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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample1.1s (13.4%)

Memory

-23.2MiB live, 1 049.9MiB allocated

Samples

646.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 417.0ms

ival-add: 294.0ms (70.5% of total)

ival-mult: 113.0ms (27.1% of total)

ival-true: 6.0ms (1.4% of total)

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

Bogosity

explain187.0ms (2.2%)

Memory

39.8MiB live, 152.0MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x y) (.f64 z z))`	nan-rescue	6	0
↳	`(*.f64 x y)`	overflow	39
↳	`(*.f64 z z)`	overflow	71
`+.f64`	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`	nan-rescue	2	0
↳	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	overflow	101
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	101
↳	`(*.f64 x y)`	overflow	39
↳	`(*.f64 z z)`	overflow	142
↳	`(*.f64 z z)`	overflow	71
`+.f64`	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	nan-rescue	2	0
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	101
↳	`(*.f64 x y)`	overflow	39
↳	`(*.f64 z z)`	overflow	71
↳	`(*.f64 z z)`	overflow	71

Confusion

	Predicted +	Predicted -
+	6	0
-	0	250

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	250
1	4
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

29.0ms

512×

valid

Compiler

Compiled 103 to 28 computations (72.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 7.0ms (50% of total)

ival-add: 6.0ms (42.8% of total)

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

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

preprocess74.0ms (0.9%)

Memory

-16.6MiB live, 65.0MiB allocated

Algorithm

1×	egg-herbie

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

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.5%	(+.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%)

Memory

5.4MiB live, 5.5MiB 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))

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

localize167.0ms (2%)

Memory

-18.0MiB live, 20.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0.5061871314288536	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
accuracy	0.5624958716604116	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
accuracy	1.3007771216604118	(+.f64 (.f64 x y) (.f64 z z))

Samples

161.0ms

256×

valid

Compiler

Compiled 44 to 10 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 154.0ms

ival-add: 149.0ms (96.7% of total)

ival-mult: 4.0ms (2.6% of total)

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

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

series9.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB 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
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	@	0	((+ (+ (+ (* 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	x	@	inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* x y) (* z z)) (* x y))

simplify124.0ms (1.5%)

Memory

3.6MiB live, 88.7MiB allocated

Algorithm

1×	egg-herbie

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)

rewrite188.0ms (2.2%)

Memory

15.4MiB live, 242.8MiB allocated

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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eval112.0ms (1.3%)

Memory: -18.1MiB live, 67.3MiB allocated
Compiler: Compiled 11 480 to 1 016 computations (91.1% saved)

prune33.0ms (0.4%)

Memory

-6.7MiB live, 31.6MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	449	7	456
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	450	7	457

Accuracy

100.0%

Counts

457 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	20.4%	(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (.f64 y x)))
▶	98.4%	(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
▶	97.6%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
	56.8%	(.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64))))
▶	98.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x)))
▶	55.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
▶	51.2%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Compiler

Compiled 166 to 130 computations (21.7% saved)

simplify5.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	142
0	36	145
1	60	118
2	72	118
3	80	118
0	80	118

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

localize55.0ms (0.6%)

Memory

30.7MiB live, 102.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z z)
accuracy	0	(*.f64 y x)
accuracy	1.3616558814288537	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
accuracy	0	(*.f64 z #s(literal 3 binary64))
accuracy	0	(*.f64 y x)
accuracy	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x)))
accuracy	1.0764927501906827	(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))
accuracy	0	(*.f64 z z)
accuracy	0.12890625	(.f64 (.f64 z z) #s(literal 3 binary64))
accuracy	28.679862074035345	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
accuracy	0	(*.f64 y x)
accuracy	31.244674565590536	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
accuracy	0	(*.f64 y x)
accuracy	0	(*.f64 #s(literal 2 binary64) z)
accuracy	0.03125	(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
accuracy	1.0038952404222408	(fma.f64 z z (*.f64 y x))

Samples

42.0ms

256×

valid

Compiler

Compiled 130 to 23 computations (82.3% saved)

Precisions

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

ival-mult: 13.0ms (62.3% of total)

ival-add: 7.0ms (33.6% of total)

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

exact: 0.0ms (0% of total)

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

series24.0ms (0.3%)

Memory

-29.4MiB live, 22.6MiB allocated

Counts

12 → 324

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

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

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	z	@	inf	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* z 3) z) (* y x)) (* z 3) (+ (* 3 (* z z)) (* y x)))
1.0ms	z	@	-inf	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* z 3) z) (* y x)) (* z 3) (+ (* 3 (* z z)) (* y x)))
1.0ms	z	@	0	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* z 3) z) (* y x)) (* z 3) (+ (* 3 (* z z)) (* y x)))
1.0ms	y	@	-inf	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* z 3) z) (* y x)) (* z 3) (+ (* 3 (* z z)) (* y x)))
1.0ms	x	@	-inf	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* z 3) z) (* y x)) (* z 3) (+ (* 3 (* z z)) (* y x)))

simplify221.0ms (2.6%)

Memory

3.4MiB live, 114.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	2124
1	248	2124
2	752	2124
3	2152	2124
4	5623	2124
0	8195	1935

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

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

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

rewrite375.0ms (4.4%)

Memory

6.6MiB live, 279.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	114
0	36	117
1	148	90
2	1069	90
0	8451	90

Stop Event

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

Counts

12 → 607

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

Outputs
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eval422.0ms (4.9%)

Memory: -2.5MiB live, 235.6MiB allocated
Compiler: Compiled 22 298 to 996 computations (95.5% saved)

prune42.0ms (0.5%)

Memory

36.7MiB live, 108.6MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	1 024	3	1 027
Fresh	0	2	2
Picked	2	3	5
Done	0	0	0
Total	1 026	8	1 034

Accuracy

100.0%

Counts

1 034 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	20.4%	(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (.f64 y x)))
▶	98.4%	(fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y)))
▶	56.8%	(.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64))))
✓	98.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x)))
▶	55.2%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
✓	55.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
▶	55.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
✓	51.2%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Compiler

Compiled 161 to 122 computations (24.2% saved)

simplify535.0ms (6.3%)

Memory

-26.4MiB live, 243.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 z #s(literal 6 binary64))
cost-diff	0	(*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64)))
cost-diff	192	(+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))
cost-diff	320	(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (.f64 y x)))
cost-diff	0	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
cost-diff	64	(fma.f64 y x #s(literal 0 binary64))
cost-diff	320	(.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64))))
cost-diff	8192	(*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64)))
cost-diff	-128	(+.f64 z z)
cost-diff	0	(*.f64 z z)
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (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 (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
cost-diff	-128	(+.f64 z z)
cost-diff	0	(*.f64 x y)
cost-diff	0	(fma.f64 z z (*.f64 x y))
cost-diff	384	(fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	238
0	65	215
1	120	171
2	228	171
3	531	171
4	1989	171
5	3230	171
6	3988	171
7	4244	171
8	4736	171
9	4915	171
10	6796	171
11	6967	171
12	7148	171
13	7379	171
0	9271	170

Stop Event

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

Calls

Call 1

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

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

localize192.0ms (2.2%)

Memory

-32.2MiB live, 121.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64)))
accuracy	0.32329728959171417	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))))
accuracy	1.0038952404222408	(fma.f64 z z (*.f64 y x))
accuracy	46.219905587803154	(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (.f64 y x)))
accuracy	0.6708219046957103	(pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64))
accuracy	1.0038952404222408	(fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))
accuracy	1.3616558814288537	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
accuracy	26.793249357184184	(*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64)))
accuracy	0	(+.f64 z z)
accuracy	0	(*.f64 z z)
accuracy	0.046875	(fma.f64 z (+.f64 z z) (*.f64 z z))
accuracy	28.679862074035345	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
accuracy	0	(*.f64 z #s(literal 3 binary64))
accuracy	0.1328125	(.f64 (.f64 z #s(literal 3 binary64)) z)
accuracy	28.679862074035345	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
accuracy	0	(+.f64 z z)
accuracy	0	(*.f64 x y)
accuracy	0.03125	(fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y)))
accuracy	1.0038952404222408	(fma.f64 z z (*.f64 x y))

Samples

127.0ms

256×

valid

Compiler

Compiled 247 to 40 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-mult: 84.0ms (77.3% of total)

ival-add: 14.0ms (12.9% of total)

ival-pow: 8.0ms (7.4% of total)

ival-div: 2.0ms (1.8% of total)

exact: 1.0ms (0.9% of total)

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

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

series39.0ms (0.5%)

Memory

29.3MiB live, 63.6MiB allocated

Counts

22 → 552

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	z	@	-inf	((+ (* z (+ z z)) (+ (* z z) (* x y))) (+ (* z z) (* x y)) (* x y) (+ z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (* (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1)) (* (+ (* 3 (* z z)) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1))) (+ (* y x) 0) (+ (* 3 (* z z)) (* y x)) (+ (* (* 2 (pow z 6)) (/ 1 (+ 0 (pow z 4)))) (+ (* z z) (* y x))) (+ 0 (pow z 4)) (* 2 (pow z 6)) (pow z 6) (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1) (+ (* z z) (* y x)) (/ 1 (+ 0 (pow z 4))))
3.0ms	z	@	inf	((+ (* z (+ z z)) (+ (* z z) (* x y))) (+ (* z z) (* x y)) (* x y) (+ z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (* (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1)) (* (+ (* 3 (* z z)) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1))) (+ (* y x) 0) (+ (* 3 (* z z)) (* y x)) (+ (* (* 2 (pow z 6)) (/ 1 (+ 0 (pow z 4)))) (+ (* z z) (* y x))) (+ 0 (pow z 4)) (* 2 (pow z 6)) (pow z 6) (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1) (+ (* z z) (* y x)) (/ 1 (+ 0 (pow z 4))))
2.0ms	z	@	0	((+ (* z (+ z z)) (+ (* z z) (* x y))) (+ (* z z) (* x y)) (* x y) (+ z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (* (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1)) (* (+ (* 3 (* z z)) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1))) (+ (* y x) 0) (+ (* 3 (* z z)) (* y x)) (+ (* (* 2 (pow z 6)) (/ 1 (+ 0 (pow z 4)))) (+ (* z z) (* y x))) (+ 0 (pow z 4)) (* 2 (pow z 6)) (pow z 6) (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1) (+ (* z z) (* y x)) (/ 1 (+ 0 (pow z 4))))
1.0ms	x	@	-inf	((+ (* z (+ z z)) (+ (* z z) (* x y))) (+ (* z z) (* x y)) (* x y) (+ z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (* (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1)) (* (+ (* 3 (* z z)) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1))) (+ (* y x) 0) (+ (* 3 (* z z)) (* y x)) (+ (* (* 2 (pow z 6)) (/ 1 (+ 0 (pow z 4)))) (+ (* z z) (* y x))) (+ 0 (pow z 4)) (* 2 (pow z 6)) (pow z 6) (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1) (+ (* z z) (* y x)) (/ 1 (+ 0 (pow z 4))))
1.0ms	y	@	-inf	((+ (* z (+ z z)) (+ (* z z) (* x y))) (+ (* z z) (* x y)) (* x y) (+ z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (* (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1)) (* (+ (* 3 (* z z)) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1))) (+ (* y x) 0) (+ (* 3 (* z z)) (* y x)) (+ (* (* 2 (pow z 6)) (/ 1 (+ 0 (pow z 4)))) (+ (* z z) (* y x))) (+ 0 (pow z 4)) (* 2 (pow z 6)) (pow z 6) (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1) (+ (* z z) (* y x)) (/ 1 (+ 0 (pow z 4))))

simplify205.0ms (2.4%)

Memory

20.2MiB live, 251.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	237	4168
1	731	4136
2	2162	4096
3	7586	4084
0	8781	3828

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 552

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

rewrite361.0ms (4.2%)

Memory

-32.9MiB live, 304.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	203
0	65	175
1	305	112
2	2702	112
0	8944	108

Stop Event

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

Counts

22 → 1 928

Calls

Call 1

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

Outputs
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eval719.0ms (8.4%)

Memory: 21.4MiB live, 756.1MiB allocated
Compiler: Compiled 86 175 to 4 298 computations (95% saved)

prune71.0ms (0.8%)

Memory

12.2MiB live, 206.5MiB allocated

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	2 894	4	2 898
Fresh	0	0	0
Picked	2	3	5
Done	0	3	3
Total	2 896	10	2 906

Accuracy

100.0%

Counts

2 906 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.4%	(fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y)))
▶	28.2%	(.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 (fma.f64 y x (.f64 z z)) (pow.f64 (fma.f64 y x (.f64 z z)) #s(literal 2 binary64)))))
▶	28.5%	(.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(approx (pow (+ (* z z) (+ (* y x) 0)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
✓	98.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x)))
✓	55.2%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
▶	36.0%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z #s(literal 0 binary64)))
▶	92.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y))
✓	55.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
✓	55.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
✓	51.2%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Compiler

Compiled 116 to 87 computations (25% saved)

simplify162.0ms (1.9%)

Memory

-31.5MiB live, 145.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	64	(fma.f64 y x #s(literal 0 binary64))
cost-diff	320	(.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 (fma.f64 y x (.f64 z z)) (pow.f64 (fma.f64 y x (.f64 z z)) #s(literal 2 binary64)))))
cost-diff	1408	(/.f64 (fma.f64 y x (.f64 z z)) (pow.f64 (fma.f64 y x (.f64 z z)) #s(literal 2 binary64)))
cost-diff	8192	(.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 (fma.f64 y x (.f64 z z)) (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 2 binary64))))
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 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(approx (pow (+ (* z z) (+ (* y x) 0)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
cost-diff	64	(fma.f64 y x #s(literal 0 binary64))
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z #s(literal 0 binary64)))
cost-diff	64	(fma.f64 z z #s(literal 0 binary64))
cost-diff	0	(/.f64 (*.f64 z z) y)
cost-diff	0	(fma.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64) x)
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y))
cost-diff	704	(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	37	303
0	59	250
1	111	246
2	244	231
3	815	231
4	3503	221
5	7132	221
6	7586	221
0	8036	221

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64) x)
(/.f64 (*.f64 z z) y)
(*.f64 z z)
z
y
#s(literal 3 binary64)
x
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z #s(literal 0 binary64)))
(fma.f64 z z #s(literal 0 binary64))
z
#s(literal 0 binary64)
(.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(approx (pow (+ (* z z) (+ (* y x) 0)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
#s(literal 3 binary64)
(*.f64 z z)
z
(*.f64 y x)
y
x
(.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(approx (pow (+ ( z z) (+ (* y x) 0)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z z))))
(fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))
(fma.f64 y x #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (pow (+ (* z z) (+ (* y x) 0)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (*.f64 z z))
#s(literal 1 binary64)
(.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 (fma.f64 y x (.f64 z z)) (pow.f64 (fma.f64 y x (.f64 z z)) #s(literal 2 binary64)))))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
#s(literal 3 binary64)
(*.f64 z z)
z
(*.f64 y x)
y
x
(.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 (fma.f64 y x (.f64 z z)) (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 2 binary64))))
(fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))
(fma.f64 y x #s(literal 0 binary64))
#s(literal 0 binary64)
(/.f64 (fma.f64 y x (.f64 z z)) (pow.f64 (fma.f64 y x (.f64 z z)) #s(literal 2 binary64)))
(fma.f64 y x (*.f64 z z))
(pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 2 binary64))
#s(literal 2 binary64)

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

localize108.0ms (1.3%)

Memory

0.8MiB live, 212.4MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	1.0038952404222408	(fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))
accuracy	1.3616558814288537	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
accuracy	26.793249357184184	(.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 (fma.f64 y x (.f64 z z)) (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 2 binary64))))
accuracy	44.20847870072121	(/.f64 (fma.f64 y x (.f64 z z)) (pow.f64 (fma.f64 y x (.f64 z z)) #s(literal 2 binary64)))
accuracy	1.0038952404222408	(fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))
accuracy	1.3616558814288537	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
accuracy	26.793249357184184	(.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(approx (pow (+ ( z z) (+ (* y x) 0)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z z))))
accuracy	29.489292193722	#s(approx (pow (+ (* z z) (+ (* y x) 0)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
accuracy	0	(fma.f64 z z #s(literal 0 binary64))
accuracy	40.96266495094287	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z #s(literal 0 binary64)))
accuracy	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y))
accuracy	0.0703125	(fma.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64) x)
accuracy	4.497648160365399	(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
accuracy	8.02456184226904	(/.f64 (*.f64 z z) y)

Samples

76.0ms

256×

valid

Compiler

Compiled 306 to 34 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-div: 21.0ms (38.6% of total)

ival-mult: 16.0ms (29.4% of total)

ival-add: 10.0ms (18.4% of total)

ival-pow: 3.0ms (5.5% of total)

ival-pow2: 3.0ms (5.5% of total)

exact: 1.0ms (1.8% of total)

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

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

series34.0ms (0.4%)

Memory

22.4MiB live, 58.6MiB allocated

Counts

16 → 504

Calls

Call 1

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

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

Calls

9 calls:

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

simplify216.0ms (2.5%)

Memory

-5.2MiB live, 304.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	246	4469
1	767	4405
2	2277	4329
3	7564	4321
0	8967	4085

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 499

Calls

Call 1

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

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

rewrite284.0ms (3.3%)

Memory

23.5MiB live, 365.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	235
0	58	212
1	249	170
2	2472	163
0	8647	161

Stop Event

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

Counts

16 → 1 155

Calls

Call 1

Inputs
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y))
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64) x)
(/.f64 (*.f64 z z) y)
(fma.f64 z z #s(literal 0 binary64))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z #s(literal 0 binary64)))
(fma.f64 y x #s(literal 0 binary64))
(.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(approx (pow (+ (* z z) (+ (* y x) 0)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(*.f64 z z)
(.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 (fma.f64 y x (.f64 z z)) (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 2 binary64))))
(/.f64 (fma.f64 y x (.f64 z z)) (pow.f64 (fma.f64 y x (.f64 z z)) #s(literal 2 binary64)))
(.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 (fma.f64 y x (.f64 z z)) (pow.f64 (fma.f64 y x (.f64 z z)) #s(literal 2 binary64)))))
#s(approx (pow (+ (* z z) (+ (* y x) 0)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(approx (pow (+ ( z z) (+ (* y x) 0)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z z))))
(fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))

Outputs
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eval761.0ms (8.9%)

Memory: -117.6MiB live, 619.2MiB allocated
Compiler: Compiled 87 582 to 6 657 computations (92.4% saved)

prune94.0ms (1.1%)

Memory

31.1MiB live, 189.2MiB allocated

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	2 806	4	2 810
Fresh	0	0	0
Picked	3	1	4
Done	0	6	6
Total	2 809	11	2 820

Accuracy

100.0%

Counts

2 820 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.4%	(fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y)))
	40.2%	(.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (.f64 (/.f64 (sqrt.f64 (fma.f64 x y (.f64 z z))) (fma.f64 x y (.f64 z z))) (/.f64 (sqrt.f64 (fma.f64 x y (.f64 z z))) (fma.f64 x y (*.f64 z z))))))
	48.3%	(.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 #s(approx (+ (* z z) (+ (* y x) 0)) (.f64 z z)) #s(approx (pow (+ ( z z) (+ (* y x) 0)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
✓	98.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x)))
✓	55.2%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
✓	92.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y))
✓	55.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
✓	55.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
	48.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(approx (+ ( (/ (* z z) y) 3) x) (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64))) y))
	36.0%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 z z))
✓	51.2%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Compiler

Compiled 413 to 167 computations (59.6% saved)

regimes57.0ms (0.7%)

Memory

-41.7MiB live, 70.8MiB 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 z z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z #s(literal 0 binary64)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (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 z (+.f64 z z) (fma.f64 z z (*.f64 x y)))
(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(approx (+ ( (/ (* z z) y) 3) x) (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64))) y))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 #s(approx (+ (* z z) (+ (* y x) 0)) (.f64 z z)) #s(approx (pow (+ ( z z) (+ (* y x) 0)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
(.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(approx (pow (+ (* z z) (+ (* y x) 0)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
(.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (.f64 (/.f64 (sqrt.f64 (fma.f64 x y (.f64 z z))) (fma.f64 x y (.f64 z z))) (/.f64 (sqrt.f64 (fma.f64 x y (.f64 z z))) (fma.f64 x y (*.f64 z z))))))
(.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 (fma.f64 y x (.f64 z z)) (pow.f64 (fma.f64 y x (.f64 z z)) #s(literal 2 binary64)))))
(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (.f64 y x)))

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

Calls

6 calls:

15.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
13.0ms	(*.f64 z z)
9.0ms	(*.f64 x y)
6.0ms	y
6.0ms	x

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`y`
98.4%	1	`z`
98.4%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
98.4%	1	`(*.f64 x y)`
98.4%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes42.0ms (0.5%)

Memory

-0.7MiB live, 37.4MiB allocated

Counts

8 → 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 z z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z #s(literal 0 binary64)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (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:

25.0ms	z
3.0ms	y
3.0ms	(*.f64 x y)
3.0ms	x
3.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Results

Accuracy	Segments	Branch
98.3%	1	`x`
98.3%	1	`y`
98.3%	1	`z`
98.3%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
98.3%	1	`(*.f64 x y)`
98.3%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes29.0ms (0.3%)

Memory

-6.7MiB live, 32.7MiB 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 z z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z #s(literal 0 binary64)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))

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

Calls

6 calls:

15.0ms	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
73.5%	3	`x`
65.6%	3	`y`
89.5%	2	`z`
82.3%	2	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
73.9%	3	`(*.f64 x y)`
89.5%	2	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes5.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

5 → 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 z z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z #s(literal 0 binary64)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
89.5%	2	`z`
89.5%	2	`(*.f64 z z)`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes5.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB 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 z z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z #s(literal 0 binary64)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
89.4%	2	`z`
89.4%	2	`(*.f64 z z)`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes17.0ms (0.2%)

Memory

-25.9MiB live, 12.0MiB allocated

Counts

3 → 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 z z))

#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z #s(literal 0 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 z z))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
71.7%	2	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
76.3%	2	`z`
76.3%	2	`(*.f64 z z)`

Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes8.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB 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	x
1.0ms	y
1.0ms	z
1.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
1.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
51.2%	1	`y`
51.2%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
51.2%	1	`x`
51.2%	1	`(*.f64 x y)`
51.2%	1	`z`
51.2%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.20562898458068e+94	4.354897044235818e+96

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.20562898458068e+94	4.354897044235818e+96

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.20562898458068e+94	4.354897044235818e+96

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.650841194203814e+250	1.911131146583312e+251

Compiler

Compiled 14 to 14 computations (0% saved)

simplify38.0ms (0.4%)

Memory

-1.1MiB live, 43.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	239
1	38	239

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y)))
#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 100000000000000002021887912715594698857609632321435774113777685620800400499816430935869782753280 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 100000000000000002021887912715594698857609632321435774113777685620800400499816430935869782753280 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 100000000000000002021887912715594698857609632321435774113777685620800400499816430935869782753280 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)))
(if (<=.f64 (.f64 z z) #s(literal 50000000000000002413955760224438931247922123211171578196537714593581382308753827768607072911926497131829782967726685305249768864021582428900198149458066205474013195654042785480318184154653058939589376622987278157651155125236135864424088476113149362176 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 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Outputs
(fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y)))
(fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 y x)))
#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 #s(literal 3 binary64) z) z (.f64 y x)))
(if (<=.f64 (.f64 z z) #s(literal 100000000000000002021887912715594698857609632321435774113777685620800400499816430935869782753280 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 100000000000000002021887912715594698857609632321435774113777685620800400499816430935869782753280 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 100000000000000002021887912715594698857609632321435774113777685620800400499816430935869782753280 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)))
(if (<=.f64 (.f64 z z) #s(literal 100000000000000002021887912715594698857609632321435774113777685620800400499816430935869782753280 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 #s(literal 3 binary64) z) z)))
(if (<=.f64 (.f64 z z) #s(literal 50000000000000002413955760224438931247922123211171578196537714593581382308753827768607072911926497131829782967726685305249768864021582428900198149458066205474013195654042785480318184154653058939589376622987278157651155125236135864424088476113149362176 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 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

soundness1.3s (15%)

Memory

7.2MiB live, 593.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	2124
1	248	2124
2	752	2124
3	2152	2124
4	5623	2124
0	8195	1935
0	8	36
0	13	36
1	55	32
2	517	26
3	7580	26
0	8184	23
0	39	203
0	65	175
1	305	112
2	2702	112
0	8944	108
0	70	844
1	244	844
2	750	844
3	2131	844
4	5841	844
0	8161	763
0	37	235
0	58	212
1	249	170
2	2472	163
0	8647	161
0	22	114
0	36	117
1	148	90
2	1069	90
0	8451	90

Stop Event

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

Compiler

Compiled 237 to 136 computations (42.6% saved)

preprocess92.0ms (1.1%)

Memory

13.1MiB live, 215.7MiB allocated

Remove

(sort x y)

(abs z)

Compiler

Compiled 358 to 172 computations (52% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (13.4%)

explain187.0ms (2.2%)

preprocess74.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0%)

localize167.0ms (2%)

series9.0ms (0.1%)

simplify124.0ms (1.5%)

rewrite188.0ms (2.2%)

eval112.0ms (1.3%)

prune33.0ms (0.4%)

simplify5.0ms (0.1%)

localize55.0ms (0.6%)

series24.0ms (0.3%)

simplify221.0ms (2.6%)

rewrite375.0ms (4.4%)

eval422.0ms (4.9%)

prune42.0ms (0.5%)

simplify535.0ms (6.3%)

localize192.0ms (2.2%)

series39.0ms (0.5%)

simplify205.0ms (2.4%)

rewrite361.0ms (4.2%)

eval719.0ms (8.4%)

prune71.0ms (0.8%)

simplify162.0ms (1.9%)

localize108.0ms (1.3%)

series34.0ms (0.4%)

simplify216.0ms (2.5%)

rewrite284.0ms (3.3%)

eval761.0ms (8.9%)

prune94.0ms (1.1%)

regimes57.0ms (0.7%)

regimes42.0ms (0.5%)

regimes29.0ms (0.3%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes17.0ms (0.2%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify38.0ms (0.4%)

soundness1.3s (15%)

preprocess92.0ms (1.1%)

end0.0ms (0%)

Profiling