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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze142.0ms (1.4%)

Memory

-9.2MiB live, 266.6MiB 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)

sample1.3s (12.8%)

Memory

44.2MiB live, 1 129.9MiB allocated

Samples

957.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 586.0ms

ival-mult: 416.0ms (71% of total)

ival-div: 122.0ms (20.8% of total)

ival-add: 37.0ms (6.3% of total)

ival-true: 7.0ms (1.2% of total)

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

Bogosity

explain137.0ms (1.4%)

Memory

-18.9MiB live, 268.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
82	-	1	(2.9191351450921255e-58 1.97179304790577e-156 1.1402319702357013e+148 4.91275142248765e-68)	`(/.f64 (.f64 x x) (.f64 y y))`
65	-	0	-	`(/.f64 (.f64 z z) (.f64 t t))`
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 x x) (.f64 y y))`	u/u	17	0
↳	`(*.f64 x x)`	underflow	69
↳	`(*.f64 y y)`	underflow	70
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	n/u	14	0
↳	`(*.f64 t t)`	underflow	60
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	o/o	14	0
↳	`(*.f64 x x)`	overflow	72
↳	`(*.f64 y y)`	overflow	66
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	n/u	12	0
↳	`(*.f64 y y)`	underflow	70
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	o/o	10	0
↳	`(*.f64 z z)`	overflow	62
↳	`(*.f64 t t)`	overflow	51
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	u/u	10	0
↳	`(*.f64 z z)`	underflow	59
↳	`(*.f64 t t)`	underflow	60
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	o/n	10	0
↳	`(*.f64 x x)`	overflow	72
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	o/n	8	0
↳	`(*.f64 z z)`	overflow	62
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	n/o	7	0
↳	`(*.f64 t t)`	overflow	51
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	n/o	6	0
↳	`(*.f64 y y)`	overflow	66
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	u/n	6	0
↳	`(*.f64 z z)`	underflow	59
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	u/n	6	0
↳	`(*.f64 x x)`	underflow	69

Confusion

	Predicted +	Predicted -
+	91	4
-	26	135

Precision

0.7777777777777778

Recall

0.9578947368421052

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	91	0	4
-	26	0	135

Precision?

0.7777777777777778

Recall?

0.9578947368421052

Freqs

test

number	freq
0	139
1	114
2	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

50.0ms

512×

valid

Compiler

Compiled 154 to 48 computations (68.8% saved)

Precisions

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

ival-div: 14.0ms (48.7% of total)

ival-mult: 12.0ms (41.7% of total)

ival-add: 2.0ms (7% of total)

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

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

preprocess264.0ms (2.7%)

Memory

10.1MiB live, 48.9MiB 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.7%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify3.0ms (0%)

Memory

7.6MiB live, 7.6MiB 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

localize43.0ms (0.4%)

Memory

7.3MiB live, 89.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0	(*.f64 t t)
accuracy	15.369082488726685	(/.f64 (.f64 z z) (.f64 t t))
accuracy	19.212062787840907	(/.f64 (.f64 x x) (.f64 y y))

Samples

36.0ms

256×

valid

Compiler

Compiled 92 to 24 computations (73.9% saved)

Precisions

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

ival-mult: 6.0ms (56.4% of total)

ival-div: 3.0ms (28.2% of total)

ival-add: 1.0ms (9.4% of total)

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

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

series18.0ms (0.2%)

Memory

-0.3MiB live, 38.7MiB 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 x x) (.f64 y y)) (patch (/.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 z z) (.f64 t t)) (patch (/.f64 (.f64 z z) (.f64 t t)) #<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
3.0ms	t	@	0	((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* x x) (* y y)) (/ (* z z) (* t t)) (* t t))
2.0ms	y	@	0	((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* x x) (* y y)) (/ (* z z) (* t t)) (* t t))
1.0ms	t	@	inf	((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* x x) (* y y)) (/ (* z z) (* t t)) (* t t))
1.0ms	x	@	inf	((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* x x) (* y y)) (/ (* z z) (* t t)) (* t t))
1.0ms	z	@	inf	((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* x x) (* y y)) (/ (* z z) (* t t)) (* t t))

simplify153.0ms (1.5%)

Memory

0.2MiB live, 237.9MiB 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)

rewrite235.0ms (2.4%)

Memory

-17.8MiB live, 232.6MiB 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 x x) (.f64 y y))
(/.f64 (.f64 z z) (.f64 t t))
(*.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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eval83.0ms (0.8%)

Memory: -6.5MiB live, 117.6MiB allocated
Compiler: Compiled 10 577 to 1 105 computations (89.6% saved)

prune27.0ms (0.3%)

Memory

-0.3MiB live, 75.2MiB allocated

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	541	21	562
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	541	22	563

Accuracy

100.0%

Counts

563 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.2%	(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))))))
▶	99.7%	(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
	96.6%	(fma.f64 z (*.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 z t)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
	74.7%	(/.f64 (fma.f64 (.f64 (.f64 x (/.f64 x y)) t) t (.f64 (.f64 y z) z)) (.f64 (.f64 y t) t))
	61.5%	(/.f64 (fma.f64 (.f64 z (/.f64 z t)) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t) (.f64 t (pow.f64 (/.f64 x y) #s(literal -2 binary64))))
	83.1%	(/.f64 (fma.f64 (.f64 z (/.f64 z t)) y (.f64 t (.f64 x (/.f64 x y)))) (.f64 t y))
▶	54.7%	(/.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))))
	60.4%	(/.f64 (+.f64 y (.f64 (.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) x) (/.f64 x y))) (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y))
	81.3%	(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (.f64 z z) (.f64 t t)))
	78.4%	(+.f64 (/.f64 (.f64 (/.f64 x y) x) y) (/.f64 (.f64 z z) (*.f64 t t)))
	76.5%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z)))
▶	74.0%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
✓	63.7%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
	70.3%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z)))
	71.3%	(+.f64 (/.f64 x (/.f64 (.f64 y y) x)) (/.f64 (.f64 z z) (*.f64 t t)))
	81.3%	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 z z) (*.f64 t t)))
	69.6%	(.f64 (fma.f64 (.f64 (.f64 z (/.f64 z t)) y) (neg.f64 y) (.f64 (.f64 t (neg.f64 x)) x)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 t (neg.f64 y)) y)))
	82.8%	(.f64 (fma.f64 (.f64 z (/.f64 z t)) y (.f64 t (.f64 x (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 t y)))
	16.7%	(.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (.f64 (/.f64 z t) (/.f64 x y)) #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 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))) #s(literal -1 binary64))))
▶	66.9%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (fma.f64 (.f64 (/.f64 t y) x) (.f64 (/.f64 t y) x) (.f64 z z)) (.f64 t t)))
	61.5%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x))
▶	56.2%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))

Compiler

Compiled 835 to 527 computations (36.9% saved)

simplify10.0ms (0.1%)

Memory

17.8MiB live, 17.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (/.f64 z t) #s(literal -2 binary64))
cost-diff	0	(/.f64 x y)
cost-diff	0	(*.f64 x (/.f64 x y))
cost-diff	0	(fma.f64 (*.f64 x (/.f64 x y)) (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y)
cost-diff	0	(/.f64 t y)
cost-diff	0	(*.f64 (/.f64 t y) x)
cost-diff	0	(/.f64 (fma.f64 (.f64 (/.f64 t y) x) (.f64 (/.f64 t y) x) (.f64 z z)) (.f64 t t))
cost-diff	0	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (fma.f64 (.f64 (/.f64 t y) x) (.f64 (/.f64 t y) x) (.f64 z z)) (.f64 t t)))
cost-diff	0	(/.f64 (*.f64 (/.f64 z t) z) t)
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 (/.f64 z t) 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: 0 (0.0ms)

Iter	Nodes	Cost
0	37	254
0	59	243
1	93	243
2	142	240
3	214	240
4	286	240
5	304	240
0	304	237

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

localize411.0ms (4.1%)

Memory

-28.6MiB live, 128.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.21941376953688402	(pow.f64 (/.f64 z t) #s(literal -2 binary64))
accuracy	5.398256883107626	(*.f64 y (pow.f64 (/.f64 z t) #s(literal -2 binary64)))
accuracy	13.027477213113032	(fma.f64 (*.f64 x (/.f64 x y)) (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y)
accuracy	16.145264567527217	(/.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))))
accuracy	0	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (fma.f64 (.f64 (/.f64 t y) x) (.f64 (/.f64 t y) x) (.f64 z z)) (.f64 t t)))
accuracy	0.11947250976844201	(fma.f64 (.f64 (/.f64 t y) x) (.f64 (/.f64 t y) x) (*.f64 z z))
accuracy	8.369556263095573	(*.f64 (/.f64 t y) x)
accuracy	18.720411055115992	(/.f64 (fma.f64 (.f64 (/.f64 t y) x) (.f64 (/.f64 t y) x) (.f64 z z)) (.f64 t t))
accuracy	0	(*.f64 x x)
accuracy	0.12109375	(*.f64 (/.f64 z t) z)
accuracy	3.9860136130317754	(/.f64 (*.f64 (/.f64 z t) z) t)
accuracy	19.212062787840907	(/.f64 (.f64 x x) (.f64 y y))
accuracy	0	(/.f64 z t)
accuracy	0.22560502930532605	(*.f64 (/.f64 z t) (/.f64 z t))
accuracy	27.96946640208731	#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	0.08822250976844201	(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
accuracy	0.201503759768442	(pow.f64 (/.f64 x y) #s(literal 2 binary64))

Samples

78.0ms

256×

valid

Compiler

Compiled 458 to 64 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-div: 30.0ms (52.4% of total)

ival-mult: 16.0ms (28% of total)

ival-add: 6.0ms (10.5% of total)

ival-pow2: 3.0ms (5.2% of total)

ival-pow: 3.0ms (5.2% of total)

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

exact: 0.0ms (0% of total)

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

series82.0ms (0.8%)

Memory

18.0MiB live, 98.7MiB allocated

Counts

22 → 720

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

Calls

12 calls:

Time	Variable		Point	Expression
13.0ms	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 t) z) t)) (* x x) (* y y) (/ (* (/ z t) z) t) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (+ (* (* (/ t y) x) (* (/ t y) x)) (* z z)) (* t t)) (* (/ t y) x) (/ t y) (+ (* (* x (/ x y)) (pow (/ z t) -2)) y) (* x (/ x y)) (pow (/ z t) -2) (/ (* x x) (* y y)) (* (/ z t) z) (+ (* (* (/ t y) x) (* (/ t y) x)) (* z z)) (/ (+ (* (* x (/ x y)) (pow (/ z t) -2)) y) (* y (pow (/ z t) -2))) (* y (pow (/ z t) -2)))
6.0ms	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 t) z) t)) (* x x) (* y y) (/ (* (/ z t) z) t) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (+ (* (* (/ t y) x) (* (/ t y) x)) (* z z)) (* t t)) (* (/ t y) x) (/ t y) (+ (* (* x (/ x y)) (pow (/ z t) -2)) y) (* x (/ x y)) (pow (/ z t) -2) (/ (* x x) (* y y)) (* (/ z t) z) (+ (* (* (/ t y) x) (* (/ t y) x)) (* z z)) (/ (+ (* (* x (/ x y)) (pow (/ z t) -2)) y) (* y (pow (/ z t) -2))) (* y (pow (/ z t) -2)))
5.0ms	y	@	-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 t) z) t)) (* x x) (* y y) (/ (* (/ z t) z) t) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (+ (* (* (/ t y) x) (* (/ t y) x)) (* z z)) (* t t)) (* (/ t y) x) (/ t y) (+ (* (* x (/ x y)) (pow (/ z t) -2)) y) (* x (/ x y)) (pow (/ z t) -2) (/ (* x x) (* y y)) (* (/ z t) z) (+ (* (* (/ t y) x) (* (/ t y) x)) (* z z)) (/ (+ (* (* x (/ x y)) (pow (/ z t) -2)) y) (* y (pow (/ z t) -2))) (* y (pow (/ z t) -2)))
4.0ms	y	@	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 t) z) t)) (* x x) (* y y) (/ (* (/ z t) z) t) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (+ (* (* (/ t y) x) (* (/ t y) x)) (* z z)) (* t t)) (* (/ t y) x) (/ t y) (+ (* (* x (/ x y)) (pow (/ z t) -2)) y) (* x (/ x y)) (pow (/ z t) -2) (/ (* x x) (* y y)) (* (/ z t) z) (+ (* (* (/ t y) x) (* (/ t y) x)) (* z z)) (/ (+ (* (* x (/ x y)) (pow (/ z t) -2)) y) (* y (pow (/ z t) -2))) (* y (pow (/ z t) -2)))
4.0ms	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 t) z) t)) (* x x) (* y y) (/ (* (/ z t) z) t) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (+ (* (* (/ t y) x) (* (/ t y) x)) (* z z)) (* t t)) (* (/ t y) x) (/ t y) (+ (* (* x (/ x y)) (pow (/ z t) -2)) y) (* x (/ x y)) (pow (/ z t) -2) (/ (* x x) (* y y)) (* (/ z t) z) (+ (* (* (/ t y) x) (* (/ t y) x)) (* z z)) (/ (+ (* (* x (/ x y)) (pow (/ z t) -2)) y) (* y (pow (/ z t) -2))) (* y (pow (/ z t) -2)))

simplify177.0ms (1.8%)

Memory

-22.6MiB live, 177.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	7038
1	182	7038
2	589	7038
3	3743	7038
4	6057	7038
0	8217	6750

Stop Event

1×	iter limit
1×	node limit

Counts

720 → 714

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

rewrite308.0ms (3.1%)

Memory

34.3MiB live, 314.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	216
0	59	186
1	229	186
2	2193	184
0	8529	181

Stop Event

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

Counts

22 → 1 160

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

Outputs
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eval384.0ms (3.9%)

Memory: 2.8MiB live, 568.8MiB allocated
Compiler: Compiled 47 386 to 3 533 computations (92.5% saved)

prune267.0ms (2.7%)

Memory

14.2MiB live, 213.2MiB allocated

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	2 462	10	2 472
Fresh	10	6	16
Picked	3	2	5
Done	0	1	1
Total	2 475	19	2 494

Accuracy

100.0%

Counts

2 494 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.5%	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y))
▶	96.9%	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x #s(literal 1 binary64)) (.f64 y (/.f64 y x))))
	74.7%	(/.f64 (fma.f64 (.f64 (.f64 x (/.f64 x y)) t) t (.f64 (.f64 y z) z)) (.f64 (.f64 y t) t))
	53.7%	(/.f64 (fma.f64 (.f64 x (/.f64 x y)) (/.f64 t (.f64 (/.f64 z t) z)) y) (*.f64 y (pow.f64 (/.f64 z t) #s(literal -2 binary64))))
▶	81.3%	(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (.f64 z z) (.f64 t t)))
	78.4%	(+.f64 (/.f64 (.f64 (/.f64 x y) x) y) (/.f64 (.f64 z z) (*.f64 t t)))
	74.0%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (/.f64 z (/.f64 t z)) t))
✓	63.7%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
▶	70.3%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z)))
	71.3%	(+.f64 (/.f64 x (/.f64 (.f64 y y) x)) (/.f64 (.f64 z z) (*.f64 t t)))
	81.3%	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 z z) (*.f64 t t)))
	55.3%	#s(approx (/ (+ (* (* x (/ x y)) (pow (/ z t) -2)) y) (* y (pow (/ z t) -2))) (*.f64 (/.f64 (/.f64 z t) t) z))
	61.5%	#s(approx (/ (+ (* (* x (/ x y)) (pow (/ z t) -2)) y) (* y (pow (/ z t) -2))) (*.f64 (/.f64 (/.f64 x y) y) x))
✓	66.9%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (fma.f64 (.f64 (/.f64 t y) x) (.f64 (/.f64 t y) x) (.f64 z z)) (.f64 t t)))
	56.2%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
	53.7%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
▶	47.3%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z z) (.f64 t t)))
▶	53.9%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z #s(literal 1 binary64)) (.f64 t (/.f64 t z))))
✓	56.2%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))

Compiler

Compiled 466 to 353 computations (24.2% saved)

simplify12.0ms (0.1%)

Memory

20.8MiB live, 20.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y x)
cost-diff	0	(/.f64 x y)
cost-diff	128	(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (.f64 z z) (.f64 t t)))
cost-diff	384	(/.f64 (/.f64 x y) (/.f64 y x))
cost-diff	0	(/.f64 z (/.f64 (*.f64 t t) 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 z (/.f64 (*.f64 t t) z)))
cost-diff	0	(*.f64 t (/.f64 t z))
cost-diff	0	(/.f64 (.f64 z #s(literal 1 binary64)) (.f64 t (/.f64 t z)))
cost-diff	0	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z #s(literal 1 binary64)) (.f64 t (/.f64 t z))))
cost-diff	320	(*.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 x #s(literal 1 binary64)) (.f64 y (/.f64 y x)))
cost-diff	0	(/.f64 z t)
cost-diff	0	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x #s(literal 1 binary64)) (.f64 y (/.f64 y x))))
cost-diff	320	(*.f64 x #s(literal 1 binary64))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	222
0	57	208
1	101	206
2	195	206
3	309	206
4	334	206
5	338	206
6	346	206
7	360	206
8	368	206
0	368	206

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize211.0ms (2.1%)

Memory

-34.8MiB live, 116.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z z)
accuracy	0	(*.f64 t t)
accuracy	0.146816259768442	(/.f64 (/.f64 x y) (/.f64 y x))
accuracy	15.369082488726685	(/.f64 (.f64 z z) (.f64 t t))
accuracy	0	(*.f64 t t)
accuracy	4.298957810339952	(/.f64 z (/.f64 (*.f64 t t) z))
accuracy	7.119567006435392	(/.f64 (*.f64 t t) z)
accuracy	19.212062787840907	(/.f64 (.f64 x x) (.f64 y y))
accuracy	0	(*.f64 z #s(literal 1 binary64))
accuracy	0.12109375	(*.f64 t (/.f64 t z))
accuracy	4.298957810339952	(/.f64 (.f64 z #s(literal 1 binary64)) (.f64 t (/.f64 t z)))
accuracy	27.96946640208731	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z #s(literal 1 binary64)) (.f64 t (/.f64 t z))))
accuracy	0	(*.f64 z z)
accuracy	0	(*.f64 t t)
accuracy	15.369082488726685	(/.f64 (.f64 z z) (.f64 t t))
accuracy	27.96946640208731	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z z) (.f64 t t)))
accuracy	0	(*.f64 x #s(literal 1 binary64))
accuracy	0.08822250976844201	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x #s(literal 1 binary64)) (.f64 y (/.f64 y x))))
accuracy	0.12109375	(*.f64 y (/.f64 y x))
accuracy	5.142749563111442	(/.f64 (.f64 x #s(literal 1 binary64)) (.f64 y (/.f64 y x)))

Samples

184.0ms

256×

valid

Compiler

Compiled 399 to 60 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 159.0ms

ival-div: 134.0ms (84.4% of total)

ival-mult: 17.0ms (10.7% of total)

ival-add: 7.0ms (4.4% of total)

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

exact: 0.0ms (0% of total)

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

series45.0ms (0.5%)

Memory

-4.3MiB live, 68.9MiB allocated

Counts

23 → 600

Calls

Call 1

Inputs
#s(alt (.f64 x #s(literal 1 binary64)) (patch (.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x #s(literal 1 binary64)) (.f64 y (/.f64 y x)))) (patch (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x #s(literal 1 binary64)) (.f64 y (/.f64 y x)))) #<representation binary64>) () ())
#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 x #s(literal 1 binary64)) (.f64 y (/.f64 y x))) (patch (/.f64 (.f64 x #s(literal 1 binary64)) (.f64 y (/.f64 y x))) #<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 z #s(literal 1 binary64)) (patch (.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z #s(literal 1 binary64)) (.f64 t (/.f64 t z)))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z #s(literal 1 binary64)) (.f64 t (/.f64 t z)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 z #s(literal 1 binary64)) (.f64 t (/.f64 t z))) (patch (/.f64 (.f64 z #s(literal 1 binary64)) (.f64 t (/.f64 t z))) #<representation binary64>) () ())
#s(alt (.f64 t (/.f64 t z)) (patch (.f64 t (/.f64 t z)) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 z (/.f64 (.f64 t t) z))) (patch (+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 z (/.f64 (.f64 t t) z))) #<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 (/.f64 (.f64 t t) z)) (patch (/.f64 z (/.f64 (.f64 t t) z)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 x y) (/.f64 y x)) (patch (/.f64 (/.f64 x y) (/.f64 y x)) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (.f64 z z) (.f64 t t))) (patch (+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (.f64 z z) (.f64 t t))) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())
#s(alt (.f64 y (/.f64 y x)) (patch (.f64 y (/.f64 y x)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 x x) (.f64 y y)) (patch (/.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 t t) z) (patch (/.f64 (.f64 t t) z) #<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 x #s(literal 1 binary64)) (.f64 y (/.f64 y x)))) (patch (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x #s(literal 1 binary64)) (.f64 y (/.f64 y x)))) #<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 x #s(literal 1 binary64)) (.f64 y (/.f64 y x)))) (patch (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x #s(literal 1 binary64)) (.f64 y (/.f64 y x)))) #<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 x #s(literal 1 binary64)) (.f64 y (/.f64 y x)))) (patch (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x #s(literal 1 binary64)) (.f64 y (/.f64 y x)))) #<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 x #s(literal 1 binary64)) (.f64 y (/.f64 y x)))) (patch (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x #s(literal 1 binary64)) (.f64 y (/.f64 y x)))) #<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 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 (/ (+ (/ (* (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 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 (/ (+ (/ (* (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 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 (/ (+ (/ (* (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 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 (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 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>) () ())) ())
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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 y) (/.f64 y x)) (/.f64 (.f64 z z) (.f64 t t))) (patch (+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.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 y) (/.f64 y x)) (/.f64 (.f64 z z) (.f64 t t))) (patch (+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.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 y) (/.f64 y x)) (/.f64 (.f64 z z) (.f64 t t))) (patch (+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.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>) () ())) ())
#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 y 2) x) (taylor inf x) (#s(alt (.f64 y (/.f64 y x)) (patch (.f64 y (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor inf x) (#s(alt (.f64 y (/.f64 y x)) (patch (.f64 y (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor inf x) (#s(alt (.f64 y (/.f64 y x)) (patch (.f64 y (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor inf x) (#s(alt (.f64 y (/.f64 y x)) (patch (.f64 y (/.f64 y 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 x (taylor -inf x) (#s(alt (.f64 x #s(literal 1 binary64)) (patch (.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (.f64 x #s(literal 1 binary64)) (patch (.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (.f64 x #s(literal 1 binary64)) (patch (.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (.f64 x #s(literal 1 binary64)) (patch (.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x #s(literal 1 binary64)) (.f64 y (/.f64 y x)))) (patch (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x #s(literal 1 binary64)) (.f64 y (/.f64 y x)))) #<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 x #s(literal 1 binary64)) (.f64 y (/.f64 y x)))) (patch (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x #s(literal 1 binary64)) (.f64 y (/.f64 y x)))) #<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 x #s(literal 1 binary64)) (.f64 y (/.f64 y x)))) (patch (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x #s(literal 1 binary64)) (.f64 y (/.f64 y x)))) #<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 x #s(literal 1 binary64)) (.f64 y (/.f64 y x)))) (patch (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x #s(literal 1 binary64)) (.f64 y (/.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 x #s(literal 1 binary64)) (.f64 y (/.f64 y x))) (patch (/.f64 (.f64 x #s(literal 1 binary64)) (.f64 y (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 x #s(literal 1 binary64)) (.f64 y (/.f64 y x))) (patch (/.f64 (.f64 x #s(literal 1 binary64)) (.f64 y (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 x #s(literal 1 binary64)) (.f64 y (/.f64 y x))) (patch (/.f64 (.f64 x #s(literal 1 binary64)) (.f64 y (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 x #s(literal 1 binary64)) (.f64 y (/.f64 y x))) (patch (/.f64 (.f64 x #s(literal 1 binary64)) (.f64 y (/.f64 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 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 (* (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 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 (* (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 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 (* (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 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 (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z #s(literal 1 binary64)) (.f64 t (/.f64 t z)))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z #s(literal 1 binary64)) (.f64 t (/.f64 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 #s(literal 1 binary64)) (.f64 t (/.f64 t z)))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z #s(literal 1 binary64)) (.f64 t (/.f64 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 #s(literal 1 binary64)) (.f64 t (/.f64 t z)))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z #s(literal 1 binary64)) (.f64 t (/.f64 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 #s(literal 1 binary64)) (.f64 t (/.f64 t z)))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z #s(literal 1 binary64)) (.f64 t (/.f64 t z)))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 z (/.f64 (.f64 t t) z))) (patch (+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 z (/.f64 (.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 (+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 z (/.f64 (.f64 t t) z))) (patch (+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 z (/.f64 (.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 (+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 z (/.f64 (.f64 t t) z))) (patch (+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 z (/.f64 (.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 (+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 z (/.f64 (.f64 t t) z))) (patch (+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 z (/.f64 (.f64 t t) z))) #<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 y) (/.f64 y x)) (patch (/.f64 (/.f64 x y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) (/.f64 y x)) (patch (/.f64 (/.f64 x y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) (/.f64 y x)) (patch (/.f64 (/.f64 x y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) (/.f64 y x)) (patch (/.f64 (/.f64 x y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (.f64 z z) (.f64 t t))) (patch (+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.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 y) (/.f64 y x)) (/.f64 (.f64 z z) (.f64 t t))) (patch (+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.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 y) (/.f64 y x)) (/.f64 (.f64 z z) (.f64 t t))) (patch (+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.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 y) (/.f64 y x)) (/.f64 (.f64 z z) (.f64 t t))) (patch (+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.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>) () ())) ())
#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 y 2) x) (taylor -inf x) (#s(alt (.f64 y (/.f64 y x)) (patch (.f64 y (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (.f64 y (/.f64 y x)) (patch (.f64 y (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (.f64 y (/.f64 y x)) (patch (.f64 y (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (.f64 y (/.f64 y x)) (patch (.f64 y (/.f64 y 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
8.0ms	t	@	-inf	((* x 1) (+ (* (/ z t) (/ z t)) (/ (* x 1) (* y (/ y x)))) (/ z t) (/ (* x 1) (* y (/ y x))) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (* z 1) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* z 1) (* t (/ t z))) (* t (/ t z)) (+ (/ (* x x) (* y y)) (/ z (/ (* t t) z))) (* x x) (* y y) (/ z (/ (* t t) z)) (/ (/ x y) (/ y x)) (+ (/ (/ x y) (/ y x)) (/ (* z z) (* t t))) (/ x y) (/ y x) (* y (/ y x)) (/ (* x x) (* y y)) (/ (* t t) z))
2.0ms	x	@	-inf	((* x 1) (+ (* (/ z t) (/ z t)) (/ (* x 1) (* y (/ y x)))) (/ z t) (/ (* x 1) (* y (/ y x))) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (* z 1) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* z 1) (* t (/ t z))) (* t (/ t z)) (+ (/ (* x x) (* y y)) (/ z (/ (* t t) z))) (* x x) (* y y) (/ z (/ (* t t) z)) (/ (/ x y) (/ y x)) (+ (/ (/ x y) (/ y x)) (/ (* z z) (* t t))) (/ x y) (/ y x) (* y (/ y x)) (/ (* x x) (* y y)) (/ (* t t) z))
2.0ms	z	@	-inf	((* x 1) (+ (* (/ z t) (/ z t)) (/ (* x 1) (* y (/ y x)))) (/ z t) (/ (* x 1) (* y (/ y x))) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (* z 1) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* z 1) (* t (/ t z))) (* t (/ t z)) (+ (/ (* x x) (* y y)) (/ z (/ (* t t) z))) (* x x) (* y y) (/ z (/ (* t t) z)) (/ (/ x y) (/ y x)) (+ (/ (/ x y) (/ y x)) (/ (* z z) (* t t))) (/ x y) (/ y x) (* y (/ y x)) (/ (* x x) (* y y)) (/ (* t t) z))
2.0ms	x	@	inf	((* x 1) (+ (* (/ z t) (/ z t)) (/ (* x 1) (* y (/ y x)))) (/ z t) (/ (* x 1) (* y (/ y x))) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (* z 1) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* z 1) (* t (/ t z))) (* t (/ t z)) (+ (/ (* x x) (* y y)) (/ z (/ (* t t) z))) (* x x) (* y y) (/ z (/ (* t t) z)) (/ (/ x y) (/ y x)) (+ (/ (/ x y) (/ y x)) (/ (* z z) (* t t))) (/ x y) (/ y x) (* y (/ y x)) (/ (* x x) (* y y)) (/ (* t t) z))
2.0ms	y	@	-inf	((* x 1) (+ (* (/ z t) (/ z t)) (/ (* x 1) (* y (/ y x)))) (/ z t) (/ (* x 1) (* y (/ y x))) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (* z 1) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* z 1) (* t (/ t z))) (* t (/ t z)) (+ (/ (* x x) (* y y)) (/ z (/ (* t t) z))) (* x x) (* y y) (/ z (/ (* t t) z)) (/ (/ x y) (/ y x)) (+ (/ (/ x y) (/ y x)) (/ (* z z) (* t t))) (/ x y) (/ y x) (* y (/ y x)) (/ (* x x) (* y y)) (/ (* t t) z))

simplify167.0ms (1.7%)

Memory

-8.9MiB live, 148.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	4992
1	65	4992
2	198	4992
3	833	4992
4	2873	4992
5	3992	4992
6	6320	4992
7	7814	4992
0	8118	4812

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 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 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 t 2) z)
(/ (pow t 2) z)
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(* (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) (+ (/ 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 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)))))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (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 t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.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 t 2) z)
(/.f64 (*.f64 t t) z)
(/ (pow t 2) z)
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(/ (pow t 2) z)
(/.f64 (*.f64 t t) z)
(/ (pow t 2) z)
(/.f64 (*.f64 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))
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(/ (pow z 2) (pow t 2))
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(/ (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 t 2) z)
(/.f64 (*.f64 t t) z)
(/ (pow t 2) z)
(/.f64 (*.f64 t t) z)
(/ (pow t 2) z)
(/.f64 (*.f64 t t) z)
(/ (pow t 2) z)
(/.f64 (*.f64 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))
(/ z t)
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(/ 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 t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.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 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)))
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(/ (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))
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(/ (pow t 2) z)
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(/ (pow t 2) z)
(/.f64 (*.f64 t t) z)
(/ (pow t 2) z)
(/.f64 (*.f64 t t) z)
(/ (pow t 2) z)
(/.f64 (*.f64 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)))
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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 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)))
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(/ (pow t 2) z)
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(/ (pow t 2) z)
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(/ (pow t 2) z)
(/.f64 (*.f64 t t) z)
(/ (pow t 2) z)
(/.f64 (*.f64 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))
(/ z t)
(/.f64 z t)
(/ z t)
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(/ 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 t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (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))
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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 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) z)
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(/ (pow t 2) z)
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(/ (pow x 2) (pow y 2))
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(/ (pow z 2) (pow t 2))
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(/ z t)
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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
z
z
z
(/ (pow x 2) (pow y 2))
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rewrite271.0ms (2.7%)

Memory

29.6MiB live, 342.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	182
0	57	151
1	230	135
2	3486	135
0	9331	135

Stop Event

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

Counts

23 → 1 629

Calls

Call 1

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

Outputs
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eval419.0ms (4.2%)

Memory: 10.0MiB live, 506.2MiB allocated
Compiler: Compiled 46 159 to 2 552 computations (94.5% saved)

prune131.0ms (1.3%)

Memory

-47.9MiB live, 196.5MiB allocated

Pruning

21 alts after pruning (16 fresh and 5 done)

	Pruned	Kept	Total
New	2 461	6	2 467
Fresh	1	10	11
Picked	3	2	5
Done	0	3	3
Total	2 465	21	2 486

Accuracy

100.0%

Counts

2 486 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.5%	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y))
▶	96.9%	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y)))
	53.7%	(/.f64 (fma.f64 (.f64 x (/.f64 x y)) (/.f64 t (.f64 (/.f64 z t) z)) y) (*.f64 y (pow.f64 (/.f64 z t) #s(literal -2 binary64))))
✓	81.3%	(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (.f64 z z) (.f64 t t)))
	78.4%	(+.f64 (/.f64 (.f64 (/.f64 x y) x) y) (/.f64 (.f64 z z) (*.f64 t t)))
	74.0%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (/.f64 z (/.f64 t z)) t))
✓	63.7%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
	71.3%	(+.f64 (/.f64 x (/.f64 (.f64 y y) x)) (/.f64 (.f64 z z) (*.f64 t t)))
	79.4%	(+.f64 (/.f64 x (.f64 (/.f64 y x) y)) (/.f64 (.f64 z z) (*.f64 t t)))
▶	81.3%	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 z z) (*.f64 t t)))
▶	55.3%	#s(approx (/ (+ (* (* x (/ x y)) (pow (/ z t) -2)) y) (* y (pow (/ z t) -2))) (*.f64 (/.f64 (/.f64 z t) t) z))
	61.5%	#s(approx (/ (+ (* (* x (/ x y)) (pow (/ z t) -2)) y) (* y (pow (/ z t) -2))) (*.f64 (/.f64 (/.f64 x y) y) x))
✓	66.9%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (fma.f64 (.f64 (/.f64 t y) x) (.f64 (/.f64 t y) x) (.f64 z z)) (.f64 t t)))
	56.2%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
	53.7%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
✓	47.3%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z z) (.f64 t t)))
	51.7%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z #s(literal 1 binary64)) (/.f64 (.f64 t t) z)))
	53.9%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
	56.2%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t z) (/.f64 z t))))
▶	51.6%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z (.f64 (neg.f64 t) t)) (neg.f64 z)))
✓	56.2%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))

Compiler

Compiled 455 to 360 computations (20.9% saved)

simplify156.0ms (1.6%)

Memory

-3.7MiB live, 105.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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))
cost-diff	0	(*.f64 z z)
cost-diff	0	(/.f64 x y)
cost-diff	0	(*.f64 (/.f64 x y) (/.f64 x y))
cost-diff	128	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 z z) (*.f64 t t)))
cost-diff	0	(/.f64 z t)
cost-diff	0	(/.f64 (/.f64 z t) t)
cost-diff	0	(*.f64 (/.f64 (/.f64 z t) t) z)
cost-diff	0	#s(approx (/ (+ (* (* x (/ x y)) (pow (/ z t) -2)) y) (* y (pow (/ z t) -2))) (*.f64 (/.f64 (/.f64 z t) t) z))
cost-diff	0	(neg.f64 t)
cost-diff	0	(*.f64 (neg.f64 t) t)
cost-diff	0	(/.f64 z (*.f64 (neg.f64 t) t))
cost-diff	0	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z (.f64 (neg.f64 t) t)) (neg.f64 z)))
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: 0 (0.0ms)

Iter	Nodes	Cost
0	43	210
0	64	212
1	107	212
2	168	204
3	329	204
4	810	204
5	1671	204
6	1762	204
7	1908	204
8	2172	204
9	3055	204
10	4444	204
11	5351	204
12	6257	204
13	7135	204
14	7419	204
15	7460	204
16	7664	204
0	8078	203

Stop Event

1×	iter limit
1×	node limit
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 (.f64 (neg.f64 t) t)) (neg.f64 z)))
(.f64 (/.f64 z (.f64 (neg.f64 t) t)) (neg.f64 z))
(/.f64 z (*.f64 (neg.f64 t) t))
z
(*.f64 (neg.f64 t) t)
(neg.f64 t)
t
(neg.f64 z)
#s(approx (/ (+ (* (* x (/ x y)) (pow (/ z t) -2)) y) (* y (pow (/ z t) -2))) (*.f64 (/.f64 (/.f64 z t) t) z))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/.f64 (/.f64 z t) t)
(/.f64 z t)
z
t
(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 z z) (*.f64 t t)))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x y)
x
y
(/.f64 (.f64 z z) (.f64 t t))
(*.f64 z z)
z
(*.f64 t t)
t
(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

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

localize383.0ms (3.8%)

Memory

14.4MiB live, 215.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x y)
accuracy	0.08822250976844201	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y))
accuracy	0.1484375	(*.f64 (/.f64 x y) x)
accuracy	4.533920959426137	(/.f64 (*.f64 (/.f64 x y) x) y)
accuracy	0	(*.f64 z z)
accuracy	0	(*.f64 t t)
accuracy	0.201503759768442	(*.f64 (/.f64 x y) (/.f64 x y))
accuracy	15.369082488726685	(/.f64 (.f64 z z) (.f64 t t))
accuracy	0	(/.f64 z t)
accuracy	0.11328125	(/.f64 (/.f64 z t) t)
accuracy	4.527108423416424	(*.f64 (/.f64 (/.f64 z t) t) z)
accuracy	27.96946640208731	#s(approx (/ (+ (* (* x (/ x y)) (pow (/ z t) -2)) y) (* y (pow (/ z t) -2))) (*.f64 (/.f64 (/.f64 z t) t) z))
accuracy	0	(neg.f64 t)
accuracy	4.527108423416424	(.f64 (/.f64 z (.f64 (neg.f64 t) t)) (neg.f64 z))
accuracy	6.950774811065006	(/.f64 z (*.f64 (neg.f64 t) t))
accuracy	27.96946640208731	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z (.f64 (neg.f64 t) t)) (neg.f64 z)))
accuracy	0	(/.f64 y x)
accuracy	0.08822250976844201	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y)))
accuracy	0.12109375	(*.f64 (/.f64 y x) y)
accuracy	5.142749563111442	(/.f64 x (*.f64 (/.f64 y x) y))

Samples

131.0ms

256×

valid

Compiler

Compiled 370 to 66 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

ival-mult: 48.0ms (42.9% of total)

ival-div: 39.0ms (34.8% of total)

ival-neg: 15.0ms (13.4% of total)

ival-add: 6.0ms (5.4% of total)

ival-pow: 3.0ms (2.7% of total)

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

exact: 0.0ms (0% of total)

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

series350.0ms (3.5%)

Memory

26.0MiB live, 100.4MiB allocated

Counts

22 → 600

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

Calls

12 calls:

Time	Variable		Point	Expression
158.0ms	z	@	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 (* (neg t) t)) (* (neg t) t) (neg t) (/ (+ (* (* x (/ x y)) (pow (/ z t) -2)) y) (* y (pow (/ z t) -2))) (* (/ (/ z t) t) z) (/ (/ z t) t) (+ (* (/ x y) (/ x y)) (/ (* z z) (* t t))) (* (/ x y) (/ x y)) (/ x y) (* z z) (+ (* (/ z t) (/ z t)) (/ (* (/ x y) x) y)) (/ (* (/ x y) x) y) (* (/ x y) x) (/ y x) (* (/ z (* (neg t) t)) (neg z)) (/ (* z z) (* t t)) (* t t))
146.0ms	x	@	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 (* (neg t) t)) (* (neg t) t) (neg t) (/ (+ (* (* x (/ x y)) (pow (/ z t) -2)) y) (* y (pow (/ z t) -2))) (* (/ (/ z t) t) z) (/ (/ z t) t) (+ (* (/ x y) (/ x y)) (/ (* z z) (* t t))) (* (/ x y) (/ x y)) (/ x y) (* z z) (+ (* (/ z t) (/ z t)) (/ (* (/ x y) x) y)) (/ (* (/ x y) x) y) (* (/ x y) x) (/ y x) (* (/ z (* (neg t) t)) (neg z)) (/ (* z z) (* t t)) (* t t))
9.0ms	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 (* (neg t) t)) (* (neg t) t) (neg t) (/ (+ (* (* x (/ x y)) (pow (/ z t) -2)) y) (* y (pow (/ z t) -2))) (* (/ (/ z t) t) z) (/ (/ z t) t) (+ (* (/ x y) (/ x y)) (/ (* z z) (* t t))) (* (/ x y) (/ x y)) (/ x y) (* z z) (+ (* (/ z t) (/ z t)) (/ (* (/ x y) x) y)) (/ (* (/ x y) x) y) (* (/ x y) x) (/ y x) (* (/ z (* (neg t) t)) (neg z)) (/ (* z z) (* t t)) (* t t))
3.0ms	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 (* (neg t) t)) (* (neg t) t) (neg t) (/ (+ (* (* x (/ x y)) (pow (/ z t) -2)) y) (* y (pow (/ z t) -2))) (* (/ (/ z t) t) z) (/ (/ z t) t) (+ (* (/ x y) (/ x y)) (/ (* z z) (* t t))) (* (/ x y) (/ x y)) (/ x y) (* z z) (+ (* (/ z t) (/ z t)) (/ (* (/ x y) x) y)) (/ (* (/ x y) x) y) (* (/ x y) x) (/ y x) (* (/ z (* (neg t) t)) (neg z)) (/ (* z z) (* t t)) (* t t))
3.0ms	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 (* (neg t) t)) (* (neg t) t) (neg t) (/ (+ (* (* x (/ x y)) (pow (/ z t) -2)) y) (* y (pow (/ z t) -2))) (* (/ (/ z t) t) z) (/ (/ z t) t) (+ (* (/ x y) (/ x y)) (/ (* z z) (* t t))) (* (/ x y) (/ x y)) (/ x y) (* z z) (+ (* (/ z t) (/ z t)) (/ (* (/ x y) x) y)) (/ (* (/ x y) x) y) (* (/ x y) x) (/ y x) (* (/ z (* (neg t) t)) (neg z)) (/ (* z z) (* t t)) (* t t))

simplify320.0ms (3.2%)

Memory

-25.5MiB live, 173.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	5112
1	78	5112
2	222	5112
3	880	5112
4	2936	5112
5	4080	5112
6	6560	5112
0	8084	4932

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 600

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

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))
(* -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)
(* -1 (pow t 2))
(*.f64 (neg.f64 t) t)
(* -1 (pow t 2))
(*.f64 (neg.f64 t) t)
(* -1 (pow t 2))
(*.f64 (neg.f64 t) t)
(* -1 (pow t 2))
(*.f64 (neg.f64 t) t)
(* -1 t)
(neg.f64 t)
(* -1 t)
(neg.f64 t)
(* -1 t)
(neg.f64 t)
(* -1 t)
(neg.f64 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)
(/ z (pow t 2))
(/.f64 (/.f64 z t) t)
(/ z (pow t 2))
(/.f64 (/.f64 z t) t)
(/ z (pow t 2))
(/.f64 (/.f64 z t) t)
(/ z (pow t 2))
(/.f64 (/.f64 z 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))
(/ (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 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)
(*.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 (/.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)))
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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)))
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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))
(+ (/ (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)) (/ (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))
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(/ (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))
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(/ (pow x 2) (pow y 2))
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(/ (pow x 2) (pow y 2))
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(*.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 y 2) x)
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(/ (pow y 2) x)
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(/ (pow y 2) x)
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(/ (pow y 2) x)
(/.f64 (*.f64 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) (+ (/ 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))
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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) (+ (/ 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))
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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) (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) (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)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ 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))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
(/ y x)
(/.f64 y x)
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(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)

rewrite229.0ms (2.3%)

Memory

15.0MiB live, 223.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	183
0	64	177
1	234	149
2	2758	147
0	8099	147

Stop Event

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

Counts

22 → 1 288

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

Outputs
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eval373.0ms (3.7%)

Memory: 2.3MiB live, 467.1MiB allocated
Compiler: Compiled 39 008 to 2 628 computations (93.3% saved)

prune65.0ms (0.7%)

Memory

-12.6MiB live, 182.2MiB allocated

Pruning

21 alts after pruning (12 fresh and 9 done)

	Pruned	Kept	Total
New	2 247	5	2 252
Fresh	4	7	11
Picked	1	4	5
Done	0	5	5
Total	2 252	21	2 273

Accuracy

100.0%

Counts

2 273 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.5%	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y))
✓	96.9%	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y)))
	53.7%	(/.f64 (fma.f64 (.f64 x (/.f64 x y)) (/.f64 t (.f64 (/.f64 z t) z)) y) (*.f64 y (pow.f64 (/.f64 z t) #s(literal -2 binary64))))
✓	81.3%	(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (.f64 z z) (.f64 t t)))
	78.4%	(+.f64 (/.f64 (.f64 (/.f64 x y) x) y) (/.f64 (.f64 z z) (*.f64 t t)))
	74.0%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (/.f64 z (/.f64 t z)) t))
✓	63.7%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
	71.3%	(+.f64 (/.f64 x (/.f64 (.f64 y y) x)) (/.f64 (.f64 z z) (*.f64 t t)))
	79.4%	(+.f64 (/.f64 x (.f64 (/.f64 y x) y)) (/.f64 (.f64 z z) (*.f64 t t)))
✓	81.3%	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 z z) (*.f64 t t)))
	56.2%	#s(approx (/ (+ (* (* x (/ x y)) (pow (/ z t) -2)) y) (* y (pow (/ z t) -2))) (/.f64 (/.f64 z t) (/.f64 t z)))
	53.7%	#s(approx (/ (+ (* (* x (/ x y)) (pow (/ z t) -2)) y) (* y (pow (/ z t) -2))) (/.f64 (*.f64 (/.f64 z t) z) t))
	51.7%	#s(approx (/ (+ (* (* x (/ x y)) (pow (/ z t) -2)) y) (* y (pow (/ z t) -2))) (/.f64 (neg.f64 z) (/.f64 (*.f64 (neg.f64 t) t) z)))
	53.9%	#s(approx (/ (+ (* (* x (/ x y)) (pow (/ z t) -2)) y) (* y (pow (/ z t) -2))) (/.f64 z (*.f64 (/.f64 t z) t)))
✓	55.3%	#s(approx (/ (+ (* (* x (/ x y)) (pow (/ z t) -2)) y) (* y (pow (/ z t) -2))) (*.f64 (/.f64 (/.f64 z t) t) z))
	61.5%	#s(approx (/ (+ (* (* x (/ x y)) (pow (/ z t) -2)) y) (* y (pow (/ z t) -2))) (*.f64 (/.f64 (/.f64 x y) y) x))
	51.6%	#s(approx (/ (+ (* (* x (/ x y)) (pow (/ z t) -2)) y) (* y (pow (/ z t) -2))) (.f64 (/.f64 z (.f64 t t)) z))
✓	66.9%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (fma.f64 (.f64 (/.f64 t y) x) (.f64 (/.f64 t y) x) (.f64 z z)) (.f64 t t)))
✓	47.3%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z z) (.f64 t t)))
	56.2%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t z) (/.f64 z t))))
✓	56.2%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))

Compiler

Compiled 909 to 363 computations (60.1% saved)

regimes147.0ms (1.5%)

Memory

11.0MiB live, 319.6MiB allocated

Counts

43 → 1

Calls

Call 1

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

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

Calls

11 calls:

17.0ms	(*.f64 y y)
16.0ms	y
14.0ms	(/.f64 (.f64 z z) (.f64 t t))
14.0ms	(*.f64 z z)
14.0ms	t

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`z`
99.7%	1	`t`
99.7%	1	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
99.7%	1	`(/.f64 (.f64 x x) (.f64 y y))`
99.7%	1	`(*.f64 x x)`
99.7%	1	`(*.f64 y y)`
99.7%	1	`(/.f64 (.f64 z z) (.f64 t t))`
99.7%	1	`(*.f64 z z)`
99.7%	1	`(*.f64 t t)`

Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes129.0ms (1.3%)

Memory

-2.3MiB live, 259.5MiB allocated

Counts

35 → 2

Calls

Call 1

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

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

Calls

11 calls:

23.0ms	(*.f64 x x)
12.0ms	(*.f64 y y)
12.0ms	x
12.0ms	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
11.0ms	z

Results

Accuracy	Segments	Branch
99.0%	2	`x`
99.7%	2	`y`
96.9%	1	`z`
96.9%	1	`t`
96.9%	1	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
96.9%	1	`(/.f64 (.f64 x x) (.f64 y y))`
99.0%	2	`(*.f64 x x)`
99.3%	2	`(*.f64 y y)`
96.9%	1	`(/.f64 (.f64 z z) (.f64 t t))`
96.9%	1	`(*.f64 z z)`
96.9%	1	`(*.f64 t t)`

Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes109.0ms (1.1%)

Memory

8.7MiB live, 129.6MiB allocated

Counts

25 → 1

Calls

Call 1

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

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

Calls

9 calls:

46.0ms	(/.f64 (.f64 x x) (.f64 y y))
11.0ms	x
10.0ms	y
8.0ms	z
7.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
96.9%	1	`z`
96.9%	1	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
96.9%	1	`(/.f64 (.f64 x x) (.f64 y y))`
96.9%	1	`(/.f64 (.f64 z z) (.f64 t t))`
96.9%	1	`(*.f64 z z)`
96.9%	1	`x`
96.9%	1	`(*.f64 x x)`
96.9%	1	`(*.f64 y y)`
96.9%	1	`y`

Compiler

Compiled 41 to 52 computations (-26.8% saved)

regimes79.0ms (0.8%)

Memory

9.4MiB live, 129.3MiB allocated

Counts

24 → 3

Calls

Call 1

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

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

#s(approx (/ (+ (* (* x (/ x y)) (pow (/ z t) -2)) y) (* y (pow (/ z t) -2))) (*.f64 (/.f64 (/.f64 z t) t) z))

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

Calls

11 calls:

9.0ms	y
8.0ms	(/.f64 (.f64 x x) (.f64 y y))
7.0ms	x
7.0ms	t
7.0ms	z

Results

Accuracy	Segments	Branch
89.5%	4	`x`
88.7%	3	`t`
89.1%	4	`(*.f64 x x)`
88.7%	3	`(*.f64 t t)`
88.4%	4	`y`
86.9%	3	`z`
81.3%	1	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
90.9%	4	`(/.f64 (.f64 x x) (.f64 y y))`
85.5%	3	`(*.f64 y y)`
89.4%	3	`(/.f64 (.f64 z z) (.f64 t t))`
85.2%	2	`(*.f64 z z)`

Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes45.0ms (0.4%)

Memory

-15.4MiB live, 23.8MiB allocated

Counts

22 → 2

Calls

Call 1

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

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

Calls

2 calls:

38.0ms	(/.f64 (.f64 z z) (.f64 t t))
6.0ms	(/.f64 (.f64 x x) (.f64 y y))

Results

Accuracy	Segments	Branch
90.2%	4	`(/.f64 (.f64 x x) (.f64 y y))`
87.3%	2	`(/.f64 (.f64 z z) (.f64 t t))`

Compiler

Compiled 14 to 14 computations (0% saved)

regimes111.0ms (1.1%)

Memory

-12.7MiB live, 67.5MiB allocated

Counts

18 → 3

Calls

Call 1

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

Calls

11 calls:

32.0ms	(*.f64 t t)
31.0ms	y
6.0ms	z
6.0ms	t
6.0ms	x

Results

Accuracy	Segments	Branch
78.3%	3	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
80.1%	3	`(*.f64 y y)`
76.7%	3	`(*.f64 z z)`
80.1%	3	`y`
76.7%	3	`z`
79.6%	3	`(*.f64 x x)`
79.6%	3	`x`
84.2%	3	`(/.f64 (.f64 x x) (.f64 y y))`
80.8%	3	`t`
80.8%	3	`(*.f64 t t)`
83.2%	3	`(/.f64 (.f64 z z) (.f64 t t))`

Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes10.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB allocated

Counts

17 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

5.0ms	(/.f64 (.f64 x x) (.f64 y y))
4.0ms	(/.f64 (.f64 z z) (.f64 t t))

Results

Accuracy	Segments	Branch
81.5%	2	`(/.f64 (.f64 z z) (.f64 t t))`
81.7%	2	`(/.f64 (.f64 x x) (.f64 y y))`

Compiler

Compiled 14 to 14 computations (0% saved)

regimes5.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs
#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 (/.f64 x y) y) x))

Calls

1 calls:

4.0ms

(/.f64 (*.f64 x x) (*.f64 y y))

Results

Accuracy	Segments	Branch
81.6%	2	`(/.f64 (.f64 x x) (.f64 y y))`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes33.0ms (0.3%)

Memory

-31.7MiB live, 6.8MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs
#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))

Calls

1 calls:

4.0ms

(/.f64 (*.f64 x x) (*.f64 y y))

Results

Accuracy	Segments	Branch
81.6%	2	`(/.f64 (.f64 x x) (.f64 y y))`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes60.0ms (0.6%)

Memory

1.9MiB live, 41.7MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (/ (+ (* (* x (/ x y)) (pow (/ z t) -2)) y) (* y (pow (/ z t) -2))) (.f64 (/.f64 z (.f64 t t)) z))

Calls

11 calls:

39.0ms	z
2.0ms	x
2.0ms	y
2.0ms	t
2.0ms	(*.f64 t t)

Results

Accuracy	Segments	Branch
56.2%	1	`z`
56.2%	1	`(*.f64 z z)`
56.2%	1	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
58.7%	2	`x`
58.7%	2	`(*.f64 x x)`
56.2%	1	`(*.f64 y y)`
56.2%	1	`y`
56.2%	1	`t`
56.2%	1	`(*.f64 t t)`
56.2%	1	`(/.f64 (.f64 z z) (.f64 t t))`
59.4%	3	`(/.f64 (.f64 x x) (.f64 y y))`

Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes20.0ms (0.2%)

Memory

25.4MiB live, 25.4MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

#s(approx (/ (+ (* (* x (/ x y)) (pow (/ z t) -2)) y) (* y (pow (/ z t) -2))) (*.f64 (/.f64 z (*.f64 t t)) z))

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

Outputs
#s(approx (/ (+ (* (* x (/ x y)) (pow (/ z t) -2)) y) (* y (pow (/ z t) -2))) (.f64 (/.f64 z (.f64 t t)) z))

Calls

11 calls:

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

Results

Accuracy	Segments	Branch
51.6%	1	`z`
51.6%	1	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
51.6%	1	`(*.f64 z z)`
51.6%	1	`(/.f64 (.f64 z z) (.f64 t t))`
51.6%	1	`y`
51.6%	1	`(*.f64 y y)`
51.6%	1	`t`
51.6%	1	`(*.f64 t t)`
51.6%	1	`(/.f64 (.f64 x x) (.f64 y y))`
51.6%	1	`x`
51.6%	1	`(*.f64 x x)`

Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes52.0ms (0.5%)

Memory

-21.5MiB live, 18.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#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 z) (.f64 t t)))

Calls

11 calls:

39.0ms	(*.f64 z z)
1.0ms	z
1.0ms	t
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
47.3%	1	`(*.f64 y y)`
47.3%	1	`y`
47.3%	1	`z`
47.3%	1	`(*.f64 z z)`
47.3%	1	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
47.3%	1	`(/.f64 (.f64 x x) (.f64 y y))`
47.3%	1	`(/.f64 (.f64 z z) (.f64 t t))`
47.3%	1	`x`
47.3%	1	`t`
47.3%	1	`(*.f64 x x)`
47.3%	1	`(*.f64 t t)`

Compiler

Compiled 45 to 61 computations (-35.6% saved)

bsearch8.0ms (0.1%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
7.0ms	4.5220780683284845e-195	1.1566977911919258e-191

Samples

4.0ms

64×

valid

Compiler

Compiled 130 to 98 computations (24.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 1.0ms (37.7% of total)

ival-mult: 1.0ms (37.7% of total)

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

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

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

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	7.04817752054114e+305	+inf

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.04817752054114e+305	+inf

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.3531414569283576e+270	2.6314050426173767e+285
0.0ms	1.0254023543878794e-140	4.7774808302516246e-136

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2583698827690908e-115	3.3364123627220766e-95

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2583698827690908e-115	3.3364123627220766e-95

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2583698827690908e-115	3.3364123627220766e-95

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch14.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.252708313625473e+283	2.472548576828592e+287

Samples

8.0ms

128×

valid

Compiler

Compiled 146 to 154 computations (-5.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (43.4% of total)

ival-mult: 2.0ms (43.4% of total)

ival-add: 1.0ms (21.7% of total)

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

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

simplify115.0ms (1.2%)

Memory

-20.5MiB live, 27.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	548
1	99	548

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)))
(if (<=.f64 y #s(literal 6575169876935467/328758493846773344202561867680008041596896237676448366218642556441795759643567551382104158517349278201686435553511138607063714515636487741445488423165742553122201479445527787386978984867770169829455828233486336 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 (/.f64 x y) x) y)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (.f64 (/.f64 y x) y))))
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y)))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 1000000000000000017216064596736454828831087825013238982328892017892380671244575047987920451875459594568606138861698291060311049225532948520696938805711440650122628514669428460356992624968028329550689224175284346730060716088829214255439694630119794546505512415617982143262670862918816362862119154749127262208 binary64)) (+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 z z) (.f64 t t))) (if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal +inf.0 binary64)) #s(approx (/ (+ ( (* x (/ x y)) (pow (/ z t) -2)) y) (* y (pow (/ z t) -2))) (.f64 (/.f64 (/.f64 z t) t) z)) (+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 (/.f64 z t) z) t))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 1000000000000000017216064596736454828831087825013238982328892017892380671244575047987920451875459594568606138861698291060311049225532948520696938805711440650122628514669428460356992624968028329550689224175284346730060716088829214255439694630119794546505512415617982143262670862918816362862119154749127262208 binary64)) (+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 z z) (.f64 t t))) #s(approx (+ (/ ( x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 4290498537581631/214524926879081553593184399971293538039669853129478294043576983099548224481176751628829988770670454843040509730983776813660062124991145119142938384097345536 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t z) (/.f64 z t)))) (if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 2000000000000000093507637770912255978379210862660820573682729745488032878789111789220736516360606673878153776268089900578652336369324860662948626554833959632774778559729275871173995040476704622045320156587457342770385866522124606869505276053562755097483935769278566891520 binary64)) (+.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))) (*.f64 (/.f64 (/.f64 x y) y) x))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 554533938824163/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t z) (/.f64 z t)))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x)))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 554533938824163/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) #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 (/.f64 x y) y) x)))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 554533938824163/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 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 x y) y) x)))
(if (<=.f64 (.f64 x x) #s(literal 1200000000000000029020442618191056055465709915475077306044763456286132644775116604936296595095861740054868968042384529914582684400239540325771938550014824125925145141990455467486400504970611465617856804077308433938031572682434029264040960684987265334807103383129344945405217232094494720 binary64)) #s(approx (+ (/ ( x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z t) (/.f64 z t))) #s(approx (/ (+ ( (* x (/ x y)) (pow (/ z t) -2)) y) (* y (pow (/ z t) -2))) (.f64 (/.f64 z (.f64 t t)) z)))
#s(approx (/ (+ (* (* x (/ x y)) (pow (/ z t) -2)) y) (* y (pow (/ z t) -2))) (.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
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(if (<=.f64 y #s(literal 6575169876935467/328758493846773344202561867680008041596896237676448366218642556441795759643567551382104158517349278201686435553511138607063714515636487741445488423165742553122201479445527787386978984867770169829455828233486336 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 (/.f64 x y) x) y)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (.f64 (/.f64 y x) y))))
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y)))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 1000000000000000017216064596736454828831087825013238982328892017892380671244575047987920451875459594568606138861698291060311049225532948520696938805711440650122628514669428460356992624968028329550689224175284346730060716088829214255439694630119794546505512415617982143262670862918816362862119154749127262208 binary64)) (+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 z z) (.f64 t t))) (if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal +inf.0 binary64)) #s(approx (/ (+ ( (* x (/ x y)) (pow (/ z t) -2)) y) (* y (pow (/ z t) -2))) (.f64 (/.f64 (/.f64 z t) t) z)) (+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 (/.f64 z t) z) t))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 1000000000000000017216064596736454828831087825013238982328892017892380671244575047987920451875459594568606138861698291060311049225532948520696938805711440650122628514669428460356992624968028329550689224175284346730060716088829214255439694630119794546505512415617982143262670862918816362862119154749127262208 binary64)) (+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 z z) (.f64 t t))) (if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal +inf.0 binary64)) #s(approx (/ (+ ( (* x (/ x y)) (pow (/ z t) -2)) y) (* y (pow (/ z t) -2))) (.f64 (/.f64 (/.f64 z t) t) z)) (+.f64 (/.f64 (.f64 (/.f64 z t) z) t) (/.f64 (.f64 x x) (.f64 y y)))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 1000000000000000017216064596736454828831087825013238982328892017892380671244575047987920451875459594568606138861698291060311049225532948520696938805711440650122628514669428460356992624968028329550689224175284346730060716088829214255439694630119794546505512415617982143262670862918816362862119154749127262208 binary64)) (+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 z z) (.f64 t t))) #s(approx (+ (/ ( x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 4290498537581631/214524926879081553593184399971293538039669853129478294043576983099548224481176751628829988770670454843040509730983776813660062124991145119142938384097345536 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t z) (/.f64 z t)))) (if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 2000000000000000093507637770912255978379210862660820573682729745488032878789111789220736516360606673878153776268089900578652336369324860662948626554833959632774778559729275871173995040476704622045320156587457342770385866522124606869505276053562755097483935769278566891520 binary64)) (+.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))) (*.f64 (/.f64 (/.f64 x y) y) x))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 554533938824163/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t z) (/.f64 z t)))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x)))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 554533938824163/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) #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 (/.f64 x y) y) x)))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 554533938824163/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 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 x y) y) x)))
(if (<=.f64 (.f64 x x) #s(literal 1200000000000000029020442618191056055465709915475077306044763456286132644775116604936296595095861740054868968042384529914582684400239540325771938550014824125925145141990455467486400504970611465617856804077308433938031572682434029264040960684987265334807103383129344945405217232094494720 binary64)) #s(approx (+ (/ ( x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z t) (/.f64 z t))) #s(approx (/ (+ ( (* x (/ x y)) (pow (/ z t) -2)) y) (* y (pow (/ z t) -2))) (.f64 (/.f64 z (.f64 t t)) z)))
#s(approx (/ (+ (* (* x (/ x y)) (pow (/ z t) -2)) y) (* y (pow (/ z t) -2))) (.f64 (/.f64 z (.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z z) (.f64 t t)))

soundness1.8s (17.8%)

Memory

9.2MiB live, 722.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	182
0	57	151
1	230	135
2	3486	135
0	9331	135
0	11	41
0	18	41
1	69	33
2	813	33
0	8377	33
0	43	183
0	64	177
1	234	149
2	2758	147
0	8099	147
0	72	7038
1	182	7038
2	589	7038
3	3743	7038
4	6057	7038
0	8217	6750
0	37	216
0	59	186
1	229	186
2	2193	184
0	8529	181
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×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node 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

Compiler

Compiled 973 to 450 computations (53.8% saved)

preprocess77.0ms (0.8%)

Memory

4.2MiB live, 282.5MiB allocated

Remove

(abs x)

(abs y)

(abs z)

(abs t)

Compiler

Compiled 788 to 256 computations (67.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	36	222
0	57	208
1	101	206
2	195	206
3	309	206
4	334	206
5	338	206
6	346	206
7	360	206
8	368	206
0	368	206

Iter	Nodes	Cost
0	36	222
0	57	208
1	101	206
2	195	206
3	309	206
4	334	206
5	338	206
6	346	206
7	360	206
8	368	206
0	368	206

start0.0ms (0%)

analyze142.0ms (1.4%)

sample1.3s (12.8%)

explain137.0ms (1.4%)

preprocess264.0ms (2.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize43.0ms (0.4%)

series18.0ms (0.2%)

simplify153.0ms (1.5%)

rewrite235.0ms (2.4%)

eval83.0ms (0.8%)

prune27.0ms (0.3%)

simplify10.0ms (0.1%)

localize411.0ms (4.1%)

series82.0ms (0.8%)

simplify177.0ms (1.8%)

rewrite308.0ms (3.1%)

eval384.0ms (3.9%)

prune267.0ms (2.7%)

simplify12.0ms (0.1%)

localize211.0ms (2.1%)

series45.0ms (0.5%)

simplify167.0ms (1.7%)

rewrite271.0ms (2.7%)

eval419.0ms (4.2%)

prune131.0ms (1.3%)

simplify156.0ms (1.6%)

localize383.0ms (3.8%)

series350.0ms (3.5%)

simplify320.0ms (3.2%)

rewrite229.0ms (2.3%)

eval373.0ms (3.7%)

prune65.0ms (0.7%)

regimes147.0ms (1.5%)

regimes129.0ms (1.3%)

regimes109.0ms (1.1%)

regimes79.0ms (0.8%)

regimes45.0ms (0.4%)

regimes111.0ms (1.1%)

regimes10.0ms (0.1%)

regimes5.0ms (0.1%)

regimes33.0ms (0.3%)

regimes60.0ms (0.6%)

regimes20.0ms (0.2%)

regimes52.0ms (0.5%)

bsearch8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch14.0ms (0.1%)

simplify115.0ms (1.2%)

soundness1.8s (17.8%)

preprocess77.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	36	222
0	57	208
1	101	206
2	195	206
3	309	206
4	334	206
5	338	206
6	346	206
7	360	206
8	368	206
0	368	206