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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze150.0ms (1.4%)

Memory

-14.0MiB live, 270.9MiB 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)

sample1.0s (9.5%)

Memory

28.0MiB live, 1 273.7MiB allocated

Samples

612.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 411.0ms

ival-mult: 247.0ms (60.1% of total)

ival-div: 119.0ms (29% of total)

ival-add: 35.0ms (8.5% of total)

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

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

Bogosity

explain354.0ms (3.4%)

Memory

26.6MiB live, 220.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
65	-	1	(2.9298041448579435e-13 2.7033831512044723e-268 -5.595664196653237e-161 1.4229355842491632e-15)	`(/.f64 (.f64 z z) (.f64 t t))`
65	-	3	(-6.030145403491908e-157 4.860162526388308e-60 45556.29743544709 -1.0979453208643453e+229)	`(/.f64 (.f64 x x) (.f64 y y))`
0	-	0	-	`t`
0	-	0	-	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`(*.f64 t t)`
0	-	0	-	`(*.f64 z z)`
0	-	0	-	`y`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	o/n	16	0
↳	`(*.f64 z z)`	overflow	75
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	o/o	14	0
↳	`(*.f64 z z)`	overflow	75
↳	`(*.f64 t t)`	overflow	63
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	u/u	14	0
↳	`(*.f64 x x)`	underflow	68
↳	`(*.f64 y y)`	underflow	71
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	o/o	12	0
↳	`(*.f64 x x)`	overflow	70
↳	`(*.f64 y y)`	overflow	65
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	u/u	10	0
↳	`(*.f64 z z)`	underflow	54
↳	`(*.f64 t t)`	underflow	65
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	n/u	9	0
↳	`(*.f64 t t)`	underflow	65
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	n/u	8	0
↳	`(*.f64 y y)`	underflow	71
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	o/n	8	0
↳	`(*.f64 x x)`	overflow	70
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	u/n	6	0
↳	`(*.f64 x x)`	underflow	68
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	n/o	4	0
↳	`(*.f64 y y)`	overflow	65
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	n/o	3	0
↳	`(*.f64 t t)`	overflow	63
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	u/n	2	0
↳	`(*.f64 z z)`	underflow	54

Confusion

	Predicted +	Predicted -
+	89	4
-	15	148

Precision

0.8557692307692307

Recall

0.956989247311828

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	89	0	4
-	15	0	148

Precision?

0.8557692307692307

Recall?

0.956989247311828

Freqs

test

number	freq
0	152
1	102
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

39.0ms

512×

valid

Compiler

Compiled 109 to 37 computations (66.1% saved)

Precisions

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

ival-mult: 13.0ms (59.9% of total)

ival-div: 6.0ms (27.6% of total)

ival-add: 2.0ms (9.2% of total)

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

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

preprocess262.0ms (2.5%)

Memory

-7.7MiB live, 30.6MiB 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	14

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs t)

(abs z)

(abs y)

(abs x)

Compiler

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.9%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify4.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize129.0ms (1.2%)

Memory

7.5MiB live, 44.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0	(*.f64 t t)
accuracy	15.036632185817444	(/.f64 (.f64 x x) (.f64 y y))
accuracy	15.308472737583276	(/.f64 (.f64 z z) (.f64 t t))

Samples

123.0ms

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: 7.0ms (63.6% of total)

ival-div: 3.0ms (27.3% of total)

ival-add: 1.0ms (9.1% of total)

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

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

series56.0ms (0.5%)

Memory

-16.1MiB live, 33.3MiB allocated

Counts

7 → 144

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
40.0ms	t	@	-inf	((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* z z) (* t t)) (/ (* x x) (* y y)) (* t t))
2.0ms	y	@	0	((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* z z) (* t t)) (/ (* x x) (* y y)) (* t t))
1.0ms	t	@	inf	((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* z z) (* t t)) (/ (* x x) (* y y)) (* t t))
1.0ms	t	@	0	((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* z z) (* t t)) (/ (* x x) (* y y)) (* t t))
1.0ms	z	@	inf	((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* z z) (* t t)) (/ (* x x) (* y y)) (* t t))

simplify179.0ms (1.7%)

Memory

-15.0MiB live, 145.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

rewrite290.0ms (2.8%)

Memory

35.4MiB live, 224.2MiB 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: 1 (0.0ms)

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

Stop Event

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

Counts

7 → 418

Calls

Call 1

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

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

eval352.0ms (3.4%)

Memory: -197.9MiB live, 125.0MiB allocated
Compiler: Compiled 10 577 to 1 105 computations (89.6% saved)

prune35.0ms (0.3%)

Memory

23.8MiB live, 63.2MiB allocated

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	546	16	562
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	546	17	563

Accuracy

100.0%

Counts

563 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.8%	(/.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))
	59.2%	(/.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))
	69.5%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 y t) t) (fma.f64 (.f64 (.f64 x (/.f64 x y)) t) t (.f64 (.f64 y z) z))))
	80.9%	(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (.f64 z z) (.f64 t t)))
	77.6%	(+.f64 (/.f64 (.f64 (/.f64 x y) x) y) (/.f64 (.f64 z z) (*.f64 t t)))
	81.5%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z)))
▶	79.4%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
✓	64.9%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
	72.3%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z)))
	81.1%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z t) #s(literal -2 binary64))))
	72.3%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 z) (.f64 t t))))
▶	79.4%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (.f64 (/.f64 #s(literal -1 binary64) t) (.f64 (neg.f64 z) (/.f64 z t))))
	80.8%	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 z z) (*.f64 t t)))
▶	98.2%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t))))
	59.0%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x))
▶	58.3%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))

Compiler

Compiled 529 to 385 computations (27.2% saved)

simplify221.0ms (2.1%)

Memory

-5.1MiB live, 79.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

5 536×	`lower-fma.f32`
5 532×	`lower-fma.f64`
3 100×	`lower-*.f32`
3 076×	`lower-*.f64`
2 082×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	290
0	67	271
1	124	271
2	268	271
3	721	271
4	2383	271
5	6304	271
0	8348	270

Stop Event

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

Calls

Call 1

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

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

localize125.0ms (1.2%)

Memory

13.9MiB live, 211.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.15625	(*.f64 z (/.f64 z t))
accuracy	3.049594426616644	(fma.f64 (.f64 (.f64 z (/.f64 z t)) y) (neg.f64 y) (.f64 (.f64 t (neg.f64 x)) x))
accuracy	5.825286740815046	(.f64 (.f64 z (/.f64 z t)) y)
accuracy	18.490958768747138	(/.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))
accuracy	0	(neg.f64 z)
accuracy	0.15625	(*.f64 (neg.f64 z) (/.f64 z t))
accuracy	3.5275339124188347	(.f64 (/.f64 #s(literal -1 binary64) t) (.f64 (neg.f64 z) (/.f64 z t)))
accuracy	15.036632185817444	(/.f64 (.f64 x x) (.f64 y y))
accuracy	0	(*.f64 x x)
accuracy	0.15625	(*.f64 (/.f64 z t) z)
accuracy	3.4783739026503926	(/.f64 (*.f64 (/.f64 z t) z) t)
accuracy	15.036632185817444	(/.f64 (.f64 x x) (.f64 y y))
accuracy	0	(/.f64 z t)
accuracy	0.1875	(*.f64 (/.f64 z t) (/.f64 z t))
accuracy	26.559360456733256	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
accuracy	0	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t))))
accuracy	0.1171875	(/.f64 (/.f64 x y) y)
accuracy	0.1875	(*.f64 (/.f64 z t) (/.f64 z t))
accuracy	1.0396980139002427	(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))

Samples

81.0ms

256×

valid

Compiler

Compiled 272 to 39 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 38.0ms (62.3% of total)

ival-div: 12.0ms (19.7% of total)

ival-add: 5.0ms (8.2% of total)

ival-neg: 5.0ms (8.2% of total)

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

exact: 0.0ms (0% of total)

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

series140.0ms (1.3%)

Memory

-20.3MiB live, 137.2MiB allocated

Counts

21 → 648

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (+ (* (/ (/ x y) y) x) (* (/ z t) (/ z t))) (/ (/ x y) y) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z t) (/ z t)) (/ z t) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* x x) (* y y) (/ (* (/ z t) z) t) (* (/ -1 t) (* (neg z) (/ z t))) (+ (/ (* x x) (* y y)) (* (/ -1 t) (* (neg z) (/ z t)))) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* z (/ z t)) y) (* z (/ z t)) (/ (* x x) (* y y)) (* (/ z t) z) (* (neg z) (/ z t)) (neg z))
8.0ms	z	@	inf	((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (+ (* (/ (/ x y) y) x) (* (/ z t) (/ z t))) (/ (/ x y) y) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z t) (/ z t)) (/ z t) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* x x) (* y y) (/ (* (/ z t) z) t) (* (/ -1 t) (* (neg z) (/ z t))) (+ (/ (* x x) (* y y)) (* (/ -1 t) (* (neg z) (/ z t)))) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* z (/ z t)) y) (* z (/ z t)) (/ (* x x) (* y y)) (* (/ z t) z) (* (neg z) (/ z t)) (neg z))
7.0ms	t	@	0	((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (+ (* (/ (/ x y) y) x) (* (/ z t) (/ z t))) (/ (/ x y) y) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z t) (/ z t)) (/ z t) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* x x) (* y y) (/ (* (/ z t) z) t) (* (/ -1 t) (* (neg z) (/ z t))) (+ (/ (* x x) (* y y)) (* (/ -1 t) (* (neg z) (/ z t)))) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* z (/ z t)) y) (* z (/ z t)) (/ (* x x) (* y y)) (* (/ z t) z) (* (neg z) (/ z t)) (neg z))
4.0ms	t	@	inf	((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (+ (* (/ (/ x y) y) x) (* (/ z t) (/ z t))) (/ (/ x y) y) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z t) (/ z t)) (/ z t) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* x x) (* y y) (/ (* (/ z t) z) t) (* (/ -1 t) (* (neg z) (/ z t))) (+ (/ (* x x) (* y y)) (* (/ -1 t) (* (neg z) (/ z t)))) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* z (/ z t)) y) (* z (/ z t)) (/ (* x x) (* y y)) (* (/ z t) z) (* (neg z) (/ z t)) (neg z))
3.0ms	z	@	0	((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (+ (* (/ (/ x y) y) x) (* (/ z t) (/ z t))) (/ (/ x y) y) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z t) (/ z t)) (/ z t) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* x x) (* y y) (/ (* (/ z t) z) t) (* (/ -1 t) (* (neg z) (/ z t))) (+ (/ (* x x) (* y y)) (* (/ -1 t) (* (neg z) (/ z t)))) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* z (/ z t)) y) (* z (/ z t)) (/ (* x x) (* y y)) (* (/ z t) z) (* (neg z) (/ z t)) (neg z))

simplify703.0ms (6.7%)

Memory

13.0MiB live, 204.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 290×	`lower-fma.f64`
11 290×	`lower-fma.f32`
5 464×	`lower-*.f64`
5 464×	`lower-*.f32`
2 134×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	6336
1	204	6300
2	693	6300
3	3706	6234
4	5484	6234
0	8125	5982

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 648

Calls

Call 1

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

rewrite309.0ms (2.9%)

Memory

-10.6MiB live, 393.1MiB allocated

Rules

6 958×	`lower-fma.f32`
6 954×	`lower-fma.f64`
5 400×	`lower-/.f32`
5 386×	`lower-/.f64`
4 186×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	212
0	67	171
1	252	160
2	2199	160
0	8558	160

Stop Event

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

Counts

21 → 2 119

Calls

Call 1

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

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

eval520.0ms (5%)

Memory: 79.0MiB live, 900.2MiB allocated
Compiler: Compiled 72 750 to 4 183 computations (94.3% saved)

prune116.0ms (1.1%)

Memory

-35.2MiB live, 274.7MiB allocated

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	3 500	10	3 510
Fresh	7	4	11
Picked	3	2	5
Done	0	1	1
Total	3 510	17	3 527

Accuracy

100.0%

Counts

3 527 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.9%	(/.f64 #s(approx (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (.f64 (.f64 (neg.f64 x) t) x)) (.f64 (.f64 t (neg.f64 y)) y))
	69.5%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 y t) t) (fma.f64 (.f64 (.f64 x (/.f64 x y)) t) t (.f64 (.f64 y z) z))))
	80.9%	(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (.f64 z z) (.f64 t t)))
	77.6%	(+.f64 (/.f64 (.f64 (/.f64 x y) x) y) (/.f64 (.f64 z z) (*.f64 t t)))
✓	64.9%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
▶	95.4%	(+.f64 (/.f64 x (.f64 (/.f64 y x) y)) (/.f64 (.f64 (/.f64 z t) z) t))
	55.3%	#s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (*.f64 (/.f64 (/.f64 z t) t) z))
▶	59.7%	#s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (*.f64 (/.f64 x y) (/.f64 x y)))
✓	98.2%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t))))
▶	89.9%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 x (.f64 y y)) x (.f64 (/.f64 z t) (/.f64 z t))))
▶	58.4%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
	56.9%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
▶	46.3%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z z) (.f64 t t)))
	55.1%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z #s(literal 1 binary64)) (.f64 t (/.f64 t z))))
	59.0%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x))
✓	58.3%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
	58.4%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z t) (.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z))))

Compiler

Compiled 368 to 304 computations (17.4% saved)

simplify208.0ms (2%)

Memory

-9.4MiB live, 265.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

21 544×	`lower-fma.f32`
21 542×	`lower-fma.f64`
3 676×	`lower-*.f32`
3 662×	`lower-*.f64`
2 784×	`lower-/.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	45	235
0	63	233
1	120	230
2	220	230
3	528	228
4	1881	223
5	6297	221
0	8221	221

Stop Event

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

Calls

Call 1

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

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

localize93.0ms (0.9%)

Memory

21.7MiB live, 133.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 x (.f64 y y)) x (.f64 (/.f64 z t) (/.f64 z t))))
accuracy	0.1875	(*.f64 (/.f64 z t) (/.f64 z t))
accuracy	1.0396980139002427	(fma.f64 (/.f64 x (.f64 y y)) x (.f64 (/.f64 z t) (/.f64 z t)))
accuracy	8.117226981141737	(/.f64 x (*.f64 y y))
accuracy	0	(/.f64 z t)
accuracy	0	(/.f64 t z)
accuracy	0.1484375	(/.f64 (/.f64 z t) (/.f64 t z))
accuracy	26.559360456733256	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
accuracy	0	(/.f64 x y)
accuracy	0.197597509768442	(*.f64 (/.f64 x y) (/.f64 x y))
accuracy	25.670787241934317	#s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (*.f64 (/.f64 x y) (/.f64 x y)))
accuracy	0	(*.f64 z z)
accuracy	0	(*.f64 t t)
accuracy	15.308472737583276	(/.f64 (.f64 z z) (.f64 t t))
accuracy	26.559360456733256	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z z) (.f64 t t)))
accuracy	0.13671875	(*.f64 (/.f64 y x) y)
accuracy	0.15625	(*.f64 (/.f64 z t) z)
accuracy	2.8977482758474475	(/.f64 x (*.f64 (/.f64 y x) y))
accuracy	3.4783739026503926	(/.f64 (*.f64 (/.f64 z t) z) t)

Samples

73.0ms

256×

valid

Compiler

Compiled 199 to 39 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 23.0ms (47.4% of total)

ival-div: 19.0ms (39.2% of total)

ival-add: 4.0ms (8.3% of total)

ival-neg: 2.0ms (4.1% of total)

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

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

series75.0ms (0.7%)

Memory

8.4MiB live, 55.2MiB allocated

Counts

22 → 636

Calls

Call 1

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

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

12 calls:

Time	Variable		Point	Expression
30.0ms	y	@	inf	((+ (/ x (* (/ y x) y)) (/ (* (/ z t) z) t)) (/ x (* (/ y x) y)) (* (/ y x) y) (/ y x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (* (/ x y) (/ x y)) (/ x y) (/ (/ z t) (/ t z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ z t) (/ t z) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (+ (* (/ x (* y y)) x) (* (/ z t) (/ z t))) (* y y) (* (/ z t) (/ z t)) (/ (* (/ z t) z) t) (* (/ z t) z) (/ x (* y y)))
3.0ms	x	@	-inf	((+ (/ x (* (/ y x) y)) (/ (* (/ z t) z) t)) (/ x (* (/ y x) y)) (* (/ y x) y) (/ y x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (* (/ x y) (/ x y)) (/ x y) (/ (/ z t) (/ t z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ z t) (/ t z) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (+ (* (/ x (* y y)) x) (* (/ z t) (/ z t))) (* y y) (* (/ z t) (/ z t)) (/ (* (/ z t) z) t) (* (/ z t) z) (/ x (* y y)))
3.0ms	z	@	-inf	((+ (/ x (* (/ y x) y)) (/ (* (/ z t) z) t)) (/ x (* (/ y x) y)) (* (/ y x) y) (/ y x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (* (/ x y) (/ x y)) (/ x y) (/ (/ z t) (/ t z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ z t) (/ t z) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (+ (* (/ x (* y y)) x) (* (/ z t) (/ z t))) (* y y) (* (/ z t) (/ z t)) (/ (* (/ z t) z) t) (* (/ z t) z) (/ x (* y y)))
3.0ms	y	@	-inf	((+ (/ x (* (/ y x) y)) (/ (* (/ z t) z) t)) (/ x (* (/ y x) y)) (* (/ y x) y) (/ y x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (* (/ x y) (/ x y)) (/ x y) (/ (/ z t) (/ t z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ z t) (/ t z) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (+ (* (/ x (* y y)) x) (* (/ z t) (/ z t))) (* y y) (* (/ z t) (/ z t)) (/ (* (/ z t) z) t) (* (/ z t) z) (/ x (* y y)))
2.0ms	x	@	0	((+ (/ x (* (/ y x) y)) (/ (* (/ z t) z) t)) (/ x (* (/ y x) y)) (* (/ y x) y) (/ y x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (* (/ x y) (/ x y)) (/ x y) (/ (/ z t) (/ t z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ z t) (/ t z) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (+ (* (/ x (* y y)) x) (* (/ z t) (/ z t))) (* y y) (* (/ z t) (/ z t)) (/ (* (/ z t) z) t) (* (/ z t) z) (/ x (* y y)))

simplify241.0ms (2.3%)

Memory

-11.0MiB live, 240.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 106×	`lower-fma.f64`
9 106×	`lower-fma.f32`
5 862×	`lower-*.f64`
5 862×	`lower-*.f32`
1 816×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	5652
1	67	5652
2	198	5652
3	833	5652
4	2885	5652
5	3990	5652
6	6323	5652
7	7811	5652
0	8115	5436

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 636

Calls

Call 1

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

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

rewrite300.0ms (2.9%)

Memory

18.0MiB live, 358.3MiB allocated

Rules

4 152×	`lower-/.f32`
4 134×	`lower-/.f64`
4 050×	`lower-fma.f32`
4 048×	`lower-fma.f64`
3 890×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	215
0	63	175
1	252	162
2	3237	162
0	8646	162

Stop Event

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

Counts

22 → 1 307

Calls

Call 1

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

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

eval382.0ms (3.6%)

Memory: -14.9MiB live, 582.8MiB allocated
Compiler: Compiled 38 093 to 3 196 computations (91.6% saved)

prune93.0ms (0.9%)

Memory

4.4MiB live, 171.0MiB allocated

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	2 166	8	2 174
Fresh	5	4	9
Picked	2	3	5
Done	2	1	3
Total	2 175	16	2 191

Accuracy

100.0%

Counts

2 191 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.9%	(/.f64 #s(approx (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (.f64 (.f64 (neg.f64 x) t) x)) (.f64 (.f64 t (neg.f64 y)) y))
▶	59.8%	#s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (/.f64 (/.f64 x y) (/.f64 y x)))
▶	56.5%	#s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (/.f64 (*.f64 (/.f64 x y) x) y))
▶	47.5%	#s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (/.f64 (.f64 x x) (.f64 y y)))
	58.7%	#s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (/.f64 x (*.f64 (/.f64 y x) y)))
▶	55.3%	#s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (*.f64 (/.f64 (/.f64 z t) t) z))
	59.0%	#s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (*.f64 (/.f64 (/.f64 x y) y) x))
✓	59.7%	#s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (*.f64 (/.f64 x y) (/.f64 x y)))
	59.8%	#s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 y x))))
✓	98.2%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t))))
	51.9%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 z) z) t) (neg.f64 t)))
✓	58.4%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
▶	56.9%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
✓	46.3%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z z) (.f64 t t)))
	55.1%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
	58.4%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z t) (.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z))))

Compiler

Compiled 257 to 247 computations (3.9% saved)

simplify283.0ms (2.7%)

Memory

-24.1MiB live, 185.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

21 988×	`lower-fma.f64`
21 988×	`lower-fma.f32`
3 972×	`lower-*.f32`
3 962×	`lower-*.f64`
2 500×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	232
0	53	223
1	100	220
2	197	220
3	503	214
4	1845	199
5	6162	196
0	8427	191

Stop Event

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

Calls

Call 1

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

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

localize109.0ms (1%)

Memory

12.4MiB live, 63.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x y)
accuracy	0.1171875	(*.f64 (/.f64 x y) x)
accuracy	4.118875973949094	(/.f64 (*.f64 (/.f64 x y) x) y)
accuracy	25.670787241934317	#s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (/.f64 (*.f64 (/.f64 x y) x) y))
accuracy	0	(/.f64 z t)
accuracy	0.140625	(/.f64 (/.f64 z t) t)
accuracy	3.582040522261951	(*.f64 (/.f64 (/.f64 z t) t) z)
accuracy	26.559360456733256	#s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (*.f64 (/.f64 (/.f64 z t) t) z))
accuracy	0	(/.f64 z t)
accuracy	0.15625	(*.f64 (/.f64 z t) z)
accuracy	3.4783739026503926	(/.f64 (*.f64 (/.f64 z t) z) t)
accuracy	26.559360456733256	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
accuracy	0	(*.f64 y y)
accuracy	0	(*.f64 x x)
accuracy	15.036632185817444	(/.f64 (.f64 x x) (.f64 y y))
accuracy	25.670787241934317	#s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (/.f64 (.f64 x x) (.f64 y y)))
accuracy	0	(/.f64 y x)
accuracy	0	(/.f64 x y)
accuracy	0.12109375	(/.f64 (/.f64 x y) (/.f64 y x))
accuracy	25.670787241934317	#s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (/.f64 (/.f64 x y) (/.f64 y x)))

Samples

92.0ms

256×

valid

Compiler

Compiled 194 to 34 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-mult: 59.0ms (76.1% of total)

ival-div: 14.0ms (18% of total)

ival-add: 2.0ms (2.6% of total)

ival-neg: 2.0ms (2.6% of total)

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

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

series78.0ms (0.7%)

Memory

-17.5MiB live, 57.1MiB allocated

Counts

18 → 528

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

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

Calls

12 calls:

Time	Variable		Point	Expression
26.0ms	t	@	0	((/ (/ x y) (/ y x)) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (/ x y) (/ y x) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (* x x) (* y y) (/ (* x x) (* y y)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* (/ z t) z) t) (* (/ z t) z) (/ z t) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (* (/ (/ z t) t) z) (/ (/ z t) t) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (/ (* (/ x y) x) y) (* (/ x y) x))
3.0ms	z	@	-inf	((/ (/ x y) (/ y x)) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (/ x y) (/ y x) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (* x x) (* y y) (/ (* x x) (* y y)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* (/ z t) z) t) (* (/ z t) z) (/ z t) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (* (/ (/ z t) t) z) (/ (/ z t) t) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (/ (* (/ x y) x) y) (* (/ x y) x))
3.0ms	x	@	-inf	((/ (/ x y) (/ y x)) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (/ x y) (/ y x) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (* x x) (* y y) (/ (* x x) (* y y)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* (/ z t) z) t) (* (/ z t) z) (/ z t) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (* (/ (/ z t) t) z) (/ (/ z t) t) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (/ (* (/ x y) x) y) (* (/ x y) x))
3.0ms	z	@	inf	((/ (/ x y) (/ y x)) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (/ x y) (/ y x) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (* x x) (* y y) (/ (* x x) (* y y)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* (/ z t) z) t) (* (/ z t) z) (/ z t) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (* (/ (/ z t) t) z) (/ (/ z t) t) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (/ (* (/ x y) x) y) (* (/ x y) x))
2.0ms	x	@	inf	((/ (/ x y) (/ y x)) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (/ x y) (/ y x) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (* x x) (* y y) (/ (* x x) (* y y)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* (/ z t) z) t) (* (/ z t) z) (/ z t) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (* (/ (/ z t) t) z) (/ (/ z t) t) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (/ (* (/ x y) x) y) (* (/ x y) x))

simplify276.0ms (2.6%)

Memory

6.7MiB live, 121.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 836×	`lower-fma.f64`
8 836×	`lower-fma.f32`
5 830×	`lower-*.f64`
5 830×	`lower-*.f32`
1 788×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	4728
1	66	4728
2	196	4728
3	838	4728
4	2845	4728
5	3951	4728
6	6263	4728
7	7745	4728
0	8049	4548

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 528

Calls

Call 1

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

rewrite394.0ms (3.8%)

Memory

19.3MiB live, 374.7MiB allocated

Rules

5 608×	`lower-/.f32`
5 592×	`lower-/.f64`
4 602×	`lower-fma.f64`
4 602×	`lower-fma.f32`
3 590×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	216
0	53	207
1	192	140
2	2523	140
0	8664	140

Stop Event

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

Counts

18 → 541

Calls

Call 1

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

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

eval123.0ms (1.2%)

Memory: 15.1MiB live, 326.3MiB allocated
Compiler: Compiled 12 934 to 1 328 computations (89.7% saved)

prune47.0ms (0.4%)

Memory

-3.2MiB live, 116.1MiB allocated

Pruning

17 alts after pruning (8 fresh and 9 done)

	Pruned	Kept	Total
New	1 165	5	1 170
Fresh	4	3	7
Picked	0	5	5
Done	0	4	4
Total	1 169	17	1 186

Accuracy

100.0%

Counts

1 186 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.9%	#s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (/.f64 (/.f64 (*.f64 x x) y) y))
	56.5%	#s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (/.f64 (/.f64 x (/.f64 y x)) y))
✓	59.8%	#s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (/.f64 (/.f64 x y) (/.f64 y x)))
✓	56.5%	#s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (/.f64 (*.f64 (/.f64 x y) x) y))
✓	47.5%	#s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (/.f64 (.f64 x x) (.f64 y y)))
	55.1%	#s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (/.f64 z (*.f64 (/.f64 t z) t)))
	58.7%	#s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (/.f64 x (*.f64 (/.f64 y x) y)))
✓	55.3%	#s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (*.f64 (/.f64 (/.f64 z t) t) z))
	59.0%	#s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (*.f64 (/.f64 (/.f64 x y) y) x))
	50.7%	#s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (.f64 (/.f64 z (.f64 t t)) z))
✓	59.7%	#s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (*.f64 (/.f64 x y) (/.f64 x y)))
✓	98.2%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t))))
	51.9%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t))
✓	58.4%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
✓	56.9%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
✓	46.3%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z z) (.f64 t t)))
	58.4%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z t) (.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z))))

Compiler

Compiled 631 to 269 computations (57.4% saved)

regimes144.0ms (1.4%)

Memory

-44.8MiB live, 290.9MiB allocated

Counts

40 → 1

Calls

Call 1

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

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

Calls

11 calls:

21.0ms	(*.f64 y y)
14.0ms	y
14.0ms	z
13.0ms	t
13.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
98.2%	1	`x`
98.2%	1	`y`
98.2%	1	`z`
98.2%	1	`t`
98.2%	1	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
98.2%	1	`(/.f64 (.f64 x x) (.f64 y y))`
98.2%	1	`(*.f64 x x)`
98.2%	1	`(*.f64 y y)`
98.2%	1	`(/.f64 (.f64 z z) (.f64 t t))`
98.2%	1	`(*.f64 z z)`
98.2%	1	`(*.f64 t t)`

Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes373.0ms (3.6%)

Memory

4.1MiB live, 203.6MiB 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 (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (.f64 (/.f64 z (.f64 t t)) z))
#s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (/.f64 (.f64 x x) (.f64 y y)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 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 y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t))
#s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (*.f64 (/.f64 x y) (/.f64 x y)))
#s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (*.f64 (/.f64 (/.f64 x y) y) x))
#s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (/.f64 x (*.f64 (/.f64 y x) y)))
#s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (/.f64 z (*.f64 (/.f64 t z) t)))
#s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (/.f64 (*.f64 (/.f64 x y) x) y))
#s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (/.f64 (/.f64 (*.f64 x x) y) y))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 z) z) t) (neg.f64 t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z #s(literal 1 binary64)) (.f64 t (/.f64 t z))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
#s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (/.f64 (/.f64 x y) (/.f64 y x)))
#s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (/.f64 (/.f64 x (/.f64 y x)) y))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z t) (.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z))))
(/.f64 #s(approx (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (.f64 (.f64 (neg.f64 x) t) x)) (.f64 (.f64 t (neg.f64 y)) y))
#s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 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))) (fma.f64 (/.f64 x (.f64 y y)) x (.f64 (/.f64 z t) (/.f64 z t))))
(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z)))
(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
(+.f64 (/.f64 (.f64 (/.f64 x y) x) y) (/.f64 (.f64 z z) (*.f64 t t)))

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

Calls

11 calls:

118.0ms	z
115.0ms	x
35.0ms	(/.f64 (.f64 x x) (.f64 y y))
35.0ms	(*.f64 y y)
18.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
91.6%	2	`x`
93.2%	2	`y`
95.5%	4	`z`
95.2%	4	`t`
89.9%	1	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
95.6%	2	`(/.f64 (.f64 x x) (.f64 y y))`
91.6%	2	`(*.f64 x x)`
93.2%	2	`(*.f64 y y)`
97.8%	2	`(/.f64 (.f64 z z) (.f64 t t))`
94.9%	4	`(*.f64 z z)`
93.3%	3	`(*.f64 t t)`

Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes14.0ms (0.1%)

Memory

22.5MiB live, 22.5MiB allocated

Counts

25 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
93.4%	2	`(/.f64 (.f64 x x) (.f64 y y))`
95.2%	2	`(/.f64 (.f64 z z) (.f64 t t))`

Compiler

Compiled 14 to 14 computations (0% saved)

regimes393.0ms (3.7%)

Memory

-6.4MiB live, 112.2MiB allocated

Counts

24 → 3

Calls

Call 1

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

Outputs

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

115.0ms	(/.f64 (.f64 z z) (.f64 t t))
112.0ms	z
110.0ms	x
8.0ms	t
7.0ms	y

Results

Accuracy	Segments	Branch
78.7%	3	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
86.8%	3	`(*.f64 x x)`
86.8%	3	`x`
82.6%	3	`(*.f64 t t)`
82.9%	3	`(*.f64 z z)`
82.6%	3	`t`
82.9%	3	`z`
80.3%	3	`y`
80.3%	3	`(*.f64 y y)`
87.8%	3	`(/.f64 (.f64 x x) (.f64 y y))`
89.5%	3	`(/.f64 (.f64 z z) (.f64 t t))`

Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes130.0ms (1.2%)

Memory

-18.4MiB live, 20.8MiB allocated

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

122.0ms	(/.f64 (.f64 x x) (.f64 y y))
6.0ms	(/.f64 (.f64 z z) (.f64 t t))

Results

Accuracy	Segments	Branch
85.4%	2	`(/.f64 (.f64 x x) (.f64 y y))`
86.3%	2	`(/.f64 (.f64 z z) (.f64 t t))`

Compiler

Compiled 14 to 14 computations (0% saved)

regimes6.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

20 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
86.3%	2	`(/.f64 (.f64 z z) (.f64 t t))`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes6.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

18 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
86.2%	2	`(/.f64 (.f64 z z) (.f64 t t))`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes6.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

17 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
86.2%	2	`(/.f64 (.f64 z z) (.f64 t t))`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes26.0ms (0.2%)

Memory

-22.7MiB live, 15.9MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs
#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)))

Calls

4 calls:

17.0ms	x
3.0ms	(*.f64 x x)
3.0ms	(/.f64 (.f64 x x) (.f64 y y))
3.0ms	(/.f64 (.f64 z z) (.f64 t t))

Results

Accuracy	Segments	Branch
81.1%	2	`(*.f64 x x)`
81.1%	2	`x`
84.6%	2	`(/.f64 (.f64 x x) (.f64 y y))`
84.7%	2	`(/.f64 (.f64 z z) (.f64 t t))`

Compiler

Compiled 18 to 23 computations (-27.8% saved)

regimes21.0ms (0.2%)

Memory

29.2MiB live, 29.2MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
72.5%	4	`y`
72.5%	4	`(*.f64 y y)`
65.2%	2	`t`
64.9%	2	`(*.f64 t t)`
75.4%	2	`x`
75.4%	2	`(*.f64 x x)`
67.1%	2	`z`
67.1%	2	`(*.f64 z z)`
80.2%	3	`(/.f64 (.f64 x x) (.f64 y y))`
73.8%	2	`(/.f64 (.f64 z z) (.f64 t t))`

Compiler

Compiled 30 to 50 computations (-66.7% saved)

regimes24.0ms (0.2%)

Memory

-29.0MiB live, 13.5MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

5 calls:

17.0ms	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
2.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(/.f64 (.f64 z z) (.f64 t t))
2.0ms	(/.f64 (.f64 x x) (.f64 y y))

Results

Accuracy	Segments	Branch
69.9%	3	`(/.f64 (.f64 z z) (.f64 t t))`
68.3%	2	`x`
68.3%	2	`(*.f64 x x)`
52.5%	2	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
72.2%	3	`(/.f64 (.f64 x x) (.f64 y y))`

Compiler

Compiled 33 to 34 computations (-3% saved)

regimes17.0ms (0.2%)

Memory

25.5MiB live, 25.5MiB 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 (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (*.f64 (/.f64 z (*.f64 t t)) z))

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

Calls

11 calls:

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

Results

Accuracy	Segments	Branch
50.7%	1	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
50.7%	1	`(*.f64 t t)`
50.7%	1	`t`
50.7%	1	`z`
50.7%	1	`(*.f64 z z)`
50.7%	1	`x`
50.7%	1	`(*.f64 x x)`
50.7%	1	`(/.f64 (.f64 z z) (.f64 t t))`
50.7%	1	`y`
50.7%	1	`(*.f64 y y)`
50.7%	1	`(/.f64 (.f64 x x) (.f64 y y))`

Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes43.0ms (0.4%)

Memory

-15.3MiB live, 23.1MiB 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:

31.0ms	(/.f64 (.f64 z z) (.f64 t t))
1.0ms	x
1.0ms	z
1.0ms	t
1.0ms	y

Results

Accuracy	Segments	Branch
46.3%	1	`(/.f64 (.f64 x x) (.f64 y y))`
46.3%	1	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
46.3%	1	`x`
46.3%	1	`y`
46.3%	1	`z`
46.3%	1	`t`
46.3%	1	`(*.f64 x x)`
46.3%	1	`(*.f64 y y)`
46.3%	1	`(/.f64 (.f64 z z) (.f64 t t))`
46.3%	1	`(*.f64 z z)`
46.3%	1	`(*.f64 t t)`

Compiler

Compiled 45 to 61 computations (-35.6% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.6819387747054546e+290	+inf

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	9e-323

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.6819387747054546e+290	+inf
0.0ms	0.0	9e-323

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.9069754019418306e+101	4.893836135765964e+137

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.9069754019418306e+101	4.893836135765964e+137

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.9069754019418306e+101	4.893836135765964e+137

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.9069754019418306e+101	4.893836135765964e+137

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.9069754019418306e+101	4.893836135765964e+137

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch38.0ms (0.4%)

Memory

-7.1MiB live, 31.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-failed
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	+inf	NaN
12.0ms	2.2036994148827863e-93	3.462749489287997e-85

Samples

22.0ms	101×	0	invalid
7.0ms	144×	0	valid

Compiler

Compiled 108 to 144 computations (-33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 3.0ms (51.5% of total)

ival-div: 1.0ms (17.2% of total)

ival-add: 1.0ms (17.2% of total)

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

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

bsearch9.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-failed
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	+inf	NaN
1.0ms	2.2036994148827863e-93	3.462749489287997e-85

Samples

5.0ms

101×

invalid

Compiler

Compiled 108 to 153 computations (-41.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (43.3% of total)

ival-mult: 1.0ms (43.3% of total)

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

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

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

simplify62.0ms (0.6%)

Memory

-27.9MiB live, 55.4MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`-commutative-binary64-.f64`
18×	`+-commutative-binary64-+.f64`
16×	`neg-sub0-binary64--.f64-neg.f64`
16×	`neg-mul-1-binary64-*.f64-neg.f64`
14×	`sub-neg-binary64-neg.f64-+.f64--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	835
1	97	835
2	109	835
3	126	835
4	139	835
5	146	835
6	149	835

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 200000000000000012345566705573431377398874462192602251662010570107762675307934311788507834188892959338862091690298252262069181570867912343476423070733974457108518204218323764372269486067627507254546771920492554489989692515780696061630802248473408403824265151663702610072177901842265203015680 binary64)) (+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 z z) (.f64 t t))) #s(approx (+ (/ ( x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 x (.f64 y y)) x (.f64 (/.f64 z t) (/.f64 z t)))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 0 binary64)) #s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (/.f64 (/.f64 x y) (/.f64 y x))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 x (.f64 y y)) x (.f64 (/.f64 z t) (/.f64 z t)))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 0 binary64)) #s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (/.f64 (/.f64 x y) (/.f64 y x))) (if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 200000000000000012345566705573431377398874462192602251662010570107762675307934311788507834188892959338862091690298252262069181570867912343476423070733974457108518204218323764372269486067627507254546771920492554489989692515780696061630802248473408403824265151663702610072177901842265203015680 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 499999999999999988524756632622668314223421359962075003064997987365996726090394955651630647240755773440 binary64)) #s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (/.f64 (/.f64 x y) (/.f64 y x))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z t) (.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z)))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 499999999999999988524756632622668314223421359962075003064997987365996726090394955651630647240755773440 binary64)) #s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (/.f64 (/.f64 x y) (/.f64 y x))) #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 499999999999999988524756632622668314223421359962075003064997987365996726090394955651630647240755773440 binary64)) #s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (.f64 (/.f64 x y) (/.f64 x y))) #s(approx (+ (/ ( x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 499999999999999988524756632622668314223421359962075003064997987365996726090394955651630647240755773440 binary64)) #s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (.f64 (/.f64 x y) (/.f64 x y))) #s(approx (+ (/ ( x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 499999999999999988524756632622668314223421359962075003064997987365996726090394955651630647240755773440 binary64)) #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))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 4013622577982625/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z t) (/.f64 z t))) (if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal +inf.0 binary64)) #s(approx (/ (+ ( (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (/.f64 (.f64 x x) (.f64 y y))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 7740557828966491/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) #s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (.f64 (/.f64 z (.f64 t t)) z)) (if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal +inf.0 binary64)) #s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (/.f64 (.f64 x x) (.f64 y y))) #s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (.f64 (/.f64 z (.f64 t t)) z))))
#s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (.f64 (/.f64 z (.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z z) (.f64 t t)))

Outputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 200000000000000012345566705573431377398874462192602251662010570107762675307934311788507834188892959338862091690298252262069181570867912343476423070733974457108518204218323764372269486067627507254546771920492554489989692515780696061630802248473408403824265151663702610072177901842265203015680 binary64)) (+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 z z) (.f64 t t))) #s(approx (+ (/ ( x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 x (.f64 y y)) x (.f64 (/.f64 z t) (/.f64 z t)))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 0 binary64)) #s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (/.f64 (/.f64 x y) (/.f64 y x))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 x (.f64 y y)) x (.f64 (/.f64 z t) (/.f64 z t)))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 0 binary64)) #s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (/.f64 (/.f64 x y) (/.f64 y x))) (if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 200000000000000012345566705573431377398874462192602251662010570107762675307934311788507834188892959338862091690298252262069181570867912343476423070733974457108518204218323764372269486067627507254546771920492554489989692515780696061630802248473408403824265151663702610072177901842265203015680 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 499999999999999988524756632622668314223421359962075003064997987365996726090394955651630647240755773440 binary64)) #s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (/.f64 (/.f64 x y) (/.f64 y x))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z t) (.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z)))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 499999999999999988524756632622668314223421359962075003064997987365996726090394955651630647240755773440 binary64)) #s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (/.f64 (/.f64 x y) (/.f64 y x))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 (neg.f64 z) t) (.f64 (/.f64 #s(literal -1 binary64) t) z))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 499999999999999988524756632622668314223421359962075003064997987365996726090394955651630647240755773440 binary64)) #s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (/.f64 (/.f64 x y) (/.f64 y x))) #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 499999999999999988524756632622668314223421359962075003064997987365996726090394955651630647240755773440 binary64)) #s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (.f64 (/.f64 x y) (/.f64 x y))) #s(approx (+ (/ ( x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 499999999999999988524756632622668314223421359962075003064997987365996726090394955651630647240755773440 binary64)) #s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (.f64 (/.f64 x y) (/.f64 x y))) #s(approx (+ (/ ( x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 499999999999999988524756632622668314223421359962075003064997987365996726090394955651630647240755773440 binary64)) #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))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 4013622577982625/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z t) (/.f64 z t))) (if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal +inf.0 binary64)) #s(approx (/ (+ ( (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (/.f64 (.f64 x x) (.f64 y y))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 7740557828966491/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) #s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (.f64 (/.f64 z (.f64 t t)) z)) (if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal +inf.0 binary64)) #s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (/.f64 (.f64 x x) (.f64 y y))) #s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (.f64 (/.f64 z (.f64 t t)) z))))
#s(approx (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (.f64 (/.f64 z (.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z z) (.f64 t t)))

soundness1.3s (12.8%)

Memory

13.8MiB live, 999.5MiB allocated

Rules

11 290×	`lower-fma.f64`
11 290×	`lower-fma.f32`
9 376×	`lower-fma.f64`
9 376×	`lower-fma.f32`
9 024×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	1128
1	60	1128
2	192	1128
3	823	1128
4	2853	1128
5	3973	1128
6	6262	1128
7	7756	1128
0	8060	1092
0	11	41
0	18	41
1	69	33
2	813	33
0	8377	33
0	41	216
0	53	207
1	192	140
2	2523	140
0	8664	140
0	68	6336
1	204	6300
2	693	6300
3	3706	6234
4	5484	6234
0	8125	5982
0	40	212
0	67	171
1	252	160
2	2199	160
0	8558	160
0	45	215
0	63	175
1	252	162
2	3237	162
0	8646	162

Stop Event

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

Compiler

Compiled 865 to 450 computations (48% saved)

preprocess170.0ms (1.6%)

Memory

5.0MiB live, 286.7MiB allocated

Remove

(abs x)

(abs y)

(abs z)

(abs t)

Compiler

Compiled 924 to 260 computations (71.9% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

start0.0ms (0%)

analyze150.0ms (1.4%)

sample1.0s (9.5%)

explain354.0ms (3.4%)

preprocess262.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize129.0ms (1.2%)

series56.0ms (0.5%)

simplify179.0ms (1.7%)

rewrite290.0ms (2.8%)

eval352.0ms (3.4%)

prune35.0ms (0.3%)

simplify221.0ms (2.1%)

localize125.0ms (1.2%)

series140.0ms (1.3%)

simplify703.0ms (6.7%)

rewrite309.0ms (2.9%)

eval520.0ms (5%)

prune116.0ms (1.1%)

simplify208.0ms (2%)

localize93.0ms (0.9%)

series75.0ms (0.7%)

simplify241.0ms (2.3%)

rewrite300.0ms (2.9%)

eval382.0ms (3.6%)

prune93.0ms (0.9%)

simplify283.0ms (2.7%)

localize109.0ms (1%)

series78.0ms (0.7%)

simplify276.0ms (2.6%)

rewrite394.0ms (3.8%)

eval123.0ms (1.2%)

prune47.0ms (0.4%)

regimes144.0ms (1.4%)

regimes373.0ms (3.6%)

regimes14.0ms (0.1%)

regimes393.0ms (3.7%)

regimes130.0ms (1.2%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes26.0ms (0.2%)

regimes21.0ms (0.2%)

regimes24.0ms (0.2%)

regimes17.0ms (0.2%)

regimes43.0ms (0.4%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch38.0ms (0.4%)

bsearch9.0ms (0.1%)

simplify62.0ms (0.6%)

soundness1.3s (12.8%)

preprocess170.0ms (1.6%)

end0.0ms (0%)

Profiling