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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze356.0ms (3.8%)

Memory

-16.5MiB live, 224.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.3s (13.9%)

Memory

27.0MiB live, 1 325.4MiB allocated

Samples

789.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 500.0ms

ival-mult: 277.0ms (55.4% of total)

ival-add: 118.0ms (23.6% of total)

ival-div: 96.0ms (19.2% of total)

ival-true: 6.0ms (1.2% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain161.0ms (1.7%)

Memory

-16.9MiB live, 231.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
66	-	1	(-3.428516632096278e-230 9.873891943294019e+76 -5.37423146447692e-161 6.0465836476066655e-16)	`(/.f64 (.f64 z z) (.f64 t t))`
64	-	1	(1.9957856291071244e-71 -2.9308107291312387e-158 -1.562591665612114e-94 1.93064662773649e+98)	`(/.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 x x) (.f64 y y))`	o/o	16	0
↳	`(*.f64 x x)`	overflow	62
↳	`(*.f64 y y)`	overflow	69
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	n/u	15	0
↳	`(*.f64 t t)`	underflow	64
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	o/o	12	0
↳	`(*.f64 z z)`	overflow	68
↳	`(*.f64 t t)`	overflow	60
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	n/o	11	0
↳	`(*.f64 y y)`	overflow	69
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	u/u	10	0
↳	`(*.f64 x x)`	underflow	60
↳	`(*.f64 y y)`	underflow	48
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	u/n	9	0
↳	`(*.f64 z z)`	underflow	51
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	u/u	7	0
↳	`(*.f64 z z)`	underflow	51
↳	`(*.f64 t t)`	underflow	64
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	o/n	7	0
↳	`(*.f64 z z)`	overflow	68
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	u/n	7	0
↳	`(*.f64 x x)`	underflow	60
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	o/n	6	0
↳	`(*.f64 x x)`	overflow	62
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	n/o	4	0
↳	`(*.f64 t t)`	overflow	60
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	n/u	3	0
↳	`(*.f64 y y)`	underflow	48

Confusion

	Predicted +	Predicted -
+	78	5
-	23	150

Precision

0.7722772277227723

Recall

0.9397590361445783

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	78	0	5
-	23	0	150

Precision?

0.7722772277227723

Recall?

0.9397590361445783

Freqs

test

number	freq
0	155
1	95
2	6

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

64.0ms

512×

valid

Compiler

Compiled 109 to 37 computations (66.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 38.0ms (82.2% of total)

ival-div: 6.0ms (13% of total)

ival-add: 2.0ms (4.3% of total)

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

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

preprocess259.0ms (2.8%)

Memory

18.0MiB live, 54.6MiB 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	7

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)))
(hypot.f64 (/.f64 z t) (/.f64 x y))

Symmetry

(abs t)

(abs z)

(abs y)

(abs x)

Compiler

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.8%	(+.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

10.4MiB live, 10.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

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	37

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)))
(hypot.f64 (/.f64 z t) (/.f64 x y))
(/.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

localize50.0ms (0.5%)

Memory

-12.5MiB live, 100.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 t t)
accuracy	0.00390625	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
accuracy	14.753776486962408	(/.f64 (.f64 x x) (.f64 y y))
accuracy	15.509802656718486	(/.f64 (.f64 z z) (.f64 t t))

Samples

43.0ms

256×

valid

Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions

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

ival-mult: 6.0ms (56.9% of total)

ival-div: 3.0ms (28.5% of total)

ival-add: 1.0ms (9.5% of total)

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

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

series18.0ms (0.2%)

Memory

15.3MiB live, 53.7MiB allocated

Counts

7 → 144

Calls

Call 1

Inputs
#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 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 (.f64 x x) (.f64 y y)) (patch (/.f64 (.f64 x x) (.f64 y y)) #<representation:binary64>) () ())
#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>) () ())

Outputs
#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 (+.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 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 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 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 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 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 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) (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 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 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 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 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 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 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 -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 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 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 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>) () ())) ())
#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>) () ())) ())

Calls

12 calls:

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

simplify184.0ms (2%)

Memory

-5.9MiB live, 229.5MiB 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	840

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
(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 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 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 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 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 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 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 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 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)))))

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

rewrite287.0ms (3.1%)

Memory

-2.9MiB live, 378.2MiB 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: 0 (0.0ms)

Iter	Nodes	Cost
0	11	41
0	18	41
1	69	33
2	813	33
0	8373	29

Stop Event

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

Counts

7 → 442

Calls

Call 1

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

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

eval66.0ms (0.7%)

Memory: -2.6MiB live, 115.7MiB allocated
Compiler: Compiled 10 391 to 1 128 computations (89.1% saved)

prune29.0ms (0.3%)

Memory

-12.0MiB live, 62.6MiB allocated

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	567	19	586
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	567	20	587

Accuracy

100.0%

Counts

587 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
▶	90.3%	(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 z) (*.f64 t t)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
	90.0%	(fma.f64 (*.f64 (pow.f64 t #s(literal -2 binary64)) z) z (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
	97.1%	(fma.f64 z (*.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 z t)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
	69.0%	(/.f64 (fma.f64 (.f64 (.f64 z (/.f64 z t)) y) (neg.f64 y) (.f64 (.f64 t (neg.f64 x)) x)) (.f64 (.f64 t (neg.f64 y)) y))
	60.5%	(/.f64 (fma.f64 (.f64 (.f64 z (/.f64 z t)) y) y (.f64 t (.f64 x x))) (.f64 t (.f64 y y)))
▶	69.6%	(/.f64 (fma.f64 (.f64 (.f64 x (/.f64 x y)) t) t (.f64 (.f64 y z) z)) (.f64 (.f64 y t) t))
	80.8%	(/.f64 (fma.f64 (.f64 z (/.f64 z t)) y (.f64 t (.f64 x (/.f64 x y)))) (.f64 t y))
	68.0%	(/.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)))
	66.1%	(/.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 (pow.f64 (*.f64 t y) #s(literal 2 binary64)))))
	65.3%	(/.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)))
	82.6%	(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (.f64 z z) (.f64 t t)))
▶	80.4%	(+.f64 (/.f64 (.f64 (/.f64 x y) x) y) (/.f64 (.f64 z z) (*.f64 t t)))
	82.7%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z)))
	80.9%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
✓	68.8%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
	75.1%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z)))
	75.2%	(+.f64 (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (.f64 y y))) (/.f64 (.f64 z z) (.f64 t t)))
	52.3%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x))
▶	59.0%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))

Compiler

Compiled 629 to 475 computations (24.5% saved)

simplify161.0ms (1.7%)

Memory

16.0MiB live, 61.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 t t)
cost-diff	0	(neg.f64 z)
cost-diff	576	(/.f64 z #s(literal -1 binary64))
cost-diff	1344	(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 z) (*.f64 t t)) (pow.f64 (/.f64 x y) #s(literal 2 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 z z)
cost-diff	0	(/.f64 x y)
cost-diff	0	(*.f64 (/.f64 x y) x)
cost-diff	1216	(+.f64 (/.f64 (.f64 (/.f64 x y) x) y) (/.f64 (.f64 z z) (*.f64 t t)))
cost-diff	0	(/.f64 z t)
cost-diff	0	(*.f64 (/.f64 z t) (/.f64 z t))
cost-diff	0	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
cost-diff	0	(/.f64 x y)
cost-diff	0	(pow.f64 (/.f64 x y) #s(literal 2 binary64))
cost-diff	0	(/.f64 z t)
cost-diff	1088	(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))

Rules

2 448×	`lower-fma.f32`
2 442×	`lower-fma.f64`
1 890×	`lower-*.f32`
1 870×	`lower-*.f64`
1 322×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	222
0	61	212
1	106	212
2	182	212
3	357	212
4	618	212
5	892	210
6	2260	210
7	3309	210
8	4370	210
9	5659	210
10	6656	210
11	7051	210
12	7118	210
13	7128	210
14	7458	210
15	7690	210
16	7880	210
0	8002	190

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

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

localize138.0ms (1.5%)

Memory

-17.0MiB live, 147.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 z)
accuracy	0.234375	(pow.f64 (/.f64 x y) #s(literal 2 binary64))
accuracy	1.699129885348867	(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 z) (*.f64 t t)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
accuracy	6.43361914576303	(/.f64 (neg.f64 z) (*.f64 t t))
accuracy	0.16015625	(.f64 (.f64 y z) z)
accuracy	1.8390775954612484	(fma.f64 (.f64 (.f64 x (/.f64 x y)) t) t (.f64 (.f64 y z) z))
accuracy	4.8497770351150296	(.f64 (.f64 x (/.f64 x y)) t)
accuracy	17.36870804486909	(/.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 (/.f64 x y) x) y) (/.f64 (.f64 z z) (*.f64 t t)))
accuracy	0.10546875	(*.f64 (/.f64 x y) x)
accuracy	4.606366087622437	(/.f64 (*.f64 (/.f64 x y) x) y)
accuracy	15.509802656718486	(/.f64 (.f64 z z) (.f64 t t))
accuracy	0	(/.f64 z t)
accuracy	0.23503876953688405	(*.f64 (/.f64 z t) (/.f64 z t))
accuracy	26.126890136043155	#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	0.12337875976844202	(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
accuracy	0.234375	(pow.f64 (/.f64 x y) #s(literal 2 binary64))

Samples

77.0ms

256×

valid

Compiler

Compiled 220 to 37 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 25.0ms (47.5% of total)

ival-div: 19.0ms (36.1% of total)

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

ival-pow2: 3.0ms (5.7% of total)

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

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

exact: 0.0ms (0% of total)

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

series111.0ms (1.2%)

Memory

-3.2MiB live, 110.6MiB allocated

Counts

21 → 612

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
22.0ms	y	@	-inf	((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z t) (/ z t)) (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (* (/ x y) x) (* z z) (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* x (/ x y)) t) (* x (/ x y)) (+ (* (/ z -1) (/ (neg z) (* t t))) (pow (/ x y) 2)) (/ z -1) (neg z) (* t t) (/ (* z z) (* t t)) (/ (* (/ x y) x) y) (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (* (* y z) z) (/ (neg z) (* t t)))
9.0ms	t	@	-inf	((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z t) (/ z t)) (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (* (/ x y) x) (* z z) (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* x (/ x y)) t) (* x (/ x y)) (+ (* (/ z -1) (/ (neg z) (* t t))) (pow (/ x y) 2)) (/ z -1) (neg z) (* t t) (/ (* z z) (* t t)) (/ (* (/ x y) x) y) (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (* (* y z) z) (/ (neg z) (* t t)))
5.0ms	y	@	inf	((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z t) (/ z t)) (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (* (/ x y) x) (* z z) (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* x (/ x y)) t) (* x (/ x y)) (+ (* (/ z -1) (/ (neg z) (* t t))) (pow (/ x y) 2)) (/ z -1) (neg z) (* t t) (/ (* z z) (* t t)) (/ (* (/ x y) x) y) (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (* (* y z) z) (/ (neg z) (* t t)))
4.0ms	t	@	inf	((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z t) (/ z t)) (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (* (/ x y) x) (* z z) (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* x (/ x y)) t) (* x (/ x y)) (+ (* (/ z -1) (/ (neg z) (* t t))) (pow (/ x y) 2)) (/ z -1) (neg z) (* t t) (/ (* z z) (* t t)) (/ (* (/ x y) x) y) (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (* (* y z) z) (/ (neg z) (* t t)))
4.0ms	z	@	inf	((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z t) (/ z t)) (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (* (/ x y) x) (* z z) (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* x (/ x y)) t) (* x (/ x y)) (+ (* (/ z -1) (/ (neg z) (* t t))) (pow (/ x y) 2)) (/ z -1) (neg z) (* t t) (/ (* z z) (* t t)) (/ (* (/ x y) x) y) (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (* (* y z) z) (/ (neg z) (* t t)))

simplify190.0ms (2%)

Memory

20.0MiB live, 218.0MiB allocated

Algorithm

1×	egg-herbie

Rules

5 242×	`lower-*.f64`
5 242×	`lower-*.f32`
3 702×	`lower-/.f32`
3 702×	`lower-/.f64`
2 948×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	5562
1	157	5562
2	523	5562
3	2319	5562
4	4881	5562
0	8100	3900

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 612

Calls

Call 1

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

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

rewrite314.0ms (3.4%)

Memory

-20.6MiB live, 453.1MiB allocated

Rules

7 278×	`lower-fma.f32`
7 272×	`lower-fma.f64`
4 524×	`lower-/.f32`
4 510×	`lower-/.f64`
4 190×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	170
0	61	141
1	234	138
2	2748	138
0	8636	117

Stop Event

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

Counts

21 → 2 034

Calls

Call 1

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

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

eval664.0ms (7.1%)

Memory: 26.9MiB live, 754.7MiB allocated
Compiler: Compiled 56 803 to 3 036 computations (94.7% saved)

prune121.0ms (1.3%)

Memory

27.0MiB live, 263.9MiB allocated

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	3 081	16	3 097
Fresh	13	1	14
Picked	4	1	5
Done	0	1	1
Total	3 098	19	3 117

Accuracy

100.0%

Counts

3 117 → 19

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)))
	96.0%	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x #s(literal 1 binary64)) (.f64 y (/.f64 y x))))
	99.6%	(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
	71.4%	(/.f64 (fma.f64 (.f64 t x) (.f64 (/.f64 x y) t) (.f64 (.f64 y z) z)) (.f64 (.f64 y t) t))
▶	35.8%	(/.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))
	80.4%	(+.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (.f64 z z) (.f64 t t)))
▶	82.6%	(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (.f64 z z) (.f64 t t)))
✓	80.4%	(+.f64 (/.f64 (.f64 (/.f64 x y) x) y) (/.f64 (.f64 z z) (*.f64 t t)))
	94.6%	(+.f64 (/.f64 (.f64 (/.f64 x y) x) y) (/.f64 z (.f64 (/.f64 t z) t)))
✓	68.8%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
▶	58.3%	#s(approx (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (*.f64 (/.f64 (/.f64 z t) t) z))
	52.3%	#s(approx (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (*.f64 (/.f64 (/.f64 x y) y) x))
	59.0%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
	56.8%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
▶	50.2%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z z) (.f64 t t)))
	58.2%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
	53.1%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 (.f64 (neg.f64 z) #s(literal -1 binary64)) (*.f64 t t)) z))
	59.0%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z t) (.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) t))))

Compiler

Compiled 448 to 352 computations (21.4% saved)

simplify13.0ms (0.1%)

Memory

-12.3MiB live, 21.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

162×	`lower-*.f32`
146×	`lower-*.f64`
102×	`lower-/.f32`
86×	`lower-/.f64`
54×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	254
0	60	253
1	105	252
2	154	252
3	195	252
4	203	252
5	208	252
6	212	252
0	212	228

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

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

localize132.0ms (1.4%)

Memory

-20.3MiB live, 141.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 t t)
accuracy	0.00390625	(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (.f64 z z) (.f64 t t)))
accuracy	0.15625	(/.f64 (/.f64 x y) (/.f64 y x))
accuracy	15.509802656718486	(/.f64 (.f64 z z) (.f64 t t))
accuracy	6.069856185090143	(.f64 (.f64 x x) t)
accuracy	7.15453602876881	(/.f64 (.f64 (.f64 x x) t) y)
accuracy	17.36870804486909	(/.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	29.199567776770404	#s(approx (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (.f64 (/.f64 (.f64 (*.f64 x x) t) y) t))
accuracy	0	(/.f64 z t)
accuracy	0.12890625	(/.f64 (/.f64 z t) t)
accuracy	4.224747810331137	(*.f64 (/.f64 (/.f64 z t) t) z)
accuracy	26.126890136043155	#s(approx (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (*.f64 (/.f64 (/.f64 z t) t) z))
accuracy	0	(*.f64 z z)
accuracy	0	(*.f64 t t)
accuracy	15.509802656718486	(/.f64 (.f64 z z) (.f64 t t))
accuracy	26.126890136043155	#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	0.12337875976844202	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (/.f64 x y) (/.f64 y x)))
accuracy	0.15625	(/.f64 (/.f64 x y) (/.f64 y x))

Samples

110.0ms

256×

valid

Compiler

Compiled 221 to 34 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 23.0ms (39.6% of total)

ival-add: 21.0ms (36.1% of total)

ival-div: 14.0ms (24.1% of total)

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

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

series75.0ms (0.8%)

Memory

1.9MiB live, 124.1MiB allocated

Counts

18 → 576

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

Calls

12 calls:

Time	Variable		Point	Expression
28.0ms	t	@	inf	((/ (/ x y) (/ y x)) (/ z t) (/ x y) (/ y x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (* (/ (/ z t) t) z) (/ (/ z t) t) (/ (+ (* (* (* 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) (/ y x))) (* (* x x) t) (+ (/ (/ x y) (/ y x)) (/ (* z z) (* t t))))
6.0ms	x	@	-inf	((/ (/ x y) (/ y x)) (/ z t) (/ x y) (/ y x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (* (/ (/ z t) t) z) (/ (/ z t) t) (/ (+ (* (* (* 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) (/ y x))) (* (* x x) t) (+ (/ (/ x y) (/ y x)) (/ (* z z) (* t t))))
4.0ms	y	@	inf	((/ (/ x y) (/ y x)) (/ z t) (/ x y) (/ y x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (* (/ (/ z t) t) z) (/ (/ z t) t) (/ (+ (* (* (* 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) (/ y x))) (* (* x x) t) (+ (/ (/ x y) (/ y x)) (/ (* z z) (* t t))))
3.0ms	t	@	-inf	((/ (/ x y) (/ y x)) (/ z t) (/ x y) (/ y x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (* (/ (/ z t) t) z) (/ (/ z t) t) (/ (+ (* (* (* 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) (/ y x))) (* (* x x) t) (+ (/ (/ x y) (/ y x)) (/ (* z z) (* t t))))
3.0ms	y	@	-inf	((/ (/ x y) (/ y x)) (/ z t) (/ x y) (/ y x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (* (/ (/ z t) t) z) (/ (/ z t) t) (/ (+ (* (* (* 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) (/ y x))) (* (* x x) t) (+ (/ (/ x y) (/ y x)) (/ (* z z) (* t t))))

simplify232.0ms (2.5%)

Memory

4.2MiB live, 195.5MiB allocated

Algorithm

1×	egg-herbie

Rules

5 366×	`lower-*.f64`
5 366×	`lower-*.f32`
3 674×	`lower-/.f32`
3 674×	`lower-/.f64`
3 128×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	5478
1	151	5478
2	511	5478
3	2293	5478
4	4755	5478
0	8169	3816

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 576

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

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

rewrite338.0ms (3.6%)

Memory

-20.0MiB live, 417.7MiB allocated

Rules

5 948×	`lower-/.f32`
5 932×	`lower-/.f64`
4 836×	`lower-fma.f32`
4 834×	`lower-fma.f64`
3 332×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	199
0	60	178
1	221	158
2	2539	158
0	8754	140

Stop Event

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

Counts

18 → 1 006

Calls

Call 1

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

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

eval619.0ms (6.6%)

Memory: 26.6MiB live, 444.8MiB allocated
Compiler: Compiled 34 334 to 2 370 computations (93.1% saved)

prune221.0ms (2.4%)

Memory

-28.2MiB live, 115.6MiB allocated

Pruning

22 alts after pruning (15 fresh and 7 done)

	Pruned	Kept	Total
New	2 003	9	2 012
Fresh	6	6	12
Picked	0	5	5
Done	0	2	2
Total	2 009	22	2 031

Accuracy

100.0%

Counts

2 031 → 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)))
▶	96.8%	(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)))
	96.0%	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y)))
✓	35.8%	(/.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))
▶	38.7%	(/.f64 #s(approx (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (.f64 (.f64 (/.f64 x y) (.f64 t x)) t)) (.f64 (*.f64 y t) t))
	28.5%	(/.f64 #s(approx (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (.f64 (.f64 (/.f64 x y) x) (.f64 t t))) (.f64 (*.f64 y t) t))
	38.7%	(/.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))
▶	38.7%	(/.f64 #s(approx (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (.f64 (.f64 t x) (.f64 t (/.f64 x y)))) (.f64 (*.f64 y t) t))
	80.4%	(+.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (.f64 z z) (.f64 t t)))
✓	82.6%	(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (.f64 z z) (.f64 t t)))
✓	80.4%	(+.f64 (/.f64 (.f64 (/.f64 x y) x) y) (/.f64 (.f64 z z) (*.f64 t t)))
	94.6%	(+.f64 (/.f64 (.f64 (/.f64 x y) x) y) (/.f64 z (.f64 (/.f64 t z) t)))
✓	68.8%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
	59.0%	#s(approx (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (/.f64 (/.f64 z t) (/.f64 t z)))
▶	56.8%	#s(approx (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (/.f64 (*.f64 (/.f64 z t) z) t))
✓	58.3%	#s(approx (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (*.f64 (/.f64 (/.f64 z t) t) z))
	52.3%	#s(approx (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (*.f64 (/.f64 (/.f64 x y) y) x))
▶	53.1%	#s(approx (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (.f64 (/.f64 z (.f64 t t)) z))
✓	50.2%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z z) (.f64 t t)))
	58.2%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
	59.0%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z t) (.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) t))))

Compiler

Compiled 465 to 366 computations (21.3% saved)

simplify9.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

158×	`lower-*.f32`
136×	`lower-*.f64`
84×	`lower-/.f32`
72×	`lower-/.f64`
56×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	304
0	57	304
1	104	304
2	159	304
3	185	304
4	196	304
0	196	291

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize94.0ms (1%)

Memory

6.4MiB live, 45.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.262565353278564	(.f64 (/.f64 x y) (.f64 t x))
accuracy	2.6379042635197383	(.f64 (.f64 (/.f64 x y) (*.f64 t x)) t)
accuracy	17.36870804486909	(/.f64 #s(approx (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (.f64 (.f64 (/.f64 x y) (.f64 t x)) t)) (.f64 (*.f64 y t) t))
accuracy	29.199567776770404	#s(approx (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (.f64 (.f64 (/.f64 x y) (*.f64 t x)) t))
accuracy	0.12109375	(.f64 (.f64 y t) t)
accuracy	3.846714242275327	(*.f64 t (/.f64 x y))
accuracy	17.36870804486909	(/.f64 #s(approx (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (.f64 (.f64 t x) (.f64 t (/.f64 x y)))) (.f64 (*.f64 y t) t))
accuracy	29.199567776770404	#s(approx (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (.f64 (.f64 t x) (*.f64 t (/.f64 x y))))
accuracy	0	(/.f64 z t)
accuracy	0.12890625	(*.f64 (/.f64 z t) z)
accuracy	4.224463399264908	(/.f64 (*.f64 (/.f64 z t) z) t)
accuracy	26.126890136043155	#s(approx (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (/.f64 (*.f64 (/.f64 z t) z) t))
accuracy	0	(*.f64 t t)
accuracy	4.224747810331137	(.f64 (/.f64 z (.f64 t t)) z)
accuracy	6.43361914576303	(/.f64 z (*.f64 t t))
accuracy	26.126890136043155	#s(approx (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (.f64 (/.f64 z (.f64 t t)) z))
accuracy	0	(/.f64 x y)
accuracy	0.10546875	(*.f64 (/.f64 x y) x)
accuracy	0.12337875976844202	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y))
accuracy	4.606366087622437	(/.f64 (*.f64 (/.f64 x y) x) y)

Samples

52.0ms

256×

valid

Compiler

Compiled 251 to 31 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 23.0ms (66% of total)

ival-div: 9.0ms (25.8% of total)

ival-add: 2.0ms (5.7% of total)

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

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

series91.0ms (1%)

Memory

-9.2MiB live, 69.6MiB allocated

Counts

22 → 732

Calls

Call 1

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

Calls

12 calls:

Time	Variable		Point	Expression
26.0ms	z	@	-inf	((/ z t) (/ (* (/ x y) x) y) (* (/ x y) x) (/ x y) (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (* (/ z (* t t)) z) (* t t) (/ z (* t t)) (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (/ (* (/ z t) z) t) (* (/ z t) z) (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* t x) (* t (/ x y))) (* t x) (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* (/ x y) (* t x)) t) (* (/ x y) (* t x)) (+ (* (/ z t) (/ z t)) (/ (* (/ x y) x) y)) (* t (/ x y)) (* (* y t) t))
4.0ms	t	@	-inf	((/ z t) (/ (* (/ x y) x) y) (* (/ x y) x) (/ x y) (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (* (/ z (* t t)) z) (* t t) (/ z (* t t)) (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (/ (* (/ z t) z) t) (* (/ z t) z) (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* t x) (* t (/ x y))) (* t x) (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* (/ x y) (* t x)) t) (* (/ x y) (* t x)) (+ (* (/ z t) (/ z t)) (/ (* (/ x y) x) y)) (* t (/ x y)) (* (* y t) t))
3.0ms	y	@	-inf	((/ z t) (/ (* (/ x y) x) y) (* (/ x y) x) (/ x y) (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (* (/ z (* t t)) z) (* t t) (/ z (* t t)) (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (/ (* (/ z t) z) t) (* (/ z t) z) (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* t x) (* t (/ x y))) (* t x) (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* (/ x y) (* t x)) t) (* (/ x y) (* t x)) (+ (* (/ z t) (/ z t)) (/ (* (/ x y) x) y)) (* t (/ x y)) (* (* y t) t))
3.0ms	x	@	-inf	((/ z t) (/ (* (/ x y) x) y) (* (/ x y) x) (/ x y) (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (* (/ z (* t t)) z) (* t t) (/ z (* t t)) (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (/ (* (/ z t) z) t) (* (/ z t) z) (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* t x) (* t (/ x y))) (* t x) (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* (/ x y) (* t x)) t) (* (/ x y) (* t x)) (+ (* (/ z t) (/ z t)) (/ (* (/ x y) x) y)) (* t (/ x y)) (* (* y t) t))
3.0ms	t	@	0	((/ z t) (/ (* (/ x y) x) y) (* (/ x y) x) (/ x y) (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (* (/ z (* t t)) z) (* t t) (/ z (* t t)) (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (/ (* (/ z t) z) t) (* (/ z t) z) (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* t x) (* t (/ x y))) (* t x) (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* (/ x y) (* t x)) t) (* (/ x y) (* t x)) (+ (* (/ z t) (/ z t)) (/ (* (/ x y) x) y)) (* t (/ x y)) (* (* y t) t))

simplify287.0ms (3.1%)

Memory

37.0MiB live, 155.3MiB allocated

Algorithm

1×	egg-herbie

Rules

5 566×	`lower-*.f64`
5 566×	`lower-*.f32`
3 682×	`lower-/.f32`
3 682×	`lower-/.f64`
3 336×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	6816
1	157	6816
2	519	6816
3	2218	6816
4	4659	6816
0	8277	4932

Stop Event

1×	iter limit
1×	node limit

Counts

732 → 732

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

rewrite433.0ms (4.6%)

Memory

-14.5MiB live, 220.9MiB allocated

Rules

8 530×	`lower-fma.f32`
8 528×	`lower-fma.f64`
4 472×	`lower-*.f32`
4 450×	`lower-*.f64`
3 906×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	267
0	57	258
1	180	234
2	1359	214
0	8584	198

Stop Event

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

Counts

22 → 883

Calls

Call 1

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

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

eval360.0ms (3.9%)

Memory: -1.8MiB live, 462.8MiB allocated
Compiler: Compiled 28 966 to 2 305 computations (92% saved)

prune60.0ms (0.6%)

Memory

-1.7MiB live, 200.6MiB allocated

Pruning

21 alts after pruning (11 fresh and 10 done)

	Pruned	Kept	Total
New	1 858	6	1 864
Fresh	5	5	10
Picked	1	4	5
Done	1	6	7
Total	1 865	21	1 886

Accuracy

100.0%

Counts

1 886 → 21

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)))
✓	96.8%	(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)))
	96.0%	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y)))
	32.8%	(/.f64 #s(approx (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (/.f64 (.f64 (.f64 (.f64 x t) t) x) y)) (.f64 (*.f64 y t) t))
✓	38.7%	(/.f64 #s(approx (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (.f64 (.f64 (/.f64 x y) (.f64 t x)) t)) (.f64 (*.f64 y t) t))
	38.7%	(/.f64 #s(approx (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (.f64 (.f64 (.f64 (/.f64 x y) t) x) t)) (.f64 (*.f64 y t) t))
	38.7%	(/.f64 #s(approx (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (.f64 (.f64 t x) (/.f64 (.f64 x t) y))) (.f64 (*.f64 y t) t))
	80.4%	(+.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (.f64 z z) (.f64 t t)))
✓	82.6%	(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (.f64 z z) (.f64 t t)))
✓	80.4%	(+.f64 (/.f64 (.f64 (/.f64 x y) x) y) (/.f64 (.f64 z z) (*.f64 t t)))
	94.6%	(+.f64 (/.f64 (.f64 (/.f64 x y) x) y) (/.f64 z (.f64 (/.f64 t z) t)))
✓	68.8%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
	56.8%	#s(approx (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (/.f64 (/.f64 z (/.f64 t z)) t))
	55.4%	#s(approx (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z z))) t))
✓	56.8%	#s(approx (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (/.f64 (*.f64 (/.f64 z t) z) t))
	58.2%	#s(approx (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (/.f64 z (*.f64 (/.f64 t z) t)))
✓	58.3%	#s(approx (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (*.f64 (/.f64 (/.f64 z t) t) z))
	52.3%	#s(approx (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (*.f64 (/.f64 (/.f64 x y) y) x))
✓	53.1%	#s(approx (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (.f64 (/.f64 z (.f64 t t)) z))
✓	50.2%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z z) (.f64 t t)))

Compiler

Compiled 967 to 390 computations (59.7% saved)

regimes180.0ms (1.9%)

Memory

-2.0MiB live, 414.9MiB allocated

Counts

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

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

Calls

11 calls:

25.0ms	(*.f64 t t)
19.0ms	x
16.0ms	t
16.0ms	y
16.0ms	z

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)

regimes213.0ms (2.3%)

Memory

-3.9MiB live, 277.6MiB allocated

Counts

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

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

Calls

11 calls:

49.0ms	(*.f64 y y)
34.0ms	(/.f64 (.f64 x x) (.f64 y y))
28.0ms	x
15.0ms	t
14.0ms	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))

Results

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

Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes105.0ms (1.1%)

Memory

4.9MiB live, 276.4MiB allocated

Counts

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

Calls

11 calls:

13.0ms	z
11.0ms	x
9.0ms	(*.f64 y y)
9.0ms	(*.f64 z z)
9.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
90.6%	2	`(/.f64 (.f64 x x) (.f64 y y))`
89.4%	3	`(*.f64 x x)`
88.6%	2	`(/.f64 (.f64 z z) (.f64 t t))`
91.2%	4	`x`
89.8%	3	`y`
86.3%	3	`z`
89.5%	3	`t`
82.7%	1	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
88.7%	3	`(*.f64 y y)`
86.3%	3	`(*.f64 z z)`
89.5%	3	`(*.f64 t t)`

Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes28.0ms (0.3%)

Memory

19.6MiB live, 62.9MiB allocated

Counts

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

Outputs
(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

3 calls:

10.0ms	(/.f64 (.f64 z z) (.f64 t t))
9.0ms	y
7.0ms	(/.f64 (.f64 x x) (.f64 y y))

Results

Accuracy	Segments	Branch
87.4%	3	`y`
87.3%	2	`(/.f64 (.f64 z z) (.f64 t t))`
88.2%	2	`(/.f64 (.f64 x x) (.f64 y y))`

Compiler

Compiled 15 to 18 computations (-20% saved)

regimes107.0ms (1.1%)

Memory

-17.3MiB live, 141.3MiB allocated

Counts

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

Outputs

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

(+.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 z t) (/.f64 t z)))

Calls

11 calls:

30.0ms	(*.f64 y y)
9.0ms	t
9.0ms	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
8.0ms	z
8.0ms	x

Results

Accuracy	Segments	Branch
80.0%	3	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
78.7%	3	`z`
78.7%	3	`(*.f64 z z)`
79.7%	3	`y`
79.7%	3	`(*.f64 y y)`
85.5%	3	`(/.f64 (.f64 z z) (.f64 t t))`
82.6%	3	`(*.f64 x x)`
82.4%	3	`t`
82.4%	3	`(*.f64 t t)`
82.6%	3	`x`
85.1%	3	`(/.f64 (.f64 x x) (.f64 y y))`

Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes10.0ms (0.1%)

Memory

21.2MiB live, 21.2MiB allocated

Counts

16 → 2

Calls

Call 1

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

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

2 calls:

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

Results

Accuracy	Segments	Branch
82.6%	2	`(/.f64 (.f64 x x) (.f64 y y))`
77.7%	2	`(/.f64 (.f64 z z) (.f64 t t))`

Compiler

Compiled 14 to 14 computations (0% saved)

regimes6.0ms (0.1%)

Memory

-29.9MiB live, 8.6MiB 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)) t) t) (* (* y z) z)) (* (* y t) t)) (.f64 (/.f64 z (.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
#s(approx (/ (+ (* (* (* x (/ x y)) 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)) t) t) (* (* y z) z)) (* (* y t) t)) (/.f64 z (*.f64 (/.f64 t z) t)))
#s(approx (/ (+ (* (* (* x (/ x y)) t) t) (* (* y z) z)) (* (* y t) t)) (/.f64 (*.f64 (/.f64 z t) z) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 (.f64 (neg.f64 z) #s(literal -1 binary64)) (*.f64 t t)) z))

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:

5.0ms

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

Results

Accuracy	Segments	Branch
82.5%	2	`(/.f64 (.f64 x x) (.f64 y y))`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes21.0ms (0.2%)

Memory

8.2MiB live, 46.7MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

11 calls:

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

Results

Accuracy	Segments	Branch
59.0%	1	`z`
59.0%	1	`(*.f64 z z)`
59.0%	1	`(/.f64 (.f64 z z) (.f64 t t))`
59.0%	1	`y`
59.0%	1	`(*.f64 y y)`
59.0%	1	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
59.0%	1	`t`
59.0%	1	`(*.f64 t t)`
59.0%	1	`x`
59.0%	1	`(*.f64 x x)`
59.0%	1	`(/.f64 (.f64 x x) (.f64 y y))`

Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes17.0ms (0.2%)

Memory

28.6MiB live, 28.6MiB 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)) t) t) (* (* y z) z)) (* (* y t) t)) (.f64 (/.f64 z (.f64 t t)) z))

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

Calls

11 calls:

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

Results

Accuracy	Segments	Branch
53.1%	1	`z`
53.1%	1	`(*.f64 y y)`
53.1%	1	`(*.f64 z z)`
53.1%	1	`y`
53.1%	1	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
53.1%	1	`(/.f64 (.f64 z z) (.f64 t t))`
53.1%	1	`t`
53.1%	1	`(/.f64 (.f64 x x) (.f64 y y))`
53.1%	1	`(*.f64 t t)`
53.1%	1	`x`
53.1%	1	`(*.f64 x x)`

Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes15.0ms (0.2%)

Memory

-14.7MiB live, 24.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

11 calls:

3.0ms	(/.f64 (.f64 z z) (.f64 t t))
1.0ms	y
1.0ms	x
1.0ms	z
1.0ms	t

Results

Accuracy	Segments	Branch
50.2%	1	`t`
50.2%	1	`(/.f64 (.f64 x x) (.f64 y y))`
50.2%	1	`(*.f64 y y)`
50.2%	1	`y`
50.2%	1	`z`
50.2%	1	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
50.2%	1	`(*.f64 z z)`
50.2%	1	`(*.f64 t t)`
50.2%	1	`x`
50.2%	1	`(*.f64 x x)`
50.2%	1	`(/.f64 (.f64 z z) (.f64 t t))`

Compiler

Compiled 45 to 61 computations (-35.6% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

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	1.9556066276825917e+300	+inf

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.9734383415394216e+281	1.8689011797323942e+305
0.0ms	2.113469703077115e-287	3.8899928606324114e-279

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.1064476903920124e+70	1.7966842653148533e+78

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.1064476903920124e+70	1.7966842653148533e+78

Compiler

Compiled 18 to 18 computations (0% saved)

simplify30.0ms (0.3%)

Memory

-5.4MiB live, 41.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	382
1	72	382

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 x x) (.f64 y y)) #s(literal +inf.0 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x x) (.f64 y y))) (+.f64 (/.f64 (.f64 (/.f64 x y) x) y) (/.f64 (.f64 z z) (*.f64 t t))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 2000000000000000105009520510408840497408937162216318309831708231023604915977816391572742750160895728087408887665767756353885046470720861151289584369573413965696774401853151607475660467589576180118737906469941599890162238077935281760149305485560284989158517577640113685676231338944392773730918801080320 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 z z) (.f64 t t)) #s(literal 6857655085992111/171441377149802771351748007849600289689824769872885377191000062139256168179989779598911740610511337300415147666808503492029943245710770246975753241195177196862953084397187695766737193680997938270047266914448743599737311060278380280946648703137233006633139143642984674682566877306441990189395290689110016 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 (/.f64 x y) y) x)) (if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 200000000000000006556449196572419649714141056604298712852666715488188520639474867185586875734482358610763499516364830163740326935382139139198798220258608504224955760849124013163054654471029919298065709782502060125818520278488967130426189712965200924415757135362171021140252940042240 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 z t) (/.f64 t z)))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 50000000000000002094076278210572897949571693332016914157171385590349824 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 50000000000000002094076278210572897949571693332016914157171385590349824 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)) t) t) (* (* y z) z)) (* (* y t) t)) (.f64 (/.f64 z (.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z z) (.f64 t t)))

Outputs
(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 x x) (.f64 y y)) #s(literal +inf.0 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x x) (.f64 y y))) (+.f64 (/.f64 (.f64 (/.f64 x y) x) y) (/.f64 (.f64 z z) (*.f64 t t))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal +inf.0 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x x) (.f64 y y))) (+.f64 (/.f64 (.f64 z z) (.f64 t t)) (/.f64 (*.f64 (/.f64 x y) x) y)))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 2000000000000000105009520510408840497408937162216318309831708231023604915977816391572742750160895728087408887665767756353885046470720861151289584369573413965696774401853151607475660467589576180118737906469941599890162238077935281760149305485560284989158517577640113685676231338944392773730918801080320 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 z z) (.f64 t t)) #s(literal 6857655085992111/171441377149802771351748007849600289689824769872885377191000062139256168179989779598911740610511337300415147666808503492029943245710770246975753241195177196862953084397187695766737193680997938270047266914448743599737311060278380280946648703137233006633139143642984674682566877306441990189395290689110016 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 (/.f64 x y) y) x)) (if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 200000000000000006556449196572419649714141056604298712852666715488188520639474867185586875734482358610763499516364830163740326935382139139198798220258608504224955760849124013163054654471029919298065709782502060125818520278488967130426189712965200924415757135362171021140252940042240 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 z t) (/.f64 t z)))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 6857655085992111/171441377149802771351748007849600289689824769872885377191000062139256168179989779598911740610511337300415147666808503492029943245710770246975753241195177196862953084397187695766737193680997938270047266914448743599737311060278380280946648703137233006633139143642984674682566877306441990189395290689110016 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 (/.f64 x y) y) x)) (if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 200000000000000006556449196572419649714141056604298712852666715488188520639474867185586875734482358610763499516364830163740326935382139139198798220258608504224955760849124013163054654471029919298065709782502060125818520278488967130426189712965200924415757135362171021140252940042240 binary64)) (+.f64 (/.f64 (.f64 z z) (.f64 t t)) (/.f64 (.f64 x x) (.f64 y y))) #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 50000000000000002094076278210572897949571693332016914157171385590349824 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 50000000000000002094076278210572897949571693332016914157171385590349824 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)) t) t) (* (* y z) z)) (* (* y t) t)) (.f64 (/.f64 z (.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z z) (.f64 t t)))

soundness1.2s (12.3%)

Memory

6.7MiB live, 757.8MiB allocated

Rules

9 376×	`lower-fma.f64`
9 376×	`lower-fma.f32`
9 024×	`lower-fma.f64`
9 024×	`lower-fma.f32`
7 278×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	41
0	18	41
1	69	33
2	813	33
0	8373	29
0	59	5562
1	157	5562
2	523	5562
3	2319	5562
4	4881	5562
0	8100	3900
0	42	199
0	60	178
1	221	158
2	2539	158
0	8754	140
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	840
0	37	170
0	61	141
1	234	138
2	2748	138
0	8636	117

Stop Event

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

Compiler

Compiled 641 to 287 computations (55.2% saved)

preprocess83.0ms (0.9%)

Memory

-17.5MiB live, 138.6MiB allocated

Remove

(abs x)

(abs y)

(abs z)

(abs t)

Compiler

Compiled 616 to 214 computations (65.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	42	254
0	60	253
1	105	252
2	154	252
3	195	252
4	203	252
5	208	252
6	212	252
0	212	228

Iter	Nodes	Cost
0	42	254
0	60	253
1	105	252
2	154	252
3	195	252
4	203	252
5	208	252
6	212	252
0	212	228

start0.0ms (0%)

analyze356.0ms (3.8%)

sample1.3s (13.9%)

explain161.0ms (1.7%)

preprocess259.0ms (2.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0%)

localize50.0ms (0.5%)

series18.0ms (0.2%)

simplify184.0ms (2%)

rewrite287.0ms (3.1%)

eval66.0ms (0.7%)

prune29.0ms (0.3%)

simplify161.0ms (1.7%)

localize138.0ms (1.5%)

series111.0ms (1.2%)

simplify190.0ms (2%)

rewrite314.0ms (3.4%)

eval664.0ms (7.1%)

prune121.0ms (1.3%)

simplify13.0ms (0.1%)

localize132.0ms (1.4%)

series75.0ms (0.8%)

simplify232.0ms (2.5%)

rewrite338.0ms (3.6%)

eval619.0ms (6.6%)

prune221.0ms (2.4%)

simplify9.0ms (0.1%)

localize94.0ms (1%)

series91.0ms (1%)

simplify287.0ms (3.1%)

rewrite433.0ms (4.6%)

eval360.0ms (3.9%)

prune60.0ms (0.6%)

regimes180.0ms (1.9%)

regimes213.0ms (2.3%)

regimes105.0ms (1.1%)

regimes28.0ms (0.3%)

regimes107.0ms (1.1%)

regimes10.0ms (0.1%)

regimes6.0ms (0.1%)

regimes21.0ms (0.2%)

regimes17.0ms (0.2%)

regimes15.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify30.0ms (0.3%)

soundness1.2s (12.3%)

preprocess83.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	42	254
0	60	253
1	105	252
2	154	252
3	195	252
4	203	252
5	208	252
6	212	252
0	212	228