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

0.4MiB live, 0.4MiB 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)

sample919.0ms (13.1%)

Memory

-152.2MiB live, 904.3MiB allocated

Samples

416.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 242.0ms

ival-mult: 126.0ms (52.1% of total)

ival-add: 107.0ms (44.3% of total)

ival-true: 6.0ms (2.5% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain186.0ms (2.7%)

Memory

-6.4MiB live, 160.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
2	-	-	`(+.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	2	0
↳	`(*.f64 x y)`	overflow	26
↳	`(*.f64 z z)`	overflow	71

Confusion

	Predicted +	Predicted -
+	2	0
-	0	254

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	0	0
-	0	0	254

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	254
1	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

105.0ms

512×

valid

Compiler

Compiled 103 to 28 computations (72.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 7.0ms (52.9% of total)

ival-add: 6.0ms (45.4% of total)

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

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

preprocess77.0ms (1.1%)

Memory

3.4MiB live, 39.7MiB 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 15 to 8 computations (46.7% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify4.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB 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	192	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
cost-diff	512	(+.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 #s(literal 2 binary64) (.f64 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

localize25.0ms (0.4%)

Memory

6.8MiB live, 43.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0.01171875	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
accuracy	0.09375	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
accuracy	0.41015625000000006	(+.f64 (.f64 x y) (.f64 z z))

Samples

19.0ms

256×

valid

Compiler

Compiled 44 to 10 computations (77.3% saved)

Precisions

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

ival-mult: 4.0ms (56.8% of total)

ival-add: 3.0ms (42.6% of total)

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

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

series13.0ms (0.2%)

Memory

-11.0MiB live, 26.4MiB allocated

Counts

4 → 132

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>) () ())

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 (* 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 (* 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 (+ (* 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
5.0ms	y	@	0	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* x y) (* z z)) (* x y))
1.0ms	x	@	-inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* x y) (* z z)) (* x y))
1.0ms	y	@	-inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* x y) (* z z)) (* x y))
1.0ms	z	@	inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* x y) (* z z)) (* x y))
1.0ms	y	@	inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* x y) (* z z)) (* x y))

simplify220.0ms (3.1%)

Memory

-13.0MiB live, 115.3MiB 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	844
1	244	844
2	750	844
3	2131	844
4	5841	844
0	8161	763

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

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))
(* 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))))
(* 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))))
(+ (* 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))
(* 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))
(* 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))
(+ (* 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)

rewrite386.0ms (5.5%)

Memory

-3.5MiB live, 151.2MiB 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	36
0	13	36
1	55	32
2	517	26
3	7580	26
0	8184	23

Stop Event

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

Counts

4 → 324

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)

Outputs
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eval78.0ms (1.1%)

Memory: 23.9MiB live, 131.9MiB allocated
Compiler: Compiled 11 480 to 1 016 computations (91.1% saved)

prune15.0ms (0.2%)

Memory

5.9MiB live, 44.2MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	447	9	456
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	448	9	457

Accuracy

100.0%

Counts

457 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
▶	99.8%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
▶	99.1%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
▶	98.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))))
	34.7%	(+.f64 (fma.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 y x))) (.f64 z z)) (*.f64 z z))
▶	77.1%	(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z))
	99.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x)))
	56.6%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
▶	48.9%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Compiler

Compiled 184 to 148 computations (19.6% saved)

simplify7.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z z)
cost-diff	0	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))))
cost-diff	0	(*.f64 y x)
cost-diff	0	(*.f64 z z)
cost-diff	0	(fma.f64 #s(literal 3 binary64) (.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

136×	`lower-fma.f32`
132×	`lower-fma.f64`
82×	`lower-*.f32`
76×	`lower-*.f64`
40×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	146
0	30	142
1	47	136
2	71	131
3	104	131
4	126	131
5	137	131
0	137	128

Stop Event

1×	iter limit
1×	saturated
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 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
#s(literal 3 binary64)
(*.f64 z z)
z
(*.f64 y x)
y
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 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))
#s(literal 3 binary64)
(*.f64 z z)
z
(*.f64 y x)
y
x

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 #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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)))
(/.f64 #s(literal 1 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

localize77.0ms (1.1%)

Memory

-31.1MiB live, 70.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0.3143852459588815	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))))
accuracy	0.49056625976844204	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
accuracy	1.0833284540138435	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)))
accuracy	0	(*.f64 z z)
accuracy	0	(*.f64 y x)
accuracy	0.49056625976844204	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
accuracy	0	(*.f64 z z)
accuracy	0	(*.f64 y x)
accuracy	0.09375	(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z))
accuracy	32.679354207948464	#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x))
accuracy	0	(*.f64 y x)
accuracy	32.694787821036385	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
accuracy	0	(*.f64 z z)
accuracy	0.00390625	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
accuracy	0.1875	(.f64 #s(literal 3 binary64) (.f64 z z))

Samples

65.0ms

256×

valid

Compiler

Compiled 141 to 18 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 42.0ms (83.4% of total)

ival-add: 5.0ms (9.9% of total)

ival-div: 3.0ms (6% of total)

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

exact: 0.0ms (0% of total)

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

series31.0ms (0.4%)

Memory

5.0MiB live, 40.8MiB allocated

Counts

10 → 300

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 #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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))) #<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 #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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (* 9 (/ (pow z 2) (* (pow x 3) (pow y 3)))) (* 3 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -27 (/ (pow z 2) (* (pow x 4) (pow y 4)))) (* 9 (/ 1 (* (pow x 3) (pow y 3)))))) (* 3 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor inf 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 (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf 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 (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf 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 (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf 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 inf 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 inf 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 inf 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 inf 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 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>) () ())) ())
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#s(alt (* x y) (taylor -inf x) (#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 (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#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 (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#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 (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#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 -inf x) (#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 (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#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 (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#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 (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#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 -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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 3 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 9 (/ (pow z 4) (* x (pow y 3)))) (* 3 (/ (pow z 2) (pow y 2)))) x)) (/ 1 y)) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (pow z 6) (* x (pow y 4)))) (* 9 (/ (pow z 4) (pow y 3)))) x)) (* 3 (/ (pow z 2) (pow y 2)))) x)) (/ 1 y)) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
14.0ms	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)) (+ (* 3 (* z z)) (* y x)) (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (/ 1 (+ (* 3 (* z z)) (* y x))))
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)) (+ (* 3 (* z z)) (* y x)) (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (/ 1 (+ (* 3 (* z z)) (* y x))))
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)) (+ (* 3 (* z z)) (* y x)) (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (/ 1 (+ (* 3 (* z z)) (* y x))))
1.0ms	y	@	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)) (+ (* 3 (* z z)) (* y x)) (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (/ 1 (+ (* 3 (* z z)) (* y x))))
1.0ms	y	@	-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)) (+ (* 3 (* z z)) (* y x)) (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (/ 1 (+ (* 3 (* z z)) (* y x))))

simplify490.0ms (7%)

Memory

11.0MiB live, 234.0MiB allocated

Algorithm

1×	egg-herbie

Rules

14 204×	`lower-fma.f64`
14 204×	`lower-fma.f32`
7 294×	`lower-*.f64`
7 294×	`lower-*.f32`
3 226×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	268	2982
1	812	2974
2	2438	2950
0	8344	2742

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

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))
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(/ 1 (* x y))
(+ (* -3 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* 9 (/ (pow z 2) (* (pow x 3) (pow y 3)))) (* 3 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -27 (/ (pow z 2) (* (pow x 4) (pow y 4)))) (* 9 (/ 1 (* (pow x 3) (pow y 3)))))) (* 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))))
(* 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))))
(/ 1/3 (pow z 2))
(/ (+ 1/3 (* -1/9 (/ (* x y) (pow z 2)))) (pow z 2))
(/ (- (+ 1/3 (* 1/27 (/ (* (pow x 2) (pow y 2)) (pow z 4)))) (* 1/9 (/ (* x y) (pow z 2)))) (pow z 2))
(/ (- (+ 1/3 (* -1/81 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1/27 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (* 1/9 (/ (* 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))))
(* 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))))
(/ 1/3 (pow z 2))
(/ (+ 1/3 (* -1/9 (/ (* x y) (pow z 2)))) (pow z 2))
(/ (- (+ 1/3 (* 1/27 (/ (* (pow x 2) (pow y 2)) (pow z 4)))) (* 1/9 (/ (* x y) (pow z 2)))) (pow z 2))
(/ (- (+ 1/3 (* -1/81 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1/27 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (* 1/9 (/ (* 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))
(* 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))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(/ 1/3 (pow z 2))
(+ (* -1/9 (/ (* x y) (pow z 4))) (* 1/3 (/ 1 (pow z 2))))
(+ (* y (- (* 1/27 (/ (* (pow x 2) y) (pow z 6))) (* 1/9 (/ x (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))
(+ (* y (- (* y (- (* -1/81 (/ (* (pow x 3) y) (pow z 8))) (* -1/27 (/ (pow x 2) (pow z 6))))) (* 1/9 (/ x (pow z 4))))) (* 1/3 (/ 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 (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* x y)
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(/ 1 (* x y))
(/ (+ (* -3 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) y)
(/ (- (+ (* 9 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (/ 1 x)) (* 3 (/ (pow z 2) (* (pow x 2) y)))) y)
(/ (- (+ (* -27 (/ (pow z 6) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -9 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 3 (/ (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 (+ (* -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 (+ (* -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))))
(/ 1 (* x y))
(* -1 (/ (- (* 3 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (- (* 9 (/ (pow z 4) (* (pow x 3) y))) (* 3 (/ (pow z 2) (pow x 2)))) y)) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (pow z 6) (* (pow x 4) y))) (* 9 (/ (pow z 4) (pow x 3)))) y)) (* 3 (/ (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))
(* 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))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(/ 1/3 (pow z 2))
(+ (* -1/9 (/ (* x y) (pow z 4))) (* 1/3 (/ 1 (pow z 2))))
(+ (* x (- (* 1/27 (/ (* x (pow y 2)) (pow z 6))) (* 1/9 (/ y (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))
(+ (* x (- (* x (- (* -1/81 (/ (* x (pow y 3)) (pow z 8))) (* -1/27 (/ (pow y 2) (pow z 6))))) (* 1/9 (/ y (pow z 4))))) (* 1/3 (/ 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 (* 3 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x y)
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(/ 1 (* x y))
(/ (+ (* -3 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x)
(/ (- (+ (* 9 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (/ 1 y)) (* 3 (/ (pow z 2) (* x (pow y 2))))) x)
(/ (- (+ (* -27 (/ (pow z 6) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -9 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 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 (+ (* -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 (+ (* -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))))
(/ 1 (* x y))
(* -1 (/ (- (* 3 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (* 9 (/ (pow z 4) (* x (pow y 3)))) (* 3 (/ (pow z 2) (pow y 2)))) x)) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (pow z 6) (* x (pow y 4)))) (* 9 (/ (pow z 4) (pow y 3)))) x)) (* 3 (/ (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))
(* 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))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(+ (* -3 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (/ 1 (* x y)))
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -3 binary64) x) z) (/.f64 (/.f64 z y) y) (/.f64 #s(literal 1 binary64) y)) x)
(+ (* (pow z 2) (- (* 9 (/ (pow z 2) (* (pow x 3) (pow y 3)))) (* 3 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -3 binary64) x) z) (/.f64 (/.f64 z y) y) (/.f64 #s(literal 1 binary64) y)) x))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -27 (/ (pow z 2) (* (pow x 4) (pow y 4)))) (* 9 (/ 1 (* (pow x 3) (pow y 3)))))) (* 3 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (.f64 (/.f64 #s(literal -27 binary64) (pow.f64 y #s(literal 4 binary64))) z) (/.f64 z (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 (.f64 (/.f64 #s(literal -3 binary64) x) z) (/.f64 (/.f64 z y) y) (/.f64 #s(literal 1 binary64) 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 y z) (/.f64 x z) #s(literal 3 binary64)) (.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 y z) (/.f64 x z) #s(literal 3 binary64)) (.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 y z) (/.f64 x z) #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 y z) (/.f64 x z) #s(literal 3 binary64)) (.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 y z) (/.f64 x z) #s(literal 3 binary64)) (.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 y z) (/.f64 x z) #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 y z) (/.f64 x z) #s(literal 3 binary64)) (.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 y z) (/.f64 x z) #s(literal 3 binary64)) (.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 y z) (/.f64 x z) #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 y z) (/.f64 x z) #s(literal 2 binary64)) (.f64 z z))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 y z) (/.f64 x z) #s(literal 2 binary64)) (.f64 z z))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 y z) (/.f64 x z) #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 y z) (/.f64 x z) #s(literal 3 binary64)) (.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 y z) (/.f64 x z) #s(literal 3 binary64)) (.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 y z) (/.f64 x z) #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 y z) (/.f64 x z) #s(literal 3 binary64)) (.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 y z) (/.f64 x z) #s(literal 3 binary64)) (.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 y z) (/.f64 x z) #s(literal 3 binary64)) (.f64 z z))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(/ (+ 1/3 (* -1/9 (/ (* x y) (pow z 2)))) (pow z 2))
(/.f64 (fma.f64 (.f64 #s(literal -1/9 binary64) (/.f64 y z)) (/.f64 x z) #s(literal 1/3 binary64)) (.f64 z z))
(/ (- (+ 1/3 (* 1/27 (/ (* (pow x 2) (pow y 2)) (pow z 4)))) (* 1/9 (/ (* x y) (pow z 2)))) (pow z 2))
(/.f64 (fma.f64 (.f64 #s(literal -1/9 binary64) (/.f64 y z)) (/.f64 x z) (fma.f64 (.f64 #s(literal 1/27 binary64) (.f64 y (/.f64 y (pow.f64 z #s(literal 4 binary64))))) (.f64 x x) #s(literal 1/3 binary64))) (*.f64 z z))
(/ (- (+ 1/3 (* -1/81 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1/27 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (* 1/9 (/ (* x y) (pow z 2))))) (pow z 2))
(/.f64 (fma.f64 (.f64 #s(literal -1/9 binary64) (/.f64 y z)) (/.f64 x z) (fma.f64 (.f64 #s(literal 1/27 binary64) (.f64 y (/.f64 y (pow.f64 z #s(literal 4 binary64))))) (.f64 x x) (fma.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/81 binary64) (pow.f64 z #s(literal 6 binary64))) #s(literal 1/3 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 y z) (/.f64 x z) #s(literal 3 binary64)) (.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 y z) (/.f64 x z) #s(literal 3 binary64)) (.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 y z) (/.f64 x z) #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 y z) (/.f64 x z) #s(literal 3 binary64)) (.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 y z) (/.f64 x z) #s(literal 3 binary64)) (.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 y z) (/.f64 x z) #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 y z) (/.f64 x z) #s(literal 3 binary64)) (.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 y z) (/.f64 x z) #s(literal 3 binary64)) (.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 y z) (/.f64 x z) #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 y z) (/.f64 x z) #s(literal 2 binary64)) (.f64 z z))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 y z) (/.f64 x z) #s(literal 2 binary64)) (.f64 z z))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 y z) (/.f64 x z) #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 y z) (/.f64 x z) #s(literal 3 binary64)) (.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 y z) (/.f64 x z) #s(literal 3 binary64)) (.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 y z) (/.f64 x z) #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 y z) (/.f64 x z) #s(literal 3 binary64)) (.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 y z) (/.f64 x z) #s(literal 3 binary64)) (.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 y z) (/.f64 x z) #s(literal 3 binary64)) (.f64 z z))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(/ (+ 1/3 (* -1/9 (/ (* x y) (pow z 2)))) (pow z 2))
(/.f64 (fma.f64 (.f64 #s(literal -1/9 binary64) (/.f64 y z)) (/.f64 x z) #s(literal 1/3 binary64)) (.f64 z z))
(/ (- (+ 1/3 (* 1/27 (/ (* (pow x 2) (pow y 2)) (pow z 4)))) (* 1/9 (/ (* x y) (pow z 2)))) (pow z 2))
(/.f64 (fma.f64 (.f64 #s(literal -1/9 binary64) (/.f64 y z)) (/.f64 x z) (fma.f64 (.f64 #s(literal 1/27 binary64) (.f64 y (/.f64 y (pow.f64 z #s(literal 4 binary64))))) (.f64 x x) #s(literal 1/3 binary64))) (*.f64 z z))
(/ (- (+ 1/3 (* -1/81 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1/27 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (* 1/9 (/ (* x y) (pow z 2))))) (pow z 2))
(/.f64 (fma.f64 (.f64 #s(literal -1/9 binary64) (/.f64 y z)) (/.f64 x z) (fma.f64 (.f64 #s(literal 1/27 binary64) (.f64 y (/.f64 y (pow.f64 z #s(literal 4 binary64))))) (.f64 x x) (fma.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/81 binary64) (pow.f64 z #s(literal 6 binary64))) #s(literal 1/3 binary64)))) (.f64 z z))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(+ (* 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 (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 z) #s(literal 3 binary64) (.f64 y x))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.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 z) #s(literal 3 binary64) (.f64 y x))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.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))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(+ (* 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)) (* 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))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(+ (* -1/9 (/ (* x y) (pow z 4))) (* 1/3 (/ 1 (pow z 2))))
(fma.f64 (.f64 (/.f64 y (pow.f64 z #s(literal 4 binary64))) x) #s(literal -1/9 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 z z)))
(+ (* y (- (* 1/27 (/ (* (pow x 2) y) (pow z 6))) (* 1/9 (/ x (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))
(fma.f64 (fma.f64 (.f64 (.f64 #s(literal 1/27 binary64) x) y) (/.f64 y (pow.f64 z #s(literal 6 binary64))) (.f64 (/.f64 y (pow.f64 z #s(literal 4 binary64))) #s(literal -1/9 binary64))) x (/.f64 #s(literal 1/3 binary64) (.f64 z z)))
(+ (* y (- (* y (- (* -1/81 (/ (* (pow x 3) y) (pow z 8))) (* -1/27 (/ (pow x 2) (pow z 6))))) (* 1/9 (/ x (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/27 binary64) x) (/.f64 x (pow.f64 z #s(literal 6 binary64))) (.f64 (.f64 #s(literal -1/81 binary64) (/.f64 y (pow.f64 z #s(literal 8 binary64)))) (pow.f64 x #s(literal 3 binary64)))) y (.f64 (/.f64 x (pow.f64 z #s(literal 4 binary64))) #s(literal -1/9 binary64))) y (/.f64 #s(literal 1/3 binary64) (*.f64 z z)))
(* x y)
(*.f64 y x)
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(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
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(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(* y (+ x (* 3 (/ (pow z 2) y))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(* x y)
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(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
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(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(* x y)
(*.f64 y x)
(* x y)
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(* x y)
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(* x y)
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(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(* x y)
(*.f64 y x)
(* y (+ x (* 2 (/ (pow z 2) y))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 2 binary64) x) y)
(* y (+ x (* 2 (/ (pow z 2) y))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 2 binary64) x) y)
(* y (+ x (* 2 (/ (pow z 2) y))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 2 binary64) x) y)
(* x y)
(*.f64 y x)
(* y (+ x (* 3 (/ (pow z 2) y))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(* y (+ x (* 3 (/ (pow z 2) y))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(* y (+ x (* 3 (/ (pow z 2) y))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(* x y)
(*.f64 y x)
(* y (+ x (* 3 (/ (pow z 2) y))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(* y (+ x (* 3 (/ (pow z 2) y))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(* y (+ x (* 3 (/ (pow z 2) y))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ (+ (* -3 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) y)
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -3 binary64) x) z) (/.f64 (/.f64 z y) y) (/.f64 #s(literal 1 binary64) y)) x)
(/ (- (+ (* 9 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (/ 1 x)) (* 3 (/ (pow z 2) (* (pow x 2) y)))) y)
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) (/.f64 z x)) (/.f64 z x) (.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) y))) y) (/.f64 #s(literal 1 binary64) x)) y)
(/ (- (+ (* -27 (/ (pow z 6) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -9 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 3 (/ (pow z 2) (* (pow x 2) y))))) y)
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) (/.f64 z x)) (/.f64 z x) (.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) y))) y) (/.f64 #s(literal 1 binary64) x))) y)
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(* x y)
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(* x y)
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(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
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(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 2 binary64) x) y)
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 2 binary64) x) y)
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 2 binary64) x) y)
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(* -1 (/ (- (* 3 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) y))
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -3 binary64) x) z) (/.f64 (/.f64 z y) y) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (/ (- (* -1 (/ (- (* 9 (/ (pow z 4) (* (pow x 3) y))) (* 3 (/ (pow z 2) (pow x 2)))) y)) (/ 1 x)) y))
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) (/.f64 z x)) (/.f64 z x) (.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) y))) y) (/.f64 #s(literal 1 binary64) x)) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (pow z 6) (* (pow x 4) y))) (* 9 (/ (pow z 4) (pow x 3)))) y)) (* 3 (/ (pow z 2) (pow x 2)))) y)) (/ 1 x)) y))
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) (/.f64 z x)) (/.f64 z x) (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) y) (pow.f64 x #s(literal 4 binary64))) #s(literal -27 binary64) (.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 3 binary64))))) y)) y) (/.f64 #s(literal 1 binary64) x)) y)
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(+ (* 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 (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 z) #s(literal 3 binary64) (.f64 y x))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.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 z) #s(literal 3 binary64) (.f64 y x))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.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))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(+ (* 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)) (* 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))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(+ (* -1/9 (/ (* x y) (pow z 4))) (* 1/3 (/ 1 (pow z 2))))
(fma.f64 (.f64 (/.f64 y (pow.f64 z #s(literal 4 binary64))) x) #s(literal -1/9 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 z z)))
(+ (* x (- (* 1/27 (/ (* x (pow y 2)) (pow z 6))) (* 1/9 (/ y (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))
(fma.f64 (fma.f64 (.f64 (.f64 #s(literal 1/27 binary64) x) y) (/.f64 y (pow.f64 z #s(literal 6 binary64))) (.f64 (/.f64 y (pow.f64 z #s(literal 4 binary64))) #s(literal -1/9 binary64))) x (/.f64 #s(literal 1/3 binary64) (.f64 z z)))
(+ (* x (- (* x (- (* -1/81 (/ (* x (pow y 3)) (pow z 8))) (* -1/27 (/ (pow y 2) (pow z 6))))) (* 1/9 (/ y (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/27 binary64) y) (/.f64 y (pow.f64 z #s(literal 6 binary64))) (.f64 (.f64 #s(literal -1/81 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 z #s(literal 8 binary64))))) x (.f64 (/.f64 y (pow.f64 z #s(literal 4 binary64))) #s(literal -1/9 binary64))) x (/.f64 #s(literal 1/3 binary64) (*.f64 z z)))
(* 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 (+ (* 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 (* 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 (* 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)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ (+ (* -3 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x)
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -3 binary64) x) z) (/.f64 (/.f64 z y) y) (/.f64 #s(literal 1 binary64) y)) x)
(/ (- (+ (* 9 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (/ 1 y)) (* 3 (/ (pow z 2) (* x (pow y 2))))) x)
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) (/.f64 z y)) (/.f64 z y) (.f64 (/.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) x))) x) (/.f64 #s(literal 1 binary64) y)) x)
(/ (- (+ (* -27 (/ (pow z 6) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -9 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 3 (/ (pow z 2) (* x (pow y 2)))))) x)
(/.f64 (fma.f64 (/.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) (/.f64 z y)) (/.f64 z y) (.f64 (/.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) x))) x) (/.f64 #s(literal 1 binary64) 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 (/ (+ (* 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 (+ (* -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 (+ (* -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)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(* -1 (/ (- (* 3 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x))
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -3 binary64) x) z) (/.f64 (/.f64 z y) y) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (/ (- (* -1 (/ (- (* 9 (/ (pow z 4) (* x (pow y 3)))) (* 3 (/ (pow z 2) (pow y 2)))) x)) (/ 1 y)) x))
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) (/.f64 z y)) (/.f64 z y) (.f64 (/.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) x))) x) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (pow z 6) (* x (pow y 4)))) (* 9 (/ (pow z 4) (pow y 3)))) x)) (* 3 (/ (pow z 2) (pow y 2)))) x)) (/ 1 y)) x))
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) (/.f64 z y)) (/.f64 z y) (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) x) (pow.f64 y #s(literal 4 binary64))) #s(literal -27 binary64) (.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 3 binary64))))) x)) x) (/.f64 #s(literal 1 binary64) y)) x)

rewrite231.0ms (3.3%)

Memory

2.3MiB live, 215.6MiB allocated

Rules

7 828×	`lower-fma.f32`
7 824×	`lower-fma.f64`
4 310×	`lower-*.f32`
4 304×	`lower-*.f64`
3 424×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	102
0	30	98
1	130	92
2	1012	83
0	8412	80

Stop Event

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

Counts

10 → 722

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 #s(literal 3 binary64) (.f64 z z) (.f64 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 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)))

Outputs
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eval288.0ms (4.1%)

Memory: -41.6MiB live, 289.4MiB allocated
Compiler: Compiled 32 027 to 1 557 computations (95.1% saved)

prune41.0ms (0.6%)

Memory

20.4MiB live, 132.8MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	1 380	5	1 385
Fresh	3	1	4
Picked	2	3	5
Done	0	0	0
Total	1 385	9	1 394

Accuracy

100.0%

Counts

1 394 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 x y))
▶	99.2%	(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
▶	77.1%	(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
✓	99.8%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
✓	99.1%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
	79.3%	(pow.f64 (pow.f64 (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 x y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
▶	56.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64)))))
▶	56.6%	#s(approx (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (.f64 (.f64 z z) #s(literal 3 binary64)))
✓	48.9%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Compiler

Compiled 128 to 117 computations (8.6% saved)

simplify8.0ms (0.1%)

Memory

21.5MiB live, 21.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 z z) #s(literal 3 binary64))
cost-diff	0	#s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 3 (* z z)) (* y x)) (.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))
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))
cost-diff	0	(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
cost-diff	0	(*.f64 z z)
cost-diff	0	(.f64 (.f64 z z) #s(literal 3 binary64))
cost-diff	0	#s(approx (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (.f64 (.f64 z z) #s(literal 3 binary64)))
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 z z (*.f64 y x))
cost-diff	0	(*.f64 #s(literal 2 binary64) z)
cost-diff	384	(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))

Rules

136×	`lower-fma.f32`
128×	`lower-fma.f64`
90×	`lower-*.f32`
78×	`lower-*.f64`
40×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	175
0	45	164
1	74	156
2	100	156
3	150	156
4	162	156
5	164	156
0	164	154

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize62.0ms (0.9%)

Memory

6.7MiB live, 158.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.1875	(.f64 (.f64 z z) #s(literal 3 binary64))
accuracy	0.3143852459588815	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64)))))
accuracy	1.0833284540138435	(/.f64 #s(literal 1 binary64) #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64))))
accuracy	27.71844984216161	#s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64)))
accuracy	0	(*.f64 z #s(literal 3 binary64))
accuracy	0	(*.f64 x y)
accuracy	0.5820257452111204	(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 x y))
accuracy	0	(*.f64 x y)
accuracy	0.0390625	(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
accuracy	32.679354207948464	#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))
accuracy	0	(*.f64 z z)
accuracy	0.1875	(.f64 (.f64 z z) #s(literal 3 binary64))
accuracy	27.71844984216161	#s(approx (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (.f64 (.f64 z z) #s(literal 3 binary64)))
accuracy	0	(*.f64 y x)
accuracy	0	(*.f64 #s(literal 2 binary64) z)
accuracy	0.03515625	(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
accuracy	0.5078069952111204	(fma.f64 z z (*.f64 y x))

Samples

43.0ms

256×

valid

Compiler

Compiled 150 to 26 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 15.0ms (60.1% of total)

ival-add: 7.0ms (28.1% of total)

ival-div: 3.0ms (12% of total)

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

exact: 0.0ms (0% of total)

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

series33.0ms (0.5%)

Memory

-22.2MiB live, 90.8MiB allocated

Counts

15 → 420

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) z) (patch (.f64 #s(literal 2 binary64) 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 y x) (patch (.f64 y x) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (.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 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y))) (patch (fma.f64 z z #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 x y))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y)) (patch #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())
#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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())

Outputs
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) (patch (fma.f64 (.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) (patch (fma.f64 (.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) (patch (fma.f64 (.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* 2 z) (taylor 0 z) (#s(alt (.f64 #s(literal 2 binary64) z) (patch (.f64 #s(literal 2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* 2 z) (taylor 0 z) (#s(alt (.f64 #s(literal 2 binary64) z) (patch (.f64 #s(literal 2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* 2 z) (taylor 0 z) (#s(alt (.f64 #s(literal 2 binary64) z) (patch (.f64 #s(literal 2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* 2 z) (taylor 0 z) (#s(alt (.f64 #s(literal 2 binary64) z) (patch (.f64 #s(literal 2 binary64) 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 (* x y) (taylor 0 z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (.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 (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (.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 (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (.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 (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (.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 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y))) (patch (fma.f64 z z #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y))) (patch (fma.f64 z z #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y))) (patch (fma.f64 z z #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y))) (patch (fma.f64 z z #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y)) (patch #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y)) (patch #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y)) (patch #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y)) (patch #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 x y)) #<representation binary64>) () ())) ())
#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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (* 9 (/ (pow z 2) (* (pow x 3) (pow y 3)))) (* 3 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -27 (/ (pow z 2) (* (pow x 4) (pow y 4)))) (* 9 (/ 1 (* (pow x 3) (pow y 3)))))) (* 3 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (* 3 (* z z)) (* y x)) (.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 (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (* 3 (* z z)) (* y x)) (.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 (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (* 3 (* z z)) (* y x)) (.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 (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor inf z) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* 2 z) (taylor inf z) (#s(alt (.f64 #s(literal 2 binary64) z) (patch (.f64 #s(literal 2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* 2 z) (taylor inf z) (#s(alt (.f64 #s(literal 2 binary64) z) (patch (.f64 #s(literal 2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* 2 z) (taylor inf z) (#s(alt (.f64 #s(literal 2 binary64) z) (patch (.f64 #s(literal 2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* 2 z) (taylor inf z) (#s(alt (.f64 #s(literal 2 binary64) z) (patch (.f64 #s(literal 2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (fma.f64 z z (.f64 y x)) (patch (fma.f64 z z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (fma.f64 z z (.f64 y x)) (patch (fma.f64 z z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (fma.f64 z z (.f64 y x)) (patch (fma.f64 z z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (fma.f64 z z (.f64 y x)) (patch (fma.f64 z z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor inf z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (.f64 (.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (.f64 (.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (.f64 (.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (.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 #s(approx (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (.f64 (.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (.f64 (.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (.f64 (.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y))) (patch (fma.f64 z z #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y))) (patch (fma.f64 z z #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y))) (patch (fma.f64 z z #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y))) (patch (fma.f64 z z #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y)) (patch #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y)) (patch #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y)) (patch #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y)) (patch #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#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 (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#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 (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#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 (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#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 (* x y) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 3 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 9 (/ (pow z 4) (* x (pow y 3)))) (* 3 (/ (pow z 2) (pow y 2)))) x)) (/ 1 y)) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (pow z 6) (* x (pow y 4)))) (* 9 (/ (pow z 4) (pow y 3)))) x)) (* 3 (/ (pow z 2) (pow y 2)))) x)) (/ 1 y)) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	z	@	0	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (* (* z z) 3) (* z z) (+ (* z z) (+ (+ (* x y) (* z z)) (* z z))) (+ (+ (* x y) (* z z)) (* z z)) (* x y) (+ (* (* z 3) z) (* x y)) (* z 3) (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (/ 1 (+ (* 3 (* z z)) (* y x))) (+ (* 3 (* z z)) (* y x)))
1.0ms	z	@	-inf	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (* (* z z) 3) (* z z) (+ (* z z) (+ (+ (* x y) (* z z)) (* z z))) (+ (+ (* x y) (* z z)) (* z z)) (* x y) (+ (* (* z 3) z) (* x y)) (* z 3) (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (/ 1 (+ (* 3 (* z z)) (* y x))) (+ (* 3 (* z z)) (* y x)))
1.0ms	z	@	inf	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (* (* z z) 3) (* z z) (+ (* z z) (+ (+ (* x y) (* z z)) (* z z))) (+ (+ (* x y) (* z z)) (* z z)) (* x y) (+ (* (* z 3) z) (* x y)) (* z 3) (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (/ 1 (+ (* 3 (* z z)) (* y x))) (+ (* 3 (* z z)) (* y x)))
1.0ms	y	@	-inf	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (* (* z z) 3) (* z z) (+ (* z z) (+ (+ (* x y) (* z z)) (* z z))) (+ (+ (* x y) (* z z)) (* z z)) (* x y) (+ (* (* z 3) z) (* x y)) (* z 3) (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (/ 1 (+ (* 3 (* z z)) (* y x))) (+ (* 3 (* z z)) (* y x)))
1.0ms	x	@	-inf	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (* (* z z) 3) (* z z) (+ (* z z) (+ (+ (* x y) (* z z)) (* z z))) (+ (+ (* x y) (* z z)) (* z z)) (* x y) (+ (* (* z 3) z) (* x y)) (* z 3) (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (/ 1 (+ (* 3 (* z z)) (* y x))) (+ (* 3 (* z z)) (* y x)))

simplify481.0ms (6.9%)

Memory

-12.2MiB live, 257.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 330×	`lower-fma.f64`
10 330×	`lower-fma.f32`
5 452×	`lower-*.f64`
5 452×	`lower-*.f32`
4 558×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	284	3728
1	877	3720
2	2620	3700
3	7755	3700
0	8864	3440

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

Inputs
(* 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))
(* 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)
(+ (* 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))
(* 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))
(/ 1 (* x y))
(+ (* -3 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* 9 (/ (pow z 2) (* (pow x 3) (pow y 3)))) (* 3 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -27 (/ (pow z 2) (* (pow x 4) (pow y 4)))) (* 9 (/ 1 (* (pow x 3) (pow y 3)))))) (* 3 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* 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))))
(* 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))
(* 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 (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))))
(* 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))))
(/ 1/3 (pow z 2))
(/ (+ 1/3 (* -1/9 (/ (* x y) (pow z 2)))) (pow z 2))
(/ (- (+ 1/3 (* 1/27 (/ (* (pow x 2) (pow y 2)) (pow z 4)))) (* 1/9 (/ (* x y) (pow z 2)))) (pow z 2))
(/ (- (+ 1/3 (* -1/81 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1/27 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (* 1/9 (/ (* 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))
(* (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))
(* 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 (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))))
(* 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))))
(/ 1/3 (pow z 2))
(/ (+ 1/3 (* -1/9 (/ (* x y) (pow z 2)))) (pow z 2))
(/ (- (+ 1/3 (* 1/27 (/ (* (pow x 2) (pow y 2)) (pow z 4)))) (* 1/9 (/ (* x y) (pow z 2)))) (pow z 2))
(/ (- (+ 1/3 (* -1/81 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1/27 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (* 1/9 (/ (* 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))))
(+ (* 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))
(* 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))
(+ (* 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))
(* 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))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(/ 1/3 (pow z 2))
(+ (* -1/9 (/ (* x y) (pow z 4))) (* 1/3 (/ 1 (pow z 2))))
(+ (* y (- (* 1/27 (/ (* (pow x 2) y) (pow z 6))) (* 1/9 (/ x (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))
(+ (* y (- (* y (- (* -1/81 (/ (* (pow x 3) y) (pow z 8))) (* -1/27 (/ (pow x 2) (pow z 6))))) (* 1/9 (/ x (pow z 4))))) (* 1/3 (/ 1 (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))
(* 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)))
(* 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 (+ (* 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)
(* 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 (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(/ 1 (* x y))
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(/ (- (+ (* -27 (/ (pow z 6) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -9 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 3 (/ (pow z 2) (* (pow x 2) y))))) y)
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(/ (- (+ (* -27 (/ (pow z 6) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -9 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 3 (/ (pow z 2) (* x (pow y 2)))))) x)
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Outputs
(* x y)
(*.f64 y x)
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(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
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(fma.f64 z z (*.f64 y x))
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(fma.f64 z z (*.f64 y x))
(* x y)
(*.f64 y x)
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(/ (- (+ 1/3 (* -1/81 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1/27 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (* 1/9 (/ (* x y) (pow z 2))))) (pow z 2))
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(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(+ (* 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))
(* 2 (pow z 2))
(.f64 (.f64 #s(literal 2 binary64) z) z)
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (.f64 #s(literal 2 binary64) 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))
(* 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))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(+ (* -1/9 (/ (* x y) (pow z 4))) (* 1/3 (/ 1 (pow z 2))))
(fma.f64 (.f64 (/.f64 y (pow.f64 z #s(literal 4 binary64))) x) #s(literal -1/9 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 z z)))
(+ (* x (- (* 1/27 (/ (* x (pow y 2)) (pow z 6))) (* 1/9 (/ y (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/27 binary64) (.f64 y y)) (/.f64 x (pow.f64 z #s(literal 6 binary64))) (.f64 (/.f64 y (pow.f64 z #s(literal 4 binary64))) #s(literal -1/9 binary64))) x (/.f64 #s(literal 1/3 binary64) (.f64 z z)))
(+ (* x (- (* x (- (* -1/81 (/ (* x (pow y 3)) (pow z 8))) (* -1/27 (/ (pow y 2) (pow z 6))))) (* 1/9 (/ y (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/81 binary64) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 8 binary64))) (/.f64 (.f64 #s(literal 1/27 binary64) (.f64 y y)) (pow.f64 z #s(literal 6 binary64)))) x (.f64 (/.f64 y (pow.f64 z #s(literal 4 binary64))) #s(literal -1/9 binary64))) x (/.f64 #s(literal 1/3 binary64) (*.f64 z z)))
(* 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 (+ (* 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 z (/.f64 z x) y) x)
(* x (+ y (/ (pow z 2) x)))
(*.f64 (fma.f64 z (/.f64 z x) y) x)
(* x (+ y (/ (pow z 2) x)))
(*.f64 (fma.f64 z (/.f64 z x) 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 (+ (* 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)
(*.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 (* 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)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ (+ (* -3 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x)
(/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 z z) y) x) (/.f64 #s(literal -3 binary64) x) (/.f64 #s(literal 1 binary64) x)) y)
(/ (- (+ (* 9 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (/ 1 y)) (* 3 (/ (pow z 2) (* x (pow y 2))))) x)
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -3 binary64) z) y) (/.f64 z y) (.f64 (/.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) x))) x) (/.f64 #s(literal 1 binary64) y)) x)
(/ (- (+ (* -27 (/ (pow z 6) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -9 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 3 (/ (pow z 2) (* x (pow y 2)))))) x)
(/.f64 (fma.f64 (/.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -3 binary64) z) y) (/.f64 z y) (.f64 (/.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) x))) x) (/.f64 #s(literal 1 binary64) 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)
(* -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 z (/.f64 z x) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(*.f64 (fma.f64 z (/.f64 z x) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(*.f64 (fma.f64 z (/.f64 z x) 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 (/ (+ (* 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)
(* 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 (+ (* -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)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(* -1 (/ (- (* 3 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x))
(/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 z z) y) x) (/.f64 #s(literal -3 binary64) x) (/.f64 #s(literal 1 binary64) x)) y)
(* -1 (/ (- (* -1 (/ (- (* 9 (/ (pow z 4) (* x (pow y 3)))) (* 3 (/ (pow z 2) (pow y 2)))) x)) (/ 1 y)) x))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -3 binary64) z) y) (/.f64 z y) (.f64 (/.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) x))) x) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (pow z 6) (* x (pow y 4)))) (* 9 (/ (pow z 4) (pow y 3)))) x)) (* 3 (/ (pow z 2) (pow y 2)))) x)) (/ 1 y)) x))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -3 binary64) z) y) (/.f64 z y) (/.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 3 binary64))) (.f64 (/.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 6 binary64)) x))) (neg.f64 x))) x) (/.f64 #s(literal 1 binary64) 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)

rewrite386.0ms (5.5%)

Memory

-9.7MiB live, 218.6MiB allocated

Rules

13 372×	`lower-fma.f32`
13 364×	`lower-fma.f64`
4 232×	`lower-*.f32`
4 220×	`lower-*.f64`
4 046×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	148
0	45	137
1	194	129
2	1178	125
0	8537	123

Stop Event

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

Counts

15 → 584

Calls

Call 1

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

Outputs
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eval158.0ms (2.3%)

Memory: 49.1MiB live, 198.5MiB allocated
Compiler: Compiled 20 908 to 1 416 computations (93.2% saved)

prune110.0ms (1.6%)

Memory

-39.9MiB live, 134.4MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	1 100	3	1 103
Fresh	1	0	1
Picked	1	4	5
Done	1	2	3
Total	1 103	9	1 112

Accuracy

100.0%

Counts

1 112 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 x y))
▶	95.5%	(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y)))
✓	77.1%	(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
✓	99.8%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
✓	56.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 3 (* z z)) (* y x)) (.f64 (.f64 z z) #s(literal 3 binary64)))))
▶	56.6%	#s(approx (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (fma.f64 z (+.f64 z z) (*.f64 z z)))
✓	56.6%	#s(approx (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (.f64 (.f64 z z) #s(literal 3 binary64)))
▶	56.6%	#s(approx (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (.f64 (.f64 z #s(literal 3 binary64)) z))
✓	48.9%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Compiler

Compiled 72 to 66 computations (8.3% saved)

simplify238.0ms (3.4%)

Memory

3.3MiB live, 271.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y))
cost-diff	0	(*.f64 #s(literal 2 binary64) z)
cost-diff	0	(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y)))
cost-diff	704	(*.f64 (fma.f64 z (/.f64 z y) x) y)
cost-diff	-128	(+.f64 z z)
cost-diff	0	(*.f64 z z)
cost-diff	0	#s(approx (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (fma.f64 z (+.f64 z z) (*.f64 z z)))
cost-diff	384	(fma.f64 z (+.f64 z z) (*.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 (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (.f64 (.f64 z #s(literal 3 binary64)) z))

Rules

14 654×	`lower-fma.f32`
14 648×	`lower-fma.f64`
6 526×	`lower-*.f32`
6 516×	`lower-*.f64`
2 256×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	127
0	39	113
1	69	113
2	94	113
3	143	113
4	183	110
5	246	110
6	423	110
7	1284	110
8	2185	110
9	2625	110
10	3371	110
11	3831	110
12	4930	110
13	5375	110
14	6308	110
0	8226	103

Stop Event

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

Calls

Call 1

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

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

localize226.0ms (3.2%)

Memory

-2.3MiB live, 119.9MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y))
accuracy	0.03515625	(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y)))
accuracy	0.05859375	(fma.f64 z (/.f64 z y) x)
accuracy	3.0688323290080244	(*.f64 (fma.f64 z (/.f64 z y) x) y)
accuracy	0	(+.f64 z z)
accuracy	0	(*.f64 z z)
accuracy	0.08203125	(fma.f64 z (+.f64 z z) (*.f64 z z))
accuracy	27.71844984216161	#s(approx (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (fma.f64 z (+.f64 z z) (*.f64 z z)))
accuracy	0	(*.f64 z #s(literal 3 binary64))
accuracy	0.1484375	(.f64 (.f64 z #s(literal 3 binary64)) z)
accuracy	27.71844984216161	#s(approx (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (.f64 (.f64 z #s(literal 3 binary64)) z))

Samples

152.0ms

256×

valid

Compiler

Compiled 100 to 27 computations (73% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-div: 64.0ms (76.4% of total)

ival-mult: 14.0ms (16.7% of total)

ival-add: 6.0ms (7.2% of total)

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

exact: 0.0ms (0% of total)

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

series19.0ms (0.3%)

Memory

13.3MiB live, 50.9MiB allocated

Counts

12 → 288

Calls

Call 1

Inputs
#s(alt #s(approx (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (.f64 (.f64 z #s(literal 3 binary64)) z)) (patch #s(approx (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (.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 z (+.f64 z z) (.f64 z z)) (patch (fma.f64 z (+.f64 z z) (.f64 z z)) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (fma.f64 z (+.f64 z z) (.f64 z z))) (patch #s(approx (/ 1 (/ 1 (+ ( 3 (* z z)) (* y x)))) (fma.f64 z (+.f64 z z) (*.f64 z z))) #<representation binary64>) () ())
#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())
#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 z (/.f64 z y) x) y) (patch (.f64 (fma.f64 z (/.f64 z y) x) y) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (.f64 (fma.f64 z (/.f64 z y) x) y))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) z) (patch (.f64 #s(literal 2 binary64) z) #<representation binary64>) () ())
#s(alt #s(approx (+ (* z z) (* y x)) (.f64 (fma.f64 z (/.f64 z y) x) y)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y)) #<representation binary64>) () ())
#s(alt (fma.f64 z (/.f64 z y) x) (patch (fma.f64 z (/.f64 z y) x) #<representation binary64>) () ())

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

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	((/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (* (* z 3) z) (* z 3) (+ (* z (+ z z)) (* z z)) (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (* z z) (+ z z) (* (+ (* z (/ z y)) x) y) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (+ (* z (/ z y)) x))
2.0ms	z	@	-inf	((/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (* (* z 3) z) (* z 3) (+ (* z (+ z z)) (* z z)) (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (* z z) (+ z z) (* (+ (* z (/ z y)) x) y) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (+ (* z (/ z y)) x))
2.0ms	z	@	0	((/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (* (* z 3) z) (* z 3) (+ (* z (+ z z)) (* z z)) (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (* z z) (+ z z) (* (+ (* z (/ z y)) x) y) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (+ (* z (/ z y)) x))
1.0ms	y	@	-inf	((/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (* (* z 3) z) (* z 3) (+ (* z (+ z z)) (* z z)) (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (* z z) (+ z z) (* (+ (* z (/ z y)) x) y) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (+ (* z (/ z y)) x))
1.0ms	x	@	-inf	((/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (* (* z 3) z) (* z 3) (+ (* z (+ z z)) (* z z)) (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (* z z) (+ z z) (* (+ (* z (/ z y)) x) y) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (+ (* z (/ z y)) x))

simplify163.0ms (2.3%)

Memory

6.4MiB live, 167.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 182×	`lower-fma.f64`
9 182×	`lower-fma.f32`
3 476×	`lower-*.f64`
3 476×	`lower-*.f32`
1 270×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	1750
1	286	1750
2	854	1750
3	2924	1750
4	5940	1750
0	8157	1588

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 283

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

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

rewrite109.0ms (1.6%)

Memory

-0.7MiB live, 127.2MiB allocated

Rules

1 100×	`lower-fma.f32`
1 094×	`lower-fma.f64`
590×	`lower-*.f32`
580×	`lower-*.f64`
396×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	117
0	39	103
1	158	102
0	1070	97

Stop Event

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

Counts

12 → 202

Calls

Call 1

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

Outputs
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eval205.0ms (2.9%)

Memory: -12.4MiB live, 103.5MiB allocated
Compiler: Compiled 6 228 to 526 computations (91.6% saved)

prune22.0ms (0.3%)

Memory

22.2MiB live, 62.6MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	484	1	485
Fresh	0	0	0
Picked	1	2	3
Done	1	5	6
Total	486	8	494

Accuracy

100.0%

Counts

494 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.5%	(fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y)))
✓	99.1%	(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 x y))
✓	77.1%	(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
✓	99.8%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
✓	56.6%	#s(approx (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (fma.f64 z (+.f64 z z) (*.f64 z z)))
✓	56.6%	#s(approx (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (.f64 (.f64 z z) #s(literal 3 binary64)))
✓	56.6%	#s(approx (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (.f64 (.f64 z #s(literal 3 binary64)) z))
✓	48.9%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Compiler

Compiled 255 to 113 computations (55.7% saved)

regimes41.0ms (0.6%)

Memory

-17.0MiB live, 97.2MiB allocated

Counts

19 → 1

Calls

Call 1

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

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

Calls

6 calls:

8.0ms	(*.f64 z z)
7.0ms	x
7.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
6.0ms	z
6.0ms	y

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
99.8%	1	`(*.f64 x y)`
99.8%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes25.0ms (0.4%)

Memory

-0.1MiB live, 45.7MiB allocated

Counts

9 → 1

Calls

Call 1

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

Calls

6 calls:

7.0ms	z
4.0ms	y
4.0ms	x
3.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
3.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
99.1%	1	`x`
99.1%	1	`y`
99.1%	1	`z`
99.1%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
99.1%	1	`(*.f64 x y)`
99.1%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes40.0ms (0.6%)

Memory

4.8MiB live, 43.2MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

6 calls:

24.0ms	z
3.0ms	y
3.0ms	x
3.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
3.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
81.3%	3	`x`
81.6%	3	`y`
86.5%	2	`z`
85.4%	5	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
84.3%	3	`(*.f64 x y)`
86.5%	2	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes6.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	z
2.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
86.4%	2	`z`
86.4%	2	`(*.f64 z z)`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes29.0ms (0.4%)

Memory

-30.3MiB live, 8.3MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

26.0ms	z
2.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
85.6%	2	`z`
85.6%	2	`(*.f64 z z)`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes3.0ms (0%)

Memory

8.8MiB live, 8.8MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#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)))

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

2 calls:

2.0ms	z
1.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
85.5%	2	`z`
85.5%	2	`(*.f64 z z)`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes8.0ms (0.1%)

Memory

24.2MiB live, 24.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#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))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
48.9%	1	`x`
48.9%	1	`y`
48.9%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
48.9%	1	`(*.f64 x y)`
48.9%	1	`z`
48.9%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1063932223146687600.0	7.041696516716419e+22

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1063932223146687600.0	7.041696516716419e+22

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.6603279189499976e-111	1.7543389688110616e-110

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch11.0ms (0.2%)

Memory

-17.6MiB live, 19.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	5.6603279189499976e-111	1.7543389688110616e-110

Samples

6.0ms	68×	0	valid
1.0ms	5×	2	valid
1.0ms	7×	1	valid

Compiler

Compiled 54 to 79 computations (-46.3% saved)

Precisions

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

ival-add: 1.0ms (44.7% of total)

ival-mult: 1.0ms (44.7% of total)

adjust: 0.0ms (0% of total)

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

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

simplify59.0ms (0.8%)

Memory

-30.4MiB live, 68.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`-commutative-binary64-.f64`
2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	230
1	50	230

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y x (.f64 #s(literal 3 binary64) (.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)))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000000 binary64)) (fma.f64 z z #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 x y))) #s(approx (/ 1 (/ 1 (+ ( 3 (* z z)) (* y x)))) (fma.f64 z (+.f64 z z) (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000000 binary64)) (fma.f64 z z #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 x y))) #s(approx (/ 1 (/ 1 (+ ( 3 (* z z)) (* y x)))) (.f64 (.f64 z #s(literal 3 binary64)) z)))
(if (<=.f64 (.f64 z z) #s(literal 3384606560206073/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (/ 1 (/ 1 (+ ( 3 (* z z)) (* y x)))) (.f64 (.f64 z #s(literal 3 binary64)) z)))
(if (<=.f64 (.f64 z z) #s(literal 1438457788087581/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768 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))))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

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)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 x y)))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000000 binary64)) (fma.f64 z z #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 x y))) #s(approx (/ 1 (/ 1 (+ ( 3 (* z z)) (* y x)))) (fma.f64 z (+.f64 z z) (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000000 binary64)) (fma.f64 z z #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 x y))) #s(approx (/ 1 (/ 1 (+ ( 3 (* z z)) (* y x)))) (.f64 (.f64 z #s(literal 3 binary64)) z)))
(if (<=.f64 (.f64 z z) #s(literal 3384606560206073/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (/ 1 (/ 1 (+ ( 3 (* z z)) (* y x)))) (.f64 (.f64 z #s(literal 3 binary64)) z)))
(if (<=.f64 (.f64 z z) #s(literal 3384606560206073/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 x y)) #s(approx (/ 1 (/ 1 (+ ( 3 (* z z)) (* y x)))) (.f64 (.f64 z #s(literal 3 binary64)) z)))
(if (<=.f64 (.f64 z z) #s(literal 1438457788087581/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768 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 1438457788087581/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768 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))))
#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))

soundness1.2s (17.8%)

Memory

14.4MiB live, 729.2MiB allocated

Rules

14 204×	`lower-fma.f64`
14 204×	`lower-fma.f32`
13 372×	`lower-fma.f32`
13 364×	`lower-fma.f64`
10 458×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	284	3728
1	877	3720
2	2620	3700
3	7755	3700
0	8864	3440
0	70	844
1	244	844
2	750	844
3	2131	844
4	5841	844
0	8161	763
0	30	148
0	45	137
1	194	129
2	1178	125
0	8537	123
0	20	102
0	30	98
1	130	92
2	1012	83
0	8412	80
0	268	2982
1	812	2974
2	2438	2950
0	8344	2742
0	8	36
0	13	36
1	55	32
2	517	26
3	7580	26
0	8184	23

Stop Event

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

Compiler

Compiled 316 to 164 computations (48.1% saved)

preprocess226.0ms (3.2%)

Memory

0.8MiB live, 115.2MiB allocated

Remove

(sort x y)

(abs z)

Compiler

Compiled 364 to 204 computations (44% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample919.0ms (13.1%)

explain186.0ms (2.7%)

preprocess77.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize25.0ms (0.4%)

series13.0ms (0.2%)

simplify220.0ms (3.1%)

rewrite386.0ms (5.5%)

eval78.0ms (1.1%)

prune15.0ms (0.2%)

simplify7.0ms (0.1%)

localize77.0ms (1.1%)

series31.0ms (0.4%)

simplify490.0ms (7%)

rewrite231.0ms (3.3%)

eval288.0ms (4.1%)

prune41.0ms (0.6%)

simplify8.0ms (0.1%)

localize62.0ms (0.9%)

series33.0ms (0.5%)

simplify481.0ms (6.9%)

rewrite386.0ms (5.5%)

eval158.0ms (2.3%)

prune110.0ms (1.6%)

simplify238.0ms (3.4%)

localize226.0ms (3.2%)

series19.0ms (0.3%)

simplify163.0ms (2.3%)

rewrite109.0ms (1.6%)

eval205.0ms (2.9%)

prune22.0ms (0.3%)

regimes41.0ms (0.6%)

regimes25.0ms (0.4%)

regimes40.0ms (0.6%)

regimes6.0ms (0.1%)

regimes29.0ms (0.4%)

regimes3.0ms (0%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch11.0ms (0.2%)

simplify59.0ms (0.8%)

soundness1.2s (17.8%)

preprocess226.0ms (3.2%)

end0.0ms (0%)

Profiling