algorithm

1×	egg-herbie

Rules

13 366×	`accelerator-lowering-fma.f32`
13 366×	`accelerator-lowering-fma.f64`
5 460×	`-lowering-.f32`
5 460×	`-lowering-.f64`
3 804×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	230	2442
1	673	2442
2	2272	2406
3	5706	2289
0	8198	1992

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
(+ (pow y 2) (pow z 2))
(+ (pow x 2) (+ (pow y 2) (pow z 2)))
(+ (pow x 2) (+ (pow y 2) (pow z 2)))
(+ (pow x 2) (+ (pow y 2) (pow z 2)))
(pow x 2)
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))
(+ (pow x 2) (pow z 2))
(+ (pow x 2) (+ (pow y 2) (pow z 2)))
(+ (pow x 2) (+ (pow y 2) (pow z 2)))
(+ (pow x 2) (+ (pow y 2) (pow z 2)))
(pow y 2)
(* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))
(* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))
(* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))
(pow y 2)
(* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))
(* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))
(* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (+ (pow y 2) (pow z 2)))
(+ (pow x 2) (+ (pow y 2) (pow z 2)))
(+ (pow x 2) (+ (pow y 2) (pow z 2)))
(pow z 2)
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2)))))
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2)))))
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2)))))
(pow z 2)
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2)))))
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2)))))
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2)))))
(pow y 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(pow x 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (sqrt 1/3) (sqrt (+ (pow y 2) (pow z 2))))
(+ (* 1/2 (* (* (pow x 2) (sqrt 1/3)) (sqrt (/ 1 (+ (pow y 2) (pow z 2)))))) (* (sqrt 1/3) (sqrt (+ (pow y 2) (pow z 2)))))
(+ (* (sqrt 1/3) (sqrt (+ (pow y 2) (pow z 2)))) (* (pow x 2) (+ (* -1/8 (* (* (pow x 2) (sqrt 1/3)) (sqrt (/ 1 (pow (+ (pow y 2) (pow z 2)) 3))))) (* 1/2 (* (sqrt 1/3) (sqrt (/ 1 (+ (pow y 2) (pow z 2)))))))))
(+ (* (sqrt 1/3) (sqrt (+ (pow y 2) (pow z 2)))) (* (pow x 2) (+ (* 1/2 (* (sqrt 1/3) (sqrt (/ 1 (+ (pow y 2) (pow z 2)))))) (* (pow x 2) (+ (* -1/8 (* (sqrt 1/3) (sqrt (/ 1 (pow (+ (pow y 2) (pow z 2)) 3))))) (* 1/16 (* (* (pow x 2) (sqrt 1/3)) (sqrt (/ 1 (pow (+ (pow y 2) (pow z 2)) 5))))))))))
(* x (sqrt 1/3))
(* x (+ (sqrt 1/3) (* 1/2 (/ (* (sqrt 1/3) (+ (pow y 2) (pow z 2))) (pow x 2)))))
(* x (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow y 2) (pow z 2)) 2)) (pow x 4))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow y 2) (pow z 2))) (pow x 2))))))
(* x (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow y 2) (pow z 2)) 2)) (pow x 4))) (+ (* 1/16 (/ (* (sqrt 1/3) (pow (+ (pow y 2) (pow z 2)) 3)) (pow x 6))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow y 2) (pow z 2))) (pow x 2)))))))
(* -1 (* x (sqrt 1/3)))
(* -1 (* x (+ (sqrt 1/3) (* 1/2 (/ (* (sqrt 1/3) (+ (pow y 2) (pow z 2))) (pow x 2))))))
(* -1 (* x (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow y 2) (pow z 2)) 2)) (pow x 4))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow y 2) (pow z 2))) (pow x 2)))))))
(* -1 (* x (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow y 2) (pow z 2)) 2)) (pow x 4))) (+ (* 1/16 (/ (* (sqrt 1/3) (pow (+ (pow y 2) (pow z 2)) 3)) (pow x 6))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow y 2) (pow z 2))) (pow x 2))))))))
(* (sqrt 1/3) (sqrt (+ (pow x 2) (pow z 2))))
(+ (* 1/2 (* (* (pow y 2) (sqrt 1/3)) (sqrt (/ 1 (+ (pow x 2) (pow z 2)))))) (* (sqrt 1/3) (sqrt (+ (pow x 2) (pow z 2)))))
(+ (* (sqrt 1/3) (sqrt (+ (pow x 2) (pow z 2)))) (* (pow y 2) (+ (* -1/8 (* (* (pow y 2) (sqrt 1/3)) (sqrt (/ 1 (pow (+ (pow x 2) (pow z 2)) 3))))) (* 1/2 (* (sqrt 1/3) (sqrt (/ 1 (+ (pow x 2) (pow z 2)))))))))
(+ (* (sqrt 1/3) (sqrt (+ (pow x 2) (pow z 2)))) (* (pow y 2) (+ (* 1/2 (* (sqrt 1/3) (sqrt (/ 1 (+ (pow x 2) (pow z 2)))))) (* (pow y 2) (+ (* -1/8 (* (sqrt 1/3) (sqrt (/ 1 (pow (+ (pow x 2) (pow z 2)) 3))))) (* 1/16 (* (* (pow y 2) (sqrt 1/3)) (sqrt (/ 1 (pow (+ (pow x 2) (pow z 2)) 5))))))))))
(* y (sqrt 1/3))
(* y (+ (sqrt 1/3) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) (pow y 2)))))
(* y (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow z 2)) 2)) (pow y 4))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) (pow y 2))))))
(* y (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow z 2)) 2)) (pow y 4))) (+ (* 1/16 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow z 2)) 3)) (pow y 6))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) (pow y 2)))))))
(* -1 (* y (sqrt 1/3)))
(* -1 (* y (+ (sqrt 1/3) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) (pow y 2))))))
(* -1 (* y (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow z 2)) 2)) (pow y 4))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) (pow y 2)))))))
(* -1 (* y (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow z 2)) 2)) (pow y 4))) (+ (* 1/16 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow z 2)) 3)) (pow y 6))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) (pow y 2))))))))
(* (sqrt 1/3) (sqrt (+ (pow x 2) (pow y 2))))
(+ (* 1/2 (* (* (pow z 2) (sqrt 1/3)) (sqrt (/ 1 (+ (pow x 2) (pow y 2)))))) (* (sqrt 1/3) (sqrt (+ (pow x 2) (pow y 2)))))
(+ (* (sqrt 1/3) (sqrt (+ (pow x 2) (pow y 2)))) (* (pow z 2) (+ (* -1/8 (* (* (pow z 2) (sqrt 1/3)) (sqrt (/ 1 (pow (+ (pow x 2) (pow y 2)) 3))))) (* 1/2 (* (sqrt 1/3) (sqrt (/ 1 (+ (pow x 2) (pow y 2)))))))))
(+ (* (sqrt 1/3) (sqrt (+ (pow x 2) (pow y 2)))) (* (pow z 2) (+ (* 1/2 (* (sqrt 1/3) (sqrt (/ 1 (+ (pow x 2) (pow y 2)))))) (* (pow z 2) (+ (* -1/8 (* (sqrt 1/3) (sqrt (/ 1 (pow (+ (pow x 2) (pow y 2)) 3))))) (* 1/16 (* (* (pow z 2) (sqrt 1/3)) (sqrt (/ 1 (pow (+ (pow x 2) (pow y 2)) 5))))))))))
(* z (sqrt 1/3))
(* z (+ (sqrt 1/3) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow y 2))) (pow z 2)))))
(* z (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow y 2)) 2)) (pow z 4))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow y 2))) (pow z 2))))))
(* z (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow y 2)) 2)) (pow z 4))) (+ (* 1/16 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow y 2)) 3)) (pow z 6))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow y 2))) (pow z 2)))))))
(* -1 (* z (sqrt 1/3)))
(* -1 (* z (+ (sqrt 1/3) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow y 2))) (pow z 2))))))
(* -1 (* z (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow y 2)) 2)) (pow z 4))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow y 2))) (pow z 2)))))))
(* -1 (* z (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow y 2)) 2)) (pow z 4))) (+ (* 1/16 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow y 2)) 3)) (pow z 6))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow y 2))) (pow z 2))))))))
(* 1/3 (+ (pow y 2) (pow z 2)))
(+ (* 1/3 (+ (pow y 2) (pow z 2))) (* 1/3 (pow x 2)))
(+ (* 1/3 (+ (pow y 2) (pow z 2))) (* 1/3 (pow x 2)))
(+ (* 1/3 (+ (pow y 2) (pow z 2))) (* 1/3 (pow x 2)))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/3 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))
(* (pow x 2) (+ 1/3 (* 1/3 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))
(* (pow x 2) (+ 1/3 (* 1/3 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/3 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))
(* (pow x 2) (+ 1/3 (* 1/3 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))
(* (pow x 2) (+ 1/3 (* 1/3 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))
(* 1/3 (+ (pow x 2) (pow z 2)))
(+ (* 1/3 (+ (pow x 2) (pow z 2))) (* 1/3 (pow y 2)))
(+ (* 1/3 (+ (pow x 2) (pow z 2))) (* 1/3 (pow y 2)))
(+ (* 1/3 (+ (pow x 2) (pow z 2))) (* 1/3 (pow y 2)))
(* 1/3 (pow y 2))
(* (pow y 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))
(* (pow y 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))
(* (pow y 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))
(* 1/3 (pow y 2))
(* (pow y 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))
(* (pow y 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))
(* (pow y 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))
(* 1/3 (+ (pow x 2) (pow y 2)))
(+ (* 1/3 (+ (pow x 2) (pow y 2))) (* 1/3 (pow z 2)))
(+ (* 1/3 (+ (pow x 2) (pow y 2))) (* 1/3 (pow z 2)))
(+ (* 1/3 (+ (pow x 2) (pow y 2))) (* 1/3 (pow z 2)))
(* 1/3 (pow z 2))
(* (pow z 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))
(* (pow z 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))
(* (pow z 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))
(* 1/3 (pow z 2))
(* (pow z 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))
(* (pow z 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))
(* (pow z 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))

Outputs
(+ (pow y 2) (pow z 2))
(fma.f64 y y (*.f64 z z))
(+ (pow x 2) (+ (pow y 2) (pow z 2)))
(fma.f64 y y (fma.f64 z z (*.f64 x x)))
(+ (pow x 2) (+ (pow y 2) (pow z 2)))
(fma.f64 y y (fma.f64 z z (*.f64 x x)))
(+ (pow x 2) (+ (pow y 2) (pow z 2)))
(fma.f64 y y (fma.f64 z z (*.f64 x x)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 z (/.f64 z (.f64 x x)) #s(literal 1 binary64)) (*.f64 y y))
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 z (/.f64 z (.f64 x x)) #s(literal 1 binary64)) (*.f64 y y))
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 z (/.f64 z (.f64 x x)) #s(literal 1 binary64)) (*.f64 y y))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 z (/.f64 z (.f64 x x)) #s(literal 1 binary64)) (*.f64 y y))
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 z (/.f64 z (.f64 x x)) #s(literal 1 binary64)) (*.f64 y y))
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 z (/.f64 z (.f64 x x)) #s(literal 1 binary64)) (*.f64 y y))
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(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
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(* (sqrt 1/3) (sqrt (+ (pow y 2) (pow z 2))))
(.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 y y (.f64 z z))))
(+ (* 1/2 (* (* (pow x 2) (sqrt 1/3)) (sqrt (/ 1 (+ (pow y 2) (pow z 2)))))) (* (sqrt 1/3) (sqrt (+ (pow y 2) (pow z 2)))))
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(* x (sqrt 1/3))
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(* x (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow y 2) (pow z 2)) 2)) (pow x 4))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow y 2) (pow z 2))) (pow x 2))))))
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(* x (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow y 2) (pow z 2)) 2)) (pow x 4))) (+ (* 1/16 (/ (* (sqrt 1/3) (pow (+ (pow y 2) (pow z 2)) 3)) (pow x 6))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow y 2) (pow z 2))) (pow x 2)))))))
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(* -1 (* x (sqrt 1/3)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))))
(* -1 (* x (+ (sqrt 1/3) (* 1/2 (/ (* (sqrt 1/3) (+ (pow y 2) (pow z 2))) (pow x 2))))))
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(* -1 (* x (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow y 2) (pow z 2)) 2)) (pow x 4))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow y 2) (pow z 2))) (pow x 2)))))))
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(* -1 (* x (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow y 2) (pow z 2)) 2)) (pow x 4))) (+ (* 1/16 (/ (* (sqrt 1/3) (pow (+ (pow y 2) (pow z 2)) 3)) (pow x 6))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow y 2) (pow z 2))) (pow x 2))))))))
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(* (sqrt 1/3) (sqrt (+ (pow x 2) (pow z 2))))
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(+ (* 1/2 (* (* (pow y 2) (sqrt 1/3)) (sqrt (/ 1 (+ (pow x 2) (pow z 2)))))) (* (sqrt 1/3) (sqrt (+ (pow x 2) (pow z 2)))))
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(* y (sqrt 1/3))
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(* y (+ (sqrt 1/3) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) (pow y 2)))))
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(* y (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow z 2)) 2)) (pow y 4))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) (pow y 2))))))
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(* y (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow z 2)) 2)) (pow y 4))) (+ (* 1/16 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow z 2)) 3)) (pow y 6))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) (pow y 2)))))))
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(* -1 (* y (sqrt 1/3)))
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(* -1 (* y (+ (sqrt 1/3) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) (pow y 2))))))
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(* -1 (* y (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow z 2)) 2)) (pow y 4))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) (pow y 2)))))))
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(* (sqrt 1/3) (sqrt (+ (pow x 2) (pow y 2))))
(.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 y y (.f64 x x))))
(+ (* 1/2 (* (* (pow z 2) (sqrt 1/3)) (sqrt (/ 1 (+ (pow x 2) (pow y 2)))))) (* (sqrt 1/3) (sqrt (+ (pow x 2) (pow y 2)))))
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(fma.f64 (.f64 z z) (fma.f64 (.f64 z z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 5 binary64)))) (.f64 (.f64 #s(literal 1/16 binary64) (.f64 z z)) (sqrt.f64 #s(literal 1/3 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y (.f64 x x)) (.f64 (fma.f64 y y (.f64 x x)) (fma.f64 y y (.f64 x x)))))) (.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal -1/8 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x x)))) (.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))) (.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 y y (.f64 x x)))))
(* z (sqrt 1/3))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(* z (+ (sqrt 1/3) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow y 2))) (pow z 2)))))
(fma.f64 z (sqrt.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 y y (.f64 x x)) (sqrt.f64 #s(literal 1/3 binary64))) (/.f64 #s(literal 1/2 binary64) z))))
(* z (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow y 2)) 2)) (pow z 4))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow y 2))) (pow z 2))))))
(.f64 z (fma.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) (fma.f64 y y (.f64 x x))) (.f64 (.f64 z z) (.f64 z z))) #s(literal -1/8 binary64) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/3 binary64))))
(* z (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow y 2)) 2)) (pow z 4))) (+ (* 1/16 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow y 2)) 3)) (pow z 6))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow y 2))) (pow z 2)))))))
(.f64 z (fma.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) (fma.f64 y y (.f64 x x))) (.f64 (.f64 z z) (.f64 z z))) #s(literal -1/8 binary64) (.f64 (.f64 (.f64 (fma.f64 y y (.f64 x x)) (fma.f64 y y (.f64 x x))) (/.f64 (fma.f64 y y (*.f64 x x)) (pow.f64 z #s(literal 6 binary64)))) #s(literal 1/16 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* -1 (* z (sqrt 1/3)))
(*.f64 z (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(* -1 (* z (+ (sqrt 1/3) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow y 2))) (pow z 2))))))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 y y (.f64 x x)) (sqrt.f64 #s(literal 1/3 binary64))) (/.f64 #s(literal 1/2 binary64) z)) (.f64 z (neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))))
(* -1 (* z (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow y 2)) 2)) (pow z 4))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow y 2))) (pow z 2)))))))
(.f64 z (neg.f64 (fma.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) (fma.f64 y y (.f64 x x))) (.f64 (.f64 z z) (.f64 z z))) #s(literal -1/8 binary64) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/3 binary64)))))
(* -1 (* z (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow y 2)) 2)) (pow z 4))) (+ (* 1/16 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow y 2)) 3)) (pow z 6))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow y 2))) (pow z 2))))))))
(.f64 (fma.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) (fma.f64 y y (.f64 x x))) (.f64 (.f64 z z) (.f64 z z))) #s(literal -1/8 binary64) (.f64 (.f64 (.f64 (fma.f64 y y (.f64 x x)) (fma.f64 y y (.f64 x x))) (/.f64 (fma.f64 y y (*.f64 x x)) (pow.f64 z #s(literal 6 binary64)))) #s(literal 1/16 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))) (neg.f64 z))
(* 1/3 (+ (pow y 2) (pow z 2)))
(.f64 (fma.f64 y y (.f64 z z)) #s(literal 1/3 binary64))
(+ (* 1/3 (+ (pow y 2) (pow z 2))) (* 1/3 (pow x 2)))
(.f64 #s(literal 1/3 binary64) (fma.f64 y y (fma.f64 z z (.f64 x x))))
(+ (* 1/3 (+ (pow y 2) (pow z 2))) (* 1/3 (pow x 2)))
(.f64 #s(literal 1/3 binary64) (fma.f64 y y (fma.f64 z z (.f64 x x))))
(+ (* 1/3 (+ (pow y 2) (pow z 2))) (* 1/3 (pow x 2)))
(.f64 #s(literal 1/3 binary64) (fma.f64 y y (fma.f64 z z (.f64 x x))))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1/3 (* 1/3 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))
(fma.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y (.f64 z z)) #s(literal 1/3 binary64)) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(* (pow x 2) (+ 1/3 (* 1/3 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))
(fma.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y (.f64 z z)) #s(literal 1/3 binary64)) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(* (pow x 2) (+ 1/3 (* 1/3 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))
(fma.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y (.f64 z z)) #s(literal 1/3 binary64)) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1/3 (* 1/3 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))
(fma.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y (.f64 z z)) #s(literal 1/3 binary64)) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(* (pow x 2) (+ 1/3 (* 1/3 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))
(fma.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y (.f64 z z)) #s(literal 1/3 binary64)) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(* (pow x 2) (+ 1/3 (* 1/3 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))
(fma.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y (.f64 z z)) #s(literal 1/3 binary64)) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(* 1/3 (+ (pow x 2) (pow z 2)))
(.f64 (fma.f64 z z (.f64 x x)) #s(literal 1/3 binary64))
(+ (* 1/3 (+ (pow x 2) (pow z 2))) (* 1/3 (pow y 2)))
(.f64 #s(literal 1/3 binary64) (fma.f64 y y (fma.f64 z z (.f64 x x))))
(+ (* 1/3 (+ (pow x 2) (pow z 2))) (* 1/3 (pow y 2)))
(.f64 #s(literal 1/3 binary64) (fma.f64 y y (fma.f64 z z (.f64 x x))))
(+ (* 1/3 (+ (pow x 2) (pow z 2))) (* 1/3 (pow y 2)))
(.f64 #s(literal 1/3 binary64) (fma.f64 y y (fma.f64 z z (.f64 x x))))
(* 1/3 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/3 binary64))
(* (pow y 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))
(fma.f64 y (.f64 y #s(literal 1/3 binary64)) (.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z (.f64 x x)) #s(literal 1/3 binary64))))
(* (pow y 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))
(fma.f64 y (.f64 y #s(literal 1/3 binary64)) (.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z (.f64 x x)) #s(literal 1/3 binary64))))
(* (pow y 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))
(fma.f64 y (.f64 y #s(literal 1/3 binary64)) (.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z (.f64 x x)) #s(literal 1/3 binary64))))
(* 1/3 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/3 binary64))
(* (pow y 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))
(fma.f64 y (.f64 y #s(literal 1/3 binary64)) (.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z (.f64 x x)) #s(literal 1/3 binary64))))
(* (pow y 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))
(fma.f64 y (.f64 y #s(literal 1/3 binary64)) (.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z (.f64 x x)) #s(literal 1/3 binary64))))
(* (pow y 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))
(fma.f64 y (.f64 y #s(literal 1/3 binary64)) (.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z (.f64 x x)) #s(literal 1/3 binary64))))
(* 1/3 (+ (pow x 2) (pow y 2)))
(.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/3 binary64))
(+ (* 1/3 (+ (pow x 2) (pow y 2))) (* 1/3 (pow z 2)))
(.f64 #s(literal 1/3 binary64) (fma.f64 y y (fma.f64 z z (.f64 x x))))
(+ (* 1/3 (+ (pow x 2) (pow y 2))) (* 1/3 (pow z 2)))
(.f64 #s(literal 1/3 binary64) (fma.f64 y y (fma.f64 z z (.f64 x x))))
(+ (* 1/3 (+ (pow x 2) (pow y 2))) (* 1/3 (pow z 2)))
(.f64 #s(literal 1/3 binary64) (fma.f64 y y (fma.f64 z z (.f64 x x))))
(* 1/3 (pow z 2))
(.f64 z (.f64 z #s(literal 1/3 binary64)))
(* (pow z 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))
(fma.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/3 binary64)) (.f64 z (.f64 z #s(literal 1/3 binary64))))
(* (pow z 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))
(fma.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/3 binary64)) (.f64 z (.f64 z #s(literal 1/3 binary64))))
(* (pow z 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))
(fma.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/3 binary64)) (.f64 z (.f64 z #s(literal 1/3 binary64))))
(* 1/3 (pow z 2))
(.f64 z (.f64 z #s(literal 1/3 binary64)))
(* (pow z 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))
(fma.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/3 binary64)) (.f64 z (.f64 z #s(literal 1/3 binary64))))
(* (pow z 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))
(fma.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/3 binary64)) (.f64 z (.f64 z #s(literal 1/3 binary64))))
(* (pow z 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))
(fma.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/3 binary64)) (.f64 z (.f64 z #s(literal 1/3 binary64))))

eval216.0ms (2.2%)

Memory: -13.1MiB live, 153.3MiB allocated
Compiler: Compiled 18 234 to 1 564 computations (91.4% saved)

prune72.0ms (0.7%)

Memory

-15.6MiB live, 184.2MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	476	6	482
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	477	6	483

Accuracy

98.1%

Counts

483 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.4%	(/.f64 (sqrt.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z)))) (sqrt.f64 #s(literal 3 binary64)))
▶	97.3%	(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
▶	42.5%	(sqrt.f64 (/.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 3 binary64)))
▶	41.9%	(sqrt.f64 (/.f64 (*.f64 z z) #s(literal 3 binary64)))
▶	42.5%	(sqrt.f64 (.f64 (fma.f64 y y (.f64 z z)) #s(literal 1/3 binary64)))
▶	41.9%	(sqrt.f64 (.f64 z (.f64 z #s(literal 1/3 binary64))))

Compiler

Compiled 136 to 94 computations (30.9% saved)

simplify7.0ms (0.1%)

Memory

19.9MiB live, 19.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Program
✓	cost-diff	(fma.f64 x x (*.f64 y y))
✓	cost-diff	(fma.f64 z z (fma.f64 x x (*.f64 y y)))
✓	cost-diff	(/.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 3 binary64))
✓	cost-diff	(sqrt.f64 (/.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 3 binary64)))
✓	cost-diff	(*.f64 z z)
✓	cost-diff	(/.f64 (*.f64 z z) #s(literal 3 binary64))
✓	cost-diff	(sqrt.f64 (/.f64 (*.f64 z z) #s(literal 3 binary64)))
✓	cost-diff	(*.f64 z z)
✓	cost-diff	(fma.f64 y y (*.f64 z z))
✓	cost-diff	(.f64 (fma.f64 y y (.f64 z z)) #s(literal 1/3 binary64))
✓	cost-diff	(sqrt.f64 (.f64 (fma.f64 y y (.f64 z z)) #s(literal 1/3 binary64)))
✓	cost-diff	(*.f64 z #s(literal 1/3 binary64))
✓	cost-diff	(.f64 z (.f64 z #s(literal 1/3 binary64)))
✓	cost-diff	(sqrt.f64 (.f64 z (.f64 z #s(literal 1/3 binary64))))
✓	cost-diff	(sqrt.f64 #s(literal 1/3 binary64))
✓	cost-diff	(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))

Rules

42×	`-lowering-.f32`
42×	`-lowering-.f64`
34×	`accelerator-lowering-fma.f32`
34×	`accelerator-lowering-fma.f64`
28×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	124
1	34	124
2	49	124
3	53	124
4	54	124
0	54	114

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize72.0ms (0.8%)

Memory

-10.4MiB live, 185.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(fma.f64 x x (*.f64 y y))
✓	accuracy	99.8%	(/.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 3 binary64))
✓	accuracy	42.5%	(sqrt.f64 (/.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 3 binary64)))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.8%	(/.f64 (*.f64 z z) #s(literal 3 binary64))
✓	accuracy	42.5%	(sqrt.f64 (/.f64 (*.f64 z z) #s(literal 3 binary64)))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	100.0%	(fma.f64 y y (*.f64 z z))
✓	accuracy	99.8%	(.f64 (fma.f64 y y (.f64 z z)) #s(literal 1/3 binary64))
✓	accuracy	42.5%	(sqrt.f64 (.f64 (fma.f64 y y (.f64 z z)) #s(literal 1/3 binary64)))
✓	accuracy	99.9%	(.f64 z (.f64 z #s(literal 1/3 binary64)))
✓	accuracy	99.4%	(*.f64 z #s(literal 1/3 binary64))
✓	accuracy	42.5%	(sqrt.f64 (.f64 z (.f64 z #s(literal 1/3 binary64))))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/3 binary64))
✓	accuracy	99.5%	(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))

Samples

46.0ms

256×

valid

Compiler

Compiled 116 to 24 computations (79.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 10.0ms (32% of total)

ival-sqrt: 9.0ms (28.8% of total)

const: 4.0ms (12.8% of total)

ival-div: 3.0ms (9.6% of total)

ival-add: 3.0ms (9.6% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.2%)

Memory

-6.0MiB live, 33.7MiB allocated

Counts

16 → 300

Calls

Call 1

Inputs
#<alt (* z (sqrt 1/3))>
#<alt (sqrt 1/3)>
#<alt (sqrt (* z (* z 1/3)))>
#<alt (* z (* z 1/3))>
#<alt (* z 1/3)>
#<alt (sqrt (* (+ (* y y) (* z z)) 1/3))>
#<alt (* (+ (* y y) (* z z)) 1/3)>
#<alt (+ (* y y) (* z z))>
#<alt (* z z)>
#<alt (sqrt (/ (* z z) 3))>
#<alt (/ (* z z) 3)>
#<alt (sqrt (/ (+ (* z z) (+ (* x x) (* y y))) 3))>
#<alt (/ (+ (* z z) (+ (* x x) (* y y))) 3)>
#<alt (+ (* z z) (+ (* x x) (* y y)))>
#<alt (+ (* x x) (* y y))>
#<alt (* y y)>

Outputs
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* -1 (* z (sqrt 1/3)))>
#<alt (* -1 (* z (sqrt 1/3)))>
#<alt (* -1 (* z (sqrt 1/3)))>
#<alt (* -1 (* z (sqrt 1/3)))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 z)>
#<alt (* 1/3 z)>
#<alt (* 1/3 z)>
#<alt (* 1/3 z)>
#<alt (* 1/3 z)>
#<alt (* 1/3 z)>
#<alt (* 1/3 z)>
#<alt (* 1/3 z)>
#<alt (* 1/3 z)>
#<alt (* 1/3 z)>
#<alt (* 1/3 z)>
#<alt (* 1/3 z)>
#<alt (* z (sqrt 1/3))>
#<alt (+ (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) z)) (* z (sqrt 1/3)))>
#<alt (+ (* z (sqrt 1/3)) (* (pow y 2) (+ (* -1/8 (/ (* (pow y 2) (sqrt 1/3)) (pow z 3))) (* 1/2 (/ (sqrt 1/3) z)))))>
#<alt (+ (* z (sqrt 1/3)) (* (pow y 2) (+ (* 1/2 (/ (sqrt 1/3) z)) (* (pow y 2) (+ (* -1/8 (/ (sqrt 1/3) (pow z 3))) (* 1/16 (/ (* (pow y 2) (sqrt 1/3)) (pow z 5))))))))>
#<alt (* y (sqrt 1/3))>
#<alt (* y (+ (sqrt 1/3) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2)))))>
#<alt (* y (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow z 4) (sqrt 1/3)) (pow y 4))) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2))))))>
#<alt (* y (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow z 4) (sqrt 1/3)) (pow y 4))) (+ (* 1/16 (/ (* (pow z 6) (sqrt 1/3)) (pow y 6))) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2)))))))>
#<alt (* -1 (* y (sqrt 1/3)))>
#<alt (* -1 (* y (+ (sqrt 1/3) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2))))))>
#<alt (* -1 (* y (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow z 4) (sqrt 1/3)) (pow y 4))) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2)))))))>
#<alt (* -1 (* y (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow z 4) (sqrt 1/3)) (pow y 4))) (+ (* 1/16 (/ (* (pow z 6) (sqrt 1/3)) (pow y 6))) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2))))))))>
#<alt (* y (sqrt 1/3))>
#<alt (+ (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) y)) (* y (sqrt 1/3)))>
#<alt (+ (* y (sqrt 1/3)) (* (pow z 2) (+ (* -1/8 (/ (* (pow z 2) (sqrt 1/3)) (pow y 3))) (* 1/2 (/ (sqrt 1/3) y)))))>
#<alt (+ (* y (sqrt 1/3)) (* (pow z 2) (+ (* 1/2 (/ (sqrt 1/3) y)) (* (pow z 2) (+ (* -1/8 (/ (sqrt 1/3) (pow y 3))) (* 1/16 (/ (* (pow z 2) (sqrt 1/3)) (pow y 5))))))))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (+ (sqrt 1/3) (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2)))))>
#<alt (* z (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow y 4) (sqrt 1/3)) (pow z 4))) (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2))))))>
#<alt (* z (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow y 4) (sqrt 1/3)) (pow z 4))) (+ (* 1/16 (/ (* (pow y 6) (sqrt 1/3)) (pow z 6))) (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2)))))))>
#<alt (* -1 (* z (sqrt 1/3)))>
#<alt (* -1 (* z (+ (sqrt 1/3) (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2))))))>
#<alt (* -1 (* z (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow y 4) (sqrt 1/3)) (pow z 4))) (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2)))))))>
#<alt (* -1 (* z (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow y 4) (sqrt 1/3)) (pow z 4))) (+ (* 1/16 (/ (* (pow y 6) (sqrt 1/3)) (pow z 6))) (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2))))))))>
#<alt (* 1/3 (pow z 2))>
#<alt (+ (* 1/3 (pow y 2)) (* 1/3 (pow z 2)))>
#<alt (+ (* 1/3 (pow y 2)) (* 1/3 (pow z 2)))>
#<alt (+ (* 1/3 (pow y 2)) (* 1/3 (pow z 2)))>
#<alt (* 1/3 (pow y 2))>
#<alt (* (pow y 2) (+ 1/3 (* 1/3 (/ (pow z 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/3 (* 1/3 (/ (pow z 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/3 (* 1/3 (/ (pow z 2) (pow y 2)))))>
#<alt (* 1/3 (pow y 2))>
#<alt (* (pow y 2) (+ 1/3 (* 1/3 (/ (pow z 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/3 (* 1/3 (/ (pow z 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/3 (* 1/3 (/ (pow z 2) (pow y 2)))))>
#<alt (* 1/3 (pow y 2))>
#<alt (+ (* 1/3 (pow y 2)) (* 1/3 (pow z 2)))>
#<alt (+ (* 1/3 (pow y 2)) (* 1/3 (pow z 2)))>
#<alt (+ (* 1/3 (pow y 2)) (* 1/3 (pow z 2)))>
#<alt (* 1/3 (pow z 2))>
#<alt (* (pow z 2) (+ 1/3 (* 1/3 (/ (pow y 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1/3 (* 1/3 (/ (pow y 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1/3 (* 1/3 (/ (pow y 2) (pow z 2)))))>
#<alt (* 1/3 (pow z 2))>
#<alt (* (pow z 2) (+ 1/3 (* 1/3 (/ (pow y 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1/3 (* 1/3 (/ (pow y 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1/3 (* 1/3 (/ (pow y 2) (pow z 2)))))>
#<alt (pow z 2)>
#<alt (+ (pow y 2) (pow z 2))>
#<alt (+ (pow y 2) (pow z 2))>
#<alt (+ (pow y 2) (pow z 2))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2))))>
#<alt (pow y 2)>
#<alt (+ (pow y 2) (pow z 2))>
#<alt (+ (pow y 2) (pow z 2))>
#<alt (+ (pow y 2) (pow z 2))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ (pow y 2) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (pow y 2) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (pow y 2) (pow z 2))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ (pow y 2) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (pow y 2) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (pow y 2) (pow z 2))))>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* -1 (* z (sqrt 1/3)))>
#<alt (* -1 (* z (sqrt 1/3)))>
#<alt (* -1 (* z (sqrt 1/3)))>
#<alt (* -1 (* z (sqrt 1/3)))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 (pow z 2))>
#<alt (* (sqrt 1/3) (sqrt (+ (pow x 2) (pow y 2))))>
#<alt (+ (* 1/2 (* (* (pow z 2) (sqrt 1/3)) (sqrt (/ 1 (+ (pow x 2) (pow y 2)))))) (* (sqrt 1/3) (sqrt (+ (pow x 2) (pow y 2)))))>
#<alt (+ (* (sqrt 1/3) (sqrt (+ (pow x 2) (pow y 2)))) (* (pow z 2) (+ (* -1/8 (* (* (pow z 2) (sqrt 1/3)) (sqrt (/ 1 (pow (+ (pow x 2) (pow y 2)) 3))))) (* 1/2 (* (sqrt 1/3) (sqrt (/ 1 (+ (pow x 2) (pow y 2)))))))))>
#<alt (+ (* (sqrt 1/3) (sqrt (+ (pow x 2) (pow y 2)))) (* (pow z 2) (+ (* 1/2 (* (sqrt 1/3) (sqrt (/ 1 (+ (pow x 2) (pow y 2)))))) (* (pow z 2) (+ (* -1/8 (* (sqrt 1/3) (sqrt (/ 1 (pow (+ (pow x 2) (pow y 2)) 3))))) (* 1/16 (* (* (pow z 2) (sqrt 1/3)) (sqrt (/ 1 (pow (+ (pow x 2) (pow y 2)) 5))))))))))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (+ (sqrt 1/3) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow y 2))) (pow z 2)))))>
#<alt (* z (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow y 2)) 2)) (pow z 4))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow y 2))) (pow z 2))))))>
#<alt (* z (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow y 2)) 2)) (pow z 4))) (+ (* 1/16 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow y 2)) 3)) (pow z 6))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow y 2))) (pow z 2)))))))>
#<alt (* -1 (* z (sqrt 1/3)))>
#<alt (* -1 (* z (+ (sqrt 1/3) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow y 2))) (pow z 2))))))>
#<alt (* -1 (* z (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow y 2)) 2)) (pow z 4))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow y 2))) (pow z 2)))))))>
#<alt (* -1 (* z (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow y 2)) 2)) (pow z 4))) (+ (* 1/16 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow y 2)) 3)) (pow z 6))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow y 2))) (pow z 2))))))))>
#<alt (* (sqrt 1/3) (sqrt (+ (pow y 2) (pow z 2))))>
#<alt (+ (* 1/2 (* (* (pow x 2) (sqrt 1/3)) (sqrt (/ 1 (+ (pow y 2) (pow z 2)))))) (* (sqrt 1/3) (sqrt (+ (pow y 2) (pow z 2)))))>
#<alt (+ (* (sqrt 1/3) (sqrt (+ (pow y 2) (pow z 2)))) (* (pow x 2) (+ (* -1/8 (* (* (pow x 2) (sqrt 1/3)) (sqrt (/ 1 (pow (+ (pow y 2) (pow z 2)) 3))))) (* 1/2 (* (sqrt 1/3) (sqrt (/ 1 (+ (pow y 2) (pow z 2)))))))))>
#<alt (+ (* (sqrt 1/3) (sqrt (+ (pow y 2) (pow z 2)))) (* (pow x 2) (+ (* 1/2 (* (sqrt 1/3) (sqrt (/ 1 (+ (pow y 2) (pow z 2)))))) (* (pow x 2) (+ (* -1/8 (* (sqrt 1/3) (sqrt (/ 1 (pow (+ (pow y 2) (pow z 2)) 3))))) (* 1/16 (* (* (pow x 2) (sqrt 1/3)) (sqrt (/ 1 (pow (+ (pow y 2) (pow z 2)) 5))))))))))>
#<alt (* x (sqrt 1/3))>
#<alt (* x (+ (sqrt 1/3) (* 1/2 (/ (* (sqrt 1/3) (+ (pow y 2) (pow z 2))) (pow x 2)))))>
#<alt (* x (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow y 2) (pow z 2)) 2)) (pow x 4))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow y 2) (pow z 2))) (pow x 2))))))>
#<alt (* x (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow y 2) (pow z 2)) 2)) (pow x 4))) (+ (* 1/16 (/ (* (sqrt 1/3) (pow (+ (pow y 2) (pow z 2)) 3)) (pow x 6))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow y 2) (pow z 2))) (pow x 2)))))))>
#<alt (* -1 (* x (sqrt 1/3)))>
#<alt (* -1 (* x (+ (sqrt 1/3) (* 1/2 (/ (* (sqrt 1/3) (+ (pow y 2) (pow z 2))) (pow x 2))))))>
#<alt (* -1 (* x (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow y 2) (pow z 2)) 2)) (pow x 4))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow y 2) (pow z 2))) (pow x 2)))))))>
#<alt (* -1 (* x (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow y 2) (pow z 2)) 2)) (pow x 4))) (+ (* 1/16 (/ (* (sqrt 1/3) (pow (+ (pow y 2) (pow z 2)) 3)) (pow x 6))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow y 2) (pow z 2))) (pow x 2))))))))>
#<alt (* (sqrt 1/3) (sqrt (+ (pow x 2) (pow z 2))))>
#<alt (+ (* 1/2 (* (* (pow y 2) (sqrt 1/3)) (sqrt (/ 1 (+ (pow x 2) (pow z 2)))))) (* (sqrt 1/3) (sqrt (+ (pow x 2) (pow z 2)))))>
#<alt (+ (* (sqrt 1/3) (sqrt (+ (pow x 2) (pow z 2)))) (* (pow y 2) (+ (* -1/8 (* (* (pow y 2) (sqrt 1/3)) (sqrt (/ 1 (pow (+ (pow x 2) (pow z 2)) 3))))) (* 1/2 (* (sqrt 1/3) (sqrt (/ 1 (+ (pow x 2) (pow z 2)))))))))>
#<alt (+ (* (sqrt 1/3) (sqrt (+ (pow x 2) (pow z 2)))) (* (pow y 2) (+ (* 1/2 (* (sqrt 1/3) (sqrt (/ 1 (+ (pow x 2) (pow z 2)))))) (* (pow y 2) (+ (* -1/8 (* (sqrt 1/3) (sqrt (/ 1 (pow (+ (pow x 2) (pow z 2)) 3))))) (* 1/16 (* (* (pow y 2) (sqrt 1/3)) (sqrt (/ 1 (pow (+ (pow x 2) (pow z 2)) 5))))))))))>
#<alt (* y (sqrt 1/3))>
#<alt (* y (+ (sqrt 1/3) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) (pow y 2)))))>
#<alt (* y (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow z 2)) 2)) (pow y 4))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) (pow y 2))))))>
#<alt (* y (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow z 2)) 2)) (pow y 4))) (+ (* 1/16 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow z 2)) 3)) (pow y 6))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) (pow y 2)))))))>
#<alt (* -1 (* y (sqrt 1/3)))>
#<alt (* -1 (* y (+ (sqrt 1/3) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) (pow y 2))))))>
#<alt (* -1 (* y (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow z 2)) 2)) (pow y 4))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) (pow y 2)))))))>
#<alt (* -1 (* y (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow z 2)) 2)) (pow y 4))) (+ (* 1/16 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow z 2)) 3)) (pow y 6))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) (pow y 2))))))))>
#<alt (* 1/3 (+ (pow x 2) (pow y 2)))>
#<alt (+ (* 1/3 (+ (pow x 2) (pow y 2))) (* 1/3 (pow z 2)))>
#<alt (+ (* 1/3 (+ (pow x 2) (pow y 2))) (* 1/3 (pow z 2)))>
#<alt (+ (* 1/3 (+ (pow x 2) (pow y 2))) (* 1/3 (pow z 2)))>
#<alt (* 1/3 (pow z 2))>
#<alt (* (pow z 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))>
#<alt (* 1/3 (pow z 2))>
#<alt (* (pow z 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))>
#<alt (* 1/3 (+ (pow y 2) (pow z 2)))>
#<alt (+ (* 1/3 (+ (pow y 2) (pow z 2))) (* 1/3 (pow x 2)))>
#<alt (+ (* 1/3 (+ (pow y 2) (pow z 2))) (* 1/3 (pow x 2)))>
#<alt (+ (* 1/3 (+ (pow y 2) (pow z 2))) (* 1/3 (pow x 2)))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 1/3 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/3 (* 1/3 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/3 (* 1/3 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 1/3 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/3 (* 1/3 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/3 (* 1/3 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))>
#<alt (* 1/3 (+ (pow x 2) (pow z 2)))>
#<alt (+ (* 1/3 (+ (pow x 2) (pow z 2))) (* 1/3 (pow y 2)))>
#<alt (+ (* 1/3 (+ (pow x 2) (pow z 2))) (* 1/3 (pow y 2)))>
#<alt (+ (* 1/3 (+ (pow x 2) (pow z 2))) (* 1/3 (pow y 2)))>
#<alt (* 1/3 (pow y 2))>
#<alt (* (pow y 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))>
#<alt (* 1/3 (pow y 2))>
#<alt (* (pow y 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))>
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))>
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2)))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2)))))>
#<alt (+ (pow y 2) (pow z 2))>
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))>
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))>
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))>
#<alt (+ (pow x 2) (pow z 2))>
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))>
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))>
#<alt (+ (pow x 2) (+ (pow y 2) (pow z 2)))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))>
#<alt (pow y 2)>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (pow x 2)>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>

Calls

75 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(* z (sqrt 1/3))
1.0ms	y	@	0	(sqrt (* (+ (* y y) (* z z)) 1/3))
1.0ms	z	@	inf	(sqrt (* (+ (* y y) (* z z)) 1/3))
1.0ms	y	@	inf	(sqrt (* (+ (* y y) (* z z)) 1/3))
0.0ms	z	@	0	(sqrt (* (+ (* y y) (* z z)) 1/3))

rewrite361.0ms (3.7%)

Memory

11.5MiB live, 761.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 924×	`accelerator-lowering-fma.f32`
5 924×	`accelerator-lowering-fma.f64`
5 534×	`-lowering-.f32`
5 534×	`-lowering-.f64`
4 292×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	104
1	99	104
2	697	104
0	8177	91

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 819

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/3 binary64) (*.f64 z z))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/3 binary64) (.f64 z z)))
(neg.f64 (/.f64 z (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(neg.f64 (/.f64 (neg.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)))
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) (sqrt.f64 #s(literal -3 binary64)))
(/.f64 (neg.f64 z) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 z z))))
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z)) (neg.f64 (sqrt.f64 #s(literal -3 binary64))))
(/.f64 (*.f64 z #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(pow.f64 (.f64 #s(literal 1/3 binary64) (.f64 z z)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) (*.f64 z z)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal -1 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (.f64 z z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 z z)) (.f64 #s(literal 1/3 binary64) (*.f64 z z))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (.f64 #s(literal 1/3 binary64) (.f64 z z)))) #s(literal 1/2 binary64))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(.f64 #s(literal 1 binary64) (.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(.f64 (sqrt.f64 z) (sqrt.f64 (.f64 z #s(literal 1/3 binary64))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(.f64 (sqrt.f64 (.f64 z #s(literal 1/3 binary64))) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) (pow.f64 #s(literal -1/3 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) (sqrt.f64 #s(literal -1/3 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) z)
(.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)) z))
(.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (.f64 z z)) #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal 1/3 binary64) (*.f64 z z)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(.f64 (.f64 (sqrt.f64 z) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 z) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64))))
(.f64 (.f64 z (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
(pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 #s(literal 1/3 binary64))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/3 binary64) (*.f64 z z))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/3 binary64) (.f64 z z)))
(neg.f64 (/.f64 z (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(neg.f64 (/.f64 (neg.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)))
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) (sqrt.f64 #s(literal -3 binary64)))
(/.f64 (neg.f64 z) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 z z))))
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z)) (neg.f64 (sqrt.f64 #s(literal -3 binary64))))
(/.f64 (*.f64 z #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(pow.f64 (.f64 #s(literal 1/3 binary64) (.f64 z z)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) (*.f64 z z)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal -1 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (.f64 z z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 z z)) (.f64 #s(literal 1/3 binary64) (*.f64 z z))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (.f64 #s(literal 1/3 binary64) (.f64 z z)))) #s(literal 1/2 binary64))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(.f64 #s(literal 1 binary64) (.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(.f64 (sqrt.f64 z) (sqrt.f64 (.f64 z #s(literal 1/3 binary64))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(.f64 (sqrt.f64 (.f64 z #s(literal 1/3 binary64))) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) (pow.f64 #s(literal -1/3 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) (sqrt.f64 #s(literal -1/3 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) z)
(.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)) z))
(.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (.f64 z z)) #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal 1/3 binary64) (*.f64 z z)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(.f64 (.f64 (sqrt.f64 z) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 z) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64))))
(.f64 (.f64 z (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 3 binary64) (.f64 z z))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 z z) #s(literal -1/3 binary64)))
(neg.f64 (.f64 (.f64 z z) #s(literal -1/3 binary64)))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 (*.f64 z z) #s(literal -1/3 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 z z))))
(/.f64 z (/.f64 #s(literal 3 binary64) z))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 (*.f64 z z) #s(literal 3 binary64))
(/.f64 (*.f64 z (neg.f64 z)) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 z z)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) (*.f64 z z)))
(/.f64 (*.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 3 binary64) z))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 z (neg.f64 z))) #s(literal -3 binary64))
(/.f64 (*.f64 z #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) z))
(pow.f64 (/.f64 #s(literal 3 binary64) (*.f64 z z)) #s(literal -1 binary64))
(.f64 z (.f64 z #s(literal 1/3 binary64)))
(.f64 #s(literal 1/3 binary64) (.f64 z z))
(.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -1 binary64)))
(.f64 (.f64 z #s(literal 1/3 binary64)) z)
(.f64 (.f64 #s(literal 1/3 binary64) (*.f64 z z)) #s(literal 1 binary64))
(.f64 (.f64 z (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(.f64 (.f64 z z) #s(literal 1/3 binary64))
(.f64 (.f64 z (neg.f64 z)) #s(literal -1/3 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 z z)))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 z z) #s(literal -1/3 binary64)))
(.f64 (neg.f64 z) (.f64 z #s(literal -1/3 binary64)))
(.f64 #s(literal -1/3 binary64) (.f64 z (neg.f64 z)))
(.f64 (.f64 #s(literal 1 binary64) z) (*.f64 z #s(literal 1/3 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 z (neg.f64 z))) #s(literal -1/3 binary64))
(neg.f64 (/.f64 z #s(literal -3 binary64)))
(/.f64 z #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 3 binary64) z) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 3 binary64) z)))
(/.f64 (neg.f64 z) #s(literal -3 binary64))
(/.f64 (neg.f64 (neg.f64 z)) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) z) #s(literal -1 binary64))
(*.f64 z #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) z)
(.f64 #s(literal 1 binary64) (.f64 z #s(literal 1/3 binary64)))
(*.f64 (neg.f64 z) #s(literal -1/3 binary64))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (*.f64 y y)))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (.f64 y y))))
(/.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (sqrt.f64 (fma.f64 (.f64 z z) (.f64 (+.f64 z y) (-.f64 z y)) (.f64 y (.f64 y (*.f64 y y))))))
(/.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (.f64 (fma.f64 z z (.f64 y y)) (.f64 (+.f64 y z) (-.f64 y z))))) (sqrt.f64 (*.f64 (+.f64 y z) (-.f64 y z))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 1/3 binary64))) (sqrt.f64 (fma.f64 (.f64 z z) (.f64 (+.f64 z y) (-.f64 z y)) (.f64 y (.f64 y (*.f64 y y))))))
(/.f64 (sqrt.f64 (.f64 (.f64 (fma.f64 z z (.f64 y y)) (.f64 (+.f64 y z) (-.f64 y z))) #s(literal 1/3 binary64))) (sqrt.f64 (*.f64 (+.f64 y z) (-.f64 y z))))
(/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (sqrt.f64 (fma.f64 (.f64 z z) (.f64 (+.f64 z y) (-.f64 z y)) (.f64 y (.f64 y (*.f64 y y))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (.f64 (fma.f64 z z (.f64 y y)) (.f64 (+.f64 y z) (-.f64 y z))))) (sqrt.f64 (*.f64 (+.f64 y z) (-.f64 y z))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (fma.f64 (.f64 z z) (.f64 (+.f64 z y) (-.f64 z y)) (.f64 y (.f64 y (*.f64 y y))))))
(/.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 z z (.f64 y y)) (.f64 (+.f64 y z) (-.f64 y z)))) (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (*.f64 (+.f64 y z) (-.f64 y z))))
(pow.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (.f64 y y))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (.f64 y y))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (.f64 y y))) (.f64 #s(literal 1/3 binary64) (fma.f64 z z (*.f64 y y)))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (.f64 y y))))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 z z (.f64 y y))))
(.f64 (sqrt.f64 (fma.f64 z z (.f64 y y))) (sqrt.f64 #s(literal 1/3 binary64)))
(.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 z z (*.f64 y y)))))
(.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (.f64 y y))) #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (*.f64 y y))) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (fma.f64 z z (*.f64 y y))) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)))
(+.f64 (.f64 #s(literal 1/3 binary64) (.f64 z z)) (.f64 #s(literal 1/3 binary64) (.f64 y y)))
(+.f64 (.f64 #s(literal 1/3 binary64) (.f64 z z)) (.f64 (.f64 y y) #s(literal 1/3 binary64)))
(+.f64 (.f64 #s(literal 1/3 binary64) (.f64 y y)) (.f64 #s(literal 1/3 binary64) (.f64 z z)))
(+.f64 (.f64 (.f64 y y) #s(literal 1/3 binary64)) (.f64 #s(literal 1/3 binary64) (.f64 z z)))
(-.f64 (.f64 #s(literal 1/3 binary64) (.f64 y y)) (.f64 (.f64 z z) #s(literal -1/3 binary64)))
(-.f64 (.f64 (.f64 y y) #s(literal 1/3 binary64)) (.f64 (.f64 z z) #s(literal -1/3 binary64)))
(fma.f64 z (.f64 z #s(literal 1/3 binary64)) (.f64 #s(literal 1/3 binary64) (*.f64 y y)))
(fma.f64 z (.f64 z #s(literal 1/3 binary64)) (.f64 (*.f64 y y) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (.f64 y y) (.f64 #s(literal 1/3 binary64) (*.f64 z z)))
(fma.f64 #s(literal 1/3 binary64) (.f64 z z) (.f64 #s(literal 1/3 binary64) (*.f64 y y)))
(fma.f64 #s(literal 1/3 binary64) (.f64 z z) (.f64 (*.f64 y y) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -1 binary64)) (.f64 #s(literal 1/3 binary64) (*.f64 y y)))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -1 binary64)) (.f64 (*.f64 y y) #s(literal 1/3 binary64)))
(fma.f64 (.f64 z #s(literal 1/3 binary64)) z (.f64 #s(literal 1/3 binary64) (*.f64 y y)))
(fma.f64 (.f64 z #s(literal 1/3 binary64)) z (.f64 (*.f64 y y) #s(literal 1/3 binary64)))
(fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 z z)) #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 y y)))
(fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 z z)) #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/3 binary64)))
(fma.f64 (.f64 z (sqrt.f64 #s(literal 1/3 binary64))) (.f64 z (sqrt.f64 #s(literal 1/3 binary64))) (.f64 #s(literal 1/3 binary64) (.f64 y y)))
(fma.f64 (.f64 z (sqrt.f64 #s(literal 1/3 binary64))) (.f64 z (sqrt.f64 #s(literal 1/3 binary64))) (.f64 (.f64 y y) #s(literal 1/3 binary64)))
(fma.f64 y (.f64 y #s(literal 1/3 binary64)) (.f64 #s(literal 1/3 binary64) (*.f64 z z)))
(fma.f64 (.f64 y y) #s(literal 1/3 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 z z)))
(fma.f64 (.f64 z z) #s(literal 1/3 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 y y)))
(fma.f64 (.f64 z z) #s(literal 1/3 binary64) (.f64 (*.f64 y y) #s(literal 1/3 binary64)))
(fma.f64 (.f64 z (neg.f64 z)) #s(literal -1/3 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 y y)))
(fma.f64 (.f64 z (neg.f64 z)) #s(literal -1/3 binary64) (.f64 (*.f64 y y) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 z z)) (.f64 #s(literal 1/3 binary64) (.f64 y y)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 z z)) (.f64 (.f64 y y) #s(literal 1/3 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 z z) #s(literal -1/3 binary64)) (.f64 #s(literal 1/3 binary64) (.f64 y y)))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 z z) #s(literal -1/3 binary64)) (.f64 (.f64 y y) #s(literal 1/3 binary64)))
(fma.f64 (neg.f64 z) (.f64 z #s(literal -1/3 binary64)) (.f64 #s(literal 1/3 binary64) (*.f64 y y)))
(fma.f64 (neg.f64 z) (.f64 z #s(literal -1/3 binary64)) (.f64 (*.f64 y y) #s(literal 1/3 binary64)))
(fma.f64 #s(literal -1/3 binary64) (.f64 z (neg.f64 z)) (.f64 #s(literal 1/3 binary64) (*.f64 y y)))
(fma.f64 #s(literal -1/3 binary64) (.f64 z (neg.f64 z)) (.f64 (*.f64 y y) #s(literal 1/3 binary64)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 x y) (-.f64 x y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (+.f64 x y) (-.f64 x y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 x y) (-.f64 x y))) (fma.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (+.f64 x y) (-.f64 x y))) (.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (*.f64 (+.f64 x y) (-.f64 x y)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 x y) (-.f64 x y)))) (.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (+.f64 x y) (-.f64 x y))))) (+.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (+.f64 x y) (-.f64 x y)))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 (+.f64 y x) (-.f64 y x)) (.f64 x (.f64 x (.f64 x x)))))) (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 (+.f64 y x) (-.f64 y x)) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 x y)))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y (.f64 y y))) (fma.f64 y (.f64 y (.f64 y y)) (.f64 x (.f64 x (*.f64 x x)))))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 y (.f64 y (.f64 y y)))) (.f64 (fma.f64 y y (.f64 x x)) (.f64 (+.f64 x y) (-.f64 x y)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 x y)))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 y (.f64 y (.f64 y y)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) #s(literal -1 binary64))
(.f64 (fma.f64 y y (.f64 x x)) (.f64 (.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 (+.f64 y x) (-.f64 y x)) (.f64 x (.f64 x (*.f64 x x))))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y (.f64 y y)) (.f64 (.f64 x x) (*.f64 (+.f64 x y) (-.f64 x y))))))
(.f64 (fma.f64 (.f64 y y) (.f64 (+.f64 y x) (-.f64 y x)) (.f64 x (.f64 x (.f64 x x)))) (.f64 (fma.f64 y y (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 (+.f64 y x) (-.f64 y x)) (.f64 x (.f64 x (*.f64 x x)))))))
(.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x x)))
(.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 y y) (.f64 (+.f64 y x) (-.f64 y x)) (.f64 x (.f64 x (*.f64 x x)))))))
(.f64 (.f64 (fma.f64 y y (.f64 x x)) (neg.f64 (.f64 (+.f64 x y) (-.f64 x y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 (+.f64 y x) (-.f64 y x)) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 y (*.f64 y y)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 x y))) (.f64 (fma.f64 y y (.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))))
(.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (+.f64 y x) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 y x))))
(.f64 (/.f64 (fma.f64 y y (.f64 x x)) (+.f64 x y)) (+.f64 x y))
(.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (+.f64 x y) (-.f64 x y))) (.f64 (fma.f64 y y (.f64 x x)) (.f64 (+.f64 x y) (-.f64 x y)))) (fma.f64 y y (.f64 x x)))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 (.f64 y y) (.f64 (+.f64 y x) (-.f64 y x))) (.f64 (.f64 (.f64 y y) (.f64 (+.f64 y x) (-.f64 y x))) (.f64 (.f64 y y) (.f64 (+.f64 y x) (-.f64 y x))))))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 y y) (.f64 (+.f64 y x) (-.f64 y x))) (-.f64 (.f64 (.f64 y y) (.f64 (+.f64 y x) (-.f64 y x))) (.f64 x (.f64 x (*.f64 x x)))))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (fma.f64 (.f64 y y) (.f64 (+.f64 y x) (-.f64 y x)) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y y) (.f64 (+.f64 y x) (-.f64 y x)))))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y y) (.f64 (+.f64 y x) (-.f64 y x)))))
(.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (+.f64 x y) (-.f64 x y))) (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y y) (fma.f64 y y (*.f64 x x)))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(*.f64 y y)
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))

simplify863.0ms (9%)

Memory

30.2MiB live, 624.0MiB allocated

Algorithm

1×	egg-herbie

Rules

14 420×	`accelerator-lowering-fma.f32`
14 420×	`accelerator-lowering-fma.f64`
6 590×	`-lowering-.f32`
6 590×	`-lowering-.f64`
4 896×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	324	3934
1	988	3934
2	3365	3898
0	8219	3526

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

Inputs
(* z (sqrt 1/3))
(* z (sqrt 1/3))
(* z (sqrt 1/3))
(* z (sqrt 1/3))
(* z (sqrt 1/3))
(* z (sqrt 1/3))
(* z (sqrt 1/3))
(* z (sqrt 1/3))
(* z (sqrt 1/3))
(* z (sqrt 1/3))
(* z (sqrt 1/3))
(* z (sqrt 1/3))
(* z (sqrt 1/3))
(* z (sqrt 1/3))
(* z (sqrt 1/3))
(* z (sqrt 1/3))
(* z (sqrt 1/3))
(* z (sqrt 1/3))
(* z (sqrt 1/3))
(* z (sqrt 1/3))
(* -1 (* z (sqrt 1/3)))
(* -1 (* z (sqrt 1/3)))
(* -1 (* z (sqrt 1/3)))
(* -1 (* z (sqrt 1/3)))
(* 1/3 (pow z 2))
(* 1/3 (pow z 2))
(* 1/3 (pow z 2))
(* 1/3 (pow z 2))
(* 1/3 (pow z 2))
(* 1/3 (pow z 2))
(* 1/3 (pow z 2))
(* 1/3 (pow z 2))
(* 1/3 (pow z 2))
(* 1/3 (pow z 2))
(* 1/3 (pow z 2))
(* 1/3 (pow z 2))
(* 1/3 z)
(* 1/3 z)
(* 1/3 z)
(* 1/3 z)
(* 1/3 z)
(* 1/3 z)
(* 1/3 z)
(* 1/3 z)
(* 1/3 z)
(* 1/3 z)
(* 1/3 z)
(* 1/3 z)
(* z (sqrt 1/3))
(+ (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) z)) (* z (sqrt 1/3)))
(+ (* z (sqrt 1/3)) (* (pow y 2) (+ (* -1/8 (/ (* (pow y 2) (sqrt 1/3)) (pow z 3))) (* 1/2 (/ (sqrt 1/3) z)))))
(+ (* z (sqrt 1/3)) (* (pow y 2) (+ (* 1/2 (/ (sqrt 1/3) z)) (* (pow y 2) (+ (* -1/8 (/ (sqrt 1/3) (pow z 3))) (* 1/16 (/ (* (pow y 2) (sqrt 1/3)) (pow z 5))))))))
(* y (sqrt 1/3))
(* y (+ (sqrt 1/3) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2)))))
(* y (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow z 4) (sqrt 1/3)) (pow y 4))) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2))))))
(* y (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow z 4) (sqrt 1/3)) (pow y 4))) (+ (* 1/16 (/ (* (pow z 6) (sqrt 1/3)) (pow y 6))) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2)))))))
(* -1 (* y (sqrt 1/3)))
(* -1 (* y (+ (sqrt 1/3) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2))))))
(* -1 (* y (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow z 4) (sqrt 1/3)) (pow y 4))) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2)))))))
(* -1 (* y (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow z 4) (sqrt 1/3)) (pow y 4))) (+ (* 1/16 (/ (* (pow z 6) (sqrt 1/3)) (pow y 6))) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2))))))))
(* y (sqrt 1/3))
(+ (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) y)) (* y (sqrt 1/3)))
(+ (* y (sqrt 1/3)) (* (pow z 2) (+ (* -1/8 (/ (* (pow z 2) (sqrt 1/3)) (pow y 3))) (* 1/2 (/ (sqrt 1/3) y)))))
(+ (* y (sqrt 1/3)) (* (pow z 2) (+ (* 1/2 (/ (sqrt 1/3) y)) (* (pow z 2) (+ (* -1/8 (/ (sqrt 1/3) (pow y 3))) (* 1/16 (/ (* (pow z 2) (sqrt 1/3)) (pow y 5))))))))
(* z (sqrt 1/3))
(* z (+ (sqrt 1/3) (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2)))))
(* z (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow y 4) (sqrt 1/3)) (pow z 4))) (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2))))))
(* z (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow y 4) (sqrt 1/3)) (pow z 4))) (+ (* 1/16 (/ (* (pow y 6) (sqrt 1/3)) (pow z 6))) (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2)))))))
(* -1 (* z (sqrt 1/3)))
(* -1 (* z (+ (sqrt 1/3) (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2))))))
(* -1 (* z (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow y 4) (sqrt 1/3)) (pow z 4))) (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2)))))))
(* -1 (* z (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow y 4) (sqrt 1/3)) (pow z 4))) (+ (* 1/16 (/ (* (pow y 6) (sqrt 1/3)) (pow z 6))) (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2))))))))
(* 1/3 (pow z 2))
(+ (* 1/3 (pow y 2)) (* 1/3 (pow z 2)))
(+ (* 1/3 (pow y 2)) (* 1/3 (pow z 2)))
(+ (* 1/3 (pow y 2)) (* 1/3 (pow z 2)))
(* 1/3 (pow y 2))
(* (pow y 2) (+ 1/3 (* 1/3 (/ (pow z 2) (pow y 2)))))
(* (pow y 2) (+ 1/3 (* 1/3 (/ (pow z 2) (pow y 2)))))
(* (pow y 2) (+ 1/3 (* 1/3 (/ (pow z 2) (pow y 2)))))
(* 1/3 (pow y 2))
(* (pow y 2) (+ 1/3 (* 1/3 (/ (pow z 2) (pow y 2)))))
(* (pow y 2) (+ 1/3 (* 1/3 (/ (pow z 2) (pow y 2)))))
(* (pow y 2) (+ 1/3 (* 1/3 (/ (pow z 2) (pow y 2)))))
(* 1/3 (pow y 2))
(+ (* 1/3 (pow y 2)) (* 1/3 (pow z 2)))
(+ (* 1/3 (pow y 2)) (* 1/3 (pow z 2)))
(+ (* 1/3 (pow y 2)) (* 1/3 (pow z 2)))
(* 1/3 (pow z 2))
(* (pow z 2) (+ 1/3 (* 1/3 (/ (pow y 2) (pow z 2)))))
(* (pow z 2) (+ 1/3 (* 1/3 (/ (pow y 2) (pow z 2)))))
(* (pow z 2) (+ 1/3 (* 1/3 (/ (pow y 2) (pow z 2)))))
(* 1/3 (pow z 2))
(* (pow z 2) (+ 1/3 (* 1/3 (/ (pow y 2) (pow z 2)))))
(* (pow z 2) (+ 1/3 (* 1/3 (/ (pow y 2) (pow z 2)))))
(* (pow z 2) (+ 1/3 (* 1/3 (/ (pow y 2) (pow z 2)))))
(pow z 2)
(+ (pow y 2) (pow z 2))
(+ (pow y 2) (pow z 2))
(+ (pow y 2) (pow z 2))
(pow y 2)
(* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2))))
(pow y 2)
(+ (pow y 2) (pow z 2))
(+ (pow y 2) (pow z 2))
(+ (pow y 2) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 (/ (pow y 2) (pow z 2))))
(* (pow z 2) (+ 1 (/ (pow y 2) (pow z 2))))
(* (pow z 2) (+ 1 (/ (pow y 2) (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ (pow y 2) (pow z 2))))
(* (pow z 2) (+ 1 (/ (pow y 2) (pow z 2))))
(* (pow z 2) (+ 1 (/ (pow y 2) (pow z 2))))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* z (sqrt 1/3))
(* z (sqrt 1/3))
(* z (sqrt 1/3))
(* z (sqrt 1/3))
(* z (sqrt 1/3))
(* z (sqrt 1/3))
(* z (sqrt 1/3))
(* z (sqrt 1/3))
(* -1 (* z (sqrt 1/3)))
(* -1 (* z (sqrt 1/3)))
(* -1 (* z (sqrt 1/3)))
(* -1 (* z (sqrt 1/3)))
(* 1/3 (pow z 2))
(* 1/3 (pow z 2))
(* 1/3 (pow z 2))
(* 1/3 (pow z 2))
(* 1/3 (pow z 2))
(* 1/3 (pow z 2))
(* 1/3 (pow z 2))
(* 1/3 (pow z 2))
(* 1/3 (pow z 2))
(* 1/3 (pow z 2))
(* 1/3 (pow z 2))
(* 1/3 (pow z 2))
(* (sqrt 1/3) (sqrt (+ (pow x 2) (pow y 2))))
(+ (* 1/2 (* (* (pow z 2) (sqrt 1/3)) (sqrt (/ 1 (+ (pow x 2) (pow y 2)))))) (* (sqrt 1/3) (sqrt (+ (pow x 2) (pow y 2)))))
(+ (* (sqrt 1/3) (sqrt (+ (pow x 2) (pow y 2)))) (* (pow z 2) (+ (* -1/8 (* (* (pow z 2) (sqrt 1/3)) (sqrt (/ 1 (pow (+ (pow x 2) (pow y 2)) 3))))) (* 1/2 (* (sqrt 1/3) (sqrt (/ 1 (+ (pow x 2) (pow y 2)))))))))
(+ (* (sqrt 1/3) (sqrt (+ (pow x 2) (pow y 2)))) (* (pow z 2) (+ (* 1/2 (* (sqrt 1/3) (sqrt (/ 1 (+ (pow x 2) (pow y 2)))))) (* (pow z 2) (+ (* -1/8 (* (sqrt 1/3) (sqrt (/ 1 (pow (+ (pow x 2) (pow y 2)) 3))))) (* 1/16 (* (* (pow z 2) (sqrt 1/3)) (sqrt (/ 1 (pow (+ (pow x 2) (pow y 2)) 5))))))))))
(* z (sqrt 1/3))
(* z (+ (sqrt 1/3) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow y 2))) (pow z 2)))))
(* z (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow y 2)) 2)) (pow z 4))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow y 2))) (pow z 2))))))
(* z (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow y 2)) 2)) (pow z 4))) (+ (* 1/16 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow y 2)) 3)) (pow z 6))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow y 2))) (pow z 2)))))))
(* -1 (* z (sqrt 1/3)))
(* -1 (* z (+ (sqrt 1/3) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow y 2))) (pow z 2))))))
(* -1 (* z (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow y 2)) 2)) (pow z 4))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow y 2))) (pow z 2)))))))
(* -1 (* z (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow y 2)) 2)) (pow z 4))) (+ (* 1/16 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow y 2)) 3)) (pow z 6))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow y 2))) (pow z 2))))))))
(* (sqrt 1/3) (sqrt (+ (pow y 2) (pow z 2))))
(+ (* 1/2 (* (* (pow x 2) (sqrt 1/3)) (sqrt (/ 1 (+ (pow y 2) (pow z 2)))))) (* (sqrt 1/3) (sqrt (+ (pow y 2) (pow z 2)))))
(+ (* (sqrt 1/3) (sqrt (+ (pow y 2) (pow z 2)))) (* (pow x 2) (+ (* -1/8 (* (* (pow x 2) (sqrt 1/3)) (sqrt (/ 1 (pow (+ (pow y 2) (pow z 2)) 3))))) (* 1/2 (* (sqrt 1/3) (sqrt (/ 1 (+ (pow y 2) (pow z 2)))))))))
(+ (* (sqrt 1/3) (sqrt (+ (pow y 2) (pow z 2)))) (* (pow x 2) (+ (* 1/2 (* (sqrt 1/3) (sqrt (/ 1 (+ (pow y 2) (pow z 2)))))) (* (pow x 2) (+ (* -1/8 (* (sqrt 1/3) (sqrt (/ 1 (pow (+ (pow y 2) (pow z 2)) 3))))) (* 1/16 (* (* (pow x 2) (sqrt 1/3)) (sqrt (/ 1 (pow (+ (pow y 2) (pow z 2)) 5))))))))))
(* x (sqrt 1/3))
(* x (+ (sqrt 1/3) (* 1/2 (/ (* (sqrt 1/3) (+ (pow y 2) (pow z 2))) (pow x 2)))))
(* x (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow y 2) (pow z 2)) 2)) (pow x 4))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow y 2) (pow z 2))) (pow x 2))))))
(* x (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow y 2) (pow z 2)) 2)) (pow x 4))) (+ (* 1/16 (/ (* (sqrt 1/3) (pow (+ (pow y 2) (pow z 2)) 3)) (pow x 6))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow y 2) (pow z 2))) (pow x 2)))))))
(* -1 (* x (sqrt 1/3)))
(* -1 (* x (+ (sqrt 1/3) (* 1/2 (/ (* (sqrt 1/3) (+ (pow y 2) (pow z 2))) (pow x 2))))))
(* -1 (* x (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow y 2) (pow z 2)) 2)) (pow x 4))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow y 2) (pow z 2))) (pow x 2)))))))
(* -1 (* x (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow y 2) (pow z 2)) 2)) (pow x 4))) (+ (* 1/16 (/ (* (sqrt 1/3) (pow (+ (pow y 2) (pow z 2)) 3)) (pow x 6))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow y 2) (pow z 2))) (pow x 2))))))))
(* (sqrt 1/3) (sqrt (+ (pow x 2) (pow z 2))))
(+ (* 1/2 (* (* (pow y 2) (sqrt 1/3)) (sqrt (/ 1 (+ (pow x 2) (pow z 2)))))) (* (sqrt 1/3) (sqrt (+ (pow x 2) (pow z 2)))))
(+ (* (sqrt 1/3) (sqrt (+ (pow x 2) (pow z 2)))) (* (pow y 2) (+ (* -1/8 (* (* (pow y 2) (sqrt 1/3)) (sqrt (/ 1 (pow (+ (pow x 2) (pow z 2)) 3))))) (* 1/2 (* (sqrt 1/3) (sqrt (/ 1 (+ (pow x 2) (pow z 2)))))))))
(+ (* (sqrt 1/3) (sqrt (+ (pow x 2) (pow z 2)))) (* (pow y 2) (+ (* 1/2 (* (sqrt 1/3) (sqrt (/ 1 (+ (pow x 2) (pow z 2)))))) (* (pow y 2) (+ (* -1/8 (* (sqrt 1/3) (sqrt (/ 1 (pow (+ (pow x 2) (pow z 2)) 3))))) (* 1/16 (* (* (pow y 2) (sqrt 1/3)) (sqrt (/ 1 (pow (+ (pow x 2) (pow z 2)) 5))))))))))
(* y (sqrt 1/3))
(* y (+ (sqrt 1/3) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) (pow y 2)))))
(* y (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow z 2)) 2)) (pow y 4))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) (pow y 2))))))
(* y (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow z 2)) 2)) (pow y 4))) (+ (* 1/16 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow z 2)) 3)) (pow y 6))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) (pow y 2)))))))
(* -1 (* y (sqrt 1/3)))
(* -1 (* y (+ (sqrt 1/3) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) (pow y 2))))))
(* -1 (* y (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow z 2)) 2)) (pow y 4))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) (pow y 2)))))))
(* -1 (* y (+ (sqrt 1/3) (+ (* -1/8 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow z 2)) 2)) (pow y 4))) (+ (* 1/16 (/ (* (sqrt 1/3) (pow (+ (pow x 2) (pow z 2)) 3)) (pow y 6))) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) (pow y 2))))))))
(* 1/3 (+ (pow x 2) (pow y 2)))
(+ (* 1/3 (+ (pow x 2) (pow y 2))) (* 1/3 (pow z 2)))
(+ (* 1/3 (+ (pow x 2) (pow y 2))) (* 1/3 (pow z 2)))
(+ (* 1/3 (+ (pow x 2) (pow y 2))) (* 1/3 (pow z 2)))
(* 1/3 (pow z 2))
(* (pow z 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))
(* (pow z 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))
(* (pow z 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))
(* 1/3 (pow z 2))
(* (pow z 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))
(* (pow z 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))
(* (pow z 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))
(* 1/3 (+ (pow y 2) (pow z 2)))
(+ (* 1/3 (+ (pow y 2) (pow z 2))) (* 1/3 (pow x 2)))
(+ (* 1/3 (+ (pow y 2) (pow z 2))) (* 1/3 (pow x 2)))
(+ (* 1/3 (+ (pow y 2) (pow z 2))) (* 1/3 (pow x 2)))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/3 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))
(* (pow x 2) (+ 1/3 (* 1/3 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))
(* (pow x 2) (+ 1/3 (* 1/3 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/3 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))
(* (pow x 2) (+ 1/3 (* 1/3 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))
(* (pow x 2) (+ 1/3 (* 1/3 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))
(* 1/3 (+ (pow x 2) (pow z 2)))
(+ (* 1/3 (+ (pow x 2) (pow z 2))) (* 1/3 (pow y 2)))
(+ (* 1/3 (+ (pow x 2) (pow z 2))) (* 1/3 (pow y 2)))
(+ (* 1/3 (+ (pow x 2) (pow z 2))) (* 1/3 (pow y 2)))
(* 1/3 (pow y 2))
(* (pow y 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))
(* (pow y 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))
(* (pow y 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))
(* 1/3 (pow y 2))
(* (pow y 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))
(* (pow y 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))
(* (pow y 2) (+ 1/3 (* 1/3 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (+ (pow y 2) (pow z 2)))
(+ (pow x 2) (+ (pow y 2) (pow z 2)))
(+ (pow x 2) (+ (pow y 2) (pow z 2)))
(pow z 2)
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2)))))
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2)))))
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2)))))
(pow z 2)
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2)))))
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2)))))
(* (pow z 2) (+ 1 (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2)))))
(+ (pow y 2) (pow z 2))
(+ (pow x 2) (+ (pow y 2) (pow z 2)))
(+ (pow x 2) (+ (pow y 2) (pow z 2)))
(+ (pow x 2) (+ (pow y 2) (pow z 2)))
(pow x 2)
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))
(+ (pow x 2) (pow z 2))
(+ (pow x 2) (+ (pow y 2) (pow z 2)))
(+ (pow x 2) (+ (pow y 2) (pow z 2)))
(+ (pow x 2) (+ (pow y 2) (pow z 2)))
(pow y 2)
(* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))
(* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))
(* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))
(pow y 2)
(* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))
(* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))
(* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))
(pow y 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(pow x 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)

Outputs
(* z (sqrt 1/3))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(* z (sqrt 1/3))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(* z (sqrt 1/3))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(* z (sqrt 1/3))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(* z (sqrt 1/3))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(* z (sqrt 1/3))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(* z (sqrt 1/3))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(* z (sqrt 1/3))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(* z (sqrt 1/3))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(* z (sqrt 1/3))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(* z (sqrt 1/3))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(* z (sqrt 1/3))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(* z (sqrt 1/3))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(* z (sqrt 1/3))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(* z (sqrt 1/3))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(* z (sqrt 1/3))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(* z (sqrt 1/3))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(* z (sqrt 1/3))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(* z (sqrt 1/3))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(* z (sqrt 1/3))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(* -1 (* z (sqrt 1/3)))
(neg.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(* -1 (* z (sqrt 1/3)))
(neg.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(* -1 (* z (sqrt 1/3)))
(neg.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(* -1 (* z (sqrt 1/3)))
(neg.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(* 1/3 (pow z 2))
(.f64 #s(literal 1/3 binary64) (.f64 z z))
(* 1/3 (pow z 2))
(.f64 #s(literal 1/3 binary64) (.f64 z z))
(* 1/3 (pow z 2))
(.f64 #s(literal 1/3 binary64) (.f64 z z))
(* 1/3 (pow z 2))
(.f64 #s(literal 1/3 binary64) (.f64 z z))
(* 1/3 (pow z 2))
(.f64 #s(literal 1/3 binary64) (.f64 z z))
(* 1/3 (pow z 2))
(.f64 #s(literal 1/3 binary64) (.f64 z z))
(* 1/3 (pow z 2))
(.f64 #s(literal 1/3 binary64) (.f64 z z))
(* 1/3 (pow z 2))
(.f64 #s(literal 1/3 binary64) (.f64 z z))
(* 1/3 (pow z 2))
(.f64 #s(literal 1/3 binary64) (.f64 z z))
(* 1/3 (pow z 2))
(.f64 #s(literal 1/3 binary64) (.f64 z z))
(* 1/3 (pow z 2))
(.f64 #s(literal 1/3 binary64) (.f64 z z))
(* 1/3 (pow z 2))
(.f64 #s(literal 1/3 binary64) (.f64 z z))
(* 1/3 z)
(*.f64 z #s(literal 1/3 binary64))
(* 1/3 z)
(*.f64 z #s(literal 1/3 binary64))
(* 1/3 z)
(*.f64 z #s(literal 1/3 binary64))
(* 1/3 z)
(*.f64 z #s(literal 1/3 binary64))
(* 1/3 z)
(*.f64 z #s(literal 1/3 binary64))
(* 1/3 z)
(*.f64 z #s(literal 1/3 binary64))
(* 1/3 z)
(*.f64 z #s(literal 1/3 binary64))
(* 1/3 z)
(*.f64 z #s(literal 1/3 binary64))
(* 1/3 z)
(*.f64 z #s(literal 1/3 binary64))
(* 1/3 z)
(*.f64 z #s(literal 1/3 binary64))
(* 1/3 z)
(*.f64 z #s(literal 1/3 binary64))
(* 1/3 z)
(*.f64 z #s(literal 1/3 binary64))
(* z (sqrt 1/3))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(+ (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) z)) (* z (sqrt 1/3)))
(fma.f64 z (sqrt.f64 #s(literal 1/3 binary64)) (.f64 (.f64 y y) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))))
(+ (* z (sqrt 1/3)) (* (pow y 2) (+ (* -1/8 (/ (* (pow y 2) (sqrt 1/3)) (pow z 3))) (* 1/2 (/ (sqrt 1/3) z)))))
(fma.f64 z (sqrt.f64 #s(literal 1/3 binary64)) (.f64 (.f64 y y) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal -1/8 binary64)) (.f64 y y)) (.f64 z (*.f64 z z))))))
(+ (* z (sqrt 1/3)) (* (pow y 2) (+ (* 1/2 (/ (sqrt 1/3) z)) (* (pow y 2) (+ (* -1/8 (/ (sqrt 1/3) (pow z 3))) (* 1/16 (/ (* (pow y 2) (sqrt 1/3)) (pow z 5))))))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/16 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal -1/8 binary64)) (.f64 z (.f64 z z)))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(* y (sqrt 1/3))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)
(* y (+ (sqrt 1/3) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2)))))
(.f64 y (fma.f64 (.f64 z z) (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) (.f64 y y)) (sqrt.f64 #s(literal 1/3 binary64))))
(* y (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow z 4) (sqrt 1/3)) (pow y 4))) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2))))))
(.f64 y (fma.f64 (.f64 z z) (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) (.f64 y y)) (fma.f64 (.f64 (.f64 z z) (.f64 z z)) (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal -1/8 binary64)) (.f64 (.f64 y y) (*.f64 y y))) (sqrt.f64 #s(literal 1/3 binary64)))))
(* y (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow z 4) (sqrt 1/3)) (pow y 4))) (+ (* 1/16 (/ (* (pow z 6) (sqrt 1/3)) (pow y 6))) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2)))))))
(.f64 y (fma.f64 (.f64 (.f64 z z) (.f64 z z)) (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal -1/8 binary64)) (.f64 (.f64 y y) (.f64 y y))) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/16 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (.f64 z z) (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) (.f64 y y)) (sqrt.f64 #s(literal 1/3 binary64))))))
(* -1 (* y (sqrt 1/3)))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y))
(* -1 (* y (+ (sqrt 1/3) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2))))))
(.f64 (fma.f64 (.f64 z z) (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) (.f64 y y)) (sqrt.f64 #s(literal 1/3 binary64))) (neg.f64 y))
(* -1 (* y (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow z 4) (sqrt 1/3)) (pow y 4))) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2)))))))
(.f64 (fma.f64 (.f64 z z) (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) (.f64 y y)) (fma.f64 (.f64 (.f64 z z) (.f64 z z)) (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal -1/8 binary64)) (.f64 (.f64 y y) (*.f64 y y))) (sqrt.f64 #s(literal 1/3 binary64)))) (neg.f64 y))
(* -1 (* y (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow z 4) (sqrt 1/3)) (pow y 4))) (+ (* 1/16 (/ (* (pow z 6) (sqrt 1/3)) (pow y 6))) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2))))))))
(.f64 (fma.f64 (.f64 (.f64 z z) (.f64 z z)) (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal -1/8 binary64)) (.f64 (.f64 y y) (.f64 y y))) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/16 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (.f64 z z) (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) (.f64 y y)) (sqrt.f64 #s(literal 1/3 binary64))))) (neg.f64 y))
(* y (sqrt 1/3))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)
(+ (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) y)) (* y (sqrt 1/3)))
(fma.f64 (sqrt.f64 #s(literal 1/3 binary64)) y (.f64 (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) y) (.f64 #s(literal 1/2 binary64) (*.f64 z z))))
(+ (* y (sqrt 1/3)) (* (pow z 2) (+ (* -1/8 (/ (* (pow z 2) (sqrt 1/3)) (pow y 3))) (* 1/2 (/ (sqrt 1/3) y)))))
(fma.f64 (.f64 z z) (fma.f64 z (/.f64 (.f64 z (.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal -1/8 binary64))) (.f64 y (.f64 y y))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) y))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y))
(+ (* y (sqrt 1/3)) (* (pow z 2) (+ (* 1/2 (/ (sqrt 1/3) y)) (* (pow z 2) (+ (* -1/8 (/ (sqrt 1/3) (pow y 3))) (* 1/16 (/ (* (pow z 2) (sqrt 1/3)) (pow y 5))))))))
(fma.f64 (.f64 z z) (fma.f64 (.f64 z z) (fma.f64 (.f64 z z) (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/16 binary64)) (pow.f64 y #s(literal 5 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal -1/8 binary64)) (.f64 y (.f64 y y)))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) y))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y))
(* z (sqrt 1/3))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(* z (+ (sqrt 1/3) (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2)))))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 y y)) (.f64 z z)) (sqrt.f64 #s(literal 1/3 binary64))))
(* z (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow y 4) (sqrt 1/3)) (pow z 4))) (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2))))))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 y y)) (.f64 z z)) (fma.f64 (.f64 (.f64 y y) (.f64 y y)) (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal -1/8 binary64)) (.f64 (.f64 z z) (*.f64 z z))) (sqrt.f64 #s(literal 1/3 binary64)))))
(* z (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow y 4) (sqrt 1/3)) (pow z 4))) (+ (* 1/16 (/ (* (pow y 6) (sqrt 1/3)) (pow z 6))) (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2)))))))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 y y)) (.f64 z z)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/16 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (.f64 (.f64 y y) (.f64 y y)) (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal -1/8 binary64)) (.f64 (.f64 z z) (.f64 z z))) (sqrt.f64 #s(literal 1/3 binary64))))))
(* -1 (* z (sqrt 1/3)))
(neg.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(* -1 (* z (+ (sqrt 1/3) (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 y y)) (.f64 z z)) (sqrt.f64 #s(literal 1/3 binary64))) (neg.f64 z))
(* -1 (* z (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow y 4) (sqrt 1/3)) (pow z 4))) (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2)))))))
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(*.f64 x x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(.f64 (.f64 x x) (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(.f64 (.f64 x x) (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(.f64 (.f64 x x) (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(.f64 (.f64 x x) (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(.f64 (.f64 x x) (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(.f64 (.f64 x x) (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)))
(pow x 2)
(*.f64 x x)
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(.f64 (.f64 y y) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64)))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(.f64 (.f64 y y) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64)))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(.f64 (.f64 y y) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64)))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(.f64 (.f64 y y) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64)))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(.f64 (.f64 y y) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64)))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(.f64 (.f64 y y) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64)))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)

eval760.0ms (7.9%)

Memory: 2.0MiB live, 167.8MiB allocated
Compiler: Compiled 31 712 to 2 743 computations (91.4% saved)

prune136.0ms (1.4%)

Memory

-9.7MiB live, 269.8MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	1 144	5	1 149
Fresh	1	0	1
Picked	3	2	5
Done	0	0	0
Total	1 148	7	1 155

Accuracy

98.4%

Counts

1 155 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.3%	(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
▶	96.6%	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) z)
▶	96.6%	(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
✓	97.3%	(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
▶	42.5%	(sqrt.f64 (.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/3 binary64)))
▶	41.9%	(sqrt.f64 (.f64 (.f64 z z) #s(literal 1/3 binary64)))
✓	41.9%	(sqrt.f64 (.f64 z (.f64 z #s(literal 1/3 binary64))))

Compiler

Compiled 116 to 91 computations (21.6% saved)

simplify10.0ms (0.1%)

Memory

-21.9MiB live, 16.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
✓	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	320	(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))
✓	cost-diff	1600	(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
✓	cost-diff	0	(sqrt.f64 #s(literal 3 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) z)
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(fma.f64 z z (*.f64 y y))
✓	cost-diff	0	(.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/3 binary64))
✓	cost-diff	0	(sqrt.f64 (.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/3 binary64)))
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(.f64 (.f64 z z) #s(literal 1/3 binary64))
✓	cost-diff	0	(sqrt.f64 (.f64 (.f64 z z) #s(literal 1/3 binary64)))
✓	cost-diff	0	(sqrt.f64 #s(literal 3 binary64))
✓	cost-diff	0	(/.f64 z (sqrt.f64 #s(literal 3 binary64)))

Rules

126×	`-lowering-.f32`
126×	`-lowering-.f64`
64×	`associate-r`
42×	`associate-l`
40×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	91
1	35	89
2	50	89
3	87	89
4	123	89
5	127	89
0	127	86

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ z (sqrt 3))
z
(sqrt 3)
3
(sqrt (* (* z z) 1/3))
(* (* z z) 1/3)
(* z z)
z
1/3
(sqrt (* (+ (* z z) (* y y)) 1/3))
(* (+ (* z z) (* y y)) 1/3)
(+ (* z z) (* y y))
z
(* y y)
y
1/3
(* (/ 1 (sqrt 3)) z)
(/ 1 (sqrt 3))
1
(sqrt 3)
3
z
(* (sqrt z) (* (sqrt z) (/ 1 (sqrt 3))))
(sqrt z)
z
(* (sqrt z) (/ 1 (sqrt 3)))
(/ 1 (sqrt 3))
1
(sqrt 3)
3

Outputs
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
z
(sqrt 3)
(sqrt.f64 #s(literal 3 binary64))
3
#s(literal 3 binary64)
(sqrt (* (* z z) 1/3))
(sqrt.f64 (.f64 (.f64 z z) #s(literal 1/3 binary64)))
(* (* z z) 1/3)
(.f64 (.f64 z z) #s(literal 1/3 binary64))
(* z z)
(*.f64 z z)
z
1/3
#s(literal 1/3 binary64)
(sqrt (* (+ (* z z) (* y y)) 1/3))
(sqrt.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (.f64 y y))))
(* (+ (* z z) (* y y)) 1/3)
(.f64 #s(literal 1/3 binary64) (fma.f64 z z (.f64 y y)))
(+ (* z z) (* y y))
(fma.f64 z z (*.f64 y y))
z
(* y y)
(*.f64 y y)
y
1/3
#s(literal 1/3 binary64)
(* (/ 1 (sqrt 3)) z)
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ 1 (sqrt 3))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
1
#s(literal 1 binary64)
(sqrt 3)
(sqrt.f64 #s(literal 3 binary64))
3
#s(literal 3 binary64)
z
(* (sqrt z) (* (sqrt z) (/ 1 (sqrt 3))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(sqrt z)
(sqrt.f64 z)
z
(* (sqrt z) (/ 1 (sqrt 3)))
(/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64)))
(/ 1 (sqrt 3))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
1
#s(literal 1 binary64)
(sqrt 3)
(sqrt.f64 #s(literal 3 binary64))
3
#s(literal 3 binary64)

localize70.0ms (0.7%)

Memory

33.7MiB live, 154.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 #s(literal 3 binary64))
✓	accuracy	99.5%	(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
✓	accuracy	99.4%	(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))
✓	accuracy	98.4%	(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 3 binary64))
✓	accuracy	99.5%	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) z)
✓	accuracy	98.4%	(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
✓	accuracy	100.0%	(fma.f64 z z (*.f64 y y))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.8%	(.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/3 binary64))
✓	accuracy	42.5%	(sqrt.f64 (.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/3 binary64)))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.8%	(.f64 (.f64 z z) #s(literal 1/3 binary64))
✓	accuracy	42.5%	(sqrt.f64 (.f64 (.f64 z z) #s(literal 1/3 binary64)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 3 binary64))
✓	accuracy	99.4%	(/.f64 z (sqrt.f64 #s(literal 3 binary64)))

Samples

43.0ms

256×

valid

Compiler

Compiled 98 to 22 computations (77.6% saved)

Precisions

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

ival-mult: 9.0ms (33.5% of total)

ival-sqrt: 9.0ms (33.5% of total)

ival-div: 3.0ms (11.2% of total)

const: 3.0ms (11.2% of total)

ival-add: 1.0ms (3.7% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.1%)

Memory

-19.5MiB live, 19.0MiB allocated

Counts

14 → 180

Calls

Call 1

Inputs
#<alt (/ z (sqrt 3))>
#<alt (sqrt 3)>
#<alt (sqrt (* (* z z) 1/3))>
#<alt (* (* z z) 1/3)>
#<alt (* z z)>
#<alt (sqrt (* (+ (* z z) (* y y)) 1/3))>
#<alt (* (+ (* z z) (* y y)) 1/3)>
#<alt (+ (* z z) (* y y))>
#<alt (* y y)>
#<alt (* (/ 1 (sqrt 3)) z)>
#<alt (/ 1 (sqrt 3))>
#<alt (* (sqrt z) (* (sqrt z) (/ 1 (sqrt 3))))>
#<alt (* (sqrt z) (/ 1 (sqrt 3)))>
#<alt (sqrt z)>

Outputs
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* -1 (* z (sqrt 1/3)))>
#<alt (* -1 (* z (sqrt 1/3)))>
#<alt (* -1 (* z (sqrt 1/3)))>
#<alt (* -1 (* z (sqrt 1/3)))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 (pow z 2))>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (* y (sqrt 1/3))>
#<alt (+ (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) y)) (* y (sqrt 1/3)))>
#<alt (+ (* y (sqrt 1/3)) (* (pow z 2) (+ (* -1/8 (/ (* (pow z 2) (sqrt 1/3)) (pow y 3))) (* 1/2 (/ (sqrt 1/3) y)))))>
#<alt (+ (* y (sqrt 1/3)) (* (pow z 2) (+ (* 1/2 (/ (sqrt 1/3) y)) (* (pow z 2) (+ (* -1/8 (/ (sqrt 1/3) (pow y 3))) (* 1/16 (/ (* (pow z 2) (sqrt 1/3)) (pow y 5))))))))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (+ (sqrt 1/3) (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2)))))>
#<alt (* z (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow y 4) (sqrt 1/3)) (pow z 4))) (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2))))))>
#<alt (* z (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow y 4) (sqrt 1/3)) (pow z 4))) (+ (* 1/16 (/ (* (pow y 6) (sqrt 1/3)) (pow z 6))) (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2)))))))>
#<alt (* -1 (* z (sqrt 1/3)))>
#<alt (* -1 (* z (+ (sqrt 1/3) (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2))))))>
#<alt (* -1 (* z (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow y 4) (sqrt 1/3)) (pow z 4))) (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2)))))))>
#<alt (* -1 (* z (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow y 4) (sqrt 1/3)) (pow z 4))) (+ (* 1/16 (/ (* (pow y 6) (sqrt 1/3)) (pow z 6))) (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2))))))))>
#<alt (* z (sqrt 1/3))>
#<alt (+ (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) z)) (* z (sqrt 1/3)))>
#<alt (+ (* z (sqrt 1/3)) (* (pow y 2) (+ (* -1/8 (/ (* (pow y 2) (sqrt 1/3)) (pow z 3))) (* 1/2 (/ (sqrt 1/3) z)))))>
#<alt (+ (* z (sqrt 1/3)) (* (pow y 2) (+ (* 1/2 (/ (sqrt 1/3) z)) (* (pow y 2) (+ (* -1/8 (/ (sqrt 1/3) (pow z 3))) (* 1/16 (/ (* (pow y 2) (sqrt 1/3)) (pow z 5))))))))>
#<alt (* y (sqrt 1/3))>
#<alt (* y (+ (sqrt 1/3) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2)))))>
#<alt (* y (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow z 4) (sqrt 1/3)) (pow y 4))) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2))))))>
#<alt (* y (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow z 4) (sqrt 1/3)) (pow y 4))) (+ (* 1/16 (/ (* (pow z 6) (sqrt 1/3)) (pow y 6))) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2)))))))>
#<alt (* -1 (* y (sqrt 1/3)))>
#<alt (* -1 (* y (+ (sqrt 1/3) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2))))))>
#<alt (* -1 (* y (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow z 4) (sqrt 1/3)) (pow y 4))) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2)))))))>
#<alt (* -1 (* y (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow z 4) (sqrt 1/3)) (pow y 4))) (+ (* 1/16 (/ (* (pow z 6) (sqrt 1/3)) (pow y 6))) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2))))))))>
#<alt (* 1/3 (pow y 2))>
#<alt (+ (* 1/3 (pow y 2)) (* 1/3 (pow z 2)))>
#<alt (+ (* 1/3 (pow y 2)) (* 1/3 (pow z 2)))>
#<alt (+ (* 1/3 (pow y 2)) (* 1/3 (pow z 2)))>
#<alt (* 1/3 (pow z 2))>
#<alt (* (pow z 2) (+ 1/3 (* 1/3 (/ (pow y 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1/3 (* 1/3 (/ (pow y 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1/3 (* 1/3 (/ (pow y 2) (pow z 2)))))>
#<alt (* 1/3 (pow z 2))>
#<alt (* (pow z 2) (+ 1/3 (* 1/3 (/ (pow y 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1/3 (* 1/3 (/ (pow y 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1/3 (* 1/3 (/ (pow y 2) (pow z 2)))))>
#<alt (* 1/3 (pow z 2))>
#<alt (+ (* 1/3 (pow y 2)) (* 1/3 (pow z 2)))>
#<alt (+ (* 1/3 (pow y 2)) (* 1/3 (pow z 2)))>
#<alt (+ (* 1/3 (pow y 2)) (* 1/3 (pow z 2)))>
#<alt (* 1/3 (pow y 2))>
#<alt (* (pow y 2) (+ 1/3 (* 1/3 (/ (pow z 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/3 (* 1/3 (/ (pow z 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/3 (* 1/3 (/ (pow z 2) (pow y 2)))))>
#<alt (* 1/3 (pow y 2))>
#<alt (* (pow y 2) (+ 1/3 (* 1/3 (/ (pow z 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/3 (* 1/3 (/ (pow z 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/3 (* 1/3 (/ (pow z 2) (pow y 2)))))>
#<alt (pow y 2)>
#<alt (+ (pow y 2) (pow z 2))>
#<alt (+ (pow y 2) (pow z 2))>
#<alt (+ (pow y 2) (pow z 2))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ (pow y 2) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (pow y 2) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (pow y 2) (pow z 2))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ (pow y 2) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (pow y 2) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (pow y 2) (pow z 2))))>
#<alt (pow z 2)>
#<alt (+ (pow y 2) (pow z 2))>
#<alt (+ (pow y 2) (pow z 2))>
#<alt (+ (pow y 2) (pow z 2))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2))))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (* -1 (/ (* z (pow (sqrt -1) 2)) (sqrt 3)))>
#<alt (* -1 (/ (* z (pow (sqrt -1) 2)) (sqrt 3)))>
#<alt (* -1 (/ (* z (pow (sqrt -1) 2)) (sqrt 3)))>
#<alt (* -1 (/ (* z (pow (sqrt -1) 2)) (sqrt 3)))>
#<alt (* (sqrt z) (/ 1 (sqrt 3)))>
#<alt (* (sqrt z) (/ 1 (sqrt 3)))>
#<alt (* (sqrt z) (/ 1 (sqrt 3)))>
#<alt (* (sqrt z) (/ 1 (sqrt 3)))>
#<alt (* (sqrt z) (/ 1 (sqrt 3)))>
#<alt (* (sqrt z) (/ 1 (sqrt 3)))>
#<alt (* (sqrt z) (/ 1 (sqrt 3)))>
#<alt (* (sqrt z) (/ 1 (sqrt 3)))>
#<alt (* -1 (* (sqrt z) (/ (pow (sqrt -1) 2) (sqrt 3))))>
#<alt (* -1 (* (sqrt z) (/ (pow (sqrt -1) 2) (sqrt 3))))>
#<alt (* -1 (* (sqrt z) (/ (pow (sqrt -1) 2) (sqrt 3))))>
#<alt (* -1 (* (sqrt z) (/ (pow (sqrt -1) 2) (sqrt 3))))>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))>

Calls

45 calls:

Time	Variable		Point	Expression
3.0ms	z	@	-inf	(/ z (sqrt 3))
3.0ms	z	@	-inf	(* (sqrt z) (* (sqrt z) (/ 1 (sqrt 3))))
1.0ms	z	@	inf	(/ z (sqrt 3))
1.0ms	z	@	-inf	(* (sqrt z) (/ 1 (sqrt 3)))
1.0ms	z	@	0	(* (sqrt z) (/ 1 (sqrt 3)))

rewrite306.0ms (3.2%)

Memory

-6.1MiB live, 515.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 040×	`accelerator-lowering-fma.f32`
4 040×	`accelerator-lowering-fma.f64`
3 812×	`-lowering-.f32`
3 812×	`-lowering-.f64`
1 976×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	66
1	73	64
2	366	64
3	2684	64
0	8328	58

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 795

Calls

Call 1

Inputs
(/ z (sqrt 3))
(sqrt 3)
(sqrt (* (* z z) 1/3))
(* (* z z) 1/3)
(* z z)
(sqrt (* (+ (* z z) (* y y)) 1/3))
(* (+ (* z z) (* y y)) 1/3)
(+ (* z z) (* y y))
(* y y)
(* (/ 1 (sqrt 3)) z)
(/ 1 (sqrt 3))
(* (sqrt z) (* (sqrt z) (/ 1 (sqrt 3))))
(* (sqrt z) (/ 1 (sqrt 3)))
(sqrt z)

Outputs
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 z (*.f64 z #s(literal 1/3 binary64))))))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 z (sqrt.f64 #s(literal 1/3 binary64))))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 z (*.f64 z #s(literal 1/3 binary64))) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 z (.f64 z #s(literal 1/3 binary64))) (.f64 z (.f64 z #s(literal 1/3 binary64))))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 z (.f64 z #s(literal 1/3 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 z) (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (+.f64 (log.f64 z) (*.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 #s(literal 3 binary64)) #s(literal -1/2 binary64) (log.f64 z)))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 z) (.f64 (log.f64 (.f64 z #s(literal 1/3 binary64))) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 z) (fma.f64 (log.f64 #s(literal 3 binary64)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 z)))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 z) (fma.f64 #s(literal 1/2 binary64) (log.f64 z) (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal -1/2 binary64)))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 z) (-.f64 (.f64 #s(literal 1/2 binary64) (log.f64 z)) (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 3 binary64))))))
(exp.f64 (fma.f64 (log.f64 (.f64 z #s(literal 1/3 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 z))))
(exp.f64 (+.f64 (fma.f64 (log.f64 #s(literal 3 binary64)) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 z))) (.f64 #s(literal 1/2 binary64) (log.f64 z))))
(exp.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 z) (.f64 (log.f64 #s(literal 3 binary64)) #s(literal -1/2 binary64))) (.f64 #s(literal 1/2 binary64) (log.f64 z))))
(exp.f64 (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (log.f64 z)) (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (log.f64 z))))
(exp.f64 (fma.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64) (log.f64 z)))
(exp.f64 (fma.f64 (log.f64 (.f64 z (.f64 z #s(literal 1/3 binary64)))) #s(literal 1/4 binary64) (.f64 (log.f64 (.f64 z (*.f64 z #s(literal 1/3 binary64)))) #s(literal 1/4 binary64))))
(exp.f64 (-.f64 (log.f64 z) (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 3 binary64)))))
(exp.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (log.f64 z)) (-.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (log.f64 z)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) (neg.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(sqrt.f64 (.f64 z (.f64 z #s(literal 1/3 binary64))))
(sqrt.f64 (/.f64 (*.f64 z z) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 z (/.f64 #s(literal 3 binary64) z)))
(neg.f64 (neg.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 3 binary64))) z))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 z) (sqrt.f64 (/.f64 #s(literal 3 binary64) z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)))
(/.f64 (neg.f64 z) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) (neg.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) z)) #s(literal 3 binary64))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))) (.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) (neg.f64 z))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) (neg.f64 (.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))) (.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) (/.f64 z #s(literal -1 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) (/.f64 (neg.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(pow.f64 (.f64 z (.f64 z #s(literal 1/3 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal -1 binary64))
(pow.f64 (pow.f64 (.f64 z (.f64 z #s(literal 1/3 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 z (.f64 z #s(literal 1/3 binary64))) (.f64 z (*.f64 z #s(literal 1/3 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) (*.f64 z z)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (*.f64 z z) #s(literal 3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)) (sqrt.f64 z)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 z (.f64 z #s(literal 1/3 binary64)))))
(*.f64 z (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(.f64 z (.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64))))
(.f64 #s(literal 1 binary64) (.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) z)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (/.f64 z #s(literal 1 binary64)))
(.f64 (.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64))
(.f64 (sqrt.f64 z) (sqrt.f64 (.f64 z #s(literal 1/3 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 1/3 binary64))) (sqrt.f64 z))
(.f64 (sqrt.f64 (.f64 z #s(literal 1/3 binary64))) (/.f64 (sqrt.f64 z) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (.f64 z #s(literal 1/3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 3 binary64))) z))
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 z))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) #s(literal -1 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 z)) (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (*.f64 z #s(literal 1/3 binary64)))))
(.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (.f64 (sqrt.f64 z) (*.f64 z #s(literal 1/3 binary64)))))
(.f64 (pow.f64 (.f64 z (.f64 z #s(literal 1/3 binary64))) #s(literal 1/4 binary64)) (pow.f64 (.f64 z (*.f64 z #s(literal 1/3 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)) (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)) (.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)) z))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) z) #s(literal -1 binary64)))
(.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)) (pow.f64 (.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))
(.f64 (neg.f64 (.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal -1 binary64))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)))
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/2 binary64)))
(.f64 (.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64))) (*.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64))))
(.f64 (.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)) (sqrt.f64 z)) (*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64)) z)
(.f64 (.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (*.f64 z #s(literal 1/3 binary64))) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) z) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) z) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (sqrt.f64 z)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (sqrt.f64 z)) #s(literal -1 binary64)))
(.f64 (sqrt.f64 (.f64 (*.f64 z #s(literal 1/3 binary64)) (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 3 binary64))))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 #s(literal 3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 9 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(sqrt.f64 #s(literal 3 binary64))
(neg.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64))
(/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)))
(/.f64 (exp.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))))) (exp.f64 (log.f64 #s(literal -1 binary64))))
(pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 3 binary64)))
(*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 z (*.f64 z #s(literal 1/3 binary64))))))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 z (sqrt.f64 #s(literal 1/3 binary64))))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 z (*.f64 z #s(literal 1/3 binary64))) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 z (.f64 z #s(literal 1/3 binary64))) (.f64 z (.f64 z #s(literal 1/3 binary64))))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 z (.f64 z #s(literal 1/3 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 z) (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (+.f64 (log.f64 z) (*.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 #s(literal 3 binary64)) #s(literal -1/2 binary64) (log.f64 z)))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 z) (.f64 (log.f64 (.f64 z #s(literal 1/3 binary64))) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 z) (fma.f64 (log.f64 #s(literal 3 binary64)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 z)))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 z) (fma.f64 #s(literal 1/2 binary64) (log.f64 z) (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal -1/2 binary64)))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 z) (-.f64 (.f64 #s(literal 1/2 binary64) (log.f64 z)) (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 3 binary64))))))
(exp.f64 (fma.f64 (log.f64 (.f64 z #s(literal 1/3 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 z))))
(exp.f64 (+.f64 (fma.f64 (log.f64 #s(literal 3 binary64)) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 z))) (.f64 #s(literal 1/2 binary64) (log.f64 z))))
(exp.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 z) (.f64 (log.f64 #s(literal 3 binary64)) #s(literal -1/2 binary64))) (.f64 #s(literal 1/2 binary64) (log.f64 z))))
(exp.f64 (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (log.f64 z)) (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (log.f64 z))))
(exp.f64 (fma.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64) (log.f64 z)))
(exp.f64 (fma.f64 (log.f64 (.f64 z (.f64 z #s(literal 1/3 binary64)))) #s(literal 1/4 binary64) (.f64 (log.f64 (.f64 z (*.f64 z #s(literal 1/3 binary64)))) #s(literal 1/4 binary64))))
(exp.f64 (-.f64 (log.f64 z) (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 3 binary64)))))
(exp.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (log.f64 z)) (-.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (log.f64 z)))))
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(*.f64 (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) z) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (sqrt.f64 z)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (sqrt.f64 z)) #s(literal -1 binary64)))
(.f64 (sqrt.f64 (.f64 (*.f64 z #s(literal 1/3 binary64)) (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
(exp.f64 (.f64 (log.f64 (.f64 z #s(literal 1/3 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (fma.f64 (log.f64 #s(literal 3 binary64)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 z))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 z) (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (log.f64 z)) (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 3 binary64) z))) #s(literal -1 binary64)))
(exp.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (log.f64 z))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 z) (*.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 z))))
(exp.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (log.f64 z)))))
(sqrt.f64 (*.f64 z #s(literal 1/3 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 z)))
(neg.f64 (*.f64 (sqrt.f64 z) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(neg.f64 (/.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 3 binary64) z)))
(/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (sqrt.f64 (*.f64 z #s(literal 1/3 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 3 binary64) z))))
(/.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 #s(literal -3 binary64)))
(pow.f64 (*.f64 z #s(literal 1/3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 3 binary64) z)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 z #s(literal 1/3 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) z) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (sqrt.f64 z)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)) (sqrt.f64 (sqrt.f64 z))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 z #s(literal 1/3 binary64)) (*.f64 z #s(literal 1/3 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 z #s(literal 1/3 binary64)))) #s(literal 1/2 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 z #s(literal 1/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 z))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (sqrt.f64 z) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 1/3 binary64)))
(.f64 (sqrt.f64 (.f64 z #s(literal 1/3 binary64))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 z)) (/.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 3 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 z)) (.f64 (sqrt.f64 (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(.f64 (sqrt.f64 (sqrt.f64 z)) (pow.f64 (.f64 (sqrt.f64 z) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 z)) (pow.f64 (/.f64 (sqrt.f64 z) #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (.f64 (sqrt.f64 z) #s(literal 1/3 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (/.f64 (sqrt.f64 z) #s(literal 3 binary64))))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)) (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)) (.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)) (sqrt.f64 z)))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (sqrt.f64 z)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 z #s(literal 1/3 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z #s(literal 1/3 binary64)) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1 binary64)))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 z)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (sqrt.f64 z)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(.f64 (.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)) (sqrt.f64 (sqrt.f64 z))) (*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)) (sqrt.f64 (sqrt.f64 z))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 z)) (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) #s(literal -1 binary64))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (sqrt.f64 z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (sqrt.f64 z)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 z)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (sqrt.f64 z))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 z))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 z))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 z))) #s(literal -1 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 z)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 z) #s(literal 1/4 binary64) (*.f64 (log.f64 z) #s(literal 1/4 binary64))))
(fabs.f64 (sqrt.f64 z))
(fabs.f64 (neg.f64 (sqrt.f64 z)))
(sqrt.f64 z)
(pow.f64 z #s(literal 1/2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64))
(pow.f64 (.f64 z (.f64 z (*.f64 z z))) #s(literal 1/8 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 z))
(*.f64 #s(literal 1 binary64) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))
(.f64 (pow.f64 z #s(literal 1/8 binary64)) (pow.f64 (.f64 (sqrt.f64 z) (sqrt.f64 (sqrt.f64 z))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 z #s(literal 1/8 binary64)) (pow.f64 (.f64 z (sqrt.f64 z)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 z) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 z) (sqrt.f64 (sqrt.f64 z))) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 z (sqrt.f64 z)) #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 z)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (.f64 (sqrt.f64 z) (sqrt.f64 (sqrt.f64 z)))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 z) (sqrt.f64 (sqrt.f64 z)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))

simplify408.0ms (4.2%)

Memory

-0.2MiB live, 673.6MiB allocated

Algorithm

1×	egg-herbie

Rules

13 370×	`accelerator-lowering-fma.f32`
13 370×	`accelerator-lowering-fma.f64`
4 118×	`-lowering-.f32`
4 118×	`-lowering-.f64`
3 404×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	1332
1	412	1308
2	1380	1308
3	3934	1296
4	7250	1296
0	8236	1232

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(* z (sqrt 1/3))
(* z (sqrt 1/3))
(* z (sqrt 1/3))
(* z (sqrt 1/3))
(* z (sqrt 1/3))
(* z (sqrt 1/3))
(* z (sqrt 1/3))
(* z (sqrt 1/3))
(* -1 (* z (sqrt 1/3)))
(* -1 (* z (sqrt 1/3)))
(* -1 (* z (sqrt 1/3)))
(* -1 (* z (sqrt 1/3)))
(* 1/3 (pow z 2))
(* 1/3 (pow z 2))
(* 1/3 (pow z 2))
(* 1/3 (pow z 2))
(* 1/3 (pow z 2))
(* 1/3 (pow z 2))
(* 1/3 (pow z 2))
(* 1/3 (pow z 2))
(* 1/3 (pow z 2))
(* 1/3 (pow z 2))
(* 1/3 (pow z 2))
(* 1/3 (pow z 2))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* y (sqrt 1/3))
(+ (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) y)) (* y (sqrt 1/3)))
(+ (* y (sqrt 1/3)) (* (pow z 2) (+ (* -1/8 (/ (* (pow z 2) (sqrt 1/3)) (pow y 3))) (* 1/2 (/ (sqrt 1/3) y)))))
(+ (* y (sqrt 1/3)) (* (pow z 2) (+ (* 1/2 (/ (sqrt 1/3) y)) (* (pow z 2) (+ (* -1/8 (/ (sqrt 1/3) (pow y 3))) (* 1/16 (/ (* (pow z 2) (sqrt 1/3)) (pow y 5))))))))
(* z (sqrt 1/3))
(* z (+ (sqrt 1/3) (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2)))))
(* z (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow y 4) (sqrt 1/3)) (pow z 4))) (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2))))))
(* z (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow y 4) (sqrt 1/3)) (pow z 4))) (+ (* 1/16 (/ (* (pow y 6) (sqrt 1/3)) (pow z 6))) (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2)))))))
(* -1 (* z (sqrt 1/3)))
(* -1 (* z (+ (sqrt 1/3) (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2))))))
(* -1 (* z (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow y 4) (sqrt 1/3)) (pow z 4))) (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2)))))))
(* -1 (* z (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow y 4) (sqrt 1/3)) (pow z 4))) (+ (* 1/16 (/ (* (pow y 6) (sqrt 1/3)) (pow z 6))) (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2))))))))
(* z (sqrt 1/3))
(+ (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) z)) (* z (sqrt 1/3)))
(+ (* z (sqrt 1/3)) (* (pow y 2) (+ (* -1/8 (/ (* (pow y 2) (sqrt 1/3)) (pow z 3))) (* 1/2 (/ (sqrt 1/3) z)))))
(+ (* z (sqrt 1/3)) (* (pow y 2) (+ (* 1/2 (/ (sqrt 1/3) z)) (* (pow y 2) (+ (* -1/8 (/ (sqrt 1/3) (pow z 3))) (* 1/16 (/ (* (pow y 2) (sqrt 1/3)) (pow z 5))))))))
(* y (sqrt 1/3))
(* y (+ (sqrt 1/3) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2)))))
(* y (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow z 4) (sqrt 1/3)) (pow y 4))) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2))))))
(* y (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow z 4) (sqrt 1/3)) (pow y 4))) (+ (* 1/16 (/ (* (pow z 6) (sqrt 1/3)) (pow y 6))) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2)))))))
(* -1 (* y (sqrt 1/3)))
(* -1 (* y (+ (sqrt 1/3) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2))))))
(* -1 (* y (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow z 4) (sqrt 1/3)) (pow y 4))) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2)))))))
(* -1 (* y (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow z 4) (sqrt 1/3)) (pow y 4))) (+ (* 1/16 (/ (* (pow z 6) (sqrt 1/3)) (pow y 6))) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2))))))))
(* 1/3 (pow y 2))
(+ (* 1/3 (pow y 2)) (* 1/3 (pow z 2)))
(+ (* 1/3 (pow y 2)) (* 1/3 (pow z 2)))
(+ (* 1/3 (pow y 2)) (* 1/3 (pow z 2)))
(* 1/3 (pow z 2))
(* (pow z 2) (+ 1/3 (* 1/3 (/ (pow y 2) (pow z 2)))))
(* (pow z 2) (+ 1/3 (* 1/3 (/ (pow y 2) (pow z 2)))))
(* (pow z 2) (+ 1/3 (* 1/3 (/ (pow y 2) (pow z 2)))))
(* 1/3 (pow z 2))
(* (pow z 2) (+ 1/3 (* 1/3 (/ (pow y 2) (pow z 2)))))
(* (pow z 2) (+ 1/3 (* 1/3 (/ (pow y 2) (pow z 2)))))
(* (pow z 2) (+ 1/3 (* 1/3 (/ (pow y 2) (pow z 2)))))
(* 1/3 (pow z 2))
(+ (* 1/3 (pow y 2)) (* 1/3 (pow z 2)))
(+ (* 1/3 (pow y 2)) (* 1/3 (pow z 2)))
(+ (* 1/3 (pow y 2)) (* 1/3 (pow z 2)))
(* 1/3 (pow y 2))
(* (pow y 2) (+ 1/3 (* 1/3 (/ (pow z 2) (pow y 2)))))
(* (pow y 2) (+ 1/3 (* 1/3 (/ (pow z 2) (pow y 2)))))
(* (pow y 2) (+ 1/3 (* 1/3 (/ (pow z 2) (pow y 2)))))
(* 1/3 (pow y 2))
(* (pow y 2) (+ 1/3 (* 1/3 (/ (pow z 2) (pow y 2)))))
(* (pow y 2) (+ 1/3 (* 1/3 (/ (pow z 2) (pow y 2)))))
(* (pow y 2) (+ 1/3 (* 1/3 (/ (pow z 2) (pow y 2)))))
(pow y 2)
(+ (pow y 2) (pow z 2))
(+ (pow y 2) (pow z 2))
(+ (pow y 2) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 (/ (pow y 2) (pow z 2))))
(* (pow z 2) (+ 1 (/ (pow y 2) (pow z 2))))
(* (pow z 2) (+ 1 (/ (pow y 2) (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ (pow y 2) (pow z 2))))
(* (pow z 2) (+ 1 (/ (pow y 2) (pow z 2))))
(* (pow z 2) (+ 1 (/ (pow y 2) (pow z 2))))
(pow z 2)
(+ (pow y 2) (pow z 2))
(+ (pow y 2) (pow z 2))
(+ (pow y 2) (pow z 2))
(pow y 2)
(* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(* -1 (/ (* z (pow (sqrt -1) 2)) (sqrt 3)))
(* -1 (/ (* z (pow (sqrt -1) 2)) (sqrt 3)))
(* -1 (/ (* z (pow (sqrt -1) 2)) (sqrt 3)))
(* -1 (/ (* z (pow (sqrt -1) 2)) (sqrt 3)))
(* (sqrt z) (/ 1 (sqrt 3)))
(* (sqrt z) (/ 1 (sqrt 3)))
(* (sqrt z) (/ 1 (sqrt 3)))
(* (sqrt z) (/ 1 (sqrt 3)))
(* (sqrt z) (/ 1 (sqrt 3)))
(* (sqrt z) (/ 1 (sqrt 3)))
(* (sqrt z) (/ 1 (sqrt 3)))
(* (sqrt z) (/ 1 (sqrt 3)))
(* -1 (* (sqrt z) (/ (pow (sqrt -1) 2) (sqrt 3))))
(* -1 (* (sqrt z) (/ (pow (sqrt -1) 2) (sqrt 3))))
(* -1 (* (sqrt z) (/ (pow (sqrt -1) 2) (sqrt 3))))
(* -1 (* (sqrt z) (/ (pow (sqrt -1) 2) (sqrt 3))))
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))

Outputs
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(* z (sqrt 1/3))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(* z (sqrt 1/3))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(* z (sqrt 1/3))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(* z (sqrt 1/3))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(* z (sqrt 1/3))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(* z (sqrt 1/3))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(* z (sqrt 1/3))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(* z (sqrt 1/3))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(* -1 (* z (sqrt 1/3)))
(neg.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(* -1 (* z (sqrt 1/3)))
(neg.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(* -1 (* z (sqrt 1/3)))
(neg.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(* -1 (* z (sqrt 1/3)))
(neg.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(* 1/3 (pow z 2))
(.f64 z (.f64 z #s(literal 1/3 binary64)))
(* 1/3 (pow z 2))
(.f64 z (.f64 z #s(literal 1/3 binary64)))
(* 1/3 (pow z 2))
(.f64 z (.f64 z #s(literal 1/3 binary64)))
(* 1/3 (pow z 2))
(.f64 z (.f64 z #s(literal 1/3 binary64)))
(* 1/3 (pow z 2))
(.f64 z (.f64 z #s(literal 1/3 binary64)))
(* 1/3 (pow z 2))
(.f64 z (.f64 z #s(literal 1/3 binary64)))
(* 1/3 (pow z 2))
(.f64 z (.f64 z #s(literal 1/3 binary64)))
(* 1/3 (pow z 2))
(.f64 z (.f64 z #s(literal 1/3 binary64)))
(* 1/3 (pow z 2))
(.f64 z (.f64 z #s(literal 1/3 binary64)))
(* 1/3 (pow z 2))
(.f64 z (.f64 z #s(literal 1/3 binary64)))
(* 1/3 (pow z 2))
(.f64 z (.f64 z #s(literal 1/3 binary64)))
(* 1/3 (pow z 2))
(.f64 z (.f64 z #s(literal 1/3 binary64)))
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(* y (sqrt 1/3))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)
(+ (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) y)) (* y (sqrt 1/3)))
(fma.f64 (sqrt.f64 #s(literal 1/3 binary64)) y (.f64 z (.f64 z (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) y))))
(+ (* y (sqrt 1/3)) (* (pow z 2) (+ (* -1/8 (/ (* (pow z 2) (sqrt 1/3)) (pow y 3))) (* 1/2 (/ (sqrt 1/3) y)))))
(fma.f64 (.f64 z z) (.f64 (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) y) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 z z) #s(literal -1/8 binary64)) (.f64 y y)))) (.f64 (sqrt.f64 #s(literal 1/3 binary64)) y))
(+ (* y (sqrt 1/3)) (* (pow z 2) (+ (* 1/2 (/ (sqrt 1/3) y)) (* (pow z 2) (+ (* -1/8 (/ (sqrt 1/3) (pow y 3))) (* 1/16 (/ (* (pow z 2) (sqrt 1/3)) (pow y 5))))))))
(fma.f64 (.f64 z z) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) y) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 z z) #s(literal -1/8 binary64)) (.f64 y y))) (/.f64 (.f64 (.f64 z (.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) (.f64 (.f64 z z) #s(literal 1/16 binary64))) (pow.f64 y #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal 1/3 binary64)) y))
(* z (sqrt 1/3))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(* z (+ (sqrt 1/3) (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2)))))
(fma.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))) (.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(* z (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow y 4) (sqrt 1/3)) (pow z 4))) (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2))))))
(fma.f64 z (fma.f64 (.f64 (.f64 y y) (.f64 y y)) (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal -1/8 binary64)) (.f64 (.f64 z z) (.f64 z z))) (sqrt.f64 #s(literal 1/3 binary64))) (.f64 #s(literal 1 binary64) (.f64 y (.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))))))
(* z (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow y 4) (sqrt 1/3)) (pow z 4))) (+ (* 1/16 (/ (* (pow y 6) (sqrt 1/3)) (pow z 6))) (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2)))))))
(fma.f64 z (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 z z) (.f64 z z))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/16 binary64)) (pow.f64 z #s(literal 6 binary64))) (sqrt.f64 #s(literal 1/3 binary64)))) (.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))))))
(* -1 (* z (sqrt 1/3)))
(neg.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(* -1 (* z (+ (sqrt 1/3) (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2))))))
(-.f64 (.f64 #s(literal -1 binary64) (.f64 y (.f64 y (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))))) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(* -1 (* z (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow y 4) (sqrt 1/3)) (pow z 4))) (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2)))))))
(-.f64 (.f64 #s(literal -1 binary64) (.f64 y (.f64 y (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))))) (.f64 z (fma.f64 (.f64 (.f64 y y) (.f64 y y)) (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal -1/8 binary64)) (.f64 (.f64 z z) (.f64 z z))) (sqrt.f64 #s(literal 1/3 binary64)))))
(* -1 (* z (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow y 4) (sqrt 1/3)) (pow z 4))) (+ (* 1/16 (/ (* (pow y 6) (sqrt 1/3)) (pow z 6))) (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2))))))))
(fma.f64 (neg.f64 z) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 z z) (.f64 z z))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/16 binary64)) (pow.f64 z #s(literal 6 binary64))) (sqrt.f64 #s(literal 1/3 binary64)))) (.f64 #s(literal -1 binary64) (.f64 y (.f64 y (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))))))
(* z (sqrt 1/3))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(+ (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) z)) (* z (sqrt 1/3)))
(fma.f64 z (sqrt.f64 #s(literal 1/3 binary64)) (.f64 y (.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))))
(+ (* z (sqrt 1/3)) (* (pow y 2) (+ (* -1/8 (/ (* (pow y 2) (sqrt 1/3)) (pow z 3))) (* 1/2 (/ (sqrt 1/3) z)))))
(fma.f64 (.f64 y y) (.f64 (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 y y)) (.f64 z z)))) (.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(+ (* z (sqrt 1/3)) (* (pow y 2) (+ (* 1/2 (/ (sqrt 1/3) z)) (* (pow y 2) (+ (* -1/8 (/ (sqrt 1/3) (pow z 3))) (* 1/16 (/ (* (pow y 2) (sqrt 1/3)) (pow z 5))))))))
(fma.f64 y (.f64 y (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 y y)) (.f64 z z))) (/.f64 (.f64 (.f64 #s(literal 1/16 binary64) (.f64 y y)) (.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 y y))) (pow.f64 z #s(literal 5 binary64))))) (.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(* y (sqrt 1/3))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)
(* y (+ (sqrt 1/3) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2)))))
(fma.f64 (sqrt.f64 #s(literal 1/3 binary64)) y (.f64 #s(literal 1 binary64) (.f64 z (.f64 z (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) y)))))
(* y (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow z 4) (sqrt 1/3)) (pow y 4))) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2))))))
(fma.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 (.f64 z z) (.f64 z z))) (.f64 (.f64 y y) (.f64 y y))) (sqrt.f64 #s(literal 1/3 binary64))) (.f64 #s(literal 1 binary64) (.f64 z (.f64 z (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) y)))))
(* y (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow z 4) (sqrt 1/3)) (pow y 4))) (+ (* 1/16 (/ (* (pow z 6) (sqrt 1/3)) (pow y 6))) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2)))))))
(.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 (.f64 z z) (.f64 z z))) (.f64 (.f64 y y) (.f64 y y))) (fma.f64 z (/.f64 (.f64 z (.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64))) (.f64 y y)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))) (sqrt.f64 #s(literal 1/3 binary64))))))
(* -1 (* y (sqrt 1/3)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 y))
(* -1 (* y (+ (sqrt 1/3) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2))))))
(-.f64 (.f64 #s(literal -1 binary64) (.f64 z (.f64 z (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) y)))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y))
(* -1 (* y (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow z 4) (sqrt 1/3)) (pow y 4))) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2)))))))
(.f64 y (-.f64 (.f64 (/.f64 (.f64 z (.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) (.f64 y y)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 (.f64 z z) (.f64 z z))) (.f64 (.f64 y y) (.f64 y y))) (sqrt.f64 #s(literal 1/3 binary64)))))
(* -1 (* y (+ (sqrt 1/3) (+ (* -1/8 (/ (* (pow z 4) (sqrt 1/3)) (pow y 4))) (+ (* 1/16 (/ (* (pow z 6) (sqrt 1/3)) (pow y 6))) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2))))))))
(fma.f64 y (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/16 binary64) (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 (.f64 z z) (.f64 z z))) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1/8 binary64) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))) (.f64 #s(literal -1 binary64) (.f64 z (.f64 z (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) y)))))
(* 1/3 (pow y 2))
(.f64 #s(literal 1/3 binary64) (.f64 y y))
(+ (* 1/3 (pow y 2)) (* 1/3 (pow z 2)))
(.f64 #s(literal 1/3 binary64) (fma.f64 z z (.f64 y y)))
(+ (* 1/3 (pow y 2)) (* 1/3 (pow z 2)))
(.f64 #s(literal 1/3 binary64) (fma.f64 z z (.f64 y y)))
(+ (* 1/3 (pow y 2)) (* 1/3 (pow z 2)))
(.f64 #s(literal 1/3 binary64) (fma.f64 z z (.f64 y y)))
(* 1/3 (pow z 2))
(.f64 z (.f64 z #s(literal 1/3 binary64)))
(* (pow z 2) (+ 1/3 (* 1/3 (/ (pow y 2) (pow z 2)))))
(.f64 #s(literal 1/3 binary64) (fma.f64 z z (.f64 y y)))
(* (pow z 2) (+ 1/3 (* 1/3 (/ (pow y 2) (pow z 2)))))
(.f64 #s(literal 1/3 binary64) (fma.f64 z z (.f64 y y)))
(* (pow z 2) (+ 1/3 (* 1/3 (/ (pow y 2) (pow z 2)))))
(.f64 #s(literal 1/3 binary64) (fma.f64 z z (.f64 y y)))
(* 1/3 (pow z 2))
(.f64 z (.f64 z #s(literal 1/3 binary64)))
(* (pow z 2) (+ 1/3 (* 1/3 (/ (pow y 2) (pow z 2)))))
(.f64 #s(literal 1/3 binary64) (fma.f64 z z (.f64 y y)))
(* (pow z 2) (+ 1/3 (* 1/3 (/ (pow y 2) (pow z 2)))))
(.f64 #s(literal 1/3 binary64) (fma.f64 z z (.f64 y y)))
(* (pow z 2) (+ 1/3 (* 1/3 (/ (pow y 2) (pow z 2)))))
(.f64 #s(literal 1/3 binary64) (fma.f64 z z (.f64 y y)))
(* 1/3 (pow z 2))
(.f64 z (.f64 z #s(literal 1/3 binary64)))
(+ (* 1/3 (pow y 2)) (* 1/3 (pow z 2)))
(.f64 #s(literal 1/3 binary64) (fma.f64 z z (.f64 y y)))
(+ (* 1/3 (pow y 2)) (* 1/3 (pow z 2)))
(.f64 #s(literal 1/3 binary64) (fma.f64 z z (.f64 y y)))
(+ (* 1/3 (pow y 2)) (* 1/3 (pow z 2)))
(.f64 #s(literal 1/3 binary64) (fma.f64 z z (.f64 y y)))
(* 1/3 (pow y 2))
(.f64 #s(literal 1/3 binary64) (.f64 y y))
(* (pow y 2) (+ 1/3 (* 1/3 (/ (pow z 2) (pow y 2)))))
(.f64 #s(literal 1/3 binary64) (fma.f64 z z (.f64 y y)))
(* (pow y 2) (+ 1/3 (* 1/3 (/ (pow z 2) (pow y 2)))))
(.f64 #s(literal 1/3 binary64) (fma.f64 z z (.f64 y y)))
(* (pow y 2) (+ 1/3 (* 1/3 (/ (pow z 2) (pow y 2)))))
(.f64 #s(literal 1/3 binary64) (fma.f64 z z (.f64 y y)))
(* 1/3 (pow y 2))
(.f64 #s(literal 1/3 binary64) (.f64 y y))
(* (pow y 2) (+ 1/3 (* 1/3 (/ (pow z 2) (pow y 2)))))
(.f64 #s(literal 1/3 binary64) (fma.f64 z z (.f64 y y)))
(* (pow y 2) (+ 1/3 (* 1/3 (/ (pow z 2) (pow y 2)))))
(.f64 #s(literal 1/3 binary64) (fma.f64 z z (.f64 y y)))
(* (pow y 2) (+ 1/3 (* 1/3 (/ (pow z 2) (pow y 2)))))
(.f64 #s(literal 1/3 binary64) (fma.f64 z z (.f64 y y)))
(pow y 2)
(*.f64 y y)
(+ (pow y 2) (pow z 2))
(fma.f64 z z (*.f64 y y))
(+ (pow y 2) (pow z 2))
(fma.f64 z z (*.f64 y y))
(+ (pow y 2) (pow z 2))
(fma.f64 z z (*.f64 y y))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ (pow y 2) (pow z 2))))
(fma.f64 z z (*.f64 y y))
(* (pow z 2) (+ 1 (/ (pow y 2) (pow z 2))))
(fma.f64 z z (*.f64 y y))
(* (pow z 2) (+ 1 (/ (pow y 2) (pow z 2))))
(fma.f64 z z (*.f64 y y))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ (pow y 2) (pow z 2))))
(fma.f64 z z (*.f64 y y))
(* (pow z 2) (+ 1 (/ (pow y 2) (pow z 2))))
(fma.f64 z z (*.f64 y y))
(* (pow z 2) (+ 1 (/ (pow y 2) (pow z 2))))
(fma.f64 z z (*.f64 y y))
(pow z 2)
(*.f64 z z)
(+ (pow y 2) (pow z 2))
(fma.f64 z z (*.f64 y y))
(+ (pow y 2) (pow z 2))
(fma.f64 z z (*.f64 y y))
(+ (pow y 2) (pow z 2))
(fma.f64 z z (*.f64 y y))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2))))
(fma.f64 z z (*.f64 y y))
(* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2))))
(fma.f64 z z (*.f64 y y))
(* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2))))
(fma.f64 z z (*.f64 y y))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2))))
(fma.f64 z z (*.f64 y y))
(* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2))))
(fma.f64 z z (*.f64 y y))
(* (pow y 2) (+ 1 (/ (pow z 2) (pow y 2))))
(fma.f64 z z (*.f64 y y))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(* -1 (/ (* z (pow (sqrt -1) 2)) (sqrt 3)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(* -1 (/ (* z (pow (sqrt -1) 2)) (sqrt 3)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(* -1 (/ (* z (pow (sqrt -1) 2)) (sqrt 3)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(* -1 (/ (* z (pow (sqrt -1) 2)) (sqrt 3)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(* (sqrt z) (/ 1 (sqrt 3)))
(/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64)))
(* (sqrt z) (/ 1 (sqrt 3)))
(/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64)))
(* (sqrt z) (/ 1 (sqrt 3)))
(/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64)))
(* (sqrt z) (/ 1 (sqrt 3)))
(/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64)))
(* (sqrt z) (/ 1 (sqrt 3)))
(/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64)))
(* (sqrt z) (/ 1 (sqrt 3)))
(/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64)))
(* (sqrt z) (/ 1 (sqrt 3)))
(/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64)))
(* (sqrt z) (/ 1 (sqrt 3)))
(/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64)))
(* -1 (* (sqrt z) (/ (pow (sqrt -1) 2) (sqrt 3))))
(/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64)))
(* -1 (* (sqrt z) (/ (pow (sqrt -1) 2) (sqrt 3))))
(/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64)))
(* -1 (* (sqrt z) (/ (pow (sqrt -1) 2) (sqrt 3))))
(/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64)))
(* -1 (* (sqrt z) (/ (pow (sqrt -1) 2) (sqrt 3))))
(/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64)))
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(sqrt.f64 z)
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(sqrt.f64 z)
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(sqrt.f64 z)
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(sqrt.f64 z)

eval160.0ms (1.7%)

Memory: -9.0MiB live, 202.0MiB allocated
Compiler: Compiled 17 704 to 1 875 computations (89.4% saved)

prune91.0ms (0.9%)

Memory

35.5MiB live, 190.2MiB allocated

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	1 096	3	1 099
Fresh	0	0	0
Picked	0	5	5
Done	0	2	2
Total	1 096	10	1 106

Accuracy

98.8%

Counts

1 106 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.8%	(fma.f64 z (sqrt.f64 #s(literal 1/3 binary64)) (.f64 y (.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))))
▶	97.8%	(fma.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))) (.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
▶	96.2%	(/.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
✓	97.3%	(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
✓	96.6%	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) z)
✓	96.6%	(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
✓	97.3%	(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
✓	42.5%	(sqrt.f64 (.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/3 binary64)))
✓	41.9%	(sqrt.f64 (.f64 (.f64 z z) #s(literal 1/3 binary64)))
✓	41.9%	(sqrt.f64 (.f64 z (.f64 z #s(literal 1/3 binary64))))

Compiler

Compiled 113 to 85 computations (24.8% saved)

simplify19.0ms (0.2%)

Memory

-18.1MiB live, 20.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 y (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
✓	cost-diff	0	(.f64 y (.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))))
✓	cost-diff	0	(sqrt.f64 #s(literal 1/3 binary64))
✓	cost-diff	960	(fma.f64 z (sqrt.f64 #s(literal 1/3 binary64)) (.f64 y (.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
✓	cost-diff	0	(.f64 y (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
✓	cost-diff	0	(.f64 y (.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))))
✓	cost-diff	1280	(fma.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))) (.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
✓	cost-diff	0	(sqrt.f64 #s(literal 3 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
✓	cost-diff	0	(/.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))

Rules

358×	`-lowering-.f32`
358×	`-lowering-.f64`
232×	`associate-l`
220×	`associate-r`
200×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	118
1	41	118
2	84	118
3	176	118
4	333	112
5	546	112
6	575	112
7	580	112
8	580	112
0	580	110

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize72.0ms (0.7%)

Memory

15.4MiB live, 132.9MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 y (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
✓	accuracy	99.6%	(.f64 y (.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))))
✓	accuracy	99.5%	(fma.f64 z (sqrt.f64 #s(literal 1/3 binary64)) (.f64 y (.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))))
✓	accuracy	99.4%	(/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
✓	accuracy	99.7%	(.f64 y (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
✓	accuracy	99.6%	(.f64 y (.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))))
✓	accuracy	99.5%	(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
✓	accuracy	99.4%	(/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
✓	accuracy	100.0%	(sqrt.f64 #s(literal 3 binary64))
✓	accuracy	99.4%	(/.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
✓	accuracy	98.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))
✓	accuracy	98.4%	(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))

Samples

44.0ms

256×

valid

Compiler

Compiled 128 to 22 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 9.0ms (31.9% of total)

ival-div: 7.0ms (24.8% of total)

const: 5.0ms (17.7% of total)

ival-sqrt: 5.0ms (17.7% of total)

ival-add: 2.0ms (7.1% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

-20.8MiB live, 17.6MiB allocated

Counts

12 → 144

Calls

Call 1

Inputs
#<alt (/ 1 (/ 1 (sqrt 3)))>
#<alt (/ z (/ 1 (/ 1 (sqrt 3))))>
#<alt (/ 1 (sqrt 3))>
#<alt (sqrt 3)>
#<alt (+ (* 1 (* y (* y (* 1/2 (/ (sqrt 1/3) z))))) (* z (sqrt 1/3)))>
#<alt (* y (* y (* 1/2 (/ (sqrt 1/3) z))))>
#<alt (* y (* 1/2 (/ (sqrt 1/3) z)))>
#<alt (* 1/2 (/ (sqrt 1/3) z))>
#<alt (+ (* z (sqrt 1/3)) (* y (* y (* 1/2 (/ (sqrt 1/3) z)))))>
#<alt (sqrt 1/3)>
#<alt (/ (sqrt 1/3) z)>
#<alt (* z (sqrt 1/3))>

Outputs
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (* z (sqrt 1/3))>
#<alt (+ (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) z)) (* z (sqrt 1/3)))>
#<alt (+ (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) z)) (* z (sqrt 1/3)))>
#<alt (+ (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) z)) (* z (sqrt 1/3)))>
#<alt (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) z))>
#<alt (* (pow y 2) (+ (* 1/2 (/ (sqrt 1/3) z)) (/ (* z (sqrt 1/3)) (pow y 2))))>
#<alt (* (pow y 2) (+ (* 1/2 (/ (sqrt 1/3) z)) (/ (* z (sqrt 1/3)) (pow y 2))))>
#<alt (* (pow y 2) (+ (* 1/2 (/ (sqrt 1/3) z)) (/ (* z (sqrt 1/3)) (pow y 2))))>
#<alt (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) z))>
#<alt (* (pow y 2) (+ (* 1/2 (/ (sqrt 1/3) z)) (/ (* z (sqrt 1/3)) (pow y 2))))>
#<alt (* (pow y 2) (+ (* 1/2 (/ (sqrt 1/3) z)) (/ (* z (sqrt 1/3)) (pow y 2))))>
#<alt (* (pow y 2) (+ (* 1/2 (/ (sqrt 1/3) z)) (/ (* z (sqrt 1/3)) (pow y 2))))>
#<alt (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) z))>
#<alt (/ (+ (* 1/2 (* (pow y 2) (sqrt 1/3))) (* (pow z 2) (sqrt 1/3))) z)>
#<alt (/ (+ (* 1/2 (* (pow y 2) (sqrt 1/3))) (* (pow z 2) (sqrt 1/3))) z)>
#<alt (/ (+ (* 1/2 (* (pow y 2) (sqrt 1/3))) (* (pow z 2) (sqrt 1/3))) z)>
#<alt (* z (sqrt 1/3))>
#<alt (* z (+ (sqrt 1/3) (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2)))))>
#<alt (* z (+ (sqrt 1/3) (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2)))))>
#<alt (* z (+ (sqrt 1/3) (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2)))))>
#<alt (* z (sqrt 1/3))>
#<alt (* -1 (* z (+ (* -1 (sqrt 1/3)) (* -1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2))))))>
#<alt (* -1 (* z (+ (* -1 (sqrt 1/3)) (* -1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2))))))>
#<alt (* -1 (* z (+ (* -1 (sqrt 1/3)) (* -1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2))))))>
#<alt (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* y (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* y (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* y (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* y (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* y (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* y (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* y (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* y (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* y (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* y (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* y (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* y (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* y (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* y (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* y (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* y (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* y (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* y (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* y (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* y (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* y (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* y (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* y (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (* y (sqrt 1/3)) z))>
#<alt (* 1/2 (/ (sqrt 1/3) z))>
#<alt (* 1/2 (/ (sqrt 1/3) z))>
#<alt (* 1/2 (/ (sqrt 1/3) z))>
#<alt (* 1/2 (/ (sqrt 1/3) z))>
#<alt (* 1/2 (/ (sqrt 1/3) z))>
#<alt (* 1/2 (/ (sqrt 1/3) z))>
#<alt (* 1/2 (/ (sqrt 1/3) z))>
#<alt (* 1/2 (/ (sqrt 1/3) z))>
#<alt (* 1/2 (/ (sqrt 1/3) z))>
#<alt (* 1/2 (/ (sqrt 1/3) z))>
#<alt (* 1/2 (/ (sqrt 1/3) z))>
#<alt (* 1/2 (/ (sqrt 1/3) z))>
#<alt (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) z))>
#<alt (/ (+ (* 1/2 (* (pow y 2) (sqrt 1/3))) (* (pow z 2) (sqrt 1/3))) z)>
#<alt (/ (+ (* 1/2 (* (pow y 2) (sqrt 1/3))) (* (pow z 2) (sqrt 1/3))) z)>
#<alt (/ (+ (* 1/2 (* (pow y 2) (sqrt 1/3))) (* (pow z 2) (sqrt 1/3))) z)>
#<alt (* z (sqrt 1/3))>
#<alt (* z (+ (sqrt 1/3) (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2)))))>
#<alt (* z (+ (sqrt 1/3) (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2)))))>
#<alt (* z (+ (sqrt 1/3) (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2)))))>
#<alt (* z (sqrt 1/3))>
#<alt (* -1 (* z (+ (* -1 (sqrt 1/3)) (* -1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2))))))>
#<alt (* -1 (* z (+ (* -1 (sqrt 1/3)) (* -1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2))))))>
#<alt (* -1 (* z (+ (* -1 (sqrt 1/3)) (* -1/2 (/ (* (pow y 2) (sqrt 1/3)) (pow z 2))))))>
#<alt (* z (sqrt 1/3))>
#<alt (+ (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) z)) (* z (sqrt 1/3)))>
#<alt (+ (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) z)) (* z (sqrt 1/3)))>
#<alt (+ (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) z)) (* z (sqrt 1/3)))>
#<alt (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) z))>
#<alt (* (pow y 2) (+ (* 1/2 (/ (sqrt 1/3) z)) (/ (* z (sqrt 1/3)) (pow y 2))))>
#<alt (* (pow y 2) (+ (* 1/2 (/ (sqrt 1/3) z)) (/ (* z (sqrt 1/3)) (pow y 2))))>
#<alt (* (pow y 2) (+ (* 1/2 (/ (sqrt 1/3) z)) (/ (* z (sqrt 1/3)) (pow y 2))))>
#<alt (* 1/2 (/ (* (pow y 2) (sqrt 1/3)) z))>
#<alt (* (pow y 2) (+ (* 1/2 (/ (sqrt 1/3) z)) (/ (* z (sqrt 1/3)) (pow y 2))))>
#<alt (* (pow y 2) (+ (* 1/2 (/ (sqrt 1/3) z)) (/ (* z (sqrt 1/3)) (pow y 2))))>
#<alt (* (pow y 2) (+ (* 1/2 (/ (sqrt 1/3) z)) (/ (* z (sqrt 1/3)) (pow y 2))))>
#<alt (/ (sqrt 1/3) z)>
#<alt (/ (sqrt 1/3) z)>
#<alt (/ (sqrt 1/3) z)>
#<alt (/ (sqrt 1/3) z)>
#<alt (/ (sqrt 1/3) z)>
#<alt (/ (sqrt 1/3) z)>
#<alt (/ (sqrt 1/3) z)>
#<alt (/ (sqrt 1/3) z)>
#<alt (/ (sqrt 1/3) z)>
#<alt (/ (sqrt 1/3) z)>
#<alt (/ (sqrt 1/3) z)>
#<alt (/ (sqrt 1/3) z)>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	(* y (* 1/2 (/ (sqrt 1/3) z)))
1.0ms	z	@	0	(* y (* 1/2 (/ (sqrt 1/3) z)))
1.0ms	y	@	0	(+ (* 1 (* y (* y (* 1/2 (/ (sqrt 1/3) z))))) (* z (sqrt 1/3)))
1.0ms	z	@	0	(+ (* 1 (* y (* y (* 1/2 (/ (sqrt 1/3) z))))) (* z (sqrt 1/3)))
0.0ms	y	@	inf	(* y (* 1/2 (/ (sqrt 1/3) z)))

rewrite412.0ms (4.3%)

Memory

7.3MiB live, 601.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 420×	`accelerator-lowering-fma.f32`
8 420×	`accelerator-lowering-fma.f64`
5 118×	`-lowering-.f32`
5 118×	`-lowering-.f64`
1 794×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	78
1	97	76
2	560	76
3	5746	74
0	8515	72

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 657

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 3 binary64))))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 3 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 9 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 #s(literal 3 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 #s(literal 3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 1/3 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 1/3 binary64))) #s(literal -1/2 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 1/3 binary64))) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 1/3 binary64))) #s(literal -1/2 binary64) (.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1/4 binary64))))
(exp.f64 (fma.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 1/3 binary64))) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1/4 binary64) (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1/4 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(sqrt.f64 #s(literal 3 binary64))
(sqrt.f64 (exp.f64 (log.f64 #s(literal 3 binary64))))
(neg.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 1/3 binary64) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal -2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64))
(pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 1/9 binary64) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 (log.f64 #s(literal 1/3 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 3 binary64))) (/.f64 (sqrt.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 z (sqrt.f64 #s(literal 1/3 binary64))))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) (neg.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(neg.f64 (neg.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)))
(/.f64 (neg.f64 z) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)))
(/.f64 (neg.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (/.f64 z (sqrt.f64 (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(.f64 (.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 (neg.f64 z) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (neg.f64 z))
(.f64 (neg.f64 (.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal -1 binary64))
(.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) z))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 z)) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (/.f64 z (sqrt.f64 (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(.f64 (pow.f64 (.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/2 binary64)))
(.f64 (.f64 z (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64)))) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 1/3 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 3 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 1/9 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 #s(literal 1/3 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 #s(literal 3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 3 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 1/4 binary64) (*.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 1/4 binary64))))
(exp.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 3 binary64))) #s(literal -1/2 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 3 binary64))) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(sqrt.f64 #s(literal 1/3 binary64))
(sqrt.f64 (exp.f64 (log.f64 #s(literal 1/3 binary64))))
(neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -2 binary64))
(pow.f64 #s(literal 9 binary64) #s(literal -1/4 binary64))
(pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 #s(literal 1/3 binary64))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (/.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 3 binary64))))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 3 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 9 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 #s(literal 3 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 #s(literal 3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 1/3 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 1/3 binary64))) #s(literal -1/2 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 1/3 binary64))) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 1/3 binary64))) #s(literal -1/2 binary64) (.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1/4 binary64))))
(exp.f64 (fma.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 1/3 binary64))) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1/4 binary64) (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1/4 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(sqrt.f64 #s(literal 3 binary64))
(sqrt.f64 (exp.f64 (log.f64 #s(literal 3 binary64))))
(neg.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 1/3 binary64) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal -2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64))
(pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 1/9 binary64) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 (log.f64 #s(literal 1/3 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 3 binary64))) (/.f64 (sqrt.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(+.f64 (/.f64 (.f64 y y) (.f64 (.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal 2 binary64))) (.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 (.f64 z (sqrt.f64 #s(literal 1/3 binary64))) (/.f64 (.f64 y y) (.f64 (.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 #s(literal 1/2 binary64) z))) (.f64 y (.f64 y (.f64 y y)))) (-.f64 (/.f64 (.f64 y y) (.f64 (.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal 2 binary64))) (.f64 z (sqrt.f64 #s(literal 1/3 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 z z) #s(literal -1/3 binary64)) (fma.f64 z (sqrt.f64 #s(literal 1/3 binary64)) (.f64 (/.f64 (.f64 y y) (*.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal -1/2 binary64))))))
(+.f64 (/.f64 (.f64 z (.f64 z #s(literal 1/3 binary64))) (fma.f64 z (sqrt.f64 #s(literal 1/3 binary64)) (.f64 (/.f64 (.f64 y y) (.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal -1/2 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 #s(literal 1/2 binary64) z))) (.f64 y (.f64 y (.f64 y y)))) (fma.f64 z (sqrt.f64 #s(literal 1/3 binary64)) (.f64 (/.f64 (.f64 y y) (.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal -1/2 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 (.f64 y y) (.f64 (.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal 2 binary64)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 #s(literal 1/2 binary64) z))) (.f64 y (.f64 y (.f64 y y)))) (-.f64 (/.f64 (.f64 y y) (.f64 (.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal 2 binary64))) (.f64 z (sqrt.f64 #s(literal 1/3 binary64))))) (/.f64 (.f64 (.f64 z z) #s(literal -1/3 binary64)) (fma.f64 z (sqrt.f64 #s(literal 1/3 binary64)) (.f64 (/.f64 (.f64 y y) (*.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (.f64 z (.f64 z #s(literal 1/3 binary64))) (fma.f64 z (sqrt.f64 #s(literal 1/3 binary64)) (.f64 (/.f64 (.f64 y y) (.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal -1/2 binary64)))) (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 #s(literal 1/2 binary64) z))) (.f64 y (.f64 y (.f64 y y)))) (fma.f64 z (sqrt.f64 #s(literal 1/3 binary64)) (.f64 (/.f64 (.f64 y y) (.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 (.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal 2 binary64))) (.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 z (sqrt.f64 #s(literal 1/3 binary64))) (/.f64 (.f64 y y) (.f64 (.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 #s(literal 1/2 binary64) z))) (.f64 y (.f64 y (.f64 y y)))) (-.f64 (/.f64 (.f64 y y) (.f64 (.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal 2 binary64))) (.f64 z (sqrt.f64 #s(literal 1/3 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 z z) #s(literal -1/3 binary64)) (fma.f64 z (sqrt.f64 #s(literal 1/3 binary64)) (.f64 (/.f64 (.f64 y y) (*.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal -1/2 binary64))))))
(fma.f64 z (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 (.f64 y y) (.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal 2 binary64))))
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(pow.f64 (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal 3 binary64)) z) (*.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (/.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) z))
(.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) #s(literal -1 binary64))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) z) (/.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64)))) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 z (sqrt.f64 #s(literal 1/3 binary64))))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) (neg.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(neg.f64 (neg.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)))
(/.f64 (neg.f64 z) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)))
(/.f64 (neg.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (/.f64 z (sqrt.f64 (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(.f64 (.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 (neg.f64 z) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (neg.f64 z))
(.f64 (neg.f64 (.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal -1 binary64))
(.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) z))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 z)) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (/.f64 z (sqrt.f64 (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(.f64 (pow.f64 (.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/2 binary64)))
(.f64 (.f64 z (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64)))) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))

simplify703.0ms (7.3%)

Memory

16.6MiB live, 384.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 624×	`accelerator-lowering-fma.f32`
8 624×	`accelerator-lowering-fma.f64`
3 942×	`-lowering-.f32`
3 942×	`-lowering-.f64`
2 230×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	1284
1	98	1266
2	276	1266
3	866	1176
4	2131	1176
5	6225	1176
0	8134	1140

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

eval170.0ms (1.8%)

Memory: 5.8MiB live, 314.6MiB allocated
Compiler: Compiled 29 248 to 1 930 computations (93.4% saved)

prune342.0ms (3.6%)

Memory

-8.7MiB live, 242.0MiB allocated

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	1 146	6	1 152
Fresh	0	0	0
Picked	2	1	3
Done	0	7	7
Total	1 148	14	1 162

Accuracy

98.8%

Counts

1 162 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.8%	(fma.f64 (/.f64 y (.f64 (.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal 2 binary64))) y (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
	97.8%	(fma.f64 z (sqrt.f64 #s(literal 1/3 binary64)) (.f64 y (.f64 y (.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 (log.f64 z) #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 1/3 binary64)))))))))
	97.8%	(fma.f64 z (sqrt.f64 #s(literal 1/3 binary64)) (.f64 y (.f64 y (exp.f64 (.f64 (log.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal 2 binary64))) #s(literal -1 binary64))))))
	97.8%	(fma.f64 #s(literal 1 binary64) (.f64 y (.f64 (/.f64 (.f64 y #s(literal 1/2 binary64)) z) (sqrt.f64 #s(literal 1/3 binary64)))) (.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
	89.1%	(fma.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))) (exp.f64 (.f64 (log.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 1 binary64))))
	97.8%	(fma.f64 #s(literal 1 binary64) (.f64 y (.f64 y (exp.f64 (.f64 (log.f64 (.f64 (.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal 2 binary64))) #s(literal -1 binary64))))) (.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
✓	96.2%	(/.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
✓	97.3%	(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
✓	96.6%	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) z)
✓	96.6%	(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
✓	97.3%	(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
✓	42.5%	(sqrt.f64 (.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/3 binary64)))
✓	41.9%	(sqrt.f64 (.f64 (.f64 z z) #s(literal 1/3 binary64)))
✓	41.9%	(sqrt.f64 (.f64 z (.f64 z #s(literal 1/3 binary64))))

Compiler

Compiled 449 to 237 computations (47.2% saved)

regimes65.0ms (0.7%)

Memory

-20.8MiB live, 136.2MiB allocated

Counts

21 → 1

Calls

Call 1

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

Outputs
(fma.f64 (/.f64 y (.f64 (.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal 2 binary64))) y (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))

Calls

10 calls:

8.0ms	x
8.0ms	(*.f64 z z)
7.0ms	(+.f64 (.f64 x x) (.f64 y y))
7.0ms	(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
6.0ms	z

Results

Accuracy	Segments	Branch
97.8%	1	`x`
97.8%	1	`y`
97.8%	1	`z`
97.8%	1	`(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))`
97.8%	1	`(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))`
97.8%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
97.8%	1	`(+.f64 (.f64 x x) (.f64 y y))`
97.8%	1	`(*.f64 x x)`
97.8%	1	`(*.f64 y y)`
97.8%	1	`(*.f64 z z)`

Compiler

Compiled 87 to 56 computations (35.6% saved)

regimes59.0ms (0.6%)

Memory

9.2MiB live, 83.5MiB allocated

Counts

14 → 1

Calls

Call 1

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

Outputs
(fma.f64 z (sqrt.f64 #s(literal 1/3 binary64)) (.f64 y (.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))))

Calls

10 calls:

19.0ms	y
6.0ms	(*.f64 x x)
4.0ms	x
4.0ms	z
4.0ms	(+.f64 (.f64 x x) (.f64 y y))

Results

Accuracy	Segments	Branch
97.8%	1	`y`
97.8%	1	`z`
97.8%	1	`(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))`
97.8%	1	`(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))`
97.8%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
97.8%	1	`(+.f64 (.f64 x x) (.f64 y y))`
97.8%	1	`(*.f64 x x)`
97.8%	1	`(*.f64 y y)`
97.8%	1	`(*.f64 z z)`
97.8%	1	`x`

Compiler

Compiled 87 to 56 computations (35.6% saved)

regimes57.0ms (0.6%)

Memory

-7.3MiB live, 73.8MiB allocated

Accuracy

Total -35.8b remaining (-2106%)

Threshold costs -35.8b (-2106%)

Counts

13 → 1

Calls

Call 1

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

Outputs
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))

Calls

10 calls:

19.0ms	(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
6.0ms	x
4.0ms	z
4.0ms	y
4.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))

Results

Accuracy	Segments	Branch
97.3%	1	`x`
97.3%	1	`y`
97.3%	1	`z`
97.3%	1	`(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))`
97.3%	1	`(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))`
97.3%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
97.3%	1	`(+.f64 (.f64 x x) (.f64 y y))`
97.3%	1	`(*.f64 x x)`
97.3%	1	`(*.f64 y y)`
97.3%	1	`(*.f64 z z)`

Compiler

Compiled 87 to 56 computations (35.6% saved)

simplify8.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	32
1	24	32

Stop Event

1×

saturated

Calls

Call 1

Inputs

(fma.f64 (/.f64 y (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal 2 binary64))) y (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))

(fma.f64 z (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 y (*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))))

(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))

Outputs

(fma.f64 (/.f64 y (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal 2 binary64))) y (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))

(fma.f64 z (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 y (*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))))

(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))

soundness637.0ms (6.6%)

Memory

-17.1MiB live, 594.6MiB allocated

Rules

13 370×	`accelerator-lowering-fma.f32`
13 370×	`accelerator-lowering-fma.f64`
13 366×	`accelerator-lowering-fma.f32`
13 366×	`accelerator-lowering-fma.f64`
8 420×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	78
1	97	76
2	560	76
3	5746	74
0	8515	72
0	139	1332
1	412	1308
2	1380	1308
3	3934	1296
4	7250	1296
0	8236	1232
0	230	2442
1	673	2442
2	2272	2406
3	5706	2289
0	8198	1992
0	22	104
1	99	104
2	697	104
0	8177	91

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
1×	node limit

Compiler

Compiled 113 to 74 computations (34.5% saved)

preprocess170.0ms (1.8%)

Memory: 21.3MiB live, 138.5MiB allocated
Compiler: Compiled 310 to 210 computations (32.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	19	118
1	41	118
2	84	118
3	176	118
4	333	112
5	546	112
6	575	112
7	580	112
8	580	112
0	580	110

Iter	Nodes	Cost
0	19	118
1	41	118
2	84	118
3	176	118
4	333	112
5	546	112
6	575	112
7	580	112
8	580	112
0	580	110

analyze1.0ms (0%)

sample1.2s (12.4%)

preprocess166.0ms (1.7%)

explain133.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify38.0ms (0.4%)

localize50.0ms (0.5%)

series150.0ms (1.6%)

rewrite1.2s (12.3%)

simplify426.0ms (4.4%)

eval216.0ms (2.2%)

prune72.0ms (0.7%)

simplify7.0ms (0.1%)

localize72.0ms (0.8%)

series16.0ms (0.2%)

rewrite361.0ms (3.7%)

simplify863.0ms (9%)

eval760.0ms (7.9%)

prune136.0ms (1.4%)

simplify10.0ms (0.1%)

localize70.0ms (0.7%)

series12.0ms (0.1%)

rewrite306.0ms (3.2%)

simplify408.0ms (4.2%)

eval160.0ms (1.7%)

prune91.0ms (0.9%)

simplify19.0ms (0.2%)

localize72.0ms (0.7%)

series11.0ms (0.1%)

rewrite412.0ms (4.3%)

simplify703.0ms (7.3%)

eval170.0ms (1.8%)

prune342.0ms (3.6%)

regimes65.0ms (0.7%)

regimes59.0ms (0.6%)

regimes57.0ms (0.6%)

simplify8.0ms (0.1%)

soundness637.0ms (6.6%)

preprocess170.0ms (1.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	19	118
1	41	118
2	84	118
3	176	118
4	333	112
5	546	112
6	575	112
7	580	112
8	580	112
0	580	110