Metrics for Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB 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 11 to 10 computations (9.1% saved)

sample545.0ms (21%)

Memory

211.0MiB live, 211.0MiB allocated

Samples

333.0ms	8 253×	0	valid
0.0ms	2×	1	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 177.0ms

ival-add: 63.0ms (35.6% of total)

ival-div: 51.0ms (28.9% of total)

ival-mult: 50.0ms (28.3% of total)

ival-true: 6.0ms (3.4% of total)

exact: 4.0ms (2.3% of total)

ival-assert: 3.0ms (1.7% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain105.0ms (4%)

Memory

52.7MiB live, 52.7MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
-	-	`#s(literal 2 binary64)`
-	-	`y`
-	-	`(/.f64 x #s(literal 2 binary64))`
-	-	`z`
-	-	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
-	-	`(*.f64 y x)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

26.0ms

512×

valid

Compiler

Compiled 143 to 64 computations (55.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-add: 4.0ms (34.8% of total)

ival-mult: 4.0ms (34.8% of total)

ival-div: 3.0ms (26.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess66.0ms (2.5%)

Memory

6.4MiB live, 6.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	88
1	88	82
2	232	81
3	662	69
4	1166	65
5	1714	63
6	2190	63
7	2376	63
8	2424	63
9	2432	63
10	2432	63
0	8	9
0	12	9
1	17	9
2	24	9
3	26	9
0	26	8

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0.1%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y x)
cost-diff	0	(/.f64 x #s(literal 2 binary64))
cost-diff	0	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
cost-diff	128	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
0	12	26
1	17	26
2	24	26
3	26	26
0	26	24

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize17.0ms (0.7%)

Memory

8.0MiB live, 8.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x #s(literal 2 binary64))
accuracy	0	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
accuracy	0	(*.f64 y x)
accuracy	0.0078125	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))

Samples

12.0ms

256×

valid

Compiler

Compiled 54 to 18 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (36.4% of total)

ival-add: 2.0ms (36.4% of total)

ival-mult: 2.0ms (36.4% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.3%)

Memory

3.6MiB live, 3.6MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((+ (/ x 2) (* y x)) (+ (+ (/ x 2) (* y x)) z) (/ x 2) (* y x))
1.0ms	x	@	inf	((+ (/ x 2) (* y x)) (+ (+ (/ x 2) (* y x)) z) (/ x 2) (* y x))
1.0ms	y	@	-inf	((+ (/ x 2) (* y x)) (+ (+ (/ x 2) (* y x)) z) (/ x 2) (* y x))
0.0ms	x	@	0	((+ (/ x 2) (* y x)) (+ (+ (/ x 2) (* y x)) z) (/ x 2) (* y x))
0.0ms	y	@	inf	((+ (/ x 2) (* y x)) (+ (+ (/ x 2) (* y x)) z) (/ x 2) (* y x))

simplify83.0ms (3.2%)

Memory

19.8MiB live, 19.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	440
1	174	440
2	488	440
3	1308	440
4	3609	440
5	6674	440
0	8210	412

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 93

Calls

Call 1

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

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

rewrite127.0ms (4.9%)

Memory

46.8MiB live, 46.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
0	12	22
1	52	18
2	452	18
3	6077	18
0	8040	17

Stop Event

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

Counts

4 → 242

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval31.0ms (1.2%)

Memory: 28.3MiB live, 28.3MiB allocated
Compiler: Compiled 6 518 to 757 computations (88.4% saved)

prune7.0ms (0.3%)

Memory

15.5MiB live, 15.5MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	330	5	335
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	331	5	336

Accuracy

100.0%

Counts

336 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z))
▶	77.3%	(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)
▶	62.8%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z))
▶	60.5%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
▶	38.8%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))

Compiler

Compiled 56 to 60 computations (-7.1% saved)

simplify4.0ms (0.2%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ (/ x 2) (* y x)) (*.f64 y x))
cost-diff	0	(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)
cost-diff	0	(-.f64 y #s(literal -1/2 binary64))
cost-diff	0	(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
cost-diff	0	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
cost-diff	0	(fma.f64 x #s(literal 1/2 binary64) z)
cost-diff	0	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) x z)
cost-diff	192	(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	110
0	30	110
1	45	110
2	60	110
3	62	110
0	62	104

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize35.0ms (1.4%)

Memory

16.8MiB live, 16.8MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)
accuracy	0	(*.f64 y x)
accuracy	30.933879496683733	#s(approx (+ (/ x 2) (* y x)) (*.f64 y x))
accuracy	0	(-.f64 y #s(literal -1/2 binary64))
accuracy	0.015625	(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
accuracy	25.282191523325974	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
accuracy	0	(fma.f64 x #s(literal 1/2 binary64) z)
accuracy	23.79544383306644	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z))
accuracy	0	(*.f64 y x)
accuracy	39.184137103840875	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
accuracy	0	(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z))
accuracy	0	(fma.f64 #s(literal 1/2 binary64) x z)

Samples

25.0ms

256×

valid

Compiler

Compiled 162 to 35 computations (78.4% saved)

Precisions

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

ival-mult: 6.0ms (44.3% of total)

ival-add: 5.0ms (36.9% of total)

ival-div: 1.0ms (7.4% of total)

ival-sub: 1.0ms (7.4% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.4%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

11 → 312

Calls

Call 1

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

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

Calls

9 calls:

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

simplify93.0ms (3.6%)

Memory

20.7MiB live, 20.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	1624
1	223	1624
2	598	1624
3	1758	1624
4	3779	1624
5	5792	1624
6	7244	1624
0	8030	1448

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 289

Calls

Call 1

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

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

rewrite132.0ms (5.1%)

Memory

50.6MiB live, 50.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	92
0	30	86
1	139	82
2	960	82
0	8321	78

Stop Event

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

Counts

11 → 375

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval86.0ms (3.3%)

Memory: 56.6MiB live, 56.6MiB allocated
Compiler: Compiled 10 472 to 1 093 computations (89.6% saved)

prune28.0ms (1.1%)

Memory

29.4MiB live, 29.4MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	689	2	691
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	690	6	696

Accuracy

100.0%

Counts

696 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.5%	(fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))))
✓	77.3%	(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)
✓	62.8%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z))
✓	60.5%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
▶	23.6%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x))
✓	38.8%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))

Compiler

Compiled 33 to 38 computations (-15.2% saved)

simplify4.0ms (0.1%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	58
0	22	58
1	33	58
2	41	58
3	43	58
0	43	55

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize36.0ms (1.4%)

Memory

13.1MiB live, 13.1MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))))
accuracy	0	(*.f64 x #s(literal 1/2 binary64))
accuracy	33.303088399220336	#s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))
accuracy	0.015625	(*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)
accuracy	25.282191523325974	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x))
accuracy	31.809380454126114	#s(approx (- y -1/2) #s(literal 1/2 binary64))

Samples

26.0ms

256×

valid

Compiler

Compiled 71 to 28 computations (60.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 6.0ms (39.3% of total)

ival-add: 5.0ms (32.7% of total)

ival-div: 2.0ms (13.1% of total)

ival-sub: 1.0ms (6.5% of total)

exact: 1.0ms (6.5% of total)

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

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

series9.0ms (0.3%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

6 → 144

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) (+ (* y x) (+ (* 1/2 x) z)) (+ (* 1/2 x) z) (* x 1/2))
1.0ms	x	@	inf	((+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) (+ (* y x) (+ (* 1/2 x) z)) (+ (* 1/2 x) z) (* x 1/2))
0.0ms	y	@	-inf	((+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) (+ (* y x) (+ (* 1/2 x) z)) (+ (* 1/2 x) z) (* x 1/2))
0.0ms	x	@	0	((+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) (+ (* y x) (+ (* 1/2 x) z)) (+ (* 1/2 x) z) (* x 1/2))
0.0ms	y	@	inf	((+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) (+ (* y x) (+ (* 1/2 x) z)) (+ (* 1/2 x) z) (* x 1/2))

simplify100.0ms (3.9%)

Memory

18.5MiB live, 18.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	718
1	223	718
2	598	718
3	1758	718
4	3779	718
5	5792	718
6	7244	718
0	8030	644

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 133

Calls

Call 1

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

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

rewrite149.0ms (5.7%)

Memory

48.1MiB live, 48.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	53
0	22	53
1	107	51
2	783	51
0	8439	48

Stop Event

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

Counts

6 → 66

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval24.0ms (0.9%)

Memory: 16.2MiB live, 16.2MiB allocated
Compiler: Compiled 2 355 to 210 computations (91.1% saved)

prune11.0ms (0.4%)

Memory

10.9MiB live, 10.9MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	199	0	199
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	199	6	205

Accuracy

100.0%

Counts

205 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	60.5%	(fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))))
✓	77.3%	(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)
✓	62.8%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z))
✓	60.5%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
✓	23.6%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x))
✓	38.8%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))

Compiler

Compiled 82 to 64 computations (22% saved)

regimes19.0ms (0.8%)

Memory

10.3MiB live, 10.3MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
4.0ms	x
4.0ms	z
4.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
4.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
100.0%	1	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes17.0ms (0.6%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	z
3.0ms	x
3.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
3.0ms	y
3.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)

Results

Accuracy	Segments	Branch
87.8%	3	`x`
98.6%	3	`y`
89.7%	3	`z`
81.5%	3	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
89.4%	4	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes11.0ms (0.4%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

3.0ms	z
3.0ms	y
3.0ms	x
3.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))

Results

Accuracy	Segments	Branch
80.4%	3	`x`
87.7%	3	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
83.7%	3	`z`
87.7%	3	`y`

Compiler

Compiled 10 to 16 computations (-60% saved)

regimes5.0ms (0.2%)

Memory

3.5MiB live, 3.5MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))

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

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

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

Calls

2 calls:

2.0ms	y
2.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))

Results

Accuracy	Segments	Branch
86.8%	3	`y`
77.5%	3	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes11.0ms (0.4%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

5 calls:

2.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
2.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
2.0ms	y
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
42.4%	3	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
38.8%	1	`x`
42.4%	3	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
38.8%	1	`z`
59.1%	3	`y`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes7.0ms (0.3%)

Memory

6.0MiB live, 6.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))

Outputs
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))

Calls

4 calls:

2.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
2.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
38.8%	1	`z`
38.8%	1	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
38.8%	1	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
38.8%	1	`y`

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch25.0ms (1%)

Memory

7.3MiB live, 7.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	9.302345143727795e-10	0.0008105783715325085
9.0ms	-936.1484432276291	-72.1402902541629

Samples

13.0ms

240×

valid

Compiler

Compiled 177 to 224 computations (-26.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (31.7% of total)

ival-add: 2.0ms (31.7% of total)

ival-mult: 2.0ms (31.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.4733681769865288e+77	4.447598536548852e+88
0.0ms	-9.969103010821694e+102	-1.7206695541201437e+102

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch29.0ms (1.1%)

Memory

8.7MiB live, 8.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.0008105783715325085	81.16568437584831
13.0ms	-9.182621796786604e+23	-749131168063150300.0

Samples

15.0ms

288×

valid

Compiler

Compiled 174 to 248 computations (-42.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-add: 3.0ms (39.7% of total)

ival-div: 2.0ms (26.5% of total)

ival-mult: 2.0ms (26.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch28.0ms (1.1%)

Memory

8.3MiB live, 8.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.0008105783715325085	81.16568437584831
15.0ms	-72.1402902541629	-5.309294607893827e-15

Samples

14.0ms

272×

valid

Compiler

Compiled 183 to 280 computations (-53% saved)

Precisions

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

ival-add: 3.0ms (42.3% of total)

ival-div: 2.0ms (28.2% of total)

ival-mult: 2.0ms (28.2% of total)

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

exact: 0.0ms (0% of total)

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

simplify30.0ms (1.1%)

Memory

18.8MiB live, 18.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	231
1	56	231
2	61	231
3	63	231
4	64	231

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z))
(if (<=.f64 y #s(literal -75 binary64)) (+.f64 #s(approx (+ (/ x 2) (* y x)) (.f64 y x)) z) (if (<=.f64 y #s(literal 7378697629483821/9223372036854775808 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)))
(if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal -5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) (.f64 (-.f64 y #s(literal -1/2 binary64)) x)) (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal 199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))))
(if (<=.f64 y #s(literal -1120000000000000000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) (if (<=.f64 y #s(literal 80 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))))
(if (<=.f64 y #s(literal -1/2 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) (if (<=.f64 y #s(literal 1/2 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) (.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #s(approx (+ (+ (/ x 2) ( y x)) z) (*.f64 y x))))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))

Outputs
(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z))
(if (<=.f64 y #s(literal -75 binary64)) (+.f64 #s(approx (+ (/ x 2) (* y x)) (.f64 y x)) z) (if (<=.f64 y #s(literal 7378697629483821/9223372036854775808 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)))
(if (<=.f64 y #s(literal -75 binary64)) (+.f64 #s(approx (+ (/ x 2) (* y x)) (.f64 x y)) z) (if (<=.f64 y #s(literal 7378697629483821/9223372036854775808 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)))
(if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal -5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) (.f64 (-.f64 y #s(literal -1/2 binary64)) x)) (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal 199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))))
(if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 x y)) #s(literal -5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) (.f64 (-.f64 y #s(literal -1/2 binary64)) x)) (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 x y)) #s(literal 199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))))
(if (<=.f64 y #s(literal -1120000000000000000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) (if (<=.f64 y #s(literal 80 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))))
(if (<=.f64 y #s(literal -1120000000000000000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 x y)) (if (<=.f64 y #s(literal 80 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y))))
(if (<=.f64 y #s(literal -1/2 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) (if (<=.f64 y #s(literal 1/2 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) (.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #s(approx (+ (+ (/ x 2) ( y x)) z) (*.f64 y x))))
(if (<=.f64 y #s(literal -1/2 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 x y)) (if (<=.f64 y #s(literal 1/2 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) (.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #s(approx (+ (+ (/ x 2) ( y x)) z) (*.f64 x y))))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y))

soundness641.0ms (24.7%)

Memory

5.9MiB live, 5.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	1624
1	223	1624
2	598	1624
3	1758	1624
4	3779	1624
5	5792	1624
6	7244	1624
0	8030	1448
0	8	22
0	12	22
1	52	18
2	452	18
3	6077	18
0	8040	17
0	57	440
1	174	440
2	488	440
3	1308	440
4	3609	440
5	6674	440
0	8210	412

Stop Event

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

Compiler

Compiled 171 to 105 computations (38.6% saved)

preprocess53.0ms (2%)

Memory: 34.4MiB live, 34.4MiB allocated
Compiler: Compiled 248 to 104 computations (58.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample545.0ms (21%)

explain105.0ms (4%)

preprocess66.0ms (2.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize17.0ms (0.7%)

series7.0ms (0.3%)

simplify83.0ms (3.2%)

rewrite127.0ms (4.9%)

eval31.0ms (1.2%)

prune7.0ms (0.3%)

simplify4.0ms (0.2%)

localize35.0ms (1.4%)

series12.0ms (0.4%)

simplify93.0ms (3.6%)

rewrite132.0ms (5.1%)

eval86.0ms (3.3%)

prune28.0ms (1.1%)

simplify4.0ms (0.1%)

localize36.0ms (1.4%)

series9.0ms (0.3%)

simplify100.0ms (3.9%)

rewrite149.0ms (5.7%)

eval24.0ms (0.9%)

prune11.0ms (0.4%)

regimes19.0ms (0.8%)

regimes17.0ms (0.6%)

regimes11.0ms (0.4%)

regimes5.0ms (0.2%)

regimes11.0ms (0.4%)

regimes7.0ms (0.3%)

bsearch25.0ms (1%)

bsearch1.0ms (0%)

bsearch29.0ms (1.1%)

bsearch28.0ms (1.1%)

simplify30.0ms (1.1%)

soundness641.0ms (24.7%)

preprocess53.0ms (2%)

end0.0ms (0%)

Profiling