Metrics for Data.Number.Erf:$cinvnormcdf from erf-2.0.0.0, B

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze138.0ms (0.6%)

Memory

-13.4MiB live, 24.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	5
68.8%	68.7%	31.2%	0.1%	0%	0%	0%	6
78.1%	78%	21.9%	0.1%	0%	0%	0%	7
82.8%	82.7%	17.2%	0.1%	0%	0%	0%	8
88.3%	88.2%	11.7%	0.1%	0%	0%	0%	9
91%	90.9%	9%	0.1%	0%	0%	0%	10
93.9%	93.9%	6%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample19.1s (76.6%)

Memory

40.9MiB live, 904.7MiB allocated

Samples

18.7s	8 254×	0	valid
0.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 9.5s

ival-mult: 9.0s (94.8% of total)

ival-div: 278.0ms (2.9% of total)

ival-sub: 163.0ms (1.7% of total)

ival-add: 37.0ms (0.4% of total)

exact: 8.0ms (0.1% of total)

ival-true: 6.0ms (0.1% of total)

ival-assert: 3.0ms (0% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain131.0ms (0.5%)

Memory

-23.7MiB live, 199.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
30	-	-	`(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))`
0	-	-	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 x y)`
0	-	-	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
0	-	-	`(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`y`
0	-	-	`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

33.0ms

512×

valid

Compiler

Compiled 95 to 31 computations (67.4% saved)

Precisions

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

ival-div: 9.0ms (48.6% of total)

ival-mult: 4.0ms (21.6% of total)

ival-sub: 2.0ms (10.8% of total)

ival-add: 2.0ms (10.8% of total)

exact: 1.0ms (5.4% of total)

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

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

preprocess66.0ms (0.3%)

Memory

1.1MiB live, 77.1MiB allocated

Algorithm

1×	egg-herbie

Rules

192×	`lower-fma.f64`
192×	`lower-fma.f32`
136×	`lower-*.f32`
135×	`lower-*.f64`
112×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	63
1	57	61
2	121	57
3	253	55
4	541	55
5	888	55
6	995	55
7	1019	55
8	1029	55
9	1033	55
0	9	11
0	14	11
1	22	11
2	33	11
3	48	11
4	90	11
5	163	11
6	284	11
7	379	11
8	589	11
9	679	11
10	801	11
11	837	11
12	1000	11
13	1009	11
0	1009	10

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify34.0ms (0.1%)

Memory

-2.9MiB live, 36.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

192×	`lower-fma.f64`
192×	`lower-fma.f32`
136×	`lower-*.f32`
135×	`lower-*.f64`
112×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	39
0	14	39
1	22	39
2	33	39
3	48	39
4	90	39
5	163	39
6	284	39
7	379	39
8	589	39
9	679	39
10	801	39
11	837	39
12	1000	39
13	1009	39
0	1009	36

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize28.0ms (0.1%)

Memory

-12.1MiB live, 65.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
accuracy	0	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
accuracy	0	(*.f64 x y)
accuracy	7.135555838386913	(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))

Samples

18.0ms

256×

valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 3.0ms (33.2% of total)

ival-mult: 2.0ms (22.1% of total)

ival-sub: 1.0ms (11.1% of total)

ival-add: 1.0ms (11.1% of total)

exact: 1.0ms (11.1% of total)

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

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

series11.0ms (0%)

Memory

26.2MiB live, 26.2MiB allocated

Counts

5 → 120

Calls

Call 1

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

Outputs
#s(alt (* 1/2 (* x y)) (taylor 0 x) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 x) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 x) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 x) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (* x y))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (* x y))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (* x y))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 y) (/ 1 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 y) (/ 1 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 y) (/ 1 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 y) (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 y) (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 y) (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (* x y))) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (* x y))) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (* x y))) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 1/2 x) (/ 1 y))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 1/2 x) (/ 1 y))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 1/2 x) (/ 1 y))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1/2 x) (/ 1 y)))) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1/2 x) (/ 1 y)))) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1/2 x) (/ 1 y)))) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 x) (#s(alt (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))))) (patch (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))))) (patch (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))))) (patch (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) (taylor -inf y) (#s(alt (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))))) (patch (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) (taylor -inf y) (#s(alt (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))))) (patch (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) (patch (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt y (taylor 0 x) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) (patch (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (/ (- 2 (* 4 (/ 1 (* x y)))) x) (taylor inf x) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) (patch (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x) (taylor inf x) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) (patch (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x) (taylor inf x) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) (patch (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) (patch (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())

Calls

30 calls:

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

simplify180.0ms (0.7%)

Memory

9.0MiB live, 242.3MiB allocated

Algorithm

1×	egg-herbie

Rules

6 779×	`lower-fma.f64`
6 779×	`lower-fma.f32`
2 465×	`lower-*.f64`
2 465×	`lower-*.f32`
927×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	231	1053
1	738	1018
2	1942	987
3	6081	981
0	8428	934

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 115

Calls

Call 1

Inputs
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
1
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(* 1/2 (* x y))
(* x (+ (* 1/2 y) (/ 1 x)))
(* x (+ (* 1/2 y) (/ 1 x)))
(* x (+ (* 1/2 y) (/ 1 x)))
(* 1/2 (* x y))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
1
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(* 1/2 (* x y))
(* y (+ (* 1/2 x) (/ 1 y)))
(* y (+ (* 1/2 x) (/ 1 y)))
(* y (+ (* 1/2 x) (/ 1 y)))
(* 1/2 (* x y))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
y
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/ 2 x)
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)

Outputs
(* 1/2 (* x y))
(.f64 (.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(.f64 (.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(.f64 (.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(.f64 (.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(.f64 (.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(.f64 (.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(.f64 (.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(.f64 (.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(.f64 (.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(.f64 (.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(.f64 (.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(.f64 (.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(.f64 (.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(.f64 (.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(.f64 (.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(.f64 (.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(.f64 (.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(.f64 (.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(.f64 (.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(.f64 (.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(.f64 (.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(.f64 (.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(.f64 (.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(.f64 (.f64 y #s(literal 1/2 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x y)))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(+ 1 (* 1/2 (* x y)))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(+ 1 (* 1/2 (* x y)))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(* 1/2 (* x y))
(.f64 (.f64 y #s(literal 1/2 binary64)) x)
(* x (+ (* 1/2 y) (/ 1 x)))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(* x (+ (* 1/2 y) (/ 1 x)))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(* x (+ (* 1/2 y) (/ 1 x)))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(* 1/2 (* x y))
(.f64 (.f64 y #s(literal 1/2 binary64)) x)
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x y)))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(+ 1 (* 1/2 (* x y)))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(+ 1 (* 1/2 (* x y)))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(* 1/2 (* x y))
(.f64 (.f64 y #s(literal 1/2 binary64)) x)
(* y (+ (* 1/2 x) (/ 1 y)))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(* y (+ (* 1/2 x) (/ 1 y)))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(* y (+ (* 1/2 x) (/ 1 y)))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(* 1/2 (* x y))
(.f64 (.f64 y #s(literal 1/2 binary64)) x)
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(* -1 y)
(neg.f64 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(fma.f64 (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) y x)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) x (neg.f64 y))
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64)) (.f64 x x) (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 y))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x)
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) y) x)) (/.f64 #s(literal 2 binary64) (.f64 x x))) x x)
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x (/.f64 (-.f64 (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal -4 binary64) y)) (.f64 x x)))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x)
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) y) x)) (/.f64 #s(literal 2 binary64) (.f64 x x))) x x)
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x (/.f64 (-.f64 (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal -4 binary64) y)) (.f64 x x)))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) y x)
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) x (neg.f64 y))
(- x (* 2 (/ 1 x)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x) x)
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(-.f64 x (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x x) y) y)) (+.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal 2 binary64))) x))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(+.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) y) (.f64 y y))) (-.f64 x (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x x) y) y)) (+.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal 2 binary64))) x)))
(- x (* 2 (/ 1 x)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x) x)
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 x (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x x) y) y)) (+.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal 2 binary64))) x))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) y) (.f64 y y))) (-.f64 x (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x x) y) y)) (+.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal 2 binary64))) x)))
y
(* y (+ 1 (* -1/2 (* x y))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(fma.f64 (.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y)
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) y) (.f64 x x)) x (.f64 (.f64 #s(literal 1/4 binary64) x) x)) y (*.f64 #s(literal -1/2 binary64) x)) y #s(literal 1 binary64)) y)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x x) y) y)) (+.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal 2 binary64))) x)
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x x) y) y)) (+.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal 2 binary64))) x) (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) y) (.f64 y y))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x x) y) y)) (+.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal 2 binary64))) x)
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x x) y) y)) (+.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal 2 binary64))) x) (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) y) (.f64 y y))))
y
(+ y (* -1/2 (* x (pow y 2))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)) y)
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(fma.f64 (.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y)
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (.f64 x (.f64 #s(literal -1/8 binary64) x)) (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64)))) x y)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x x) y) y)) (+.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal 2 binary64))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/.f64 (-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -16 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) x) x))) (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x x) y) y))) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x x) y) y)) (+.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal 2 binary64))) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 (.f64 y y) y) x) x)) (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)))) x) #s(literal -2 binary64)) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)

rewrite228.0ms (0.9%)

Memory

-32.7MiB live, 288.9MiB allocated

Rules

2 877×	`lower-fma.f64`
2 877×	`lower-fma.f32`
2 062×	`lower-*.f32`
2 061×	`lower-*.f64`
1 481×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
0	14	35
1	63	35
2	500	35
3	6873	35
0	8527	32

Stop Event

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

Counts

5 → 279

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) x) y)
(.f64 (neg.f64 x) (.f64 y #s(literal -1/2 binary64)))
(*.f64 (neg.f64 x) (/.f64 y #s(literal -2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (neg.f64 y) x))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(.f64 (.f64 #s(literal 1/2 binary64) y) x)
(.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)) #s(literal -1 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 y x))
(*.f64 (neg.f64 y) (/.f64 x #s(literal -2 binary64)))
(.f64 (neg.f64 y) (.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 (neg.f64 y) x) #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y x)))
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(.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (.f64 (.f64 (.f64 y x) y) x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) #s(literal 1 binary64)))) (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) y) #s(literal -1/2 binary64)))
(.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 y x) y) x) #s(literal -1/4 binary64) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y))
(.f64 (/.f64 y (fma.f64 (.f64 (.f64 (.f64 y x) y) x) #s(literal -1/4 binary64) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 y (fma.f64 (.f64 (.f64 (.f64 y x) y) x) #s(literal -1/4 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))))
(.f64 (/.f64 y (fma.f64 (.f64 (.f64 (.f64 y x) y) x) #s(literal -1/4 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
(.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) #s(literal 1 binary64))) (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (neg.f64 y))
(.f64 #s(literal -1 binary64) (/.f64 y (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) (/.f64 y (fma.f64 (.f64 (.f64 (*.f64 y x) y) x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal -1 binary64))) y)
(.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (*.f64 x x) x)) #s(literal 1 binary64))))
(.f64 (neg.f64 y) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
(.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
(.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal -1 binary64))))
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) y) #s(literal -1 binary64))
(/.f64 (.f64 (/.f64 y (fma.f64 (.f64 (.f64 (.f64 y x) y) x) #s(literal -1/4 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))))) (fma.f64 (.f64 y x) (fma.f64 #s(literal 1/4 binary64) (.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (/.f64 y (fma.f64 (.f64 (.f64 (.f64 y x) y) x) #s(literal -1/4 binary64) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 (.f64 y x) y) x) #s(literal -1/4 binary64) #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
(/.f64 (.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)))) (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (.f64 (.f64 (*.f64 y x) y) x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (*.f64 x x) x)) #s(literal 1 binary64)))
(/.f64 (/.f64 y (fma.f64 (.f64 (.f64 (.f64 y x) y) x) #s(literal -1/4 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64))))
(/.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) y))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) y))
(/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
(neg.f64 (.f64 (/.f64 y (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(neg.f64 (/.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))))
(fma.f64 (/.f64 y (fma.f64 (.f64 (.f64 (.f64 y x) y) x) #s(literal -1/4 binary64) #s(literal 1 binary64))) #s(literal 1 binary64) (.f64 (/.f64 y (fma.f64 (.f64 (.f64 (.f64 y x) y) x) #s(literal -1/4 binary64) #s(literal 1 binary64))) (.f64 #s(literal -1/2 binary64) (*.f64 y x))))
(fma.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) #s(literal 1 binary64))) (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) (.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (*.f64 x x) x)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) #s(literal 1 binary64))) #s(literal 1 binary64) (.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) #s(literal 1 binary64))) (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (*.f64 x x) x)) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (.f64 (.f64 (.f64 y x) y) x) #s(literal -1/4 binary64) #s(literal 1 binary64))) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 y x)) (/.f64 y (fma.f64 (.f64 (.f64 (*.f64 y x) y) x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) #s(literal 1 binary64))) (.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (*.f64 x x) x)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal -1 binary64))) (/.f64 y (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) y)) #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (.f64 (.f64 (.f64 y x) y) x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 y x)) (/.f64 y (fma.f64 (.f64 (.f64 (.f64 y x) y) x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
(+.f64 (.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) #s(literal 1 binary64)))) (.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) #s(literal 1 binary64)))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) #s(literal 1 binary64)))) (.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) #s(literal 1 binary64)))))
(+.f64 (.f64 (/.f64 y (fma.f64 (.f64 (.f64 (.f64 y x) y) x) #s(literal -1/4 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 y (fma.f64 (.f64 (.f64 (.f64 y x) y) x) #s(literal -1/4 binary64) #s(literal 1 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 y x))))
(+.f64 (.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) #s(literal 1 binary64))) (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)))) (.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) #s(literal 1 binary64))) (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)))))
(*.f64 (neg.f64 (neg.f64 x)) y)
(*.f64 (neg.f64 x) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) (neg.f64 x))
(.f64 #s(literal 1 binary64) (.f64 y x))
(.f64 (.f64 y x) #s(literal 1 binary64))
(*.f64 y (neg.f64 (neg.f64 x)))
(*.f64 y x)
(*.f64 x y)
(neg.f64 (*.f64 (neg.f64 y) x))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x))

eval67.0ms (0.3%)

Memory: 31.8MiB live, 108.8MiB allocated
Compiler: Compiled 11 052 to 1 055 computations (90.5% saved)

prune53.0ms (0.2%)

Memory

-20.7MiB live, 98.6MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	387	7	394
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	388	7	395

Accuracy

100.0%

Counts

395 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) y x)
▶	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
	99.9%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) y)))
▶	64.7%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
▶	63.4%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) y x))
▶	76.5%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
▶	22.4%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

Compiler

Compiled 140 to 88 computations (37.1% saved)

simplify86.0ms (0.3%)

Memory

14.7MiB live, 53.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

692×	`lower-fma.f32`
689×	`lower-fma.f64`
332×	`lower-*.f32`
330×	`lower-*.f64`
137×	`distribute-lft-neg-in`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	26	144
0	40	144
1	66	144
2	101	144
3	178	144
4	366	144
5	694	141
6	1078	139
7	1406	139
8	1590	139
9	1722	139
10	1809	139
11	1927	139
12	1944	139
13	1953	139
14	1960	139
15	1961	139
0	1961	139

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize71.0ms (0.3%)

Memory

-6.0MiB live, 108.9MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64))
accuracy	0	(*.f64 y #s(literal 1/2 binary64))
accuracy	0.04296875	(fma.f64 (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) y x)
accuracy	23.41228669696968	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) y x))
accuracy	0	(/.f64 #s(literal 2 binary64) x)
accuracy	0	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
accuracy	30.79340785189169	#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
accuracy	0	(-.f64 x y)
accuracy	15.067148621653297	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
accuracy	0	(neg.f64 y)
accuracy	49.69009218096158	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
accuracy	0	(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))
accuracy	0	(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
accuracy	0	(*.f64 y x)
accuracy	7.135555838386913	(/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))

Samples

48.0ms

256×

valid

Compiler

Compiled 127 to 26 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 12.0ms (39.4% of total)

ival-div: 7.0ms (23% of total)

ival-add: 7.0ms (23% of total)

ival-sub: 3.0ms (9.8% of total)

exact: 1.0ms (3.3% of total)

ival-neg: 1.0ms (3.3% of total)

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

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

series16.0ms (0.1%)

Memory

21.0MiB live, 21.0MiB allocated

Counts

15 → 324

Calls

Call 1

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

Outputs
#s(alt (* -1 y) (taylor 0 x) (#s(alt (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* 1/2 (pow y 2)))) y) (taylor 0 x) (#s(alt (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y) (taylor 0 x) (#s(alt (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y) (taylor 0 x) (#s(alt (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y)))))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* 1/2 (* x y)) 1))) (taylor 0 y) (#s(alt (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1))) (taylor 0 y) (#s(alt (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x (* 2 (/ 1 x))) (taylor inf y) (#s(alt (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) (taylor inf y) (#s(alt (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) (taylor inf y) (#s(alt (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) (taylor inf y) (#s(alt (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x (* 2 (/ 1 x))) (taylor -inf y) (#s(alt (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) (taylor -inf y) (#s(alt (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) (taylor -inf y) (#s(alt (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) (taylor -inf y) (#s(alt (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1/2 (* x y)))) (taylor 0 y) (#s(alt (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x))))) (taylor 0 y) (#s(alt (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x))))) (taylor 0 y) (#s(alt (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor inf y) (#s(alt (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) (taylor inf y) (#s(alt (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y))) (taylor inf y) (#s(alt (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (taylor inf y) (#s(alt (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor -inf y) (#s(alt (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) (taylor -inf y) (#s(alt (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x))) (taylor -inf y) (#s(alt (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) (taylor -inf y) (#s(alt (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1/2 (* x (pow y 2)))) (taylor 0 x) (#s(alt (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) (taylor 0 x) (#s(alt (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2))))) (taylor 0 x) (#s(alt (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) y x) (patch (fma.f64 (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) y x) (patch (fma.f64 (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) y x) (patch (fma.f64 (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 y) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x y)) 1) (taylor 0 y) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x y)) 1) (taylor 0 y) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x y)) 1) (taylor 0 y) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 1/2 x) (/ 1 y))) (taylor inf y) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 1/2 x) (/ 1 y))) (taylor inf y) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 1/2 x) (/ 1 y))) (taylor inf y) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/2 x) (/ 1 y)))) (taylor -inf y) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/2 x) (/ 1 y)))) (taylor -inf y) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/2 x) (/ 1 y)))) (taylor -inf y) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x y)) 1) (taylor 0 x) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x y)) 1) (taylor 0 x) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x y)) 1) (taylor 0 x) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/2 y) (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/2 y) (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/2 y) (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 y) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 y) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 y) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 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 (* 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 inf 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 inf 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 inf 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 inf 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 -inf 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 -inf 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 -inf 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 -inf y) (#s(alt (.f64 y #s(literal 1/2 binary64)) (patch (.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())

Calls

81 calls:

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

simplify230.0ms (0.9%)

Memory

-33.7MiB live, 245.9MiB allocated

Algorithm

1×	egg-herbie

Rules

6 428×	`lower-fma.f64`
6 428×	`lower-fma.f32`
2 277×	`lower-*.f64`
2 277×	`lower-*.f32`
1 264×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	278	3213
1	875	3109
2	2370	3007
3	7083	2993
0	8313	2814

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 301

Calls

Call 1

Inputs
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
y
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/ 2 x)
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
1
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(* 1/2 (* x y))
(* y (+ (* 1/2 x) (/ 1 y)))
(* y (+ (* 1/2 x) (/ 1 y)))
(* y (+ (* 1/2 x) (/ 1 y)))
(* 1/2 (* x y))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
1
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(* 1/2 (* x y))
(* x (+ (* 1/2 y) (/ 1 x)))
(* x (+ (* 1/2 y) (/ 1 x)))
(* x (+ (* 1/2 y) (/ 1 x)))
(* 1/2 (* x y))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
y
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/ 2 x)
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(* -1 y)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
-1
(- (* 1/2 (* x y)) 1)
(- (* 1/2 (* x y)) 1)
(- (* 1/2 (* x y)) 1)
(* 1/2 (* x y))
(* y (- (* 1/2 x) (/ 1 y)))
(* y (- (* 1/2 x) (/ 1 y)))
(* y (- (* 1/2 x) (/ 1 y)))
(* 1/2 (* x y))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
-1
(- (* 1/2 (* x y)) 1)
(- (* 1/2 (* x y)) 1)
(- (* 1/2 (* x y)) 1)
(* 1/2 (* x y))
(* x (- (* 1/2 y) (/ 1 x)))
(* x (- (* 1/2 y) (/ 1 x)))
(* x (- (* 1/2 y) (/ 1 x)))
(* 1/2 (* x y))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)

Outputs
(* -1 y)
(neg.f64 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) x (neg.f64 y))
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64)) (.f64 x x) (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 y))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x)
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x y) x) x)) (/.f64 #s(literal 2 binary64) (.f64 x x))) x x)
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 8 binary64) (.f64 (.f64 x y) y))) (.f64 (.f64 x x) x)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x x)
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x)
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x y) x) x)) (/.f64 #s(literal 2 binary64) (.f64 x x))) x x)
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 8 binary64) (.f64 (.f64 x y) y))) (.f64 x x)))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) x (neg.f64 y))
(- x (* 2 (/ 1 x)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x y)) #s(literal 2 binary64)) x) x)
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(-.f64 x (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x y) x) y)) (/.f64 #s(literal 4 binary64) (.f64 x y))) #s(literal -2 binary64)) x))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x y) x) y)) (/.f64 #s(literal 4 binary64) (.f64 x y)))) x) (+.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) y) (.f64 y y))) x))
(- x (* 2 (/ 1 x)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x y)) #s(literal 2 binary64)) x) x)
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 x (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x y) x) y)) (/.f64 #s(literal 4 binary64) (.f64 x y))) #s(literal -2 binary64)) x))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 x (-.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x y) x) y)) (/.f64 #s(literal 4 binary64) (.f64 x y))) #s(literal -2 binary64)) x) (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) y) (.f64 y y)))))
y
(* y (+ 1 (* -1/2 (* x y))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) x #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(fma.f64 (.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y)
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) y) (.f64 x x)) x (.f64 (.f64 #s(literal 1/4 binary64) x) x)) y (*.f64 #s(literal -1/2 binary64) x)) y #s(literal 1 binary64)) y)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 x y)) #s(literal -2 binary64)) x)
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x y) x) y)) (/.f64 #s(literal 4 binary64) (.f64 x y))) #s(literal -2 binary64)) x)
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(-.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x y) x) y)) (/.f64 #s(literal 4 binary64) (.f64 x y))) #s(literal -2 binary64)) x) (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) y) (.f64 y y))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 x y)) #s(literal -2 binary64)) x)
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x y) x) y)) (/.f64 #s(literal 4 binary64) (.f64 x y))) #s(literal -2 binary64)) x)
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(-.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x y) x) y)) (/.f64 #s(literal 4 binary64) (.f64 x y))) #s(literal -2 binary64)) x) (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) y) (.f64 y y))))
y
(+ y (* -1/2 (* x (pow y 2))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) x #s(literal 1 binary64)) y)
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(fma.f64 (.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y)
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (.f64 x (.f64 #s(literal -1/8 binary64) x)) (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64)))) x y)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 x y)) #s(literal -2 binary64)) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x y) x) y)) (/.f64 #s(literal 4 binary64) (.f64 x y))) #s(literal -2 binary64)) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x y) x) y)) (/.f64 #s(literal -16 binary64) (.f64 (.f64 (.f64 (.f64 x y) x) y) (.f64 x y)))) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x y)) #s(literal 2 binary64))) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 x y)) #s(literal -2 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x y) x) y)) (/.f64 #s(literal 4 binary64) (.f64 x y))) #s(literal -2 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 x y)) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 y y) y) x)) (/.f64 #s(literal 8 binary64) (.f64 y y))) (.f64 x x))) #s(literal -2 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))
(+ 1 (* 1/2 (* x y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))
(+ 1 (* 1/2 (* x y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))
(* 1/2 (* x y))
(.f64 (.f64 #s(literal 1/2 binary64) y) x)
(* y (+ (* 1/2 x) (/ 1 y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))
(* y (+ (* 1/2 x) (/ 1 y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))
(* y (+ (* 1/2 x) (/ 1 y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))
(* 1/2 (* x y))
(.f64 (.f64 #s(literal 1/2 binary64) y) x)
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))
(+ 1 (* 1/2 (* x y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))
(+ 1 (* 1/2 (* x y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))
(* 1/2 (* x y))
(.f64 (.f64 #s(literal 1/2 binary64) y) x)
(* x (+ (* 1/2 y) (/ 1 x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))
(* x (+ (* 1/2 y) (/ 1 x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))
(* x (+ (* 1/2 y) (/ 1 x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))
(* 1/2 (* x y))
(.f64 (.f64 #s(literal 1/2 binary64) y) x)
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* -1 y)
(neg.f64 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) x (neg.f64 y))
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64)) (.f64 x x) (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 y))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x)
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x y) x) x)) (/.f64 #s(literal 2 binary64) (.f64 x x))) x x)
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 8 binary64) (.f64 (.f64 x y) y))) (.f64 (.f64 x x) x)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x x)
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x)
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x y) x) x)) (/.f64 #s(literal 2 binary64) (.f64 x x))) x x)
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 8 binary64) (.f64 (.f64 x y) y))) (.f64 x x)))
x
(+ x (* -1 y))
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(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x)
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(fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x y) x) x)) (/.f64 #s(literal 2 binary64) (.f64 x x))) x x)
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 8 binary64) (.f64 (.f64 x y) y))) (.f64 x x)))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) x (neg.f64 y))
(- x (* 2 (/ 1 x)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x y)) #s(literal 2 binary64)) x) x)
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(-.f64 x (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x y) x) y)) (/.f64 #s(literal 4 binary64) (.f64 x y))) #s(literal -2 binary64)) x))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x y) x) y)) (/.f64 #s(literal 4 binary64) (.f64 x y)))) x) (+.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) y) (.f64 y y))) x))
(- x (* 2 (/ 1 x)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x y)) #s(literal 2 binary64)) x) x)
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 x (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x y) x) y)) (/.f64 #s(literal 4 binary64) (.f64 x y))) #s(literal -2 binary64)) x))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 x (-.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x y) x) y)) (/.f64 #s(literal 4 binary64) (.f64 x y))) #s(literal -2 binary64)) x) (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) y) (.f64 y y)))))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
(* 1/2 (* x (pow y 2)))
(.f64 (.f64 (*.f64 x y) y) #s(literal 1/2 binary64))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
(* 1/2 (* x (pow y 2)))
(.f64 (.f64 (*.f64 x y) y) #s(literal 1/2 binary64))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
(* -1 y)
(neg.f64 y)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
(* x (+ 1 (* 1/2 (pow y 2))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64)) x)
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64)) x)
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
-1
#s(literal -1 binary64)
(- (* 1/2 (* x y)) 1)
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(- (* 1/2 (* x y)) 1)
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(- (* 1/2 (* x y)) 1)
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(* 1/2 (* x y))
(.f64 (.f64 #s(literal 1/2 binary64) y) x)
(* y (- (* 1/2 x) (/ 1 y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(* y (- (* 1/2 x) (/ 1 y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(* y (- (* 1/2 x) (/ 1 y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(* 1/2 (* x y))
(.f64 (.f64 #s(literal 1/2 binary64) y) x)
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* 1/2 (* x y)) 1)
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(- (* 1/2 (* x y)) 1)
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(- (* 1/2 (* x y)) 1)
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(* 1/2 (* x y))
(.f64 (.f64 #s(literal 1/2 binary64) y) x)
(* x (- (* 1/2 y) (/ 1 x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(* x (- (* 1/2 y) (/ 1 x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(* x (- (* 1/2 y) (/ 1 x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(* 1/2 (* x y))
(.f64 (.f64 #s(literal 1/2 binary64) y) x)
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)

rewrite209.0ms (0.8%)

Memory

50.5MiB live, 270.9MiB allocated

Rules

2 403×	`lower-/.f32`
2 401×	`lower-/.f64`
2 283×	`lower-fma.f32`
2 280×	`lower-fma.f64`
2 143×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	131
0	40	126
1	187	126
2	1259	126
0	8240	126

Stop Event

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

Counts

15 → 324

Calls

Call 1

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

Outputs
(.f64 (-.f64 (.f64 x x) (/.f64 (.f64 y y) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)))
(.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 y y) (neg.f64 y)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (.f64 y y) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)) (/.f64 (.f64 x x) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)) (fma.f64 (/.f64 (/.f64 (.f64 y y) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)) (/.f64 (/.f64 (.f64 y y) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)) (.f64 (/.f64 (.f64 x x) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)) (/.f64 (/.f64 (.f64 y y) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x))) (fma.f64 (/.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x))) (/.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x))) (.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x))) (/.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (*.f64 x x)))))))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 y y) (neg.f64 y)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) (.f64 (.f64 x x) x)) (+.f64 (/.f64 (.f64 y y) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) (-.f64 (.f64 x x) (.f64 (/.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 x x) (/.f64 (.f64 y y) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))))) (neg.f64 (neg.f64 (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 y y)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) y) x)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 y y)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 y y)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 y y))) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 y y))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 y y)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 y y))))) (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) y) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 y y)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 y y))) (.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) y) x))))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 y y)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) y) x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 y y)))) (-.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 y y)) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 y y))) (.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) y) x)))))
(/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x) #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 y y)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) y) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 y y)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) y) x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 y y))) (.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) y) x)))) (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))))
(fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 y x)) #s(literal 1/2 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64))
(fma.f64 (*.f64 (neg.f64 x) y) #s(literal -1/2 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
(fma.f64 y (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 y (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(fma.f64 x (.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))
(expm1.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 y x))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x)) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 y y)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 y y)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) y) x))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 y y))) (-.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) y) x))))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 y y))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
(-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) y) x))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) y)))
(/.f64 (neg.f64 y) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(/.f64 y #s(literal 2 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal -2 binary64)))

eval75.0ms (0.3%)

Memory: 3.5MiB live, 160.5MiB allocated
Compiler: Compiled 13 223 to 1 126 computations (91.5% saved)

prune112.0ms (0.4%)

Memory

-2.0MiB live, 168.1MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	624	1	625
Fresh	0	2	2
Picked	1	4	5
Done	0	0	0
Total	625	7	632

Accuracy

100.0%

Counts

632 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) y x)
✓	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
▶	99.9%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) y)))
✓	64.7%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
✓	76.5%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
✓	22.4%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
▶	23.2%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)))

Compiler

Compiled 70 to 44 computations (37.1% saved)

simplify398.0ms (1.6%)

Memory

-18.9MiB live, 171.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
cost-diff	192	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) y x)
cost-diff	0	(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
cost-diff	0	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) y)))
cost-diff	320	(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) y)
cost-diff	384	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) y))
cost-diff	0	(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)
cost-diff	0	#s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))
cost-diff	0	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)))

Rules

2 888×	`lower-fma.f32`
2 885×	`lower-fma.f64`
1 328×	`lower-*.f32`
1 325×	`lower-*.f64`
661×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	149
0	41	148
1	71	148
2	108	142
3	181	141
4	356	141
5	612	141
6	1189	140
7	2035	140
8	3090	140
9	4132	140
10	4816	140
11	5219	140
12	5351	140
13	5373	140
14	6249	140
15	6598	140
16	6767	140
17	6833	140
18	6887	140
19	6903	140
20	7437	140
21	7775	140
22	7933	140
0	8014	137

Stop Event

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

Calls

Call 1

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

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

localize104.0ms (0.4%)

Memory

7.6MiB live, 129.3MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.05078125	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) y x)
accuracy	0.5612359938980236	(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
accuracy	0	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) y)))
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.09375	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) y))
accuracy	7.090369967107095	(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) y)
accuracy	0	(*.f64 #s(literal 1/2 binary64) y)
accuracy	0.0703125	(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)
accuracy	23.41228669696968	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)))
accuracy	26.436621965058436	#s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))

Samples

76.0ms

256×

valid

Compiler

Compiled 131 to 31 computations (76.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 36.0ms (62.2% of total)

ival-div: 13.0ms (22.5% of total)

ival-add: 6.0ms (10.4% of total)

ival-sub: 2.0ms (3.5% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB allocated

Counts

12 → 264

Calls

Call 1

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

Outputs
#s(alt (* -1 y) (taylor 0 x) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* 1/2 (pow y 2)))) y) (taylor 0 x) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y) (taylor 0 x) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y) (taylor 0 x) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y)))))) (taylor -inf x) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* 1/2 (* x y)) 1))) (taylor 0 y) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1))) (taylor 0 y) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (- x (* 2 (/ 1 x))) (taylor inf y) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) (taylor inf y) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) (taylor inf y) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) (taylor inf y) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (- x (* 2 (/ 1 x))) (taylor -inf y) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) (taylor -inf y) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) (taylor -inf y) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) (taylor -inf y) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)) (patch #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)) (patch #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* 1/2 (* x y)) 1))) (taylor 0 y) (#s(alt #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)) (patch #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* 1/2 (* x y)) 1))) (taylor 0 y) (#s(alt #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)) (patch #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x (pow y 2))) (taylor inf y) (#s(alt #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)) (patch #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* 1/2 x) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)) (patch #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)) (patch #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)) (patch #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x (pow y 2))) (taylor -inf y) (#s(alt #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)) (patch #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)) #<representation binary64>) () ())) ())
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#s(alt (- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) y x) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) y x) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x y)) 1) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* -1/4 (* x (pow y 2))) (* -1/2 y))) 1) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* x (- (* 1/8 (* x (pow y 3))) (* 1/4 (pow y 2)))) (* -1/2 y))) 1) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -2 (* x y)) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 4 (/ 1 (* x (pow y 2)))) (* 2 (/ 1 y))) x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 4 (* x (pow y 2))) (+ (* 2 (/ 1 y)) (/ 8 (* (pow x 2) (pow y 3))))) x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* 16 (/ 1 (* (pow x 3) (pow y 4)))) (/ 4 (* x (pow y 2)))) (+ (* 2 (/ 1 y)) (* 8 (/ 1 (* (pow x 2) (pow y 3)))))) x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -2 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 2 (/ 1 y)) (* 4 (/ 1 (* x (pow y 2))))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow y 2))) (* 8 (/ 1 (* x (pow y 3))))) x)) (* 2 (/ 1 y))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow y 3))) (* 16 (/ 1 (* x (pow y 4))))) x)) (* 4 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 y))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x y)) 1) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* y (- (* y (- (* 1/8 (* (pow x 3) y)) (* 1/4 (pow x 2)))) (* -1/2 x))) 1) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -2 (* x y)) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 4 (/ 1 (* (pow x 2) y))) (* 2 (/ 1 x))) y) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 4 (* (pow x 2) y)) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) y) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) y) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -2 (* x y)) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x))) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 y) (#s(alt (.f64 #s(literal 1/2 binary64) y) (patch (.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 y) (#s(alt (.f64 #s(literal 1/2 binary64) y) (patch (.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 y) (#s(alt (.f64 #s(literal 1/2 binary64) y) (patch (.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 y) (#s(alt (.f64 #s(literal 1/2 binary64) y) (patch (.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor inf y) (#s(alt (.f64 #s(literal 1/2 binary64) y) (patch (.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor inf y) (#s(alt (.f64 #s(literal 1/2 binary64) y) (patch (.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor inf y) (#s(alt (.f64 #s(literal 1/2 binary64) y) (patch (.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor inf y) (#s(alt (.f64 #s(literal 1/2 binary64) y) (patch (.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt (.f64 #s(literal 1/2 binary64) y) (patch (.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt (.f64 #s(literal 1/2 binary64) y) (patch (.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt (.f64 #s(literal 1/2 binary64) y) (patch (.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt (.f64 #s(literal 1/2 binary64) y) (patch (.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())

Calls

66 calls:

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

simplify238.0ms (1%)

Memory

-31.5MiB live, 274.9MiB allocated

Algorithm

1×	egg-herbie

Rules

5 231×	`lower-fma.f64`
5 231×	`lower-fma.f32`
1 843×	`lower-/.f32`
1 843×	`lower-/.f64`
1 837×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	355	2782
1	1128	2697
2	2981	2598
3	7714	2592
0	8974	2415

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 252

Calls

Call 1

Inputs
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(* -1 y)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(* -1 y)
(* y (- (* 1/2 (* x y)) 1))
(* y (- (* 1/2 (* x y)) 1))
(* y (- (* 1/2 (* x y)) 1))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* -1 y)
(+ (* -1 y) (* 1/2 (* x (pow y 2))))
(+ (* -1 y) (* 1/2 (* x (pow y 2))))
(+ (* -1 y) (* 1/2 (* x (pow y 2))))
(* 1/2 (* x (pow y 2)))
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))
(* 1/2 (* x (pow y 2)))
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))
-1
(- (* 1/2 (* x y)) 1)
(- (* 1/2 (* x y)) 1)
(- (* 1/2 (* x y)) 1)
(* 1/2 (* x y))
(* y (- (* 1/2 x) (/ 1 y)))
(* y (- (* 1/2 x) (/ 1 y)))
(* y (- (* 1/2 x) (/ 1 y)))
(* 1/2 (* x y))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
-1
(- (* 1/2 (* x y)) 1)
(- (* 1/2 (* x y)) 1)
(- (* 1/2 (* x y)) 1)
(* 1/2 (* x y))
(* x (- (* 1/2 y) (/ 1 x)))
(* x (- (* 1/2 y) (/ 1 x)))
(* x (- (* 1/2 y) (/ 1 x)))
(* 1/2 (* x y))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/ 2 x)
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
y
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(/ 1 y)
(+ (* 1/2 x) (/ 1 y))
(+ (* 1/2 x) (/ 1 y))
(+ (* 1/2 x) (/ 1 y))
(* 1/2 x)
(* x (+ 1/2 (/ 1 (* x y))))
(* x (+ 1/2 (/ 1 (* x y))))
(* x (+ 1/2 (/ 1 (* x y))))
(* 1/2 x)
(* x (+ 1/2 (/ 1 (* x y))))
(* x (+ 1/2 (/ 1 (* x y))))
(* x (+ 1/2 (/ 1 (* x y))))
(/ 1 y)
(/ (+ 1 (* 1/2 (* x y))) y)
(/ (+ 1 (* 1/2 (* x y))) y)
(/ (+ 1 (* 1/2 (* x y))) y)
(* 1/2 x)
(+ (* 1/2 x) (/ 1 y))
(+ (* 1/2 x) (/ 1 y))
(+ (* 1/2 x) (/ 1 y))
(* 1/2 x)
(+ (* 1/2 x) (/ 1 y))
(+ (* 1/2 x) (/ 1 y))
(+ (* 1/2 x) (/ 1 y))
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
1
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(* 1/2 (* x y))
(* x (+ (* 1/2 y) (/ 1 x)))
(* x (+ (* 1/2 y) (/ 1 x)))
(* x (+ (* 1/2 y) (/ 1 x)))
(* 1/2 (* x y))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
1
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(* 1/2 (* x y))
(* y (+ (* 1/2 x) (/ 1 y)))
(* y (+ (* 1/2 x) (/ 1 y)))
(* y (+ (* 1/2 x) (/ 1 y)))
(* 1/2 (* x y))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 y)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(+ (* -1 y) (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))))
(+ (* -1 y) (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
-1
(- (* 1/2 (* x y)) 1)
(- (* x (- (* -1/4 (* x (pow y 2))) (* -1/2 y))) 1)
(- (* x (- (* x (- (* 1/8 (* x (pow y 3))) (* 1/4 (pow y 2)))) (* -1/2 y))) 1)
(/ -2 (* x y))
(/ (- (* 4 (/ 1 (* x (pow y 2)))) (* 2 (/ 1 y))) x)
(/ (- (/ 4 (* x (pow y 2))) (+ (* 2 (/ 1 y)) (/ 8 (* (pow x 2) (pow y 3))))) x)
(/ (- (+ (* 16 (/ 1 (* (pow x 3) (pow y 4)))) (/ 4 (* x (pow y 2)))) (+ (* 2 (/ 1 y)) (* 8 (/ 1 (* (pow x 2) (pow y 3)))))) x)
(/ -2 (* x y))
(* -1 (/ (- (* 2 (/ 1 y)) (* 4 (/ 1 (* x (pow y 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow y 2))) (* 8 (/ 1 (* x (pow y 3))))) x)) (* 2 (/ 1 y))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow y 3))) (* 16 (/ 1 (* x (pow y 4))))) x)) (* 4 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 y))) x))
-1
(- (* 1/2 (* x y)) 1)
(- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)
(- (* y (- (* y (- (* 1/8 (* (pow x 3) y)) (* 1/4 (pow x 2)))) (* -1/2 x))) 1)
(/ -2 (* x y))
(/ (- (* 4 (/ 1 (* (pow x 2) y))) (* 2 (/ 1 x))) y)
(/ (- (/ 4 (* (pow x 2) y)) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) y)
(/ (- (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) y)
(/ -2 (* x y))
(* -1 (/ (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) y))
(* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) y))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)

Outputs
(* -1 y)
(neg.f64 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) x (neg.f64 y))
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(fma.f64 (fma.f64 (.f64 x (.f64 #s(literal 1/8 binary64) x)) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 y))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x)
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x y) x) x)) (/.f64 #s(literal 2 binary64) (.f64 x x))) x x)
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 8 binary64) (.f64 (.f64 x y) y))) (.f64 (.f64 x x) x)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x x)
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x)
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x y) x) x)) (/.f64 #s(literal 2 binary64) (.f64 x x))) x x)
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(.f64 (neg.f64 x) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 8 binary64) (.f64 (.f64 x y) y))) (.f64 (.f64 x x) x))))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) y (*.f64 #s(literal 1/2 binary64) x)) y #s(literal -1 binary64)) y x)
(- x (* 2 (/ 1 x)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x y)) #s(literal 2 binary64)) x) x)
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(-.f64 x (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x y) x) y)) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x y)) #s(literal 2 binary64))) x))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(-.f64 x (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x y) x) y)) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x y)) #s(literal 2 binary64))) x) (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) y) (.f64 y y)))))
(- x (* 2 (/ 1 x)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x y)) #s(literal 2 binary64)) x) x)
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 x (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x y) x) y)) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x y)) #s(literal 2 binary64))) x))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 x (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x y) x) y)) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x y)) #s(literal 2 binary64))) x) (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) y) (.f64 y y)))))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
(* 1/2 (* x (pow y 2)))
(.f64 (.f64 (*.f64 x y) y) #s(literal 1/2 binary64))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(.f64 y (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 x (.f64 y y))) y #s(literal -1 binary64)))
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(.f64 y (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 x (.f64 y y))) y #s(literal -1 binary64)))
(* 1/2 (* x (pow y 2)))
(.f64 (.f64 (*.f64 x y) y) #s(literal 1/2 binary64))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(.f64 (.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))) y) y)
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(.f64 (.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))) y) y)
(* -1 y)
(neg.f64 y)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
(* x (+ 1 (* 1/2 (pow y 2))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64)) x)
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64)) x)
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
(* -1 y)
(neg.f64 y)
(* y (- (* 1/2 (* x y)) 1))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)
(* y (- (* 1/2 (* x y)) 1))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)
(* y (- (* 1/2 (* x y)) 1))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)
(* 1/2 (* x (pow y 2)))
(.f64 (.f64 (*.f64 x y) y) #s(literal 1/2 binary64))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)
(* 1/2 (* x (pow y 2)))
(.f64 (.f64 (*.f64 x y) y) #s(literal 1/2 binary64))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)
(* -1 y)
(neg.f64 y)
(+ (* -1 y) (* 1/2 (* x (pow y 2))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)
(+ (* -1 y) (* 1/2 (* x (pow y 2))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)
(+ (* -1 y) (* 1/2 (* x (pow y 2))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)
(* 1/2 (* x (pow y 2)))
(.f64 (.f64 (*.f64 x y) y) #s(literal 1/2 binary64))
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)
(* 1/2 (* x (pow y 2)))
(.f64 (.f64 (*.f64 x y) y) #s(literal 1/2 binary64))
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)
-1
#s(literal -1 binary64)
(- (* 1/2 (* x y)) 1)
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(- (* 1/2 (* x y)) 1)
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(- (* 1/2 (* x y)) 1)
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(* 1/2 (* x y))
(.f64 (.f64 #s(literal 1/2 binary64) y) x)
(* y (- (* 1/2 x) (/ 1 y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(* y (- (* 1/2 x) (/ 1 y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(* y (- (* 1/2 x) (/ 1 y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(* 1/2 (* x y))
(.f64 (.f64 #s(literal 1/2 binary64) y) x)
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* 1/2 (* x y)) 1)
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(- (* 1/2 (* x y)) 1)
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(- (* 1/2 (* x y)) 1)
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(- (* 1/2 (* x y)) 1)
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(- (* x (- (* -1/4 (* x (pow y 2))) (* -1/2 y))) 1)
(fma.f64 (.f64 y (fma.f64 (.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64))) x #s(literal -1 binary64))
(- (* x (- (* x (- (* 1/8 (* x (pow y 3))) (* 1/4 (pow y 2)))) (* -1/2 y))) 1)
(fma.f64 (fma.f64 (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/8 binary64) x) y #s(literal -1/4 binary64))) x (.f64 #s(literal 1/2 binary64) y)) x #s(literal -1 binary64))
(/ -2 (* x y))
(/.f64 #s(literal -2 binary64) (*.f64 x y))
(/ (- (* 4 (/ 1 (* x (pow y 2)))) (* 2 (/ 1 y))) x)
(/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x y)) #s(literal 2 binary64)) (.f64 x y))
(/ (- (/ 4 (* x (pow y 2))) (+ (* 2 (/ 1 y)) (/ 8 (* (pow x 2) (pow y 3))))) x)
(/.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x y)) (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x y) x) y))) #s(literal 2 binary64)) x) y)
(/ (- (+ (* 16 (/ 1 (* (pow x 3) (pow y 4)))) (/ 4 (* x (pow y 2)))) (+ (* 2 (/ 1 y)) (* 8 (/ 1 (* (pow x 2) (pow y 3)))))) x)
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) x) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 (.f64 x y) y))) (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 (*.f64 x y) x) y) y))) (/.f64 #s(literal 2 binary64) y)) x)
(/ -2 (* x y))
(/.f64 #s(literal -2 binary64) (*.f64 x y))
(* -1 (/ (- (* 2 (/ 1 y)) (* 4 (/ 1 (* x (pow y 2))))) x))
(/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x y)) #s(literal 2 binary64)) (.f64 x y))
(* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow y 2))) (* 8 (/ 1 (* x (pow y 3))))) x)) (* 2 (/ 1 y))) x))
(/.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x y)) (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x y) x) y))) #s(literal 2 binary64)) x) y)
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow y 3))) (* 16 (/ 1 (* x (pow y 4))))) x)) (* 4 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 y))) x))
(/.f64 (-.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (neg.f64 (-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 y y)) (/.f64 #s(literal 8 binary64) (.f64 (.f64 x y) (.f64 y y)))) (/.f64 #s(literal -16 binary64) (.f64 x (.f64 (pow.f64 y #s(literal 4 binary64)) x))))) x)) x)
-1
#s(literal -1 binary64)
(- (* 1/2 (* x y)) 1)
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)
(fma.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) y (*.f64 #s(literal 1/2 binary64) x)) y #s(literal -1 binary64))
(- (* y (- (* y (- (* 1/8 (* (pow x 3) y)) (* 1/4 (pow x 2)))) (* -1/2 x))) 1)
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x)) x) y (.f64 (.f64 x x) #s(literal -1/4 binary64))) y (.f64 #s(literal 1/2 binary64) x)) y #s(literal -1 binary64))
(/ -2 (* x y))
(/.f64 #s(literal -2 binary64) (*.f64 x y))
(/ (- (* 4 (/ 1 (* (pow x 2) y))) (* 2 (/ 1 x))) y)
(/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x y)) #s(literal 2 binary64)) (.f64 x y))
(/ (- (/ 4 (* (pow x 2) y)) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) y)
(/.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x y)) (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x y) x) y))) #s(literal 2 binary64)) x) y)
(/ (- (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) y)
(/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x y)) (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x y) x) y))) #s(literal 2 binary64)) x) (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) y) (.f64 y y)))) y)
(/ -2 (* x y))
(/.f64 #s(literal -2 binary64) (*.f64 x y))
(* -1 (/ (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) y))
(/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x y)) #s(literal 2 binary64)) (.f64 x y))
(* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x))) y))
(/.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x y)) (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x y) x) y))) #s(literal 2 binary64)) x) y)
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) y))
(/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x y)) (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x y) x) y))) #s(literal 2 binary64)) x) (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) y) (.f64 y y)))) y)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)

rewrite295.0ms (1.2%)

Memory

-13.4MiB live, 291.0MiB allocated

Rules

3 230×	`lower-fma.f32`
3 227×	`lower-fma.f64`
2 461×	`lower-*.f32`
2 458×	`lower-*.f64`
2 210×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	127
0	41	126
1	199	119
2	1526	119
0	8184	117

Stop Event

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

Counts

12 → 421

Calls

Call 1

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

Outputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) y)))
#s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) y))
(.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)) #s(literal -1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)))))
(.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x))))) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) y)))))
(.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y) #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y) #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) y)))))
(.f64 (/.f64 y (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)) #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)))))
(.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) y)))))
(.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x))))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) y)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) y)
(.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) y) #s(literal 3 binary64)) (.f64 (.f64 y y) (neg.f64 y))) (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) y) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) y) (-.f64 (.f64 y y) (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) y) (neg.f64 y)))))
(/.f64 (+.f64 (pow.f64 (.f64 y (.f64 (.f64 #s(literal 1/2 binary64) x) y)) #s(literal 3 binary64)) (.f64 (.f64 y y) (neg.f64 y))) (fma.f64 (.f64 y (.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 y (.f64 (.f64 #s(literal 1/2 binary64) x) y)) (-.f64 (.f64 y y) (.f64 (.f64 y (.f64 (.f64 #s(literal 1/2 binary64) x) y)) (neg.f64 y)))))
(/.f64 (fma.f64 (.f64 y y) (neg.f64 y) (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) y) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) y) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) y)) (.f64 (neg.f64 y) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) y) y)))))
(/.f64 (fma.f64 (.f64 y y) (neg.f64 y) (pow.f64 (.f64 y (.f64 (.f64 #s(literal 1/2 binary64) x) y)) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 (.f64 y (.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 y (.f64 (.f64 #s(literal 1/2 binary64) x) y))) (.f64 (neg.f64 y) (.f64 y (.f64 (*.f64 #s(literal 1/2 binary64) x) y))))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)) #s(literal -1 binary64)) y)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y) #s(literal -1 binary64)) y)) (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)) #s(literal 1 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 y)))))
(/.f64 (neg.f64 (.f64 y (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 y (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y) #s(literal -1 binary64)))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)) #s(literal 1 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 y)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)) #s(literal -1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y) #s(literal -1 binary64)) y) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)) #s(literal 1 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 y))))
(/.f64 (.f64 y (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)) #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
(/.f64 (.f64 y (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y) #s(literal -1 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)) #s(literal 1 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 y))))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) y (neg.f64 y))
(fma.f64 #s(literal -1 binary64) y (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) y) y))
(fma.f64 #s(literal -1 binary64) y (.f64 y (.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(fma.f64 y (.f64 (.f64 #s(literal 1/2 binary64) x) y) (neg.f64 y))
(fma.f64 y #s(literal -1 binary64) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) y) y))
(fma.f64 y #s(literal -1 binary64) (.f64 y (.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(+.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) y) y) (neg.f64 y))
(+.f64 (.f64 y (.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (neg.f64 y))
(+.f64 (neg.f64 y) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) y) y))
(+.f64 (neg.f64 y) (.f64 y (.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x))))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y) #s(literal 1 binary64))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y) #s(literal 1 binary64))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)) #s(literal 1 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)) #s(literal -1 binary64))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)) #s(literal 1 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 y)))))
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(fma.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))) (/.f64 (/.f64 (.f64 y y) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) (-.f64 x (/.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 y y) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) (-.f64 (/.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)))
(-.f64 (/.f64 (.f64 x x) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)) (/.f64 (/.f64 (.f64 y y) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)))
(-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x))) (/.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (*.f64 x x))))
(-.f64 x (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
(+.f64 (/.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)
(+.f64 x (/.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)) #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)) #s(literal 1 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
(pow.f64 (/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
(neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64))
(/.f64 (neg.f64 y) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(/.f64 y #s(literal 2 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal -2 binary64)))

eval131.0ms (0.5%)

Memory: 22.2MiB live, 212.5MiB allocated
Compiler: Compiled 17 284 to 1 479 computations (91.4% saved)

prune279.0ms (1.1%)

Memory

-7.3MiB live, 214.7MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	767	2	769
Fresh	0	0	0
Picked	1	2	3
Done	0	4	4
Total	768	8	776

Accuracy

100.0%

Counts

776 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) y x)
✓	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
▶	99.9%	(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* 1/2 x) y) 1) y) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y)))))
✓	64.7%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
✓	76.5%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
✓	22.4%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
▶	23.2%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) y (neg.f64 y))))
✓	23.2%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)))

Compiler

Compiled 82 to 50 computations (39% saved)

simplify262.0ms (1.1%)

Memory

12.6MiB live, 127.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

1 768×	`lower-fma.f32`
1 766×	`lower-fma.f64`
1 663×	`div-sub`
1 268×	`lower--.f32`
1 267×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	143
0	40	143
1	69	143
2	108	143
3	195	143
4	353	143
5	734	143
6	1195	143
7	1471	143
8	1686	143
9	2193	134
10	2929	134
11	3426	134
12	3581	134
13	3941	134
14	4287	134
15	4670	134
16	5538	134
17	6116	134
18	6434	134
19	6952	134
20	7217	134
21	7294	134
22	7522	134
23	7552	134
24	7582	134
25	7802	134
0	8650	126

Stop Event

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

Calls

Call 1

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

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

localize149.0ms (0.6%)

Memory

-35.1MiB live, 123.4MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* 1/2 x) y) 1) y) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y)))))
accuracy	0	#s(approx (/ (+ (* (* 1/2 x) y) 1) y) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y)))
accuracy	0.00390625	(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y))
accuracy	0.09375	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* 1/2 x) y) 1) y) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y))))
accuracy	0	(neg.f64 y)
accuracy	0.0625	(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) y (neg.f64 y))
accuracy	23.41228669696968	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) y (neg.f64 y))))
accuracy	26.436621965058436	#s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) y (neg.f64 y)))

Samples

76.0ms

256×

valid

Compiler

Compiled 94 to 29 computations (69.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-neg: 26.0ms (39.9% of total)

ival-mult: 22.0ms (33.7% of total)

ival-div: 8.0ms (12.3% of total)

ival-add: 6.0ms (9.2% of total)

ival-sub: 2.0ms (3.1% of total)

exact: 1.0ms (1.5% of total)

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

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

series12.0ms (0%)

Memory

22.2MiB live, 22.2MiB allocated

Counts

9 → 204

Calls

Call 1

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

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

Calls

51 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(+ (* 1/2 x) (/ 1 y))
0.0ms	x	@	0	(+ (* (* (* 1/2 x) y) y) (neg y))
0.0ms	x	@	inf	(+ (* (* (* 1/2 x) y) y) (neg y))
0.0ms	y	@	0	(+ (* (* (* 1/2 x) y) y) (neg y))
0.0ms	y	@	inf	(+ (* (* (* 1/2 x) y) y) (neg y))

simplify407.0ms (1.6%)

Memory

-19.1MiB live, 178.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6 098×	`lower-fma.f64`
6 098×	`lower-fma.f32`
2 188×	`lower-*.f64`
2 188×	`lower-*.f32`
1 199×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	254	1947
1	807	1900
2	2166	1865
3	6693	1857
0	8113	1729

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 195

Calls

Call 1

Inputs
(* -1 y)
(- (* 1/2 (* x (pow y 2))) y)
(- (* 1/2 (* x (pow y 2))) y)
(- (* 1/2 (* x (pow y 2))) y)
(* 1/2 (* x (pow y 2)))
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))
(* 1/2 (* x (pow y 2)))
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))
(* -1 y)
(* y (- (* 1/2 (* x y)) 1))
(* y (- (* 1/2 (* x y)) 1))
(* y (- (* 1/2 (* x y)) 1))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(* -1 y)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/ 2 x)
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
y
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(/ 1 y)
(+ (* 1/2 x) (/ 1 y))
(+ (* 1/2 x) (/ 1 y))
(+ (* 1/2 x) (/ 1 y))
(* 1/2 x)
(* x (+ 1/2 (/ 1 (* x y))))
(* x (+ 1/2 (/ 1 (* x y))))
(* x (+ 1/2 (/ 1 (* x y))))
(* 1/2 x)
(* x (+ 1/2 (/ 1 (* x y))))
(* x (+ 1/2 (/ 1 (* x y))))
(* x (+ 1/2 (/ 1 (* x y))))
(/ 1 y)
(/ (+ 1 (* 1/2 (* x y))) y)
(/ (+ 1 (* 1/2 (* x y))) y)
(/ (+ 1 (* 1/2 (* x y))) y)
(* 1/2 x)
(+ (* 1/2 x) (/ 1 y))
(+ (* 1/2 x) (/ 1 y))
(+ (* 1/2 x) (/ 1 y))
(* 1/2 x)
(+ (* 1/2 x) (/ 1 y))
(+ (* 1/2 x) (/ 1 y))
(+ (* 1/2 x) (/ 1 y))
(/ 1 y)
(+ (* 1/2 x) (/ 1 y))
(+ (* 1/2 x) (/ 1 y))
(+ (* 1/2 x) (/ 1 y))
(* 1/2 x)
(* x (+ 1/2 (/ 1 (* x y))))
(* x (+ 1/2 (/ 1 (* x y))))
(* x (+ 1/2 (/ 1 (* x y))))
(* 1/2 x)
(* x (+ 1/2 (/ 1 (* x y))))
(* x (+ 1/2 (/ 1 (* x y))))
(* x (+ 1/2 (/ 1 (* x y))))
(/ 1 y)
(/ (+ 1 (* 1/2 (* x y))) y)
(/ (+ 1 (* 1/2 (* x y))) y)
(/ (+ 1 (* 1/2 (* x y))) y)
(* 1/2 x)
(+ (* 1/2 x) (/ 1 y))
(+ (* 1/2 x) (/ 1 y))
(+ (* 1/2 x) (/ 1 y))
(* 1/2 x)
(+ (* 1/2 x) (/ 1 y))
(+ (* 1/2 x) (/ 1 y))
(+ (* 1/2 x) (/ 1 y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)

Outputs
(* -1 y)
(neg.f64 y)
(- (* 1/2 (* x (pow y 2))) y)
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)
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(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) x #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(fma.f64 (.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y)
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) y) x) (.f64 x x) (.f64 #s(literal 1/4 binary64) (.f64 x x))) y (.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) y)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 x y)) #s(literal -2 binary64)) x)
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x x) y) y)) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x y)) #s(literal 2 binary64))) x)
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(-.f64 (/.f64 #s(literal -16 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) y) (.f64 y y))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x y)) (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x x) y) y))) #s(literal 2 binary64)) x))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 x y)) #s(literal -2 binary64)) x)
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x x) y) y)) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x y)) #s(literal 2 binary64))) x)
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -16 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) y) (.f64 y y))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x y)) (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x x) y) y))) #s(literal 2 binary64)) x))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* 1/2 x) (/ 1 y))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(+ (* 1/2 x) (/ 1 y))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(+ (* 1/2 x) (/ 1 y))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (/ 1 (* x y))))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(* x (+ 1/2 (/ 1 (* x y))))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(* x (+ 1/2 (/ 1 (* x y))))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (/ 1 (* x y))))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(* x (+ 1/2 (/ 1 (* x y))))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(* x (+ 1/2 (/ 1 (* x y))))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* 1/2 (* x y))) y)
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)) y)
(/ (+ 1 (* 1/2 (* x y))) y)
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)) y)
(/ (+ 1 (* 1/2 (* x y))) y)
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)) y)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(+ (* 1/2 x) (/ 1 y))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(+ (* 1/2 x) (/ 1 y))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(+ (* 1/2 x) (/ 1 y))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(+ (* 1/2 x) (/ 1 y))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(+ (* 1/2 x) (/ 1 y))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(+ (* 1/2 x) (/ 1 y))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* 1/2 x) (/ 1 y))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(+ (* 1/2 x) (/ 1 y))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(+ (* 1/2 x) (/ 1 y))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (/ 1 (* x y))))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(* x (+ 1/2 (/ 1 (* x y))))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(* x (+ 1/2 (/ 1 (* x y))))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (/ 1 (* x y))))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(* x (+ 1/2 (/ 1 (* x y))))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(* x (+ 1/2 (/ 1 (* x y))))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* 1/2 (* x y))) y)
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)) y)
(/ (+ 1 (* 1/2 (* x y))) y)
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)) y)
(/ (+ 1 (* 1/2 (* x y))) y)
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)) y)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(+ (* 1/2 x) (/ 1 y))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(+ (* 1/2 x) (/ 1 y))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(+ (* 1/2 x) (/ 1 y))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(+ (* 1/2 x) (/ 1 y))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(+ (* 1/2 x) (/ 1 y))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(+ (* 1/2 x) (/ 1 y))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)

rewrite555.0ms (2.2%)

Memory

36.3MiB live, 304.6MiB allocated

Rules

3 053×	`lower-fma.f32`
3 051×	`lower-fma.f64`
2 652×	`lower-*.f32`
2 650×	`lower-*.f64`
2 434×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	130
0	40	130
1	196	130
2	1623	130
0	8947	119

Stop Event

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

Counts

9 → 196

Calls

Call 1

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

Outputs
(.f64 (/.f64 (fma.f64 (.f64 y y) (.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal -1 binary64)) (fma.f64 (.f64 y y) (.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal -1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 y y) (.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 #s(literal 1/4 binary64) (.f64 x x))))) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y #s(literal 1/2 binary64)) x)))))
(.f64 (/.f64 (fma.f64 (.f64 y y) (.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x) #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 y y) (.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 (.f64 y #s(literal 1/2 binary64)) x)))))
(.f64 (/.f64 (fma.f64 (.f64 y y) (.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x) #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) x) (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) y) y) (/.f64 (.f64 y (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
(.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 #s(literal 1/4 binary64) (.f64 x x))))) (/.f64 (fma.f64 (.f64 y y) (.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y #s(literal 1/2 binary64)) x)))))
(.f64 (/.f64 y (fma.f64 (.f64 y y) (.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal -1 binary64))) (/.f64 (fma.f64 (.f64 y y) (.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)))))
(.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x) #s(literal 1 binary64))) (/.f64 (fma.f64 (.f64 y y) (.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 y y) (.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 (.f64 y #s(literal 1/2 binary64)) x)))))
(.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x) #s(literal 1 binary64))) (/.f64 (fma.f64 (.f64 y y) (.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) x) (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) y) (.f64 y (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))))
(.f64 (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) y)
(.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) (neg.f64 y))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (neg.f64 y) (-.f64 (neg.f64 y) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 y y))))))))
(.f64 y (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)))
(pow.f64 (/.f64 (.f64 y (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (.f64 (.f64 (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) y) (.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (neg.f64 y) (-.f64 (neg.f64 y) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 y y)))))) (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)) (.f64 (*.f64 y y) (neg.f64 y)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 y y) (.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal -1 binary64)) y)) (neg.f64 (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x) #s(literal -1 binary64)) y)) (neg.f64 (-.f64 (fma.f64 (.f64 y y) (.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 y)))))
(/.f64 (neg.f64 (.f64 y (fma.f64 (.f64 y y) (.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 y (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x) #s(literal -1 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 y y) (.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 y)))))
(/.f64 (neg.f64 (-.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 #s(literal 1/4 binary64) (.f64 x x)))))) (neg.f64 (-.f64 (neg.f64 y) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 y y))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x))) (.f64 (.f64 y y) y))) (neg.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 y y (.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 y y))) y)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) y) (.f64 y (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))))) (neg.f64 (neg.f64 (.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) (neg.f64 y))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (neg.f64 y) (-.f64 (neg.f64 y) (.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 y y)))))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (.f64 y (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) (.f64 (.f64 y (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (.f64 y y))) (.f64 (.f64 y (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (.f64 y (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal -1 binary64)) y) (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x) #s(literal -1 binary64)) y) (-.f64 (fma.f64 (.f64 y y) (.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 y))))
(/.f64 (.f64 y (fma.f64 (.f64 y y) (.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal -1 binary64))) (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (.f64 y (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x) #s(literal -1 binary64))) (-.f64 (fma.f64 (.f64 y y) (.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 y))))
(/.f64 (-.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 #s(literal 1/4 binary64) (.f64 x x))))) (-.f64 (neg.f64 y) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 y y)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x))) (.f64 (.f64 y y) y)) (fma.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 y y (.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 y y))) y))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) y) (.f64 y (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))))) (neg.f64 (fma.f64 (.f64 y y) (*.f64 x #s(literal 1/2 binary64)) y)))
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(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) y)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(literal 1/2 binary64))) y))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) y))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 (.f64 x #s(literal 1/2 binary64)) y))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) y))) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(literal 1/2 binary64))) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 y y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(literal 1/2 binary64))) y)) (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(literal 1/2 binary64))) y)) (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) y)))))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (neg.f64 y))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 y y) (.f64 #s(literal 0 binary64) (neg.f64 y)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))) (neg.f64 (+.f64 #s(literal 0 binary64) y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) y))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))
(neg.f64 y)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 0 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y)))) (/.f64 (.f64 (.f64 y y) y) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y)))))
(-.f64 #s(literal 0 binary64) y)
(+.f64 #s(literal 0 binary64) (neg.f64 y))

eval159.0ms (0.6%)

Memory: 8.2MiB live, 94.5MiB allocated
Compiler: Compiled 7 762 to 723 computations (90.7% saved)

prune139.0ms (0.6%)

Memory

-25.6MiB live, 90.8MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	391	0	391
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	391	8	399

Accuracy

100.0%

Counts

399 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) y x)
✓	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
✓	99.9%	(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* 1/2 x) y) 1) y) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y)))))
✓	64.7%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
✓	76.5%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
✓	22.4%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
✓	23.2%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) y (neg.f64 y))))
✓	23.2%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y 1/2) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)))

Compiler

Compiled 183 to 88 computations (51.9% saved)

regimes12.0ms (0%)

Memory

22.2MiB live, 22.2MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes22.0ms (0.1%)

Memory

-30.1MiB live, 16.6MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

16.0ms	y
3.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
3.0ms	x

Results

Accuracy	Segments	Branch
85.1%	3	`x`
94.3%	3	`y`
90.6%	3	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes5.0ms (0%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
76.5%	1	`x`
76.5%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
76.5%	1	`y`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes4.0ms (0%)

Memory

12.7MiB live, 12.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
22.4%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
22.4%	1	`x`
22.4%	1	`y`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch59.0ms (0.2%)

Memory

-0.1MiB live, 39.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.6719399310974078e+130	3.584500898406324e+135
44.0ms	-9.851665472554642e+69	-2.6138648472551717e+69

Samples

49.0ms

224×

valid

Compiler

Compiled 240 to 154 computations (35.8% saved)

Precisions

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

ival-div: 3.0ms (43.6% of total)

ival-mult: 2.0ms (29.1% of total)

ival-sub: 1.0ms (14.5% of total)

ival-add: 1.0ms (14.5% of total)

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

exact: 0.0ms (0% of total)

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

simplify8.0ms (0%)

Memory

8.1MiB live, 8.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative_binary64`
7×	`sub-neg_binary64`
5×	`*-commutative_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	92
1	39	92
2	51	92
3	58	92
4	62	92
5	63	92

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -8500000000000000233393324026526283982759425694418140717220005775671296 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 y #s(literal 450000000000000019514509048899261981026398042578286493440685064212219119018495878837902383192270073514880766860072876710222052196352 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

Outputs
(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -8500000000000000233393324026526283982759425694418140717220005775671296 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 y #s(literal 450000000000000019514509048899261981026398042578286493440685064212219119018495878837902383192270073514880766860072876710222052196352 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

soundness783.0ms (3.1%)

Memory

-18.0MiB live, 265.8MiB allocated

Rules

6 779×	`lower-fma.f64`
6 779×	`lower-fma.f32`
2 877×	`lower-fma.f64`
2 877×	`lower-fma.f32`
2 465×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
0	14	35
1	63	35
2	500	35
3	6873	35
0	8527	32
0	231	1053
1	738	1018
2	1942	987
3	6081	981
0	8428	934

Stop Event

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

Compiler

Compiled 87 to 47 computations (46% saved)

preprocess52.0ms (0.2%)

Memory: -19.5MiB live, 55.9MiB allocated
Compiler: Compiled 112 to 56 computations (50% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze138.0ms (0.6%)

sample19.1s (76.6%)

explain131.0ms (0.5%)

preprocess66.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify34.0ms (0.1%)

localize28.0ms (0.1%)

series11.0ms (0%)

simplify180.0ms (0.7%)

rewrite228.0ms (0.9%)

eval67.0ms (0.3%)

prune53.0ms (0.2%)

simplify86.0ms (0.3%)

localize71.0ms (0.3%)

series16.0ms (0.1%)

simplify230.0ms (0.9%)

rewrite209.0ms (0.8%)

eval75.0ms (0.3%)

prune112.0ms (0.4%)

simplify398.0ms (1.6%)

localize104.0ms (0.4%)

series14.0ms (0.1%)

simplify238.0ms (1%)

rewrite295.0ms (1.2%)

eval131.0ms (0.5%)

prune279.0ms (1.1%)

simplify262.0ms (1.1%)

localize149.0ms (0.6%)

series12.0ms (0%)

simplify407.0ms (1.6%)

rewrite555.0ms (2.2%)

eval159.0ms (0.6%)

prune139.0ms (0.6%)

regimes12.0ms (0%)

regimes22.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

bsearch59.0ms (0.2%)

simplify8.0ms (0%)

soundness783.0ms (3.1%)

preprocess52.0ms (0.2%)

end0.0ms (0%)

Profiling