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)

sample944.0ms (12.2%)

Memory

46.4MiB live, 1 017.4MiB allocated

Samples

691.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 316.0ms

ival-add: 178.0ms (56.3% of total)

ival-mult: 129.0ms (40.8% of total)

ival-true: 6.0ms (1.9% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain146.0ms (1.9%)

Memory

6.2MiB live, 164.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
4	-	-	`(+.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	4	0
↳	`(*.f64 x y)`	overflow	33
↳	`(*.f64 z z)`	overflow	74
`+.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	97
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	97
↳	`(*.f64 x y)`	overflow	33
↳	`(*.f64 z z)`	overflow	148
↳	`(*.f64 z z)`	overflow	74
`+.f64`	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	nan-rescue	2	0
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	97
↳	`(*.f64 x y)`	overflow	33
↳	`(*.f64 z z)`	overflow	74
↳	`(*.f64 z z)`	overflow	74

Confusion

	Predicted +	Predicted -
+	4	0
-	0	252

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	4	0	0
-	0	0	252

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	252
1	2
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

34.0ms

512×

valid

Compiler

Compiled 145 to 36 computations (75.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-add: 11.0ms (58.1% of total)

ival-mult: 7.0ms (37% of total)

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

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

preprocess77.0ms (1%)

Memory

-44.3MiB live, 52.2MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.3%	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify4.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB 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

localize22.0ms (0.3%)

Memory

-10.4MiB live, 28.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0.49999587166041165	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
accuracy	0.5742146216604116	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
accuracy	0.9062458716604117	(+.f64 (.f64 x y) (.f64 z z))

Samples

15.0ms

256×

valid

Compiler

Compiled 86 to 18 computations (79.1% saved)

Precisions

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

ival-add: 3.0ms (43.3% of total)

ival-mult: 3.0ms (43.3% of total)

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

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

series9.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated

Counts

4 → 132

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
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	y	@	inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* x y) (* z z)) (* x y))

simplify325.0ms (4.2%)

Memory

16.7MiB live, 131.7MiB 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)

rewrite441.0ms (5.7%)

Memory

9.5MiB live, 265.1MiB 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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eval103.0ms (1.3%)

Memory: 10.8MiB live, 100.0MiB allocated
Compiler: Compiled 11 480 to 1 016 computations (91.1% saved)

prune15.0ms (0.2%)

Memory

2.8MiB live, 38.9MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	448	8	456
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	449	8	457

Accuracy

100.0%

Counts

457 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
	99.1%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
▶	98.3%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
▶	28.0%	(+.f64 (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) (.f64 z z))
▶	77.1%	(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z))
	99.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x)))
	57.5%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
▶	49.8%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Compiler

Compiled 178 to 132 computations (25.8% saved)

simplify179.0ms (2.3%)

Memory

1.1MiB live, 38.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	128	(neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))))
cost-diff	128	(+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (*.f64 z z))
cost-diff	192	(+.f64 (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) (.f64 z z))
cost-diff	1408	(fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))))
cost-diff	0	(*.f64 y x)
cost-diff	0	(*.f64 z z)
cost-diff	0	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
cost-diff	0	(*.f64 z z)
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x))
cost-diff	128	(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
cost-diff	0	(*.f64 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: 0 (0.0ms)

Iter	Nodes	Cost
0	31	267
0	55	267
1	104	251
2	183	247
3	369	247
4	746	247
5	1725	247
6	3035	232
7	3908	232
8	4009	232
9	4020	232
10	4021	232
11	4021	226
12	4287	226
13	4431	226
14	4433	226
15	4433	226
16	4433	226
17	4434	226
0	4434	221

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
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z))
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x))
(*.f64 y x)
y
x
(*.f64 z z)
z
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
#s(literal 3 binary64)
(*.f64 z z)
z
(*.f64 y x)
y
x
(+.f64 (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) (.f64 z z))
(+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (*.f64 z z))
(fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))))
(.f64 (.f64 y y) x)
(*.f64 y y)
y
x
(/.f64 x (fma.f64 (neg.f64 z) z (*.f64 y x)))
(fma.f64 (neg.f64 z) z (*.f64 y x))
(neg.f64 z)
z
(*.f64 y x)
(neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))))
(/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x)))
(pow.f64 z #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 z z)

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

localize222.0ms (2.9%)

Memory

-29.9MiB live, 105.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	6.060171200740816	(.f64 (.f64 y y) x)
accuracy	12.721187838966388	(/.f64 x (fma.f64 (neg.f64 z) z (*.f64 y x)))
accuracy	13.752624167742587	(fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))))
accuracy	33.274576064188054	(/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x)))
accuracy	0	(*.f64 z z)
accuracy	0	(*.f64 y x)
accuracy	0.9726521216604116	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
accuracy	0	(*.f64 z z)
accuracy	0	(*.f64 y x)
accuracy	0.5742146216604116	(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z))
accuracy	32.11092429923503	#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x))
accuracy	0	(*.f64 y x)
accuracy	32.11828318537931	#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	0.0390625	(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
accuracy	0.5039007452111204	(fma.f64 z z (*.f64 y x))

Samples

119.0ms

256×

valid

Compiler

Compiled 504 to 59 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-mult: 46.0ms (68.7% of total)

ival-add: 11.0ms (16.4% of total)

ival-div: 4.0ms (6% of total)

ival-pow: 2.0ms (3% of total)

ival-neg: 2.0ms (3% of total)

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

exact: 0.0ms (0% of total)

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

series89.0ms (1.1%)

Memory

11.4MiB live, 49.1MiB allocated

Counts

16 → 504

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 (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z)) (patch (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z)) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (patch #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (.f64 z z) (patch (.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 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (patch (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())
#s(alt (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) (patch (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) #<representation binary64>) () ())
#s(alt (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))) (patch (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))) (patch (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))) #<representation binary64>) () ())
#s(alt (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (patch (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y 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 (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z)) (patch (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z)) (patch (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z)) (patch (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z)) (patch (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (patch #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (patch #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (patch #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (patch #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (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>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow z 4) (* x y))) (+ (* 2 (pow z 2)) (/ (pow z 4) (* x y)))) (* -1 (pow z 2))) x))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow z 4) (* x y))) (+ (* 2 (pow z 2)) (/ (pow z 4) (* x y)))) (* -1 (pow z 2))) x))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) (patch (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- (pow z 2) (* -1 (pow z 2))) x))))) (taylor -inf x) (#s(alt (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) (patch (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow z 4) (* x y))) (+ (/ (pow z 4) (* x y)) (pow z 2))) (* -1 (pow z 2))) x))))) (taylor -inf x) (#s(alt (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) (patch (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow z 4) (* x y))) (+ (/ (pow z 4) (* x y)) (pow z 2))) (* -1 (pow z 2))) x))))) (taylor -inf x) (#s(alt (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) (patch (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow z 4) (* x y))) (taylor -inf x) (#s(alt (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))) (patch (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ (pow z 6) (* x (pow y 2))) (* -1 (/ (pow z 4) y))) x)) (taylor -inf x) (#s(alt (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))) (patch (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (pow z 6) (pow y 2))) (* -1 (/ (pow z 8) (* x (pow y 3))))) x)) (* -1 (/ (pow z 4) y))) x)) (taylor -inf x) (#s(alt (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))) (patch (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (/ (pow z 8) (pow y 3)) (/ (pow z 10) (* x (pow y 4)))) x)) (* -1 (/ (pow z 6) (pow y 2)))) x)) (* -1 (/ (pow z 4) y))) x)) (taylor -inf x) (#s(alt (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))) (patch (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 4) (* x y)) (taylor -inf x) (#s(alt (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))) (patch (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (pow z 4) y)) (* -1 (/ (pow z 6) (* x (pow y 2))))) x)) (taylor -inf x) (#s(alt (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))) (patch (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (/ (pow z 8) (* x (pow y 3))) (* -1 (/ (pow z 6) (pow y 2)))) x)) (* -1 (/ (pow z 4) y))) x)) (taylor -inf x) (#s(alt (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))) (patch (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 10) (* x (pow y 4)))) (/ (pow z 8) (pow y 3))) x)) (* -1 (/ (pow z 6) (pow y 2)))) x)) (* -1 (/ (pow z 4) y))) x)) (taylor -inf x) (#s(alt (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))) (patch (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (patch (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 y) (/ (pow z 2) (* x (pow y 2)))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (patch (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- (* -1 (/ (pow z 4) (* x (pow y 3)))) (/ (pow z 2) (pow y 2))) x)) (/ 1 y)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (patch (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) (* x (pow y 4))) (* -1 (/ (pow z 4) (pow y 3)))) x)) (/ (pow z 2) (pow y 2))) x)) (/ 1 y)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (patch (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
43.0ms	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)) (+ (+ (* x y) (* z z)) (* z z)) (* z z) (+ (* 3 (* z z)) (* y x)) (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x)))) (/ (pow z 4) (+ (* (neg z) z) (* y x))) (/ x (+ (* (neg z) z) (* y x))) (* (* y y) x))
7.0ms	x	@	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)) (+ (+ (* x y) (* z z)) (* z z)) (* z z) (+ (* 3 (* z z)) (* y x)) (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x)))) (/ (pow z 4) (+ (* (neg z) z) (* y x))) (/ x (+ (* (neg z) z) (* y x))) (* (* y y) x))
4.0ms	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)) (+ (+ (* x y) (* z z)) (* z z)) (* z z) (+ (* 3 (* z z)) (* y x)) (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x)))) (/ (pow z 4) (+ (* (neg z) z) (* y x))) (/ x (+ (* (neg z) z) (* y x))) (* (* y y) x))
3.0ms	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)) (+ (+ (* x y) (* z z)) (* z z)) (* z z) (+ (* 3 (* z z)) (* y x)) (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x)))) (/ (pow z 4) (+ (* (neg z) z) (* y x))) (/ x (+ (* (neg z) z) (* y x))) (* (* y y) x))
3.0ms	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)) (+ (+ (* x y) (* z z)) (* z z)) (* z z) (+ (* 3 (* z z)) (* y x)) (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x)))) (/ (pow z 4) (+ (* (neg z) z) (* y x))) (/ x (+ (* (neg z) z) (* y x))) (* (* y y) x))

simplify190.0ms (2.5%)

Memory

8.3MiB live, 157.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	603	5716
1	2061	5621
2	6505	5570
0	8315	5247

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 504

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))
(* x y)
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x 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)
(+ (* 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)
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(* -1 (/ (pow z 4) (* x y)))
(* (pow z 4) (- (* -1 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (/ 1 (* x y))))
(* (pow z 4) (- (* (pow z 2) (- (* -1 (/ (pow z 2) (* (pow x 3) (pow y 3)))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))))
(* (pow z 4) (- (* (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))))
(/ (pow z 4) (* x y))
(* (pow z 4) (+ (/ 1 (* x y)) (/ (pow z 2) (* (pow x 2) (pow y 2)))))
(* (pow z 4) (+ (* (pow z 2) (+ (/ 1 (* (pow x 2) (pow y 2))) (/ (pow z 2) (* (pow x 3) (pow y 3))))) (/ 1 (* x y))))
(* (pow z 4) (+ (* (pow z 2) (+ (* (pow z 2) (+ (/ 1 (* (pow x 3) (pow y 3))) (/ (pow z 2) (* (pow x 4) (pow y 4))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))))
(/ 1 y)
(+ (/ 1 y) (/ (pow z 2) (* x (pow y 2))))
(+ (* (pow z 2) (+ (/ 1 (* x (pow y 2))) (/ (pow z 2) (* (pow x 2) (pow y 3))))) (/ 1 y))
(+ (* (pow z 2) (+ (* (pow z 2) (+ (/ 1 (* (pow x 2) (pow y 3))) (/ (pow z 2) (* (pow x 3) (pow y 4))))) (/ 1 (* x (pow y 2))))) (/ 1 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))))
(* 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)
(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))))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (+ (/ (* x y) (pow z 2)) (/ (* (pow x 2) (pow y 2)) (pow z 4))))))
(* (pow z 2) (+ 1 (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (+ (/ (* x y) (pow z 2)) (/ (* (pow x 2) (pow y 2)) (pow z 4))))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (+ (/ (* x y) (pow z 2)) (/ (* (pow x 2) (pow y 2)) (pow z 4))))))
(* (pow z 2) (+ 3 (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (+ (/ (* x y) (pow z 2)) (/ (* (pow x 2) (pow y 2)) (pow z 4))))))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (+ (/ (* x y) (pow z 2)) (/ (* (pow x 2) (pow y 2)) (pow z 4))))))
(* (pow z 2) (+ 2 (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (+ (/ (* x y) (pow z 2)) (/ (* (pow x 2) (pow y 2)) (pow z 4))))))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (+ (/ (* x y) (pow z 2)) (/ (* (pow x 2) (pow y 2)) (pow z 4)))))
(* (pow z 2) (+ 1 (+ (/ (* x y) (pow z 2)) (+ (/ (* (pow x 2) (pow y 2)) (pow z 4)) (/ (* (pow x 3) (pow y 3)) (pow z 6))))))
(* -1 (pow z 2))
(* (pow z 2) (- (* -1 (/ (* x y) (pow z 2))) 1))
(* (pow z 2) (- (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (+ 1 (/ (* x y) (pow z 2)))))
(* (pow z 2) (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 6))) (+ 1 (+ (/ (* x y) (pow z 2)) (/ (* (pow x 2) (pow y 2)) (pow z 4))))))
(* -1 (/ x (pow z 2)))
(/ (+ (* -1 x) (* -1 (/ (* (pow x 2) y) (pow z 2)))) (pow z 2))
(/ (- (+ (* -1 x) (* -1 (/ (* (pow x 3) (pow y 2)) (pow z 4)))) (/ (* (pow x 2) y) (pow z 2))) (pow z 2))
(/ (- (+ (* -1 x) (* -1 (/ (* (pow x 4) (pow y 3)) (pow z 6)))) (+ (/ (* (pow x 2) y) (pow z 2)) (/ (* (pow x 3) (pow y 2)) (pow z 4)))) (pow z 2))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
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(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* x y)
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* x y)
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow z 4) (* x y))) (/ (pow z 4) (* x y))) (* -1 (pow z 2))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow z 4) (* x y))) (/ (pow z 4) (* x y))) (* -1 (pow z 2))) x)))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* 2 (pow z 2)) (* -1 (pow z 2))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow z 4) (* x y))) (+ (* 2 (pow z 2)) (/ (pow z 4) (* x y)))) (* -1 (pow z 2))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow z 4) (* x y))) (+ (* 2 (pow z 2)) (/ (pow z 4) (* x y)))) (* -1 (pow z 2))) x)))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (pow z 2) (* -1 (pow z 2))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow z 4) (* x y))) (+ (/ (pow z 4) (* x y)) (pow z 2))) (* -1 (pow z 2))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow z 4) (* x y))) (+ (/ (pow z 4) (* x y)) (pow z 2))) (* -1 (pow z 2))) x)))))
(* -1 (/ (pow z 4) (* x y)))
(* -1 (/ (- (/ (pow z 6) (* x (pow y 2))) (* -1 (/ (pow z 4) y))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (pow z 6) (pow y 2))) (* -1 (/ (pow z 8) (* x (pow y 3))))) x)) (* -1 (/ (pow z 4) y))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (/ (pow z 8) (pow y 3)) (/ (pow z 10) (* x (pow y 4)))) x)) (* -1 (/ (pow z 6) (pow y 2)))) x)) (* -1 (/ (pow z 4) y))) x))
(/ (pow z 4) (* x y))
(* -1 (/ (+ (* -1 (/ (pow z 4) y)) (* -1 (/ (pow z 6) (* x (pow y 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (/ (pow z 8) (* x (pow y 3))) (* -1 (/ (pow z 6) (pow y 2)))) x)) (* -1 (/ (pow z 4) y))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 10) (* x (pow y 4)))) (/ (pow z 8) (pow y 3))) x)) (* -1 (/ (pow z 6) (pow y 2)))) x)) (* -1 (/ (pow z 4) y))) x))
(/ 1 y)
(+ (/ 1 y) (/ (pow z 2) (* x (pow y 2))))
(+ (* -1 (/ (- (* -1 (/ (pow z 4) (* x (pow y 3)))) (/ (pow z 2) (pow y 2))) x)) (/ 1 y))
(+ (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) (* x (pow y 4))) (* -1 (/ (pow z 4) (pow y 3)))) x)) (/ (pow z 2) (pow y 2))) x)) (/ 1 y))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))

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))
(* 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 z) #s(literal 3 binary64) (.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x))
(* x y)
(*.f64 y x)
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x))
(* x y)
(*.f64 y x)
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))
(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)
(+ (* 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 z) #s(literal 3 binary64) (.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x))
(* x y)
(*.f64 y x)
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))
(* -1 (/ (pow z 4) (* x y)))
(/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (neg.f64 y))
(* (pow z 4) (- (* -1 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (/ 1 (* x y))))
(.f64 (neg.f64 (fma.f64 (/.f64 z (.f64 y y)) (/.f64 z (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 y x)))) (pow.f64 z #s(literal 4 binary64)))
(* (pow z 4) (- (* (pow z 2) (- (* -1 (/ (pow z 2) (* (pow x 3) (pow y 3)))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))))
(.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) (/.f64 z (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) y) y))) (.f64 z z) (/.f64 #s(literal -1 binary64) (.f64 y x))) (pow.f64 z #s(literal 4 binary64)))
(* (pow z 4) (- (* (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))))
(.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 z (pow.f64 x #s(literal 4 binary64))) (/.f64 z (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))))) (.f64 z z) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x x) y) y))) (.f64 z z) (/.f64 #s(literal -1 binary64) (*.f64 y x))) (pow.f64 z #s(literal 4 binary64)))
(/ (pow z 4) (* x y))
(/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) x)
(* (pow z 4) (+ (/ 1 (* x y)) (/ (pow z 2) (* (pow x 2) (pow y 2)))))
(.f64 (fma.f64 (/.f64 z (.f64 y y)) (/.f64 z (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 y x))) (pow.f64 z #s(literal 4 binary64)))
(* (pow z 4) (+ (* (pow z 2) (+ (/ 1 (* (pow x 2) (pow y 2))) (/ (pow z 2) (* (pow x 3) (pow y 3))))) (/ 1 (* x y))))
(.f64 (fma.f64 (/.f64 z (.f64 y y)) (/.f64 z (.f64 x x)) (+.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 #s(literal 1 binary64) (*.f64 y x)))) (pow.f64 z #s(literal 4 binary64)))
(* (pow z 4) (+ (* (pow z 2) (+ (* (pow z 2) (+ (/ 1 (* (pow x 3) (pow y 3))) (/ (pow z 2) (* (pow x 4) (pow y 4))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))))
(.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 x #s(literal 4 binary64))) (/.f64 z (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 z #s(literal 4 binary64)) (fma.f64 (/.f64 z (.f64 y y)) (/.f64 z (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 y x)))) (pow.f64 z #s(literal 4 binary64)))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (/ 1 y) (/ (pow z 2) (* x (pow y 2))))
(fma.f64 (/.f64 z x) (/.f64 z (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(+ (* (pow z 2) (+ (/ 1 (* x (pow y 2))) (/ (pow z 2) (* (pow x 2) (pow y 3))))) (/ 1 y))
(+.f64 (/.f64 (/.f64 (fma.f64 z (/.f64 z x) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) (*.f64 x x))) y) y) (/.f64 #s(literal 1 binary64) y))
(+ (* (pow z 2) (+ (* (pow z 2) (+ (/ 1 (* (pow x 2) (pow y 3))) (/ (pow z 2) (* (pow x 3) (pow y 4))))) (/ 1 (* x (pow y 2))))) (/ 1 y))
(fma.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) (/.f64 z (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (.f64 x x))) (pow.f64 z #s(literal 4 binary64)) (fma.f64 (/.f64 z x) (/.f64 z (.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 y z) (/.f64 x z) #s(literal 3 binary64)) (.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 y z) (/.f64 x z) #s(literal 3 binary64)) (.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 y z) (/.f64 x z) #s(literal 3 binary64)) (.f64 z z))
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 y z) (/.f64 x z) #s(literal 1 binary64)) (.f64 z z))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 y z) (/.f64 x z) #s(literal 1 binary64)) (.f64 z z))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 y z) (/.f64 x 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))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 y z) (/.f64 x z) #s(literal 3 binary64)) (.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 y z) (/.f64 x z) #s(literal 3 binary64)) (.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 y z) (/.f64 x z) #s(literal 3 binary64)) (.f64 z z))
(* 2 (pow z 2))
(.f64 (.f64 #s(literal 2 binary64) z) z)
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 y z) (/.f64 x z) #s(literal 2 binary64)) (.f64 z z))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 y z) (/.f64 x z) #s(literal 2 binary64)) (.f64 z z))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 y z) (/.f64 x z) #s(literal 2 binary64)) (.f64 z z))
(pow z 2)
(*.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))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 y z) (/.f64 x z) #s(literal 1 binary64)) (.f64 z z))
(* (pow z 2) (+ 1 (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (+ (/ (* x y) (pow z 2)) (/ (* (pow x 2) (pow y 2)) (pow z 4))))))
(.f64 (fma.f64 (.f64 (neg.f64 y) (/.f64 y (pow.f64 z #s(literal 4 binary64)))) (.f64 x x) (fma.f64 (/.f64 y z) (/.f64 x z) (fma.f64 (.f64 y (/.f64 y (pow.f64 z #s(literal 4 binary64)))) (.f64 x x) #s(literal 1 binary64)))) (.f64 z z))
(* (pow z 2) (+ 1 (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (+ (/ (* x y) (pow z 2)) (/ (* (pow x 2) (pow y 2)) (pow z 4))))))
(.f64 (fma.f64 (.f64 (neg.f64 y) (/.f64 y (pow.f64 z #s(literal 4 binary64)))) (.f64 x x) (fma.f64 (/.f64 y z) (/.f64 x z) (fma.f64 (.f64 y (/.f64 y (pow.f64 z #s(literal 4 binary64)))) (.f64 x x) #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 (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (+ (/ (* x y) (pow z 2)) (/ (* (pow x 2) (pow y 2)) (pow z 4))))))
(.f64 (+.f64 (fma.f64 (/.f64 y z) (/.f64 x z) (.f64 (.f64 (neg.f64 x) x) (.f64 y (/.f64 y (pow.f64 z #s(literal 4 binary64)))))) (fma.f64 (.f64 y (/.f64 y (pow.f64 z #s(literal 4 binary64)))) (.f64 x x) #s(literal 3 binary64))) (*.f64 z z))
(* (pow z 2) (+ 3 (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (+ (/ (* x y) (pow z 2)) (/ (* (pow x 2) (pow y 2)) (pow z 4))))))
(.f64 (+.f64 (fma.f64 (/.f64 y z) (/.f64 x z) (.f64 (.f64 (neg.f64 x) x) (.f64 y (/.f64 y (pow.f64 z #s(literal 4 binary64)))))) (fma.f64 (.f64 y (/.f64 y (pow.f64 z #s(literal 4 binary64)))) (.f64 x x) #s(literal 3 binary64))) (*.f64 z z))
(* 2 (pow z 2))
(.f64 (.f64 #s(literal 2 binary64) z) z)
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 y z) (/.f64 x z) #s(literal 2 binary64)) (.f64 z z))
(* (pow z 2) (+ 2 (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (+ (/ (* x y) (pow z 2)) (/ (* (pow x 2) (pow y 2)) (pow z 4))))))
(.f64 (+.f64 (fma.f64 (/.f64 y z) (/.f64 x z) (.f64 (.f64 (neg.f64 x) x) (.f64 y (/.f64 y (pow.f64 z #s(literal 4 binary64)))))) (fma.f64 (.f64 y (/.f64 y (pow.f64 z #s(literal 4 binary64)))) (.f64 x x) #s(literal 2 binary64))) (*.f64 z z))
(* (pow z 2) (+ 2 (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (+ (/ (* x y) (pow z 2)) (/ (* (pow x 2) (pow y 2)) (pow z 4))))))
(.f64 (+.f64 (fma.f64 (/.f64 y z) (/.f64 x z) (.f64 (.f64 (neg.f64 x) x) (.f64 y (/.f64 y (pow.f64 z #s(literal 4 binary64)))))) (fma.f64 (.f64 y (/.f64 y (pow.f64 z #s(literal 4 binary64)))) (.f64 x x) #s(literal 2 binary64))) (*.f64 z z))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 y z) (/.f64 x z) #s(literal 1 binary64)) (.f64 z z))
(* (pow z 2) (+ 1 (+ (/ (* x y) (pow z 2)) (/ (* (pow x 2) (pow y 2)) (pow z 4)))))
(.f64 (fma.f64 (/.f64 y z) (/.f64 x z) (fma.f64 (.f64 y (/.f64 y (pow.f64 z #s(literal 4 binary64)))) (.f64 x x) #s(literal 1 binary64))) (.f64 z z))
(* (pow z 2) (+ 1 (+ (/ (* x y) (pow z 2)) (+ (/ (* (pow x 2) (pow y 2)) (pow z 4)) (/ (* (pow x 3) (pow y 3)) (pow z 6))))))
(.f64 (+.f64 (fma.f64 (/.f64 y z) (/.f64 x z) (fma.f64 (.f64 y (/.f64 y (pow.f64 z #s(literal 4 binary64)))) (.f64 x x) (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64))))) #s(literal 1 binary64)) (*.f64 z z))
(* -1 (pow z 2))
(*.f64 (neg.f64 z) z)
(* (pow z 2) (- (* -1 (/ (* x y) (pow z 2))) 1))
(.f64 (fma.f64 (/.f64 (neg.f64 x) z) (/.f64 y z) #s(literal -1 binary64)) (.f64 z z))
(* (pow z 2) (- (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (+ 1 (/ (* x y) (pow z 2)))))
(.f64 (neg.f64 (fma.f64 (/.f64 y z) (/.f64 x z) (fma.f64 (.f64 y (/.f64 y (pow.f64 z #s(literal 4 binary64)))) (.f64 x x) #s(literal 1 binary64)))) (.f64 z z))
(* (pow z 2) (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 6))) (+ 1 (+ (/ (* x y) (pow z 2)) (/ (* (pow x 2) (pow y 2)) (pow z 4))))))
(.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (/.f64 x z) (fma.f64 (.f64 y (/.f64 y (pow.f64 z #s(literal 4 binary64)))) (.f64 x x) #s(literal 1 binary64))))) (.f64 z z))
(* -1 (/ x (pow z 2)))
(/.f64 (/.f64 (neg.f64 x) z) z)
(/ (+ (* -1 x) (* -1 (/ (* (pow x 2) y) (pow z 2)))) (pow z 2))
(/.f64 (neg.f64 (fma.f64 (.f64 x (/.f64 x (.f64 z z))) y x)) (*.f64 z z))
(/ (- (+ (* -1 x) (* -1 (/ (* (pow x 3) (pow y 2)) (pow z 4)))) (/ (* (pow x 2) y) (pow z 2))) (pow z 2))
(/.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 x z) (/.f64 x z) (.f64 (/.f64 y (pow.f64 z #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))) y x)) (.f64 z z))
(/ (- (+ (* -1 x) (* -1 (/ (* (pow x 4) (pow y 3)) (pow z 6)))) (+ (/ (* (pow x 2) y) (pow z 2)) (/ (* (pow x 3) (pow y 2)) (pow z 4)))) (pow z 2))
(/.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (neg.f64 (fma.f64 (fma.f64 (/.f64 x z) (/.f64 x z) (.f64 (/.f64 y (pow.f64 z #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))) y x))) (.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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(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)
(* x y)
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(*.f64 (fma.f64 z (/.f64 z x) y) x)
(* x (+ y (/ (pow z 2) x)))
(*.f64 (fma.f64 z (/.f64 z x) y) x)
(* x (+ y (/ (pow z 2) x)))
(*.f64 (fma.f64 z (/.f64 z x) y) x)
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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)
(* x y)
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(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)
(* x y)
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(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 2 binary64) y) x)
(* x (+ y (* 2 (/ (pow z 2) x))))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 2 binary64) y) x)
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(* 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)
(* x y)
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(*.f64 (fma.f64 z (/.f64 z x) y) x)
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(*.f64 (fma.f64 z (/.f64 z x) y) x)
(* x y)
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(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 2 binary64) y) x)
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(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 2 binary64) y) x)
(* -1 (/ (pow z 4) (* x y)))
(/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (neg.f64 y))
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(/ (pow z 4) (* x y))
(/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) x)
(/ (+ (/ (pow z 4) y) (/ (pow z 6) (* x (pow y 2)))) x)
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) x) y) y) (/.f64 (pow.f64 z #s(literal 4 binary64)) y)) x)
(/ (- (+ (/ (pow z 4) y) (/ (pow z 8) (* (pow x 2) (pow y 3)))) (* -1 (/ (pow z 6) (* x (pow y 2))))) x)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 8 binary64)) x) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) y) y)) x) (/.f64 (pow.f64 z #s(literal 4 binary64)) y)) x)
(/ (- (+ (/ (pow z 4) y) (/ (pow z 10) (* (pow x 3) (pow y 4)))) (+ (* -1 (/ (pow z 6) (* x (pow y 2)))) (* -1 (/ (pow z 8) (* (pow x 2) (pow y 3)))))) x)
(/.f64 (+.f64 (+.f64 (/.f64 (pow.f64 z #s(literal 10 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 8 binary64)) x) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) y) y)) x)) (/.f64 (pow.f64 z #s(literal 4 binary64)) y)) x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (/ 1 y) (/ (pow z 2) (* x (pow y 2))))
(fma.f64 (/.f64 z x) (/.f64 z (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(- (+ (/ 1 y) (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* -1 (/ (pow z 2) (* x (pow y 2)))))
(+.f64 (/.f64 (/.f64 (fma.f64 z (/.f64 z x) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) (*.f64 x x))) y) y) (/.f64 #s(literal 1 binary64) y))
(- (+ (/ 1 y) (/ (pow z 6) (* (pow x 3) (pow y 4)))) (+ (* -1 (/ (pow z 2) (* x (pow y 2)))) (* -1 (/ (pow z 4) (* (pow x 2) (pow y 3))))))
(+.f64 (+.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (/.f64 (fma.f64 z (/.f64 z x) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x))) y) y)) (/.f64 #s(literal 1 binary64) y))
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(*.f64 (fma.f64 z (/.f64 z x) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(*.f64 (fma.f64 z (/.f64 z x) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(*.f64 (fma.f64 z (/.f64 z x) y) x)
(* x y)
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(* x y)
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(* x y)
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(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 2 binary64) y) x)
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 2 binary64) y) x)
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 2 binary64) y) x)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(*.f64 (fma.f64 z (/.f64 z x) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow z 4) (* x y))) (/ (pow z 4) (* x y))) (* -1 (pow z 2))) x)))))
(*.f64 (fma.f64 z (/.f64 z x) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow z 4) (* x y))) (/ (pow z 4) (* x y))) (* -1 (pow z 2))) x)))))
(*.f64 (fma.f64 z (/.f64 z x) y) x)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* 2 (pow z 2)) (* -1 (pow z 2))) x)))))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow z 4) (* x y))) (+ (* 2 (pow z 2)) (/ (pow z 4) (* x y)))) (* -1 (pow z 2))) x)))))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow z 4) (* x y))) (+ (* 2 (pow z 2)) (/ (pow z 4) (* x y)))) (* -1 (pow z 2))) x)))))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (pow z 2) (* -1 (pow z 2))) x)))))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 2 binary64) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow z 4) (* x y))) (+ (/ (pow z 4) (* x y)) (pow z 2))) (* -1 (pow z 2))) x)))))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 2 binary64) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow z 4) (* x y))) (+ (/ (pow z 4) (* x y)) (pow z 2))) (* -1 (pow z 2))) x)))))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 2 binary64) y) x)
(* -1 (/ (pow z 4) (* x y)))
(/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (neg.f64 y))
(* -1 (/ (- (/ (pow z 6) (* x (pow y 2))) (* -1 (/ (pow z 4) y))) x))
(/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) y) (*.f64 x x)) (/.f64 (pow.f64 z #s(literal 4 binary64)) x)) (neg.f64 y))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (pow z 6) (pow y 2))) (* -1 (/ (pow z 8) (* x (pow y 3))))) x)) (* -1 (/ (pow z 4) y))) x))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 8 binary64)) x) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) y) y)) (neg.f64 x)) (/.f64 (pow.f64 z #s(literal 4 binary64)) y)) x)
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (/ (pow z 8) (pow y 3)) (/ (pow z 10) (* x (pow y 4)))) x)) (* -1 (/ (pow z 6) (pow y 2)))) x)) (* -1 (/ (pow z 4) y))) x))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 10 binary64)) x) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 y #s(literal 3 binary64)))) x) (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) y) y)) (neg.f64 x)) (/.f64 (pow.f64 z #s(literal 4 binary64)) y)) x)
(/ (pow z 4) (* x y))
(/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) x)
(* -1 (/ (+ (* -1 (/ (pow z 4) y)) (* -1 (/ (pow z 6) (* x (pow y 2))))) x))
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) x) y) y) (/.f64 (pow.f64 z #s(literal 4 binary64)) y)) x)
(* -1 (/ (+ (* -1 (/ (- (/ (pow z 8) (* x (pow y 3))) (* -1 (/ (pow z 6) (pow y 2)))) x)) (* -1 (/ (pow z 4) y))) x))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 8 binary64)) x) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) y) y)) x) (/.f64 (pow.f64 z #s(literal 4 binary64)) y)) x)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 10) (* x (pow y 4)))) (/ (pow z 8) (pow y 3))) x)) (* -1 (/ (pow z 6) (pow y 2)))) x)) (* -1 (/ (pow z 4) y))) x))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 10 binary64)) x) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 y #s(literal 3 binary64)))) x) (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) y) y)) x) (/.f64 (pow.f64 z #s(literal 4 binary64)) y)) x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (/ 1 y) (/ (pow z 2) (* x (pow y 2))))
(fma.f64 (/.f64 z x) (/.f64 z (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(+ (* -1 (/ (- (* -1 (/ (pow z 4) (* x (pow y 3)))) (/ (pow z 2) (pow y 2))) x)) (/ 1 y))
(+.f64 (/.f64 (/.f64 (fma.f64 z (/.f64 z x) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) (*.f64 x x))) y) y) (/.f64 #s(literal 1 binary64) y))
(+ (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) (* x (pow y 4))) (* -1 (/ (pow z 4) (pow y 3)))) x)) (/ (pow z 2) (pow y 2))) x)) (/ 1 y))
(+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) x) (pow.f64 y #s(literal 4 binary64)))) x) (/.f64 (/.f64 (*.f64 z z) y) y)) x) (/.f64 #s(literal 1 binary64) y))
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)

rewrite256.0ms (3.3%)

Memory

-18.9MiB live, 366.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	217
0	55	172
1	254	133
2	2268	133
0	9591	129

Stop Event

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

Counts

16 → 1 434

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))
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z))
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x))
(*.f64 z z)
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))))
(+.f64 (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) (.f64 z z))
(+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (*.f64 z z))
(neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))))
(/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x)))
(/.f64 x (fma.f64 (neg.f64 z) z (*.f64 y x)))
(.f64 (.f64 y y) x)

Outputs
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eval677.0ms (8.7%)

Memory: 25.3MiB live, 549.9MiB allocated
Compiler: Compiled 93 825 to 3 693 computations (96.1% saved)

prune129.0ms (1.7%)

Memory

-13.1MiB live, 129.5MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	2 117	5	2 122
Fresh	2	1	3
Picked	4	1	5
Done	0	0	0
Total	2 123	7	2 130

Accuracy

100.0%

Counts

2 130 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y))
▶	57.5%	(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (*.f64 z z)))
▶	77.9%	(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
▶	99.1%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
	91.8%	#s(approx (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x))
▶	57.5%	#s(approx (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
✓	49.8%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Compiler

Compiled 102 to 93 computations (8.8% saved)

simplify186.0ms (2.4%)

Memory

-5.7MiB live, 67.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 z z)
cost-diff	0	#s(approx (+ (* z z) (* y x)) (*.f64 z z))
cost-diff	0	(*.f64 #s(literal 2 binary64) z)
cost-diff	0	(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (*.f64 z z)))
cost-diff	0	(*.f64 z z)
cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 z z))
cost-diff	0	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))
cost-diff	0	(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
cost-diff	0	(*.f64 z z)
cost-diff	0	(.f64 (.f64 z z) #s(literal 3 binary64))
cost-diff	0	#s(approx (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
cost-diff	0	(*.f64 x y)
cost-diff	0	(*.f64 #s(literal 3 binary64) z)
cost-diff	0	(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	166
0	52	165
1	100	157
2	167	157
3	351	157
4	734	157
5	1688	157
6	2996	151
7	3898	151
8	4011	151
9	4024	151
10	4025	151
11	4025	149
12	4291	149
13	4435	149
14	4437	149
15	4437	149
16	4437	149
17	4438	149
0	4438	144

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize251.0ms (3.2%)

Memory

-6.9MiB live, 151.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z z)
accuracy	0	(*.f64 #s(literal 2 binary64) z)
accuracy	0.0390625	(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (*.f64 z z)))
accuracy	27.165373609946915	#s(approx (+ (* z z) (* y x)) (*.f64 z z))
accuracy	0	(*.f64 z z)
accuracy	0.15234375	(.f64 #s(literal 3 binary64) (.f64 z z))
accuracy	0.49999449521112044	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
accuracy	0	(*.f64 x y)
accuracy	0.03125	(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
accuracy	32.11092429923503	#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))
accuracy	0	(*.f64 z z)
accuracy	0.15234375	(.f64 (.f64 z z) #s(literal 3 binary64))
accuracy	27.144131449055532	#s(approx (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
accuracy	0	(*.f64 x y)
accuracy	0	(*.f64 #s(literal 3 binary64) z)
accuracy	0.5703069952111204	(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y))

Samples

193.0ms

256×

valid

Compiler

Compiled 242 to 55 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 165.0ms

ival-div: 119.0ms (72.2% of total)

ival-mult: 27.0ms (16.4% of total)

ival-add: 13.0ms (7.9% of total)

ival-pow: 2.0ms (1.2% of total)

ival-neg: 2.0ms (1.2% of total)

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

exact: 0.0ms (0% of total)

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

series25.0ms (0.3%)

Memory

-2.8MiB live, 42.3MiB allocated

Counts

13 → 336

Calls

Call 1

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

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

Calls

9 calls:

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

simplify273.0ms (3.5%)

Memory

-0.6MiB live, 197.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	164	2184
1	597	2184
2	1826	2184
3	6064	2184
0	8213	1995

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

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

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

rewrite240.0ms (3.1%)

Memory

20.6MiB live, 296.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	142
0	52	141
1	252	113
2	2114	113
0	8763	107

Stop Event

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

Counts

13 → 126

Calls

Call 1

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

Outputs
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eval54.0ms (0.7%)

Memory: -7.9MiB live, 145.7MiB allocated
Compiler: Compiled 6 093 to 288 computations (95.3% saved)

prune58.0ms (0.8%)

Memory

2.3MiB live, 79.8MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	522	2	524
Fresh	0	1	1
Picked	1	4	5
Done	0	1	1
Total	523	8	531

Accuracy

100.0%

Counts

531 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y))
▶	57.5%	(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
✓	77.9%	(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
✓	99.1%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
▶	91.8%	#s(approx (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x))
✓	57.5%	#s(approx (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
▶	57.5%	#s(approx (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
✓	49.8%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Compiler

Compiled 59 to 55 computations (6.8% saved)

simplify319.0ms (4.1%)

Memory

11.6MiB live, 162.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score
cost-diff	-128	(+.f64 z z)
cost-diff	0	(*.f64 z z)
cost-diff	0	#s(approx (+ (* z z) (* y x)) (*.f64 z z))
cost-diff	0	(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
cost-diff	0	(/.f64 (*.f64 z z) x)
cost-diff	0	(fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y)
cost-diff	0	#s(approx (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x))
cost-diff	704	(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)
cost-diff	0	(*.f64 z #s(literal 3 binary64))
cost-diff	0	(.f64 (.f64 z #s(literal 3 binary64)) z)
cost-diff	0	#s(approx (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	167
0	43	161
1	87	157
2	169	157
3	382	157
4	857	155
5	2381	155
6	4697	143
7	5886	143
8	6851	143
9	7565	143
0	8156	137

Stop Event

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

Calls

Call 1

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

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

localize163.0ms (2.1%)

Memory

18.6MiB live, 268.8MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 z z)
accuracy	0	(*.f64 z z)
accuracy	0.0390625	(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
accuracy	27.165373609946915	#s(approx (+ (* z z) (* y x)) (*.f64 z z))
accuracy	0	#s(approx (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x))
accuracy	0.0546875	(fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y)
accuracy	4.711010740531335	(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)
accuracy	10.215690995529497	(/.f64 (*.f64 z z) x)
accuracy	0	(*.f64 z #s(literal 3 binary64))
accuracy	0.1015625	(.f64 (.f64 z #s(literal 3 binary64)) z)
accuracy	27.144131449055532	#s(approx (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))

Samples

116.0ms

256×

valid

Compiler

Compiled 224 to 47 computations (79% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-add: 51.0ms (53.5% of total)

ival-mult: 18.0ms (18.9% of total)

ival-pow: 17.0ms (17.8% of total)

ival-div: 6.0ms (6.3% of total)

ival-neg: 2.0ms (2.1% of total)

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

exact: 0.0ms (0% of total)

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

series128.0ms (1.7%)

Memory

-32.9MiB live, 43.5MiB allocated

Counts

11 → 288

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	z	@	0	((+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (* (+ (* (/ (* z z) x) 3) y) x) (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (+ (* (/ (* z z) x) 3) y) (/ (* z z) x) (+ (* z (+ z z)) (+ (* z z) (* y x))) (+ (* z z) (* y x)) (* z z) (+ z z))
2.0ms	z	@	inf	((+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (* (+ (* (/ (* z z) x) 3) y) x) (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (+ (* (/ (* z z) x) 3) y) (/ (* z z) x) (+ (* z (+ z z)) (+ (* z z) (* y x))) (+ (* z z) (* y x)) (* z z) (+ z z))
2.0ms	z	@	-inf	((+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (* (+ (* (/ (* z z) x) 3) y) x) (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (+ (* (/ (* z z) x) 3) y) (/ (* z z) x) (+ (* z (+ z z)) (+ (* z z) (* y x))) (+ (* z z) (* y x)) (* z z) (+ z z))
2.0ms	x	@	-inf	((+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (* (+ (* (/ (* z z) x) 3) y) x) (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (+ (* (/ (* z z) x) 3) y) (/ (* z z) x) (+ (* z (+ z z)) (+ (* z z) (* y x))) (+ (* z z) (* y x)) (* z z) (+ z z))
1.0ms	x	@	inf	((+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (* (+ (* (/ (* z z) x) 3) y) x) (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (+ (* (/ (* z z) x) 3) y) (/ (* z z) x) (+ (* z (+ z z)) (+ (* z z) (* y x))) (+ (* z z) (* y x)) (* z z) (+ z z))

simplify121.0ms (1.6%)

Memory

35.1MiB live, 190.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	165	1898
1	585	1898
2	1781	1898
3	6683	1898
0	8666	1736

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 283

Calls

Call 1

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

rewrite238.0ms (3.1%)

Memory

-34.8MiB live, 271.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	157
0	43	151
1	200	102
2	1651	102
0	9386	95

Stop Event

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

Counts

11 → 211

Calls

Call 1

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

Outputs
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eval81.0ms (1%)

Memory: 20.3MiB live, 92.4MiB allocated
Compiler: Compiled 6 833 to 749 computations (89% saved)

prune38.0ms (0.5%)

Memory

-0.8MiB live, 84.6MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	511	1	512
Fresh	0	0	0
Picked	0	3	3
Done	0	5	5
Total	511	9	520

Accuracy

100.0%

Counts

520 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y))
✓	57.5%	(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
	78.5%	(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 y x)))
✓	77.9%	(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
✓	99.1%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
✓	91.8%	#s(approx (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x))
✓	57.5%	#s(approx (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
✓	57.5%	#s(approx (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
✓	49.8%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Compiler

Compiled 237 to 116 computations (51.1% saved)

regimes38.0ms (0.5%)

Memory

-12.6MiB live, 62.6MiB allocated

Counts

17 → 1

Calls

Call 1

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

Outputs
(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`y`
99.2%	1	`z`
99.2%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
99.2%	1	`(*.f64 x y)`
99.2%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes32.0ms (0.4%)

Memory

10.1MiB live, 54.4MiB allocated

Counts

13 → 1

Calls

Call 1

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

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:

10.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
4.0ms	x
4.0ms	y
4.0ms	z
4.0ms	(*.f64 x y)

Results

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

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes23.0ms (0.3%)

Memory

-23.7MiB live, 51.9MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
83.8%	3	`x`
78.5%	1	`y`
87.0%	2	`z`
87.7%	3	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
83.4%	3	`(*.f64 x y)`
87.0%	2	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes7.0ms (0.1%)

Memory

25.8MiB live, 25.8MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

#s(approx (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z))

Calls

2 calls:

4.0ms	z
2.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
87.0%	2	`z`
87.0%	2	`(*.f64 z z)`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes9.0ms (0.1%)

Memory

-13.1MiB live, 22.7MiB 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 (.f64 z z) #s(literal 3 binary64)))
#s(approx (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
#s(approx (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z))

Outputs

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

#s(approx (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z))

Calls

2 calls:

6.0ms	(*.f64 z z)
3.0ms	z

Results

Accuracy	Segments	Branch
86.9%	2	`z`
86.9%	2	`(*.f64 z z)`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes4.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
#s(approx (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
#s(approx (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* 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 (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* 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
86.4%	2	`z`
86.4%	2	`(*.f64 z z)`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes8.0ms (0.1%)

Memory

-28.6MiB live, 16.1MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	z
1.0ms	(*.f64 z z)

Results

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

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes9.0ms (0.1%)

Memory

-1.3MiB live, 38.3MiB 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:

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

Results

Accuracy	Segments	Branch
49.8%	1	`y`
49.8%	1	`(*.f64 x y)`
49.8%	1	`x`
49.8%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
49.8%	1	`z`
49.8%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

bsearch0.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.5355920457452124e-57	8.713048608459859e-57

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.5355920457452124e-57	8.713048608459859e-57

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.5355920457452124e-57	8.713048608459859e-57

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.5355920457452124e-57	8.713048608459859e-57

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch6.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	4.5355920457452124e-57	8.713048608459859e-57

Samples

3.0ms	62×	0	valid
0.0ms	1×	2	valid
0.0ms	1×	1	valid

Compiler

Compiled 46 to 66 computations (-43.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-add: 1.0ms (66.7% of total)

adjust: 0.0ms (0% of total)

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

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

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

simplify114.0ms (1.5%)

Memory

9.2MiB live, 48.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	341
1	61	341

Stop Event

1×

saturated

Calls

Call 1

Inputs
(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)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x)))
(if (<=.f64 (.f64 z z) #s(literal 4417117661945961/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (fma.f64 z (+.f64 z z) #s(approx (+ ( z z) (* y x)) (.f64 y x))) (fma.f64 z (+.f64 z z) #s(approx (+ ( z z) (* y x)) (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 4417117661945961/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (fma.f64 z (+.f64 z z) #s(approx (+ ( z z) (* y x)) (.f64 y x))) #s(approx (+ (+ (+ ( (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)))
(if (<=.f64 (.f64 z z) #s(literal 4417117661945961/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (fma.f64 z z #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 x y))) #s(approx (+ (+ (+ ( (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)))
(if (<=.f64 (.f64 z z) #s(literal 4417117661945961/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)))
(if (<=.f64 (.f64 z z) #s(literal 5477225900812991/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Outputs
(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
(fma.f64 (.f64 z #s(literal 2 binary64)) 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)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y)))
(if (<=.f64 (.f64 z z) #s(literal 4417117661945961/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (fma.f64 z (+.f64 z z) #s(approx (+ ( z z) (* y x)) (.f64 y x))) (fma.f64 z (+.f64 z z) #s(approx (+ ( z z) (* y x)) (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 4417117661945961/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (fma.f64 z (+.f64 z z) #s(approx (+ ( z z) (* y x)) (.f64 x y))) (fma.f64 z (+.f64 z z) #s(approx (+ ( z z) (* y x)) (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 4417117661945961/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (fma.f64 z (+.f64 z z) #s(approx (+ ( z z) (* y x)) (.f64 y x))) #s(approx (+ (+ (+ ( (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)))
(if (<=.f64 (.f64 z z) #s(literal 4417117661945961/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (fma.f64 z (+.f64 z z) #s(approx (+ ( z z) (* y x)) (.f64 x y))) #s(approx (+ (+ (+ ( (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z)))
(if (<=.f64 (.f64 z z) #s(literal 4417117661945961/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (fma.f64 z z #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 x y))) #s(approx (+ (+ (+ ( (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)))
(if (<=.f64 (.f64 z z) #s(literal 4417117661945961/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (fma.f64 z z #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 x y))) #s(approx (+ (+ (+ ( (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z)))
(if (<=.f64 (.f64 z z) #s(literal 4417117661945961/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)))
(if (<=.f64 (.f64 z z) #s(literal 4417117661945961/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 x y)) #s(approx (+ (+ (+ ( (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z)))
(if (<=.f64 (.f64 z z) #s(literal 5477225900812991/883423532389192164791648750371459257913741948437809479060803100646309888 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 5477225900812991/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 x y)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))

soundness1.3s (16.2%)

Memory

-2.8MiB live, 761.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	217
0	55	172
1	254	133
2	2268	133
0	9591	129
0	603	5716
1	2061	5621
2	6505	5570
0	8315	5247
0	8	36
0	13	36
1	55	32
2	517	26
3	7580	26
0	8184	23
0	165	1898
1	585	1898
2	1781	1898
3	6683	1898
0	8666	1736
0	38	142
0	52	141
1	252	113
2	2114	113
0	8763	107
0	70	844
1	244	844
2	750	844
3	2131	844
4	5841	844
0	8161	763

Stop Event

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

Compiler

Compiled 532 to 263 computations (50.6% saved)

preprocess239.0ms (3.1%)

Memory

-20.5MiB live, 137.3MiB allocated

Remove

(sort x y)

(abs z)

Compiler

Compiled 464 to 228 computations (50.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample944.0ms (12.2%)

explain146.0ms (1.9%)

preprocess77.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize22.0ms (0.3%)

series9.0ms (0.1%)

simplify325.0ms (4.2%)

rewrite441.0ms (5.7%)

eval103.0ms (1.3%)

prune15.0ms (0.2%)

simplify179.0ms (2.3%)

localize222.0ms (2.9%)

series89.0ms (1.1%)

simplify190.0ms (2.5%)

rewrite256.0ms (3.3%)

eval677.0ms (8.7%)

prune129.0ms (1.7%)

simplify186.0ms (2.4%)

localize251.0ms (3.2%)

series25.0ms (0.3%)

simplify273.0ms (3.5%)

rewrite240.0ms (3.1%)

eval54.0ms (0.7%)

prune58.0ms (0.8%)

simplify319.0ms (4.1%)

localize163.0ms (2.1%)

series128.0ms (1.7%)

simplify121.0ms (1.6%)

rewrite238.0ms (3.1%)

eval81.0ms (1%)

prune38.0ms (0.5%)

regimes38.0ms (0.5%)

regimes32.0ms (0.4%)

regimes23.0ms (0.3%)

regimes7.0ms (0.1%)

regimes9.0ms (0.1%)

regimes4.0ms (0.1%)

regimes8.0ms (0.1%)

regimes9.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch6.0ms (0.1%)

simplify114.0ms (1.5%)

soundness1.3s (16.2%)

preprocess239.0ms (3.1%)

end0.0ms (0%)

Profiling