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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze240.0ms (2.5%)

Memory

15.4MiB live, 250.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.2s (13.1%)

Memory

-7.3MiB live, 1 532.6MiB allocated

Samples

927.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 649.0ms

ival-mult: 511.0ms (78.8% of total)

ival-div: 94.0ms (14.5% of total)

ival-add: 35.0ms (5.4% of total)

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

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

Bogosity

explain189.0ms (2%)

Memory

5.6MiB live, 227.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
84	-	1	(9.003310266573143e+119 1.7153014177422733e-135 -4.150843397969463e-160 1.4751000734519724e-145)	`(/.f64 (.f64 z z) (.f64 t t))`
64	-	0	-	`(/.f64 (.f64 x x) (.f64 y y))`
0	-	0	-	`t`
0	-	0	-	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`(*.f64 t t)`
0	-	0	-	`(*.f64 z z)`
0	-	0	-	`y`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	u/u	21	0
↳	`(*.f64 z z)`	underflow	70
↳	`(*.f64 t t)`	underflow	67
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	o/o	14	0
↳	`(*.f64 z z)`	overflow	64
↳	`(*.f64 t t)`	overflow	63
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	o/n	11	0
↳	`(*.f64 x x)`	overflow	62
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	u/u	10	0
↳	`(*.f64 x x)`	underflow	62
↳	`(*.f64 y y)`	underflow	70
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	o/o	10	0
↳	`(*.f64 x x)`	overflow	62
↳	`(*.f64 y y)`	overflow	56
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	n/u	10	0
↳	`(*.f64 y y)`	underflow	70
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	u/n	10	0
↳	`(*.f64 z z)`	underflow	70
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	n/u	9	0
↳	`(*.f64 t t)`	underflow	67
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	n/o	7	0
↳	`(*.f64 t t)`	overflow	63
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	n/o	7	0
↳	`(*.f64 y y)`	overflow	56
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	o/n	5	0
↳	`(*.f64 z z)`	overflow	64
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	u/n	3	0
↳	`(*.f64 x x)`	underflow	62

Confusion

	Predicted +	Predicted -
+	89	7
-	25	135

Precision

0.7807017543859649

Recall

0.9270833333333334

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	89	0	7
-	25	0	135

Precision?

0.7807017543859649

Recall?

0.9270833333333334

Freqs

test

number	freq
0	142
1	111
2	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

42.0ms

512×

valid

Compiler

Compiled 109 to 37 computations (66.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 13.0ms (61% of total)

ival-div: 6.0ms (28.1% of total)

ival-add: 2.0ms (9.4% of total)

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

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

preprocess267.0ms (2.8%)

Memory

-15.2MiB live, 68.4MiB allocated

Algorithm

1×	egg-herbie

Rules

1 238×	`unsub-neg`
1 000×	`distribute-lft-in`
984×	`distribute-rgt-in`
850×	`associate-/l*`
770×	`div-sub`

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)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.1%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify4.0ms (0%)

Memory

7.3MiB live, 7.4MiB 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)))

Rules

28×	`lower-*.f32`
24×	`lower-/.f32`
20×	`lower-*.f64`
20×	`lower-/.f64`
12×	`lower-fma.f64`

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

localize28.0ms (0.3%)

Memory

5.7MiB live, 44.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 t t)
accuracy	0.00390625	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
accuracy	14.908072675717253	(/.f64 (.f64 x x) (.f64 y y))
accuracy	19.798105074085502	(/.f64 (.f64 z z) (.f64 t t))

Samples

20.0ms

256×

valid

Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions

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

ival-mult: 6.0ms (59.2% of total)

ival-div: 3.0ms (29.6% of total)

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

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

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

series20.0ms (0.2%)

Memory

0.9MiB live, 40.0MiB allocated

Counts

7 → 144

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	z	@	0	((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* z z) (* t t)) (/ (* x x) (* y y)) (* t t))
2.0ms	y	@	0	((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* z z) (* t t)) (/ (* x x) (* y y)) (* t t))
1.0ms	t	@	inf	((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* z z) (* t t)) (/ (* x x) (* y y)) (* t t))
1.0ms	t	@	0	((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* z z) (* t t)) (/ (* x x) (* y y)) (* t t))
1.0ms	z	@	inf	((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* z z) (* t t)) (/ (* x x) (* y y)) (* t t))

simplify150.0ms (1.6%)

Memory

-4.1MiB live, 232.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 376×	`lower-fma.f64`
9 376×	`lower-fma.f32`
5 820×	`lower-*.f64`
5 820×	`lower-*.f32`
1 774×	`lower-/.f32`

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)

rewrite169.0ms (1.8%)

Memory

10.0MiB live, 319.8MiB allocated

Rules

9 024×	`lower-fma.f64`
9 024×	`lower-fma.f32`
6 696×	`lower-*.f32`
6 688×	`lower-*.f64`
4 106×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

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

Counts

7 → 418

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (/.f64 x y) (/.f64 z t))) (+.f64 (/.f64 x y) (/.f64 z t)))
(.f64 (.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (pow.f64 (.f64 t x) #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))) (pow.f64 t #s(literal -2 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))))
(.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.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 (neg.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (pow.f64 (.f64 t x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (.f64 t y) #s(literal 2 binary64)))))
(.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 z (/.f64 z t)) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 t (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))
(.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)))
(.f64 (fma.f64 (.f64 (.f64 z (/.f64 z t)) y) y (.f64 t (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 t (*.f64 y y))))
(.f64 (+.f64 y (.f64 (.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) x) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y)))
(.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (pow.f64 (.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))
(.f64 (fma.f64 (neg.f64 y) y (.f64 (.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) x) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y) (neg.f64 y))))
(.f64 (fma.f64 y y (.f64 (.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y) y)))
(.f64 (fma.f64 (neg.f64 z) (.f64 z y) (/.f64 (neg.f64 (pow.f64 (.f64 t x) #s(literal 2 binary64))) y)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 t) (*.f64 t y))))
(.f64 (fma.f64 (neg.f64 z) (.f64 z (pow.f64 (/.f64 x y) #s(literal -2 binary64))) (.f64 (neg.f64 t) t)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 t) (*.f64 t (pow.f64 (/.f64 x y) #s(literal -2 binary64))))))
(.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64))) (neg.f64 (neg.f64 (pow.f64 (.f64 t x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (.f64 t y) #s(literal 2 binary64))))))
(.f64 (fma.f64 (.f64 z z) y (/.f64 (pow.f64 (.f64 t x) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 t t) y)))
(.f64 (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)) (.f64 t t)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)))))
(.f64 (fma.f64 (.f64 x (/.f64 x y)) t (.f64 y (.f64 z (/.f64 z t)))) (/.f64 #s(literal 1 binary64) (*.f64 y t)))
(.f64 (fma.f64 (.f64 x (/.f64 x y)) (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 z t) #s(literal -2 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 x (/.f64 x y)) t) (neg.f64 t) (.f64 (.f64 y (neg.f64 z)) z)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 y (neg.f64 t)) t)))
(.f64 (fma.f64 (.f64 (.f64 x (/.f64 x y)) t) t (.f64 (.f64 y z) z)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 y t) t)))
(.f64 (+.f64 t (.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (/.f64 z t))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t)))
(.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal -2 binary64))) (pow.f64 (.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))
(.f64 (fma.f64 (neg.f64 t) t (.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (neg.f64 z))) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t) (neg.f64 t))))
(.f64 (fma.f64 t t (.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t) t)))
(.f64 (fma.f64 (neg.f64 x) (.f64 x t) (/.f64 (neg.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64))) t)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) (*.f64 y t))))
(.f64 (fma.f64 (neg.f64 x) (.f64 x (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (.f64 (neg.f64 y) y)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) (*.f64 y (pow.f64 (/.f64 z t) #s(literal -2 binary64))))))
(.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (.f64 t x) #s(literal 2 binary64))) (neg.f64 (neg.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (.f64 t y) #s(literal 2 binary64))))))
(.f64 (fma.f64 (.f64 x x) t (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) t)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) t)))
(.f64 (fma.f64 (pow.f64 (.f64 t x) #s(literal 2 binary64)) (pow.f64 z #s(literal -2 binary64)) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (pow.f64 z #s(literal -2 binary64)))))
(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(.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))))
(.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #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 6 binary64)) (pow.f64 (/.f64 x y) #s(literal 6 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)))
(.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (pow.f64 (.f64 t x) #s(literal 2 binary64))) (pow.f64 (.f64 y t) #s(literal -2 binary64)))
(.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) (pow.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) #s(literal 1 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 z t) #s(literal 6 binary64)) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) #s(literal 1 binary64)) (-.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 (+.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (pow.f64 (.f64 t x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (.f64 t y) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #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 (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 (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 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.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 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.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)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (fma.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 (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 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.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 (neg.f64 (.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (pow.f64 (.f64 t x) #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64)))) (.f64 (neg.f64 t) t))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (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 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))) (neg.f64 (neg.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 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (pow.f64 (.f64 t x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 z (/.f64 z t)) y (.f64 t (.f64 x (/.f64 x y))))) (neg.f64 (.f64 t y)))
(/.f64 (neg.f64 (fma.f64 (.f64 z (/.f64 z t)) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t)) (neg.f64 (.f64 t (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 z (/.f64 z t)) y) (neg.f64 y) (.f64 (.f64 t (neg.f64 x)) x))) (neg.f64 (.f64 (.f64 t (neg.f64 y)) y)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 z (/.f64 z t)) y) y (.f64 t (.f64 x x)))) (.f64 (.f64 t (neg.f64 y)) y))
(/.f64 (neg.f64 (+.f64 y (.f64 (.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) x) (/.f64 x y)))) (neg.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (pow.f64 (/.f64 z t) #s(literal -2 binary64)))) (neg.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 y) y (.f64 (.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) x) (neg.f64 x)))) (neg.f64 (.f64 (.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y) (neg.f64 y))))
(/.f64 (neg.f64 (fma.f64 y y (.f64 (.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) x) x))) (.f64 (.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y) (neg.f64 y)))
(/.f64 (neg.f64 (fma.f64 (neg.f64 z) (.f64 z y) (/.f64 (neg.f64 (pow.f64 (.f64 t x) #s(literal 2 binary64))) y))) (neg.f64 (.f64 (neg.f64 t) (.f64 t y))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 z) (.f64 z (pow.f64 (/.f64 x y) #s(literal -2 binary64))) (.f64 (neg.f64 t) t))) (neg.f64 (.f64 (neg.f64 t) (.f64 t (pow.f64 (/.f64 x y) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64))) (neg.f64 (neg.f64 (pow.f64 (.f64 t x) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 z z) y (/.f64 (pow.f64 (.f64 t x) #s(literal 2 binary64)) y))) (.f64 (neg.f64 t) (.f64 t y)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)) (.f64 t t))) (.f64 (neg.f64 t) (.f64 t (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (/.f64 x y)) t (.f64 y (.f64 z (/.f64 z t))))) (neg.f64 (.f64 y t)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (/.f64 x y)) (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y)) (neg.f64 (.f64 y (pow.f64 (/.f64 z t) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x (/.f64 x y)) t) (neg.f64 t) (.f64 (.f64 y (neg.f64 z)) z))) (neg.f64 (.f64 (.f64 y (neg.f64 t)) t)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x (/.f64 x y)) t) t (.f64 (.f64 y z) z))) (.f64 (.f64 y (neg.f64 t)) t))
(/.f64 (neg.f64 (+.f64 t (.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (/.f64 z t)))) (neg.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))) (neg.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (pow.f64 (/.f64 z t) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 t) t (.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (neg.f64 z)))) (neg.f64 (.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t) (neg.f64 t))))
(/.f64 (neg.f64 (fma.f64 t t (.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) z))) (.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t) (neg.f64 t)))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) (.f64 x t) (/.f64 (neg.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64))) t))) (neg.f64 (.f64 (neg.f64 y) (.f64 y t))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) (.f64 x (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (.f64 (neg.f64 y) y))) (neg.f64 (.f64 (neg.f64 y) (.f64 y (pow.f64 (/.f64 z t) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (.f64 t x) #s(literal 2 binary64))) (neg.f64 (neg.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) t (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) t))) (.f64 (neg.f64 y) (.f64 y t)))
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(*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 1 binary64)))
(.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 x (pow.f64 y #s(literal -2 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (/.f64 x y)))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 x (neg.f64 y)))
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (.f64 y y)))
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 (neg.f64 x) y))
(.f64 (.f64 (/.f64 x y) x) (pow.f64 y #s(literal -1 binary64)))
(.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 x (/.f64 x y)))
(.f64 (neg.f64 x) (.f64 x (neg.f64 (pow.f64 y #s(literal -2 binary64)))))
(.f64 (.f64 (neg.f64 x) (/.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(.f64 (.f64 x (pow.f64 y #s(literal -2 binary64))) (*.f64 x #s(literal 1 binary64)))
(.f64 (.f64 x (pow.f64 y #s(literal -2 binary64))) x)
(.f64 (.f64 x (/.f64 x y)) (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 x (/.f64 x y)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 y #s(literal -2 binary64)) (.f64 x x))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(.f64 (/.f64 x y) (.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) (/.f64 x y))
(.f64 (.f64 (neg.f64 x) x) (*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 x) x) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 x x) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 x x) (pow.f64 y #s(literal -2 binary64)))
(.f64 x (.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y)))
(.f64 x (.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)))
(.f64 x (.f64 (pow.f64 y #s(literal -2 binary64)) x))
(.f64 x (.f64 x (pow.f64 y #s(literal -2 binary64))))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 x y) x)) y)
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (/.f64 x y))) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x y) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 y x))
(/.f64 (.f64 x #s(literal 1 binary64)) (/.f64 (.f64 y y) x))
(/.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) (*.f64 (neg.f64 y) y))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) x)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x y) x) y)
(/.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64))))
(/.f64 (*.f64 x (/.f64 x y)) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 x (/.f64 x y)) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 x y) x)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))
(/.f64 (/.f64 x y) (/.f64 y x))
(/.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 y) y))
(/.f64 (.f64 x x) (.f64 y y))
(/.f64 x (/.f64 (*.f64 y y) x))
(neg.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y)) (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)))
(*.f64 (neg.f64 (neg.f64 t)) t)
(*.f64 (exp.f64 (log.f64 t)) (exp.f64 (log.f64 t)))
(*.f64 (neg.f64 t) (neg.f64 t))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 t) t))
(.f64 #s(literal 1 binary64) (.f64 t t))
(.f64 (.f64 t t) #s(literal 1 binary64))
(*.f64 t (neg.f64 (neg.f64 t)))
(*.f64 t t)
(pow.f64 (exp.f64 (log.f64 t)) #s(literal 2 binary64))
(pow.f64 (*.f64 t t) #s(literal 1 binary64))
(pow.f64 t #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 t) t) #s(literal -1 binary64))
(/.f64 (*.f64 t t) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 t) t))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 t) t))
(exp.f64 (*.f64 (log.f64 t) #s(literal 2 binary64)))

eval65.0ms (0.7%)

Memory: 16.5MiB live, 170.9MiB allocated
Compiler: Compiled 10 577 to 1 105 computations (89.6% saved)

prune85.0ms (0.9%)

Memory

3.6MiB live, 242.3MiB 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
▶	99.7%	(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
	89.0%	(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 z) (*.f64 t t)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
▶	89.0%	(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (*.f64 y y)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))
▶	68.5%	(/.f64 (fma.f64 (.f64 (.f64 x (/.f64 x y)) t) t (.f64 (.f64 y z) z)) (.f64 (.f64 y t) t))
	86.2%	(/.f64 (fma.f64 (.f64 z (/.f64 z t)) y (.f64 t (.f64 x (/.f64 x y)))) (.f64 t y))
	69.9%	(/.f64 (fma.f64 (neg.f64 x) (.f64 x t) (/.f64 (neg.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64))) t)) (.f64 (neg.f64 y) (.f64 y t)))
	22.0%	(/.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
	75.3%	(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (.f64 z z) (.f64 t t)))
	72.7%	(+.f64 (/.f64 (.f64 (/.f64 x y) x) y) (/.f64 (.f64 z z) (*.f64 t t)))
	82.8%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z)))
▶	81.4%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
✓	63.1%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
	73.6%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z)))
	80.1%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (.f64 z (.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 z t))))
	67.9%	(+.f64 (/.f64 x (/.f64 (.f64 y y) x)) (/.f64 (.f64 z z) (*.f64 t t)))
	75.3%	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 z z) (*.f64 t t)))
	72.6%	(+.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (.f64 z z) (.f64 t t)))
	64.1%	(.f64 (fma.f64 (.f64 (.f64 z (/.f64 z t)) y) y (.f64 t (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 t (*.f64 y y))))
	51.8%	(.f64 (fma.f64 y y (.f64 (.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y) y)))
	60.1%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 y y) t) z) (/.f64 z t) (.f64 x x)) (.f64 y y)))
	59.9%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x))
▶	58.7%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))

Compiler

Compiled 705 to 513 computations (27.2% saved)

simplify165.0ms (1.7%)

Memory

-22.1MiB live, 112.7MiB 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 y y)
cost-diff	0	(neg.f64 x)
cost-diff	576	(/.f64 x #s(literal -1 binary64))
cost-diff	0	(/.f64 x y)
cost-diff	0	(*.f64 x (/.f64 x y))
cost-diff	0	(.f64 (.f64 x (/.f64 x y)) t)
cost-diff	0	(fma.f64 (.f64 (.f64 x (/.f64 x y)) t) t (.f64 (.f64 y z) z))
cost-diff	0	(*.f64 (/.f64 z t) z)
cost-diff	0	(*.f64 y y)
cost-diff	0	(*.f64 x x)
cost-diff	0	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
cost-diff	-5440	(*.f64 (/.f64 z t) (/.f64 z t))
cost-diff	0	(/.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	-5568	(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
cost-diff	0	(/.f64 x y)
cost-diff	0	(pow.f64 (/.f64 x y) #s(literal 2 binary64))
cost-diff	0	(/.f64 z t)

Rules

2 104×	`lower-fma.f32`
2 098×	`lower-fma.f64`
1 694×	`lower-*.f32`
1 674×	`lower-*.f64`
1 642×	`div-sub`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	38	222
0	63	202
1	105	202
2	181	202
3	356	202
4	617	202
5	896	200
6	2222	200
7	3430	200
8	4184	200
9	5330	200
10	6857	200
11	7438	200
12	7461	200
13	7475	200
14	7699	200
15	7873	200
0	8002	200

Stop Event

1×	iter limit
1×	node limit
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
(/.f64 (fma.f64 (.f64 (.f64 x (/.f64 x y)) t) t (.f64 (.f64 y z) z)) (.f64 (.f64 y t) t))
(fma.f64 (.f64 (.f64 x (/.f64 x y)) t) t (.f64 (.f64 y z) z))
(.f64 (.f64 x (/.f64 x y)) t)
(*.f64 x (/.f64 x y))
x
(/.f64 x y)
y
t
(.f64 (.f64 y z) z)
(*.f64 y z)
z
(.f64 (.f64 y t) t)
(*.f64 y t)
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (*.f64 y y)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))
(/.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(/.f64 (neg.f64 x) (*.f64 y y))
(neg.f64 x)
(*.f64 y y)
y
(pow.f64 (/.f64 z t) #s(literal 2 binary64))
(/.f64 z t)
z
t
#s(literal 2 binary64)

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

localize284.0ms (3%)

Memory

5.8MiB live, 122.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 x)
accuracy	0.27476503907376804	(pow.f64 (/.f64 z t) #s(literal 2 binary64))
accuracy	2.2901989612320253	(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (*.f64 y y)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))
accuracy	6.20140576493794	(/.f64 (neg.f64 x) (*.f64 y y))
accuracy	0.125	(.f64 (.f64 y t) t)
accuracy	2.244906576892649	(fma.f64 (.f64 (.f64 x (/.f64 x y)) t) t (.f64 (.f64 y z) z))
accuracy	7.775125860403648	(.f64 (.f64 x (/.f64 x y)) t)
accuracy	18.64000868962274	(/.f64 (fma.f64 (.f64 (.f64 x (/.f64 x y)) t) t (.f64 (.f64 y z) z)) (.f64 (.f64 y t) t))
accuracy	0.00390625	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
accuracy	0.125	(*.f64 (/.f64 z t) z)
accuracy	3.4328556662731065	(/.f64 (*.f64 (/.f64 z t) z) t)
accuracy	14.908072675717253	(/.f64 (.f64 x x) (.f64 y y))
accuracy	0	(/.f64 z t)
accuracy	0.27476503907376804	(*.f64 (/.f64 z t) (/.f64 z t))
accuracy	26.276192454270472	#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	0.13119125976844204	(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
accuracy	0.1640625	(pow.f64 (/.f64 x y) #s(literal 2 binary64))

Samples

261.0ms

256×

valid

Compiler

Compiled 220 to 38 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 227.0ms

ival-div: 168.0ms (73.9% of total)

ival-mult: 48.0ms (21.1% of total)

ival-add: 5.0ms (2.2% of total)

ival-pow2: 5.0ms (2.2% of total)

ival-neg: 1.0ms (0.4% of total)

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

exact: 0.0ms (0% of total)

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

series65.0ms (0.7%)

Memory

5.3MiB live, 78.5MiB allocated

Counts

22 → 636

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	((/ z t) (pow (/ x y) 2) (/ x y) (+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (+ (/ (* 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) (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* x (/ x y)) t) (* x (/ x y)) (/ x -1) (neg x) (pow (/ z t) 2) (/ (* x x) (* y y)) (/ (* (/ z t) z) t) (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (* (* y t) t) (/ (neg x) (* y y)) (+ (* (/ x -1) (/ (neg x) (* y y))) (pow (/ z t) 2)))
6.0ms	y	@	inf	((/ z t) (pow (/ x y) 2) (/ x y) (+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (+ (/ (* 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) (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* x (/ x y)) t) (* x (/ x y)) (/ x -1) (neg x) (pow (/ z t) 2) (/ (* x x) (* y y)) (/ (* (/ z t) z) t) (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (* (* y t) t) (/ (neg x) (* y y)) (+ (* (/ x -1) (/ (neg x) (* y y))) (pow (/ z t) 2)))
4.0ms	t	@	inf	((/ z t) (pow (/ x y) 2) (/ x y) (+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (+ (/ (* 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) (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* x (/ x y)) t) (* x (/ x y)) (/ x -1) (neg x) (pow (/ z t) 2) (/ (* x x) (* y y)) (/ (* (/ z t) z) t) (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (* (* y t) t) (/ (neg x) (* y y)) (+ (* (/ x -1) (/ (neg x) (* y y))) (pow (/ z t) 2)))
4.0ms	y	@	-inf	((/ z t) (pow (/ x y) 2) (/ x y) (+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (+ (/ (* 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) (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* x (/ x y)) t) (* x (/ x y)) (/ x -1) (neg x) (pow (/ z t) 2) (/ (* x x) (* y y)) (/ (* (/ z t) z) t) (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (* (* y t) t) (/ (neg x) (* y y)) (+ (* (/ x -1) (/ (neg x) (* y y))) (pow (/ z t) 2)))
4.0ms	x	@	inf	((/ z t) (pow (/ x y) 2) (/ x y) (+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (+ (/ (* 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) (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* x (/ x y)) t) (* x (/ x y)) (/ x -1) (neg x) (pow (/ z t) 2) (/ (* x x) (* y y)) (/ (* (/ z t) z) t) (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (* (* y t) t) (/ (neg x) (* y y)) (+ (* (/ x -1) (/ (neg x) (* y y))) (pow (/ z t) 2)))

simplify145.0ms (1.5%)

Memory

-2.8MiB live, 146.9MiB allocated

Algorithm

1×	egg-herbie

Rules

5 438×	`lower-*.f64`
5 438×	`lower-*.f32`
4 534×	`lower-fma.f64`
4 534×	`lower-fma.f32`
3 676×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	5730
1	160	5730
2	536	5730
3	2323	5730
4	4793	5730
0	8246	5514

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 636

Calls

Call 1

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

rewrite327.0ms (3.4%)

Memory

22.4MiB live, 381.1MiB allocated

Rules

7 594×	`lower-fma.f32`
7 588×	`lower-fma.f64`
4 578×	`lower-/.f32`
4 564×	`lower-/.f64`
4 324×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	175
0	63	146
1	241	143
2	2579	143
0	8792	142

Stop Event

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

Counts

22 → 2 136

Calls

Call 1

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

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

eval474.0ms (5%)

Memory: 33.7MiB live, 803.6MiB allocated
Compiler: Compiled 60 329 to 3 173 computations (94.7% saved)

prune442.0ms (4.6%)

Memory

-39.2MiB live, 539.0MiB allocated

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	3 112	17	3 129
Fresh	13	3	16
Picked	4	1	5
Done	0	1	1
Total	3 129	22	3 151

Accuracy

100.0%

Counts

3 151 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (/.f64 x y) (/.f64 y x)))
	96.7%	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y))
	82.7%	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x x) (.f64 y y)))
	95.9%	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y)))
	96.7%	(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 (neg.f64 x) (/.f64 y x)) (/.f64 #s(literal -1 binary64) y)))
▶	99.7%	(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
	86.2%	(/.f64 (fma.f64 (.f64 (/.f64 z t) z) y (.f64 (.f64 (/.f64 x y) x) t)) (.f64 y t))
	75.1%	(/.f64 (/.f64 (fma.f64 (.f64 y z) z (/.f64 (pow.f64 (.f64 t x) #s(literal 2 binary64)) y)) t) (*.f64 y t))
▶	45.3%	(/.f64 #s(approx (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (.f64 (/.f64 (.f64 (.f64 x x) t) y) t)) (.f64 (*.f64 y t) t))
	75.3%	(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (.f64 z z) (.f64 t t)))
✓	63.1%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
	67.9%	(+.f64 (/.f64 x (/.f64 (.f64 y y) x)) (/.f64 (.f64 z z) (*.f64 t t)))
	75.3%	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 z z) (*.f64 t t)))
	57.7%	#s(approx (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (*.f64 (/.f64 (/.f64 z t) t) z))
	59.9%	#s(approx (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (*.f64 (/.f64 (/.f64 x y) y) x))
	58.8%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
	57.8%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
▶	46.6%	#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 (.f64 z #s(literal 1 binary64)) (.f64 t (/.f64 t z))))
✓	58.7%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
	58.8%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 t z))))
	57.7%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 #s(literal -1 binary64) t) (.f64 (neg.f64 z) (/.f64 z t))))

Compiler

Compiled 533 to 410 computations (23.1% saved)

simplify33.0ms (0.3%)

Memory

1.3MiB live, 38.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

894×	`times-frac`
590×	`lower-*.f32`
570×	`lower-*.f64`
346×	`lower-/.f32`
328×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	242
0	64	234
1	120	234
2	218	234
3	306	234
4	409	234
5	472	234
6	725	234
7	1023	234
8	1204	234
9	1249	234
10	1251	234
0	1251	232

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

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

localize170.0ms (1.8%)

Memory

16.2MiB live, 204.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 z t)
accuracy	0	(/.f64 x y)
accuracy	0.13119125976844204	(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
accuracy	0.1640625	(*.f64 (/.f64 x y) (/.f64 x y))
accuracy	5.762746991404532	(/.f64 (.f64 (.f64 x x) t) y)
accuracy	10.129250541970565	(.f64 (.f64 x x) t)
accuracy	18.64000868962274	(/.f64 #s(approx (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (.f64 (/.f64 (.f64 (.f64 x x) t) y) t)) (.f64 (*.f64 y t) t))
accuracy	26.430514990626005	#s(approx (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (.f64 (/.f64 (.f64 (*.f64 x x) t) y) t))
accuracy	0	(*.f64 z #s(literal 1 binary64))
accuracy	0.08984375	(*.f64 t (/.f64 t z))
accuracy	6.7515867087731145	(/.f64 (.f64 z #s(literal 1 binary64)) (.f64 t (/.f64 t z)))
accuracy	26.276192454270472	#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	19.798105074085502	(/.f64 (.f64 z z) (.f64 t t))
accuracy	26.276192454270472	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z z) (.f64 t t)))
accuracy	0	(/.f64 y x)
accuracy	0	(/.f64 x y)
accuracy	0.11328125	(/.f64 (/.f64 x y) (/.f64 y x))
accuracy	0.13119125976844204	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (/.f64 x y) (/.f64 y x)))

Samples

76.0ms

256×

valid

Compiler

Compiled 208 to 38 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 28.0ms (59% of total)

ival-div: 15.0ms (31.6% of total)

ival-add: 4.0ms (8.4% of total)

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

exact: 0.0ms (0% of total)

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

series139.0ms (1.5%)

Memory

-19.3MiB live, 103.0MiB allocated

Counts

20 → 612

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
39.0ms	z	@	0	((/ (/ x y) (/ y x)) (+ (* (/ z t) (/ z t)) (/ (/ x y) (/ y x))) (/ z t) (/ x y) (+ (/ (* 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)) t) t) (* (* y z) z)) (* (* y t) t)) (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (/ (* (* x x) t) y) t) (/ (* (* x x) t) y) (+ (* (/ z t) (/ z t)) (* (/ x y) (/ x y))) (* (/ x y) (/ x y)) (/ y x) (* (* x x) t))
28.0ms	x	@	inf	((/ (/ x y) (/ y x)) (+ (* (/ z t) (/ z t)) (/ (/ x y) (/ y x))) (/ z t) (/ x y) (+ (/ (* 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)) t) t) (* (* y z) z)) (* (* y t) t)) (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (/ (* (* x x) t) y) t) (/ (* (* x x) t) y) (+ (* (/ z t) (/ z t)) (* (/ x y) (/ x y))) (* (/ x y) (/ x y)) (/ y x) (* (* x x) t))
3.0ms	t	@	-inf	((/ (/ x y) (/ y x)) (+ (* (/ z t) (/ z t)) (/ (/ x y) (/ y x))) (/ z t) (/ x y) (+ (/ (* 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)) t) t) (* (* y z) z)) (* (* y t) t)) (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (/ (* (* x x) t) y) t) (/ (* (* x x) t) y) (+ (* (/ z t) (/ z t)) (* (/ x y) (/ x y))) (* (/ x y) (/ x y)) (/ y x) (* (* x x) t))
3.0ms	x	@	-inf	((/ (/ x y) (/ y x)) (+ (* (/ z t) (/ z t)) (/ (/ x y) (/ y x))) (/ z t) (/ x y) (+ (/ (* 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)) t) t) (* (* y z) z)) (* (* y t) t)) (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (/ (* (* x x) t) y) t) (/ (* (* x x) t) y) (+ (* (/ z t) (/ z t)) (* (/ x y) (/ x y))) (* (/ x y) (/ x y)) (/ y x) (* (* x x) t))
3.0ms	y	@	-inf	((/ (/ x y) (/ y x)) (+ (* (/ z t) (/ z t)) (/ (/ x y) (/ y x))) (/ z t) (/ x y) (+ (/ (* 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)) t) t) (* (* y z) z)) (* (* y t) t)) (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (/ (* (* x x) t) y) t) (/ (* (* x x) t) y) (+ (* (/ z t) (/ z t)) (* (/ x y) (/ x y))) (* (/ x y) (/ x y)) (/ y x) (* (* x x) t))

simplify153.0ms (1.6%)

Memory

17.4MiB live, 180.6MiB allocated

Algorithm

1×	egg-herbie

Rules

5 370×	`lower-*.f64`
5 370×	`lower-*.f32`
3 676×	`lower-/.f32`
3 676×	`lower-/.f64`
3 130×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	5658
1	151	5658
2	512	5658
3	2295	5658
4	4797	5658
0	8214	5442

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 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))
(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)
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow z 2) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(* y (pow z 2))
(+ (* y (pow z 2)) (/ (* (pow t 2) (pow x 2)) y))
(+ (* y (pow z 2)) (/ (* (pow t 2) (pow x 2)) y))
(+ (* y (pow z 2)) (/ (* (pow t 2) (pow x 2)) y))
(/ (* (pow t 2) (pow x 2)) y)
(/ (* (pow t 2) (pow x 2)) y)
(/ (* (pow t 2) (pow x 2)) y)
(/ (* (pow t 2) (pow x 2)) y)
(/ (* t (pow x 2)) y)
(/ (* t (pow x 2)) y)
(/ (* t (pow x 2)) y)
(/ (* t (pow x 2)) y)
(/ (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 (pow x 2))
(* t (pow x 2))
(* t (pow x 2))
(* t (pow x 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (* (pow t 2) (pow x 2)) y)
(* (pow t 2) (+ (/ (* y (pow z 2)) (pow t 2)) (/ (pow x 2) y)))
(* (pow t 2) (+ (/ (* y (pow z 2)) (pow t 2)) (/ (pow x 2) y)))
(* (pow t 2) (+ (/ (* y (pow z 2)) (pow t 2)) (/ (pow x 2) y)))
(/ (* (pow t 2) (pow x 2)) y)
(/ (* (pow t 2) (pow x 2)) y)
(/ (* (pow t 2) (pow x 2)) y)
(/ (* (pow t 2) (pow x 2)) y)
(/ (* t (pow x 2)) y)
(/ (* t (pow x 2)) y)
(/ (* t (pow x 2)) y)
(/ (* t (pow x 2)) y)
(/ (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 (pow x 2))
(* t (pow x 2))
(* t (pow x 2))
(* t (pow x 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (* (pow t 2) (pow x 2)) y)
(* (pow t 2) (+ (/ (* y (pow z 2)) (pow t 2)) (/ (pow x 2) y)))
(* (pow t 2) (+ (/ (* y (pow z 2)) (pow t 2)) (/ (pow x 2) y)))
(* (pow t 2) (+ (/ (* y (pow z 2)) (pow t 2)) (/ (pow x 2) y)))
(/ (* (pow t 2) (pow x 2)) y)
(/ (* (pow t 2) (pow x 2)) y)
(/ (* (pow t 2) (pow x 2)) y)
(/ (* (pow t 2) (pow x 2)) y)
(/ (* t (pow x 2)) y)
(/ (* t (pow x 2)) y)
(/ (* t (pow x 2)) y)
(/ (* t (pow x 2)) y)
(/ (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 (pow x 2))
(* t (pow x 2))
(* t (pow x 2))
(* t (pow x 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
z
z
z
z
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (* (pow t 2) (pow x 2)) y)
(+ (* y (pow z 2)) (/ (* (pow t 2) (pow x 2)) y))
(+ (* y (pow z 2)) (/ (* (pow t 2) (pow x 2)) y))
(+ (* y (pow z 2)) (/ (* (pow t 2) (pow x 2)) y))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
z
z
z
z
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* y (pow z 2))
(* (pow z 2) (+ y (/ (* (pow t 2) (pow x 2)) (* y (pow z 2)))))
(* (pow z 2) (+ y (/ (* (pow t 2) (pow x 2)) (* y (pow z 2)))))
(* (pow z 2) (+ y (/ (* (pow t 2) (pow x 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)))))
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
z
z
z
z
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* y (pow z 2))
(* (pow z 2) (+ y (/ (* (pow t 2) (pow x 2)) (* y (pow z 2)))))
(* (pow z 2) (+ y (/ (* (pow t 2) (pow x 2)) (* y (pow z 2)))))
(* (pow z 2) (+ y (/ (* (pow t 2) (pow x 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)))))
(/ (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) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (pow x 2) (pow y 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 t 2) (pow x 2)) y)
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(/ (pow x 2) (pow y 2))
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(/ (* (pow t 2) (pow x 2)) y)
(/ (* (pow t 2) (pow x 2)) y)
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(/ (* t (pow x 2)) y)
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(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
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(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
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(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
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(/ (pow x 2) (pow y 2))
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(/ x y)
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(/ (pow x 2) (pow y 2))
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(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
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(/ (* (pow t 2) (pow x 2)) y)
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(/ (pow x 2) (pow y 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))
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(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
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(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
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(/ z t)
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(/ z t)
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(/ z t)
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(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
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(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
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(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (fma.f64 (.f64 x (/.f64 t y)) (.f64 x (/.f64 t y)) (.f64 z z)) (.f64 t t))
(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) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
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(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
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(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
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(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
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(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
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(/ (pow x 2) (pow y 2))
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(/ z t)
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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 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 (/.f64 z t) t) z)
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(* y (pow z 2))
(.f64 y (.f64 z z))
(+ (* y (pow z 2)) (/ (* (pow t 2) (pow x 2)) y))
(fma.f64 (/.f64 (.f64 (.f64 x x) t) y) t (.f64 y (.f64 z z)))
(+ (* y (pow z 2)) (/ (* (pow t 2) (pow x 2)) y))
(fma.f64 (/.f64 (.f64 (.f64 x x) t) y) t (.f64 y (.f64 z z)))
(+ (* y (pow z 2)) (/ (* (pow t 2) (pow x 2)) y))
(fma.f64 (/.f64 (.f64 (.f64 x x) t) y) t (.f64 y (.f64 z z)))
(/ (* (pow t 2) (pow x 2)) y)
(.f64 (/.f64 (.f64 (*.f64 x x) t) y) t)
(/ (* (pow t 2) (pow x 2)) y)
(.f64 (/.f64 (.f64 (*.f64 x x) t) y) t)
(/ (* (pow t 2) (pow x 2)) y)
(.f64 (/.f64 (.f64 (*.f64 x x) t) y) t)
(/ (* (pow t 2) (pow x 2)) y)
(.f64 (/.f64 (.f64 (*.f64 x x) t) y) t)
(/ (* t (pow x 2)) y)
(/.f64 (.f64 (.f64 x x) t) y)
(/ (* t (pow x 2)) y)
(/.f64 (.f64 (.f64 x x) t) y)
(/ (* t (pow x 2)) y)
(/.f64 (.f64 (.f64 x x) t) y)
(/ (* t (pow x 2)) y)
(/.f64 (.f64 (.f64 x x) t) y)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(/ (pow 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)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(* t (pow x 2))
(.f64 (.f64 x x) t)
(* t (pow x 2))
(.f64 (.f64 x x) t)
(* t (pow x 2))
(.f64 (.f64 x x) t)
(* t (pow x 2))
(.f64 (.f64 x x) t)
(/ (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 (/.f64 z t) t) z))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ (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 t 2) (pow x 2)) y)
(.f64 (/.f64 (.f64 (*.f64 x x) t) y) t)
(* (pow x 2) (+ (/ (* y (pow z 2)) (pow x 2)) (/ (pow t 2) y)))
(fma.f64 (/.f64 (.f64 (.f64 x x) t) y) t (.f64 y (.f64 z z)))
(* (pow x 2) (+ (/ (* y (pow z 2)) (pow x 2)) (/ (pow t 2) y)))
(fma.f64 (/.f64 (.f64 (.f64 x x) t) y) t (.f64 y (.f64 z z)))
(* (pow x 2) (+ (/ (* y (pow z 2)) (pow x 2)) (/ (pow t 2) y)))
(fma.f64 (/.f64 (.f64 (.f64 x x) t) y) t (.f64 y (.f64 z z)))
(/ (* (pow t 2) (pow x 2)) y)
(.f64 (/.f64 (.f64 (*.f64 x x) t) y) t)
(/ (* (pow t 2) (pow x 2)) y)
(.f64 (/.f64 (.f64 (*.f64 x x) t) y) t)
(/ (* (pow t 2) (pow x 2)) y)
(.f64 (/.f64 (.f64 (*.f64 x x) t) y) t)
(/ (* (pow t 2) (pow x 2)) y)
(.f64 (/.f64 (.f64 (*.f64 x x) t) y) t)
(/ (* t (pow x 2)) y)
(/.f64 (.f64 (.f64 x x) t) y)
(/ (* t (pow x 2)) y)
(/.f64 (.f64 (.f64 x x) t) y)
(/ (* t (pow x 2)) y)
(/.f64 (.f64 (.f64 x x) t) y)
(/ (* t (pow x 2)) y)
(/.f64 (.f64 (.f64 x x) t) y)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(/ (pow x 2) (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)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(* t (pow x 2))
(.f64 (.f64 x x) t)
(* t (pow x 2))
(.f64 (.f64 x x) t)
(* t (pow x 2))
(.f64 (.f64 x x) t)
(* t (pow x 2))
(.f64 (.f64 x x) t)
(/ (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 (/.f64 z t) t) z))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ (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 t 2) (pow x 2)) y)
(.f64 (/.f64 (.f64 (*.f64 x x) t) y) t)
(* (pow x 2) (+ (/ (* y (pow z 2)) (pow x 2)) (/ (pow t 2) y)))
(fma.f64 (/.f64 (.f64 (.f64 x x) t) y) t (.f64 y (.f64 z z)))
(* (pow x 2) (+ (/ (* y (pow z 2)) (pow x 2)) (/ (pow t 2) y)))
(fma.f64 (/.f64 (.f64 (.f64 x x) t) y) t (.f64 y (.f64 z z)))
(* (pow x 2) (+ (/ (* y (pow z 2)) (pow x 2)) (/ (pow t 2) y)))
(fma.f64 (/.f64 (.f64 (.f64 x x) t) y) t (.f64 y (.f64 z z)))
(/ (* (pow t 2) (pow x 2)) y)
(.f64 (/.f64 (.f64 (*.f64 x x) t) y) t)
(/ (* (pow t 2) (pow x 2)) y)
(.f64 (/.f64 (.f64 (*.f64 x x) t) y) t)
(/ (* (pow t 2) (pow x 2)) y)
(.f64 (/.f64 (.f64 (*.f64 x x) t) y) t)
(/ (* (pow t 2) (pow x 2)) y)
(.f64 (/.f64 (.f64 (*.f64 x x) t) y) t)
(/ (* t (pow x 2)) y)
(/.f64 (.f64 (.f64 x x) t) y)
(/ (* t (pow x 2)) y)
(/.f64 (.f64 (.f64 x x) t) y)
(/ (* t (pow x 2)) y)
(/.f64 (.f64 (.f64 x x) t) y)
(/ (* t (pow x 2)) y)
(/.f64 (.f64 (.f64 x x) t) y)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(/ (pow x 2) (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)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(* t (pow x 2))
(.f64 (.f64 x x) t)
(* t (pow x 2))
(.f64 (.f64 x x) t)
(* t (pow x 2))
(.f64 (.f64 x x) t)
(* t (pow x 2))
(.f64 (.f64 x x) t)

rewrite209.0ms (2.2%)

Memory

-7.8MiB live, 309.0MiB allocated

Rules

4 866×	`lower-/.f32`
4 848×	`lower-/.f64`
4 756×	`lower-fma.f32`
4 754×	`lower-fma.f64`
3 952×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	206
0	64	174
1	230	164
2	3235	164
0	9138	162

Stop Event

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

Counts

20 → 1 063

Calls

Call 1

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

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

eval638.0ms (6.7%)

Memory: 20.6MiB live, 448.2MiB allocated
Compiler: Compiled 33 998 to 2 276 computations (93.3% saved)

prune345.0ms (3.6%)

Memory

-12.3MiB live, 309.2MiB allocated

Pruning

23 alts after pruning (17 fresh and 6 done)

	Pruned	Kept	Total
New	1 930	4	1 934
Fresh	2	13	15
Picked	1	4	5
Done	0	2	2
Total	1 933	23	1 956

Accuracy

100.0%

Counts

1 956 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (/.f64 x y) (/.f64 y x)))
	82.7%	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x x) (.f64 y y)))
▶	95.9%	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y)))
▶	96.7%	(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 (neg.f64 x) (/.f64 y x)) (/.f64 #s(literal -1 binary64) y)))
✓	99.7%	(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
	76.4%	(/.f64 (fma.f64 (.f64 (/.f64 z t) z) (/.f64 y x) (.f64 t (/.f64 x y))) (*.f64 t (/.f64 y x)))
	86.2%	(/.f64 (fma.f64 (.f64 (/.f64 z t) z) y (.f64 (.f64 (/.f64 x y) x) t)) (.f64 y t))
✓	45.3%	(/.f64 #s(approx (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (.f64 (/.f64 (.f64 (.f64 x x) t) y) t)) (.f64 (*.f64 y t) t))
▶	29.6%	(/.f64 #s(approx (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (.f64 (/.f64 x y) (.f64 x (.f64 t t)))) (.f64 (*.f64 y t) t))
	46.9%	(/.f64 #s(approx (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (.f64 (.f64 (.f64 t (/.f64 x y)) x) t)) (.f64 (*.f64 y t) t))
	75.3%	(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (.f64 z z) (.f64 t t)))
✓	63.1%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
	67.9%	(+.f64 (/.f64 x (/.f64 (.f64 y y) x)) (/.f64 (.f64 z z) (*.f64 t t)))
	75.3%	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 z z) (*.f64 t t)))
	57.7%	#s(approx (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (*.f64 (/.f64 (/.f64 z t) t) z))
	59.9%	#s(approx (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (*.f64 (/.f64 (/.f64 x y) y) x))
▶	58.8%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
	57.8%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
✓	46.6%	#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 z (*.f64 (/.f64 t z) t)))
✓	58.7%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
	58.8%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 t z))))
	57.7%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 #s(literal -1 binary64) t) (.f64 (neg.f64 z) (/.f64 z t))))

Compiler

Compiled 517 to 397 computations (23.2% saved)

simplify225.0ms (2.4%)

Memory

13.0MiB live, 87.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

2 360×	`lower-fma.f32`
2 358×	`lower-fma.f64`
2 270×	`unsub-neg`
2 086×	`lower-*.f32`
2 070×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	250
0	65	256
1	126	250
2	216	250
3	381	242
4	642	242
5	1828	242
6	3892	242
7	5272	242
8	5818	242
9	6027	242
10	6134	242
11	6167	242
12	6674	242
13	6976	242
14	7094	242
15	7094	242
16	7094	242
17	7386	242
18	7626	242
19	7872	242
20	7959	242
0	8010	240

Stop Event

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

Calls

Call 1

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

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

localize202.0ms (2.1%)

Memory

-47.5MiB live, 113.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y x)
accuracy	0.13119125976844204	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y)))
accuracy	0.1328125	(*.f64 (/.f64 y x) y)
accuracy	4.456613892166039	(/.f64 x (*.f64 (/.f64 y x) y))
accuracy	7.708594297572746	(.f64 x (.f64 t t))
accuracy	9.195584687721892	(.f64 (/.f64 x y) (.f64 x (*.f64 t t)))
accuracy	18.64000868962274	(/.f64 #s(approx (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (.f64 (/.f64 x y) (.f64 x (.f64 t t)))) (.f64 (*.f64 y t) t))
accuracy	26.430514990626005	#s(approx (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (.f64 (/.f64 x y) (.f64 x (*.f64 t t))))
accuracy	0	(/.f64 z t)
accuracy	0	(/.f64 t z)
accuracy	0.1875	(/.f64 (/.f64 z t) (/.f64 t z))
accuracy	26.276192454270472	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
accuracy	0	(/.f64 t z)
accuracy	0.08984375	(*.f64 (/.f64 t z) t)
accuracy	6.7515867087731145	(/.f64 z (*.f64 (/.f64 t z) t))
accuracy	26.276192454270472	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
accuracy	0	(neg.f64 x)
accuracy	0.12109375	(/.f64 (neg.f64 x) (/.f64 y x))
accuracy	0.13119125976844204	(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 (neg.f64 x) (/.f64 y x)) (/.f64 #s(literal -1 binary64) y)))
accuracy	4.450253610583715	(*.f64 (/.f64 (neg.f64 x) (/.f64 y x)) (/.f64 #s(literal -1 binary64) y))

Samples

95.0ms

256×

valid

Compiler

Compiled 218 to 41 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 41.0ms (64% of total)

ival-div: 18.0ms (28.1% of total)

ival-add: 4.0ms (6.2% of total)

ival-neg: 1.0ms (1.6% of total)

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

exact: 0.0ms (0% of total)

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

series104.0ms (1.1%)

Memory

23.1MiB live, 106.9MiB allocated

Counts

20 → 624

Calls

Call 1

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

Calls

12 calls:

Time	Variable		Point	Expression
47.0ms	y	@	inf	((* (/ (neg x) (/ y x)) (/ -1 y)) (/ (neg x) (/ y x)) (+ (* (/ z t) (/ z t)) (* (/ (neg x) (/ y x)) (/ -1 y))) (/ z t) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ z (* (/ t z) t)) (* (/ t z) t) (/ t z) (/ (/ z t) (/ t z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (/ x y) (* x (* t t))) (/ x y) (+ (* (/ z t) (/ z t)) (/ x (* (/ y x) y))) (/ x (* (/ y x) y)) (* (/ y x) y) (neg x) (* x (* t t)) (/ y x))
3.0ms	x	@	-inf	((* (/ (neg x) (/ y x)) (/ -1 y)) (/ (neg x) (/ y x)) (+ (* (/ z t) (/ z t)) (* (/ (neg x) (/ y x)) (/ -1 y))) (/ z t) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ z (* (/ t z) t)) (* (/ t z) t) (/ t z) (/ (/ z t) (/ t z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (/ x y) (* x (* t t))) (/ x y) (+ (* (/ z t) (/ z t)) (/ x (* (/ y x) y))) (/ x (* (/ y x) y)) (* (/ y x) y) (neg x) (* x (* t t)) (/ y x))
3.0ms	y	@	-inf	((* (/ (neg x) (/ y x)) (/ -1 y)) (/ (neg x) (/ y x)) (+ (* (/ z t) (/ z t)) (* (/ (neg x) (/ y x)) (/ -1 y))) (/ z t) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ z (* (/ t z) t)) (* (/ t z) t) (/ t z) (/ (/ z t) (/ t z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (/ x y) (* x (* t t))) (/ x y) (+ (* (/ z t) (/ z t)) (/ x (* (/ y x) y))) (/ x (* (/ y x) y)) (* (/ y x) y) (neg x) (* x (* t t)) (/ y x))
3.0ms	x	@	0	((* (/ (neg x) (/ y x)) (/ -1 y)) (/ (neg x) (/ y x)) (+ (* (/ z t) (/ z t)) (* (/ (neg x) (/ y x)) (/ -1 y))) (/ z t) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ z (* (/ t z) t)) (* (/ t z) t) (/ t z) (/ (/ z t) (/ t z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (/ x y) (* x (* t t))) (/ x y) (+ (* (/ z t) (/ z t)) (/ x (* (/ y x) y))) (/ x (* (/ y x) y)) (* (/ y x) y) (neg x) (* x (* t t)) (/ y x))
2.0ms	x	@	inf	((* (/ (neg x) (/ y x)) (/ -1 y)) (/ (neg x) (/ y x)) (+ (* (/ z t) (/ z t)) (* (/ (neg x) (/ y x)) (/ -1 y))) (/ z t) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ z (* (/ t z) t)) (* (/ t z) t) (/ t z) (/ (/ z t) (/ t z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (/ x y) (* x (* t t))) (/ x y) (+ (* (/ z t) (/ z t)) (/ x (* (/ y x) y))) (/ x (* (/ y x) y)) (* (/ y x) y) (neg x) (* x (* t t)) (/ y x))

simplify285.0ms (3%)

Memory

13.3MiB live, 193.3MiB allocated

Algorithm

1×	egg-herbie

Rules

5 374×	`lower-*.f64`
5 374×	`lower-*.f32`
4 996×	`lower-fma.f64`
4 996×	`lower-fma.f32`
3 634×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	5682
1	159	5682
2	529	5682
3	2321	5682
4	4819	5682
0	8309	5466

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 624

Calls

Call 1

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

rewrite244.0ms (2.6%)

Memory

3.3MiB live, 232.5MiB allocated

Rules

4 054×	`lower-/.f32`
4 034×	`lower-/.f64`
3 426×	`lower-*.f32`
3 410×	`lower-*.f64`
2 812×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	208
0	65	200
1	254	166
2	4234	166
0	8554	164

Stop Event

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

Counts

20 → 1 250

Calls

Call 1

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

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

eval337.0ms (3.5%)

Memory: 16.6MiB live, 571.7MiB allocated
Compiler: Compiled 39 036 to 2 748 computations (93% saved)

prune255.0ms (2.7%)

Memory

-39.4MiB live, 415.0MiB allocated

Pruning

23 alts after pruning (12 fresh and 11 done)

	Pruned	Kept	Total
New	2 196	2	2 198
Fresh	2	10	12
Picked	0	5	5
Done	0	6	6
Total	2 198	23	2 221

Accuracy

100.0%

Counts

2 221 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (/.f64 x y) (/.f64 y x)))
	82.7%	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x x) (.f64 y y)))
✓	95.9%	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y)))
✓	96.7%	(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 (neg.f64 x) (/.f64 y x)) (/.f64 #s(literal -1 binary64) y)))
✓	99.7%	(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
	81.1%	(/.f64 (fma.f64 (/.f64 (.f64 x x) y) t (.f64 y (.f64 (/.f64 z t) z))) (.f64 t y))
	76.4%	(/.f64 (fma.f64 (/.f64 x y) t (.f64 (/.f64 y x) (.f64 (/.f64 z t) z))) (*.f64 (/.f64 y x) t))
✓	45.3%	(/.f64 #s(approx (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (.f64 (/.f64 (.f64 (.f64 x x) t) y) t)) (.f64 (*.f64 y t) t))
✓	29.6%	(/.f64 #s(approx (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (.f64 (/.f64 x y) (.f64 x (.f64 t t)))) (.f64 (*.f64 y t) t))
	46.9%	(/.f64 #s(approx (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (.f64 (.f64 (.f64 t (/.f64 x y)) x) t)) (.f64 (*.f64 y t) t))
	75.3%	(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (.f64 z z) (.f64 t t)))
✓	63.1%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
	67.9%	(+.f64 (/.f64 x (/.f64 (.f64 y y) x)) (/.f64 (.f64 z z) (*.f64 t t)))
	75.3%	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 z z) (*.f64 t t)))
	57.7%	#s(approx (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (*.f64 (/.f64 (/.f64 z t) t) z))
	59.9%	#s(approx (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (*.f64 (/.f64 (/.f64 x y) y) x))
✓	58.8%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
	57.8%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
✓	46.6%	#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 z (*.f64 (/.f64 t z) t)))
✓	58.7%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
	58.8%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 t z))))
	57.7%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 #s(literal -1 binary64) t) (.f64 (neg.f64 z) (/.f64 z t))))

Compiler

Compiled 964 to 399 computations (58.6% saved)

regimes147.0ms (1.5%)

Memory

0.8MiB live, 276.1MiB allocated

Counts

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

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

Calls

11 calls:

14.0ms	z
14.0ms	(*.f64 x x)
13.0ms	(*.f64 y y)
13.0ms	(*.f64 t t)
13.0ms	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)

regimes109.0ms (1.1%)

Memory

1.0MiB live, 161.9MiB allocated

Counts

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

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

Calls

11 calls:

14.0ms	x
13.0ms	(/.f64 (.f64 x x) (.f64 y y))
10.0ms	(/.f64 (.f64 z z) (.f64 t t))
9.0ms	y
9.0ms	(*.f64 t t)

Results

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

Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes118.0ms (1.2%)

Memory

21.5MiB live, 102.2MiB allocated

Counts

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

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

Calls

11 calls:

36.0ms	t
28.0ms	y
7.0ms	z
6.0ms	x
6.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
85.9%	2	`x`
89.6%	3	`t`
82.7%	1	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
92.8%	3	`(/.f64 (.f64 z z) (.f64 t t))`
89.1%	3	`(*.f64 t t)`
91.2%	4	`y`
89.6%	3	`z`
92.4%	3	`(/.f64 (.f64 x x) (.f64 y y))`
85.9%	2	`(*.f64 x x)`
89.1%	3	`(*.f64 y y)`
89.6%	3	`(*.f64 z z)`

Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes12.0ms (0.1%)

Memory

-3.3MiB live, 32.9MiB 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 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)) t) t) (* (* y z) z)) (* (* y t) t)) (*.f64 (/.f64 (/.f64 x y) y) x))
#s(approx (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (*.f64 (/.f64 (/.f64 z 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 t) (/.f64 t z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 #s(literal -1 binary64) t) (.f64 (neg.f64 z) (/.f64 z t))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 t z))))
(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
(/.f64 #s(approx (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (.f64 (.f64 (.f64 t (/.f64 x y)) x) t)) (.f64 (*.f64 y t) t))
(/.f64 #s(approx (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (.f64 (/.f64 x y) (.f64 x (.f64 t t)))) (.f64 (*.f64 y t) t))
(/.f64 #s(approx (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (.f64 (/.f64 (.f64 (.f64 x x) t) y) t)) (.f64 (*.f64 y t) t))
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x x) (.f64 y y)))

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

Calls

2 calls:

6.0ms	(/.f64 (.f64 z z) (.f64 t t))
5.0ms	(/.f64 (.f64 x x) (.f64 y y))

Results

Accuracy	Segments	Branch
89.5%	2	`(/.f64 (.f64 x x) (.f64 y y))`
84.5%	2	`(/.f64 (.f64 z z) (.f64 t t))`

Compiler

Compiled 14 to 14 computations (0% saved)

regimes60.0ms (0.6%)

Memory

11.3MiB live, 130.0MiB allocated

Counts

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

Outputs

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

(+.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:

9.0ms	t
7.0ms	(*.f64 x x)
6.0ms	(*.f64 z z)
5.0ms	z
5.0ms	y

Results

Accuracy	Segments	Branch
79.8%	3	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
83.2%	4	`(/.f64 (.f64 z z) (.f64 t t))`
77.3%	3	`(*.f64 x x)`
77.3%	3	`x`
81.6%	3	`(*.f64 y y)`
79.4%	3	`(*.f64 t t)`
79.4%	3	`t`
81.6%	3	`y`
76.1%	3	`z`
76.1%	3	`(*.f64 z z)`
85.7%	3	`(/.f64 (.f64 x x) (.f64 y y))`

Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes6.0ms (0.1%)

Memory

-25.3MiB live, 11.8MiB allocated

Counts

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

3.0ms

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

Results

Accuracy	Segments	Branch
83.6%	2	`(/.f64 (.f64 x x) (.f64 y y))`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

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

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:

3.0ms

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

Results

Accuracy	Segments	Branch
83.6%	2	`(/.f64 (.f64 x x) (.f64 y y))`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes18.0ms (0.2%)

Memory

15.2MiB live, 54.0MiB allocated

Counts

2 → 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 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)))

Calls

11 calls:

3.0ms	(*.f64 t t)
2.0ms	z
2.0ms	y
2.0ms	t
2.0ms	x

Results

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

Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes17.0ms (0.2%)

Memory

-4.9MiB live, 41.9MiB 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:

4.0ms	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
1.0ms	y
1.0ms	t
1.0ms	z
1.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
46.6%	1	`(/.f64 (.f64 x x) (.f64 y y))`
46.6%	1	`x`
46.6%	1	`y`
46.6%	1	`z`
46.6%	1	`(*.f64 x x)`
46.6%	1	`(*.f64 z z)`
46.6%	1	`(*.f64 y y)`
46.6%	1	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
46.6%	1	`(/.f64 (.f64 z z) (.f64 t t))`
46.6%	1	`t`
46.6%	1	`(*.f64 t t)`

Compiler

Compiled 45 to 61 computations (-35.6% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	4.931078722263851e+130	9.827888119021476e+205

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1834740779707602e+244	7.189007911480292e+259

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.6722045799319236e+205	1.209338508269321e+208
0.0ms	2.669914261364222e-296	2.4374010129968076e-290

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.6722045799319236e+205	1.209338508269321e+208

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.6722045799319236e+205	1.209338508269321e+208

Compiler

Compiled 18 to 18 computations (0% saved)

simplify30.0ms (0.3%)

Memory

-25.3MiB live, 52.1MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`-commutative-binary64-.f64`
4×	`+-commutative-binary64-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	392
1	70	392

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (/.f64 x y) (/.f64 y x)))
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 49999999999999995601277750478615906956426432484762865091230684279338790788450641385479969549606017377053487170299935055586674081792 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)) t) t) (* (* y z) z)) (* (* y t) t)) (.f64 (/.f64 (/.f64 z t) t) z)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x x) (*.f64 y y)))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 20000000000000001493011512996633915492655906002392311863260688002402309142715984725842989066149986561489580626402598843829351856691486816526719290270131801323015772774982376708360740390544457738899624810389692931322934451179781692166707787857920 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x x) (.f64 y y))) #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 4602094425247529/92041888504950574475740425768398066361240421321846096523996201552759130012416493123946740389072658442813498306494153399121300361632981310716337884487410751681417161433531128461466736435838000189159978471467522953645133149359340995314643512596903545427635461470508184698852989920501614748075702440767602758254592 binary64)) #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 50000000000000001944678877554419421565368624647601006667151191003845647144692448381539982803938850693663230155970606645676585305704718780827009183610634470177217293131308471772283227903827973109661120331776 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 50000000000000001944678877554419421565368624647601006667151191003845647144692448381539982803938850693663230155970606645676585305704718780827009183610634470177217293131308471772283227903827973109661120331776 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 50000000000000001944678877554419421565368624647601006667151191003845647144692448381539982803938850693663230155970606645676585305704718780827009183610634470177217293131308471772283227903827973109661120331776 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)))
#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 z z) (.f64 t t)))

Outputs
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (/.f64 x y) (/.f64 y x)))
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 49999999999999995601277750478615906956426432484762865091230684279338790788450641385479969549606017377053487170299935055586674081792 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)) t) t) (* (* y z) z)) (* (* y t) t)) (.f64 (/.f64 (/.f64 z t) t) z)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x x) (*.f64 y y)))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 49999999999999995601277750478615906956426432484762865091230684279338790788450641385479969549606017377053487170299935055586674081792 binary64)) (+.f64 (/.f64 (.f64 z z) (.f64 t t)) (.f64 (/.f64 x y) (/.f64 x y))) (if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal +inf.0 binary64)) #s(approx (/ (+ ( (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (.f64 (/.f64 (/.f64 z t) t) z)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x x) (*.f64 y y)))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 20000000000000001493011512996633915492655906002392311863260688002402309142715984725842989066149986561489580626402598843829351856691486816526719290270131801323015772774982376708360740390544457738899624810389692931322934451179781692166707787857920 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x x) (.f64 y y))) #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 4602094425247529/92041888504950574475740425768398066361240421321846096523996201552759130012416493123946740389072658442813498306494153399121300361632981310716337884487410751681417161433531128461466736435838000189159978471467522953645133149359340995314643512596903545427635461470508184698852989920501614748075702440767602758254592 binary64)) #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 50000000000000001944678877554419421565368624647601006667151191003845647144692448381539982803938850693663230155970606645676585305704718780827009183610634470177217293131308471772283227903827973109661120331776 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 50000000000000001944678877554419421565368624647601006667151191003845647144692448381539982803938850693663230155970606645676585305704718780827009183610634470177217293131308471772283227903827973109661120331776 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 50000000000000001944678877554419421565368624647601006667151191003845647144692448381539982803938850693663230155970606645676585305704718780827009183610634470177217293131308471772283227903827973109661120331776 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)))
#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 z z) (.f64 t t)))

soundness1.1s (11.5%)

Memory

35.3MiB live, 698.5MiB allocated

Rules

9 376×	`lower-fma.f64`
9 376×	`lower-fma.f32`
9 024×	`lower-fma.f64`
9 024×	`lower-fma.f32`
7 594×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	1128
1	60	1128
2	192	1128
3	823	1128
4	2853	1128
5	3973	1128
6	6262	1128
7	7756	1128
0	8060	1092
0	11	41
0	18	41
1	69	33
2	813	33
0	8377	33
0	38	175
0	63	146
1	241	143
2	2579	143
0	8792	142
0	61	5730
1	160	5730
2	536	5730
3	2323	5730
4	4793	5730
0	8246	5514

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×	iter limit
1×	node limit

Compiler

Compiled 643 to 277 computations (56.9% saved)

preprocess209.0ms (2.2%)

Memory

-13.6MiB live, 241.1MiB allocated

Remove

(abs x)

(abs y)

(abs z)

(abs t)

Compiler

Compiled 636 to 212 computations (66.7% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

start0.0ms (0%)

analyze240.0ms (2.5%)

sample1.2s (13.1%)

explain189.0ms (2%)

preprocess267.0ms (2.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize28.0ms (0.3%)

series20.0ms (0.2%)

simplify150.0ms (1.6%)

rewrite169.0ms (1.8%)

eval65.0ms (0.7%)

prune85.0ms (0.9%)

simplify165.0ms (1.7%)

localize284.0ms (3%)

series65.0ms (0.7%)

simplify145.0ms (1.5%)

rewrite327.0ms (3.4%)

eval474.0ms (5%)

prune442.0ms (4.6%)

simplify33.0ms (0.3%)

localize170.0ms (1.8%)

series139.0ms (1.5%)

simplify153.0ms (1.6%)

rewrite209.0ms (2.2%)

eval638.0ms (6.7%)

prune345.0ms (3.6%)

simplify225.0ms (2.4%)

localize202.0ms (2.1%)

series104.0ms (1.1%)

simplify285.0ms (3%)

rewrite244.0ms (2.6%)

eval337.0ms (3.5%)

prune255.0ms (2.7%)

regimes147.0ms (1.5%)

regimes109.0ms (1.1%)

regimes118.0ms (1.2%)

regimes12.0ms (0.1%)

regimes60.0ms (0.6%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes18.0ms (0.2%)

regimes17.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify30.0ms (0.3%)

soundness1.1s (11.5%)

preprocess209.0ms (2.2%)

end0.0ms (0%)

Profiling