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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 10 computations (41.2% saved)

sample1.1s (15.7%)

Memory

-159.6MiB live, 953.6MiB allocated

Samples

807.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 467.0ms

ival-mult: 286.0ms (61.2% of total)

ival-add: 172.0ms (36.8% of total)

ival-true: 6.0ms (1.3% of total)

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

Bogosity

explain105.0ms (1.5%)

Memory

1.3MiB live, 167.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
4	-	-	`(+.f64 (.f64 x y) (.f64 z z))`
1	-	-	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
1	-	-	`(+.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	34
↳	`(*.f64 z z)`	overflow	59
`+.f64`	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`	nan-rescue	1	0
↳	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	overflow	85
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	85
↳	`(*.f64 x y)`	overflow	34
↳	`(*.f64 z z)`	overflow	118
↳	`(*.f64 z z)`	overflow	59
`+.f64`	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	nan-rescue	1	0
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	85
↳	`(*.f64 x y)`	overflow	34
↳	`(*.f64 z z)`	overflow	59
↳	`(*.f64 z z)`	overflow	59

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	3
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms

512×

valid

Compiler

Compiled 103 to 28 computations (72.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 9.0ms (55.9% of total)

ival-add: 7.0ms (43.5% of total)

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

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

preprocess117.0ms (1.7%)

Memory

-28.6MiB live, 52.7MiB 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

0.6MiB live, 0.6MiB 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

2.1MiB live, 2.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

localize20.0ms (0.3%)

Memory

20.0MiB live, 20.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0.2578104358302058	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
accuracy	0.3398416858302058	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
accuracy	0.8593729358302059	(+.f64 (.f64 x y) (.f64 z z))

Samples

14.0ms

256×

valid

Compiler

Compiled 44 to 10 computations (77.3% saved)

Precisions

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

ival-add: 3.0ms (45% of total)

ival-mult: 3.0ms (45% of total)

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

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

series140.0ms (2%)

Memory

-22.2MiB live, 15.1MiB 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
131.0ms	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	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))
1.0ms	x	@	inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* x y) (* z z)) (* x y))

simplify178.0ms (2.6%)

Memory

29.7MiB live, 146.9MiB 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)

rewrite471.0ms (6.8%)

Memory

0.6MiB live, 233.6MiB 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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eval190.0ms (2.8%)

Memory: -18.0MiB live, 137.8MiB allocated
Compiler: Compiled 11 480 to 1 016 computations (91.1% saved)

prune12.0ms (0.2%)

Memory

34.2MiB live, 34.2MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

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

Accuracy

100.0%

Counts

457 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.7%	(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
	98.3%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
	26.9%	(+.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 z z (.f64 y x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (fma.f64 z z (.f64 y x)) (fma.f64 y x #s(literal 0 binary64)) (pow.f64 z #s(literal 4 binary64)))) (*.f64 z z))
▶	73.9%	(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z))
▶	98.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x)))
▶	55.9%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
▶	50.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Compiler

Compiled 154 to 120 computations (22.1% saved)

simplify100.0ms (1.4%)

Memory

-42.6MiB live, 7.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	167
0	36	165
1	60	139
2	73	139
3	81	139
0	81	136

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize70.0ms (1%)

Memory

21.2MiB live, 90.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z #s(literal 3 binary64))
accuracy	0	(*.f64 y x)
accuracy	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x)))
accuracy	0.8476479928166806	(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))
accuracy	0	(*.f64 z z)
accuracy	0	(*.f64 y x)
accuracy	0.3398416858302058	(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z))
accuracy	31.52305933932529	#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x))
accuracy	0	(*.f64 z z)
accuracy	0.15234375	(.f64 (.f64 z z) #s(literal 3 binary64))
accuracy	28.125296417221453	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
accuracy	0	(*.f64 y x)
accuracy	31.534391439566722	#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	0.060878759768442016	(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
accuracy	0.7578042428166806	(fma.f64 z z (*.f64 y x))

Samples

57.0ms

256×

valid

Compiler

Compiled 146 to 21 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 36.0ms (83.9% of total)

ival-add: 6.0ms (14% of total)

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

exact: 0.0ms (0% of total)

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

series35.0ms (0.5%)

Memory

-9.6MiB live, 25.6MiB allocated

Counts

13 → 360

Calls

Call 1

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

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

Calls

9 calls:

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

simplify155.0ms (2.2%)

Memory

-18.2MiB live, 135.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	2402
1	304	2402
2	918	2402
3	2516	2402
4	6218	2402
0	8498	2186

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

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

rewrite397.0ms (5.8%)

Memory

-4.8MiB live, 278.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	140
0	36	138
1	145	112
2	1160	108
0	8388	105

Stop Event

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

Counts

13 → 472

Calls

Call 1

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

Outputs
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eval118.0ms (1.7%)

Memory: 43.7MiB live, 222.0MiB allocated
Compiler: Compiled 18 221 to 1 084 computations (94.1% saved)

prune81.0ms (1.2%)

Memory

-17.5MiB live, 115.0MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	923	5	928
Fresh	2	0	2
Picked	3	2	5
Done	0	0	0
Total	928	7	935

Accuracy

100.0%

Counts

935 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.3%	(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 x y))
▶	74.3%	(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
▶	41.5%	(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (-.f64 (.f64 x y) (.f64 (*.f64 #s(literal 3 binary64) z) z)))
▶	56.0%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
✓	55.9%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
▶	55.9%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
✓	50.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Compiler

Compiled 112 to 98 computations (12.5% saved)

simplify249.0ms (3.6%)

Memory

-15.2MiB live, 59.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (*.f64 x y) #s(literal 2 binary64))
cost-diff	0	(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (-.f64 (.f64 x y) (.f64 (*.f64 #s(literal 3 binary64) z) z)))
cost-diff	128	(-.f64 (.f64 x y) (.f64 (*.f64 #s(literal 3 binary64) z) z))
cost-diff	128	(-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))
cost-diff	-128	(+.f64 z z)
cost-diff	0	(*.f64 z z)
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
cost-diff	384	(fma.f64 z (+.f64 z z) (*.f64 z z))
cost-diff	0	(*.f64 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 #s(literal 3 binary64))
cost-diff	0	(.f64 (.f64 z #s(literal 3 binary64)) z)
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
cost-diff	0	(*.f64 x y)
cost-diff	0	(*.f64 z z)
cost-diff	0	(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 x y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	199
0	50	185
1	86	175
2	149	175
3	253	175
4	488	175
5	984	175
6	2052	175
7	4006	175
8	4729	175
9	4809	175
10	4811	175
11	4811	175
12	4959	175
13	4987	175
14	4987	175
15	4987	175
16	4990	175
0	4990	169

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 x y))
(*.f64 z z)
z
#s(literal 3 binary64)
(*.f64 x y)
x
y
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
(.f64 (.f64 z #s(literal 3 binary64)) z)
(*.f64 z #s(literal 3 binary64))
z
#s(literal 3 binary64)
(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
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
(fma.f64 z (+.f64 z z) (*.f64 z z))
z
(+.f64 z z)
(*.f64 z z)
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (-.f64 (.f64 x y) (.f64 (*.f64 #s(literal 3 binary64) z) z)))
(-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))
(pow.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
x
y
#s(literal 2 binary64)
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
#s(literal 9 binary64)
(pow.f64 z #s(literal 4 binary64))
z
#s(literal 4 binary64)
(-.f64 (.f64 x y) (.f64 (*.f64 #s(literal 3 binary64) z) z))
(.f64 (.f64 #s(literal 3 binary64) z) z)
(*.f64 #s(literal 3 binary64) z)
#s(literal 3 binary64)

Outputs
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 x y))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x))
(*.f64 z z)
z
#s(literal 3 binary64)
(*.f64 x y)
(*.f64 y x)
x
y
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
(.f64 (.f64 z #s(literal 3 binary64)) z)
(.f64 (.f64 #s(literal 3 binary64) z) z)
(*.f64 z #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) z)
z
#s(literal 3 binary64)
(fma.f64 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
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
(fma.f64 z (+.f64 z z) (*.f64 z z))
(.f64 (.f64 #s(literal 3 binary64) z) z)
z
(+.f64 z z)
(*.f64 #s(literal 2 binary64) z)
(*.f64 z z)
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (-.f64 (.f64 x y) (.f64 (*.f64 #s(literal 3 binary64) z) z)))
(/.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 #s(literal -3 binary64) (.f64 z z) (*.f64 y x)))
(-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(pow.f64 (*.f64 x y) #s(literal 2 binary64))
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 x y)
(*.f64 y x)
x
y
#s(literal 2 binary64)
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64))
#s(literal 9 binary64)
(pow.f64 z #s(literal 4 binary64))
z
#s(literal 4 binary64)
(-.f64 (.f64 x y) (.f64 (*.f64 #s(literal 3 binary64) z) z))
(fma.f64 #s(literal -3 binary64) (.f64 z z) (.f64 y x))
(.f64 (.f64 #s(literal 3 binary64) z) z)
(*.f64 #s(literal 3 binary64) z)
#s(literal 3 binary64)

localize133.0ms (1.9%)

Memory

31.0MiB live, 145.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.26791000976844204	(pow.f64 (*.f64 x y) #s(literal 2 binary64))
accuracy	0.9609313074906175	(-.f64 (.f64 x y) (.f64 (*.f64 #s(literal 3 binary64) z) z))
accuracy	5.347625287453088	(-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))
accuracy	33.941800743192964	(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (-.f64 (.f64 x y) (.f64 (*.f64 #s(literal 3 binary64) z) z)))
accuracy	0	(+.f64 z z)
accuracy	0	(*.f64 z z)
accuracy	0.0703125	(fma.f64 z (+.f64 z z) (*.f64 z z))
accuracy	28.125296417221453	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
accuracy	0	(*.f64 x y)
accuracy	0.05078125	(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
accuracy	31.52305933932529	#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))
accuracy	0	(*.f64 z #s(literal 3 binary64))
accuracy	0.15234375	(.f64 (.f64 z #s(literal 3 binary64)) z)
accuracy	28.125296417221453	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
accuracy	0	(*.f64 z z)
accuracy	0	(*.f64 x y)
accuracy	0.9335916858302058	(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 x y))

Samples

104.0ms

256×

valid

Compiler

Compiled 181 to 30 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-pow2: 36.0ms (41.4% of total)

ival-div: 21.0ms (24.1% of total)

ival-mult: 17.0ms (19.5% of total)

ival-add: 7.0ms (8% of total)

ival-pow: 3.0ms (3.4% of total)

ival-sub: 2.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

series47.0ms (0.7%)

Memory

-14.0MiB live, 73.7MiB allocated

Counts

15 → 396

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 x y)) (patch (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 x y)) #<representation binary64>) () ())
#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 z #s(literal 3 binary64)) z) (patch (.f64 (.f64 z #s(literal 3 binary64)) z) #<representation binary64>) () ())
#s(alt (.f64 z #s(literal 3 binary64)) (patch (.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 z 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 z (+.f64 z z) (.f64 z z)) (patch (fma.f64 z (+.f64 z z) (.f64 z z)) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (.f64 z z))) (patch #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z))) #<representation binary64>) () ())
#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (patch (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 x y) (.f64 (.f64 #s(literal 3 binary64) z) z)) (patch (-.f64 (.f64 x y) (.f64 (.f64 #s(literal 3 binary64) z) z)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (-.f64 (.f64 x y) (.f64 (.f64 #s(literal 3 binary64) z) z))) (patch (/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (-.f64 (.f64 x y) (.f64 (.f64 #s(literal 3 binary64) z) z))) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 x y) #s(literal 2 binary64)) (patch (pow.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())

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

Calls

9 calls:

Time	Variable		Point	Expression
15.0ms	z	@	0	((+ (* (* z z) 3) (* x y)) (* z z) (* x y) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (+ (* z z) (+ (+ (* x y) (* z z)) (* z z))) (+ (+ (* x y) (* z z)) (* z z)) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ z z) (- (pow (* x y) 2) (* 9 (pow z 4))) (- (* x y) (* (* 3 z) z)) (/ (- (pow (* x y) 2) (* 9 (pow z 4))) (- (* x y) (* (* 3 z) z))) (pow (* x y) 2))
6.0ms	x	@	0	((+ (* (* z z) 3) (* x y)) (* z z) (* x y) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (+ (* z z) (+ (+ (* x y) (* z z)) (* z z))) (+ (+ (* x y) (* z z)) (* z z)) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ z z) (- (pow (* x y) 2) (* 9 (pow z 4))) (- (* x y) (* (* 3 z) z)) (/ (- (pow (* x y) 2) (* 9 (pow z 4))) (- (* x y) (* (* 3 z) z))) (pow (* x y) 2))
3.0ms	z	@	inf	((+ (* (* z z) 3) (* x y)) (* z z) (* x y) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (+ (* z z) (+ (+ (* x y) (* z z)) (* z z))) (+ (+ (* x y) (* z z)) (* z z)) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ z z) (- (pow (* x y) 2) (* 9 (pow z 4))) (- (* x y) (* (* 3 z) z)) (/ (- (pow (* x y) 2) (* 9 (pow z 4))) (- (* x y) (* (* 3 z) z))) (pow (* x y) 2))
2.0ms	z	@	-inf	((+ (* (* z z) 3) (* x y)) (* z z) (* x y) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (+ (* z z) (+ (+ (* x y) (* z z)) (* z z))) (+ (+ (* x y) (* z z)) (* z z)) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ z z) (- (pow (* x y) 2) (* 9 (pow z 4))) (- (* x y) (* (* 3 z) z)) (/ (- (pow (* x y) 2) (* 9 (pow z 4))) (- (* x y) (* (* 3 z) z))) (pow (* x y) 2))
2.0ms	y	@	inf	((+ (* (* z z) 3) (* x y)) (* z z) (* x y) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (+ (* z z) (+ (+ (* x y) (* z z)) (* z z))) (+ (+ (* x y) (* z z)) (* z z)) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ z z) (- (pow (* x y) 2) (* 9 (pow z 4))) (- (* x y) (* (* 3 z) z)) (/ (- (pow (* x y) 2) (* 9 (pow z 4))) (- (* x y) (* (* 3 z) z))) (pow (* x y) 2))

simplify302.0ms (4.4%)

Memory

29.6MiB live, 248.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	3036
1	343	3036
2	1024	3036
3	3205	2868
0	8564	2724

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

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

rewrite463.0ms (6.7%)

Memory

-36.0MiB live, 301.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	157
0	50	130
1	205	116
2	1627	116
0	9198	112

Stop Event

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

Counts

15 → 1 375

Calls

Call 1

Inputs
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 x y))
(*.f64 z z)
(*.f64 x y)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
(.f64 (.f64 z #s(literal 3 binary64)) z)
(*.f64 z #s(literal 3 binary64))
(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 z (+.f64 z z) (*.f64 z z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
(+.f64 z z)
(-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))
(-.f64 (.f64 x y) (.f64 (*.f64 #s(literal 3 binary64) z) z))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (-.f64 (.f64 x y) (.f64 (*.f64 #s(literal 3 binary64) z) z)))
(pow.f64 (*.f64 x y) #s(literal 2 binary64))

Outputs
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eval325.0ms (4.7%)

Memory: 39.3MiB live, 620.1MiB allocated
Compiler: Compiled 53 603 to 3 090 computations (94.2% saved)

prune96.0ms (1.4%)

Memory

-31.8MiB live, 168.2MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	1 888	1	1 889
Fresh	0	0	0
Picked	1	4	5
Done	0	2	2
Total	1 889	7	1 896

Accuracy

100.0%

Counts

1 896 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.3%	(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 x y))
✓	74.3%	(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
▶	17.5%	(/.f64 #s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64))) (-.f64 (.f64 x y) (.f64 (.f64 #s(literal 3 binary64) z) z)))
✓	56.0%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
✓	55.9%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
✓	55.9%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
✓	50.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Compiler

Compiled 56 to 53 computations (5.4% saved)

simplify98.0ms (1.4%)

Memory

2.3MiB live, 40.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64))
cost-diff	0	#s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64)))
cost-diff	0	(/.f64 #s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64))) (-.f64 (.f64 x y) (.f64 (.f64 #s(literal 3 binary64) z) z)))
cost-diff	128	(-.f64 (.f64 x y) (.f64 (*.f64 #s(literal 3 binary64) z) z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	78
0	28	78
1	46	78
2	89	78
3	125	78
4	185	78
5	296	78
6	518	78
7	696	78
8	834	78
9	960	78
10	1091	78
11	1159	78
12	1173	78
13	1189	78
14	1201	78
15	1205	78
0	1205	74

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 #s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64))) (-.f64 (.f64 x y) (.f64 (.f64 #s(literal 3 binary64) z) z)))
#s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64)))
(*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64))
(pow.f64 z #s(literal 4 binary64))
z
#s(literal 4 binary64)
#s(literal -9 binary64)
(-.f64 (.f64 x y) (.f64 (*.f64 #s(literal 3 binary64) z) z))
(*.f64 x y)
x
y
(.f64 (.f64 #s(literal 3 binary64) z) z)
(*.f64 #s(literal 3 binary64) z)
#s(literal 3 binary64)

Outputs
(/.f64 #s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64))) (-.f64 (.f64 x y) (.f64 (.f64 #s(literal 3 binary64) z) z)))
(/.f64 #s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (.f64 #s(literal -9 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 #s(literal -3 binary64) (.f64 z z) (*.f64 y x)))
#s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64)))
#s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (*.f64 #s(literal -9 binary64) (pow.f64 z #s(literal 4 binary64))))
(*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64))
(*.f64 #s(literal -9 binary64) (pow.f64 z #s(literal 4 binary64)))
(pow.f64 z #s(literal 4 binary64))
z
#s(literal 4 binary64)
#s(literal -9 binary64)
(-.f64 (.f64 x y) (.f64 (*.f64 #s(literal 3 binary64) z) z))
(fma.f64 #s(literal -3 binary64) (.f64 z z) (.f64 y x))
(*.f64 x y)
(*.f64 y x)
x
y
(.f64 (.f64 #s(literal 3 binary64) z) z)
(*.f64 #s(literal 3 binary64) z)
#s(literal 3 binary64)

localize91.0ms (1.3%)

Memory

3.2MiB live, 42.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.15234375	(.f64 (.f64 #s(literal 3 binary64) z) z)
accuracy	0.9609313074906175	(-.f64 (.f64 x y) (.f64 (*.f64 #s(literal 3 binary64) z) z))
accuracy	25.361821665668085	#s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64)))
accuracy	33.941800743192964	(/.f64 #s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64))) (-.f64 (.f64 x y) (.f64 (.f64 #s(literal 3 binary64) z) z)))

Samples

79.0ms

256×

valid

Compiler

Compiled 68 to 19 computations (72.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 59.0ms (85.7% of total)

ival-pow2: 3.0ms (4.4% of total)

ival-pow: 3.0ms (4.4% of total)

ival-sub: 2.0ms (2.9% of total)

ival-div: 2.0ms (2.9% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.2%)

Memory

19.6MiB live, 19.6MiB allocated

Counts

5 → 132

Calls

Call 1

Inputs
#s(alt (-.f64 (.f64 x y) (.f64 (.f64 #s(literal 3 binary64) z) z)) (patch (-.f64 (.f64 x y) (.f64 (.f64 #s(literal 3 binary64) z) z)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64))) (-.f64 (.f64 x y) (.f64 (.f64 #s(literal 3 binary64) z) z))) (patch (/.f64 #s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64))) (-.f64 (.f64 x y) (.f64 (.f64 #s(literal 3 binary64) z) z))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64))) (patch #s(approx (- (pow ( x y) 2) (* 9 (pow z 4))) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64)) (patch (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 3 binary64) z) z) (patch (.f64 (.f64 #s(literal 3 binary64) z) z) #<representation binary64>) () ())

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

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	((- (* x y) (* (* 3 z) z)) (/ (- (pow (* x y) 2) (* 9 (pow z 4))) (- (* x y) (* (* 3 z) z))) (- (pow (* x y) 2) (* 9 (pow z 4))) (* (pow z 4) -9) (* (* 3 z) z))
1.0ms	z	@	-inf	((- (* x y) (* (* 3 z) z)) (/ (- (pow (* x y) 2) (* 9 (pow z 4))) (- (* x y) (* (* 3 z) z))) (- (pow (* x y) 2) (* 9 (pow z 4))) (* (pow z 4) -9) (* (* 3 z) z))
1.0ms	z	@	0	((- (* x y) (* (* 3 z) z)) (/ (- (pow (* x y) 2) (* 9 (pow z 4))) (- (* x y) (* (* 3 z) z))) (- (pow (* x y) 2) (* 9 (pow z 4))) (* (pow z 4) -9) (* (* 3 z) z))
1.0ms	y	@	-inf	((- (* x y) (* (* 3 z) z)) (/ (- (pow (* x y) 2) (* 9 (pow z 4))) (- (* x y) (* (* 3 z) z))) (- (pow (* x y) 2) (* 9 (pow z 4))) (* (pow z 4) -9) (* (* 3 z) z))
1.0ms	x	@	-inf	((- (* x y) (* (* 3 z) z)) (/ (- (pow (* x y) 2) (* 9 (pow z 4))) (- (* x y) (* (* 3 z) z))) (- (pow (* x y) 2) (* 9 (pow z 4))) (* (pow z 4) -9) (* (* 3 z) z))

simplify170.0ms (2.5%)

Memory

-1.1MiB live, 108.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	1082
1	192	1082
2	547	1082
3	1543	1082
4	3974	1082
5	7832	1082
0	8428	1001

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

rewrite443.0ms (6.4%)

Memory

-20.2MiB live, 255.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	63
0	28	63
1	92	63
2	579	63
3	5664	63
0	8259	59

Stop Event

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

Counts

5 → 271

Calls

Call 1

Inputs
(-.f64 (.f64 x y) (.f64 (*.f64 #s(literal 3 binary64) z) z))
(/.f64 #s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64))) (-.f64 (.f64 x y) (.f64 (.f64 #s(literal 3 binary64) z) z)))
#s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64)))
(*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64))
(.f64 (.f64 #s(literal 3 binary64) z) z)

Outputs
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eval46.0ms (0.7%)

Memory: -29.0MiB live, 127.2MiB allocated
Compiler: Compiled 11 193 to 869 computations (92.2% saved)

prune13.0ms (0.2%)

Memory

5.6MiB live, 44.2MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	402	1	403
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	403	7	410

Accuracy

100.0%

Counts

410 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.3%	(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 x y))
✓	74.3%	(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
	17.5%	(/.f64 #s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (.f64 (.f64 (.f64 (.f64 z z) #s(literal -9 binary64)) z) z)) (-.f64 (.f64 x y) (.f64 (*.f64 #s(literal 3 binary64) z) z)))
✓	56.0%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
✓	55.9%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
✓	55.9%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
✓	50.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Compiler

Compiled 239 to 113 computations (52.7% saved)

regimes31.0ms (0.4%)

Memory

24.7MiB live, 63.2MiB allocated

Counts

15 → 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 #s(literal 3 binary64)) z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x)))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 x y))
(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(/.f64 #s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (.f64 (.f64 (.f64 (.f64 z z) #s(literal -9 binary64)) z) z)) (-.f64 (.f64 x y) (.f64 (*.f64 #s(literal 3 binary64) z) z)))
(/.f64 #s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64))) (-.f64 (.f64 x y) (.f64 (.f64 #s(literal 3 binary64) z) z)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (-.f64 (.f64 x y) (.f64 (*.f64 #s(literal 3 binary64) z) z)))
(+.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 z z (.f64 y x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (fma.f64 z z (.f64 y x)) (fma.f64 y x #s(literal 0 binary64)) (pow.f64 z #s(literal 4 binary64)))) (*.f64 z z))

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

Calls

6 calls:

6.0ms	z
5.0ms	x
5.0ms	y
5.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
5.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
98.7%	1	`x`
98.7%	1	`y`
98.7%	1	`z`
98.7%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
98.7%	1	`(*.f64 x y)`
98.7%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes23.0ms (0.3%)

Memory

-0.9MiB live, 43.8MiB allocated

Counts

9 → 1

Calls

Call 1

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

6.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
4.0ms	y
3.0ms	x
3.0ms	z
3.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
98.7%	1	`x`
98.7%	1	`(*.f64 x y)`
98.7%	1	`y`
98.7%	1	`z`
98.7%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
98.7%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes18.0ms (0.3%)

Memory

0.0MiB live, 38.1MiB 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 #s(literal 3 binary64)) z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
79.9%	3	`x`
79.7%	3	`y`
87.9%	2	`z`
84.6%	3	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
84.3%	3	`(*.f64 x y)`
87.9%	2	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes7.0ms (0.1%)

Memory

-25.6MiB live, 13.0MiB allocated

Counts

5 → 2

Calls

Call 1

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
87.8%	2	`z`
87.8%	2	`(*.f64 z z)`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes4.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
87.1%	2	`z`
87.1%	2	`(*.f64 z z)`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes3.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB 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 #s(literal 3 binary64)) z))

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes10.0ms (0.1%)

Memory

-14.8MiB live, 23.7MiB 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:

3.0ms	y
1.0ms	z
1.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
1.0ms	x
1.0ms	(*.f64 x y)

Results

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

Compiler

Compiled 24 to 25 computations (-4.2% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.318614309602911e-45	2.490597285746724e-34

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.318614309602911e-45	2.490597285746724e-34

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.318614309602911e-45	2.490597285746724e-34

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.318614309602911e-45	2.490597285746724e-34

Compiler

Compiled 14 to 14 computations (0% saved)

simplify45.0ms (0.7%)

Memory

10.1MiB live, 56.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	239
1	40	239

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 8034690221294951/803469022129495137770981046170581301261101496891396417650688 binary64)) (fma.f64 z z #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 x y))) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 8034690221294951/803469022129495137770981046170581301261101496891396417650688 binary64)) (fma.f64 z z #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 x y))) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 8034690221294951/803469022129495137770981046170581301261101496891396417650688 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 8034690221294951/803469022129495137770981046170581301261101496891396417650688 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)))
#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 8034690221294951/803469022129495137770981046170581301261101496891396417650688 binary64)) (fma.f64 z z #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 x y))) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 8034690221294951/803469022129495137770981046170581301261101496891396417650688 binary64)) (fma.f64 z z #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 x y))) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 8034690221294951/803469022129495137770981046170581301261101496891396417650688 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 8034690221294951/803469022129495137770981046170581301261101496891396417650688 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 x y)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 8034690221294951/803469022129495137770981046170581301261101496891396417650688 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)))
(if (<=.f64 (.f64 z z) #s(literal 8034690221294951/803469022129495137770981046170581301261101496891396417650688 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 #s(literal 3 binary64) z) z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))

soundness889.0ms (12.9%)

Memory

26.2MiB live, 569.4MiB allocated

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
0	87	2402
1	304	2402
2	918	2402
3	2516	2402
4	6218	2402
0	8498	2186
0	23	140
0	36	138
1	145	112
2	1160	108
0	8388	105
0	8	36
0	13	36
1	55	32
2	517	26
3	7580	26
0	8184	23

Stop Event

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

Compiler

Compiled 236 to 127 computations (46.2% saved)

preprocess100.0ms (1.5%)

Memory

-30.6MiB live, 139.3MiB allocated

Remove

(sort x y)

(abs z)

Compiler

Compiled 418 to 218 computations (47.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (15.7%)

explain105.0ms (1.5%)

preprocess117.0ms (1.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize20.0ms (0.3%)

series140.0ms (2%)

simplify178.0ms (2.6%)

rewrite471.0ms (6.8%)

eval190.0ms (2.8%)

prune12.0ms (0.2%)

simplify100.0ms (1.4%)

localize70.0ms (1%)

series35.0ms (0.5%)

simplify155.0ms (2.2%)

rewrite397.0ms (5.8%)

eval118.0ms (1.7%)

prune81.0ms (1.2%)

simplify249.0ms (3.6%)

localize133.0ms (1.9%)

series47.0ms (0.7%)

simplify302.0ms (4.4%)

rewrite463.0ms (6.7%)

eval325.0ms (4.7%)

prune96.0ms (1.4%)

simplify98.0ms (1.4%)

localize91.0ms (1.3%)

series14.0ms (0.2%)

simplify170.0ms (2.5%)

rewrite443.0ms (6.4%)

eval46.0ms (0.7%)

prune13.0ms (0.2%)

regimes31.0ms (0.4%)

regimes23.0ms (0.3%)

regimes18.0ms (0.3%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes10.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify45.0ms (0.7%)

soundness889.0ms (12.9%)

preprocess100.0ms (1.5%)

end0.0ms (0%)

Profiling