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

analyze2.0ms (0%)

Memory

-35.6MiB live, 2.7MiB 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)

sample1.7s (16.9%)

Memory

19.2MiB live, 1 253.8MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 869.0ms

ival-div: 389.0ms (44.8% of total)

ival-mult: 247.0ms (28.4% of total)

ival-sqrt: 146.0ms (16.8% of total)

ival-add: 74.0ms (8.5% of total)

ival-true: 6.0ms (0.7% of total)

exact: 5.0ms (0.6% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

preprocess56.0ms (0.6%)

Memory

-5.5MiB live, 33.0MiB 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
1	15	14
2	22	14
3	24	14
0	24	12

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Symmetry

(abs z)

(abs y)

(abs x)

(sort x y z)

explain244.0ms (2.5%)

Memory

-18.7MiB live, 235.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
171	-	1	(2.0140393408826268e-245 2.5841199849606396e-235 1.263330708266227e-158)	`(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))`
0	-	0	-	`(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
0	-	0	-	`(+.f64 (.f64 x x) (.f64 y y))`
0	-	0	-	`(*.f64 z z)`
0	-	0	-	`y`
0	-	0	-	`(*.f64 y y)`
0	-	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	164	0
↳	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	overflow	164
↳	`(*.f64 y y)`	overflow	44
↳	`(*.f64 x x)`	overflow	1
↳	`(*.f64 z z)`	overflow	164
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	44
↳	`(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))`	overflow	164
`sqrt.f64`	`(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))`	uflow-rescue	6	0
↳	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	underflow	6
↳	`(*.f64 y y)`	underflow	38
↳	`(*.f64 x x)`	underflow	151
↳	`(*.f64 z z)`	underflow	6
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	38
↳	`(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))`	underflow	6

Confusion

	Predicted +	Predicted -
+	170	1
-	0	85

Precision

1.0

Recall

0.9941520467836257

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	170	0	1
-	0	0	85

Precision?

1.0

Recall?

0.9941520467836257

Freqs

test

number	freq
0	86
1	170

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

127.0ms

512×

valid

Compiler

Compiled 154 to 48 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-div: 29.0ms (39.9% of total)

ival-sqrt: 29.0ms (39.9% of total)

ival-mult: 10.0ms (13.7% of total)

ival-add: 5.0ms (6.9% 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	37.8%	(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)

simplify5.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize49.0ms (0.5%)

Memory

22.3MiB live, 61.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
✓	accuracy	37.8%	(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))

Samples

19.0ms

256×

valid

Compiler

Compiled 60 to 13 computations (78.3% saved)

Precisions

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

ival-mult: 5.0ms (46.3% of total)

ival-div: 2.0ms (18.5% of total)

ival-add: 2.0ms (18.5% of total)

ival-sqrt: 2.0ms (18.5% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.2%)

Memory

-15.6MiB live, 21.6MiB allocated

Counts

6 → 156

Calls

Call 1

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

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

Calls

39 calls:

Time	Variable		Point	Expression
5.0ms	z	@	inf	(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3))
1.0ms	y	@	0	(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3))
1.0ms	x	@	0	(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3))
1.0ms	x	@	inf	(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3))
1.0ms	z	@	0	(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3))

rewrite844.0ms (8.6%)

Memory

-82.8MiB live, 589.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	51
1	58	51
2	479	51
3	6610	51
0	8491	44

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 362

Calls

Call 1

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

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

simplify1.5s (15.5%)

Memory

2.5MiB live, 628.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	230	2514
1	673	2514
2	2272	2478
3	5706	2361
0	8198	2064

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

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)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)

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

eval90.0ms (0.9%)

Memory: -9.0MiB live, 183.7MiB allocated
Compiler: Compiled 18 758 to 1 616 computations (91.4% saved)

prune82.0ms (0.8%)

Memory

6.7MiB live, 167.7MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	513	5	518
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	514	5	519

Accuracy

98.2%

Counts

519 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	37.7%	(/.f64 (sqrt.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z)))) (sqrt.f64 #s(literal 3 binary64)))
▶	97.7%	(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
▶	37.5%	(sqrt.f64 (/.f64 (*.f64 z z) #s(literal 3 binary64)))
▶	37.8%	(sqrt.f64 (.f64 (fma.f64 y y (.f64 z z)) #s(literal 1/3 binary64)))
▶	37.5%	(sqrt.f64 (.f64 z (.f64 z #s(literal 1/3 binary64))))

Compiler

Compiled 106 to 76 computations (28.3% saved)

simplify7.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB 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×	`-lowering-.f32`
42×	`-lowering-.f64`
34×	`accelerator-lowering-fma.f32`
34×	`accelerator-lowering-fma.f64`
28×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	126
1	33	126
2	50	126
3	56	126
4	57	126
0	57	116

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize87.0ms (0.9%)

Memory

-29.0MiB live, 192.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	100.0%	(sqrt.f64 #s(literal 3 binary64))
✓	accuracy	99.4%	(/.f64 (sqrt.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z)))) (sqrt.f64 #s(literal 3 binary64)))
✓	accuracy	37.9%	(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	37.8%	(sqrt.f64 (/.f64 (*.f64 z z) #s(literal 3 binary64)))
✓	accuracy	100.0%	(fma.f64 y y (*.f64 z z))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.8%	(.f64 (fma.f64 y y (.f64 z z)) #s(literal 1/3 binary64))
✓	accuracy	37.8%	(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	99.5%	(*.f64 z #s(literal 1/3 binary64))
✓	accuracy	37.8%	(sqrt.f64 (.f64 z (.f64 z #s(literal 1/3 binary64))))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/3 binary64))
✓	accuracy	99.5%	(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))

Samples

46.0ms

256×

valid

Compiler

Compiled 118 to 24 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 11.0ms (34.7% of total)

ival-sqrt: 11.0ms (34.7% of total)

const: 4.0ms (12.6% of total)

ival-div: 3.0ms (9.5% of total)

ival-add: 2.0ms (6.3% of total)

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

exact: 0.0ms (0% of total)

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

series23.0ms (0.2%)

Memory

-22.1MiB live, 57.6MiB allocated

Counts

15 → 264

Calls

Call 1

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

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)>
#<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)))))>

Calls

66 calls:

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

rewrite346.0ms (3.5%)

Memory

46.7MiB live, 754.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 584×	`accelerator-lowering-fma.f32`
4 584×	`accelerator-lowering-fma.f64`
4 458×	`-lowering-.f32`
4 458×	`-lowering-.f64`
3 230×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	95
1	92	95
2	597	95
3	7151	95
0	9077	83

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 583

Calls

Call 1

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

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

simplify473.0ms (4.8%)

Memory

-21.8MiB live, 928.3MiB allocated

Algorithm

1×	egg-herbie

Rules

14 820×	`accelerator-lowering-fma.f32`
14 820×	`accelerator-lowering-fma.f64`
6 634×	`-lowering-.f32`
6 634×	`-lowering-.f64`
4 124×	`+-lowering-+.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 → 264

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))))

eval135.0ms (1.4%)

Memory: 27.7MiB live, 330.7MiB allocated
Compiler: Compiled 25 198 to 2 256 computations (91% saved)

prune100.0ms (1%)

Memory

9.7MiB live, 291.4MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	1 000	5	1 005
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	1 002	8	1 010

Accuracy

98.5%

Counts

1 010 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.1%	(/.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)))
▶	97.7%	(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
▶	96.9%	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) z)
▶	97.0%	(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
✓	97.7%	(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
✓	37.8%	(sqrt.f64 (.f64 (fma.f64 y y (.f64 z z)) #s(literal 1/3 binary64)))
▶	37.5%	(sqrt.f64 (.f64 (.f64 z z) #s(literal 1/3 binary64)))
✓	37.5%	(sqrt.f64 (.f64 z (.f64 z #s(literal 1/3 binary64))))

Compiler

Compiled 128 to 99 computations (22.7% saved)

simplify10.0ms (0.1%)

Memory

-21.9MiB live, 17.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))
✓	cost-diff	0	(/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
✓	cost-diff	12992	(/.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)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
✓	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	320	(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))
✓	cost-diff	1600	(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
✓	cost-diff	0	(sqrt.f64 #s(literal 3 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) z)
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(.f64 (.f64 z z) #s(literal 1/3 binary64))
✓	cost-diff	0	(sqrt.f64 (.f64 (.f64 z z) #s(literal 1/3 binary64)))
✓	cost-diff	0	(sqrt.f64 #s(literal 3 binary64))
✓	cost-diff	0	(/.f64 z (sqrt.f64 #s(literal 3 binary64)))

Rules

146×	`-lowering-.f32`
146×	`-lowering-.f64`
84×	`associate-r`
66×	`associate-l`
30×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	74
1	34	72
2	49	72
3	92	72
4	155	72
5	174	72
0	174	72

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ z (sqrt 3))
z
(sqrt 3)
3
(sqrt (* (* z z) 1/3))
(* (* z z) 1/3)
(* z z)
z
1/3
(* (/ 1 (sqrt 3)) z)
(/ 1 (sqrt 3))
1
(sqrt 3)
3
z
(* (sqrt z) (* (sqrt z) (/ 1 (sqrt 3))))
(sqrt z)
z
(* (sqrt z) (/ 1 (sqrt 3)))
(/ 1 (sqrt 3))
1
(sqrt 3)
3
(/ (/ z (pow 3 1/4)) (pow 3 1/4))
(/ z (pow 3 1/4))
z
(pow 3 1/4)
3
1/4

Outputs
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
z
(sqrt 3)
(sqrt.f64 #s(literal 3 binary64))
3
#s(literal 3 binary64)
(sqrt (* (* z z) 1/3))
(sqrt.f64 (.f64 z (.f64 z #s(literal 1/3 binary64))))
(* (* z z) 1/3)
(.f64 z (.f64 z #s(literal 1/3 binary64)))
(* z z)
(*.f64 z z)
z
1/3
#s(literal 1/3 binary64)
(* (/ 1 (sqrt 3)) z)
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ 1 (sqrt 3))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
1
#s(literal 1 binary64)
(sqrt 3)
(sqrt.f64 #s(literal 3 binary64))
3
#s(literal 3 binary64)
z
(* (sqrt z) (* (sqrt z) (/ 1 (sqrt 3))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(sqrt z)
(sqrt.f64 z)
z
(* (sqrt z) (/ 1 (sqrt 3)))
(/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64)))
(/ 1 (sqrt 3))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
1
#s(literal 1 binary64)
(sqrt 3)
(sqrt.f64 #s(literal 3 binary64))
3
#s(literal 3 binary64)
(/ (/ z (pow 3 1/4)) (pow 3 1/4))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (pow 3 1/4))
(/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
z
(pow 3 1/4)
(pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))
3
#s(literal 3 binary64)
1/4
#s(literal 1/4 binary64)

localize80.0ms (0.8%)

Memory

-14.0MiB live, 172.0MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))
✓	accuracy	99.4%	(/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
✓	accuracy	99.4%	(/.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)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 3 binary64))
✓	accuracy	99.5%	(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
✓	accuracy	99.4%	(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))
✓	accuracy	98.4%	(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 3 binary64))
✓	accuracy	99.5%	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) z)
✓	accuracy	98.4%	(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.8%	(.f64 (.f64 z z) #s(literal 1/3 binary64))
✓	accuracy	37.8%	(sqrt.f64 (.f64 (.f64 z z) #s(literal 1/3 binary64)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 3 binary64))
✓	accuracy	99.5%	(/.f64 z (sqrt.f64 #s(literal 3 binary64)))

Samples

43.0ms

256×

valid

Compiler

Compiled 89 to 22 computations (75.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-div: 7.0ms (24.2% of total)

ival-mult: 7.0ms (24.2% of total)

ival-sqrt: 6.0ms (20.8% of total)

ival-pow: 5.0ms (17.3% of total)

const: 3.0ms (10.4% of total)

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

exact: 0.0ms (0% of total)

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

series491.0ms (5%)

Memory

5.0MiB live, 118.8MiB allocated

Counts

13 → 120

Calls

Call 1

Inputs
#<alt (/ z (sqrt 3))>
#<alt (sqrt 3)>
#<alt (sqrt (* (* z z) 1/3))>
#<alt (* (* z z) 1/3)>
#<alt (* z z)>
#<alt (* (/ 1 (sqrt 3)) z)>
#<alt (/ 1 (sqrt 3))>
#<alt (* (sqrt z) (* (sqrt z) (/ 1 (sqrt 3))))>
#<alt (* (sqrt z) (/ 1 (sqrt 3)))>
#<alt (sqrt z)>
#<alt (/ (/ z (pow 3 1/4)) (pow 3 1/4))>
#<alt (/ z (pow 3 1/4))>
#<alt (pow 3 1/4)>

Outputs
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* z (sqrt 1/3))>
#<alt (* -1 (* z (sqrt 1/3)))>
#<alt (* -1 (* z (sqrt 1/3)))>
#<alt (* -1 (* z (sqrt 1/3)))>
#<alt (* -1 (* z (sqrt 1/3)))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 (pow z 2))>
#<alt (* 1/3 (pow z 2))>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (* -1 (/ (* z (pow (sqrt -1) 2)) (sqrt 3)))>
#<alt (* -1 (/ (* z (pow (sqrt -1) 2)) (sqrt 3)))>
#<alt (* -1 (/ (* z (pow (sqrt -1) 2)) (sqrt 3)))>
#<alt (* -1 (/ (* z (pow (sqrt -1) 2)) (sqrt 3)))>
#<alt (* (sqrt z) (/ 1 (sqrt 3)))>
#<alt (* (sqrt z) (/ 1 (sqrt 3)))>
#<alt (* (sqrt z) (/ 1 (sqrt 3)))>
#<alt (* (sqrt z) (/ 1 (sqrt 3)))>
#<alt (* (sqrt z) (/ 1 (sqrt 3)))>
#<alt (* (sqrt z) (/ 1 (sqrt 3)))>
#<alt (* (sqrt z) (/ 1 (sqrt 3)))>
#<alt (* (sqrt z) (/ 1 (sqrt 3)))>
#<alt (* -1 (* (sqrt z) (/ (pow (sqrt -1) 2) (sqrt 3))))>
#<alt (* -1 (* (sqrt z) (/ (pow (sqrt -1) 2) (sqrt 3))))>
#<alt (* -1 (* (sqrt z) (/ (pow (sqrt -1) 2) (sqrt 3))))>
#<alt (* -1 (* (sqrt z) (/ (pow (sqrt -1) 2) (sqrt 3))))>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))>
#<alt (* (pow 1/9 1/4) z)>
#<alt (* (pow 1/9 1/4) z)>
#<alt (* (pow 1/9 1/4) z)>
#<alt (* (pow 1/9 1/4) z)>
#<alt (* (pow 1/9 1/4) z)>
#<alt (* (pow 1/9 1/4) z)>
#<alt (* (pow 1/9 1/4) z)>
#<alt (* (pow 1/9 1/4) z)>
#<alt (* (pow 1/9 1/4) z)>
#<alt (* (pow 1/9 1/4) z)>
#<alt (* (pow 1/9 1/4) z)>
#<alt (* (pow 1/9 1/4) z)>
#<alt (* (pow 1/3 1/4) z)>
#<alt (* (pow 1/3 1/4) z)>
#<alt (* (pow 1/3 1/4) z)>
#<alt (* (pow 1/3 1/4) z)>
#<alt (* (pow 1/3 1/4) z)>
#<alt (* (pow 1/3 1/4) z)>
#<alt (* (pow 1/3 1/4) z)>
#<alt (* (pow 1/3 1/4) z)>
#<alt (* (pow 1/3 1/4) z)>
#<alt (* (pow 1/3 1/4) z)>
#<alt (* (pow 1/3 1/4) z)>
#<alt (* (pow 1/3 1/4) z)>

Calls

30 calls:

Time	Variable		Point	Expression
307.0ms	z	@	0	(/ z (pow 3 1/4))
177.0ms	z	@	0	(/ (/ z (pow 3 1/4)) (pow 3 1/4))
1.0ms	z	@	-inf	(* (sqrt z) (* (sqrt z) (/ 1 (sqrt 3))))
1.0ms	z	@	-inf	(* (sqrt z) (/ 1 (sqrt 3)))
1.0ms	z	@	inf	(/ z (sqrt 3))

rewrite697.0ms (7.1%)

Memory

26.1MiB live, 186.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 086×	`-lowering-.f32`
1 086×	`-lowering-.f64`
664×	`/-lowering-/.f32`
664×	`/-lowering-/.f64`
260×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	49
1	74	47
2	306	47
0	1722	47

Stop Event

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

Counts

13 → 731

Calls

Call 1

Inputs
(/ z (sqrt 3))
(sqrt 3)
(sqrt (* (* z z) 1/3))
(* (* z z) 1/3)
(* z z)
(* (/ 1 (sqrt 3)) z)
(/ 1 (sqrt 3))
(* (sqrt z) (* (sqrt z) (/ 1 (sqrt 3))))
(* (sqrt z) (/ 1 (sqrt 3)))
(sqrt z)
(/ (/ z (pow 3 1/4)) (pow 3 1/4))
(/ z (pow 3 1/4))
(pow 3 1/4)

Outputs
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 z (*.f64 z #s(literal 1/3 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))) (neg.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) (neg.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(sqrt.f64 (.f64 z (.f64 z #s(literal 1/3 binary64))))
(sqrt.f64 (/.f64 (*.f64 z z) #s(literal 3 binary64)))
(neg.f64 (neg.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 3 binary64))) z))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (*.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 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64)) (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -3/8 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 z) (sqrt.f64 (/.f64 #s(literal 3 binary64) z)))
(/.f64 (*.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 #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 (*.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 (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 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/8 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/8 binary64)))
(/.f64 (pow.f64 #s(literal 3 binary64) #s(literal -3/8 binary64)) (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64)) z))
(/.f64 (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64))) (neg.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) z)))
(/.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -3/8 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64)))
(/.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/8 binary64)) (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 3/8 binary64)) z))
(/.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/8 binary64)) (*.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) z) (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (pow.f64 #s(literal 3 binary64) #s(literal -1/8 binary64))) (.f64 (neg.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) z)) (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64))))
(/.f64 (*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 3/8 binary64)) z))
(/.f64 (.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/8 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64)) (neg.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) z))))
(/.f64 (.f64 (neg.f64 z) #s(literal -1 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 (.f64 (neg.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal -1/8 binary64))) (.f64 (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64))))
(/.f64 (.f64 (.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 3/8 binary64)))
(/.f64 (.f64 (.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/8 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64)) (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/8 binary64)))) (*.f64 (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64))))
(/.f64 (*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/8 binary64)) z) (pow.f64 #s(literal 3 binary64) #s(literal 3/8 binary64)))
(/.f64 (.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/8 binary64)) (neg.f64 z)) (.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64)) (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -3/8 binary64)))) (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64))))
(/.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (.f64 (neg.f64 (.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)))) #s(literal 1 binary64)) (neg.f64 (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)))) (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64))))
(/.f64 (*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) z)))
(/.f64 (.f64 (.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/8 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64)))
(/.f64 (.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/8 binary64)) (.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)))) (pow.f64 #s(literal 3 binary64) #s(literal 1/8 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 -3/8 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/16 binary64)))
(pow.f64 (.f64 z (.f64 z #s(literal 1/3 binary64))) #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 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(.f64 z (.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64))))
(.f64 z (.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 #s(literal 1 binary64) (.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) z)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (/.f64 z #s(literal 1 binary64)))
(.f64 (.f64 z (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64))
(.f64 (sqrt.f64 z) (sqrt.f64 (.f64 z #s(literal 1/3 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 1/3 binary64))) (sqrt.f64 z))
(.f64 (sqrt.f64 (.f64 z #s(literal 1/3 binary64))) (/.f64 (sqrt.f64 z) #s(literal 1 binary64)))
(.f64 (.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 #s(literal -1 binary64) (neg.f64 (.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 3 binary64))) z))
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 3 binary64))))
(.f64 (neg.f64 z) (.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 (neg.f64 z) (.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 z) (/.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 (.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 (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 (sqrt.f64 #s(literal 1/3 binary64)) z)
(.f64 (.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/8 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal -3/8 binary64)))
(.f64 (pow.f64 #s(literal 3 binary64) #s(literal -3/8 binary64)) (.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/8 binary64))))
(.f64 (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64))) (neg.f64 (.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 z))
(.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 z #s(literal 1/3 binary64)))))
(.f64 (pow.f64 (.f64 z (.f64 z #s(literal 1/3 binary64))) #s(literal 1/4 binary64)) (pow.f64 (.f64 z (*.f64 z #s(literal 1/3 binary64))) #s(literal 1/4 binary64)))
(.f64 (neg.f64 (.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal -1 binary64))
(.f64 (.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -3/8 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal -1/8 binary64)))
(.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/8 binary64)) (.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -3/8 binary64))))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/8 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 3/8 binary64)) z) #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 -1/4 binary64)) (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64)) z)))
(*.f64 (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64)) z) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 3/8 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 z (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64)))) (/.f64 (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64))))
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(.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64)) z)
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(.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64))))
(*.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)) (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))) (neg.f64 z))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) z)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))) (neg.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)))))
(neg.f64 (neg.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)))))
(neg.f64 (.f64 (neg.f64 (.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)))) #s(literal 1 binary64)))
(/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) z))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64)) (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) z)))
(/.f64 (neg.f64 z) (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 #s(literal 1 binary64) z))
(/.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/8 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/8 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)) z))
(/.f64 (.f64 (.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64)))
(/.f64 (*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/8 binary64)) z) (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64)))
(/.f64 (neg.f64 (*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/8 binary64)))) (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64))))
(/.f64 (/.f64 (neg.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64))))
(/.f64 (/.f64 (neg.f64 z) #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 -1/8 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/16 binary64)))
(pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) z) #s(literal -1 binary64))
(*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)))
(.f64 #s(literal 1 binary64) (.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64))))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (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 #s(literal -1 binary64) (neg.f64 (.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)))))
(*.f64 (neg.f64 z) (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64))))
(.f64 (neg.f64 z) (.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 -1/4 binary64)) z)
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(.f64 (.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/8 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal -1/8 binary64)))
(*.f64 (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64))) (neg.f64 z))
(.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/8 binary64)) (.f64 z (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 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64)) z) #s(literal -1 binary64)))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64))) (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64))) (/.f64 z (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64)))))
(*.f64 (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) z) #s(literal -1/2 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/4 binary64)) (sqrt.f64 z)) (sqrt.f64 z))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 9 binary64)) #s(literal 1/8 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(-.f64 #s(literal 0 binary64) (neg.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 #s(literal 1 binary64) (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 (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))
(pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 9 binary64) #s(literal 1/8 binary64))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 #s(literal 3 binary64)))
(*.f64 #s(literal 1 binary64) (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 #s(literal -1 binary64) (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/8 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)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64)) (neg.f64 (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64)))))
(.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/16 binary64)) (.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/16 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64))))
(*.f64 (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/16 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64)))) (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64)))

simplify293.0ms (3%)

Memory

-28.9MiB live, 170.9MiB allocated

Algorithm

1×	egg-herbie

Rules

1 504×	`-lowering-.f32`
1 504×	`-lowering-.f64`
1 504×	`accelerator-lowering-fma.f32`
1 504×	`accelerator-lowering-fma.f64`
1 502×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	520
1	63	496
2	146	496
3	353	496
4	1290	496
5	2471	496
6	3437	496
7	3765	496
8	3924	496
9	3966	496
10	3974	496
11	3974	496
12	3996	496
13	4004	496
14	4004	496
15	4004	496
16	4313	496
17	5059	496
18	5099	496
0	5099	496

Stop Event

1×	iter limit
1×	saturated

Counts

120 → 120

Calls

Call 1

Inputs
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(* z (sqrt 1/3))
(* z (sqrt 1/3))
(* z (sqrt 1/3))
(* z (sqrt 1/3))
(* z (sqrt 1/3))
(* z (sqrt 1/3))
(* z (sqrt 1/3))
(* z (sqrt 1/3))
(* -1 (* z (sqrt 1/3)))
(* -1 (* z (sqrt 1/3)))
(* -1 (* z (sqrt 1/3)))
(* -1 (* z (sqrt 1/3)))
(* 1/3 (pow z 2))
(* 1/3 (pow z 2))
(* 1/3 (pow z 2))
(* 1/3 (pow z 2))
(* 1/3 (pow z 2))
(* 1/3 (pow z 2))
(* 1/3 (pow z 2))
(* 1/3 (pow z 2))
(* 1/3 (pow z 2))
(* 1/3 (pow z 2))
(* 1/3 (pow z 2))
(* 1/3 (pow z 2))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(/ z (sqrt 3))
(* -1 (/ (* z (pow (sqrt -1) 2)) (sqrt 3)))
(* -1 (/ (* z (pow (sqrt -1) 2)) (sqrt 3)))
(* -1 (/ (* z (pow (sqrt -1) 2)) (sqrt 3)))
(* -1 (/ (* z (pow (sqrt -1) 2)) (sqrt 3)))
(* (sqrt z) (/ 1 (sqrt 3)))
(* (sqrt z) (/ 1 (sqrt 3)))
(* (sqrt z) (/ 1 (sqrt 3)))
(* (sqrt z) (/ 1 (sqrt 3)))
(* (sqrt z) (/ 1 (sqrt 3)))
(* (sqrt z) (/ 1 (sqrt 3)))
(* (sqrt z) (/ 1 (sqrt 3)))
(* (sqrt z) (/ 1 (sqrt 3)))
(* -1 (* (sqrt z) (/ (pow (sqrt -1) 2) (sqrt 3))))
(* -1 (* (sqrt z) (/ (pow (sqrt -1) 2) (sqrt 3))))
(* -1 (* (sqrt z) (/ (pow (sqrt -1) 2) (sqrt 3))))
(* -1 (* (sqrt z) (/ (pow (sqrt -1) 2) (sqrt 3))))
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* (pow 1/9 1/4) z)
(* (pow 1/9 1/4) z)
(* (pow 1/9 1/4) z)
(* (pow 1/9 1/4) z)
(* (pow 1/9 1/4) z)
(* (pow 1/9 1/4) z)
(* (pow 1/9 1/4) z)
(* (pow 1/9 1/4) z)
(* (pow 1/9 1/4) z)
(* (pow 1/9 1/4) z)
(* (pow 1/9 1/4) z)
(* (pow 1/9 1/4) z)
(* (pow 1/3 1/4) z)
(* (pow 1/3 1/4) z)
(* (pow 1/3 1/4) z)
(* (pow 1/3 1/4) z)
(* (pow 1/3 1/4) z)
(* (pow 1/3 1/4) z)
(* (pow 1/3 1/4) z)
(* (pow 1/3 1/4) z)
(* (pow 1/3 1/4) z)
(* (pow 1/3 1/4) z)
(* (pow 1/3 1/4) z)
(* (pow 1/3 1/4) z)

Outputs
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(* z (sqrt 1/3))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(* z (sqrt 1/3))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(* z (sqrt 1/3))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(* z (sqrt 1/3))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(* z (sqrt 1/3))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(* z (sqrt 1/3))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(* z (sqrt 1/3))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(* z (sqrt 1/3))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(* -1 (* z (sqrt 1/3)))
(neg.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(* -1 (* z (sqrt 1/3)))
(neg.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(* -1 (* z (sqrt 1/3)))
(neg.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(* -1 (* z (sqrt 1/3)))
(neg.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(* 1/3 (pow z 2))
(.f64 (.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)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/ z (sqrt 3))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(* -1 (/ (* z (pow (sqrt -1) 2)) (sqrt 3)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(* -1 (/ (* z (pow (sqrt -1) 2)) (sqrt 3)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(* -1 (/ (* z (pow (sqrt -1) 2)) (sqrt 3)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(* -1 (/ (* z (pow (sqrt -1) 2)) (sqrt 3)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(* (sqrt z) (/ 1 (sqrt 3)))
(/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64)))
(* (sqrt z) (/ 1 (sqrt 3)))
(/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64)))
(* (sqrt z) (/ 1 (sqrt 3)))
(/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64)))
(* (sqrt z) (/ 1 (sqrt 3)))
(/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64)))
(* (sqrt z) (/ 1 (sqrt 3)))
(/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64)))
(* (sqrt z) (/ 1 (sqrt 3)))
(/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64)))
(* (sqrt z) (/ 1 (sqrt 3)))
(/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64)))
(* (sqrt z) (/ 1 (sqrt 3)))
(/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64)))
(* -1 (* (sqrt z) (/ (pow (sqrt -1) 2) (sqrt 3))))
(/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64)))
(* -1 (* (sqrt z) (/ (pow (sqrt -1) 2) (sqrt 3))))
(/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64)))
(* -1 (* (sqrt z) (/ (pow (sqrt -1) 2) (sqrt 3))))
(/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64)))
(* -1 (* (sqrt z) (/ (pow (sqrt -1) 2) (sqrt 3))))
(/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64)))
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(sqrt.f64 z)
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(sqrt.f64 z)
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(sqrt.f64 z)
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(sqrt.f64 z)
(* (pow 1/9 1/4) z)
(*.f64 z (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)))
(* (pow 1/9 1/4) z)
(*.f64 z (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)))
(* (pow 1/9 1/4) z)
(*.f64 z (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)))
(* (pow 1/9 1/4) z)
(*.f64 z (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)))
(* (pow 1/9 1/4) z)
(*.f64 z (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)))
(* (pow 1/9 1/4) z)
(*.f64 z (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)))
(* (pow 1/9 1/4) z)
(*.f64 z (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)))
(* (pow 1/9 1/4) z)
(*.f64 z (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)))
(* (pow 1/9 1/4) z)
(*.f64 z (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)))
(* (pow 1/9 1/4) z)
(*.f64 z (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)))
(* (pow 1/9 1/4) z)
(*.f64 z (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)))
(* (pow 1/9 1/4) z)
(*.f64 z (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)))
(* (pow 1/3 1/4) z)
(*.f64 z (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)))
(* (pow 1/3 1/4) z)
(*.f64 z (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)))
(* (pow 1/3 1/4) z)
(*.f64 z (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)))
(* (pow 1/3 1/4) z)
(*.f64 z (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)))
(* (pow 1/3 1/4) z)
(*.f64 z (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)))
(* (pow 1/3 1/4) z)
(*.f64 z (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)))
(* (pow 1/3 1/4) z)
(*.f64 z (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)))
(* (pow 1/3 1/4) z)
(*.f64 z (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)))
(* (pow 1/3 1/4) z)
(*.f64 z (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)))
(* (pow 1/3 1/4) z)
(*.f64 z (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)))
(* (pow 1/3 1/4) z)
(*.f64 z (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)))
(* (pow 1/3 1/4) z)
(*.f64 z (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)))

eval111.0ms (1.1%)

Memory: 22.8MiB live, 298.1MiB allocated
Compiler: Compiled 10 173 to 1 026 computations (89.9% saved)

prune69.0ms (0.7%)

Memory

5.6MiB live, 205.3MiB allocated

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	999	7	1 006
Fresh	0	0	0
Picked	1	4	5
Done	0	3	3
Total	1 000	14	1 014

Accuracy

98.5%

Counts

1 014 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.5%	(/.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
✓	97.7%	(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
✓	96.9%	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) z)
▶	96.7%	(.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
▶	96.8%	(.f64 (sqrt.f64 z) (.f64 (/.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (/.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))))
▶	96.7%	(.f64 (sqrt.f64 z) (.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
✓	97.0%	(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
	90.5%	(.f64 (sqrt.f64 z) (.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
▶	90.8%	(.f64 (sqrt.f64 z) (exp.f64 (.f64 (log.f64 (*.f64 z #s(literal 1/3 binary64))) #s(literal 1/2 binary64))))
✓	97.7%	(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
✓	37.8%	(sqrt.f64 (.f64 (fma.f64 y y (.f64 z z)) #s(literal 1/3 binary64)))
✓	37.5%	(sqrt.f64 (.f64 (.f64 z z) #s(literal 1/3 binary64)))
✓	37.5%	(sqrt.f64 (.f64 z (.f64 z #s(literal 1/3 binary64))))
	89.4%	(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal -1 binary64)))

Compiler

Compiled 282 to 210 computations (25.5% saved)

simplify29.0ms (0.3%)

Memory

-2.1MiB live, 37.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (log.f64 (.f64 z #s(literal 1/3 binary64))) #s(literal 1/2 binary64))
✓	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	0	(.f64 (sqrt.f64 z) (exp.f64 (.f64 (log.f64 (*.f64 z #s(literal 1/3 binary64))) #s(literal 1/2 binary64))))
✓	cost-diff	12480	(exp.f64 (.f64 (log.f64 (.f64 z #s(literal 1/3 binary64))) #s(literal 1/2 binary64)))
✓	cost-diff	0	(sqrt.f64 (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 (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
✓	cost-diff	2240	(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))
✓	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	320	(.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))
✓	cost-diff	1600	(.f64 (sqrt.f64 z) (.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
✓	cost-diff	2240	(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))
✓	cost-diff	0	(sqrt.f64 #s(literal 3 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
✓	cost-diff	0	(/.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))
✓	cost-diff	0	(/.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
✓	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	1600	(.f64 (sqrt.f64 z) (.f64 (/.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (/.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))))
✓	cost-diff	25600	(*.f64 (/.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (/.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))

Rules

572×	`-lowering-.f32`
572×	`-lowering-.f64`
446×	`times-frac`
270×	`associate-r`
246×	`associate-l`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	27	209
1	61	207
2	133	179
3	300	128
4	477	121
5	680	121
6	818	121
7	861	121
8	904	121
9	904	121
10	936	121
0	936	121

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (sqrt z) (* (/ (pow z 1/4) (pow 3 1/4)) (/ (pow z 1/4) (pow 3 1/4))))
(sqrt z)
z
(* (/ (pow z 1/4) (pow 3 1/4)) (/ (pow z 1/4) (pow 3 1/4)))
(/ (pow z 1/4) (pow 3 1/4))
(pow z 1/4)
1/4
(pow 3 1/4)
3
(/ z (/ 1 (/ 1 (sqrt 3))))
z
(/ 1 (/ 1 (sqrt 3)))
1
(/ 1 (sqrt 3))
(sqrt 3)
3
(* (sqrt z) (* (* (sqrt (sqrt z)) (sqrt (sqrt z))) (/ 1 (sqrt 3))))
(sqrt z)
z
(* (* (sqrt (sqrt z)) (sqrt (sqrt z))) (/ 1 (sqrt 3)))
(* (sqrt (sqrt z)) (sqrt (sqrt z)))
(sqrt (sqrt z))
(/ 1 (sqrt 3))
1
(sqrt 3)
3
(* (* (sqrt (sqrt z)) (sqrt (sqrt z))) (* (sqrt z) (/ 1 (sqrt 3))))
(* (sqrt (sqrt z)) (sqrt (sqrt z)))
(sqrt (sqrt z))
(sqrt z)
z
(* (sqrt z) (/ 1 (sqrt 3)))
(/ 1 (sqrt 3))
1
(sqrt 3)
3
(* (sqrt z) (exp (* (log (* z 1/3)) 1/2)))
(sqrt z)
z
(exp (* (log (* z 1/3)) 1/2))
(* (log (* z 1/3)) 1/2)
(log (* z 1/3))
(* z 1/3)
1/3
1/2

Outputs
(* (sqrt z) (* (/ (pow z 1/4) (pow 3 1/4)) (/ (pow z 1/4) (pow 3 1/4))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(sqrt z)
(sqrt.f64 z)
z
(* (/ (pow z 1/4) (pow 3 1/4)) (/ (pow z 1/4) (pow 3 1/4)))
(/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64)))
(/ (pow z 1/4) (pow 3 1/4))
(/.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(pow z 1/4)
(pow.f64 z #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
(pow 3 1/4)
(pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))
3
#s(literal 3 binary64)
(/ z (/ 1 (/ 1 (sqrt 3))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
z
(/ 1 (/ 1 (sqrt 3)))
(sqrt.f64 #s(literal 3 binary64))
1
#s(literal 1 binary64)
(/ 1 (sqrt 3))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
(sqrt 3)
(sqrt.f64 #s(literal 3 binary64))
3
#s(literal 3 binary64)
(* (sqrt z) (* (* (sqrt (sqrt z)) (sqrt (sqrt z))) (/ 1 (sqrt 3))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(sqrt z)
(sqrt.f64 z)
z
(* (* (sqrt (sqrt z)) (sqrt (sqrt z))) (/ 1 (sqrt 3)))
(/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64)))
(* (sqrt (sqrt z)) (sqrt (sqrt z)))
(sqrt.f64 z)
(sqrt (sqrt z))
(sqrt.f64 (sqrt.f64 z))
(/ 1 (sqrt 3))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
1
#s(literal 1 binary64)
(sqrt 3)
(sqrt.f64 #s(literal 3 binary64))
3
#s(literal 3 binary64)
(* (* (sqrt (sqrt z)) (sqrt (sqrt z))) (* (sqrt z) (/ 1 (sqrt 3))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(* (sqrt (sqrt z)) (sqrt (sqrt z)))
(sqrt.f64 z)
(sqrt (sqrt z))
(sqrt.f64 (sqrt.f64 z))
(sqrt z)
(sqrt.f64 z)
z
(* (sqrt z) (/ 1 (sqrt 3)))
(/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64)))
(/ 1 (sqrt 3))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
1
#s(literal 1 binary64)
(sqrt 3)
(sqrt.f64 #s(literal 3 binary64))
3
#s(literal 3 binary64)
(* (sqrt z) (exp (* (log (* z 1/3)) 1/2)))
(.f64 (sqrt.f64 z) (sqrt.f64 (.f64 z #s(literal 1/3 binary64))))
(sqrt z)
(sqrt.f64 z)
z
(exp (* (log (* z 1/3)) 1/2))
(sqrt.f64 (*.f64 z #s(literal 1/3 binary64)))
(* (log (* z 1/3)) 1/2)
(.f64 (log.f64 (.f64 z #s(literal 1/3 binary64))) #s(literal 1/2 binary64))
(log (* z 1/3))
(log.f64 (*.f64 z #s(literal 1/3 binary64)))
(* z 1/3)
(*.f64 z #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
1/2
#s(literal 1/2 binary64)

localize157.0ms (1.6%)

Memory

-37.7MiB live, 330.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f64 (*.f64 z #s(literal 1/3 binary64)))
✓	accuracy	99.5%	(.f64 (sqrt.f64 z) (exp.f64 (.f64 (log.f64 (*.f64 z #s(literal 1/3 binary64))) #s(literal 1/2 binary64))))
✓	accuracy	99.5%	(*.f64 z #s(literal 1/3 binary64))
✓	accuracy	92.2%	(exp.f64 (.f64 (log.f64 (.f64 z #s(literal 1/3 binary64))) #s(literal 1/2 binary64)))
✓	accuracy	99.5%	(.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.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	99.1%	(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))
✓	accuracy	98.4%	(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
✓	accuracy	99.5%	(.f64 (sqrt.f64 z) (.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
✓	accuracy	99.4%	(.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))
✓	accuracy	99.1%	(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))
✓	accuracy	98.4%	(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 3 binary64))
✓	accuracy	99.5%	(/.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
✓	accuracy	98.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))
✓	accuracy	98.4%	(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
✓	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	99.5%	(.f64 (sqrt.f64 z) (.f64 (/.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (/.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))))
✓	accuracy	99.4%	(/.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
✓	accuracy	99.1%	(*.f64 (/.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (/.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))

Samples

71.0ms

256×

valid

Compiler

Compiled 202 to 31 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 13.0ms (26.1% of total)

ival-pow: 11.0ms (22.1% of total)

ival-div: 6.0ms (12% of total)

ival-exp: 6.0ms (12% of total)

ival-sqrt: 6.0ms (12% of total)

ival-log: 4.0ms (8% of total)

const: 4.0ms (8% of total)

exact: 1.0ms (2% of total)

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

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

series98.0ms (1%)

Memory

36.7MiB live, 272.7MiB allocated

Counts

19 → 192

Calls

Call 1

Inputs
#<alt (* (/ (pow z 1/4) (pow 3 1/4)) (/ (pow z 1/4) (pow 3 1/4)))>
#<alt (* (sqrt z) (* (/ (pow z 1/4) (pow 3 1/4)) (/ (pow z 1/4) (pow 3 1/4))))>
#<alt (sqrt z)>
#<alt (/ (pow z 1/4) (pow 3 1/4))>
#<alt (/ 1 (/ 1 (sqrt 3)))>
#<alt (/ z (/ 1 (/ 1 (sqrt 3))))>
#<alt (/ 1 (sqrt 3))>
#<alt (sqrt 3)>
#<alt (* (sqrt (sqrt z)) (sqrt (sqrt z)))>
#<alt (* (sqrt z) (* (* (sqrt (sqrt z)) (sqrt (sqrt z))) (/ 1 (sqrt 3))))>
#<alt (* (* (sqrt (sqrt z)) (sqrt (sqrt z))) (/ 1 (sqrt 3)))>
#<alt (* (* (sqrt (sqrt z)) (sqrt (sqrt z))) (* (sqrt z) (/ 1 (sqrt 3))))>
#<alt (* (sqrt z) (/ 1 (sqrt 3)))>
#<alt (sqrt (sqrt z))>
#<alt (exp (* (log (* z 1/3)) 1/2))>
#<alt (* (sqrt z) (exp (* (log (* z 1/3)) 1/2)))>
#<alt (* (log (* z 1/3)) 1/2)>
#<alt (* z 1/3)>
#<alt (log (* z 1/3))>

Outputs
#<alt (* (sqrt z) (sqrt 1/3))>
#<alt (* (sqrt z) (sqrt 1/3))>
#<alt (* (sqrt z) (sqrt 1/3))>
#<alt (* (sqrt z) (sqrt 1/3))>
#<alt (* (sqrt z) (sqrt 1/3))>
#<alt (* (sqrt z) (sqrt 1/3))>
#<alt (* (sqrt z) (sqrt 1/3))>
#<alt (* (sqrt z) (sqrt 1/3))>
#<alt (* -1 (* (sqrt z) (* (sqrt -1) (sqrt -1/3))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -1) (sqrt -1/3))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -1) (sqrt -1/3))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -1) (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) (sqrt -1/3))))>
#<alt (* -1 (* z (* (sqrt -1) (sqrt -1/3))))>
#<alt (* -1 (* z (* (sqrt -1) (sqrt -1/3))))>
#<alt (* -1 (* z (* (sqrt -1) (sqrt -1/3))))>
#<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 (exp (* 1/4 (+ (log 1/3) (log z))))>
#<alt (exp (* 1/4 (+ (log 1/3) (log z))))>
#<alt (exp (* 1/4 (+ (log 1/3) (log z))))>
#<alt (exp (* 1/4 (+ (log 1/3) (log z))))>
#<alt (exp (* 1/4 (+ (log 1/3) (* -1 (log (/ 1 z))))))>
#<alt (exp (* 1/4 (+ (log 1/3) (* -1 (log (/ 1 z))))))>
#<alt (exp (* 1/4 (+ (log 1/3) (* -1 (log (/ 1 z))))))>
#<alt (exp (* 1/4 (+ (log 1/3) (* -1 (log (/ 1 z))))))>
#<alt (exp (* 1/4 (+ (log -1/3) (* -1 (log (/ -1 z))))))>
#<alt (exp (* 1/4 (+ (log -1/3) (* -1 (log (/ -1 z))))))>
#<alt (exp (* 1/4 (+ (log -1/3) (* -1 (log (/ -1 z))))))>
#<alt (exp (* 1/4 (+ (log -1/3) (* -1 (log (/ -1 z))))))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (/ z (sqrt 3))>
#<alt (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 (/ 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 (pow (* 1 z) 1/4)>
#<alt (pow (* 1 z) 1/4)>
#<alt (pow (* 1 z) 1/4)>
#<alt (pow (* 1 z) 1/4)>
#<alt (pow (* 1 z) 1/4)>
#<alt (pow (* 1 z) 1/4)>
#<alt (pow (* 1 z) 1/4)>
#<alt (pow (* 1 z) 1/4)>
#<alt (* (pow (* -1 z) 1/4) (sqrt (sqrt -1)))>
#<alt (* (pow (* -1 z) 1/4) (sqrt (sqrt -1)))>
#<alt (* (pow (* -1 z) 1/4) (sqrt (sqrt -1)))>
#<alt (* (pow (* -1 z) 1/4) (sqrt (sqrt -1)))>
#<alt (* (sqrt z) (sqrt 1/3))>
#<alt (* (sqrt z) (sqrt 1/3))>
#<alt (* (sqrt z) (sqrt 1/3))>
#<alt (* (sqrt z) (sqrt 1/3))>
#<alt (* (sqrt z) (sqrt 1/3))>
#<alt (* (sqrt z) (sqrt 1/3))>
#<alt (* (sqrt z) (sqrt 1/3))>
#<alt (* (sqrt z) (sqrt 1/3))>
#<alt (* -1 (* (sqrt z) (* (sqrt -1) (sqrt -1/3))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -1) (sqrt -1/3))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -1) (sqrt -1/3))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -1) (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) (sqrt -1/3))))>
#<alt (* -1 (* z (* (sqrt -1) (sqrt -1/3))))>
#<alt (* -1 (* z (* (sqrt -1) (sqrt -1/3))))>
#<alt (* -1 (* z (* (sqrt -1) (sqrt -1/3))))>
#<alt (* 1/2 (+ (log 1/3) (log z)))>
#<alt (* 1/2 (+ (log 1/3) (log z)))>
#<alt (* 1/2 (+ (log 1/3) (log z)))>
#<alt (* 1/2 (+ (log 1/3) (log z)))>
#<alt (* 1/2 (+ (log 1/3) (* -1 (log (/ 1 z)))))>
#<alt (* 1/2 (+ (log 1/3) (* -1 (log (/ 1 z)))))>
#<alt (* 1/2 (+ (log 1/3) (* -1 (log (/ 1 z)))))>
#<alt (* 1/2 (+ (log 1/3) (* -1 (log (/ 1 z)))))>
#<alt (* 1/2 (+ (log -1/3) (* -1 (log (/ -1 z)))))>
#<alt (* 1/2 (+ (log -1/3) (* -1 (log (/ -1 z)))))>
#<alt (* 1/2 (+ (log -1/3) (* -1 (log (/ -1 z)))))>
#<alt (* 1/2 (+ (log -1/3) (* -1 (log (/ -1 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 (* 1/3 z)>
#<alt (+ (log 1/3) (log z))>
#<alt (+ (log 1/3) (log z))>
#<alt (+ (log 1/3) (log z))>
#<alt (+ (log 1/3) (log z))>
#<alt (+ (log 1/3) (* -1 (log (/ 1 z))))>
#<alt (+ (log 1/3) (* -1 (log (/ 1 z))))>
#<alt (+ (log 1/3) (* -1 (log (/ 1 z))))>
#<alt (+ (log 1/3) (* -1 (log (/ 1 z))))>
#<alt (+ (log -1/3) (* -1 (log (/ -1 z))))>
#<alt (+ (log -1/3) (* -1 (log (/ -1 z))))>
#<alt (+ (log -1/3) (* -1 (log (/ -1 z))))>
#<alt (+ (log -1/3) (* -1 (log (/ -1 z))))>

Calls

48 calls:

Time	Variable		Point	Expression
31.0ms	z	@	-inf	(/ (pow z 1/4) (pow 3 1/4))
16.0ms	z	@	0	(sqrt (sqrt z))
9.0ms	z	@	inf	(/ (pow z 1/4) (pow 3 1/4))
8.0ms	z	@	0	(* (log (* z 1/3)) 1/2)
8.0ms	z	@	0	(/ (pow z 1/4) (pow 3 1/4))

rewrite316.0ms (3.2%)

Memory

-19.8MiB live, 691.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 902×	`-lowering-.f32`
2 902×	`-lowering-.f64`
2 546×	`accelerator-lowering-fma.f32`
2 546×	`accelerator-lowering-fma.f64`
1 484×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	131
1	117	70
2	584	70
3	4376	67
0	8340	67

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1 950

Calls

Call 1

Inputs
(* (/ (pow z 1/4) (pow 3 1/4)) (/ (pow z 1/4) (pow 3 1/4)))
(* (sqrt z) (* (/ (pow z 1/4) (pow 3 1/4)) (/ (pow z 1/4) (pow 3 1/4))))
(sqrt z)
(/ (pow z 1/4) (pow 3 1/4))
(/ 1 (/ 1 (sqrt 3)))
(/ z (/ 1 (/ 1 (sqrt 3))))
(/ 1 (sqrt 3))
(sqrt 3)
(* (sqrt (sqrt z)) (sqrt (sqrt z)))
(* (sqrt z) (* (* (sqrt (sqrt z)) (sqrt (sqrt z))) (/ 1 (sqrt 3))))
(* (* (sqrt (sqrt z)) (sqrt (sqrt z))) (/ 1 (sqrt 3)))
(* (* (sqrt (sqrt z)) (sqrt (sqrt z))) (* (sqrt z) (/ 1 (sqrt 3))))
(* (sqrt z) (/ 1 (sqrt 3)))
(sqrt (sqrt z))
(exp (* (log (* z 1/3)) 1/2))
(* (sqrt z) (exp (* (log (* z 1/3)) 1/2)))
(* (log (* z 1/3)) 1/2)
(* z 1/3)
(log (* z 1/3))

Outputs
(exp.f64 (.f64 (log.f64 (.f64 z #s(literal 1/3 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 z #s(literal 1/3 binary64))))))
(exp.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 z #s(literal 1/3 binary64)))) (neg.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 z #s(literal 1/3 binary64)))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 z #s(literal 1/3 binary64)))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (neg.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 z #s(literal 1/3 binary64))))) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 3 binary64) z))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 z #s(literal 1/3 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 z #s(literal 1/3 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 z #s(literal 1/3 binary64))))) #s(literal 1 binary64)))
(exp.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 z #s(literal 1/3 binary64)))) (neg.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 z #s(literal 1/3 binary64)))))) #s(literal 1 binary64)))
(exp.f64 (.f64 (+.f64 (neg.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 z #s(literal 1/3 binary64))))) (neg.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 z #s(literal 1/3 binary64)))))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 z #s(literal 1/3 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (neg.f64 (+.f64 (neg.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 z #s(literal 1/3 binary64))))) (neg.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 z #s(literal 1/3 binary64))))))))
(exp.f64 (neg.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 3 binary64) z)))))
(sqrt.f64 (*.f64 z #s(literal 1/3 binary64)))
(neg.f64 (sqrt.f64 (*.f64 z #s(literal 1/3 binary64))))
(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64)))) (/.f64 (sqrt.f64 (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (sqrt.f64 z))))
(/.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 (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal -3/8 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) z))))
(/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(/.f64 (sqrt.f64 (sqrt.f64 z)) (/.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (sqrt.f64 z))))
(/.f64 (sqrt.f64 (*.f64 z #s(literal 1/3 binary64))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (*.f64 z #s(literal 1/3 binary64))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (*.f64 z #s(literal 1/3 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 3 binary64) z)))
(/.f64 (sqrt.f64 (/.f64 (sqrt.f64 z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 z))))
(/.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64)))) (sqrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64)))) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))) (.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))))))
(/.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64)))))) (*.f64 (/.f64 (sqrt.f64 (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (sqrt.f64 z))) (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64))))
(/.f64 (*.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal -3/8 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64)))
(/.f64 (*.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal -3/8 binary64))) (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))))) (.f64 (/.f64 (sqrt.f64 (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (sqrt.f64 z))) (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))))) (.f64 (/.f64 (sqrt.f64 (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (sqrt.f64 z))) (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64))))
(/.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))))) (pow.f64 #s(literal 3 binary64) #s(literal 3/8 binary64)))
(/.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))))) (.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 3 binary64)))) (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64))))
(/.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64)))))) #s(literal 1 binary64)) (.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64)) (/.f64 (sqrt.f64 (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (sqrt.f64 z)))))
(/.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64)))))) (sqrt.f64 (sqrt.f64 z))) (pow.f64 #s(literal 3 binary64) #s(literal 3/8 binary64)))
(/.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64)))))) (sqrt.f64 (sqrt.f64 z))) (.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64)) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 3 binary64))))))
(/.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64)))))) #s(literal -1 binary64)) (.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64)) (/.f64 (sqrt.f64 (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (sqrt.f64 z)))))
(/.f64 (*.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal -1/8 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/8 binary64)))
(/.f64 (.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal -1/8 binary64))) (.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 3 binary64)))) (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal -3/8 binary64)))) (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64))))
(/.f64 (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/8 binary64)))
(/.f64 (/.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64)))))))
(/.f64 (.f64 (.f64 (sqrt.f64 z) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (sqrt.f64 z))))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))) (.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))) (sqrt.f64 (sqrt.f64 z))) (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal -3/8 binary64)))) (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64)))
(/.f64 (.f64 (.f64 (sqrt.f64 z) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64)))))) (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))) (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64)))
(/.f64 (/.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal -1 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (/.f64 (*.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal -3/8 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/16 binary64)))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (log.f64 (/.f64 z #s(literal 1/3 binary64))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 z #s(literal 1/3 binary64))))))
(pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal 1/3 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 z #s(literal 1/3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (sqrt.f64 z))) #s(literal -2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 z #s(literal 1/3 binary64))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (log.f64 (.f64 z #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 (log.f64 (.f64 z #s(literal 1/3 binary64))) #s(literal 2 binary64)) (/.f64 (log.f64 (.f64 z #s(literal 1/3 binary64))) #s(literal 2 binary64))))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 3 binary64) z)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64)))))) #s(literal -4 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))) #s(literal 4 binary64))
(pow.f64 (.f64 (.f64 z #s(literal 1/3 binary64)) (*.f64 z #s(literal 1/3 binary64))) #s(literal 1/4 binary64))
(pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal -3/8 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (.f64 z #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 #s(literal 1/3 binary64)) (log.f64 (/.f64 #s(literal 1/3 binary64) z)) (pow.f64 (log.f64 z) #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (log.f64 (.f64 z #s(literal 1/3 binary64))) (log.f64 (/.f64 z #s(literal 1/3 binary64))))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 z #s(literal 1/3 binary64)))))
(pow.f64 (.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) (/.f64 (log.f64 (.f64 z #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 z #s(literal 1/3 binary64)))))
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(.f64 (sqrt.f64 (.f64 z #s(literal 1/3 binary64))) #s(literal 1 binary64))
(.f64 (sqrt.f64 (.f64 z #s(literal 1/3 binary64))) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 z #s(literal 1/3 binary64))))
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(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (.f64 (sqrt.f64 (*.f64 z (sqrt.f64 z))) #s(literal 1/3 binary64))))
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(.f64 (sqrt.f64 (sqrt.f64 (.f64 z (sqrt.f64 z)))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 1/3 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 z (sqrt.f64 z)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1/3 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 z (sqrt.f64 z)))) (sqrt.f64 (/.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 3 binary64))))
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(.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 z)))) (sqrt.f64 (sqrt.f64 (*.f64 z (sqrt.f64 z)))))
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(.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 z (sqrt.f64 z))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))
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(exp.f64 (.f64 (log.f64 (.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 z) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 z (.f64 z #s(literal 1/3 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64)))
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(exp.f64 (.f64 (fma.f64 (log.f64 (.f64 z #s(literal 1/3 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 z))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(sqrt.f64 (.f64 z (.f64 z #s(literal 1/3 binary64))))
(sqrt.f64 (/.f64 (*.f64 z z) #s(literal 3 binary64)))
(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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (sqrt.f64 #s(literal 3 binary64))) (*.f64 z (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))))
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(/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) z))
(/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal -1 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 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
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(/.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 1/3 binary64)) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 z))))
(/.f64 (sqrt.f64 (*.f64 z (sqrt.f64 z))) (/.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (sqrt.f64 z))))
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(-.f64 #s(literal 0 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
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(fma.f64 (.f64 #s(literal 1/2 binary64) (log.f64 z)) #s(literal 1/2 binary64) (log.f64 (/.f64 (sqrt.f64 (.f64 z (sqrt.f64 z))) #s(literal 3 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 z)) #s(literal 2 binary64) (log.f64 #s(literal 1/3 binary64)))
(fma.f64 (.f64 #s(literal 1/4 binary64) (log.f64 z)) #s(literal 1 binary64) (log.f64 (.f64 (sqrt.f64 (*.f64 z (sqrt.f64 z))) #s(literal 1/3 binary64))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (log.f64 z)) #s(literal 1 binary64) (log.f64 (/.f64 (sqrt.f64 (.f64 z (sqrt.f64 z))) #s(literal 3 binary64))))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 z)) #s(literal 2 binary64) (log.f64 (/.f64 (sqrt.f64 z) #s(literal 3 binary64))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (log.f64 z)) #s(literal 2 binary64) (log.f64 (.f64 (sqrt.f64 z) #s(literal 1/3 binary64))))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 z)) #s(literal 4 binary64) (log.f64 #s(literal 1/3 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/4 binary64) (log.f64 z)) (log.f64 #s(literal 1/3 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 (log.f64 z) #s(literal 1/8 binary64)) (log.f64 (/.f64 (sqrt.f64 z) #s(literal 3 binary64))))
(fma.f64 #s(literal 4 binary64) (.f64 (log.f64 z) #s(literal 1/8 binary64)) (log.f64 (.f64 (sqrt.f64 z) #s(literal 1/3 binary64))))
(fma.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 #s(literal 1/3 binary64)) (log.f64 (/.f64 #s(literal 1/3 binary64) z)) (pow.f64 (log.f64 z) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (.f64 (log.f64 (.f64 z #s(literal 1/3 binary64))) (log.f64 (/.f64 z #s(literal 1/3 binary64)))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 z #s(literal 1/3 binary64)))) #s(literal 0 binary64))
(fma.f64 (.f64 (log.f64 z) #s(literal 1/8 binary64)) #s(literal 2 binary64) (log.f64 (.f64 (sqrt.f64 (*.f64 z (sqrt.f64 z))) #s(literal 1/3 binary64))))
(fma.f64 (.f64 (log.f64 z) #s(literal 1/8 binary64)) #s(literal 2 binary64) (log.f64 (/.f64 (sqrt.f64 (.f64 z (sqrt.f64 z))) #s(literal 3 binary64))))
(fma.f64 (log.f64 (*.f64 z z)) #s(literal 1/4 binary64) (log.f64 (/.f64 (sqrt.f64 z) #s(literal 3 binary64))))
(fma.f64 (log.f64 (.f64 z z)) #s(literal 1/4 binary64) (log.f64 (.f64 (sqrt.f64 z) #s(literal 1/3 binary64))))
(fma.f64 (log.f64 (*.f64 z z)) #s(literal 1/2 binary64) (log.f64 #s(literal 1/3 binary64)))
(fma.f64 (log.f64 (.f64 z z)) #s(literal 1/8 binary64) (log.f64 (.f64 (sqrt.f64 (*.f64 z (sqrt.f64 z))) #s(literal 1/3 binary64))))
(fma.f64 (log.f64 (.f64 z z)) #s(literal 1/8 binary64) (log.f64 (/.f64 (sqrt.f64 (.f64 z (sqrt.f64 z))) #s(literal 3 binary64))))
(fma.f64 #s(literal 8 binary64) (*.f64 (log.f64 z) #s(literal 1/8 binary64)) (log.f64 #s(literal 1/3 binary64)))
(fma.f64 #s(literal 3/4 binary64) (log.f64 z) (log.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1/3 binary64))))
(fma.f64 #s(literal 3/4 binary64) (log.f64 z) (log.f64 (/.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 3 binary64))))
(fma.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 z)) (log.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1/3 binary64))))
(fma.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 z)) (log.f64 (/.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 3 binary64))))
(fma.f64 #s(literal 3/8 binary64) (log.f64 (.f64 z z)) (log.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1/3 binary64))))
(fma.f64 #s(literal 3/8 binary64) (log.f64 (*.f64 z z)) (log.f64 (/.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 3 binary64))))
(neg.f64 (log.f64 (/.f64 #s(literal 3 binary64) z)))
(neg.f64 (log.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 #s(literal 1/3 binary64)) (log.f64 (/.f64 #s(literal 1/3 binary64) z)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 z #s(literal 1/3 binary64))) (.f64 (log.f64 (.f64 z #s(literal 1/3 binary64))) (log.f64 (/.f64 z #s(literal 1/3 binary64))))))
(/.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 1/3 binary64)) (log.f64 (/.f64 #s(literal 1/3 binary64) z)) (pow.f64 (log.f64 z) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (log.f64 z) (log.f64 #s(literal 1/3 binary64))))))
(/.f64 (.f64 (log.f64 (.f64 z #s(literal 1/3 binary64))) (log.f64 (/.f64 z #s(literal 1/3 binary64)))) (log.f64 (/.f64 z #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(literal 1/3 binary64)) (log.f64 (/.f64 #s(literal 1/3 binary64) z)) (pow.f64 (log.f64 z) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (log.f64 (.f64 z #s(literal 1/3 binary64))) (log.f64 (/.f64 z #s(literal 1/3 binary64))))) (neg.f64 (log.f64 (/.f64 z #s(literal 1/3 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1/3 binary64) z)))
(pow.f64 (/.f64 (fma.f64 (log.f64 #s(literal 1/3 binary64)) (log.f64 (/.f64 #s(literal 1/3 binary64) z)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (log.f64 (/.f64 z #s(literal 1/3 binary64))) (.f64 (log.f64 (.f64 z #s(literal 1/3 binary64))) (log.f64 (/.f64 z #s(literal 1/3 binary64))))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 #s(literal 1/3 binary64)) (log.f64 (/.f64 #s(literal 1/3 binary64) z)) (pow.f64 (log.f64 z) #s(literal 2 binary64)))))
(.f64 (.f64 (log.f64 (*.f64 z #s(literal 1/3 binary64))) (log.f64 (/.f64 z #s(literal 1/3 binary64)))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 z #s(literal 1/3 binary64)))))

simplify315.0ms (3.2%)

Memory

4.3MiB live, 405.3MiB allocated

Algorithm

1×	egg-herbie

Rules

2 908×	`accelerator-lowering-fma.f32`
2 908×	`accelerator-lowering-fma.f64`
2 656×	`-lowering-.f32`
2 656×	`-lowering-.f64`
1 186×	`div-sub`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	61	996
1	154	940
2	394	928
3	922	904
4	1652	896
5	2936	896
6	4361	896
7	5411	896
8	6233	896
9	6477	896
10	6598	896
11	7489	896
0	8307	896

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
(* (sqrt z) (sqrt 1/3))
(* (sqrt z) (sqrt 1/3))
(* (sqrt z) (sqrt 1/3))
(* (sqrt z) (sqrt 1/3))
(* (sqrt z) (sqrt 1/3))
(* (sqrt z) (sqrt 1/3))
(* (sqrt z) (sqrt 1/3))
(* (sqrt z) (sqrt 1/3))
(* -1 (* (sqrt z) (* (sqrt -1) (sqrt -1/3))))
(* -1 (* (sqrt z) (* (sqrt -1) (sqrt -1/3))))
(* -1 (* (sqrt z) (* (sqrt -1) (sqrt -1/3))))
(* -1 (* (sqrt z) (* (sqrt -1) (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) (sqrt -1/3))))
(* -1 (* z (* (sqrt -1) (sqrt -1/3))))
(* -1 (* z (* (sqrt -1) (sqrt -1/3))))
(* -1 (* z (* (sqrt -1) (sqrt -1/3))))
(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)))
(exp (* 1/4 (+ (log 1/3) (log z))))
(exp (* 1/4 (+ (log 1/3) (log z))))
(exp (* 1/4 (+ (log 1/3) (log z))))
(exp (* 1/4 (+ (log 1/3) (log z))))
(exp (* 1/4 (+ (log 1/3) (* -1 (log (/ 1 z))))))
(exp (* 1/4 (+ (log 1/3) (* -1 (log (/ 1 z))))))
(exp (* 1/4 (+ (log 1/3) (* -1 (log (/ 1 z))))))
(exp (* 1/4 (+ (log 1/3) (* -1 (log (/ 1 z))))))
(exp (* 1/4 (+ (log -1/3) (* -1 (log (/ -1 z))))))
(exp (* 1/4 (+ (log -1/3) (* -1 (log (/ -1 z))))))
(exp (* 1/4 (+ (log -1/3) (* -1 (log (/ -1 z))))))
(exp (* 1/4 (+ (log -1/3) (* -1 (log (/ -1 z))))))
(/ 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))
(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))))
(/ 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))))
(pow (* 1 z) 1/4)
(pow (* 1 z) 1/4)
(pow (* 1 z) 1/4)
(pow (* 1 z) 1/4)
(pow (* 1 z) 1/4)
(pow (* 1 z) 1/4)
(pow (* 1 z) 1/4)
(pow (* 1 z) 1/4)
(* (pow (* -1 z) 1/4) (sqrt (sqrt -1)))
(* (pow (* -1 z) 1/4) (sqrt (sqrt -1)))
(* (pow (* -1 z) 1/4) (sqrt (sqrt -1)))
(* (pow (* -1 z) 1/4) (sqrt (sqrt -1)))
(* (sqrt z) (sqrt 1/3))
(* (sqrt z) (sqrt 1/3))
(* (sqrt z) (sqrt 1/3))
(* (sqrt z) (sqrt 1/3))
(* (sqrt z) (sqrt 1/3))
(* (sqrt z) (sqrt 1/3))
(* (sqrt z) (sqrt 1/3))
(* (sqrt z) (sqrt 1/3))
(* -1 (* (sqrt z) (* (sqrt -1) (sqrt -1/3))))
(* -1 (* (sqrt z) (* (sqrt -1) (sqrt -1/3))))
(* -1 (* (sqrt z) (* (sqrt -1) (sqrt -1/3))))
(* -1 (* (sqrt z) (* (sqrt -1) (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) (sqrt -1/3))))
(* -1 (* z (* (sqrt -1) (sqrt -1/3))))
(* -1 (* z (* (sqrt -1) (sqrt -1/3))))
(* -1 (* z (* (sqrt -1) (sqrt -1/3))))
(* 1/2 (+ (log 1/3) (log z)))
(* 1/2 (+ (log 1/3) (log z)))
(* 1/2 (+ (log 1/3) (log z)))
(* 1/2 (+ (log 1/3) (log z)))
(* 1/2 (+ (log 1/3) (* -1 (log (/ 1 z)))))
(* 1/2 (+ (log 1/3) (* -1 (log (/ 1 z)))))
(* 1/2 (+ (log 1/3) (* -1 (log (/ 1 z)))))
(* 1/2 (+ (log 1/3) (* -1 (log (/ 1 z)))))
(* 1/2 (+ (log -1/3) (* -1 (log (/ -1 z)))))
(* 1/2 (+ (log -1/3) (* -1 (log (/ -1 z)))))
(* 1/2 (+ (log -1/3) (* -1 (log (/ -1 z)))))
(* 1/2 (+ (log -1/3) (* -1 (log (/ -1 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)
(* 1/3 z)
(+ (log 1/3) (log z))
(+ (log 1/3) (log z))
(+ (log 1/3) (log z))
(+ (log 1/3) (log z))
(+ (log 1/3) (* -1 (log (/ 1 z))))
(+ (log 1/3) (* -1 (log (/ 1 z))))
(+ (log 1/3) (* -1 (log (/ 1 z))))
(+ (log 1/3) (* -1 (log (/ 1 z))))
(+ (log -1/3) (* -1 (log (/ -1 z))))
(+ (log -1/3) (* -1 (log (/ -1 z))))
(+ (log -1/3) (* -1 (log (/ -1 z))))
(+ (log -1/3) (* -1 (log (/ -1 z))))

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

eval409.0ms (4.2%)

Memory: 52.7MiB live, 851.3MiB allocated
Compiler: Compiled 60 625 to 4 885 computations (91.9% saved)

prune423.0ms (4.3%)

Memory

0.9MiB live, 644.0MiB allocated

Pruning

39 alts after pruning (28 fresh and 11 done)

	Pruned	Kept	Total
New	3 376	27	3 403
Fresh	1	1	2
Picked	1	4	5
Done	0	7	7
Total	3 378	39	3 417

Accuracy

98.5%

Counts

3 417 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.5%	(/.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
✓	97.7%	(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
	88.0%	(.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 z))) (.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
	88.0%	(.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 2 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)))))
	88.4%	(.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 z))) (exp.f64 (.f64 (log.f64 (.f64 z #s(literal 1/3 binary64))) #s(literal 1/2 binary64))))
	95.9%	(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 z)))) #s(literal 8 binary64)) (.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
	96.3%	(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 4 binary64)) (.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
	89.7%	(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 z)) (.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
	89.2%	(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 z)) (exp.f64 (.f64 (log.f64 (*.f64 z #s(literal 1/3 binary64))) #s(literal 1/2 binary64))))
	96.7%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
	90.8%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (exp.f64 (.f64 (log.f64 (*.f64 z #s(literal 1/3 binary64))) #s(literal 1/2 binary64))))
✓	96.9%	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) z)
	89.1%	(.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 3/4 binary64) (log.f64 z))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (log.f64 z)))) (exp.f64 (.f64 (log.f64 (.f64 z #s(literal 1/3 binary64))) #s(literal 1/2 binary64))))
	96.5%	(.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (pow.f64 (/.f64 (sqrt.f64 (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (sqrt.f64 z))) #s(literal -2 binary64)))
	88.7%	(.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (log.f64 (/.f64 z #s(literal 1/3 binary64))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 z #s(literal 1/3 binary64)))))))
	97.0%	(.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
	89.7%	(.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
	96.4%	(.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
✓	96.7%	(.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
	90.5%	(.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
	90.8%	(.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (exp.f64 (.f64 (log.f64 (.f64 z #s(literal 1/3 binary64))) #s(literal 1/2 binary64))))
	88.2%	(.f64 (sqrt.f64 z) (pow.f64 (.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) (/.f64 (log.f64 (*.f64 z #s(literal 1/3 binary64))) #s(literal 2 binary64))))
	89.9%	(.f64 (sqrt.f64 z) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 z #s(literal 1/3 binary64)))))
	88.7%	(*.f64 (sqrt.f64 z) (/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (log.f64 (/.f64 z #s(literal 1/3 binary64))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 z #s(literal 1/3 binary64)))))))
	96.5%	(.f64 (sqrt.f64 z) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
	97.0%	(.f64 (sqrt.f64 z) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
✓	96.7%	(.f64 (sqrt.f64 z) (.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
	91.8%	(.f64 (sqrt.f64 z) (.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (exp.f64 (.f64 #s(literal 1/4 binary64) (log.f64 z)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
✓	97.0%	(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
	90.5%	(.f64 (sqrt.f64 z) (.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
	90.4%	(.f64 (sqrt.f64 z) (exp.f64 (.f64 (fma.f64 (log.f64 z) #s(literal 1/2 binary64) (log.f64 (*.f64 (sqrt.f64 z) #s(literal 1/3 binary64)))) #s(literal 1/2 binary64))))
	88.8%	(.f64 (sqrt.f64 z) (exp.f64 (.f64 (*.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 #s(literal 1/3 binary64)) (log.f64 (/.f64 #s(literal 1/3 binary64) z)) (pow.f64 (log.f64 z) #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
✓	90.8%	(.f64 (sqrt.f64 z) (exp.f64 (.f64 (log.f64 (*.f64 z #s(literal 1/3 binary64))) #s(literal 1/2 binary64))))
✓	97.7%	(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
✓	37.8%	(sqrt.f64 (.f64 (fma.f64 y y (.f64 z z)) #s(literal 1/3 binary64)))
✓	37.5%	(sqrt.f64 (.f64 (.f64 z z) #s(literal 1/3 binary64)))
✓	37.5%	(sqrt.f64 (.f64 z (.f64 z #s(literal 1/3 binary64))))
	88.8%	(exp.f64 (fma.f64 (log.f64 (.f64 z #s(literal 1/3 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 z))))
	89.5%	(exp.f64 (.f64 (log.f64 (.f64 z (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 1 binary64)))

Compiler

Compiled 1 334 to 666 computations (50.1% saved)

regimes291.0ms (3%)

Memory

-12.8MiB live, 194.7MiB allocated

Accuracy

Total -40.6b remaining (-2760.6%)

Threshold costs -40.6b (-2760.6%)

Counts

45 → 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)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) z)
(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(/.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z)))) (sqrt.f64 #s(literal 3 binary64)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(.f64 (sqrt.f64 z) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(.f64 (sqrt.f64 z) (.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(.f64 (sqrt.f64 z) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 z)))) #s(literal 8 binary64)) (.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (pow.f64 (/.f64 (sqrt.f64 (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (sqrt.f64 z))) #s(literal -2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 4 binary64)) (.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 z (sqrt.f64 #s(literal 1/3 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 (sqrt.f64 z) (exp.f64 (.f64 (log.f64 (*.f64 z #s(literal 1/3 binary64))) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal -1 binary64)))
(.f64 (sqrt.f64 z) (.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (exp.f64 (.f64 (log.f64 (*.f64 z #s(literal 1/3 binary64))) #s(literal 1/2 binary64))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (exp.f64 (.f64 (log.f64 (.f64 z #s(literal 1/3 binary64))) #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 z) (.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (exp.f64 (.f64 #s(literal 1/4 binary64) (log.f64 z)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(exp.f64 (fma.f64 (log.f64 (.f64 z #s(literal 1/3 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 z))))
(.f64 (sqrt.f64 z) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 z #s(literal 1/3 binary64)))))
(.f64 (sqrt.f64 z) (exp.f64 (.f64 (fma.f64 (log.f64 z) #s(literal 1/2 binary64) (log.f64 (*.f64 (sqrt.f64 z) #s(literal 1/3 binary64)))) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (exp.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 (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(.f64 (sqrt.f64 z) (pow.f64 (.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) (/.f64 (log.f64 (*.f64 z #s(literal 1/3 binary64))) #s(literal 2 binary64))))
(.f64 (sqrt.f64 z) (.f64 (/.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (/.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))))
(.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 2 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 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 z))) (.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 z)) (exp.f64 (.f64 (log.f64 (*.f64 z #s(literal 1/3 binary64))) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 z))) (exp.f64 (.f64 (log.f64 (.f64 z #s(literal 1/3 binary64))) #s(literal 1/2 binary64))))
(.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 3/4 binary64) (log.f64 z))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (log.f64 z)))) (exp.f64 (.f64 (log.f64 (.f64 z #s(literal 1/3 binary64))) #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 z) (exp.f64 (.f64 (*.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 #s(literal 1/3 binary64)) (log.f64 (/.f64 #s(literal 1/3 binary64) z)) (pow.f64 (log.f64 z) #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 z) (/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (log.f64 (/.f64 z #s(literal 1/3 binary64))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 z #s(literal 1/3 binary64)))))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (log.f64 (/.f64 z #s(literal 1/3 binary64))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 z #s(literal 1/3 binary64)))))))

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

Calls

10 calls:

144.0ms	x
44.0ms	z
17.0ms	(+.f64 (.f64 x x) (.f64 y y))
16.0ms	(*.f64 z z)
15.0ms	(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
97.7%	1	`x`
97.7%	1	`y`
97.7%	1	`z`
97.7%	1	`(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))`
97.7%	1	`(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))`
97.7%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
97.7%	1	`(+.f64 (.f64 x x) (.f64 y y))`
97.7%	1	`(*.f64 x x)`
97.7%	1	`(*.f64 y y)`
97.7%	1	`(*.f64 z z)`

Compiler

Compiled 87 to 56 computations (35.6% saved)

simplify8.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB 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)))

soundness139.0ms (1.4%)

Memory

-21.8MiB live, 91.8MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	230	2514
1	673	2514
2	2272	2478
3	5706	2361
0	8198	2064

Stop Event

1×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 14 to 12 computations (14.3% saved)

preprocess126.0ms (1.3%)

Memory: 14.7MiB live, 136.6MiB allocated
Compiler: Compiled 174 to 128 computations (26.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	27	209
1	61	207
2	133	179
3	300	128
4	477	121
5	680	121
6	818	121
7	861	121
8	904	121
9	904	121
10	936	121
0	936	121

Iter	Nodes	Cost
0	27	209
1	61	207
2	133	179
3	300	128
4	477	121
5	680	121
6	818	121
7	861	121
8	904	121
9	904	121
10	936	121
0	936	121

analyze2.0ms (0%)

sample1.7s (16.9%)

preprocess56.0ms (0.6%)

explain244.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize49.0ms (0.5%)

series17.0ms (0.2%)

rewrite844.0ms (8.6%)

simplify1.5s (15.5%)

eval90.0ms (0.9%)

prune82.0ms (0.8%)

simplify7.0ms (0.1%)

localize87.0ms (0.9%)

series23.0ms (0.2%)

rewrite346.0ms (3.5%)

simplify473.0ms (4.8%)

eval135.0ms (1.4%)

prune100.0ms (1%)

simplify10.0ms (0.1%)

localize80.0ms (0.8%)

series491.0ms (5%)

rewrite697.0ms (7.1%)

simplify293.0ms (3%)

eval111.0ms (1.1%)

prune69.0ms (0.7%)

simplify29.0ms (0.3%)

localize157.0ms (1.6%)

series98.0ms (1%)

rewrite316.0ms (3.2%)

simplify315.0ms (3.2%)

eval409.0ms (4.2%)

prune423.0ms (4.3%)

regimes291.0ms (3%)

simplify8.0ms (0.1%)

soundness139.0ms (1.4%)

preprocess126.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	27	209
1	61	207
2	133	179
3	300	128
4	477	121
5	680	121
6	818	121
7	861	121
8	904	121
9	904	121
10	936	121
0	936	121