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

analyze1.0ms (0%)

Memory

1.7MiB live, 1.7MiB 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 (13.6%)

Memory

34.0MiB live, 1 783.5MiB allocated

Samples

883.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 640.0ms

ival-add: 223.0ms (34.9% of total)

ival-mult: 171.0ms (26.7% of total)

ival-div: 166.0ms (26% of total)

ival-sqrt: 66.0ms (10.3% of total)

ival-true: 6.0ms (0.9% of total)

exact: 5.0ms (0.8% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

preprocess42.0ms (0.5%)

Memory

-5.4MiB live, 73.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	129
1	76	129
2	155	129
3	321	129
4	583	129
5	941	129
6	1271	129
7	1286	129
0	11	14
0	18	14
1	22	14
2	29	14
3	31	14
0	31	12

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs z)

(abs y)

(abs x)

(sort x y z)

explain303.0ms (3.4%)

Memory

14.3MiB live, 330.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
154	-	-	`(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	145	0
↳	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	overflow	145
↳	`(*.f64 y y)`	overflow	28
↳	`(*.f64 x x)`	overflow	3
↳	`(*.f64 z z)`	overflow	145
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	28
↳	`(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))`	overflow	145
`sqrt.f64`	`(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))`	uflow-rescue	9	0
↳	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	underflow	9
↳	`(*.f64 y y)`	underflow	37
↳	`(*.f64 x x)`	underflow	143
↳	`(*.f64 z z)`	underflow	9
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	37
↳	`(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))`	underflow	9

Confusion

	Predicted +	Predicted -
+	154	0
-	0	102

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	154	0	0
-	0	0	102

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	102
1	154

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

208.0ms

512×

valid

Compiler

Compiled 154 to 48 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 172.0ms

ival-div: 151.0ms (87.9% of total)

ival-mult: 11.0ms (6.4% of total)

ival-sqrt: 5.0ms (2.9% of total)

ival-add: 4.0ms (2.3% 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune10.0ms (0.1%)

Memory

-36.5MiB live, 2.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	43.9%	(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)

simplify6.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB 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×	`lower-+.f32`
20×	`lower-+.f64`
18×	`lower-fma.f64`
18×	`lower-fma.f32`
10×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	58
0	18	58
1	22	58
2	29	58
3	31	58
0	31	51

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize34.0ms (0.4%)

Memory

13.3MiB live, 61.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
✓	accuracy	99.8%	(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
✓	accuracy	43.9%	(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))

Samples

22.0ms

256×

valid

Compiler

Compiled 60 to 13 computations (78.3% saved)

Precisions

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

ival-mult: 4.0ms (38.9% of total)

ival-div: 2.0ms (19.4% of total)

ival-add: 2.0ms (19.4% of total)

ival-sqrt: 2.0ms (19.4% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Memory

-8.6MiB live, 30.8MiB allocated

Counts

5 → 144

Calls

Call 1

Inputs
#<alt (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))>
#<alt (+.f64 (.f64 x x) (.f64 y y))>
#<alt (sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))>
#<alt (*.f64 x x)>

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)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>

Calls

36 calls:

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

rewrite381.0ms (4.3%)

Memory

-13.5MiB live, 697.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 524×	`lower-fma.f64`
4 524×	`lower-fma.f32`
4 260×	`lower-*.f32`
4 254×	`lower-*.f64`
3 048×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	48
0	18	48
1	65	48
2	486	48
3	6616	48
0	8497	41

Stop Event

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

Counts

5 → 356

Calls

Call 1

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

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

simplify450.0ms (5.1%)

Memory

22.4MiB live, 736.3MiB allocated

Algorithm

1×	egg-herbie

Rules

13 366×	`lower-fma.f64`
13 366×	`lower-fma.f32`
5 460×	`lower-*.f64`
5 460×	`lower-*.f32`
3 804×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	230	2478
1	673	2478
2	2272	2442
3	5706	2325
0	8198	2028

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

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

eval145.0ms (1.6%)

Memory: 14.0MiB live, 86.2MiB allocated
Compiler: Compiled 18 496 to 1 589 computations (91.4% saved)

prune286.0ms (3.2%)

Memory

-21.2MiB live, 95.3MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	495	5	500
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	496	5	501

Accuracy

99.3%

Counts

501 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	43.7%	(/.f64 (sqrt.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z)))) (sqrt.f64 #s(literal 3 binary64)))
▶	97.5%	(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
▶	42.2%	(sqrt.f64 (/.f64 (*.f64 z z) #s(literal 3 binary64)))
▶	43.9%	(sqrt.f64 (.f64 (fma.f64 y y (.f64 z z)) #s(literal 1/3 binary64)))
▶	42.2%	(sqrt.f64 (.f64 z (.f64 z #s(literal 1/3 binary64))))

Compiler

Compiled 106 to 76 computations (28.3% saved)

simplify8.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Program
✓	cost-diff	(fma.f64 y y (*.f64 z z))
✓	cost-diff	(fma.f64 x x (fma.f64 y y (*.f64 z z)))
✓	cost-diff	(sqrt.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))))
✓	cost-diff	(/.f64 (sqrt.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z)))) (sqrt.f64 #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×	`lower-*.f32`
34×	`lower-fma.f32`
32×	`lower-*.f64`
30×	`lower-fma.f64`
28×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	116
0	37	116
1	48	116
2	65	116
3	71	116
4	73	116
0	73	116

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize434.0ms (4.9%)

Memory

22.9MiB live, 105.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 #s(literal 3 binary64))
✓	accuracy	100.0%	(fma.f64 y y (*.f64 z z))
✓	accuracy	99.4%	(/.f64 (sqrt.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z)))) (sqrt.f64 #s(literal 3 binary64)))
✓	accuracy	44.0%	(sqrt.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.8%	(/.f64 (*.f64 z z) #s(literal 3 binary64))
✓	accuracy	43.9%	(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	43.9%	(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	43.9%	(sqrt.f64 (.f64 z (.f64 z #s(literal 1/3 binary64))))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/3 binary64))
✓	accuracy	99.4%	(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))

Samples

408.0ms

256×

valid

Compiler

Compiled 118 to 24 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 393.0ms

ival-sqrt: 193.0ms (49.1% of total)

const: 185.0ms (47% of total)

ival-mult: 9.0ms (2.3% of total)

ival-div: 3.0ms (0.8% of total)

ival-add: 2.0ms (0.5% of total)

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

exact: 0.0ms (0% of total)

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

series210.0ms (2.4%)

Memory

-8.6MiB live, 28.9MiB allocated

Counts

15 → 264

Calls

Call 1

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

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

Calls

66 calls:

Time	Variable		Point	Expression
191.0ms	z	@	0	(* z (sqrt 1/3))
2.0ms	x	@	-inf	(sqrt (+ (* x x) (+ (* y y) (* z z))))
1.0ms	y	@	inf	(sqrt (+ (* x x) (+ (* y y) (* z z))))
1.0ms	y	@	0	(sqrt (* (+ (* y y) (* z z)) 1/3))
1.0ms	x	@	0	(/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt 3))

rewrite499.0ms (5.6%)

Memory

-14.1MiB live, 591.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 584×	`lower-fma.f32`
4 580×	`lower-fma.f64`
4 458×	`lower-*.f32`
4 448×	`lower-*.f64`
3 230×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	91
0	37	86
1	107	86
2	612	86
3	7166	86
0	9092	83

Stop Event

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

Counts

15 → 583

Calls

Call 1

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

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

simplify639.0ms (7.2%)

Memory

23.5MiB live, 778.4MiB allocated

Algorithm

1×	egg-herbie

Rules

14 820×	`lower-fma.f64`
14 820×	`lower-fma.f32`
6 634×	`lower-*.f64`
6 634×	`lower-*.f32`
4 124×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	411	4276
1	1284	4234
2	4677	4228
0	8192	3769

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 261

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

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

eval128.0ms (1.4%)

Memory: -22.7MiB live, 251.1MiB allocated
Compiler: Compiled 25 186 to 2 270 computations (91% saved)

prune95.0ms (1.1%)

Memory

14.2MiB live, 215.4MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	999	3	1 002
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	1 001	6	1 007

Accuracy

99.7%

Counts

1 007 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.5%	(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
▶	96.9%	(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
✓	97.5%	(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
✓	43.9%	(sqrt.f64 (.f64 (fma.f64 y y (.f64 z z)) #s(literal 1/3 binary64)))
▶	42.2%	(sqrt.f64 (.f64 (.f64 z z) #s(literal 1/3 binary64)))
✓	42.2%	(sqrt.f64 (.f64 z (.f64 z #s(literal 1/3 binary64))))

Compiler

Compiled 57 to 44 computations (22.8% saved)

simplify8.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

108×	`lower-*.f32`
100×	`lower-*.f64`
54×	`associate-r`
36×	`associate-l`
20×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	52
0	22	58
1	33	44
2	43	44
3	66	44
4	105	44
5	109	44
0	109	44

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize47.0ms (0.5%)

Memory

5.1MiB live, 83.4MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 #s(literal 3 binary64))
✓	accuracy	99.4%	(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 3 binary64))
✓	accuracy	99.4%	(.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%	(*.f64 z z)
✓	accuracy	99.8%	(.f64 (.f64 z z) #s(literal 1/3 binary64))
✓	accuracy	43.9%	(sqrt.f64 (.f64 (.f64 z z) #s(literal 1/3 binary64)))

Samples

30.0ms

256×

valid

Compiler

Compiled 54 to 17 computations (68.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 7.0ms (35.1% of total)

ival-sqrt: 7.0ms (35.1% of total)

ival-div: 3.0ms (15% of total)

const: 3.0ms (15% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

-27.5MiB live, 11.1MiB allocated

Counts

9 → 84

Calls

Call 1

Inputs
#<alt (sqrt.f64 (.f64 (.f64 z z) #s(literal 1/3 binary64)))>
#<alt (.f64 (.f64 z z) #s(literal 1/3 binary64))>
#<alt (*.f64 z z)>
#<alt (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))>
#<alt (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))>
#<alt (sqrt.f64 z)>
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (sqrt.f64 #s(literal 3 binary64))>

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 (* -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 (/ 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)))>
#<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))>

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(* (sqrt z) (* (sqrt z) (/ 1 (sqrt 3))))
1.0ms	z	@	-inf	(* (sqrt z) (* (sqrt z) (/ 1 (sqrt 3))))
1.0ms	z	@	-inf	(* (sqrt z) (/ 1 (sqrt 3)))
1.0ms	z	@	inf	(* (sqrt z) (* (sqrt z) (/ 1 (sqrt 3))))
1.0ms	z	@	0	(* (sqrt z) (/ 1 (sqrt 3)))

rewrite1.2s (13.3%)

Memory

7.7MiB live, 251.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 296×	`lower-fma.f64`
3 296×	`lower-fma.f32`
3 060×	`lower-*.f32`
3 052×	`lower-*.f64`
1 436×	`log-prod`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	13	43
0	22	39
1	56	31
2	170	31
3	704	31
4	5286	30
0	8130	30

Stop Event

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

Counts

9 → 807

Calls

Call 1

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

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

simplify215.0ms (2.4%)

Memory

4.7MiB live, 80.4MiB allocated

Algorithm

1×	egg-herbie

Rules

1 120×	`lower-*.f64`
1 120×	`lower-fma.f64`
1 120×	`lower-fma.f32`
1 120×	`lower-*.f32`
1 052×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	352
1	55	328
2	138	328
3	344	328
4	1214	328
5	2279	328
6	2991	328
7	3252	328
8	3344	328
9	3409	328
10	3949	328
11	3949	328
12	3951	328
13	3951	328
14	4152	328
15	4376	328
16	4446	328
17	4460	328
18	4462	328
19	4462	328
20	4462	328
21	4692	328
0	4692	328

Stop Event

1×	iter limit
1×	saturated

Counts

84 → 84

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))
(* -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)
(/ 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)))
(/ 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))

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)))
(* -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 (.f64 z z) #s(literal 1/3 binary64))
(* 1/3 (pow z 2))
(.f64 (.f64 z z) #s(literal 1/3 binary64))
(* 1/3 (pow z 2))
(.f64 (.f64 z z) #s(literal 1/3 binary64))
(* 1/3 (pow z 2))
(.f64 (.f64 z z) #s(literal 1/3 binary64))
(* 1/3 (pow z 2))
(.f64 (.f64 z z) #s(literal 1/3 binary64))
(* 1/3 (pow z 2))
(.f64 (.f64 z z) #s(literal 1/3 binary64))
(* 1/3 (pow z 2))
(.f64 (.f64 z z) #s(literal 1/3 binary64))
(* 1/3 (pow z 2))
(.f64 (.f64 z z) #s(literal 1/3 binary64))
(* 1/3 (pow z 2))
(.f64 (.f64 z z) #s(literal 1/3 binary64))
(* 1/3 (pow z 2))
(.f64 (.f64 z z) #s(literal 1/3 binary64))
(* 1/3 (pow z 2))
(.f64 (.f64 z z) #s(literal 1/3 binary64))
(* 1/3 (pow z 2))
(.f64 (.f64 z 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)
(/ 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)
(/ 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)))

eval385.0ms (4.4%)

Memory: -124.1MiB live, 203.9MiB allocated
Compiler: Compiled 12 087 to 1 689 computations (86% saved)

prune309.0ms (3.5%)

Memory

-11.3MiB live, 212.4MiB allocated

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	1 022	4	1 026
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	1 022	10	1 032

Accuracy

99.7%

Counts

1 032 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.5%	(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
▶	89.9%	(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 z))) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
▶	97.2%	(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
▶	95.7%	(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 0 binary64))))))
✓	96.9%	(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
▶	90.5%	(.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 z))) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
✓	97.5%	(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
✓	43.9%	(sqrt.f64 (.f64 (fma.f64 y y (.f64 z z)) #s(literal 1/3 binary64)))
✓	42.2%	(sqrt.f64 (.f64 (.f64 z z) #s(literal 1/3 binary64)))
✓	42.2%	(sqrt.f64 (.f64 z (.f64 z #s(literal 1/3 binary64))))

Compiler

Compiled 129 to 100 computations (22.5% saved)

simplify812.0ms (9.2%)

Memory

-10.5MiB live, 1 056.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 z)))
✓	cost-diff	0	(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 z))) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
✓	cost-diff	320	(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))
✓	cost-diff	6400	(exp.f64 #s(literal 1 binary64))
✓	cost-diff	0	(sqrt.f64 #s(literal 3 binary64))
✓	cost-diff	0	(/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64)))
✓	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	1600	(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
✓	cost-diff	192	(+.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 0 binary64)))
✓	cost-diff	512	(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 0 binary64))))
✓	cost-diff	1600	(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 0 binary64))))))
✓	cost-diff	1920	(fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 0 binary64))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (log.f64 z))
✓	cost-diff	320	(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))
✓	cost-diff	1600	(.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 z))) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
✓	cost-diff	12480	(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 z)))

Rules

29 846×	`lower-fma.f64`
29 846×	`lower-fma.f32`
4 006×	`lower-*.f32`
3 994×	`lower-*.f64`
3 702×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	221
0	54	214
1	98	160
2	205	142
3	458	142
4	1397	142
5	2274	142
6	2555	142
7	2757	142
8	3014	142
9	3312	142
10	3843	142
11	6960	142
0	8009	142

Stop Event

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

Calls

Call 1

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

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

localize143.0ms (1.6%)

Memory

-16.2MiB live, 190.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (log.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	91.4%	(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 z)))
✓	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	100.0%	(sqrt.f64 #s(literal 3 binary64))
✓	accuracy	99.4%	(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
✓	accuracy	99.4%	(/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64)))
✓	accuracy	99.4%	(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 0 binary64))))))
✓	accuracy	99.4%	(*.f64 (sqrt.f64 z) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 0 binary64)))))
✓	accuracy	98.4%	(pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64))
✓	accuracy	98.4%	(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 0 binary64))))
✓	accuracy	99.4%	(.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.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	92.0%	(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 z)))

Samples

72.0ms

256×

valid

Compiler

Compiled 223 to 35 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-pow: 13.0ms (24.8% of total)

ival-mult: 11.0ms (21% of total)

ival-exp: 6.0ms (11.4% of total)

ival-sqrt: 5.0ms (9.5% of total)

ival-div: 4.0ms (7.6% of total)

ival-log: 4.0ms (7.6% of total)

const: 4.0ms (7.6% of total)

ival-add: 2.0ms (3.8% of total)

ival-neg: 2.0ms (3.8% of total)

ival-sub: 1.0ms (1.9% of total)

exact: 1.0ms (1.9% of total)

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

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

series88.0ms (1%)

Memory

44.6MiB live, 115.2MiB allocated

Counts

18 → 132

Calls

Call 1

Inputs
#<alt (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 z)))>
#<alt (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 z))) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))>
#<alt (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (log.f64 z))>
#<alt (fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 0 binary64))>
#<alt (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 0 binary64))))))>
#<alt (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 0 binary64))))>
#<alt (+.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 0 binary64)))>
#<alt (*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))>
#<alt (sqrt.f64 z)>
#<alt (/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64)))>
#<alt (sqrt.f64 #s(literal 3 binary64))>
#<alt (exp.f64 #s(literal 1 binary64))>
#<alt (.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 z))) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))>
#<alt (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 z)))>
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))>
#<alt (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64))>
#<alt (*.f64 (sqrt.f64 z) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 0 binary64)))))>

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

Calls

33 calls:

Time	Variable		Point	Expression
31.0ms	z	@	0	(* 1/2 (log z))
18.0ms	z	@	0	(* (pow (exp 1) (* 1/2 (log z))) (* (sqrt z) (/ 1 (sqrt 3))))
17.0ms	z	@	inf	(* 1/2 (log z))
12.0ms	z	@	-inf	(* 1/2 (log z))
2.0ms	z	@	0	(* (sqrt z) (* (sqrt z) (/ (- 0 (pow (neg (sqrt 3)) -3)) (+ 0 (+ (* (neg (sqrt 1/3)) (neg (sqrt 1/3))) 0)))))

rewrite69.0ms (0.8%)

Memory

-7.2MiB live, 114.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

346×	`lower-*.f32`
336×	`lower-*.f64`
310×	`lower-/.f32`
304×	`lower-/.f64`
110×	`lower-pow.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	160
0	54	124
1	180	69
0	1233	69

Stop Event

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

Counts

18 → 247

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 z)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (log.f64 z)))
(sqrt.f64 z)
(pow.f64 z #s(literal 1/2 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 1/2 binary64) (log.f64 z)))
(pow.f64 (E.f64) (fma.f64 (log.f64 z) #s(literal 1/4 binary64) (*.f64 (log.f64 z) #s(literal 1/4 binary64))))
(pow.f64 (E.f64) (.f64 #s(literal 2 binary64) (.f64 (log.f64 z) #s(literal 1/4 binary64))))
(pow.f64 (sqrt.f64 (E.f64)) (log.f64 z))
(pow.f64 (pow.f64 (E.f64) (*.f64 (log.f64 z) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (E.f64) (log.f64 z)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (E.f64) (E.f64)) (.f64 (log.f64 z) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 z)) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 z))
(.f64 (pow.f64 (E.f64) (.f64 (log.f64 z) #s(literal 1/4 binary64))) (pow.f64 (E.f64) (*.f64 (log.f64 z) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (/.f64 (log.f64 z) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (E.f64)) (/.f64 (log.f64 z) #s(literal 2 binary64))))
(sqrt.f64 (.f64 z (.f64 z #s(literal 1/3 binary64))))
(sqrt.f64 (.f64 (.f64 z #s(literal 1/3 binary64)) z))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (sqrt.f64 z) (sqrt.f64 (/.f64 #s(literal 3 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
(/.f64 (neg.f64 z) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (*.f64 z #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z))) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (*.f64 z #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.f64 z (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))
(.f64 (sqrt.f64 z) (sqrt.f64 (.f64 z #s(literal 1/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) z)
(.f64 (sqrt.f64 (.f64 z #s(literal 1/3 binary64))) (sqrt.f64 z))
(.f64 (pow.f64 (E.f64) (.f64 (log.f64 z) #s(literal 1/4 binary64))) (.f64 (pow.f64 (E.f64) (.f64 (log.f64 z) #s(literal 1/4 binary64))) (sqrt.f64 (*.f64 z #s(literal 1/3 binary64)))))
(.f64 (.f64 (sqrt.f64 (.f64 z #s(literal 1/3 binary64))) (pow.f64 (E.f64) (.f64 (log.f64 z) #s(literal 1/4 binary64)))) (pow.f64 (E.f64) (*.f64 (log.f64 z) #s(literal 1/4 binary64))))
(.f64 (.f64 z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))
(sqrt.f64 (*.f64 z #s(literal 1/3 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 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 3 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 3 binary64) z)) #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))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (*.f64 (sqrt.f64 z) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (/.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64)) (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))
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 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 (neg.f64 (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 #s(literal 1/2 binary64) (log.f64 z))
(*.f64 (log.f64 z) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (log.f64 z)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 z)))
(.f64 (.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 1/2 binary64))
#s(literal 1/3 binary64)
(/.f64 z (/.f64 #s(literal -1/3 binary64) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64))))
(/.f64 (*.f64 z #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64))))
(/.f64 (*.f64 z (neg.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64)))) #s(literal 1/3 binary64))
(/.f64 (.f64 (sqrt.f64 z) (neg.f64 (.f64 (sqrt.f64 z) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64))))) #s(literal 1/3 binary64))
(/.f64 (*.f64 z (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64))) #s(literal -1/3 binary64))
(/.f64 (.f64 (neg.f64 (.f64 (sqrt.f64 z) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64)))) (sqrt.f64 z)) #s(literal 1/3 binary64))
(.f64 z (.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64)) #s(literal -3 binary64)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64)) #s(literal -3 binary64))))
(.f64 (.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64)) #s(literal -3 binary64)) z)
(.f64 (.f64 (sqrt.f64 z) (*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64)) #s(literal -3 binary64))) (sqrt.f64 z))
(.f64 (.f64 z (neg.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64)))) #s(literal 3 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64)) #s(literal -3 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64)) #s(literal 3 binary64)))
(neg.f64 (*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64))) #s(literal 1 binary64)))
(/.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64)) #s(literal -1/3 binary64))
(/.f64 (neg.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64))) #s(literal 1/3 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64)))))
(/.f64 (neg.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -9 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -6 binary64))))
(/.f64 (neg.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -6 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64)))) #s(literal 1/9 binary64))
(/.f64 (.f64 (neg.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -9 binary64))) #s(literal 1 binary64)) (.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -6 binary64)) #s(literal 1/3 binary64)))
(/.f64 (.f64 (neg.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -6 binary64))) #s(literal 1 binary64)) (.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64)) #s(literal 1/3 binary64)))
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(.f64 #s(literal 1 binary64) (.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64)) #s(literal -3 binary64)))
(*.f64 #s(literal 3 binary64) (neg.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64)) #s(literal -3 binary64))
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#s(literal 1/3 binary64)
(sqrt.f64 (.f64 z (.f64 z #s(literal 1/3 binary64))))
(sqrt.f64 (.f64 (.f64 z #s(literal 1/3 binary64)) z))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
(/.f64 (neg.f64 z) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (*.f64 z #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z))) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
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(.f64 (sqrt.f64 z) (sqrt.f64 (.f64 z #s(literal 1/3 binary64))))
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(.f64 (sqrt.f64 (.f64 z #s(literal 1/3 binary64))) (sqrt.f64 z))
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(.f64 (.f64 z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 z)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (log.f64 z)))
(sqrt.f64 z)
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(pow.f64 (E.f64) (fma.f64 (log.f64 z) #s(literal 1/4 binary64) (*.f64 (log.f64 z) #s(literal 1/4 binary64))))
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(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))
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(*.f64 (neg.f64 (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))
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(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(E.f64)
(log.f64 (exp.f64 (E.f64)))
(exp.f64 #s(literal 1 binary64))
(cbrt.f64 (.f64 (.f64 (E.f64) (E.f64)) (E.f64)))
(pow.f64 (E.f64) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (E.f64))
(*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))
(.f64 (.f64 (cbrt.f64 (E.f64)) (cbrt.f64 (E.f64))) (cbrt.f64 (E.f64)))
(sqrt.f64 (.f64 z (.f64 z #s(literal 1/3 binary64))))
(sqrt.f64 (.f64 (.f64 z #s(literal 1/3 binary64)) z))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (sqrt.f64 z) (sqrt.f64 (/.f64 #s(literal 3 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
(/.f64 (neg.f64 z) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (*.f64 z #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z))) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
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(.f64 (sqrt.f64 z) (sqrt.f64 (.f64 z #s(literal 1/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) z)
(.f64 (sqrt.f64 (.f64 z #s(literal 1/3 binary64))) (sqrt.f64 z))
(.f64 (pow.f64 (E.f64) (.f64 (log.f64 z) #s(literal 1/4 binary64))) (.f64 (pow.f64 (E.f64) (.f64 (log.f64 z) #s(literal 1/4 binary64))) (sqrt.f64 (*.f64 z #s(literal 1/3 binary64)))))
(.f64 (.f64 (sqrt.f64 (.f64 z #s(literal 1/3 binary64))) (pow.f64 (E.f64) (.f64 (log.f64 z) #s(literal 1/4 binary64)))) (pow.f64 (E.f64) (*.f64 (log.f64 z) #s(literal 1/4 binary64))))
(.f64 (.f64 z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 z)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (log.f64 z)))
(sqrt.f64 z)
(pow.f64 z #s(literal 1/2 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 1/2 binary64) (log.f64 z)))
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(pow.f64 (pow.f64 (E.f64) (log.f64 z)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (E.f64) (E.f64)) (.f64 (log.f64 z) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 z)) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 z))
(.f64 (pow.f64 (E.f64) (.f64 (log.f64 z) #s(literal 1/4 binary64))) (pow.f64 (E.f64) (*.f64 (log.f64 z) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (/.f64 (log.f64 z) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (E.f64)) (/.f64 (log.f64 z) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.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))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64)))
(+.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64)) #s(literal 0 binary64))
(exp.f64 (*.f64 #s(literal -3 binary64) (log.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -3 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3/2 binary64)) #s(literal 0 binary64))
(neg.f64 (neg.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64))))
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(/.f64 (neg.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -6 binary64))) (neg.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -9 binary64)))) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -6 binary64)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -6 binary64)))) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -9 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -6 binary64)) #s(literal 0 binary64))))
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(pow.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) #s(literal -3/2 binary64))
(pow.f64 (exp.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))))) #s(literal -3 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -3 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3/2 binary64)))
(neg.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 z) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64)))) #s(literal -1/3 binary64)))
(/.f64 (sqrt.f64 z) (/.f64 #s(literal -1/3 binary64) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (neg.f64 (*.f64 (sqrt.f64 z) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64))))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 z) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64)))) #s(literal 1/3 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sqrt.f64 z) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64))))) #s(literal -1/3 binary64))
(/.f64 (*.f64 (sqrt.f64 z) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64))) #s(literal -1/3 binary64))
(/.f64 (*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64)) (sqrt.f64 z)) #s(literal -1/3 binary64))
(/.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 z) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 #s(literal 1/3 binary64)))
(/.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 z) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64)))) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(.f64 (sqrt.f64 z) (.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64)) #s(literal -3 binary64)))
(.f64 (neg.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64))) (.f64 #s(literal 3 binary64) (sqrt.f64 z)))
(.f64 (.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64)) #s(literal -3 binary64)) (sqrt.f64 z))
(.f64 (neg.f64 (.f64 (sqrt.f64 z) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64)))) #s(literal 3 binary64))
(*.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 1/3 binary64))) (/.f64 (neg.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64))) (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (/.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))) (/.f64 (neg.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))))
(.f64 (/.f64 (neg.f64 (.f64 (sqrt.f64 z) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64)))) #s(literal 1/27 binary64)) #s(literal 1/9 binary64))
(.f64 (/.f64 (neg.f64 (.f64 (sqrt.f64 z) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64)))) #s(literal 1/9 binary64)) #s(literal 1/3 binary64))
(.f64 (/.f64 (neg.f64 (.f64 (sqrt.f64 z) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64)))) #s(literal -1/9 binary64)) #s(literal -1/3 binary64))

simplify228.0ms (2.6%)

Memory

4.2MiB live, 355.7MiB allocated

Algorithm

1×	egg-herbie

Rules

3 050×	`lower-*.f64`
3 050×	`lower-*.f32`
3 004×	`lower-/.f32`
3 004×	`lower-/.f64`
1 956×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	564
1	122	492
2	453	492
3	1827	492
4	4730	492
5	7704	492
0	8133	492

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

eval106.0ms (1.2%)

Memory: -15.3MiB live, 113.9MiB allocated
Compiler: Compiled 8 661 to 804 computations (90.7% saved)

prune86.0ms (1%)

Memory

-13.7MiB live, 105.2MiB allocated

Pruning

16 alts after pruning (9 fresh and 7 done)

	Pruned	Kept	Total
New	596	9	605
Fresh	0	0	0
Picked	3	1	4
Done	0	6	6
Total	599	16	615

Accuracy

99.7%

Counts

615 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.5%	(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
	88.5%	(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 z))) (.f64 (pow.f64 (E.f64) (.f64 #s(literal 1/2 binary64) (log.f64 z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
	89.9%	(.f64 (pow.f64 (E.f64) (.f64 #s(literal 1/2 binary64) (log.f64 z))) (/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
	90.0%	(.f64 (pow.f64 (E.f64) (.f64 #s(literal 1/2 binary64) (log.f64 z))) (*.f64 (sqrt.f64 z) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 0 binary64))))))
	96.5%	(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))
✓	97.2%	(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
	90.5%	(.f64 (sqrt.f64 z) (/.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 z))) (sqrt.f64 #s(literal 3 binary64))))
	95.7%	(.f64 (sqrt.f64 z) (.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 1/3 binary64))) (/.f64 (neg.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -3 binary64))) (sqrt.f64 #s(literal 1/3 binary64)))))
	94.4%	(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))) #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 0 binary64))))))
✓	96.9%	(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
	89.0%	(.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 z))) (.f64 (pow.f64 (E.f64) (.f64 #s(literal 1/2 binary64) (log.f64 z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
	90.5%	(.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 z))) (sqrt.f64 (*.f64 z #s(literal 1/3 binary64))))
✓	97.5%	(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
✓	43.9%	(sqrt.f64 (.f64 (fma.f64 y y (.f64 z z)) #s(literal 1/3 binary64)))
✓	42.2%	(sqrt.f64 (.f64 (.f64 z z) #s(literal 1/3 binary64)))
✓	42.2%	(sqrt.f64 (.f64 z (.f64 z #s(literal 1/3 binary64))))

Compiler

Compiled 540 to 272 computations (49.6% saved)

regimes68.0ms (0.8%)

Memory

14.0MiB live, 125.9MiB allocated

Accuracy

Total -37.4b remaining (-2343.5%)

Threshold costs -37.4b (-2343.5%)

Counts

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

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

Results

Accuracy	Segments	Branch
97.5%	1	`x`
97.5%	1	`y`
97.5%	1	`z`
97.5%	1	`(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))`
97.5%	1	`(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))`
97.5%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
97.5%	1	`(+.f64 (.f64 x x) (.f64 y y))`
97.5%	1	`(*.f64 x x)`
97.5%	1	`(*.f64 y y)`
97.5%	1	`(*.f64 z z)`

Compiler

Compiled 87 to 56 computations (35.6% saved)

simplify6.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	5	4

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness132.0ms (1.5%)

Memory

-23.0MiB live, 96.9MiB allocated

Rules

13 366×	`lower-fma.f64`
13 366×	`lower-fma.f32`
5 460×	`lower-*.f64`
5 460×	`lower-*.f32`
3 804×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	230	2478
1	673	2478
2	2272	2442
3	5706	2325
0	8198	2028

Stop Event

1×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 14 to 12 computations (14.3% saved)

preprocess78.0ms (0.9%)

Memory: 20.0MiB live, 174.2MiB allocated
Compiler: Compiled 174 to 128 computations (26.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

sample1.2s (13.6%)

preprocess42.0ms (0.5%)

explain303.0ms (3.4%)

eval0.0ms (0%)

prune10.0ms (0.1%)

simplify6.0ms (0.1%)

localize34.0ms (0.4%)

series13.0ms (0.2%)

rewrite381.0ms (4.3%)

simplify450.0ms (5.1%)

eval145.0ms (1.6%)

prune286.0ms (3.2%)

simplify8.0ms (0.1%)

localize434.0ms (4.9%)

series210.0ms (2.4%)

rewrite499.0ms (5.6%)

simplify639.0ms (7.2%)

eval128.0ms (1.4%)

prune95.0ms (1.1%)

simplify8.0ms (0.1%)

localize47.0ms (0.5%)

series7.0ms (0.1%)

rewrite1.2s (13.3%)

simplify215.0ms (2.4%)

eval385.0ms (4.4%)

prune309.0ms (3.5%)

simplify812.0ms (9.2%)

localize143.0ms (1.6%)

series88.0ms (1%)

rewrite69.0ms (0.8%)

simplify228.0ms (2.6%)

eval106.0ms (1.2%)

prune86.0ms (1%)

regimes68.0ms (0.8%)

simplify6.0ms (0.1%)

soundness132.0ms (1.5%)

preprocess78.0ms (0.9%)

end0.0ms (0%)

Profiling