Metrics for Graphics.Rasterific.Svg.PathConverter:arcToSegments from rasterific-svg-0.2.3.1

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze142.0ms (1.3%)

Memory

0.2MiB live, 273.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
25%	25%	74.9%	0.2%	0%	0%	0%	5
25%	25%	74.9%	0.2%	0%	0%	0%	6
37.5%	37.4%	62.4%	0.2%	0%	0%	0%	7
37.5%	37.4%	62.4%	0.2%	0%	0%	0%	8
56.3%	56.1%	43.7%	0.2%	0%	0%	0%	9
56.3%	56.1%	43.7%	0.2%	0%	0%	0%	10
65.6%	65.5%	34.3%	0.2%	0%	0%	0%	11
65.6%	65.5%	34.3%	0.2%	0%	0%	0%	12

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.2s (10.7%)

Memory

12.2MiB live, 1 123.9MiB allocated

Samples

650.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 412.0ms

ival-mult: 232.0ms (56.4% of total)

ival-div: 118.0ms (28.7% of total)

ival-add: 53.0ms (12.9% of total)

ival-true: 6.0ms (1.5% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain369.0ms (3.4%)

Memory

-5.5MiB live, 158.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
71	-	3	(-6.176708034282272e-96 2.208451625669744e-185 8.837213890150693e-160 4.879178627775303e-25)	`(/.f64 (.f64 z z) (.f64 t t))`
65	-	5	(4.1305813173328677e-162 7.200243367269418e-129 5.918714499694367e-121 -4.7399802185193837e+229)	`(/.f64 (.f64 x x) (.f64 y y))`
0	-	0	-	`t`
0	-	0	-	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`(*.f64 t t)`
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
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	n/u	13	0
↳	`(*.f64 t t)`	underflow	55
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	o/o	13	0
↳	`(*.f64 z z)`	overflow	59
↳	`(*.f64 t t)`	overflow	74
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	u/u	11	0
↳	`(*.f64 z z)`	underflow	56
↳	`(*.f64 t t)`	underflow	55
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	u/u	10	0
↳	`(*.f64 x x)`	underflow	51
↳	`(*.f64 y y)`	underflow	66
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	o/n	10	0
↳	`(*.f64 x x)`	overflow	72
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	n/u	9	0
↳	`(*.f64 y y)`	underflow	66
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	o/o	9	0
↳	`(*.f64 x x)`	overflow	72
↳	`(*.f64 y y)`	overflow	51
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	o/n	9	0
↳	`(*.f64 z z)`	overflow	59
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	u/n	6	0
↳	`(*.f64 z z)`	underflow	56
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	n/o	5	0
↳	`(*.f64 t t)`	overflow	74
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	n/o	5	0
↳	`(*.f64 y y)`	overflow	51
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	u/n	4	0
↳	`(*.f64 x x)`	underflow	51

Confusion

	Predicted +	Predicted -
+	78	12
-	21	145

Precision

0.7878787878787878

Recall

0.8666666666666667

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	78	0	12
-	21	0	145

Precision?

0.7878787878787878

Recall?

0.8666666666666667

Freqs

test

number	freq
0	157
1	94
2	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

125.0ms

512×

valid

Compiler

Compiled 109 to 37 computations (66.1% saved)

Precisions

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

ival-mult: 13.0ms (60.2% of total)

ival-div: 6.0ms (27.8% of total)

ival-add: 2.0ms (9.3% of total)

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

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

preprocess270.0ms (2.5%)

Memory

-9.4MiB live, 31.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	214
1	175	214
2	626	214
3	2107	214
4	3907	214
5	4792	214
6	4924	214
7	4984	214
8	5060	214
9	5119	214
10	5791	214
11	6095	214
12	6095	214
13	6095	214
14	6463	214
15	6639	214
16	6799	214
17	6863	214
18	6863	214
0	11	15
0	18	15
1	31	15
2	43	15
3	43	15
0	43	14

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))

Outputs
(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))

Symmetry

(abs t)

(abs z)

(abs y)

(abs x)

Compiler

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.9%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify4.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z z)
cost-diff	0	(*.f64 y y)
cost-diff	0	(*.f64 x x)
cost-diff	128	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	45
0	18	45
1	31	45
2	43	45
3	43	45
0	43	44

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
(/.f64 (.f64 z z) (.f64 t t))
(*.f64 z z)
z
(*.f64 t t)
t

Outputs
(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 (/.f64 (/.f64 x y) y) x)
(*.f64 x x)
x
(*.f64 y y)
y
(/.f64 (.f64 z z) (.f64 t t))
(*.f64 (/.f64 (/.f64 z t) t) z)
(*.f64 z z)
z
(*.f64 t t)
t

localize26.0ms (0.2%)

Memory

27.5MiB live, 27.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 t t)
accuracy	0.00390625	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
accuracy	14.838716818704427	(/.f64 (.f64 x x) (.f64 y y))
accuracy	16.169598429211497	(/.f64 (.f64 z z) (.f64 t t))

Samples

19.0ms

256×

valid

Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions

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

ival-mult: 6.0ms (59.5% of total)

ival-div: 3.0ms (29.7% of total)

ival-add: 1.0ms (9.9% of total)

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

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

series29.0ms (0.3%)

Memory

-18.2MiB live, 20.3MiB allocated

Counts

7 → 144

Calls

Call 1

Inputs
#s(alt (+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t))) (patch (+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t))) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())
#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 z z) (.f64 t t)) (patch (/.f64 (.f64 z z) (.f64 t t)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 x x) (.f64 y y)) (patch (/.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())
#s(alt (.f64 t t) (patch (.f64 t t) #<representation binary64>) () ())

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

Calls

12 calls:

Time	Variable		Point	Expression
13.0ms	t	@	inf	((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* z z) (* t t)) (/ (* x x) (* y y)) (* t t))
2.0ms	y	@	0	((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* z z) (* t t)) (/ (* x x) (* y y)) (* t t))
1.0ms	t	@	0	((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* z z) (* t t)) (/ (* x x) (* y y)) (* t t))
1.0ms	x	@	inf	((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* z z) (* t t)) (/ (* x x) (* y y)) (* t t))
1.0ms	z	@	inf	((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* z z) (* t t)) (/ (* x x) (* y y)) (* t t))

simplify203.0ms (1.9%)

Memory

24.0MiB live, 139.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	1128
1	60	1128
2	192	1128
3	823	1128
4	2853	1128
5	3973	1128
6	6262	1128
7	7756	1128
0	8060	1092

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
(/ (pow z 2) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow x 2) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(pow x 2)
(pow x 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 x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(pow x 2)
(pow x 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 x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(pow x 2)
(pow x 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 x 2) (pow y 2))

Outputs
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (fma.f64 (.f64 (/.f64 t y) x) (.f64 (/.f64 t y) x) (.f64 z z)) (.f64 t t))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (fma.f64 (.f64 (/.f64 t y) x) (.f64 (/.f64 t y) x) (.f64 z z)) (.f64 t t))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (fma.f64 (.f64 (/.f64 t y) x) (.f64 (/.f64 t y) x) (.f64 z z)) (.f64 t t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(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) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(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) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(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) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/.f64 (fma.f64 (.f64 (/.f64 (.f64 y y) t) z) (/.f64 z t) (.f64 x x)) (.f64 y y))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/.f64 (fma.f64 (.f64 (/.f64 (.f64 y y) t) z) (/.f64 z t) (.f64 x x)) (.f64 y y))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/.f64 (fma.f64 (.f64 (/.f64 (.f64 y y) t) z) (/.f64 z t) (.f64 x x)) (.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 x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(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 x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(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 x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(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) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(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) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(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) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)

rewrite366.0ms (3.4%)

Memory

-13.9MiB live, 188.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	41
0	18	41
1	69	33
2	813	33
0	8377	33

Stop Event

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

Counts

7 → 418

Calls

Call 1

Inputs
(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
(*.f64 x x)
(*.f64 y y)
(*.f64 z z)
(/.f64 (.f64 z z) (.f64 t t))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 t t)

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval114.0ms (1.1%)

Memory: -2.1MiB live, 114.5MiB allocated
Compiler: Compiled 10 577 to 1 105 computations (89.6% saved)

prune34.0ms (0.3%)

Memory

18.2MiB live, 94.1MiB allocated

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	534	28	562
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	534	29	563

Accuracy

100.0%

Counts

563 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	80.9%	(fma.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 x x) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))
	39.8%	(fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 (/.f64 x y) (/.f64 z t))) (/.f64 (/.f64 x y) (-.f64 (/.f64 x y) (/.f64 z t))) (neg.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))))
▶	99.6%	(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
	88.7%	(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 z) (*.f64 t t)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
▶	96.2%	(fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
	68.6%	(/.f64 (fma.f64 (.f64 (.f64 z (/.f64 z t)) y) (neg.f64 y) (.f64 (.f64 t (neg.f64 x)) x)) (.f64 (.f64 t (neg.f64 y)) y))
	66.8%	(/.f64 (fma.f64 (.f64 (.f64 x (/.f64 x y)) t) t (.f64 (.f64 y z) z)) (.f64 (.f64 y t) t))
	80.2%	(/.f64 (fma.f64 (.f64 z (/.f64 z t)) y (.f64 t (.f64 x (/.f64 x y)))) (.f64 t y))
	53.0%	(/.f64 (fma.f64 (.f64 x (/.f64 x y)) (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y) (.f64 y (pow.f64 (/.f64 z t) #s(literal -2 binary64))))
	21.9%	(/.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
	64.2%	(/.f64 (neg.f64 (fma.f64 (.f64 x x) t (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) t))) (.f64 (neg.f64 y) (.f64 y t)))
	81.1%	(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (.f64 z z) (.f64 t t)))
	78.3%	(+.f64 (/.f64 (.f64 (/.f64 x y) x) y) (/.f64 (.f64 z z) (*.f64 t t)))
	81.5%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z)))
	79.1%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
✓	66.9%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
	72.9%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z)))
▶	72.9%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 z) (.f64 t t))))
	79.1%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (.f64 (/.f64 #s(literal -1 binary64) t) (.f64 (neg.f64 z) (/.f64 z t))))
	73.3%	(+.f64 (/.f64 x (/.f64 (.f64 y y) x)) (/.f64 (.f64 z z) (*.f64 t t)))
	73.3%	(+.f64 (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (.f64 y y))) (/.f64 (.f64 z z) (.f64 t t)))
	78.2%	(+.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (.f64 z z) (.f64 t t)))
	78.9%	(+.f64 (.f64 x (.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y))) (/.f64 (.f64 z z) (.f64 t t)))
	66.8%	(.f64 (fma.f64 (.f64 (.f64 x (/.f64 x y)) t) t (.f64 (.f64 y z) z)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 y t) t)))
	21.5%	(*.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
	52.7%	(.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal -2 binary64))) (pow.f64 (.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))
▶	96.8%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t))))
	61.2%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x))
▶	52.2%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))

Compiler

Compiled 1 013 to 721 computations (28.8% saved)

simplify73.0ms (0.7%)

Memory

-2.5MiB live, 36.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 (neg.f64 z) (/.f64 z t))
cost-diff	0	(/.f64 #s(literal -1 binary64) t)
cost-diff	448	(fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	128	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 z) (.f64 t t))))
cost-diff	256	(.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 z) (.f64 t t)))
cost-diff	576	(/.f64 z #s(literal -1 binary64))
cost-diff	0	(*.f64 (/.f64 z t) (/.f64 z t))
cost-diff	0	(/.f64 x y)
cost-diff	0	(/.f64 (/.f64 x y) y)
cost-diff	0	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t))))
cost-diff	0	(/.f64 z t)
cost-diff	0	(*.f64 (/.f64 z t) (/.f64 z t))
cost-diff	0	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
cost-diff	0	(/.f64 x y)
cost-diff	0	(pow.f64 (/.f64 x y) #s(literal 2 binary64))
cost-diff	0	(/.f64 z t)
cost-diff	0	(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	232
0	54	210
1	96	210
2	185	210
3	424	210
4	898	207
5	1612	207
6	1772	207
7	1878	207
8	2046	207
9	2517	207
10	2636	207
11	2726	207
12	2749	207
13	2752	207
0	2752	207

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize148.0ms (1.4%)

Memory

-8.2MiB live, 191.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 z)
accuracy	0.140625	(*.f64 (neg.f64 z) (/.f64 z t))
accuracy	0.26171875	(pow.f64 (/.f64 x y) #s(literal 2 binary64))
accuracy	2.316767408678724	(fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
accuracy	0.00390625	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 z) (.f64 t t))))
accuracy	3.9970832067790685	(.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 z) (.f64 t t)))
accuracy	8.032908781862723	(/.f64 (neg.f64 z) (*.f64 t t))
accuracy	14.838716818704427	(/.f64 (.f64 x x) (.f64 y y))
accuracy	0	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t))))
accuracy	0.12890625	(/.f64 (/.f64 x y) y)
accuracy	0.20216752930532605	(*.f64 (/.f64 z t) (/.f64 z t))
accuracy	1.935129804962014	(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
accuracy	0	(/.f64 z t)
accuracy	0.20216752930532605	(*.f64 (/.f64 z t) (/.f64 z t))
accuracy	30.488564337955953	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
accuracy	0	(/.f64 z t)
accuracy	0	(/.f64 x y)
accuracy	0.10613251953688405	(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
accuracy	0.26171875	(pow.f64 (/.f64 x y) #s(literal 2 binary64))

Samples

112.0ms

256×

valid

Compiler

Compiled 214 to 32 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-neg: 37.0ms (40.3% of total)

ival-div: 32.0ms (34.9% of total)

ival-mult: 14.0ms (15.2% of total)

ival-add: 5.0ms (5.4% of total)

ival-pow2: 3.0ms (3.3% of total)

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

exact: 0.0ms (0% of total)

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

series98.0ms (0.9%)

Memory

-2.2MiB live, 112.1MiB allocated

Counts

19 → 552

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
36.0ms	x	@	0	((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z t) (/ z t)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (/ x y) y) (/ z -1) (* (/ z -1) (/ (neg z) (* t t))) (+ (/ (* x x) (* y y)) (* (/ z -1) (/ (neg z) (* t t)))) (* x x) (+ (* (/ -1 t) (* (neg z) (/ z t))) (pow (/ x y) 2)) (/ -1 t) (* (neg z) (/ z t)) (neg z) (+ (* (/ (/ x y) y) x) (* (/ z t) (/ z t))) (/ (* x x) (* y y)) (/ (neg z) (* t t)))
5.0ms	t	@	-inf	((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z t) (/ z t)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (/ x y) y) (/ z -1) (* (/ z -1) (/ (neg z) (* t t))) (+ (/ (* x x) (* y y)) (* (/ z -1) (/ (neg z) (* t t)))) (* x x) (+ (* (/ -1 t) (* (neg z) (/ z t))) (pow (/ x y) 2)) (/ -1 t) (* (neg z) (/ z t)) (neg z) (+ (* (/ (/ x y) y) x) (* (/ z t) (/ z t))) (/ (* x x) (* y y)) (/ (neg z) (* t t)))
3.0ms	z	@	inf	((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z t) (/ z t)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (/ x y) y) (/ z -1) (* (/ z -1) (/ (neg z) (* t t))) (+ (/ (* x x) (* y y)) (* (/ z -1) (/ (neg z) (* t t)))) (* x x) (+ (* (/ -1 t) (* (neg z) (/ z t))) (pow (/ x y) 2)) (/ -1 t) (* (neg z) (/ z t)) (neg z) (+ (* (/ (/ x y) y) x) (* (/ z t) (/ z t))) (/ (* x x) (* y y)) (/ (neg z) (* t t)))
2.0ms	t	@	0	((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z t) (/ z t)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (/ x y) y) (/ z -1) (* (/ z -1) (/ (neg z) (* t t))) (+ (/ (* x x) (* y y)) (* (/ z -1) (/ (neg z) (* t t)))) (* x x) (+ (* (/ -1 t) (* (neg z) (/ z t))) (pow (/ x y) 2)) (/ -1 t) (* (neg z) (/ z t)) (neg z) (+ (* (/ (/ x y) y) x) (* (/ z t) (/ z t))) (/ (* x x) (* y y)) (/ (neg z) (* t t)))
2.0ms	x	@	-inf	((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z t) (/ z t)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (/ x y) y) (/ z -1) (* (/ z -1) (/ (neg z) (* t t))) (+ (/ (* x x) (* y y)) (* (/ z -1) (/ (neg z) (* t t)))) (* x x) (+ (* (/ -1 t) (* (neg z) (/ z t))) (pow (/ x y) 2)) (/ -1 t) (* (neg z) (/ z t)) (neg z) (+ (* (/ (/ x y) y) x) (* (/ z t) (/ z t))) (/ (* x x) (* y y)) (/ (neg z) (* t t)))

simplify164.0ms (1.5%)

Memory

-16.9MiB live, 272.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	5232
1	79	5232
2	226	5232
3	901	5232
4	3003	5232
5	4285	5232
6	7526	5232
0	8016	5016

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 552

Calls

Call 1

Inputs
(/ (pow z 2) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ (pow z 2) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ -1 t)
(/ -1 t)
(/ -1 t)
(/ -1 t)
(* -1 (/ (pow z 2) t))
(* -1 (/ (pow z 2) t))
(* -1 (/ (pow z 2) t))
(* -1 (/ (pow z 2) t))
(/ (pow z 2) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(* -1 (/ z (pow t 2)))
(* -1 (/ z (pow t 2)))
(* -1 (/ z (pow t 2)))
(* -1 (/ z (pow t 2)))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ -1 t)
(/ -1 t)
(/ -1 t)
(/ -1 t)
(* -1 (/ (pow z 2) t))
(* -1 (/ (pow z 2) t))
(* -1 (/ (pow z 2) t))
(* -1 (/ (pow z 2) t))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(* -1 (/ z (pow t 2)))
(* -1 (/ z (pow t 2)))
(* -1 (/ z (pow t 2)))
(* -1 (/ z (pow t 2)))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ -1 t)
(/ -1 t)
(/ -1 t)
(/ -1 t)
(* -1 (/ (pow z 2) t))
(* -1 (/ (pow z 2) t))
(* -1 (/ (pow z 2) t))
(* -1 (/ (pow z 2) t))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(* -1 (/ z (pow t 2)))
(* -1 (/ z (pow t 2)))
(* -1 (/ z (pow t 2)))
(* -1 (/ z (pow t 2)))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(* -1 (/ (pow z 2) t))
(* -1 (/ (pow z 2) t))
(* -1 (/ (pow z 2) t))
(* -1 (/ (pow z 2) t))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(* -1 (/ z (pow t 2)))
(* -1 (/ z (pow t 2)))
(* -1 (/ z (pow t 2)))
(* -1 (/ z (pow t 2)))
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* -1 (/ (pow z 2) t))
(* -1 (/ (pow z 2) t))
(* -1 (/ (pow z 2) t))
(* -1 (/ (pow z 2) t))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* -1 (/ z (pow t 2)))
(* -1 (/ z (pow t 2)))
(* -1 (/ z (pow t 2)))
(* -1 (/ z (pow t 2)))
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* -1 (/ (pow z 2) t))
(* -1 (/ (pow z 2) t))
(* -1 (/ (pow z 2) t))
(* -1 (/ (pow z 2) t))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* -1 (/ z (pow t 2)))
(* -1 (/ z (pow t 2)))
(* -1 (/ z (pow t 2)))
(* -1 (/ z (pow t 2)))
(/ (pow x 2) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 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 y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (pow x 2) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
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(/ x (pow y 2))
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(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
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(/ (pow x 2) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 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 y 2))
(/ (pow z 2) (pow t 2))
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(/ x y)
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(/ (pow z 2) (pow t 2))
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(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
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(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
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(/ (pow z 2) (pow t 2))
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(/ (pow x 2) (pow y 2))
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(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ x y)
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(/ x y)
(/ x y)
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 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 y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (pow x 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 y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))

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

rewrite363.0ms (3.4%)

Memory

21.1MiB live, 337.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	175
0	54	139
1	217	137
2	2554	137
0	8627	137

Stop Event

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

Counts

19 → 1 896

Calls

Call 1

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

Outputs
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eval615.0ms (5.7%)

Memory: 16.0MiB live, 872.7MiB allocated
Compiler: Compiled 61 180 to 4 085 computations (93.3% saved)

prune122.0ms (1.1%)

Memory

9.0MiB live, 355.6MiB allocated

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	3 341	13	3 354
Fresh	15	8	23
Picked	4	1	5
Done	0	1	1
Total	3 360	23	3 383

Accuracy

100.0%

Counts

3 383 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.5%	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y))
▶	97.1%	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y)))
	53.0%	(/.f64 (fma.f64 (.f64 x (/.f64 x y)) (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y) (.f64 y (pow.f64 (/.f64 z t) #s(literal -2 binary64))))
	21.9%	(/.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
	78.3%	(+.f64 (/.f64 (.f64 (/.f64 x y) x) y) (/.f64 (.f64 z z) (*.f64 t t)))
✓	66.9%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
	73.3%	(+.f64 (/.f64 x (/.f64 (.f64 y y) x)) (/.f64 (.f64 z z) (*.f64 t t)))
	78.2%	(+.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (.f64 z z) (.f64 t t)))
	21.5%	(*.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
	52.7%	(.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal -2 binary64))) (pow.f64 (.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))
▶	96.8%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) y) x (*.f64 (/.f64 z t) (/.f64 z t))))
▶	90.1%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 x (.f64 y y)) x (.f64 (/.f64 z t) (/.f64 z t))))
	52.3%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (neg.f64 z) t) (*.f64 (/.f64 #s(literal -1 binary64) z) t)))
	52.3%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
	50.5%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
▶	42.1%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z z) (.f64 t t)))
	49.0%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
	49.0%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
	61.2%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x))
▶	45.9%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 (.f64 (neg.f64 z) #s(literal -1 binary64)) (*.f64 t t)) z))
✓	52.2%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
	52.3%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z t) (.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z))))
	41.9%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 t t)) (/.f64 (*.f64 z z) #s(literal -1 binary64))))

Compiler

Compiled 603 to 470 computations (22.1% saved)

simplify351.0ms (3.3%)

Memory

5.9MiB live, 79.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y x)
cost-diff	0	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) y) x (*.f64 (/.f64 z t) (/.f64 z t))))
cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) y)
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 y x))
cost-diff	0	(*.f64 (/.f64 z t) (/.f64 z t))
cost-diff	0	(*.f64 y y)
cost-diff	0	(/.f64 x (*.f64 y y))
cost-diff	0	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 x (.f64 y y)) x (.f64 (/.f64 z t) (/.f64 z t))))
cost-diff	0	(neg.f64 z)
cost-diff	0	(.f64 (/.f64 (.f64 (neg.f64 z) #s(literal -1 binary64)) (*.f64 t t)) z)
cost-diff	0	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 (.f64 (neg.f64 z) #s(literal -1 binary64)) (*.f64 t t)) z))
cost-diff	448	(*.f64 (neg.f64 z) #s(literal -1 binary64))
cost-diff	-384	(/.f64 (.f64 z z) (.f64 t t))
cost-diff	0	(*.f64 t t)
cost-diff	0	(*.f64 z z)
cost-diff	0	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z z) (.f64 t t)))
cost-diff	0	(*.f64 (/.f64 y x) y)
cost-diff	0	(/.f64 x (*.f64 (/.f64 y x) y))
cost-diff	0	(/.f64 z t)
cost-diff	0	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	274
0	56	255
1	103	254
2	181	250
3	340	250
4	722	250
5	1028	250
6	1799	250
7	2096	250
8	2275	250
9	2586	250
10	3302	250
11	3720	250
12	3849	250
13	3941	250
14	3973	250
15	3973	250
16	3973	250
17	3973	250
18	3973	250
19	3973	250
0	3973	250

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y)))
(/.f64 z t)
z
t
(/.f64 x (*.f64 (/.f64 y x) y))
x
(*.f64 (/.f64 y x) y)
(/.f64 y x)
y
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z z) (.f64 t t)))
(/.f64 (.f64 z z) (.f64 t t))
(*.f64 z z)
z
(*.f64 t t)
t
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 (.f64 (neg.f64 z) #s(literal -1 binary64)) (*.f64 t t)) z))
(.f64 (/.f64 (.f64 (neg.f64 z) #s(literal -1 binary64)) (*.f64 t t)) z)
(/.f64 (.f64 (neg.f64 z) #s(literal -1 binary64)) (.f64 t t))
(*.f64 (neg.f64 z) #s(literal -1 binary64))
(neg.f64 z)
z
#s(literal -1 binary64)
(*.f64 t t)
t
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 x (.f64 y y)) x (.f64 (/.f64 z t) (/.f64 z t))))
(fma.f64 (/.f64 x (.f64 y y)) x (.f64 (/.f64 z t) (/.f64 z t)))
(/.f64 x (*.f64 y y))
x
(*.f64 y y)
y
(*.f64 (/.f64 z t) (/.f64 z t))
(/.f64 z t)
z
t
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) y) x (*.f64 (/.f64 z t) (/.f64 z t))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) y)
(/.f64 #s(literal 1 binary64) (/.f64 y x))
#s(literal 1 binary64)
(/.f64 y x)
y
x
(*.f64 (/.f64 z t) (/.f64 z t))
(/.f64 z t)
z
t

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

localize99.0ms (0.9%)

Memory

-20.3MiB live, 136.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.12890625	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) y)
accuracy	0.20216752930532605	(*.f64 (/.f64 z t) (/.f64 z t))
accuracy	0.35737502053341824	(/.f64 #s(literal 1 binary64) (/.f64 y x))
accuracy	1.935129804962014	(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
accuracy	0	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 x (.f64 y y)) x (.f64 (/.f64 z t) (/.f64 z t))))
accuracy	0.20216752930532605	(*.f64 (/.f64 z t) (/.f64 z t))
accuracy	1.935129804962014	(fma.f64 (/.f64 x (.f64 y y)) x (.f64 (/.f64 z t) (/.f64 z t)))
accuracy	7.662549984907725	(/.f64 x (*.f64 y y))
accuracy	0	(neg.f64 z)
accuracy	3.9970832067790685	(.f64 (/.f64 (.f64 (neg.f64 z) #s(literal -1 binary64)) (*.f64 t t)) z)
accuracy	8.032908781862723	(/.f64 (.f64 (neg.f64 z) #s(literal -1 binary64)) (.f64 t t))
accuracy	30.488564337955953	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 (.f64 (neg.f64 z) #s(literal -1 binary64)) (*.f64 t t)) z))
accuracy	0	(*.f64 z z)
accuracy	0	(*.f64 t t)
accuracy	16.169598429211497	(/.f64 (.f64 z z) (.f64 t t))
accuracy	30.488564337955953	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z z) (.f64 t t)))
accuracy	0	(/.f64 y x)
accuracy	0.09765625	(*.f64 (/.f64 y x) y)
accuracy	0.10613251953688405	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y)))
accuracy	3.021674025983887	(/.f64 x (*.f64 (/.f64 y x) y))

Samples

76.0ms

256×

valid

Compiler

Compiled 228 to 32 computations (86% saved)

Precisions

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

ival-mult: 30.0ms (57.2% of total)

ival-div: 14.0ms (26.7% of total)

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

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

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

exact: 0.0ms (0% of total)

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

series90.0ms (0.8%)

Memory

-19.3MiB live, 62.1MiB allocated

Counts

23 → 660

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
42.0ms	y	@	0	((+ (* (/ z t) (/ z t)) (/ x (* (/ y x) y))) (/ z t) (/ x (* (/ y x) y)) (* (/ y x) y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (* (neg z) -1) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ (* (neg z) -1) (* t t)) z) (neg z) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ x (* y y)) (* y y) (* (/ z t) (/ z t)) (/ 1 (/ y x)) (/ (/ 1 (/ y x)) y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ y x) (/ (* (neg z) -1) (* t t)) (+ (* (/ x (* y y)) x) (* (/ z t) (/ z t))) (+ (* (/ (/ 1 (/ y x)) y) x) (* (/ z t) (/ z t))))
5.0ms	x	@	-inf	((+ (* (/ z t) (/ z t)) (/ x (* (/ y x) y))) (/ z t) (/ x (* (/ y x) y)) (* (/ y x) y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (* (neg z) -1) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ (* (neg z) -1) (* t t)) z) (neg z) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ x (* y y)) (* y y) (* (/ z t) (/ z t)) (/ 1 (/ y x)) (/ (/ 1 (/ y x)) y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ y x) (/ (* (neg z) -1) (* t t)) (+ (* (/ x (* y y)) x) (* (/ z t) (/ z t))) (+ (* (/ (/ 1 (/ y x)) y) x) (* (/ z t) (/ z t))))
2.0ms	z	@	-inf	((+ (* (/ z t) (/ z t)) (/ x (* (/ y x) y))) (/ z t) (/ x (* (/ y x) y)) (* (/ y x) y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (* (neg z) -1) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ (* (neg z) -1) (* t t)) z) (neg z) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ x (* y y)) (* y y) (* (/ z t) (/ z t)) (/ 1 (/ y x)) (/ (/ 1 (/ y x)) y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ y x) (/ (* (neg z) -1) (* t t)) (+ (* (/ x (* y y)) x) (* (/ z t) (/ z t))) (+ (* (/ (/ 1 (/ y x)) y) x) (* (/ z t) (/ z t))))
2.0ms	z	@	inf	((+ (* (/ z t) (/ z t)) (/ x (* (/ y x) y))) (/ z t) (/ x (* (/ y x) y)) (* (/ y x) y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (* (neg z) -1) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ (* (neg z) -1) (* t t)) z) (neg z) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ x (* y y)) (* y y) (* (/ z t) (/ z t)) (/ 1 (/ y x)) (/ (/ 1 (/ y x)) y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ y x) (/ (* (neg z) -1) (* t t)) (+ (* (/ x (* y y)) x) (* (/ z t) (/ z t))) (+ (* (/ (/ 1 (/ y x)) y) x) (* (/ z t) (/ z t))))
2.0ms	y	@	-inf	((+ (* (/ z t) (/ z t)) (/ x (* (/ y x) y))) (/ z t) (/ x (* (/ y x) y)) (* (/ y x) y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (* (neg z) -1) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ (* (neg z) -1) (* t t)) z) (neg z) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ x (* y y)) (* y y) (* (/ z t) (/ z t)) (/ 1 (/ y x)) (/ (/ 1 (/ y x)) y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ y x) (/ (* (neg z) -1) (* t t)) (+ (* (/ x (* y y)) x) (* (/ z t) (/ z t))) (+ (* (/ (/ 1 (/ y x)) y) x) (* (/ z t) (/ z t))))

simplify214.0ms (2%)

Memory

28.3MiB live, 218.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	6048
1	70	6048
2	202	6048
3	844	6048
4	2904	6048
5	4030	6048
6	6399	6048
0	8130	5796

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 648

Calls

Call 1

Inputs
(/ (pow z 2) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ (pow z 2) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
z
z
z
z
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
z
z
z
z
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
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z
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Outputs
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (/.f64 (/.f64 z t) t) z))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (/.f64 (/.f64 z t) t) z))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 x y) (/.f64 x y))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
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(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (/.f64 (/.f64 z t) t) z))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (/.f64 (/.f64 z t) t) z))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 x y) (/.f64 x y))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
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(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
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(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (/.f64 (/.f64 z t) t) z))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 x y) (/.f64 x y))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 x y) (/.f64 x y))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 x y) (/.f64 x y))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 x y) (/.f64 x y))
(/ (pow y 2) x)
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(/ (pow y 2) x)
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(/ (pow y 2) x)
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(/ (pow x 2) (pow y 2))
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(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
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(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
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(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (/.f64 (/.f64 z t) t) z))
(/ (pow x 2) (pow y 2))
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(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
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(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
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(/ (pow x 2) (pow y 2))
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(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
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(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
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(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
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(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
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(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
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(/ y x)
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(/ y x)
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(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (/.f64 (/.f64 z t) t) z))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
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(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
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(/ (pow x 2) (pow y 2))
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(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (/.f64 (/.f64 z t) t) z))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (/.f64 (/.f64 z t) t) z))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (/.f64 (/.f64 z t) t) z))

rewrite237.0ms (2.2%)

Memory

-4.6MiB live, 220.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	237
0	56	193
1	220	176
2	2327	176
0	8318	176

Stop Event

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

Counts

23 → 1 511

Calls

Call 1

Inputs
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y)))
(/.f64 z t)
(/.f64 x (*.f64 (/.f64 y x) y))
(*.f64 (/.f64 y x) y)
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z z) (.f64 t t)))
(*.f64 z z)
(*.f64 t t)
(/.f64 (.f64 z z) (.f64 t t))
(*.f64 (neg.f64 z) #s(literal -1 binary64))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 (.f64 (neg.f64 z) #s(literal -1 binary64)) (*.f64 t t)) z))
(.f64 (/.f64 (.f64 (neg.f64 z) #s(literal -1 binary64)) (*.f64 t t)) z)
(neg.f64 z)
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 x (.f64 y y)) x (.f64 (/.f64 z t) (/.f64 z t))))
(/.f64 x (*.f64 y y))
(*.f64 y y)
(*.f64 (/.f64 z t) (/.f64 z t))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) y)
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) y) x (*.f64 (/.f64 z t) (/.f64 z t))))
(/.f64 y x)
(/.f64 (.f64 (neg.f64 z) #s(literal -1 binary64)) (.f64 t t))
(fma.f64 (/.f64 x (.f64 y y)) x (.f64 (/.f64 z t) (/.f64 z t)))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) y) x (*.f64 (/.f64 z t) (/.f64 z t)))

Outputs
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eval510.0ms (4.7%)

Memory: 36.5MiB live, 751.4MiB allocated
Compiler: Compiled 47 499 to 3 450 computations (92.7% saved)

prune208.0ms (1.9%)

Memory

-12.2MiB live, 265.0MiB allocated

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	2 624	6	2 630
Fresh	3	13	16
Picked	2	3	5
Done	0	2	2
Total	2 629	24	2 653

Accuracy

100.0%

Counts

2 653 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.5%	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y))
✓	97.1%	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y)))
	90.1%	(fma.f64 (/.f64 z t) (/.f64 z t) (.f64 (/.f64 x (.f64 y y)) x))
	53.0%	(/.f64 (fma.f64 (.f64 x (/.f64 x y)) (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y) (.f64 y (pow.f64 (/.f64 z t) #s(literal -2 binary64))))
	21.8%	(/.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal -2 binary64))))
▶	78.3%	(+.f64 (/.f64 (.f64 (/.f64 x y) x) y) (/.f64 (.f64 z z) (*.f64 t t)))
✓	66.9%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
	73.3%	(+.f64 (/.f64 x (/.f64 (.f64 y y) x)) (/.f64 (.f64 z z) (*.f64 t t)))
	78.2%	(+.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (.f64 z z) (.f64 t t)))
	21.5%	(*.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
	52.7%	(.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal -2 binary64))) (pow.f64 (.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))
✓	96.8%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) y) x (*.f64 (/.f64 z t) (/.f64 z t))))
	73.3%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 x (.f64 y y)) x (/.f64 (.f64 z z) (*.f64 t t))))
▶	52.3%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (neg.f64 z) t) (*.f64 (/.f64 #s(literal -1 binary64) z) t)))
	52.3%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
	50.5%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
✓	42.1%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z z) (.f64 t t)))
▶	49.0%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
	49.0%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
	61.2%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x))
	52.3%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 (neg.f64 z) t) (.f64 (/.f64 #s(literal -1 binary64) t) z)))
▶	45.9%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z (.f64 t t)) z))
✓	52.2%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
	63.2%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y)))

Compiler

Compiled 578 to 451 computations (22% saved)

simplify153.0ms (1.4%)

Memory

11.6MiB live, 49.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 x y)
cost-diff	0	(*.f64 (/.f64 x y) x)
cost-diff	0	(/.f64 (*.f64 (/.f64 x y) x) y)
cost-diff	128	(+.f64 (/.f64 (.f64 (/.f64 x y) x) y) (/.f64 (.f64 z z) (*.f64 t t)))
cost-diff	0	(/.f64 (neg.f64 z) t)
cost-diff	0	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (neg.f64 z) t) (*.f64 (/.f64 #s(literal -1 binary64) z) t)))
cost-diff	192	(*.f64 (/.f64 #s(literal -1 binary64) z) t)
cost-diff	640	(/.f64 (/.f64 (neg.f64 z) t) (*.f64 (/.f64 #s(literal -1 binary64) z) t))
cost-diff	0	(/.f64 t z)
cost-diff	0	(*.f64 (/.f64 t z) t)
cost-diff	0	(/.f64 z (*.f64 (/.f64 t z) t))
cost-diff	0	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
cost-diff	-384	(/.f64 z (*.f64 t t))
cost-diff	0	(*.f64 t t)
cost-diff	0	(.f64 (/.f64 z (.f64 t t)) z)
cost-diff	0	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z (.f64 t t)) z))
cost-diff	0	(*.f64 (/.f64 x y) x)
cost-diff	0	(/.f64 (*.f64 (/.f64 x y) x) y)
cost-diff	0	(/.f64 z t)
cost-diff	0	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	216
0	53	206
1	83	205
2	120	205
3	264	205
4	541	205
5	1624	205
6	2553	205
7	3186	205
8	4125	205
9	4243	205
10	4335	205
11	4551	205
12	4950	205
13	5113	205
14	5221	205
15	5259	205
16	5291	205
17	5291	205
18	5291	205
19	5291	205
0	5291	205

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y))
(/.f64 z t)
z
t
(/.f64 (*.f64 (/.f64 x y) x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x y)
x
y
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z (.f64 t t)) z))
(.f64 (/.f64 z (.f64 t t)) z)
(/.f64 z (*.f64 t t))
z
(*.f64 t t)
t
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
(/.f64 z (*.f64 (/.f64 t z) t))
z
(*.f64 (/.f64 t z) t)
(/.f64 t z)
t
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (neg.f64 z) t) (*.f64 (/.f64 #s(literal -1 binary64) z) t)))
(/.f64 (/.f64 (neg.f64 z) t) (*.f64 (/.f64 #s(literal -1 binary64) z) t))
(/.f64 (neg.f64 z) t)
(neg.f64 z)
z
t
(*.f64 (/.f64 #s(literal -1 binary64) z) t)
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
(+.f64 (/.f64 (.f64 (/.f64 x y) x) y) (/.f64 (.f64 z z) (*.f64 t t)))
(/.f64 (*.f64 (/.f64 x y) x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x y)
x
y
(/.f64 (.f64 z z) (.f64 t t))
(*.f64 z z)
z
(*.f64 t t)
t

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

localize140.0ms (1.3%)

Memory

-22.1MiB live, 137.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 (/.f64 (.f64 (/.f64 x y) x) y) (/.f64 (.f64 z z) (*.f64 t t)))
accuracy	0.125	(*.f64 (/.f64 x y) x)
accuracy	3.5666761569856056	(/.f64 (*.f64 (/.f64 x y) x) y)
accuracy	16.169598429211497	(/.f64 (.f64 z z) (.f64 t t))
accuracy	0	(neg.f64 z)
accuracy	0.12109375	(/.f64 (/.f64 (neg.f64 z) t) (*.f64 (/.f64 #s(literal -1 binary64) z) t))
accuracy	0.23828125	(*.f64 (/.f64 #s(literal -1 binary64) z) t)
accuracy	30.488564337955953	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (neg.f64 z) t) (*.f64 (/.f64 #s(literal -1 binary64) z) t)))
accuracy	0	(/.f64 t z)
accuracy	0.13671875	(*.f64 (/.f64 t z) t)
accuracy	4.224281343551074	(/.f64 z (*.f64 (/.f64 t z) t))
accuracy	30.488564337955953	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
accuracy	0	(*.f64 t t)
accuracy	3.9970832067790685	(.f64 (/.f64 z (.f64 t t)) z)
accuracy	8.032908781862723	(/.f64 z (*.f64 t t))
accuracy	30.488564337955953	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z (.f64 t t)) z))
accuracy	0	(/.f64 x y)
accuracy	0.10613251953688405	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y))
accuracy	0.125	(*.f64 (/.f64 x y) x)
accuracy	3.5666761569856056	(/.f64 (*.f64 (/.f64 x y) x) y)

Samples

88.0ms

256×

valid

Compiler

Compiled 192 to 31 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-div: 36.0ms (64.6% of total)

ival-mult: 13.0ms (23.3% of total)

ival-add: 5.0ms (9% of total)

ival-neg: 1.0ms (1.8% of total)

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

exact: 0.0ms (0% of total)

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

series94.0ms (0.9%)

Memory

32.8MiB live, 67.9MiB allocated

Counts

20 → 576

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
58.0ms	y	@	-inf	((+ (* (/ z t) (/ z t)) (/ (* (/ x y) x) y)) (/ z t) (/ (* (/ x y) x) y) (* (/ x y) x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z (* t t)) z) (* t t) (/ z (* t t)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ z (* (/ t z) t)) (* (/ t z) t) (/ t z) (/ (/ (neg z) t) (* (/ -1 z) t)) (* (/ -1 z) t) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (neg z) t) (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (/ x y) (neg z) (/ (* z z) (* t t)))
2.0ms	z	@	-inf	((+ (* (/ z t) (/ z t)) (/ (* (/ x y) x) y)) (/ z t) (/ (* (/ x y) x) y) (* (/ x y) x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z (* t t)) z) (* t t) (/ z (* t t)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ z (* (/ t z) t)) (* (/ t z) t) (/ t z) (/ (/ (neg z) t) (* (/ -1 z) t)) (* (/ -1 z) t) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (neg z) t) (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (/ x y) (neg z) (/ (* z z) (* t t)))
2.0ms	z	@	0	((+ (* (/ z t) (/ z t)) (/ (* (/ x y) x) y)) (/ z t) (/ (* (/ x y) x) y) (* (/ x y) x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z (* t t)) z) (* t t) (/ z (* t t)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ z (* (/ t z) t)) (* (/ t z) t) (/ t z) (/ (/ (neg z) t) (* (/ -1 z) t)) (* (/ -1 z) t) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (neg z) t) (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (/ x y) (neg z) (/ (* z z) (* t t)))
2.0ms	t	@	0	((+ (* (/ z t) (/ z t)) (/ (* (/ x y) x) y)) (/ z t) (/ (* (/ x y) x) y) (* (/ x y) x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z (* t t)) z) (* t t) (/ z (* t t)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ z (* (/ t z) t)) (* (/ t z) t) (/ t z) (/ (/ (neg z) t) (* (/ -1 z) t)) (* (/ -1 z) t) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (neg z) t) (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (/ x y) (neg z) (/ (* z z) (* t t)))
2.0ms	z	@	inf	((+ (* (/ z t) (/ z t)) (/ (* (/ x y) x) y)) (/ z t) (/ (* (/ x y) x) y) (* (/ x y) x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z (* t t)) z) (* t t) (/ z (* t t)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ z (* (/ t z) t)) (* (/ t z) t) (/ t z) (/ (/ (neg z) t) (* (/ -1 z) t)) (* (/ -1 z) t) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (neg z) t) (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (/ x y) (neg z) (/ (* z z) (* t t)))

simplify226.0ms (2.1%)

Memory

-66.0MiB live, 134.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	4908
1	79	4908
2	220	4908
3	872	4908
4	2942	4908
5	4060	4908
6	6502	4908
0	8122	4728

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 576

Calls

Call 1

Inputs
(/ (pow z 2) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ (pow z 2) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(* -1 (/ t z))
(* -1 (/ t z))
(* -1 (/ t z))
(* -1 (/ t z))
(/ (pow z 2) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(* -1 (/ z t))
(* -1 (/ z t))
(* -1 (/ z t))
(* -1 (/ z t))
(/ (pow z 2) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(* -1 (/ t z))
(* -1 (/ t z))
(* -1 (/ t z))
(* -1 (/ t z))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(* -1 (/ z t))
(* -1 (/ z t))
(* -1 (/ z t))
(* -1 (/ z t))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(* -1 (/ t z))
(* -1 (/ t z))
(* -1 (/ t z))
(* -1 (/ t z))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(* -1 (/ z t))
(* -1 (/ z t))
(* -1 (/ z t))
(* -1 (/ z t))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
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(/ (pow x 2) (pow y 2))
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(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ z (pow t 2))
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(/ z (pow t 2))
(/ z (pow t 2))
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ z (pow t 2))
(/ z (pow t 2))
(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
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(/ (pow x 2) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
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(/ (pow x 2) y)
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(/ (pow x 2) y)
(/ (pow x 2) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
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(/ (pow x 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) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow x 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) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
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(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
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(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
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(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 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) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
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(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
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(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
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(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
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(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
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(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
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(/ (pow x 2) (pow y 2))
(/ (pow x 2) y)
(/ (pow x 2) y)
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(/ (pow x 2) (pow y 2))
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(/ (pow x 2) (pow y 2))
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(/ (pow x 2) (pow y 2))
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(/ x y)
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(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
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(/ (pow x 2) y)
(/ (pow x 2) y)
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(/ (pow x 2) y)
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(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
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(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
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(/ (pow x 2) (pow y 2))
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(/ x y)
(/ x y)
(/ x y)
(/ x y)

Outputs
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
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(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
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(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
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(/ z t)
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(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
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(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
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(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ z (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (fma.f64 (.f64 (/.f64 t y) x) (.f64 (/.f64 t y) x) (.f64 z z)) (.f64 t t))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
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(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow t 2) z)
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(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (fma.f64 (.f64 (/.f64 t y) x) (.f64 (/.f64 t y) x) (.f64 z z)) (.f64 t t))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
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(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
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(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
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(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
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(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(/ x y)
(/.f64 x y)
(/ x y)
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(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
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(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
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(/ (pow x 2) (pow y 2))
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(/ (pow x 2) (pow y 2))
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(/ (pow x 2) y)
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(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(/ x y)
(/.f64 x y)
(/ x y)
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(/ x y)
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(/ x y)
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(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
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(/ (pow x 2) y)
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(/ (pow x 2) y)
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(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
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(/ (pow x 2) (pow y 2))
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(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
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(/ (pow x 2) (pow y 2))
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(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
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(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(/ x y)
(/.f64 x y)
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(/ (pow x 2) (pow y 2))
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(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
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(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
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(/ (pow x 2) (pow y 2))
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(/ (pow x 2) (pow y 2))
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(/ (pow x 2) (pow y 2))
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(/ (pow x 2) (pow y 2))
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(/ (pow x 2) y)
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(/ (pow x 2) y)
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(/ (pow x 2) y)
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(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) (pow y 2))
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(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
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(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)

rewrite344.0ms (3.2%)

Memory

20.5MiB live, 208.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	177
0	53	148
1	195	135
2	2546	135
0	8213	135

Stop Event

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

Counts

20 → 1 213

Calls

Call 1

Inputs
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y))
(/.f64 z t)
(/.f64 (*.f64 (/.f64 x y) x) y)
(*.f64 (/.f64 x y) x)
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z (.f64 t t)) z))
(.f64 (/.f64 z (.f64 t t)) z)
(*.f64 t t)
(/.f64 z (*.f64 t t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
(/.f64 z (*.f64 (/.f64 t z) t))
(*.f64 (/.f64 t z) t)
(/.f64 t z)
(/.f64 (/.f64 (neg.f64 z) t) (*.f64 (/.f64 #s(literal -1 binary64) z) t))
(*.f64 (/.f64 #s(literal -1 binary64) z) t)
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (neg.f64 z) t) (*.f64 (/.f64 #s(literal -1 binary64) z) t)))
(/.f64 (neg.f64 z) t)
(+.f64 (/.f64 (.f64 (/.f64 x y) x) y) (/.f64 (.f64 z z) (*.f64 t t)))
(/.f64 x y)
(neg.f64 z)
(/.f64 (.f64 z z) (.f64 t t))

Outputs
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eval493.0ms (4.6%)

Memory: 11.3MiB live, 448.2MiB allocated
Compiler: Compiled 33 991 to 2 413 computations (92.9% saved)

prune340.0ms (3.1%)

Memory

-21.4MiB live, 142.8MiB allocated

Pruning

24 alts after pruning (15 fresh and 9 done)

	Pruned	Kept	Total
New	2 044	4	2 048
Fresh	3	11	14
Picked	0	5	5
Done	1	4	5
Total	2 048	24	2 072

Accuracy

100.0%

Counts

2 072 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.5%	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (/.f64 x (/.f64 y x)) y))
✓	96.5%	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y))
✓	97.1%	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y)))
	90.1%	(fma.f64 (/.f64 z t) (/.f64 z t) (.f64 (/.f64 x (.f64 y y)) x))
	53.0%	(/.f64 (fma.f64 (.f64 x (/.f64 x y)) (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y) (.f64 y (pow.f64 (/.f64 z t) #s(literal -2 binary64))))
	21.8%	(/.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal -2 binary64))))
	78.2%	(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) x)) y) (/.f64 (.f64 z z) (.f64 t t)))
✓	78.3%	(+.f64 (/.f64 (.f64 (/.f64 x y) x) y) (/.f64 (.f64 z z) (*.f64 t t)))
✓	66.9%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
	73.3%	(+.f64 (/.f64 x (/.f64 (.f64 y y) x)) (/.f64 (.f64 z z) (*.f64 t t)))
	78.2%	(+.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (.f64 z z) (.f64 t t)))
	52.7%	(.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal -2 binary64))) (pow.f64 (.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))
	49.0%	#s(approx (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
	61.2%	#s(approx (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x))
	73.3%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 x (.f64 y y)) x (/.f64 (.f64 z z) (*.f64 t t))))
✓	52.3%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (neg.f64 z) t) (*.f64 (/.f64 #s(literal -1 binary64) z) t)))
	52.3%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
	50.5%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
✓	42.1%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z z) (.f64 t t)))
✓	49.0%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
	52.3%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 (neg.f64 z) t) (.f64 (/.f64 #s(literal -1 binary64) t) z)))
✓	45.9%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z (.f64 t t)) z))
✓	52.2%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
	63.2%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y)))

Compiler

Compiled 1 094 to 430 computations (60.7% saved)

regimes353.0ms (3.3%)

Memory

29.2MiB live, 186.1MiB allocated

Counts

52 → 1

Calls

Call 1

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

Outputs
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))

Calls

11 calls:

146.0ms	(*.f64 z z)
51.0ms	(*.f64 x x)
36.0ms	z
27.0ms	y
15.0ms	x

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`z`
99.6%	1	`t`
99.6%	1	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
99.6%	1	`(/.f64 (.f64 x x) (.f64 y y))`
99.6%	1	`(*.f64 x x)`
99.6%	1	`(*.f64 y y)`
99.6%	1	`(/.f64 (.f64 z z) (.f64 t t))`
99.6%	1	`(*.f64 z z)`
99.6%	1	`(*.f64 t t)`

Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes260.0ms (2.4%)

Memory

-13.7MiB live, 237.7MiB allocated

Counts

40 → 1

Calls

Call 1

Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z (.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z z) (.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
#s(approx (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x))
#s(approx (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 (.f64 (neg.f64 z) #s(literal -1 binary64)) (*.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z t) (.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 (neg.f64 z) t) (.f64 (/.f64 #s(literal -1 binary64) t) z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 t t)) (/.f64 (*.f64 z z) #s(literal -1 binary64))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (neg.f64 z) t) (*.f64 (/.f64 #s(literal -1 binary64) z) t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 x (.f64 y y)) x (/.f64 (.f64 z z) (*.f64 t t))))
(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 x (.f64 y y)) x (.f64 (/.f64 z t) (/.f64 z t))))
(fma.f64 (/.f64 z t) (/.f64 z t) (.f64 (/.f64 x (.f64 y y)) x))
(+.f64 (/.f64 x (/.f64 (.f64 y y) x)) (/.f64 (.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z)))
(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
(+.f64 (/.f64 (.f64 (/.f64 x y) x) y) (/.f64 (.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t))))
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y)))
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y))
(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z)))
(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (.f64 z z) (.f64 t t)))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (.f64 z z) (.f64 t t)))
(+.f64 (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (.f64 y y))) (/.f64 (.f64 z z) (.f64 t t)))
(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (.f64 (/.f64 #s(literal -1 binary64) t) (.f64 (neg.f64 z) (/.f64 z t))))
(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 z) (.f64 t t))))
(/.f64 (fma.f64 (.f64 (.f64 x (/.f64 x y)) t) t (.f64 (.f64 y z) z)) (.f64 (.f64 y t) t))
(/.f64 (fma.f64 (.f64 z (/.f64 z t)) y (.f64 t (.f64 x (/.f64 x y)))) (.f64 t y))
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (/.f64 x (/.f64 y x)) y))
(.f64 (fma.f64 (.f64 (.f64 x (/.f64 x y)) t) t (.f64 (.f64 y z) z)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 y t) t)))
(/.f64 (fma.f64 (.f64 (.f64 z (/.f64 z t)) y) (neg.f64 y) (.f64 (.f64 t (neg.f64 x)) x)) (.f64 (.f64 t (neg.f64 y)) y))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) y) x (*.f64 (/.f64 z t) (/.f64 z t))))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) x)) y) (/.f64 (.f64 z z) (.f64 t t)))

Outputs
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y)))

Calls

11 calls:

94.0ms	z
36.0ms	t
28.0ms	(/.f64 (.f64 x x) (.f64 y y))
23.0ms	(*.f64 t t)
12.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
97.1%	1	`x`
97.1%	1	`y`
97.1%	1	`z`
97.1%	1	`t`
97.1%	1	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
97.1%	1	`(/.f64 (.f64 x x) (.f64 y y))`
97.1%	1	`(*.f64 x x)`
97.1%	1	`(*.f64 y y)`
97.1%	1	`(/.f64 (.f64 z z) (.f64 t t))`
97.1%	1	`(*.f64 z z)`
97.1%	1	`(*.f64 t t)`

Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes188.0ms (1.7%)

Memory

7.9MiB live, 122.0MiB allocated

Counts

25 → 1

Calls

Call 1

Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z (.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z z) (.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
#s(approx (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x))
#s(approx (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 (.f64 (neg.f64 z) #s(literal -1 binary64)) (*.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z t) (.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 (neg.f64 z) t) (.f64 (/.f64 #s(literal -1 binary64) t) z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 t t)) (/.f64 (*.f64 z z) #s(literal -1 binary64))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (neg.f64 z) t) (*.f64 (/.f64 #s(literal -1 binary64) z) t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 x (.f64 y y)) x (/.f64 (.f64 z z) (*.f64 t t))))
(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 x (.f64 y y)) x (.f64 (/.f64 z t) (/.f64 z t))))
(fma.f64 (/.f64 z t) (/.f64 z t) (.f64 (/.f64 x (.f64 y y)) x))
(+.f64 (/.f64 x (/.f64 (.f64 y y) x)) (/.f64 (.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z)))
(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
(+.f64 (/.f64 (.f64 (/.f64 x y) x) y) (/.f64 (.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t))))

Outputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t))))

Calls

11 calls:

73.0ms	(/.f64 (.f64 z z) (.f64 t t))
43.0ms	x
14.0ms	(/.f64 (.f64 x x) (.f64 y y))
8.0ms	t
8.0ms	z

Results

Accuracy	Segments	Branch
96.8%	1	`z`
96.8%	1	`t`
96.8%	1	`(/.f64 (.f64 x x) (.f64 y y))`
96.8%	1	`(*.f64 y y)`
96.8%	1	`(*.f64 z z)`
96.8%	1	`(*.f64 t t)`
96.8%	1	`x`
96.8%	1	`y`
96.8%	1	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
96.8%	1	`(*.f64 x x)`
96.8%	1	`(/.f64 (.f64 z z) (.f64 t t))`

Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes247.0ms (2.3%)

Memory

0.3MiB live, 162.3MiB allocated

Counts

24 → 3

Calls

Call 1

Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z (.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z z) (.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
#s(approx (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x))
#s(approx (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 (.f64 (neg.f64 z) #s(literal -1 binary64)) (*.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z t) (.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 (neg.f64 z) t) (.f64 (/.f64 #s(literal -1 binary64) t) z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 t t)) (/.f64 (*.f64 z z) #s(literal -1 binary64))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (neg.f64 z) t) (*.f64 (/.f64 #s(literal -1 binary64) z) t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 x (.f64 y y)) x (/.f64 (.f64 z z) (*.f64 t t))))
(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 x (.f64 y y)) x (.f64 (/.f64 z t) (/.f64 z t))))
(fma.f64 (/.f64 z t) (/.f64 z t) (.f64 (/.f64 x (.f64 y y)) x))
(+.f64 (/.f64 x (/.f64 (.f64 y y) x)) (/.f64 (.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z)))
(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
(+.f64 (/.f64 (.f64 (/.f64 x y) x) y) (/.f64 (.f64 z z) (*.f64 t t)))

Outputs

#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y)))

(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t)))

(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x (*.f64 y y)) x))

Calls

11 calls:

72.0ms	(*.f64 x x)
68.0ms	z
32.0ms	(/.f64 (.f64 z z) (.f64 t t))
25.0ms	(*.f64 t t)
7.0ms	t

Results

Accuracy	Segments	Branch
91.6%	2	`x`
92.4%	2	`y`
90.1%	1	`z`
90.1%	1	`t`
90.1%	1	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
93.4%	2	`(/.f64 (.f64 x x) (.f64 y y))`
90.1%	1	`(*.f64 x x)`
92.3%	2	`(*.f64 y y)`
96.0%	3	`(/.f64 (.f64 z z) (.f64 t t))`
90.1%	1	`(*.f64 z z)`
90.1%	1	`(*.f64 t t)`

Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes68.0ms (0.6%)

Memory

-27.3MiB live, 14.5MiB allocated

Counts

23 → 2

Calls

Call 1

Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z (.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z z) (.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
#s(approx (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x))
#s(approx (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 (.f64 (neg.f64 z) #s(literal -1 binary64)) (*.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z t) (.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 (neg.f64 z) t) (.f64 (/.f64 #s(literal -1 binary64) t) z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 t t)) (/.f64 (*.f64 z z) #s(literal -1 binary64))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (neg.f64 z) t) (*.f64 (/.f64 #s(literal -1 binary64) z) t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 x (.f64 y y)) x (/.f64 (.f64 z z) (*.f64 t t))))
(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 x (.f64 y y)) x (.f64 (/.f64 z t) (/.f64 z t))))
(fma.f64 (/.f64 z t) (/.f64 z t) (.f64 (/.f64 x (.f64 y y)) x))
(+.f64 (/.f64 x (/.f64 (.f64 y y) x)) (/.f64 (.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z)))
(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))

Outputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y)))
(fma.f64 (/.f64 z t) (/.f64 z t) (.f64 (/.f64 x (.f64 y y)) x))

Calls

1 calls:

67.0ms

(/.f64 (*.f64 z z) (*.f64 t t))

Results

Accuracy	Segments	Branch
93.8%	2	`(/.f64 (.f64 z z) (.f64 t t))`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes6.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated

Counts

19 → 2

Calls

Call 1

Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z (.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z z) (.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
#s(approx (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x))
#s(approx (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 (.f64 (neg.f64 z) #s(literal -1 binary64)) (*.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z t) (.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 (neg.f64 z) t) (.f64 (/.f64 #s(literal -1 binary64) t) z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 t t)) (/.f64 (*.f64 z z) #s(literal -1 binary64))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (neg.f64 z) t) (*.f64 (/.f64 #s(literal -1 binary64) z) t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 x (.f64 y y)) x (/.f64 (.f64 z z) (*.f64 t t))))
(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 x (.f64 y y)) x (.f64 (/.f64 z t) (/.f64 z t))))

Outputs

#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y)))

#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 x (*.f64 y y)) x (*.f64 (/.f64 z t) (/.f64 z t))))

Calls

1 calls:

5.0ms

(/.f64 (*.f64 z z) (*.f64 t t))

Results

Accuracy	Segments	Branch
93.8%	2	`(/.f64 (.f64 z z) (.f64 t t))`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes291.0ms (2.7%)

Memory

-4.5MiB live, 113.3MiB allocated

Counts

18 → 3

Calls

Call 1

Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z (.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z z) (.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
#s(approx (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x))
#s(approx (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 (.f64 (neg.f64 z) #s(literal -1 binary64)) (*.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z t) (.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 (neg.f64 z) t) (.f64 (/.f64 #s(literal -1 binary64) t) z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 t t)) (/.f64 (*.f64 z z) #s(literal -1 binary64))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (neg.f64 z) t) (*.f64 (/.f64 #s(literal -1 binary64) z) t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 x (.f64 y y)) x (/.f64 (.f64 z z) (*.f64 t t))))
(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))

Outputs

#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y)))

#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 x (*.f64 y y)) x (/.f64 (*.f64 z z) (*.f64 t t))))

#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z))))

Calls

11 calls:

93.0ms	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
85.0ms	(/.f64 (.f64 x x) (.f64 y y))
68.0ms	(*.f64 x x)
6.0ms	t
6.0ms	x

Results

Accuracy	Segments	Branch
84.5%	3	`t`
81.0%	3	`(*.f64 x x)`
84.5%	3	`(*.f64 t t)`
84.2%	3	`z`
84.2%	3	`(*.f64 z z)`
80.6%	2	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
81.0%	3	`x`
83.1%	3	`(*.f64 y y)`
83.7%	3	`y`
86.2%	4	`(/.f64 (.f64 x x) (.f64 y y))`
87.2%	3	`(/.f64 (.f64 z z) (.f64 t t))`

Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes5.0ms (0%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

16 → 2

Calls

Call 1

Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z (.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z z) (.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
#s(approx (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x))
#s(approx (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 (.f64 (neg.f64 z) #s(literal -1 binary64)) (*.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z t) (.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 (neg.f64 z) t) (.f64 (/.f64 #s(literal -1 binary64) t) z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 t t)) (/.f64 (*.f64 z z) #s(literal -1 binary64))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (neg.f64 z) t) (*.f64 (/.f64 #s(literal -1 binary64) z) t)))

Outputs

#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y)))

#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z))))

Calls

1 calls:

4.0ms

(/.f64 (*.f64 z z) (*.f64 t t))

Results

Accuracy	Segments	Branch
84.9%	2	`(/.f64 (.f64 z z) (.f64 t t))`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes4.0ms (0%)

Memory

8.6MiB live, 8.6MiB allocated

Counts

12 → 2

Calls

Call 1

Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z (.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z z) (.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
#s(approx (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x))
#s(approx (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 (.f64 (neg.f64 z) #s(literal -1 binary64)) (*.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))

Outputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))

Calls

1 calls:

3.0ms

(/.f64 (*.f64 z z) (*.f64 t t))

Results

Accuracy	Segments	Branch
84.9%	2	`(/.f64 (.f64 z z) (.f64 t t))`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes21.0ms (0.2%)

Memory

-34.1MiB live, 6.9MiB allocated

Counts

11 → 2

Calls

Call 1

Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z (.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z z) (.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
#s(approx (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x))
#s(approx (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 (.f64 (neg.f64 z) #s(literal -1 binary64)) (*.f64 t t)) z))

Outputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))

Calls

1 calls:

20.0ms

(/.f64 (*.f64 z z) (*.f64 t t))

Results

Accuracy	Segments	Branch
84.9%	2	`(/.f64 (.f64 z z) (.f64 t t))`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes15.0ms (0.1%)

Memory

30.0MiB live, 30.0MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))

#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))

#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y)))

Outputs

#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y)))

#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))

#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y)))

Calls

8 calls:

2.0ms	t
2.0ms	z
2.0ms	y
2.0ms	(*.f64 y y)
2.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
73.7%	2	`(*.f64 y y)`
73.7%	2	`y`
74.4%	2	`z`
74.4%	2	`(*.f64 z z)`
72.6%	2	`t`
72.6%	2	`(*.f64 t t)`
74.0%	2	`(/.f64 (.f64 x x) (.f64 y y))`
83.0%	3	`(/.f64 (.f64 z z) (.f64 t t))`

Compiler

Compiled 26 to 41 computations (-57.7% saved)

regimes35.0ms (0.3%)

Memory

-0.4MiB live, 38.9MiB allocated

Accuracy

Total -2.9b remaining (-8.3%)

Threshold costs -2.9b (-8.3%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z (.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z z) (.f64 t t)))

Outputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z (.f64 t t)) z))

Calls

11 calls:

19.0ms	x
2.0ms	t
2.0ms	y
2.0ms	z
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
45.9%	1	`t`
45.9%	1	`(*.f64 t t)`
45.9%	1	`y`
45.9%	1	`(*.f64 y y)`
45.9%	1	`(/.f64 (.f64 x x) (.f64 y y))`
45.9%	1	`(*.f64 z z)`
45.9%	1	`z`
45.9%	1	`(*.f64 x x)`
45.9%	1	`x`
45.9%	1	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
45.9%	1	`(/.f64 (.f64 z z) (.f64 t t))`

Compiler

Compiled 45 to 61 computations (-35.6% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.9704419091421165e+87	3.951560986292752e+106
0.0ms	0.0	1.7490543971756e-311

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.2804840207708815e-270	8.607723082120397e-270

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.2804840207708815e-270	8.607723082120397e-270

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.857487630673304e+222	3.134451919319149e+259
0.0ms	3.2804840207708815e-270	8.607723082120397e-270

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.778261310009285e+23	7.928261446168013e+32

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.778261310009285e+23	7.928261446168013e+32

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.778261310009285e+23	7.928261446168013e+32

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	2.778261310009285e+23	7.928261446168013e+32

Compiler

Compiled 18 to 18 computations (0% saved)

simplify67.0ms (0.6%)

Memory

-23.2MiB live, 55.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	620
1	87	620
2	99	620
3	116	620
4	129	620
5	136	620
6	139	620

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 0 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 x y) (/.f64 x y))) (if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 9999999999999999594167244563503627314919960896484514396697390098067039229509544255160320 binary64)) (+.f64 (/.f64 (.f64 (/.f64 x y) x) y) (/.f64 (.f64 z z) (.f64 t t))) (fma.f64 (/.f64 z t) (/.f64 z t) (.f64 (/.f64 x (.f64 y y)) x))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 1487016908477783/297403381695556612559612499629980112026252040331878891811154371863188131432080874709033662899231270117959744758038594610090917049108981141558166116220478925156594168089491974788537281966859547374047839156470287441213549741375576017631419788069731616602409021090828782564753069762936832 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 x y) (/.f64 x y))) (fma.f64 (/.f64 z t) (/.f64 z t) (.f64 (/.f64 x (*.f64 y y)) x)))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 1487016908477783/297403381695556612559612499629980112026252040331878891811154371863188131432080874709033662899231270117959744758038594610090917049108981141558166116220478925156594168089491974788537281966859547374047839156470287441213549741375576017631419788069731616602409021090828782564753069762936832 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 x y) (/.f64 x y))) #s(approx (+ (/ ( x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 x (.f64 y y)) x (.f64 (/.f64 z t) (/.f64 z t)))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 1487016908477783/297403381695556612559612499629980112026252040331878891811154371863188131432080874709033662899231270117959744758038594610090917049108981141558166116220478925156594168089491974788537281966859547374047839156470287441213549741375576017631419788069731616602409021090828782564753069762936832 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 x y) (/.f64 x y))) (if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 5000000000000000233009035874103487842025429049746884307104902290093413906615431497863838561070978561605169882979927449326586308330034490456803110487463217202937150636836581109497436029475276191632298678857801213921774796800 binary64)) #s(approx (+ (/ ( x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 x (.f64 y y)) x (/.f64 (.f64 z z) (.f64 t t)))) #s(approx (+ (/ ( x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z t) (.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z))))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 499999999999999991611392 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 x y) (/.f64 x y))) #s(approx (+ (/ ( x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z t) (.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z)))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 499999999999999991611392 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 x y) (/.f64 x y))) #s(approx (+ (/ ( x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 499999999999999991611392 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 x y) (/.f64 x y))) #s(approx (+ (/ ( x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 499999999999999991611392 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 x y) (/.f64 x y))) (if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal +inf.0 binary64)) #s(approx (+ (/ ( x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z (.f64 t t)) z)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y)))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z (.f64 t t)) z))

Outputs
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 0 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 x y) (/.f64 x y))) (if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 9999999999999999594167244563503627314919960896484514396697390098067039229509544255160320 binary64)) (+.f64 (/.f64 (.f64 (/.f64 x y) x) y) (/.f64 (.f64 z z) (.f64 t t))) (fma.f64 (/.f64 z t) (/.f64 z t) (.f64 (/.f64 x (.f64 y y)) x))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 1487016908477783/297403381695556612559612499629980112026252040331878891811154371863188131432080874709033662899231270117959744758038594610090917049108981141558166116220478925156594168089491974788537281966859547374047839156470287441213549741375576017631419788069731616602409021090828782564753069762936832 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 x y) (/.f64 x y))) (fma.f64 (/.f64 z t) (/.f64 z t) (.f64 (/.f64 x (*.f64 y y)) x)))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 1487016908477783/297403381695556612559612499629980112026252040331878891811154371863188131432080874709033662899231270117959744758038594610090917049108981141558166116220478925156594168089491974788537281966859547374047839156470287441213549741375576017631419788069731616602409021090828782564753069762936832 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 x y) (/.f64 x y))) #s(approx (+ (/ ( x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 x (.f64 y y)) x (.f64 (/.f64 z t) (/.f64 z t)))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 1487016908477783/297403381695556612559612499629980112026252040331878891811154371863188131432080874709033662899231270117959744758038594610090917049108981141558166116220478925156594168089491974788537281966859547374047839156470287441213549741375576017631419788069731616602409021090828782564753069762936832 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 x y) (/.f64 x y))) (if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 5000000000000000233009035874103487842025429049746884307104902290093413906615431497863838561070978561605169882979927449326586308330034490456803110487463217202937150636836581109497436029475276191632298678857801213921774796800 binary64)) #s(approx (+ (/ ( x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 x (.f64 y y)) x (/.f64 (.f64 z z) (.f64 t t)))) #s(approx (+ (/ ( x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z t) (.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z))))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 1487016908477783/297403381695556612559612499629980112026252040331878891811154371863188131432080874709033662899231270117959744758038594610090917049108981141558166116220478925156594168089491974788537281966859547374047839156470287441213549741375576017631419788069731616602409021090828782564753069762936832 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 x y) (/.f64 x y))) (if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 5000000000000000233009035874103487842025429049746884307104902290093413906615431497863838561070978561605169882979927449326586308330034490456803110487463217202937150636836581109497436029475276191632298678857801213921774796800 binary64)) #s(approx (+ (/ ( x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 x (.f64 y y)) x (/.f64 (.f64 z z) (.f64 t t)))) #s(approx (+ (/ ( x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 (neg.f64 z) t) (.f64 (/.f64 #s(literal -1 binary64) t) z)))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 499999999999999991611392 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 x y) (/.f64 x y))) #s(approx (+ (/ ( x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z t) (.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z)))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 499999999999999991611392 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 x y) (/.f64 x y))) #s(approx (+ (/ ( x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 (neg.f64 z) t) (.f64 (/.f64 #s(literal -1 binary64) t) z))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 499999999999999991611392 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 x y) (/.f64 x y))) #s(approx (+ (/ ( x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 499999999999999991611392 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 x y) (/.f64 x y))) #s(approx (+ (/ ( x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 499999999999999991611392 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 x y) (/.f64 x y))) (if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal +inf.0 binary64)) #s(approx (+ (/ ( x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z (.f64 t t)) z)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y)))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z (.f64 t t)) z))

soundness1.3s (12.2%)

Memory

6.0MiB live, 1 008.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	1128
1	60	1128
2	192	1128
3	823	1128
4	2853	1128
5	3973	1128
6	6262	1128
7	7756	1128
0	8060	1092
0	37	6048
1	70	6048
2	202	6048
3	844	6048
4	2904	6048
5	4030	6048
6	6399	6048
0	8130	5796
0	36	237
0	56	193
1	220	176
2	2327	176
0	8318	176
0	11	41
0	18	41
1	69	33
2	813	33
0	8377	33
0	34	175
0	54	139
1	217	137
2	2554	137
0	8627	137

Stop Event

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

Compiler

Compiled 1 077 to 530 computations (50.8% saved)

preprocess112.0ms (1%)

Memory

-3.9MiB live, 189.9MiB allocated

Remove

(abs x)

(abs y)

(abs z)

(abs t)

Compiler

Compiled 848 to 254 computations (70% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze142.0ms (1.3%)

sample1.2s (10.7%)

explain369.0ms (3.4%)

preprocess270.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize26.0ms (0.2%)

series29.0ms (0.3%)

simplify203.0ms (1.9%)

rewrite366.0ms (3.4%)

eval114.0ms (1.1%)

prune34.0ms (0.3%)

simplify73.0ms (0.7%)

localize148.0ms (1.4%)

series98.0ms (0.9%)

simplify164.0ms (1.5%)

rewrite363.0ms (3.4%)

eval615.0ms (5.7%)

prune122.0ms (1.1%)

simplify351.0ms (3.3%)

localize99.0ms (0.9%)

series90.0ms (0.8%)

simplify214.0ms (2%)

rewrite237.0ms (2.2%)

eval510.0ms (4.7%)

prune208.0ms (1.9%)

simplify153.0ms (1.4%)

localize140.0ms (1.3%)

series94.0ms (0.9%)

simplify226.0ms (2.1%)

rewrite344.0ms (3.2%)

eval493.0ms (4.6%)

prune340.0ms (3.1%)

regimes353.0ms (3.3%)

regimes260.0ms (2.4%)

regimes188.0ms (1.7%)

regimes247.0ms (2.3%)

regimes68.0ms (0.6%)

regimes6.0ms (0.1%)

regimes291.0ms (2.7%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes21.0ms (0.2%)

regimes15.0ms (0.1%)

regimes35.0ms (0.3%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify67.0ms (0.6%)

soundness1.3s (12.2%)

preprocess112.0ms (1%)

end0.0ms (0%)

Profiling