Metrics for Linear.Quaternion:$c/ from linear-1.19.1.3, A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 17 to 10 computations (41.2% saved)

sample974.0ms (8.1%)

Memory

-14.1MiB live, 1 024.2MiB allocated

Samples

697.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 484.0ms

ival-add: 275.0ms (56.8% of total)

ival-mult: 200.0ms (41.3% of total)

ival-true: 5.0ms (1% of total)

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

Bogosity

explain194.0ms (1.6%)

Memory

-5.2MiB live, 196.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
6	-	-	`(+.f64 (.f64 x y) (.f64 z z))`
0	-	-	`y`
0	-	-	`(*.f64 z z)`
0	-	-	`z`
0	-	-	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
0	-	-	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`
0	-	-	`(*.f64 x y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x y) (.f64 z z))`	nan-rescue	6	0
↳	`(*.f64 x y)`	overflow	36
↳	`(*.f64 z z)`	overflow	57

Confusion

	Predicted +	Predicted -
+	6	0
-	0	250

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	6	0	0
-	0	0	250

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	250
1	6

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms

512×

valid

Compiler

Compiled 106 to 28 computations (73.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 10.0ms (59.4% of total)

ival-add: 6.0ms (35.7% of total)

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

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

preprocess66.0ms (0.5%)

Memory

3.0MiB live, 41.9MiB allocated

Algorithm

1×	egg-herbie

Rules

726×	`unsub-neg`
312×	`sub-neg`
286×	`associate-+l-`
256×	`cancel-sign-sub`
210×	`distribute-lft-neg-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	142
1	104	120
2	235	82
3	602	81
4	1131	81
5	1497	81
6	2068	81
7	2586	81
8	2644	81
9	2644	81
0	8	15
0	13	15
1	20	13
2	30	9
3	42	9
4	50	9
5	53	9
0	53	8

Stop Event

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

Calls

Call 1

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

Outputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))

Symmetry

(abs z)

(sort x y)

Compiler

Compiled 18 to 8 computations (55.6% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.6%	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Compiler

Compiled 18 to 8 computations (55.6% saved)

simplify5.0ms (0%)

Memory

8.1MiB live, 8.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x y)
cost-diff	128	(+.f64 (.f64 x y) (.f64 z z))
cost-diff	320	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
cost-diff	384	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Rules

58×	`lower-fma.f64`
58×	`lower-fma.f32`
36×	`lower-+.f32`
30×	`lower-+.f64`
30×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	42
0	13	42
1	20	38
2	30	34
3	42	34
4	50	34
5	53	34
0	53	31

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
(fma.f64 (+.f64 z z) z (*.f64 y x))
(+.f64 (.f64 x y) (.f64 z z))
(fma.f64 z z (*.f64 y x))
(*.f64 x y)
(*.f64 y x)
x
y
(*.f64 z z)
z

localize21.0ms (0.2%)

Memory

2.5MiB live, 41.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z z)
accuracy	0	(*.f64 x y)
accuracy	0.0546875	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
accuracy	1.1992187500000002	(+.f64 (.f64 x y) (.f64 z z))

Samples

15.0ms

256×

valid

Compiler

Compiled 44 to 10 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-add: 3.0ms (45.7% of total)

ival-mult: 3.0ms (45.7% of total)

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

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

series67.0ms (0.6%)

Memory

-20.5MiB live, 18.3MiB allocated

Counts

5 → 144

Calls

Call 1

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

Outputs
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.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) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow z 2)) (taylor inf z) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.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) (taylor inf z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow z 2)) (taylor -inf z) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor -inf z) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.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) (taylor -inf z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (pow z 2)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow z 2)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 y) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 y) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 y) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 y) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* 2 (/ (pow z 2) y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* 2 (/ (pow z 2) y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* 2 (/ (pow z 2) y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (pow z 2) y))) (taylor inf y) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (pow z 2) y))) (taylor inf y) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (pow z 2) y))) (taylor inf y) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) (taylor -inf y) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) (taylor -inf y) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) (taylor -inf y) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (pow z 2)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow z 2)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 x) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 x) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 x) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 x) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* 2 (/ (pow z 2) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* 2 (/ (pow z 2) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* 2 (/ (pow z 2) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ (pow z 2) x))) (taylor inf x) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ (pow z 2) x))) (taylor inf x) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ (pow z 2) x))) (taylor inf x) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<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 (* x y) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
57.0ms	x	@	0	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* x y) (* z z)) (* x y) (* z z))
1.0ms	x	@	-inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* x y) (* z z)) (* x y) (* z z))
1.0ms	y	@	0	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* x y) (* z z)) (* x y) (* z z))
1.0ms	z	@	inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* x y) (* z z)) (* x y) (* z z))
1.0ms	y	@	-inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* x y) (* z z)) (* x y) (* z z))

simplify250.0ms (2.1%)

Memory

11.8MiB live, 108.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 096×	`lower-fma.f64`
8 096×	`lower-fma.f32`
3 860×	`lower-*.f64`
3 860×	`lower-*.f32`
940×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	880
1	244	880
2	750	880
3	2131	880
4	5841	880
0	8161	799

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(* x y)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* 2 (pow z 2))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* x y)
(* y (+ x (* 2 (/ (pow z 2) y))))
(* y (+ x (* 2 (/ (pow z 2) y))))
(* y (+ x (* 2 (/ (pow z 2) y))))
(* x y)
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* x y)
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* x y)
(* x y)
(* x y)
(* x y)
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* 2 (pow z 2))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x y)
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x y)
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* x y)
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* x y)
(* x y)
(* x y)
(* x y)

Outputs
(* x y)
(*.f64 y x)
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))
(* x y)
(*.f64 y x)
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 y x))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 y x))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 y x))
(* x y)
(*.f64 y x)
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))
(* 2 (pow z 2))
(.f64 (.f64 z z) #s(literal 2 binary64))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 y x))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 y x))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 y x))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (*.f64 y x))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (*.f64 y x))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (*.f64 y x))
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))
(* 2 (pow z 2))
(.f64 (.f64 z z) #s(literal 2 binary64))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 y x))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 y x))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 y x))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (*.f64 y x))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (*.f64 y x))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (*.f64 y x))
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(+ (* 2 (pow z 2)) (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))
(* 2 (pow z 2))
(.f64 (.f64 z z) #s(literal 2 binary64))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 y x))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 y x))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 y x))
(pow z 2)
(*.f64 z z)
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))
(* x y)
(*.f64 y x)
(* y (+ x (* 2 (/ (pow z 2) y))))
(fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 y x))
(* y (+ x (* 2 (/ (pow z 2) y))))
(fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 y x))
(* y (+ x (* 2 (/ (pow z 2) y))))
(fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 y x))
(* x y)
(*.f64 y x)
(* y (+ x (/ (pow z 2) y)))
(fma.f64 z z (*.f64 y x))
(* y (+ x (/ (pow z 2) y)))
(fma.f64 z z (*.f64 y x))
(* y (+ x (/ (pow z 2) y)))
(fma.f64 z z (*.f64 y x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 y x))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 y x))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 y x))
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(fma.f64 z z (*.f64 y x))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(fma.f64 z z (*.f64 y x))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(fma.f64 z z (*.f64 y x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(+ (* 2 (pow z 2)) (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))
(* 2 (pow z 2))
(.f64 (.f64 z z) #s(literal 2 binary64))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 y x))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 y x))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 y x))
(pow z 2)
(*.f64 z z)
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))
(* x y)
(*.f64 y x)
(* x (+ y (* 2 (/ (pow z 2) x))))
(fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 y x))
(* x (+ y (* 2 (/ (pow z 2) x))))
(fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 y x))
(* x (+ y (* 2 (/ (pow z 2) x))))
(fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 y x))
(* x y)
(*.f64 y x)
(* x (+ y (/ (pow z 2) x)))
(fma.f64 z z (*.f64 y x))
(* x (+ y (/ (pow z 2) x)))
(fma.f64 z z (*.f64 y x))
(* x (+ y (/ (pow z 2) x)))
(fma.f64 z z (*.f64 y x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 y x))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 y x))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 y x))
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 z z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 z z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 z z (*.f64 y x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)

rewrite277.0ms (2.3%)

Memory

13.4MiB live, 319.9MiB allocated

Rules

10 458×	`lower-fma.f64`
10 458×	`lower-fma.f32`
4 638×	`lower-*.f32`
4 634×	`lower-*.f64`
3 250×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	39
0	13	39
1	55	35
2	517	29
3	7580	29
0	8184	26

Stop Event

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

Counts

5 → 330

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))) (.f64 (fma.f64 (fma.f64 (+.f64 z z) z (.f64 y x)) (fma.f64 (+.f64 z z) z (.f64 y x)) (.f64 (.f64 z z) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)))) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))))) (fma.f64 (fma.f64 (+.f64 z z) z (.f64 y x)) (fma.f64 (+.f64 z z) z (.f64 y x)) (.f64 (.f64 z z) (fma.f64 #s(literal 3 binary64) (.f64 z z) (*.f64 y x)))))
(.f64 (/.f64 (.f64 (fma.f64 (fma.f64 (+.f64 z z) z (.f64 y x)) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (.f64 (.f64 (.f64 z z) z) z)) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))) (.f64 (fma.f64 (fma.f64 (+.f64 z z) z (.f64 y x)) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (.f64 (.f64 (.f64 z z) z) z)) (fma.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 (+.f64 z z) z (.f64 y x)) (.f64 z z))))) (fma.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 (+.f64 z z) z (.f64 y x)) (*.f64 z z))))
(.f64 (/.f64 (.f64 (fma.f64 (fma.f64 (+.f64 z z) z (.f64 y x)) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (.f64 (.f64 (.f64 z z) z) z)) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (+.f64 z z) z (.f64 y x)) (fma.f64 (+.f64 z z) z (.f64 y x))) (fma.f64 (+.f64 z z) z (.f64 y x))) (.f64 (fma.f64 (+.f64 z z) z (.f64 y x)) (fma.f64 (+.f64 z z) z (.f64 y x)))) (fma.f64 (+.f64 z z) z (.f64 y x)) (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 z z (.f64 y x)) z) (neg.f64 z)) (.f64 z z)) (neg.f64 (fma.f64 z z (.f64 y x)))) (.f64 (.f64 (fma.f64 z z (.f64 y x)) z) (neg.f64 z))))) (fma.f64 (.f64 (.f64 (fma.f64 z z (.f64 y x)) z) (neg.f64 z)) (-.f64 (.f64 (.f64 (fma.f64 z z (.f64 y x)) z) (neg.f64 z)) (.f64 (fma.f64 (+.f64 z z) z (.f64 y x)) (fma.f64 (+.f64 z z) z (.f64 y x)))) (.f64 (.f64 (fma.f64 (+.f64 z z) z (.f64 y x)) (fma.f64 (+.f64 z z) z (.f64 y x))) (.f64 (fma.f64 (+.f64 z z) z (.f64 y x)) (fma.f64 (+.f64 z z) z (*.f64 y x))))))
(.f64 (/.f64 (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)))) (fma.f64 #s(literal 3 binary64) (.f64 z z) (*.f64 y x)))
(.f64 (.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (-.f64 (fma.f64 y x #s(literal 0 binary64)) (.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y x #s(literal 0 binary64)) (.f64 z z))))
(.f64 (.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (neg.f64 (fma.f64 z z (.f64 y x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z z (.f64 y x)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (+.f64 z z) z (.f64 y x)) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (.f64 (.f64 (.f64 z z) z) z))) (.f64 (fma.f64 (fma.f64 (+.f64 z z) z (.f64 y x)) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (.f64 (.f64 (.f64 z z) z) z)) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))))
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(*.f64 y x)
(*.f64 x y)
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)))
(*.f64 z z)
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(pow.f64 z #s(literal 2 binary64))
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eval206.0ms (1.7%)

Memory: -15.0MiB live, 101.7MiB allocated
Compiler: Compiled 17 352 to 1 049 computations (94% saved)

prune181.0ms (1.5%)

Memory

-7.4MiB live, 107.6MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	501	9	510
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	502	9	511

Accuracy

100.0%

Counts

511 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.6%	(fma.f64 (+.f64 z z) z (fma.f64 z z (*.f64 y x)))
	19.8%	(fma.f64 (.f64 (.f64 (.f64 (.f64 z z) z) z) (.f64 (+.f64 z z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) (.f64 z z) #s(literal 0 binary64))) (fma.f64 z z (.f64 y x)))
▶	99.9%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
	97.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))))
▶	77.2%	(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z))
▶	63.1%	(.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))))))
	97.5%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x)))
	51.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
▶	55.2%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Compiler

Compiled 282 to 154 computations (45.4% saved)

simplify343.0ms (2.9%)

Memory

-4.2MiB live, 253.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
cost-diff	64	(fma.f64 y x #s(literal 0 binary64))
cost-diff	320	(.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))))))
cost-diff	2432	(*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))))
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 z z (*.f64 y x))
cost-diff	0	(+.f64 z z)
cost-diff	256	(fma.f64 (+.f64 z z) z (fma.f64 z z (*.f64 y x)))
cost-diff	0	(*.f64 z z)
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x))
cost-diff	128	(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
cost-diff	0	(*.f64 z z)
cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 z z))
cost-diff	0	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))

Rules

17 120×	`lower-fma.f32`
17 110×	`lower-fma.f64`
5 358×	`lower-*.f32`
5 350×	`lower-*.f64`
2 196×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	196
0	44	153
1	84	148
2	146	145
3	353	145
4	1506	145
5	3992	145
6	4767	145
7	5397	145
8	5692	145
9	5763	145
10	5783	145
11	6629	145
12	7025	145
0	8049	142

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
y
x
(.f64 #s(literal 3 binary64) (.f64 z z))
#s(literal 3 binary64)
(*.f64 z z)
z
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
(*.f64 y x)
y
x
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z))
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x))
(*.f64 y x)
y
x
(*.f64 z z)
z
(fma.f64 (+.f64 z z) z (fma.f64 z z (*.f64 y x)))
(+.f64 z z)
z
(fma.f64 z z (*.f64 y x))
(*.f64 y x)
y
x
(.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))))))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
#s(literal 3 binary64)
(*.f64 z z)
z
(*.f64 y x)
y
x
(*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))))
(fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))
(fma.f64 y x #s(literal 0 binary64))
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))))
#s(literal 1 binary64)

Outputs
(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 x y))
y
x
(.f64 #s(literal 3 binary64) (.f64 z z))
(.f64 (.f64 z z) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 z z)
z
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
y
x
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z))
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
y
x
(*.f64 z z)
z
(fma.f64 (+.f64 z z) z (fma.f64 z z (*.f64 y x)))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 x y))
(+.f64 z z)
z
(fma.f64 z z (*.f64 y x))
(fma.f64 z z (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
y
x
(.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))))))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 x y))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 x y))
#s(literal 3 binary64)
(*.f64 z z)
z
(*.f64 y x)
(*.f64 x y)
y
x
(*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))))
#s(literal 1 binary64)
(fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))
(fma.f64 z z (*.f64 x y))
(fma.f64 y x #s(literal 0 binary64))
(*.f64 x y)
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x y)))
#s(literal 1 binary64)

localize92.0ms (0.8%)

Memory

7.4MiB live, 159.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.4860489216620581	(/.f64 #s(literal 1 binary64) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))))
accuracy	1.2539062500000002	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
accuracy	1.5038897356333614	(fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))
accuracy	22.926026093523454	(*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))))
accuracy	0	(+.f64 z z)
accuracy	0	(*.f64 y x)
accuracy	0.03125	(fma.f64 (+.f64 z z) z (fma.f64 z z (*.f64 y x)))
accuracy	1.5038897356333614	(fma.f64 z z (*.f64 y x))
accuracy	0	(*.f64 z z)
accuracy	0	(*.f64 y x)
accuracy	0.0546875	(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z))
accuracy	28.634512591025864	#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x))
accuracy	0	(*.f64 y x)
accuracy	28.642153315003572	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
accuracy	0	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
accuracy	0	(*.f64 z z)
accuracy	0.16796875	(.f64 #s(literal 3 binary64) (.f64 z z))

Samples

73.0ms

256×

valid

Compiler

Compiled 205 to 26 computations (87.3% saved)

Precisions

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

ival-add: 38.0ms (67.6% of total)

ival-mult: 10.0ms (17.8% of total)

ival-div: 8.0ms (14.2% of total)

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

exact: 0.0ms (0% of total)

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

series29.0ms (0.2%)

Memory

-6.2MiB live, 69.9MiB allocated

Counts

16 → 480

Calls

Call 1

Inputs
#s(alt (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))) (patch (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 3 binary64) (.f64 z z)) (patch (.f64 #s(literal 3 binary64) (.f64 z z)) #<representation binary64>) () ())
#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) (patch #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z)) (patch (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z)) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (patch #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 z z) z (fma.f64 z z (.f64 y x))) (patch (fma.f64 (+.f64 z z) z (fma.f64 z z (.f64 y x))) #<representation binary64>) () ())
#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ())
#s(alt (fma.f64 z z (.f64 y x)) (patch (fma.f64 z z (.f64 y x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))))) (patch (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))))) (patch (.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))))) #<representation binary64>) () ())
#s(alt (fma.f64 y x #s(literal 0 binary64)) (patch (fma.f64 y x #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) #<representation binary64>) () ())
#s(alt (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (patch (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))) #<representation binary64>) () ())

Outputs
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))) (patch (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))) (patch (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))) (patch (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))) (patch (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (.f64 #s(literal 3 binary64) (.f64 z z)) (patch (.f64 #s(literal 3 binary64) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (.f64 #s(literal 3 binary64) (.f64 z z)) (patch (.f64 #s(literal 3 binary64) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (.f64 #s(literal 3 binary64) (.f64 z z)) (patch (.f64 #s(literal 3 binary64) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (.f64 #s(literal 3 binary64) (.f64 z z)) (patch (.f64 #s(literal 3 binary64) (.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) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) (patch #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) (patch #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) (patch #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) (patch #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z)) (patch (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z)) (patch (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z)) (patch (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z)) (patch (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (patch #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (patch #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (patch #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (patch #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 (+.f64 z z) z (fma.f64 z z (.f64 y x))) (patch (fma.f64 (+.f64 z z) z (fma.f64 z z (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 (+.f64 z z) z (fma.f64 z z (.f64 y x))) (patch (fma.f64 (+.f64 z z) z (fma.f64 z z (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 (+.f64 z z) z (fma.f64 z z (.f64 y x))) (patch (fma.f64 (+.f64 z z) z (fma.f64 z z (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 (+.f64 z z) z (fma.f64 z z (.f64 y x))) (patch (fma.f64 (+.f64 z z) z (fma.f64 z z (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* 2 z) (taylor 0 z) (#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ())) ())
#s(alt (* 2 z) (taylor 0 z) (#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ())) ())
#s(alt (* 2 z) (taylor 0 z) (#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ())) ())
#s(alt (* 2 z) (taylor 0 z) (#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 z z (.f64 y x)) (patch (fma.f64 z z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 z z (.f64 y x)) (patch (fma.f64 z z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 z z (.f64 y x)) (patch (fma.f64 z z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 z z (.f64 y x)) (patch (fma.f64 z z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))))) (patch (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))))) (patch (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) (* x (pow y 4))) (/ (pow z 4) (pow y 3))) x)) (/ (pow z 2) (pow y 2))) x)) (/ 1 y)) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	((+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* (+ z z) z) (+ (* z z) (* y x))) (+ z z) (+ (* z z) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (/ 1 (+ (* z z) (+ (* y x) 0)))) (* (+ (* 3 (* z z)) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (/ 1 (+ (* z z) (+ (* y x) 0))))) (+ (* y x) 0) (+ (* 3 (* z z)) (* y x)) (+ (* z z) (+ (* y x) 0)) (/ 1 (+ (* z z) (+ (* y x) 0))))
2.0ms	x	@	-inf	((+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* (+ z z) z) (+ (* z z) (* y x))) (+ z z) (+ (* z z) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (/ 1 (+ (* z z) (+ (* y x) 0)))) (* (+ (* 3 (* z z)) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (/ 1 (+ (* z z) (+ (* y x) 0))))) (+ (* y x) 0) (+ (* 3 (* z z)) (* y x)) (+ (* z z) (+ (* y x) 0)) (/ 1 (+ (* z z) (+ (* y x) 0))))
2.0ms	z	@	inf	((+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* (+ z z) z) (+ (* z z) (* y x))) (+ z z) (+ (* z z) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (/ 1 (+ (* z z) (+ (* y x) 0)))) (* (+ (* 3 (* z z)) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (/ 1 (+ (* z z) (+ (* y x) 0))))) (+ (* y x) 0) (+ (* 3 (* z z)) (* y x)) (+ (* z z) (+ (* y x) 0)) (/ 1 (+ (* z z) (+ (* y x) 0))))
1.0ms	z	@	0	((+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* (+ z z) z) (+ (* z z) (* y x))) (+ z z) (+ (* z z) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (/ 1 (+ (* z z) (+ (* y x) 0)))) (* (+ (* 3 (* z z)) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (/ 1 (+ (* z z) (+ (* y x) 0))))) (+ (* y x) 0) (+ (* 3 (* z z)) (* y x)) (+ (* z z) (+ (* y x) 0)) (/ 1 (+ (* z z) (+ (* y x) 0))))
1.0ms	z	@	-inf	((+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* (+ z z) z) (+ (* z z) (* y x))) (+ z z) (+ (* z z) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (/ 1 (+ (* z z) (+ (* y x) 0)))) (* (+ (* 3 (* z z)) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (/ 1 (+ (* z z) (+ (* y x) 0))))) (+ (* y x) 0) (+ (* 3 (* z z)) (* y x)) (+ (* z z) (+ (* y x) 0)) (/ 1 (+ (* z z) (+ (* y x) 0))))

simplify261.0ms (2.2%)

Memory

-7.6MiB live, 213.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 550×	`lower-fma.f64`
11 550×	`lower-fma.f32`
5 828×	`lower-*.f64`
5 828×	`lower-*.f32`
3 484×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	250	3930
1	782	3898
2	2323	3858
3	7970	3846
0	9167	3590

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 480

Calls

Call 1

Inputs
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* x y)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
1
1
1
1
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* (pow x 3) (pow y 3))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* (pow x 4) (pow y 4)))) (/ 1 (* (pow x 3) (pow y 3))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y)))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
1
1
1
1
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(/ 1 (pow z 2))
(/ (+ 1 (* -1 (/ (* x y) (pow z 2)))) (pow z 2))
(/ (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (/ (* x y) (pow z 2))) (pow z 2))
(/ (- (+ 1 (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (/ (* x y) (pow z 2)))) (pow z 2))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
1
1
1
1
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(/ 1 (pow z 2))
(/ (+ 1 (* -1 (/ (* x y) (pow z 2)))) (pow z 2))
(/ (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (/ (* x y) (pow z 2))) (pow z 2))
(/ (- (+ 1 (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (/ (* x y) (pow z 2)))) (pow z 2))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* x y)
(* x y)
(* x y)
(* x y)
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* 2 (pow z 2))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
1
1
1
1
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(/ 1 (pow z 2))
(+ (* -1 (/ (* x y) (pow z 4))) (/ 1 (pow z 2)))
(+ (* y (- (/ (* (pow x 2) y) (pow z 6)) (/ x (pow z 4)))) (/ 1 (pow z 2)))
(+ (* y (- (* y (- (* -1 (/ (* (pow x 3) y) (pow z 8))) (* -1 (/ (pow x 2) (pow z 6))))) (/ x (pow z 4)))) (/ 1 (pow z 2)))
(* x y)
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* x y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* x y)
(* y (+ x (* 2 (/ (pow z 2) y))))
(* y (+ x (* 2 (/ (pow z 2) y))))
(* y (+ x (* 2 (/ (pow z 2) y))))
(* x y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* x y)
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
1
1
1
1
(* x y)
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* x y)
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(/ 1 (* x y))
(/ (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) y)
(/ (- (+ (/ 1 x) (/ (pow z 4) (* (pow x 3) (pow y 2)))) (/ (pow z 2) (* (pow x 2) y))) y)
(/ (- (+ (* -1 (/ (pow z 6) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -1 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (/ (pow z 2) (* (pow x 2) y)))) y)
(* x y)
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* x y)
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
1
1
1
1
(* x y)
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(/ 1 (* x y))
(* -1 (/ (- (/ (pow z 2) (* (pow x 2) y)) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* (pow x 3) y)) (/ (pow z 2) (pow x 2))) y)) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) (* (pow x 4) y)) (/ (pow z 4) (pow x 3))) y)) (/ (pow z 2) (pow x 2))) y)) (/ 1 x)) y))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* x y)
(* x y)
(* x y)
(* x y)
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* 2 (pow z 2))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
1
1
1
1
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(/ 1 (pow z 2))
(+ (* -1 (/ (* x y) (pow z 4))) (/ 1 (pow z 2)))
(+ (* x (- (/ (* x (pow y 2)) (pow z 6)) (/ y (pow z 4)))) (/ 1 (pow z 2)))
(+ (* x (- (* x (- (* -1 (/ (* x (pow y 3)) (pow z 8))) (* -1 (/ (pow y 2) (pow z 6))))) (/ y (pow z 4)))) (/ 1 (pow z 2)))
(* x y)
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x y)
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x y)
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
1
1
1
1
(* x y)
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x y)
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(/ 1 (* x y))
(/ (+ (* -1 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x)
(/ (- (+ (/ 1 y) (/ (pow z 4) (* (pow x 2) (pow y 3)))) (/ (pow z 2) (* x (pow y 2)))) x)
(/ (- (+ (* -1 (/ (pow z 6) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -1 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (/ (pow z 2) (* x (pow y 2))))) x)
(* x y)
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* x y)
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
1
1
1
1
(* x y)
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(/ 1 (* x y))
(* -1 (/ (- (/ (pow z 2) (* x (pow y 2))) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* x (pow y 3))) (/ (pow z 2) (pow y 2))) x)) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) (* x (pow y 4))) (/ (pow z 4) (pow y 3))) x)) (/ (pow z 2) (pow y 2))) x)) (/ 1 y)) x))

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

rewrite733.0ms (6.1%)

Memory

7.9MiB live, 753.3MiB allocated

Rules

7 426×	`lower-fma.f32`
7 418×	`lower-fma.f64`
5 356×	`lower-*.f32`
5 348×	`lower-*.f64`
4 974×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	163
0	44	133
1	216	94
2	1957	94
0	8812	93

Stop Event

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

Counts

16 → 3 495

Calls

Call 1

Inputs
(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
(.f64 #s(literal 3 binary64) (.f64 z z))
(*.f64 z z)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
(*.f64 y x)
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z))
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x))
(fma.f64 (+.f64 z z) z (fma.f64 z z (*.f64 y x)))
(+.f64 z z)
(fma.f64 z z (*.f64 y x))
(*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))))
(.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))))))
(fma.f64 y x #s(literal 0 binary64))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))))

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

eval1.2s (10.3%)

Memory: 10.7MiB live, 1 559.0MiB allocated
Compiler: Compiled 301 973 to 10 817 computations (96.4% saved)

prune1.4s (11.7%)

Memory

32.0MiB live, 2 134.9MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	6 436	8	6 444
Fresh	3	1	4
Picked	4	1	5
Done	0	0	0
Total	6 443	10	6 453

Accuracy

100.0%

Counts

6 453 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	92.2%	(fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 (/.f64 z x) z y) x)))
	51.2%	(fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
▶	77.8%	(fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 y x)))
▶	97.5%	(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 x y))
	79.6%	(fma.f64 y x (*.f64 z z))
	35.6%	(/.f64 (-.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 z z) z) z)) (.f64 (.f64 (.f64 x y) x) y)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (*.f64 (neg.f64 x) y)))
▶	29.8%	(.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z)))))
▶	92.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x))
▶	51.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
✓	55.2%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Compiler

Compiled 287 to 160 computations (44.3% saved)

simplify461.0ms (3.8%)

Memory

-13.8MiB live, 197.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
cost-diff	0	(.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z)))))
cost-diff	64	(fma.f64 y x #s(literal 0 binary64))
cost-diff	320	(.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ ( z z) (+ (* y x) 0)) (*.f64 z z))))
cost-diff	0	(/.f64 (*.f64 z z) x)
cost-diff	0	(fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y)
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x))
cost-diff	704	(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ (* z z) (* y x)) (*.f64 y x))
cost-diff	0	(+.f64 z z)
cost-diff	0	(fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 y x)))
cost-diff	0	(*.f64 z z)
cost-diff	0	(.f64 (.f64 z z) #s(literal 3 binary64))
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
cost-diff	0	(*.f64 x y)
cost-diff	0	(*.f64 z #s(literal 3 binary64))
cost-diff	0	(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 x y))

Rules

22 380×	`lower-fma.f32`
22 368×	`lower-fma.f64`
5 574×	`lower-*.f32`
5 558×	`lower-*.f64`
3 062×	`lower-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	247
0	60	233
1	104	225
2	195	217
3	568	217
4	1863	215
5	2522	215
6	3432	215
7	5455	215
8	6082	215
9	6271	215
10	7211	215
11	7233	215
12	7233	215
0	8416	215

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 x y))
(*.f64 z #s(literal 3 binary64))
z
#s(literal 3 binary64)
(*.f64 x y)
x
y
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
(.f64 (.f64 z z) #s(literal 3 binary64))
(*.f64 z z)
z
#s(literal 3 binary64)
(fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 y x)))
(+.f64 z z)
z
#s(approx (+ (* z z) (* y x)) (*.f64 y x))
(*.f64 y x)
y
x
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)
(fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y)
(/.f64 (*.f64 z z) x)
(*.f64 z z)
z
x
#s(literal 3 binary64)
y
(.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z)))))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
#s(literal 3 binary64)
(*.f64 z z)
z
(*.f64 y x)
y
x
(.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ ( z z) (+ (* y x) 0)) (*.f64 z z))))
(fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))
(fma.f64 y x #s(literal 0 binary64))
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z)))
#s(literal 1 binary64)
#s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z))

Outputs
(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 x y))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x))
(*.f64 z #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) z)
z
#s(literal 3 binary64)
(*.f64 x y)
(*.f64 y x)
x
y
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
(.f64 (.f64 z z) #s(literal 3 binary64))
(*.f64 z z)
z
#s(literal 3 binary64)
(fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 y x)))
(fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 y x)))
(+.f64 z z)
z
#s(approx (+ (* z z) (* y x)) (*.f64 y x))
#s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 y x))
(*.f64 y x)
y
x
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x)))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x))
(fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y)
(fma.f64 (/.f64 #s(literal 3 binary64) x) (*.f64 z z) y)
(/.f64 (*.f64 z z) x)
(*.f64 z z)
z
x
#s(literal 3 binary64)
y
(.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z)))))
(.f64 (/.f64 (fma.f64 y x (.f64 z z)) #s(approx (+ (* z z) (+ (* y x) 0)) (.f64 z z))) (fma.f64 (.f64 z z) #s(literal 3 binary64) (*.f64 y x)))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x))
#s(literal 3 binary64)
(*.f64 z z)
z
(*.f64 y x)
y
x
(.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ ( z z) (+ (* y x) 0)) (*.f64 z z))))
(/.f64 (fma.f64 y x (.f64 z z)) #s(approx (+ ( z z) (+ (* y x) 0)) (*.f64 z z)))
(fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))
(fma.f64 y x (*.f64 z z))
(fma.f64 y x #s(literal 0 binary64))
(*.f64 y x)
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z)))
#s(literal 1 binary64)
#s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z))

localize101.0ms (0.8%)

Memory

-2.2MiB live, 107.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	1.2539062500000002	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
accuracy	1.5038897356333614	(fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))
accuracy	22.926026093523454	(.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ ( z z) (+ (* y x) 0)) (*.f64 z z))))
accuracy	31.21838991990561	#s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z))
accuracy	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x))
accuracy	0.0859375	(fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y)
accuracy	5.00218147383139	(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)
accuracy	9.227041323861805	(/.f64 (*.f64 z z) x)
accuracy	0	(+.f64 z z)
accuracy	0	(*.f64 y x)
accuracy	0.03125	(fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 y x)))
accuracy	28.62139978224242	#s(approx (+ (* z z) (* y x)) (*.f64 y x))
accuracy	0	(*.f64 z z)
accuracy	0.16796875	(.f64 (.f64 z z) #s(literal 3 binary64))
accuracy	31.216337180020503	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
accuracy	0	(*.f64 z #s(literal 3 binary64))
accuracy	0	(*.f64 x y)
accuracy	1.5859209856333614	(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 x y))

Samples

61.0ms

256×

valid

Compiler

Compiled 229 to 33 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 25.0ms (56.7% of total)

ival-add: 15.0ms (34% of total)

ival-div: 3.0ms (6.8% of total)

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

exact: 0.0ms (0% of total)

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

series52.0ms (0.4%)

Memory

15.6MiB live, 65.4MiB allocated

Counts

20 → 576

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 x y)) (patch (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 x y)) #<representation binary64>) () ())
#s(alt (.f64 z #s(literal 3 binary64)) (patch (.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 z z) #s(literal 3 binary64)) (patch (.f64 (.f64 z z) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (.f64 y x))) (patch (fma.f64 (+.f64 z z) z #s(approx (+ ( z z) (* y x)) (*.f64 y x))) #<representation binary64>) () ())
#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ())
#s(alt #s(approx (+ (* z z) (* y x)) (.f64 y x)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x) (patch (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) (patch (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 z z) x) (patch (/.f64 (.f64 z z) x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ ( z z) (+ (* y x) 0)) (.f64 z z)))) (patch (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z)))) #<representation binary64>) () ())
#s(alt (fma.f64 y x #s(literal 0 binary64)) (patch (fma.f64 y x #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (+ (* y x) 0)) (.f64 z z))))) (patch (.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ ( z z) (+ (* y x) 0)) (*.f64 z z))))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* z z) (+ (* y x) 0)) (.f64 z z)) (patch #s(approx (+ ( z z) (+ (* y x) 0)) (*.f64 z z)) #<representation binary64>) () ())
#s(alt (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (patch (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #<representation binary64>) () ())

Outputs
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 x y)) (patch (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 x y)) (patch (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 x y)) (patch (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 x y)) (patch (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 3 z) (taylor 0 z) (#s(alt (.f64 z #s(literal 3 binary64)) (patch (.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 z) (taylor 0 z) (#s(alt (.f64 z #s(literal 3 binary64)) (patch (.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 z) (taylor 0 z) (#s(alt (.f64 z #s(literal 3 binary64)) (patch (.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 z) (taylor 0 z) (#s(alt (.f64 z #s(literal 3 binary64)) (patch (.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 z z) #s(literal 3 binary64)) (patch (.f64 (.f64 z z) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 z z) #s(literal 3 binary64)) (patch (.f64 (.f64 z z) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 z z) #s(literal 3 binary64)) (patch (.f64 (.f64 z z) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 z z) #s(literal 3 binary64)) (patch (.f64 (.f64 z z) #s(literal 3 binary64)) #<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 (* x y) (taylor 0 z) (#s(alt (fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (.f64 y x))) (patch (fma.f64 (+.f64 z z) z #s(approx (+ ( z z) (* y x)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (.f64 y x))) (patch (fma.f64 (+.f64 z z) z #s(approx (+ ( z z) (* y x)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (.f64 y x))) (patch (fma.f64 (+.f64 z z) z #s(approx (+ ( z z) (* y x)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (.f64 y x))) (patch (fma.f64 (+.f64 z z) z #s(approx (+ ( z z) (* y x)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* 2 z) (taylor 0 z) (#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ())) ())
#s(alt (* 2 z) (taylor 0 z) (#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ())) ())
#s(alt (* 2 z) (taylor 0 z) (#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ())) ())
#s(alt (* 2 z) (taylor 0 z) (#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* z z) (* y x)) (.f64 y x)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (+ (* z z) (* y x)) (.f64 y x)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (+ (* z z) (* y x)) (.f64 y x)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (+ (* z z) (* y x)) (.f64 y x)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x) (patch (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x) (patch (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x) (patch (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x) (patch (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) (patch (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ y (* 3 (/ (pow z 2) x))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) (patch (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ y (* 3 (/ (pow z 2) x))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) (patch (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ y (* 3 (/ (pow z 2) x))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) (patch (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) x) (taylor 0 z) (#s(alt (/.f64 (.f64 z z) x) (patch (/.f64 (.f64 z z) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) x) (taylor 0 z) (#s(alt (/.f64 (.f64 z z) x) (patch (/.f64 (.f64 z z) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) x) (taylor 0 z) (#s(alt (/.f64 (.f64 z z) x) (patch (/.f64 (.f64 z z) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) x) (taylor 0 z) (#s(alt (/.f64 (.f64 z z) x) (patch (/.f64 (.f64 z z) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ ( z z) (+ (* y x) 0)) (.f64 z z)))) (patch (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ ( z z) (+ (* y x) 0)) (.f64 z z)))) (patch (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ ( z z) (+ (* y x) 0)) (.f64 z z)))) (patch (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ ( z z) (+ (* y x) 0)) (.f64 z z)))) (patch (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (+ (* y x) 0)) (.f64 z z))))) (patch (.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ ( z z) (+ (* y x) 0)) (*.f64 z z))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (+ (* y x) 0)) (.f64 z z))))) (patch (.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ ( z z) (+ (* y x) 0)) (*.f64 z z))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (+ (* y x) 0)) (.f64 z z))))) (patch (.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ ( z z) (+ (* y x) 0)) (*.f64 z z))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (+ (* y x) 0)) (.f64 z z))))) (patch (.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ ( z z) (+ (* y x) 0)) (*.f64 z z))))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* z z) (+ (* y x) 0)) (.f64 z z)) (patch #s(approx (+ ( z z) (+ (* y x) 0)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (+ (* z z) (+ (* y x) 0)) (.f64 z z)) (patch #s(approx (+ ( z z) (+ (* y x) 0)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (+ (* z z) (+ (* y x) 0)) (.f64 z z)) (patch #s(approx (+ ( z z) (+ (* y x) 0)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (+ (* z z) (+ (* y x) 0)) (.f64 z z)) (patch #s(approx (+ ( z z) (+ (* y x) 0)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (patch (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (patch (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (patch (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (patch (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor inf z) (#s(alt (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 x y)) (patch (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 x y)) (patch (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 x y)) (patch (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 x y)) #<representation binary64>) () ())) ())
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#s(alt (* 3 z) (taylor inf z) (#s(alt (.f64 z #s(literal 3 binary64)) (patch (.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 z) (taylor inf z) (#s(alt (.f64 z #s(literal 3 binary64)) (patch (.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 3 z) (taylor inf z) (#s(alt (.f64 z #s(literal 3 binary64)) (patch (.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor inf z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x) (patch (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x) (patch (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x) (patch (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf x) (#s(alt (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) (patch (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ y (* 3 (/ (pow z 2) x))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) (patch (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ y (* 3 (/ (pow z 2) x))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) (patch (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ y (* 3 (/ (pow z 2) x))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) (patch (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) x) (taylor -inf x) (#s(alt (/.f64 (.f64 z z) x) (patch (/.f64 (.f64 z z) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) x) (taylor -inf x) (#s(alt (/.f64 (.f64 z z) x) (patch (/.f64 (.f64 z z) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) x) (taylor -inf x) (#s(alt (/.f64 (.f64 z z) x) (patch (/.f64 (.f64 z z) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) x) (taylor -inf x) (#s(alt (/.f64 (.f64 z z) x) (patch (/.f64 (.f64 z z) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ ( z z) (+ (* y x) 0)) (.f64 z z)))) (patch (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ ( z z) (+ (* y x) 0)) (.f64 z z)))) (patch (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ ( z z) (+ (* y x) 0)) (.f64 z z)))) (patch (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ ( z z) (+ (* y x) 0)) (.f64 z z)))) (patch (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 y x #s(literal 0 binary64)) (patch (fma.f64 y x #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 y x #s(literal 0 binary64)) (patch (fma.f64 y x #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 y x #s(literal 0 binary64)) (patch (fma.f64 y x #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 y x #s(literal 0 binary64)) (patch (fma.f64 y x #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (+ (* y x) 0)) (.f64 z z))))) (patch (.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ ( z z) (+ (* y x) 0)) (*.f64 z z))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (+ (* y x) 0)) (.f64 z z))))) (patch (.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ ( z z) (+ (* y x) 0)) (*.f64 z z))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (+ (* y x) 0)) (.f64 z z))))) (patch (.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ ( z z) (+ (* y x) 0)) (*.f64 z z))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (+ (* y x) 0)) (.f64 z z))))) (patch (.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ ( z z) (+ (* y x) 0)) (*.f64 z z))))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ (* z z) (+ (* y x) 0)) (.f64 z z)) (patch #s(approx (+ ( z z) (+ (* y x) 0)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* z z) (+ (* y x) 0)) (.f64 z z)) (patch #s(approx (+ ( z z) (+ (* y x) 0)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* z z) (+ (* y x) 0)) (.f64 z z)) (patch #s(approx (+ ( z z) (+ (* y x) 0)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* z z) (+ (* y x) 0)) (.f64 z z)) (patch #s(approx (+ ( z z) (+ (* y x) 0)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (patch (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (patch (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (patch (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (patch (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	((+ (* (* z 3) z) (* x y)) (* z 3) (* x y) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (* (+ z z) z) (+ (* z z) (* y x))) (+ z z) (+ (* z z) (* y x)) (* y x) (* (+ (* (/ (* z z) x) 3) y) x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (/ (* z z) x) 3) y) (/ (* z z) x) (* (+ (* z z) (+ (* y x) 0)) (/ 1 (+ (* z z) (+ (* y x) 0)))) (+ (* y x) 0) (* (+ (* 3 (* z z)) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (/ 1 (+ (* z z) (+ (* y x) 0))))) (+ (* 3 (* z z)) (* y x)) (+ (* z z) (+ (* y x) 0)) (+ (* z z) (+ (* y x) 0)))
2.0ms	z	@	-inf	((+ (* (* z 3) z) (* x y)) (* z 3) (* x y) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (* (+ z z) z) (+ (* z z) (* y x))) (+ z z) (+ (* z z) (* y x)) (* y x) (* (+ (* (/ (* z z) x) 3) y) x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (/ (* z z) x) 3) y) (/ (* z z) x) (* (+ (* z z) (+ (* y x) 0)) (/ 1 (+ (* z z) (+ (* y x) 0)))) (+ (* y x) 0) (* (+ (* 3 (* z z)) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (/ 1 (+ (* z z) (+ (* y x) 0))))) (+ (* 3 (* z z)) (* y x)) (+ (* z z) (+ (* y x) 0)) (+ (* z z) (+ (* y x) 0)))
2.0ms	x	@	-inf	((+ (* (* z 3) z) (* x y)) (* z 3) (* x y) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (* (+ z z) z) (+ (* z z) (* y x))) (+ z z) (+ (* z z) (* y x)) (* y x) (* (+ (* (/ (* z z) x) 3) y) x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (/ (* z z) x) 3) y) (/ (* z z) x) (* (+ (* z z) (+ (* y x) 0)) (/ 1 (+ (* z z) (+ (* y x) 0)))) (+ (* y x) 0) (* (+ (* 3 (* z z)) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (/ 1 (+ (* z z) (+ (* y x) 0))))) (+ (* 3 (* z z)) (* y x)) (+ (* z z) (+ (* y x) 0)) (+ (* z z) (+ (* y x) 0)))
2.0ms	z	@	0	((+ (* (* z 3) z) (* x y)) (* z 3) (* x y) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (* (+ z z) z) (+ (* z z) (* y x))) (+ z z) (+ (* z z) (* y x)) (* y x) (* (+ (* (/ (* z z) x) 3) y) x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (/ (* z z) x) 3) y) (/ (* z z) x) (* (+ (* z z) (+ (* y x) 0)) (/ 1 (+ (* z z) (+ (* y x) 0)))) (+ (* y x) 0) (* (+ (* 3 (* z z)) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (/ 1 (+ (* z z) (+ (* y x) 0))))) (+ (* 3 (* z z)) (* y x)) (+ (* z z) (+ (* y x) 0)) (+ (* z z) (+ (* y x) 0)))
1.0ms	x	@	inf	((+ (* (* z 3) z) (* x y)) (* z 3) (* x y) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (* (+ z z) z) (+ (* z z) (* y x))) (+ z z) (+ (* z z) (* y x)) (* y x) (* (+ (* (/ (* z z) x) 3) y) x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (/ (* z z) x) 3) y) (/ (* z z) x) (* (+ (* z z) (+ (* y x) 0)) (/ 1 (+ (* z z) (+ (* y x) 0)))) (+ (* y x) 0) (* (+ (* 3 (* z z)) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (/ 1 (+ (* z z) (+ (* y x) 0))))) (+ (* 3 (* z z)) (* y x)) (+ (* z z) (+ (* y x) 0)) (+ (* z z) (+ (* y x) 0)))

simplify133.0ms (1.1%)

Memory

-2.2MiB live, 189.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 514×	`lower-fma.f64`
7 514×	`lower-fma.f32`
3 232×	`lower-*.f64`
3 232×	`lower-*.f32`
1 536×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	3416
1	291	3416
2	871	3416
3	2957	3416
4	6328	3416
0	8247	3119

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 571

Calls

Call 1

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

rewrite439.0ms (3.6%)

Memory

-50.4MiB live, 505.0MiB allocated

Rules

7 878×	`lower-fma.f32`
7 868×	`lower-fma.f64`
5 090×	`lower-*.f32`
5 074×	`lower-*.f64`
4 562×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	206
0	60	191
1	246	170
2	1981	170
0	8712	170

Stop Event

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

Counts

20 → 2 002

Calls

Call 1

Inputs
(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 x y))
(*.f64 z #s(literal 3 binary64))
(*.f64 x y)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
(.f64 (.f64 z z) #s(literal 3 binary64))
(*.f64 z z)
(fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 y x)))
(+.f64 z z)
#s(approx (+ (* z z) (* y x)) (*.f64 y x))
(*.f64 y x)
(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x))
(fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y)
(/.f64 (*.f64 z z) x)
(.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ ( z z) (+ (* y x) 0)) (*.f64 z z))))
(fma.f64 y x #s(literal 0 binary64))
(.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z)))))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
#s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z))
(fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))

Outputs
(.f64 (-.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 z z) z) z)) (.f64 (.f64 (.f64 y x) y) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 (neg.f64 y) x))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 y x) (.f64 #s(literal 27 binary64) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 z z) z) z) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 (*.f64 z z) #s(literal 3 binary64)))))))
(pow.f64 (/.f64 (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 (neg.f64 y) x)) (-.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 z z) z) z)) (.f64 (.f64 (*.f64 y x) y) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 z z) z) z) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 (.f64 z z) #s(literal 3 binary64))))) (fma.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 y x) (.f64 #s(literal 27 binary64) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z))))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (fma.f64 (.f64 z z) #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 3 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (fma.f64 (fma.f64 (.f64 z z) #s(literal 3 binary64) #s(literal 0 binary64)) (fma.f64 (.f64 z z) #s(literal 3 binary64) #s(literal 0 binary64)) (-.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 (fma.f64 (.f64 z z) #s(literal 3 binary64) #s(literal 0 binary64)) (.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x)) (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x)) (-.f64 #s(literal 0 binary64) (.f64 (fma.f64 (.f64 z z) #s(literal 3 binary64) (*.f64 y x)) #s(literal 0 binary64)))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x)) (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x))) (.f64 #s(literal 0 binary64) (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x))))))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y) (pow.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 z z) #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 y x) y) x (-.f64 (.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 z z) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 z z) #s(literal 3 binary64)))) (.f64 (.f64 y x) (+.f64 #s(literal 0 binary64) (.f64 (*.f64 z z) #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 z z) z) z)))) (neg.f64 (-.f64 (.f64 y x) (.f64 (.f64 z z) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 z z) z) z)) (.f64 (.f64 (.f64 y x) y) x)))) (neg.f64 (neg.f64 (fma.f64 (.f64 z z) #s(literal 3 binary64) (*.f64 (neg.f64 y) x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 y x) (.f64 #s(literal 27 binary64) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 z z) z) z) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 (.f64 z z) #s(literal 3 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 z z) z) z)) (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 (neg.f64 y) x))) (.f64 (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 (neg.f64 y) x)) (.f64 (.f64 (.f64 y x) y) x))) (.f64 (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 (neg.f64 y) x)) (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 (neg.f64 y) x))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 z z) z) z))) (-.f64 (.f64 y x) (.f64 (.f64 z z) #s(literal 3 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 z z) z) z)) (.f64 (.f64 (.f64 y x) y) x))) (neg.f64 (fma.f64 (.f64 z z) #s(literal 3 binary64) (*.f64 (neg.f64 y) x))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 y x) (.f64 #s(literal 27 binary64) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z))))) (neg.f64 (fma.f64 (.f64 (.f64 y x) y) x (-.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 z z) z) z)) (.f64 (.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) y) x)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 y x) (.f64 #s(literal 27 binary64) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z))))) (neg.f64 (fma.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 z z) z) z) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 (.f64 z z) #s(literal 3 binary64)))))))
(/.f64 (-.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 z z) z) z)) (.f64 (.f64 (.f64 y x) y) x)) (fma.f64 (.f64 z z) #s(literal 3 binary64) (*.f64 (neg.f64 y) x)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 y x) (.f64 #s(literal 27 binary64) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)))) (fma.f64 (.f64 (.f64 y x) y) x (-.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 z z) z) z)) (.f64 (.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) y) x))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 y x) (.f64 #s(literal 27 binary64) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)))) (fma.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 z z) z) z) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 (.f64 z z) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 (neg.f64 y) x)) (-.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 z z) z) z)) (.f64 (.f64 (*.f64 y x) y) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 z z) z) z) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 (.f64 z z) #s(literal 3 binary64))))) (fma.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 y x) (.f64 #s(literal 27 binary64) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 (neg.f64 y) x)) (-.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 z z) z) z)) (.f64 (.f64 (*.f64 y x) y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 z z) z) z) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 (.f64 z z) #s(literal 3 binary64))))) (fma.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 y x) (.f64 #s(literal 27 binary64) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z))))))
(fma.f64 (/.f64 (.f64 (.f64 y x) y) (.f64 (.f64 (.f64 y x) y) x)) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 y x))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 z z) #s(literal 3 binary64))))
(fma.f64 (/.f64 (.f64 (.f64 y x) y) (.f64 (.f64 (.f64 y x) y) x)) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 y x))) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 (/.f64 (.f64 (.f64 y x) y) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y x) y) x))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 z z) #s(literal 3 binary64))))
(fma.f64 (/.f64 (.f64 (.f64 y x) y) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y x) y) x))) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 (/.f64 (.f64 (.f64 y x) y) (.f64 (fma.f64 (fma.f64 y x (.f64 z z)) (fma.f64 y x (.f64 z z)) (.f64 (.f64 z z) (-.f64 (.f64 z z) (fma.f64 y x (.f64 z z))))) (.f64 y x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y x (.f64 z z)) (fma.f64 y x (.f64 z z)) (.f64 (.f64 z z) (-.f64 (.f64 z z) (fma.f64 y x (.f64 z z))))))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 z z) #s(literal 3 binary64))))
(fma.f64 (/.f64 (.f64 (.f64 y x) y) (.f64 (fma.f64 (fma.f64 y x (.f64 z z)) (fma.f64 y x (.f64 z z)) (.f64 (.f64 z z) (-.f64 (.f64 z z) (fma.f64 y x (.f64 z z))))) (.f64 y x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y x (.f64 z z)) (fma.f64 y x (.f64 z z)) (.f64 (.f64 z z) (-.f64 (.f64 z z) (fma.f64 y x (.f64 z z))))))) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 (/.f64 (.f64 (.f64 y x) y) y) (/.f64 x x) (+.f64 #s(literal 0 binary64) (.f64 (.f64 z z) #s(literal 3 binary64))))
(fma.f64 (/.f64 (.f64 (.f64 y x) y) y) (/.f64 x x) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 (/.f64 (.f64 (.f64 y x) y) x) (/.f64 x y) (+.f64 #s(literal 0 binary64) (.f64 (.f64 z z) #s(literal 3 binary64))))
(fma.f64 (/.f64 (.f64 (.f64 y x) y) x) (/.f64 x y) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 (/.f64 (.f64 (.f64 y x) x) (.f64 (.f64 (.f64 y x) y) x)) (/.f64 y (/.f64 #s(literal 1 binary64) (.f64 y x))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 z z) #s(literal 3 binary64))))
(fma.f64 (/.f64 (.f64 (.f64 y x) x) (.f64 (.f64 (.f64 y x) y) x)) (/.f64 y (/.f64 #s(literal 1 binary64) (.f64 y x))) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 (/.f64 (.f64 (.f64 y x) x) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (/.f64 y (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y x) y) x))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 z z) #s(literal 3 binary64))))
(fma.f64 (/.f64 (.f64 (.f64 y x) x) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (/.f64 y (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y x) y) x))) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 (/.f64 (.f64 (.f64 y x) x) (.f64 (fma.f64 (fma.f64 y x (.f64 z z)) (fma.f64 y x (.f64 z z)) (.f64 (.f64 z z) (-.f64 (.f64 z z) (fma.f64 y x (.f64 z z))))) (.f64 y x))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y x (.f64 z z)) (fma.f64 y x (.f64 z z)) (.f64 (.f64 z z) (-.f64 (.f64 z z) (fma.f64 y x (.f64 z z))))))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 z z) #s(literal 3 binary64))))
(fma.f64 (/.f64 (.f64 (.f64 y x) x) (.f64 (fma.f64 (fma.f64 y x (.f64 z z)) (fma.f64 y x (.f64 z z)) (.f64 (.f64 z z) (-.f64 (.f64 z z) (fma.f64 y x (.f64 z z))))) (.f64 y x))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y x (.f64 z z)) (fma.f64 y x (.f64 z z)) (.f64 (.f64 z z) (-.f64 (.f64 z z) (fma.f64 y x (.f64 z z))))))) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 (/.f64 (.f64 (.f64 y x) x) y) (/.f64 y x) (+.f64 #s(literal 0 binary64) (.f64 (.f64 z z) #s(literal 3 binary64))))
(fma.f64 (/.f64 (.f64 (.f64 y x) x) y) (/.f64 y x) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 (/.f64 (.f64 (.f64 y x) x) x) (/.f64 y y) (+.f64 #s(literal 0 binary64) (.f64 (.f64 z z) #s(literal 3 binary64))))
(fma.f64 (/.f64 (.f64 (.f64 y x) x) x) (/.f64 y y) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 (/.f64 (.f64 x x) (.f64 (.f64 (.f64 y x) y) x)) (/.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (.f64 y x))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 z z) #s(literal 3 binary64))))
(fma.f64 (/.f64 (.f64 x x) (.f64 (.f64 (.f64 y x) y) x)) (/.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (.f64 y x))) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 (/.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (/.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y x) y) x))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 z z) #s(literal 3 binary64))))
(fma.f64 (/.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (/.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y x) y) x))) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 (/.f64 (.f64 x x) (.f64 (fma.f64 (fma.f64 y x (.f64 z z)) (fma.f64 y x (.f64 z z)) (.f64 (.f64 z z) (-.f64 (.f64 z z) (fma.f64 y x (.f64 z z))))) (.f64 y x))) (/.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y x (.f64 z z)) (fma.f64 y x (.f64 z z)) (.f64 (.f64 z z) (-.f64 (.f64 z z) (fma.f64 y x (.f64 z z))))))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 z z) #s(literal 3 binary64))))
(fma.f64 (/.f64 (.f64 x x) (.f64 (fma.f64 (fma.f64 y x (.f64 z z)) (fma.f64 y x (.f64 z z)) (.f64 (.f64 z z) (-.f64 (.f64 z z) (fma.f64 y x (.f64 z z))))) (.f64 y x))) (/.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y x (.f64 z z)) (fma.f64 y x (.f64 z z)) (.f64 (.f64 z z) (-.f64 (.f64 z z) (fma.f64 y x (.f64 z z))))))) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 (/.f64 (.f64 y y) (.f64 (.f64 (.f64 y x) y) x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 y x))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 z z) #s(literal 3 binary64))))
(fma.f64 (/.f64 (.f64 y y) (.f64 (.f64 (.f64 y x) y) x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 y x))) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 (/.f64 (.f64 y y) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y x) y) x))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 z z) #s(literal 3 binary64))))
(fma.f64 (/.f64 (.f64 y y) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y x) y) x))) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 (/.f64 (.f64 y y) (.f64 (fma.f64 (fma.f64 y x (.f64 z z)) (fma.f64 y x (.f64 z z)) (.f64 (.f64 z z) (-.f64 (.f64 z z) (fma.f64 y x (.f64 z z))))) (.f64 y x))) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y x (.f64 z z)) (fma.f64 y x (.f64 z z)) (.f64 (.f64 z z) (-.f64 (.f64 z z) (fma.f64 y x (.f64 z z))))))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 z z) #s(literal 3 binary64))))
(fma.f64 (/.f64 (.f64 y y) (.f64 (fma.f64 (fma.f64 y x (.f64 z z)) (fma.f64 y x (.f64 z z)) (.f64 (.f64 z z) (-.f64 (.f64 z z) (fma.f64 y x (.f64 z z))))) (.f64 y x))) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y x (.f64 z z)) (fma.f64 y x (.f64 z z)) (.f64 (.f64 z z) (-.f64 (.f64 z z) (fma.f64 y x (.f64 z z))))))) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 (/.f64 (.f64 x x) x) (/.f64 (.f64 y y) y) (+.f64 #s(literal 0 binary64) (.f64 (.f64 z z) #s(literal 3 binary64))))
(fma.f64 (/.f64 (.f64 x x) x) (/.f64 (.f64 y y) y) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 (/.f64 (.f64 y y) y) (/.f64 (.f64 x x) x) (+.f64 #s(literal 0 binary64) (.f64 (.f64 z z) #s(literal 3 binary64))))
(fma.f64 (/.f64 (.f64 y y) y) (/.f64 (.f64 x x) x) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 (/.f64 (.f64 x x) y) (/.f64 (.f64 y y) x) (+.f64 #s(literal 0 binary64) (.f64 (.f64 z z) #s(literal 3 binary64))))
(fma.f64 (/.f64 (.f64 x x) y) (/.f64 (.f64 y y) x) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 (/.f64 (.f64 y y) x) (/.f64 (.f64 x x) y) (+.f64 #s(literal 0 binary64) (.f64 (.f64 z z) #s(literal 3 binary64))))
(fma.f64 (/.f64 (.f64 y y) x) (/.f64 (.f64 x x) y) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 (/.f64 (.f64 y x) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (/.f64 (.f64 y x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y x) y) x))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 z z) #s(literal 3 binary64))))
(fma.f64 (/.f64 (.f64 y x) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (/.f64 (.f64 y x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y x) y) x))) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 (/.f64 (.f64 y x) (.f64 (fma.f64 (fma.f64 y x (.f64 z z)) (fma.f64 y x (.f64 z z)) (.f64 (.f64 z z) (-.f64 (.f64 z z) (fma.f64 y x (.f64 z z))))) (.f64 y x))) (/.f64 (.f64 y x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y x (.f64 z z)) (fma.f64 y x (.f64 z z)) (.f64 (.f64 z z) (-.f64 (.f64 z z) (fma.f64 y x (.f64 z z))))))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 z z) #s(literal 3 binary64))))
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(fma.f64 (/.f64 (.f64 y x) x) (/.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 y (.f64 y x))) (*.f64 z z))
(fma.f64 (/.f64 (fma.f64 y x (.f64 z z)) (.f64 (fma.f64 y x (.f64 z z)) (fma.f64 z z (.f64 (neg.f64 y) x)))) (/.f64 (fma.f64 y x (.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 (neg.f64 y) x)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 y x (.f64 z z)) (fma.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 y x) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)))) (/.f64 (fma.f64 y x (.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y x) y) x (.f64 (.f64 z z) (fma.f64 z z (.f64 (neg.f64 y) x)))))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 y x (.f64 z z)) (fma.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 y x) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)))) (/.f64 (fma.f64 y x (.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 z z) z) z (.f64 (.f64 y x) (fma.f64 y x (.f64 z z)))))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 y x (.f64 z z)) #s(literal 1 binary64)) (/.f64 (fma.f64 y x (.f64 z z)) (fma.f64 y x (*.f64 z z))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 y x (.f64 z z)) (fma.f64 y x (.f64 z z))) (/.f64 (fma.f64 y x (*.f64 z z)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) (*.f64 y x))
(fma.f64 (/.f64 (fma.f64 y x (.f64 z z)) (.f64 (fma.f64 y x (.f64 z z)) (fma.f64 y x (.f64 z z)))) (/.f64 (fma.f64 y x (.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 y x (.f64 z z)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 y x) (.f64 (.f64 (.f64 y x) y) x)) (/.f64 (.f64 y x) (/.f64 #s(literal 1 binary64) (.f64 y x))) (fma.f64 z z #s(literal 0 binary64)))
(fma.f64 (/.f64 (.f64 y x) (.f64 (.f64 (.f64 y x) y) x)) (/.f64 (.f64 y x) (/.f64 #s(literal 1 binary64) (.f64 y x))) (*.f64 z z))
(fma.f64 (neg.f64 z) z (*.f64 y x))
(fma.f64 (.f64 (fma.f64 y x (.f64 z z)) (fma.f64 y x (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y x (.f64 z z))) #s(literal 0 binary64))
(fma.f64 (.f64 (fma.f64 y x (.f64 z z)) (fma.f64 z z (.f64 (neg.f64 y) x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 (neg.f64 y) x))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 y x) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y x) y) x (.f64 (.f64 z z) (fma.f64 z z (.f64 (neg.f64 y) x))))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 y x) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 z z) z) z (.f64 (.f64 y x) (fma.f64 y x (.f64 z z))))) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 (.f64 y x) y) x) (/.f64 #s(literal 1 binary64) (.f64 y x)) (fma.f64 z z #s(literal 0 binary64)))
(fma.f64 (.f64 (.f64 (.f64 y x) y) x) (/.f64 #s(literal 1 binary64) (.f64 y x)) (*.f64 z z))
(fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y x) y) x)) (fma.f64 z z #s(literal 0 binary64)))
(fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y x) y) x)) (*.f64 z z))
(fma.f64 (.f64 (fma.f64 (fma.f64 y x (.f64 z z)) (fma.f64 y x (.f64 z z)) (.f64 (.f64 z z) (-.f64 (.f64 z z) (fma.f64 y x (.f64 z z))))) (.f64 y x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y x (.f64 z z)) (fma.f64 y x (.f64 z z)) (.f64 (.f64 z z) (-.f64 (.f64 z z) (fma.f64 y x (.f64 z z)))))) (fma.f64 z z #s(literal 0 binary64)))
(fma.f64 (.f64 (fma.f64 (fma.f64 y x (.f64 z z)) (fma.f64 y x (.f64 z z)) (.f64 (.f64 z z) (-.f64 (.f64 z z) (fma.f64 y x (.f64 z z))))) (.f64 y x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y x (.f64 z z)) (fma.f64 y x (.f64 z z)) (.f64 (.f64 z z) (-.f64 (.f64 z z) (fma.f64 y x (.f64 z z)))))) (*.f64 z z))
(fma.f64 #s(literal -1 binary64) (.f64 z z) (.f64 y x))
(fma.f64 #s(literal 1 binary64) (fma.f64 y x (*.f64 z z)) #s(literal 0 binary64))
(fma.f64 (.f64 y x) (/.f64 (.f64 y x) (*.f64 y x)) (fma.f64 z z #s(literal 0 binary64)))
(fma.f64 (.f64 y x) (/.f64 (.f64 y x) (.f64 y x)) (.f64 z z))
(fma.f64 (fma.f64 y x (*.f64 z z)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 y x (fma.f64 z z #s(literal 0 binary64)))
(fma.f64 y x (*.f64 z z))
(fma.f64 x y (fma.f64 z z #s(literal 0 binary64)))
(fma.f64 x y (*.f64 z z))
(fma.f64 z (neg.f64 z) (*.f64 y x))
(fma.f64 z z (*.f64 y x))
(-.f64 (/.f64 (.f64 (fma.f64 y x (.f64 z z)) (fma.f64 y x (.f64 z z))) (-.f64 (fma.f64 y x (.f64 z z)) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (-.f64 (fma.f64 y x (*.f64 z z)) #s(literal 0 binary64))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) (fma.f64 (.f64 (.f64 y x) y) x (fma.f64 (.f64 (.f64 z z) z) z (.f64 (.f64 (.f64 z z) y) x)))) (/.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (fma.f64 (.f64 (.f64 y x) y) x (fma.f64 (.f64 (.f64 z z) z) z (.f64 (.f64 (.f64 z z) y) x)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 y x) y) x) (fma.f64 y x (.f64 z z))) (/.f64 (.f64 (.f64 (.f64 z z) z) z) (fma.f64 y x (.f64 z z))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 z z) z) z) (fma.f64 z z (.f64 (neg.f64 y) x))) (/.f64 (.f64 (.f64 (.f64 y x) y) x) (fma.f64 z z (.f64 (neg.f64 y) x))))
(-.f64 (.f64 y x) (.f64 z z))
(+.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 y x))
(+.f64 #s(literal 0 binary64) (fma.f64 y x (*.f64 z z)))
(+.f64 (*.f64 y x) (fma.f64 z z #s(literal 0 binary64)))
(+.f64 (.f64 y x) (.f64 z z))
(+.f64 (.f64 z z) (.f64 y x))
(+.f64 (fma.f64 y x (*.f64 z z)) #s(literal 0 binary64))

eval705.0ms (5.9%)

Memory: 65.3MiB live, 790.7MiB allocated
Compiler: Compiled 110 082 to 5 307 computations (95.2% saved)

prune1.0s (8.4%)

Memory

-21.0MiB live, 666.5MiB allocated

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	2 925	5	2 930
Fresh	2	2	4
Picked	2	3	5
Done	0	1	1
Total	2 929	11	2 940

Accuracy

100.0%

Counts

2 940 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.2%	(fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
✓	77.8%	(fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 y x)))
✓	97.5%	(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 x y))
▶	79.6%	(fma.f64 y x (*.f64 z z))
	35.9%	(/.f64 (-.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 z z) z) z))) (-.f64 (.f64 y x) (.f64 (.f64 z z) #s(literal 3 binary64))))
	52.2%	(.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 #s(approx (+ (* z z) (+ (* y x) 0)) (.f64 z z)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( z z) (+ (* y x) 0)) (*.f64 z z)))))
▶	92.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x))
✓	51.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
▶	51.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
▶	43.4%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x))
✓	55.2%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Compiler

Compiled 261 to 143 computations (45.2% saved)

simplify170.0ms (1.4%)

Memory

15.5MiB live, 210.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))
cost-diff	0	#s(approx (+ (* (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64)))
cost-diff	0	(.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x)
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x))
cost-diff	0	(*.f64 z z)
cost-diff	0	#s(approx (+ (* z z) (* y x)) (*.f64 z z))
cost-diff	0	(+.f64 z z)
cost-diff	0	(fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
cost-diff	0	(*.f64 z z)
cost-diff	0	(fma.f64 y x (*.f64 z z))
cost-diff	0	(*.f64 z #s(literal 3 binary64))
cost-diff	0	(.f64 (.f64 z #s(literal 3 binary64)) z)
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
cost-diff	0	(*.f64 (/.f64 z x) z)
cost-diff	0	(fma.f64 (*.f64 (/.f64 z x) z) #s(literal 3 binary64) y)
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x))
cost-diff	704	(.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x)

Rules

10 154×	`lower-fma.f32`
10 148×	`lower-fma.f64`
6 684×	`lower-*.f32`
6 670×	`lower-*.f64`
6 116×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	222
0	49	214
1	74	208
2	103	199
3	156	199
4	244	197
5	298	197
6	579	197
7	1326	197
8	2623	197
9	4495	197
10	4709	197
11	4807	197
12	4815	197
13	4815	197
0	9728	192

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x))
(.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x)
(fma.f64 (*.f64 (/.f64 z x) z) #s(literal 3 binary64) y)
(*.f64 (/.f64 z x) z)
(/.f64 z x)
z
x
#s(literal 3 binary64)
y
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
(.f64 (.f64 z #s(literal 3 binary64)) z)
(*.f64 z #s(literal 3 binary64))
z
#s(literal 3 binary64)
(fma.f64 y x (*.f64 z z))
y
x
(*.f64 z z)
z
(fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
(+.f64 z z)
z
#s(approx (+ (* z z) (* y x)) (*.f64 z z))
(*.f64 z z)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x))
(.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x)
#s(approx (+ (* (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64)))
(.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))
(/.f64 (*.f64 z z) x)
(*.f64 z z)
z
x
#s(literal 3 binary64)

Outputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)))
(.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x)
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(fma.f64 (*.f64 (/.f64 z x) z) #s(literal 3 binary64) y)
(fma.f64 (/.f64 #s(literal 3 binary64) x) (*.f64 z z) y)
(*.f64 (/.f64 z x) z)
(/.f64 z x)
z
x
#s(literal 3 binary64)
y
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
(.f64 (.f64 z #s(literal 3 binary64)) z)
(.f64 (.f64 #s(literal 3 binary64) z) z)
(*.f64 z #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) z)
z
#s(literal 3 binary64)
(fma.f64 y x (*.f64 z z))
(fma.f64 z z (*.f64 y x))
y
x
(*.f64 z z)
z
(fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
(+.f64 z z)
z
#s(approx (+ (* z z) (* y x)) (*.f64 z z))
(*.f64 z z)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64))) x))
(.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x)
(.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64))) x)
#s(approx (+ (* (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64)))
#s(approx (+ (* (/ (* z z) x) 3) y) (.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64)))
(.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))
(.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64))
(/.f64 (*.f64 z z) x)
(*.f64 (/.f64 z x) z)
(*.f64 z z)
z
x
#s(literal 3 binary64)

localize86.0ms (0.7%)

Memory

-9.7MiB live, 195.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.17578125	(.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))
accuracy	5.00218147383139	(.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x)
accuracy	9.227041323861805	(/.f64 (*.f64 z z) x)
accuracy	32.80070466836571	#s(approx (+ (* (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64)))
accuracy	0	(+.f64 z z)
accuracy	0	(*.f64 z z)
accuracy	0.03125	(fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
accuracy	31.21838991990561	#s(approx (+ (* z z) (* y x)) (*.f64 z z))
accuracy	0	(fma.f64 y x (*.f64 z z))
accuracy	0	(*.f64 z z)
accuracy	0	(*.f64 z #s(literal 3 binary64))
accuracy	0.15625	(.f64 (.f64 z #s(literal 3 binary64)) z)
accuracy	31.216337180020503	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
accuracy	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x))
accuracy	0.0859375	(fma.f64 (*.f64 (/.f64 z x) z) #s(literal 3 binary64) y)
accuracy	0.12109375	(*.f64 (/.f64 z x) z)
accuracy	5.00218147383139	(.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x)

Samples

66.0ms

256×

valid

Compiler

Compiled 167 to 28 computations (83.2% saved)

Precisions

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

ival-add: 26.0ms (54.8% of total)

ival-mult: 17.0ms (35.8% of total)

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

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

exact: 0.0ms (0% of total)

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

series29.0ms (0.2%)

Memory

-8.8MiB live, 65.2MiB allocated

Counts

17 → 480

Calls

Call 1

Inputs
#s(alt (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x) (patch (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) (patch (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 z x) z) (patch (.f64 (/.f64 z x) z) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 z #s(literal 3 binary64)) z) (patch (.f64 (.f64 z #s(literal 3 binary64)) z) #<representation binary64>) () ())
#s(alt (.f64 z #s(literal 3 binary64)) (patch (.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 y x (.f64 z z)) (patch (fma.f64 y x (.f64 z z)) #<representation binary64>) () ())
#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (.f64 z z))) (patch (fma.f64 (+.f64 z z) z #s(approx (+ ( z z) (* y x)) (*.f64 z z))) #<representation binary64>) () ())
#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ())
#s(alt #s(approx (+ (* z z) (* y x)) (.f64 z z)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 z z)) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x) (patch (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) (patch #s(approx (+ (* (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64)) (patch (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 z z) x) (patch (/.f64 (.f64 z z) x) #<representation binary64>) () ())

Outputs
#s(alt (* x y) (taylor 0 z) (#s(alt (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x) (patch (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x) (patch (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x) (patch (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x) (patch (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) (patch (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ y (* 3 (/ (pow z 2) x))) (taylor 0 z) (#s(alt (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) (patch (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ y (* 3 (/ (pow z 2) x))) (taylor 0 z) (#s(alt (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) (patch (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ y (* 3 (/ (pow z 2) x))) (taylor 0 z) (#s(alt (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) (patch (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) x) (taylor 0 z) (#s(alt (.f64 (/.f64 z x) z) (patch (.f64 (/.f64 z x) z) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) x) (taylor 0 z) (#s(alt (.f64 (/.f64 z x) z) (patch (.f64 (/.f64 z x) z) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) x) (taylor 0 z) (#s(alt (.f64 (/.f64 z x) z) (patch (.f64 (/.f64 z x) z) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) x) (taylor 0 z) (#s(alt (.f64 (/.f64 z x) z) (patch (.f64 (/.f64 z x) z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 z #s(literal 3 binary64)) z) (patch (.f64 (.f64 z #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 z #s(literal 3 binary64)) z) (patch (.f64 (.f64 z #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 z #s(literal 3 binary64)) z) (patch (.f64 (.f64 z #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 z #s(literal 3 binary64)) z) (patch (.f64 (.f64 z #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 3 z) (taylor 0 z) (#s(alt (.f64 z #s(literal 3 binary64)) (patch (.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 z) (taylor 0 z) (#s(alt (.f64 z #s(literal 3 binary64)) (patch (.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 z) (taylor 0 z) (#s(alt (.f64 z #s(literal 3 binary64)) (patch (.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 z) (taylor 0 z) (#s(alt (.f64 z #s(literal 3 binary64)) (patch (.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 y x (.f64 z z)) (patch (fma.f64 y x (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 y x (.f64 z z)) (patch (fma.f64 y x (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 y x (.f64 z z)) (patch (fma.f64 y x (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 y x (.f64 z z)) (patch (fma.f64 y x (.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) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (.f64 z z))) (patch (fma.f64 (+.f64 z z) z #s(approx (+ ( z z) (* y x)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (.f64 z z))) (patch (fma.f64 (+.f64 z z) z #s(approx (+ ( z z) (* y x)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (.f64 z z))) (patch (fma.f64 (+.f64 z z) z #s(approx (+ ( z z) (* y x)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (.f64 z z))) (patch (fma.f64 (+.f64 z z) z #s(approx (+ ( z z) (* y x)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* 2 z) (taylor 0 z) (#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ())) ())
#s(alt (* 2 z) (taylor 0 z) (#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ())) ())
#s(alt (* 2 z) (taylor 0 z) (#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ())) ())
#s(alt (* 2 z) (taylor 0 z) (#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* z z) (* y x)) (.f64 z z)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (+ (* z z) (* y x)) (.f64 z z)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (+ (* z z) (* y x)) (.f64 z z)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (+ (* z z) (* y x)) (.f64 z z)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x) (patch (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x) (patch (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x) (patch (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x) (patch (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt #s(approx (+ (* (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) (patch #s(approx (+ (* (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ y (* 3 (/ (pow z 2) x))) (taylor 0 z) (#s(alt #s(approx (+ (* (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) (patch #s(approx (+ (* (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ y (* 3 (/ (pow z 2) x))) (taylor 0 z) (#s(alt #s(approx (+ (* (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) (patch #s(approx (+ (* (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ y (* 3 (/ (pow z 2) x))) (taylor 0 z) (#s(alt #s(approx (+ (* (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) (patch #s(approx (+ (* (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ (pow z 2) x)) (taylor 0 z) (#s(alt (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64)) (patch (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ (pow z 2) x)) (taylor 0 z) (#s(alt (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64)) (patch (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ (pow z 2) x)) (taylor 0 z) (#s(alt (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64)) (patch (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ (pow z 2) x)) (taylor 0 z) (#s(alt (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64)) (patch (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) x) (taylor 0 z) (#s(alt (/.f64 (.f64 z z) x) (patch (/.f64 (.f64 z z) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) x) (taylor 0 z) (#s(alt (/.f64 (.f64 z z) x) (patch (/.f64 (.f64 z z) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) x) (taylor 0 z) (#s(alt (/.f64 (.f64 z z) x) (patch (/.f64 (.f64 z z) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) x) (taylor 0 z) (#s(alt (/.f64 (.f64 z z) x) (patch (/.f64 (.f64 z z) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor inf z) (#s(alt (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x) (patch (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x) (patch (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x) (patch (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x) (patch (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor inf z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
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#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ (pow z 2) x)) (taylor inf z) (#s(alt (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) (patch (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (fma.f64 y x (.f64 z z)) (patch (fma.f64 y x (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (.f64 z z))) (patch (fma.f64 (+.f64 z z) z #s(approx (+ ( z z) (* y x)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (.f64 z z))) (patch (fma.f64 (+.f64 z z) z #s(approx (+ ( z z) (* y x)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (.f64 z z))) (patch (fma.f64 (+.f64 z z) z #s(approx (+ ( z z) (* y x)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (.f64 z z))) (patch (fma.f64 (+.f64 z z) z #s(approx (+ ( z z) (* y x)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ (* z z) (* y x)) (.f64 z z)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* z z) (* y x)) (.f64 z z)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* z z) (* y x)) (.f64 z z)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* z z) (* y x)) (.f64 z z)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x) (patch (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x) (patch (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x) (patch (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x) (patch (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf x) (#s(alt #s(approx (+ (* (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) (patch #s(approx (+ (* (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ y (* 3 (/ (pow z 2) x))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) (patch #s(approx (+ (* (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ y (* 3 (/ (pow z 2) x))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) (patch #s(approx (+ (* (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ y (* 3 (/ (pow z 2) x))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) (patch #s(approx (+ (* (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ (pow z 2) x)) (taylor -inf x) (#s(alt (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64)) (patch (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ (pow z 2) x)) (taylor -inf x) (#s(alt (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64)) (patch (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ (pow z 2) x)) (taylor -inf x) (#s(alt (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64)) (patch (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ (pow z 2) x)) (taylor -inf x) (#s(alt (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64)) (patch (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) x) (taylor -inf x) (#s(alt (/.f64 (.f64 z z) x) (patch (/.f64 (.f64 z z) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) x) (taylor -inf x) (#s(alt (/.f64 (.f64 z z) x) (patch (/.f64 (.f64 z z) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) x) (taylor -inf x) (#s(alt (/.f64 (.f64 z z) x) (patch (/.f64 (.f64 z z) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) x) (taylor -inf x) (#s(alt (/.f64 (.f64 z z) x) (patch (/.f64 (.f64 z z) x) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	z	@	-inf	((* (+ (* (* (/ z x) z) 3) y) x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* (/ z x) z) 3) y) (* (/ z x) z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (+ (* y x) (* z z)) (* z z) (+ (* (+ z z) z) (+ (* z z) (* y x))) (+ z z) (+ (* z z) (* y x)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (+ (* (/ (* z z) x) 3) y) x) (+ (* (/ (* z z) x) 3) y) (* (/ (* z z) x) 3) (/ (* z z) x))
2.0ms	z	@	inf	((* (+ (* (* (/ z x) z) 3) y) x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* (/ z x) z) 3) y) (* (/ z x) z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (+ (* y x) (* z z)) (* z z) (+ (* (+ z z) z) (+ (* z z) (* y x))) (+ z z) (+ (* z z) (* y x)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (+ (* (/ (* z z) x) 3) y) x) (+ (* (/ (* z z) x) 3) y) (* (/ (* z z) x) 3) (/ (* z z) x))
1.0ms	z	@	0	((* (+ (* (* (/ z x) z) 3) y) x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* (/ z x) z) 3) y) (* (/ z x) z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (+ (* y x) (* z z)) (* z z) (+ (* (+ z z) z) (+ (* z z) (* y x))) (+ z z) (+ (* z z) (* y x)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (+ (* (/ (* z z) x) 3) y) x) (+ (* (/ (* z z) x) 3) y) (* (/ (* z z) x) 3) (/ (* z z) x))
1.0ms	x	@	-inf	((* (+ (* (* (/ z x) z) 3) y) x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* (/ z x) z) 3) y) (* (/ z x) z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (+ (* y x) (* z z)) (* z z) (+ (* (+ z z) z) (+ (* z z) (* y x))) (+ z z) (+ (* z z) (* y x)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (+ (* (/ (* z z) x) 3) y) x) (+ (* (/ (* z z) x) 3) y) (* (/ (* z z) x) 3) (/ (* z z) x))
1.0ms	x	@	0	((* (+ (* (* (/ z x) z) 3) y) x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* (/ z x) z) 3) y) (* (/ z x) z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (+ (* y x) (* z z)) (* z z) (+ (* (+ z z) z) (+ (* z z) (* y x))) (+ z z) (+ (* z z) (* y x)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (+ (* (/ (* z z) x) 3) y) x) (+ (* (/ (* z z) x) 3) y) (* (/ (* z z) x) 3) (/ (* z z) x))

simplify120.0ms (1%)

Memory

15.5MiB live, 173.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 514×	`lower-fma.f64`
7 514×	`lower-fma.f32`
3 232×	`lower-*.f64`
3 232×	`lower-*.f32`
1 536×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	3240
1	291	3240
2	871	3240
3	2957	3240
4	6323	3240
0	8244	2970

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 470

Calls

Call 1

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

rewrite204.0ms (1.7%)

Memory

-53.4MiB live, 216.2MiB allocated

Rules

5 942×	`lower-fma.f32`
5 936×	`lower-fma.f64`
4 328×	`lower-*.f32`
4 322×	`lower-/.f32`
4 318×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	200
0	49	192
1	186	179
2	1273	179
0	8247	175

Stop Event

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

Counts

17 → 401

Calls

Call 1

Inputs
(.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x))
(fma.f64 (*.f64 (/.f64 z x) z) #s(literal 3 binary64) y)
(*.f64 (/.f64 z x) z)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
(.f64 (.f64 z #s(literal 3 binary64)) z)
(*.f64 z #s(literal 3 binary64))
(fma.f64 y x (*.f64 z z))
(*.f64 z z)
(fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
(+.f64 z z)
#s(approx (+ (* z z) (* y x)) (*.f64 z z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x))
(.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x)
#s(approx (+ (* (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64)))
(.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))
(/.f64 (*.f64 z z) x)

Outputs
(.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) z) z) (.f64 (.f64 #s(literal 3 binary64) z) z)) (.f64 x x)) (.f64 y y)) x) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (*.f64 (/.f64 z x) z) #s(literal 3 binary64)) y)))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (.f64 (.f64 x x) x)) #s(literal 27 binary64) (.f64 (.f64 y y) y)) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64))) (/.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) z) z) (.f64 (.f64 #s(literal 3 binary64) z) z)) (*.f64 x x)))))
(.f64 (.f64 x (-.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) z) z) (.f64 (.f64 #s(literal 3 binary64) z) z)) (.f64 x x)) (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (*.f64 (/.f64 z x) z) #s(literal 3 binary64)) y)))
(.f64 (.f64 x (fma.f64 (/.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (.f64 (.f64 x x) x)) #s(literal 27 binary64) (.f64 (.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64))) (/.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) z) z) (.f64 (.f64 #s(literal 3 binary64) z) z)) (*.f64 x x)))))
(.f64 (fma.f64 (.f64 #s(literal 3 binary64) (/.f64 z x)) z y) x)
(.f64 x (fma.f64 (.f64 #s(literal 3 binary64) (/.f64 z x)) z y))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64)) x) #s(literal 3 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (fma.f64 (.f64 (.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64)) x) (.f64 (.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64)) x) (-.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 (.f64 (.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64)) x) (.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64))) #s(literal 3 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (fma.f64 (.f64 x (.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64))) (.f64 x (.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64))) (-.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 (.f64 x (.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64))) (.f64 y x)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y) (pow.f64 (.f64 (.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64)) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 y x) y) x (-.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64)) x) (.f64 (.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64)) x)) (.f64 (.f64 y x) (.f64 (.f64 (*.f64 (/.f64 z x) z) #s(literal 3 binary64)) x)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y) (pow.f64 (.f64 x (.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 y x) y) x (-.f64 (.f64 (.f64 x (.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64))) (.f64 x (.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64)))) (.f64 (.f64 y x) (.f64 x (.f64 (*.f64 (/.f64 z x) z) #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) z) z) (.f64 (.f64 #s(literal 3 binary64) z) z)) (.f64 x x)) (.f64 y y)) x)) (neg.f64 (-.f64 (.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64)) y)))
(/.f64 (neg.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (.f64 (.f64 x x) x)) #s(literal 27 binary64) (.f64 (.f64 y y) y)) x)) (neg.f64 (fma.f64 y (-.f64 y (.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64))) (/.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) z) z) (.f64 (.f64 #s(literal 3 binary64) z) z)) (.f64 x x)))))
(/.f64 (neg.f64 (.f64 x (-.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) z) z) (.f64 (.f64 #s(literal 3 binary64) z) z)) (.f64 x x)) (.f64 y y)))) (neg.f64 (-.f64 (.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64)) y)))
(/.f64 (neg.f64 (.f64 x (fma.f64 (/.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (.f64 (.f64 x x) x)) #s(literal 27 binary64) (.f64 (.f64 y y) y)))) (neg.f64 (fma.f64 y (-.f64 y (.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64))) (/.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) z) z) (.f64 (.f64 #s(literal 3 binary64) z) z)) (.f64 x x)))))
(/.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) z) z) (.f64 (.f64 #s(literal 3 binary64) z) z)) (.f64 x x)) (.f64 y y)) x) (-.f64 (.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64)) y))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (.f64 (.f64 x x) x)) #s(literal 27 binary64) (.f64 (.f64 y y) y)) x) (fma.f64 y (-.f64 y (.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64))) (/.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) z) z) (.f64 (.f64 #s(literal 3 binary64) z) z)) (.f64 x x))))
(/.f64 (.f64 x (-.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) z) z) (.f64 (.f64 #s(literal 3 binary64) z) z)) (.f64 x x)) (.f64 y y))) (-.f64 (.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64)) y))
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eval196.0ms (1.6%)

Memory: 42.9MiB live, 232.4MiB allocated
Compiler: Compiled 13 485 to 1 063 computations (92.1% saved)

prune184.0ms (1.5%)

Memory

-21.7MiB live, 175.4MiB allocated

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	903	4	907
Fresh	2	0	2
Picked	2	3	5
Done	0	4	4
Total	907	11	918

Accuracy

100.0%

Counts

918 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.2%	(fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
✓	77.8%	(fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 y x)))
	18.3%	(fma.f64 (.f64 (.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64)))) z #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
	14.9%	(fma.f64 (.f64 (.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) z) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
✓	97.5%	(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 x y))
✓	79.6%	(fma.f64 y x (*.f64 z z))
✓	51.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
✓	51.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
	43.4%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (.f64 (/.f64 z x) #s(literal 3 binary64)) z)) x))
✓	55.2%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
	31.3%	#s(approx (+ (* y x) (* z z)) (*.f64 z z))

Compiler

Compiled 509 to 158 computations (69% saved)

regimes76.0ms (0.6%)

Memory

-11.1MiB live, 84.7MiB allocated

Counts

27 → 1

Calls

Call 1

Inputs
#s(approx (+ (* y x) (* z z)) (*.f64 z z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 y x (*.f64 z z))
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z))
(fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 y x)))
(fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x)))
(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 x y))
(fma.f64 (+.f64 z z) z (fma.f64 z z (*.f64 y x)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (.f64 (/.f64 z x) #s(literal 3 binary64)) z)) x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(approx (+ ( (/ (* z z) x) 3) y) (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))) x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 (/.f64 z x) z y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))))
(.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 #s(approx (+ (* z z) (+ (* y x) 0)) (.f64 z z)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( z z) (+ (* y x) 0)) (*.f64 z z)))))
(fma.f64 (.f64 (.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) z) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
(fma.f64 (.f64 (.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64)))) z #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
(.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (+ (* y x) 0)) (*.f64 z z)))))
(.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 z z) z) z)) (.f64 (.f64 (.f64 x y) x) y)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (*.f64 (neg.f64 x) y)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 z z) z) z))) (-.f64 (.f64 y x) (.f64 (.f64 z z) #s(literal 3 binary64))))
(fma.f64 (.f64 (.f64 (.f64 (.f64 z z) z) z) (.f64 (+.f64 z z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) (.f64 z z) #s(literal 0 binary64))) (fma.f64 z z (.f64 y x)))

Outputs
(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))

Calls

6 calls:

27.0ms	y
16.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
8.0ms	x
8.0ms	z
8.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
99.9%	1	`(*.f64 x y)`
99.9%	1	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes23.0ms (0.2%)

Memory

10.7MiB live, 49.3MiB allocated

Counts

9 → 2

Calls

Call 1

Inputs
#s(approx (+ (* y x) (* z z)) (*.f64 z z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 y x (*.f64 z z))
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z))
(fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 y x)))
(fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x)))

Outputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x)))
#s(approx (+ (* y x) (* z z)) (*.f64 z z))

Calls

6 calls:

5.0ms	z
4.0ms	x
4.0ms	y
4.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
4.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
97.5%	1	`x`
97.5%	1	`y`
99.9%	2	`z`
99.9%	2	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
99.9%	2	`(*.f64 x y)`
99.9%	2	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes21.0ms (0.2%)

Memory

2.8MiB live, 40.6MiB allocated

Counts

8 → 3

Calls

Call 1

Inputs
#s(approx (+ (* y x) (* z z)) (*.f64 z z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 y x (*.f64 z z))
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z))
(fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 y x)))
(fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z)))

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

Calls

6 calls:

5.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
3.0ms	x
3.0ms	z
3.0ms	y
3.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
79.6%	1	`x`
84.4%	3	`y`
86.1%	2	`z`
87.2%	3	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
89.5%	3	`(*.f64 x y)`
86.1%	2	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes3.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

7 → 3

Calls

Call 1

Inputs
#s(approx (+ (* y x) (* z z)) (*.f64 z z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 y x (*.f64 z z))
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z))
(fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 y x)))

Outputs
(fma.f64 y x (*.f64 z z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 y x)))

Calls

1 calls:

3.0ms

(*.f64 x y)

Results

Accuracy	Segments	Branch
89.5%	3	`(*.f64 x y)`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

6 → 3

Calls

Call 1

Inputs
#s(approx (+ (* y x) (* z z)) (*.f64 z z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 y x (*.f64 z z))
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z))

Outputs
(fma.f64 y x (*.f64 z z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 y x (*.f64 z z))

Calls

1 calls:

3.0ms

(*.f64 x y)

Results

Accuracy	Segments	Branch
89.3%	3	`(*.f64 x y)`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes53.0ms (0.4%)

Memory

-20.5MiB live, 17.4MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (+ (* y x) (* z z)) (*.f64 z z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))

Outputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))

Calls

4 calls:

46.0ms	(*.f64 z z)
2.0ms	z
2.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
2.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
80.1%	2	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
85.2%	2	`z`
85.2%	2	`(*.f64 z z)`
74.5%	3	`(*.f64 x y)`

Compiler

Compiled 34 to 19 computations (44.1% saved)

regimes4.0ms (0%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z))

Outputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
85.2%	2	`z`
85.2%	2	`(*.f64 z z)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes8.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
71.4%	2	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
55.2%	1	`x`
59.4%	3	`y`
76.2%	2	`z`
76.2%	2	`(*.f64 z z)`

Compiler

Compiled 36 to 21 computations (41.7% saved)

regimes13.0ms (0.1%)

Memory

-19.3MiB live, 20.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

6.0ms	z
1.0ms	x
1.0ms	y
1.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
1.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
31.3%	1	`x`
31.3%	1	`y`
31.3%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
31.3%	1	`(*.f64 x y)`
31.3%	1	`z`
31.3%	1	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.033975748052847e+303	+inf

Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.840281263070149e-198	2.0237892874270127e-181
0.0ms	-1.1920204828907302e-166	-1.4857374242040003e-168

Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.840281263070149e-198	2.0237892874270127e-181
0.0ms	-1.1920204828907302e-166	-1.4857374242040003e-168

Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.840281263070149e-198	2.0237892874270127e-181
0.0ms	-1.1920204828907302e-166	-1.4857374242040003e-168

Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.2847671873292145e+33	4.404246916687214e+33

Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.2847671873292145e+33	4.404246916687214e+33

Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch13.0ms (0.1%)

Memory

-14.0MiB live, 22.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3.033975748052847e+303	+inf

Samples

5.0ms	123×	0	valid
0.0ms	3×	3	valid
0.0ms	1×	2	valid
0.0ms	1×	1	valid

Compiler

Compiled 129 to 86 computations (33.3% saved)

Precisions

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

ival-add: 2.0ms (63.9% of total)

ival-mult: 1.0ms (32% of total)

adjust: 0.0ms (0% of total)

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

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

simplify8.0ms (0.1%)

Memory

19.3MiB live, 19.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	338
1	57	338

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
(if (<=.f64 (.f64 z z) #s(literal 4999999999999999696267762527682310930020143610058662476595385785661602281506616951421654628720253874218428059028081086289358596871318015265117899420433441387493650720841005520533855126581220452921859901274275799538319841275410916329774556134803974902673017459331286203203802190422979931037452174069071872 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))) #s(approx (+ (* y x) (* z z)) (*.f64 z z)))
(if (<=.f64 (.f64 x y) #s(literal -6639224910209589/66392249102095887336198525819058578416199139715878990399930517275050444982606530342395312783153660708611166185780812626918322417206588404926189997345823418992978908854424152378966016 binary64)) (fma.f64 y x (.f64 z z)) (if (<=.f64 (.f64 x y) #s(literal 3366486976990959/673297395398191808926846705008656469190443494761366254015779955592797715750026345230549316643531321757053820013590811867266487328023526894480360290643440748794268629904440908568532961009193307810725536222180016128 binary64)) (fma.f64 (+.f64 z z) z #s(approx (+ ( z z) (* y x)) (.f64 z z))) (fma.f64 (+.f64 z z) z #s(approx (+ ( z z) (* y x)) (*.f64 y x)))))
(if (<=.f64 (.f64 x y) #s(literal -6639224910209589/66392249102095887336198525819058578416199139715878990399930517275050444982606530342395312783153660708611166185780812626918322417206588404926189997345823418992978908854424152378966016 binary64)) (fma.f64 y x (.f64 z z)) (if (<=.f64 (.f64 x y) #s(literal 3366486976990959/673297395398191808926846705008656469190443494761366254015779955592797715750026345230549316643531321757053820013590811867266487328023526894480360290643440748794268629904440908568532961009193307810725536222180016128 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) (fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 y x)))))
(if (<=.f64 (.f64 x y) #s(literal -6639224910209589/66392249102095887336198525819058578416199139715878990399930517275050444982606530342395312783153660708611166185780812626918322417206588404926189997345823418992978908854424152378966016 binary64)) (fma.f64 y x (.f64 z z)) (if (<=.f64 (.f64 x y) #s(literal 3366486976990959/673297395398191808926846705008656469190443494761366254015779955592797715750026345230549316643531321757053820013590811867266487328023526894480360290643440748794268629904440908568532961009193307810725536222180016128 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) (fma.f64 y x (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 4399999999999999875823166803673088 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 4399999999999999875823166803673088 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)))
(if (<=.f64 (.f64 z z) #s(literal 9500000000000000153807299657596321793541951949750582021248247312382608849955556498672295602050440045936143253304123505847650051411154342763161748789055592129586983593046916953860152237239796100860757974175147645582777209364659156552991501060743173246056004332901864748167634394624477900108303380124794880 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ ( y x) (* z z)) (*.f64 z z)))
#s(approx (+ (* y x) (* z z)) (*.f64 z z))

Outputs
(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
(fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))
(if (<=.f64 (.f64 z z) #s(literal 4999999999999999696267762527682310930020143610058662476595385785661602281506616951421654628720253874218428059028081086289358596871318015265117899420433441387493650720841005520533855126581220452921859901274275799538319841275410916329774556134803974902673017459331286203203802190422979931037452174069071872 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))) #s(approx (+ (* y x) (* z z)) (*.f64 z z)))
(if (<=.f64 (.f64 z z) #s(literal 4999999999999999696267762527682310930020143610058662476595385785661602281506616951421654628720253874218428059028081086289358596871318015265117899420433441387493650720841005520533855126581220452921859901274275799538319841275410916329774556134803974902673017459331286203203802190422979931037452174069071872 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 x y))) #s(approx (+ (* y x) (* z z)) (*.f64 z z)))
(if (<=.f64 (.f64 x y) #s(literal -6639224910209589/66392249102095887336198525819058578416199139715878990399930517275050444982606530342395312783153660708611166185780812626918322417206588404926189997345823418992978908854424152378966016 binary64)) (fma.f64 y x (.f64 z z)) (if (<=.f64 (.f64 x y) #s(literal 3366486976990959/673297395398191808926846705008656469190443494761366254015779955592797715750026345230549316643531321757053820013590811867266487328023526894480360290643440748794268629904440908568532961009193307810725536222180016128 binary64)) (fma.f64 (+.f64 z z) z #s(approx (+ ( z z) (* y x)) (.f64 z z))) (fma.f64 (+.f64 z z) z #s(approx (+ ( z z) (* y x)) (*.f64 y x)))))
(if (<=.f64 (.f64 x y) #s(literal -6639224910209589/66392249102095887336198525819058578416199139715878990399930517275050444982606530342395312783153660708611166185780812626918322417206588404926189997345823418992978908854424152378966016 binary64)) (fma.f64 y x (.f64 z z)) (if (<=.f64 (.f64 x y) #s(literal 3366486976990959/673297395398191808926846705008656469190443494761366254015779955592797715750026345230549316643531321757053820013590811867266487328023526894480360290643440748794268629904440908568532961009193307810725536222180016128 binary64)) (fma.f64 (+.f64 z z) z #s(approx (+ ( z z) (* y x)) (.f64 z z))) (fma.f64 (+.f64 z z) z #s(approx (+ ( z z) (* y x)) (*.f64 x y)))))
(if (<=.f64 (.f64 x y) #s(literal -6639224910209589/66392249102095887336198525819058578416199139715878990399930517275050444982606530342395312783153660708611166185780812626918322417206588404926189997345823418992978908854424152378966016 binary64)) (fma.f64 y x (.f64 z z)) (if (<=.f64 (.f64 x y) #s(literal 3366486976990959/673297395398191808926846705008656469190443494761366254015779955592797715750026345230549316643531321757053820013590811867266487328023526894480360290643440748794268629904440908568532961009193307810725536222180016128 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) (fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 y x)))))
(if (<=.f64 (.f64 x y) #s(literal -6639224910209589/66392249102095887336198525819058578416199139715878990399930517275050444982606530342395312783153660708611166185780812626918322417206588404926189997345823418992978908854424152378966016 binary64)) (fma.f64 y x (.f64 z z)) (if (<=.f64 (.f64 x y) #s(literal 3366486976990959/673297395398191808926846705008656469190443494761366254015779955592797715750026345230549316643531321757053820013590811867266487328023526894480360290643440748794268629904440908568532961009193307810725536222180016128 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) (fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 x y)))))
(if (<=.f64 (.f64 x y) #s(literal -6639224910209589/66392249102095887336198525819058578416199139715878990399930517275050444982606530342395312783153660708611166185780812626918322417206588404926189997345823418992978908854424152378966016 binary64)) (fma.f64 y x (.f64 z z)) (if (<=.f64 (.f64 x y) #s(literal 3366486976990959/673297395398191808926846705008656469190443494761366254015779955592797715750026345230549316643531321757053820013590811867266487328023526894480360290643440748794268629904440908568532961009193307810725536222180016128 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) (fma.f64 y x (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 4399999999999999875823166803673088 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 4399999999999999875823166803673088 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 x y)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 4399999999999999875823166803673088 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)))
(if (<=.f64 (.f64 z z) #s(literal 4399999999999999875823166803673088 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 x y)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)))
(if (<=.f64 (.f64 z z) #s(literal 9500000000000000153807299657596321793541951949750582021248247312382608849955556498672295602050440045936143253304123505847650051411154342763161748789055592129586983593046916953860152237239796100860757974175147645582777209364659156552991501060743173246056004332901864748167634394624477900108303380124794880 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ ( y x) (* z z)) (*.f64 z z)))
(if (<=.f64 (.f64 z z) #s(literal 9500000000000000153807299657596321793541951949750582021248247312382608849955556498672295602050440045936143253304123505847650051411154342763161748789055592129586983593046916953860152237239796100860757974175147645582777209364659156552991501060743173246056004332901864748167634394624477900108303380124794880 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 x y)) #s(approx (+ ( y x) (* z z)) (*.f64 z z)))
#s(approx (+ (* y x) (* z z)) (*.f64 z z))

soundness1.4s (11.6%)

Memory

11.8MiB live, 874.0MiB allocated

Rules

11 550×	`lower-fma.f64`
11 550×	`lower-fma.f32`
10 458×	`lower-fma.f64`
10 458×	`lower-fma.f32`
8 096×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	3416
1	291	3416
2	871	3416
3	2957	3416
4	6328	3416
0	8247	3119
0	27	163
0	44	133
1	216	94
2	1957	94
0	8812	93
0	8	39
0	13	39
1	55	35
2	517	29
3	7580	29
0	8184	26
0	85	3240
1	291	3240
2	871	3240
3	2957	3240
4	6323	3240
0	8244	2970
0	250	3930
1	782	3898
2	2323	3858
3	7970	3846
0	9167	3590
0	70	880
1	244	880
2	750	880
3	2131	880
4	5841	880
0	8161	799

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node 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 949 to 314 computations (66.9% saved)

preprocess167.0ms (1.4%)

Memory

-4.4MiB live, 153.9MiB allocated

Remove

(sort x y)

(abs z)

Compiler

Compiled 506 to 158 computations (68.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample974.0ms (8.1%)

explain194.0ms (1.6%)

preprocess66.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize21.0ms (0.2%)

series67.0ms (0.6%)

simplify250.0ms (2.1%)

rewrite277.0ms (2.3%)

eval206.0ms (1.7%)

prune181.0ms (1.5%)

simplify343.0ms (2.9%)

localize92.0ms (0.8%)

series29.0ms (0.2%)

simplify261.0ms (2.2%)

rewrite733.0ms (6.1%)

eval1.2s (10.3%)

prune1.4s (11.7%)

simplify461.0ms (3.8%)

localize101.0ms (0.8%)

series52.0ms (0.4%)

simplify133.0ms (1.1%)

rewrite439.0ms (3.6%)

eval705.0ms (5.9%)

prune1.0s (8.4%)

simplify170.0ms (1.4%)

localize86.0ms (0.7%)

series29.0ms (0.2%)

simplify120.0ms (1%)

rewrite204.0ms (1.7%)

eval196.0ms (1.6%)

prune184.0ms (1.5%)

regimes76.0ms (0.6%)

regimes23.0ms (0.2%)

regimes21.0ms (0.2%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes53.0ms (0.4%)

regimes4.0ms (0%)

regimes8.0ms (0.1%)

regimes13.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch13.0ms (0.1%)

simplify8.0ms (0.1%)

soundness1.4s (11.6%)

preprocess167.0ms (1.4%)

end0.0ms (0%)

Profiling