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

analyze67.0ms (1.1%)

Memory

5.4MiB live, 44.4MiB 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)

sample1.2s (19.4%)

Memory

15.4MiB live, 1 606.7MiB allocated

Samples

864.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 571.0ms

ival-div: 275.0ms (48.2% of total)

ival-add: 122.0ms (21.4% of total)

ival-mult: 119.0ms (20.8% of total)

ival-sub: 39.0ms (6.8% of total)

exact: 8.0ms (1.4% of total)

ival-true: 6.0ms (1.1% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

preprocess73.0ms (1.1%)

Memory

4.2MiB live, 84.4MiB allocated

Algorithm

1×	egg-herbie

Rules

384×	`lower-fma.f64`
384×	`lower-fma.f32`
272×	`lower-*.f32`
270×	`lower-*.f64`
224×	`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 x (*.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64))))

explain155.0ms (2.4%)

Memory

-15.2MiB live, 222.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
40	-	-	`(/.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

31.0ms

512×

valid

Compiler

Compiled 108 to 40 computations (63% saved)

Precisions

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

ival-div: 7.0ms (42.9% of total)

ival-mult: 4.0ms (24.5% of total)

ival-sub: 2.0ms (12.3% of total)

ival-add: 2.0ms (12.3% of total)

exact: 1.0ms (6.1% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB 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)

simplify40.0ms (0.6%)

Memory

1.0MiB live, 48.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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

384×	`lower-fma.f64`
384×	`lower-fma.f32`
272×	`lower-*.f32`
270×	`lower-*.f64`
224×	`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 x (*.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64))))
x
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))
y
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(.f64 x (.f64 y #s(literal 1/2 binary64)))
(*.f64 x y)
#s(literal 2 binary64)

localize30.0ms (0.5%)

Memory

4.3MiB live, 42.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(/.f64 (*.f64 x y) #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
✓	accuracy	85.2%	(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))

Samples

15.0ms

256×

valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

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

ival-div: 3.0ms (37% of total)

ival-mult: 2.0ms (24.7% of total)

ival-sub: 1.0ms (12.3% of total)

ival-add: 1.0ms (12.3% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Counts

4 → 96

Calls

Call 1

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

Outputs
#<alt y>
#<alt (* y (+ 1 (* -1/2 (* x y))))>
#<alt (* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))>
#<alt (* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))>
#<alt (/ 2 x)>
#<alt (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))>
#<alt (- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))>
#<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))))>
#<alt (/ 2 x)>
#<alt (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))>
#<alt (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))>
#<alt y>
#<alt (+ y (* -1/2 (* x (pow y 2))))>
#<alt (+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))>
#<alt (+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))>
#<alt (/ 2 x)>
#<alt (/ (- 2 (* 4 (/ 1 (* x y)))) x)>
#<alt (/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)>
#<alt (/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)>
#<alt (/ 2 x)>
#<alt (* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))>
#<alt (* -1 y)>
#<alt (- (* x (+ 1 (* 1/2 (pow y 2)))) y)>
#<alt (- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)>
#<alt (- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)>
#<alt x>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))>
#<alt x>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* y (- (* 1/2 (* x y)) 1)))>
#<alt (+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))>
#<alt (- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))>
#<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))))))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))>
#<alt (- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))>
#<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)))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>

Calls

24 calls:

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

rewrite298.0ms (4.7%)

Memory

-18.9MiB live, 488.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 754×	`lower-fma.f64`
5 754×	`lower-fma.f32`
4 124×	`lower-*.f32`
4 122×	`lower-*.f64`
2 962×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
0	14	28
1	63	28
2	500	28
3	6874	28
0	8528	26

Stop Event

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

Counts

4 → 194

Calls

Call 1

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

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

simplify351.0ms (5.5%)

Memory

11.6MiB live, 524.3MiB allocated

Algorithm

1×	egg-herbie

Rules

13 646×	`lower-fma.f64`
13 646×	`lower-fma.f32`
4 848×	`lower-*.f64`
4 848×	`lower-*.f32`
1 850×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	217	905
1	694	870
2	1856	839
3	5838	833
0	8153	804

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 91

Calls

Call 1

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

simplify80.0ms (1.3%)

Memory

-0.4MiB live, 77.6MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	451	6687
1	452	6687
0	452	6687

Stop Event

1×	saturated
1×	saturated

Counts

194 → 0

Calls

Call 1

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

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

eval17.0ms (0.3%)

Memory: 27.1MiB live, 27.1MiB allocated
Compiler: Compiled 2 484 to 125 computations (95% saved)

prune12.0ms (0.2%)

Memory

-25.8MiB live, 12.8MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	176	6	182
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	177	6	183

Accuracy

100.0%

Counts

183 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.3%	(fma.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
	57.2%	(fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x)
▶	99.9%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 x (.f64 y #s(literal 1/2 binary64))))))
▶	59.5%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
▶	74.7%	(-.f64 x y)
▶	28.7%	(neg.f64 y)

Compiler

Compiled 100 to 66 computations (34% saved)

simplify114.0ms (1.8%)

Memory

14.1MiB live, 96.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

1 368×	`lower-fma.f32`
1 364×	`lower-fma.f64`
648×	`lower-*.f32`
642×	`lower-*.f64`
278×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	79
0	32	79
1	58	79
2	102	79
3	163	79
4	331	79
5	581	79
6	906	79
7	1225	79
8	1328	79
9	1423	79
10	1487	79
11	1601	79
12	1613	79
13	1621	79
14	1628	79
15	1629	79
0	1629	76

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize183.0ms (2.9%)

Memory

14.2MiB live, 90.5MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(fma.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	100.0%	(*.f64 y #s(literal 1/2 binary64))
✓	accuracy	100.0%	(.f64 x (.f64 y #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 x (.f64 y #s(literal 1/2 binary64))))))
✓	accuracy	85.2%	(/.f64 y (+.f64 #s(literal 1 binary64) (.f64 x (.f64 y #s(literal 1/2 binary64)))))

Samples

162.0ms

256×

valid

Compiler

Compiled 84 to 22 computations (73.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 150.0ms

ival-sub: 134.0ms (89.5% of total)

ival-mult: 7.0ms (4.7% of total)

ival-div: 4.0ms (2.7% of total)

ival-add: 3.0ms (2% of total)

ival-neg: 1.0ms (0.7% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

-24.7MiB live, 13.4MiB allocated

Counts

11 → 204

Calls

Call 1

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

Outputs
#<alt y>
#<alt (* y (+ 1 (* -1/2 (* x y))))>
#<alt (* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))>
#<alt (* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))>
#<alt (/ 2 x)>
#<alt (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))>
#<alt (- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))>
#<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))))>
#<alt (/ 2 x)>
#<alt (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))>
#<alt (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))>
#<alt y>
#<alt (+ y (* -1/2 (* x (pow y 2))))>
#<alt (+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))>
#<alt (+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))>
#<alt (/ 2 x)>
#<alt (/ (- 2 (* 4 (/ 1 (* x y)))) x)>
#<alt (/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)>
#<alt (/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)>
#<alt (/ 2 x)>
#<alt (* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))>
#<alt (* -1 y)>
#<alt (- (* x (+ 1 (* 1/2 (pow y 2)))) y)>
#<alt (- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)>
#<alt (- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)>
#<alt x>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))>
#<alt x>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* y (- (* 1/2 (* x y)) 1)))>
#<alt (+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))>
#<alt (- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))>
#<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))))))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))>
#<alt (- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))>
#<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)))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (/ -2 x)>
#<alt (/ (- (pow x 2) 2) x)>
#<alt (/ (- (pow x 2) 2) x)>
#<alt (/ (- (pow x 2) 2) x)>
#<alt x>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* y (- (* 1/2 (* x y)) 1)))>
#<alt (+ x (* y (- (* 1/2 (* x y)) 1)))>
#<alt (* 1/2 (* x (pow y 2)))>
#<alt (* (pow y 2) (- (* 1/2 x) (/ 1 y)))>
#<alt (* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))>
#<alt (* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))>
#<alt (* 1/2 (* x (pow y 2)))>
#<alt (* (pow y 2) (- (* 1/2 x) (/ 1 y)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))>
#<alt (* -1 y)>
#<alt (+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))>
#<alt (+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))>
#<alt (+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))>
#<alt (* x (+ 1 (* 1/2 (pow y 2))))>
#<alt (* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))>
#<alt (* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))>
#<alt (* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))>
#<alt (* -1 (* x (- (* -1/2 (pow y 2)) 1)))>
#<alt (* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))>
#<alt (* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))>
#<alt (* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt -1>
#<alt (- (* 1/2 (* x y)) 1)>
#<alt (- (* 1/2 (* x y)) 1)>
#<alt (- (* 1/2 (* x y)) 1)>
#<alt (* 1/2 (* x y))>
#<alt (* y (- (* 1/2 x) (/ 1 y)))>
#<alt (* y (- (* 1/2 x) (/ 1 y)))>
#<alt (* y (- (* 1/2 x) (/ 1 y)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* y (+ (* -1/2 x) (/ 1 y))))>
#<alt (* -1 (* y (+ (* -1/2 x) (/ 1 y))))>
#<alt (* -1 (* y (+ (* -1/2 x) (/ 1 y))))>
#<alt -1>
#<alt (- (* 1/2 (* x y)) 1)>
#<alt (- (* 1/2 (* x y)) 1)>
#<alt (- (* 1/2 (* x y)) 1)>
#<alt (* 1/2 (* x y))>
#<alt (* x (- (* 1/2 y) (/ 1 x)))>
#<alt (* x (- (* 1/2 y) (/ 1 x)))>
#<alt (* x (- (* 1/2 y) (/ 1 x)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* x (+ (* -1/2 y) (/ 1 x))))>
#<alt (* -1 (* x (+ (* -1/2 y) (/ 1 x))))>
#<alt (* -1 (* x (+ (* -1/2 y) (/ 1 x))))>

Calls

51 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(+ (* y (+ (* y (* x 1/2)) -1)) x)
1.0ms	x	@	0	(- x (/ 2 x))
0.0ms	x	@	-inf	(* x 1/2)
0.0ms	y	@	inf	(neg y)
0.0ms	y	@	-inf	(+ (* y (+ (* y (* x 1/2)) -1)) x)

rewrite405.0ms (6.4%)

Memory

36.7MiB live, 503.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 032×	`lower-fma.f32`
7 028×	`lower-fma.f64`
3 960×	`lower-/.f32`
3 956×	`lower-/.f64`
3 718×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	59
0	32	59
1	138	59
2	1166	59
0	8577	57

Stop Event

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

Counts

11 → 401

Calls

Call 1

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

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

simplify503.0ms (7.9%)

Memory

-29.4MiB live, 618.9MiB allocated

Algorithm

1×	egg-herbie

Rules

13 060×	`lower-fma.f64`
13 060×	`lower-fma.f32`
4 784×	`lower-*.f64`
4 784×	`lower-*.f32`
2 796×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	271	1508
1	849	1483
2	2308	1369
3	7375	1343
0	8263	1268

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 193

Calls

Call 1

Inputs
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 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)))
(* 1/2 (* 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))
(* 1/2 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)
(* -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 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)))))
(/ -2 x)
(/ (- (pow x 2) 2) x)
(/ (- (pow x 2) 2) x)
(/ (- (pow x 2) 2) x)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 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)
(* 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
(- (* 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))))

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

simplify178.0ms (2.8%)

Memory

-6.6MiB live, 127.3MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	926	10781
1	927	10781
0	927	10781

Stop Event

1×	saturated
1×	saturated

Counts

401 → 0

Calls

Call 1

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

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

eval165.0ms (2.6%)

Memory: -3.6MiB live, 75.1MiB allocated
Compiler: Compiled 3 544 to 116 computations (96.7% saved)

prune5.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	384	2	386
Fresh	0	1	1
Picked	1	4	5
Done	0	0	0
Total	385	7	392

Accuracy

100.0%

Counts

392 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.2%	(fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x)
▶	12.7%	(/.f64 #s(literal -2 binary64) x)
✓	99.9%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 x (.f64 y #s(literal 1/2 binary64))))))
✓	59.5%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
✓	74.7%	(-.f64 x y)
▶	29.1%	(.f64 y (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
✓	28.7%	(neg.f64 y)

Compiler

Compiled 54 to 37 computations (31.5% saved)

simplify337.0ms (5.3%)

Memory

18.1MiB live, 292.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) (*.f64 x x))
✓	cost-diff	512	(fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x)
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) x)
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓	cost-diff	0	(.f64 y (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))

Rules

6 004×	`lower-fma.f32`
6 000×	`lower-fma.f64`
4 708×	`lower-*.f32`
4 702×	`lower-*.f64`
2 864×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	44
0	21	44
1	38	44
2	69	41
3	104	41
4	138	41
5	222	41
6	516	41
7	1245	41
8	2495	41
9	3633	41
10	7449	41
0	8056	41

Stop Event

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

Calls

Call 1

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

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

localize116.0ms (1.8%)

Memory

-24.6MiB live, 20.4MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.5%	(/.f64 #s(literal -2 binary64) (*.f64 x x))
✓	accuracy	74.1%	(fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x)
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) x)
✓	accuracy	100.0%	(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	99.9%	(.f64 y (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))

Samples

102.0ms

256×

valid

Compiler

Compiled 49 to 16 computations (67.3% saved)

Precisions

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

ival-mult: 7.0ms (51.3% of total)

ival-div: 3.0ms (22% of total)

ival-add: 2.0ms (14.7% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

7 → 108

Calls

Call 1

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

Outputs
#<alt (* -1 y)>
#<alt (* y (- (* 1/2 (* x y)) 1))>
#<alt (* y (- (* 1/2 (* x y)) 1))>
#<alt (* y (- (* 1/2 (* x y)) 1))>
#<alt (* 1/2 (* x (pow y 2)))>
#<alt (* (pow y 2) (- (* 1/2 x) (/ 1 y)))>
#<alt (* (pow y 2) (- (* 1/2 x) (/ 1 y)))>
#<alt (* (pow y 2) (- (* 1/2 x) (/ 1 y)))>
#<alt (* 1/2 (* x (pow y 2)))>
#<alt (* (pow y 2) (- (* 1/2 x) (/ 1 y)))>
#<alt (* (pow y 2) (- (* 1/2 x) (/ 1 y)))>
#<alt (* (pow y 2) (- (* 1/2 x) (/ 1 y)))>
#<alt (* -1 y)>
#<alt (+ (* -1 y) (* 1/2 (* x (pow y 2))))>
#<alt (+ (* -1 y) (* 1/2 (* x (pow y 2))))>
#<alt (+ (* -1 y) (* 1/2 (* x (pow y 2))))>
#<alt (* 1/2 (* x (pow y 2)))>
#<alt (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))>
#<alt (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))>
#<alt (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))>
#<alt (* 1/2 (* x (pow y 2)))>
#<alt (* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))>
#<alt (* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))>
#<alt (* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt -1>
#<alt (- (* 1/2 (* x y)) 1)>
#<alt (- (* 1/2 (* x y)) 1)>
#<alt (- (* 1/2 (* x y)) 1)>
#<alt (* 1/2 (* x y))>
#<alt (* y (- (* 1/2 x) (/ 1 y)))>
#<alt (* y (- (* 1/2 x) (/ 1 y)))>
#<alt (* y (- (* 1/2 x) (/ 1 y)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* y (+ (* -1/2 x) (/ 1 y))))>
#<alt (* -1 (* y (+ (* -1/2 x) (/ 1 y))))>
#<alt (* -1 (* y (+ (* -1/2 x) (/ 1 y))))>
#<alt -1>
#<alt (- (* 1/2 (* x y)) 1)>
#<alt (- (* 1/2 (* x y)) 1)>
#<alt (- (* 1/2 (* x y)) 1)>
#<alt (* 1/2 (* x y))>
#<alt (* x (- (* 1/2 y) (/ 1 x)))>
#<alt (* x (- (* 1/2 y) (/ 1 x)))>
#<alt (* x (- (* 1/2 y) (/ 1 x)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* x (+ (* -1/2 y) (/ 1 x))))>
#<alt (* -1 (* x (+ (* -1/2 y) (/ 1 x))))>
#<alt (* -1 (* x (+ (* -1/2 y) (/ 1 x))))>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ (- (pow x 2) 2) x)>
#<alt (/ (- (pow x 2) 2) x)>
#<alt (/ (- (pow x 2) 2) x)>
#<alt x>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>

Calls

27 calls:

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

rewrite955.0ms (15%)

Memory

25.8MiB live, 417.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 318×	`lower-fma.f32`
6 314×	`lower-fma.f64`
3 794×	`lower-*.f32`
3 788×	`lower-*.f64`
1 928×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	36
0	21	36
1	78	36
2	481	33
3	5623	33
0	8155	33

Stop Event

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

Counts

7 → 360

Calls

Call 1

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

Outputs
(+.f64 (neg.f64 y) (.f64 y (.f64 y (*.f64 x #s(literal 1/2 binary64)))))
(+.f64 (.f64 y (.f64 y (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 y))
(-.f64 (.f64 y (.f64 y (*.f64 x #s(literal 1/2 binary64)))) y)
(-.f64 (/.f64 (.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (.f64 y y)) (.f64 y (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 y y) (.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(fma.f64 y #s(literal -1 binary64) (.f64 y (.f64 y (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 y (.f64 y (.f64 x #s(literal 1/2 binary64))) (neg.f64 y))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 y y)) (neg.f64 y))
(fma.f64 x (.f64 (.f64 y #s(literal 1/2 binary64)) y) (neg.f64 y))
(fma.f64 x (.f64 y (.f64 y #s(literal 1/2 binary64))) (neg.f64 y))
(fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y x)) (neg.f64 y))
(fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 y y)) (neg.f64 y))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y y) (neg.f64 y))
(fma.f64 #s(literal -1 binary64) y (.f64 y (.f64 y (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 (.f64 y (.f64 x #s(literal 1/2 binary64))) y (neg.f64 y))
(fma.f64 (.f64 y x) (.f64 y #s(literal 1/2 binary64)) (neg.f64 y))
(fma.f64 (.f64 y y) (.f64 x #s(literal 1/2 binary64)) (neg.f64 y))
(fma.f64 (.f64 y (.f64 y x)) #s(literal 1/2 binary64) (neg.f64 y))
(fma.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y x) (neg.f64 y))
(fma.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) x (neg.f64 y))
(fma.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) x (neg.f64 y))
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) (.f64 y (.f64 y (.f64 x #s(literal 1/2 binary64))))) (.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (.f64 y y))) (fma.f64 y (.f64 y y) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 y (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))) (.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 y (fma.f64 y (.f64 y (.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal -1 binary64)))))
(/.f64 #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)) (.f64 y (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) #s(literal -1 binary64)))))
(/.f64 (fma.f64 y (.f64 y y) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 y (.f64 y y)))) (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) (.f64 y (.f64 y (.f64 x #s(literal 1/2 binary64))))) (.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (*.f64 y y))))
(/.f64 (fma.f64 y (.f64 y y) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 y (.f64 y y)))) (fma.f64 y y (-.f64 (.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (.f64 y y)) (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (.f64 y y))))))
(/.f64 (.f64 (.f64 y (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))) (.f64 y (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 y (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 1/4 binary64))) #s(literal -1 binary64))) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 y (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) #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 (neg.f64 (fma.f64 y (.f64 y y) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 y (.f64 y y))))) (neg.f64 (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) (.f64 y (.f64 y (.f64 x #s(literal 1/2 binary64))))) (.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (*.f64 y y)))))
(/.f64 (neg.f64 (.f64 (.f64 y (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))) (.f64 y (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (neg.f64 (.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 y (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 1/4 binary64))) #s(literal -1 binary64)))) (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 y (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) #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 (.f64 y y) (.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (.f64 y y))) (-.f64 (neg.f64 y) (.f64 y (.f64 y (.f64 x #s(literal 1/2 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (.f64 y (-.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 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 y (neg.f64 (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 1/4 binary64))) #s(literal -1 binary64)))) (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 y (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 1/4 binary64)))))) (+.f64 #s(literal -1 binary64) (.f64 (*.f64 y x) #s(literal -1/2 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) y) (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 (neg.f64 (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 1/4 binary64))) #s(literal -1 binary64))) y) (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 1/4 binary64))))) y) (+.f64 #s(literal -1 binary64) (.f64 (*.f64 y x) #s(literal -1/2 binary64))))
(pow.f64 (/.f64 (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) (.f64 y (.f64 y (.f64 x #s(literal 1/2 binary64))))) (.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (.f64 y y))) (fma.f64 y (.f64 y y) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 y (*.f64 y y))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 y (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 y (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))) (.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 y (fma.f64 y (.f64 y (.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.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)) (.f64 y (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))
(.f64 y (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) y)
(.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (.f64 (/.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))) y))
(.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (/.f64 y (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 (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 1/4 binary64))) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) y))
(.f64 (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 1/4 binary64))) #s(literal -1 binary64)) (/.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 y (.f64 y y) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) (.f64 y (.f64 y (.f64 x #s(literal 1/2 binary64))))) (.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (.f64 y y)))))
(.f64 (.f64 (.f64 y (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))) (.f64 y (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(.f64 (.f64 y (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 1/4 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 y (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) #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 (.f64 y (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 1/4 binary64))) #s(literal -1 binary64))) (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 1/4 binary64))) #s(literal -1 binary64))) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 y (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 1/4 binary64))) #s(literal -1 binary64))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 y x) #s(literal -1/2 binary64)) (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 y (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) #s(literal -1 binary64))) (fma.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) #s(literal 1/64 binary64)))) (fma.f64 (.f64 (.f64 y (.f64 x (.f64 y x))) (.f64 y (.f64 x (.f64 y x)))) #s(literal 1/16 binary64) (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 y (.f64 y (.f64 (*.f64 x x) #s(literal 1/4 binary64))))))))
(.f64 (/.f64 (.f64 y (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) #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)) (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 1/4 binary64))) (fma.f64 y (.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))) (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 1/4 binary64))) (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/2 binary64)))
(neg.f64 (*.f64 x #s(literal -1/2 binary64)))
(/.f64 x #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64)))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(+.f64 #s(literal -1 binary64) (.f64 y (.f64 x #s(literal 1/2 binary64))))
(+.f64 (.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))
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(/.f64 (-.f64 (.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -2 binary64) x) x)) (.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) x) (.f64 x x))) (*.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) x) (-.f64 (/.f64 #s(literal -2 binary64) x) x)))
(/.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (fma.f64 x (.f64 x x) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (-.f64 (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 16 binary64) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -2 binary64) x) x)))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (fma.f64 x x (/.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal -2 binary64) x) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x)))))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (fma.f64 x x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 x x))) (neg.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x)))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (.f64 x x)))) (neg.f64 (-.f64 x (/.f64 #s(literal -2 binary64) x))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 4 binary64) (.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) x) (.f64 x x))) (/.f64 #s(literal 4 binary64) (.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) x) (.f64 x x)))) (/.f64 #s(literal 4 binary64) (.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) x) (.f64 x x)))) (.f64 (.f64 (/.f64 (.f64 x x) (-.f64 (/.f64 #s(literal -2 binary64) x) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 #s(literal -2 binary64) x) x))) (/.f64 (.f64 x x) (-.f64 (/.f64 #s(literal -2 binary64) x) x)))) (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) x) (.f64 x x))) (/.f64 #s(literal 4 binary64) (.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) x) (.f64 x x))) (fma.f64 (/.f64 (.f64 x x) (-.f64 (/.f64 #s(literal -2 binary64) x) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 #s(literal -2 binary64) x) x)) (.f64 (/.f64 #s(literal 4 binary64) (.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) x) (.f64 x x))) (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal -2 binary64) x) x))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 4 binary64) (.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) x) (.f64 x x))) (/.f64 #s(literal 4 binary64) (.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) x) (.f64 x x)))) (.f64 (/.f64 (.f64 x x) (-.f64 (/.f64 #s(literal -2 binary64) x) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 #s(literal -2 binary64) x) x)))) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) x) (.f64 x x))) (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal -2 binary64) x) x))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (fma.f64 x (.f64 x x) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (fma.f64 x x #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 8 binary64))))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (fma.f64 x x #s(literal 2 binary64))))) (-.f64 (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -2 binary64) x) x))) (+.f64 (/.f64 #s(literal 16 binary64) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -2 binary64) x) x))) (fma.f64 x x (/.f64 #s(literal 4 binary64) (.f64 x x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (/.f64 #s(literal -2 binary64) x)) (-.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (.f64 x x)))) #s(literal -1 binary64))
(.f64 x (+.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 1 binary64)))
(.f64 (+.f64 x (/.f64 #s(literal -2 binary64) x)) (.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) x) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -2 binary64) x) x))))
(*.f64 (+.f64 x (/.f64 #s(literal -2 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) x) (-.f64 (/.f64 #s(literal -2 binary64) x) x)))
(*.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -2 binary64) x)))
(.f64 (fma.f64 x (.f64 x x) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 x x #s(literal 2 binary64)))))
(.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (fma.f64 x x #s(literal 2 binary64))) (.f64 (+.f64 x (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (fma.f64 x x #s(literal 2 binary64))))))
(.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (fma.f64 x x #s(literal 2 binary64))) (/.f64 (+.f64 x (/.f64 #s(literal -2 binary64) x)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 x x #s(literal 2 binary64)))))
(.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -2 binary64) x) x)))
(.f64 (neg.f64 (fma.f64 x (.f64 x x) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 x x #s(literal 2 binary64))))))
(.f64 (+.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (.f64 x x))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) x)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (fma.f64 x x #s(literal 2 binary64)))) (fma.f64 x (.f64 x x) (/.f64 #s(literal -8 binary64) (.f64 x (*.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -2 binary64) x) x)) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (*.f64 x x)))
(.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal -2 binary64) x))))
(.f64 (+.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 1 binary64)) x)
(.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 x x)) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (*.f64 x x))) (+.f64 x (/.f64 #s(literal -2 binary64) x)))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x)))) (fma.f64 (fma.f64 x x #s(literal 2 binary64)) (.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64))) (/.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (fma.f64 (fma.f64 x x #s(literal 2 binary64)) (-.f64 (fma.f64 x x #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (.f64 x x))) (/.f64 #s(literal 16 binary64) (.f64 x (.f64 x (.f64 x x))))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x)))) (-.f64 (/.f64 #s(literal 16 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64))))) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 x x #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 x x)) (-.f64 (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (fma.f64 x x #s(literal -2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 (log.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64) (.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (.f64 (log.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))
(neg.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) (neg.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 x #s(literal -1/2 binary64)) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 x #s(literal 1/2 binary64)) x))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 #s(literal 2 binary64) (*.f64 x (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 x #s(literal 1/2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) x)
(pow.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (*.f64 x x) #s(literal -1/2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))
(.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 2 binary64))
(.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (log.f64 (*.f64 x x)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1 binary64) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 x)))
(neg.f64 (*.f64 x (neg.f64 x)))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(.f64 #s(literal -1 binary64) (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))

simplify208.0ms (3.3%)

Memory

-0.9MiB live, 346.9MiB allocated

Algorithm

1×	egg-herbie

Rules

5 534×	`lower-fma.f64`
5 534×	`lower-fma.f32`
3 064×	`lower-*.f64`
3 064×	`lower-*.f32`
1 288×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	578
1	147	578
2	396	560
3	718	560
4	2366	560
5	5070	560
6	7091	560
0	8091	524

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 106

Calls

Call 1

Inputs
(* -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))))
(* 1/2 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
(- (* 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))))
(/ -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)
(/ (- (pow x 2) 2) x)
(/ (- (pow x 2) 2) x)
(/ (- (pow x 2) 2) x)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

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

simplify82.0ms (1.3%)

Memory

-24.6MiB live, 146.2MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	723	6993
1	724	6993
0	724	6993

Stop Event

1×	saturated
1×	saturated

Counts

360 → 0

Calls

Call 1

Inputs
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(+.f64 (.f64 y (.f64 y (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 y))
(-.f64 (.f64 y (.f64 y (*.f64 x #s(literal 1/2 binary64)))) y)
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(fma.f64 y #s(literal -1 binary64) (.f64 y (.f64 y (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 y (.f64 y (.f64 x #s(literal 1/2 binary64))) (neg.f64 y))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 y y)) (neg.f64 y))
(fma.f64 x (.f64 (.f64 y #s(literal 1/2 binary64)) y) (neg.f64 y))
(fma.f64 x (.f64 y (.f64 y #s(literal 1/2 binary64))) (neg.f64 y))
(fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y x)) (neg.f64 y))
(fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 y y)) (neg.f64 y))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y y) (neg.f64 y))
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(fma.f64 (.f64 y (.f64 x #s(literal 1/2 binary64))) y (neg.f64 y))
(fma.f64 (.f64 y x) (.f64 y #s(literal 1/2 binary64)) (neg.f64 y))
(fma.f64 (.f64 y y) (.f64 x #s(literal 1/2 binary64)) (neg.f64 y))
(fma.f64 (.f64 y (.f64 y x)) #s(literal 1/2 binary64) (neg.f64 y))
(fma.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y x) (neg.f64 y))
(fma.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) x (neg.f64 y))
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(fma.f64 (/.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (fma.f64 x x #s(literal -2 binary64))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal -2 binary64) x) x))))
(neg.f64 (/.f64 (fma.f64 x (.f64 x x) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x)))) (neg.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (fma.f64 x x #s(literal 2 binary64))))))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) x) x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (.f64 x x) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (fma.f64 x x #s(literal 2 binary64)))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 x x)) (-.f64 (/.f64 #s(literal -2 binary64) x) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 #s(literal -2 binary64) x)) (-.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (.f64 x x)))))
(/.f64 (fma.f64 x (.f64 x x) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 x x)) (-.f64 (/.f64 #s(literal -2 binary64) x) x))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 (+.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) x) x))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (fma.f64 x (.f64 x x) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))))) (.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (fma.f64 x x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 8 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (fma.f64 x x #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))))
(/.f64 (-.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) x) (+.f64 (/.f64 #s(literal 16 binary64) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (.f64 x x))) (-.f64 x (/.f64 #s(literal -2 binary64) x)))
(/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) x) (fma.f64 x x (/.f64 #s(literal 4 binary64) (.f64 x x)))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -2 binary64) x) x)) (.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) x) (.f64 x x))) (*.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) x) (-.f64 (/.f64 #s(literal -2 binary64) x) x)))
(/.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (fma.f64 x (.f64 x x) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (-.f64 (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 16 binary64) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -2 binary64) x) x)))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (fma.f64 x x (/.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal -2 binary64) x) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x)))))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (fma.f64 x x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 x x))) (neg.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x)))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (.f64 x x)))) (neg.f64 (-.f64 x (/.f64 #s(literal -2 binary64) x))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 4 binary64) (.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) x) (.f64 x x))) (/.f64 #s(literal 4 binary64) (.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) x) (.f64 x x)))) (/.f64 #s(literal 4 binary64) (.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) x) (.f64 x x)))) (.f64 (.f64 (/.f64 (.f64 x x) (-.f64 (/.f64 #s(literal -2 binary64) x) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 #s(literal -2 binary64) x) x))) (/.f64 (.f64 x x) (-.f64 (/.f64 #s(literal -2 binary64) x) x)))) (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) x) (.f64 x x))) (/.f64 #s(literal 4 binary64) (.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) x) (.f64 x x))) (fma.f64 (/.f64 (.f64 x x) (-.f64 (/.f64 #s(literal -2 binary64) x) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 #s(literal -2 binary64) x) x)) (.f64 (/.f64 #s(literal 4 binary64) (.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) x) (.f64 x x))) (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal -2 binary64) x) x))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 4 binary64) (.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) x) (.f64 x x))) (/.f64 #s(literal 4 binary64) (.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) x) (.f64 x x)))) (.f64 (/.f64 (.f64 x x) (-.f64 (/.f64 #s(literal -2 binary64) x) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 #s(literal -2 binary64) x) x)))) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) x) (.f64 x x))) (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal -2 binary64) x) x))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (fma.f64 x (.f64 x x) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (fma.f64 x x #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 8 binary64))))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (fma.f64 x x #s(literal 2 binary64))))) (-.f64 (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -2 binary64) x) x))) (+.f64 (/.f64 #s(literal 16 binary64) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -2 binary64) x) x))) (fma.f64 x x (/.f64 #s(literal 4 binary64) (.f64 x x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (/.f64 #s(literal -2 binary64) x)) (-.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (.f64 x x)))) #s(literal -1 binary64))
(.f64 x (+.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 1 binary64)))
(.f64 (+.f64 x (/.f64 #s(literal -2 binary64) x)) (.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) x) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -2 binary64) x) x))))
(*.f64 (+.f64 x (/.f64 #s(literal -2 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) x) (-.f64 (/.f64 #s(literal -2 binary64) x) x)))
(*.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -2 binary64) x)))
(.f64 (fma.f64 x (.f64 x x) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 x x #s(literal 2 binary64)))))
(.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (fma.f64 x x #s(literal 2 binary64))) (.f64 (+.f64 x (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (fma.f64 x x #s(literal 2 binary64))))))
(.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (fma.f64 x x #s(literal 2 binary64))) (/.f64 (+.f64 x (/.f64 #s(literal -2 binary64) x)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 x x #s(literal 2 binary64)))))
(.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -2 binary64) x) x)))
(.f64 (neg.f64 (fma.f64 x (.f64 x x) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 x x #s(literal 2 binary64))))))
(.f64 (+.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (.f64 x x))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) x)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (fma.f64 x x #s(literal 2 binary64)))) (fma.f64 x (.f64 x x) (/.f64 #s(literal -8 binary64) (.f64 x (*.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -2 binary64) x) x)) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (*.f64 x x)))
(.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal -2 binary64) x))))
(.f64 (+.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 1 binary64)) x)
(.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 x x)) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (*.f64 x x))) (+.f64 x (/.f64 #s(literal -2 binary64) x)))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x)))) (fma.f64 (fma.f64 x x #s(literal 2 binary64)) (.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64))) (/.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (fma.f64 (fma.f64 x x #s(literal 2 binary64)) (-.f64 (fma.f64 x x #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (.f64 x x))) (/.f64 #s(literal 16 binary64) (.f64 x (.f64 x (.f64 x x))))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x)))) (-.f64 (/.f64 #s(literal 16 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64))))) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 x x #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 x x)) (-.f64 (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (fma.f64 x x #s(literal -2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 (log.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64) (.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (.f64 (log.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))
(neg.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) (neg.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 x #s(literal -1/2 binary64)) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 x #s(literal 1/2 binary64)) x))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 #s(literal 2 binary64) (*.f64 x (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 x #s(literal 1/2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) x)
(pow.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (*.f64 x x) #s(literal -1/2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))
(.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 2 binary64))
(.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (log.f64 (*.f64 x x)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1 binary64) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 x)))
(neg.f64 (*.f64 x (neg.f64 x)))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(.f64 #s(literal -1 binary64) (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))

Outputs
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(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (/.f64 #s(literal -2 binary64) x)) (-.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (.f64 x x)))) #s(literal -1 binary64))
(.f64 x (+.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 1 binary64)))
(.f64 (+.f64 x (/.f64 #s(literal -2 binary64) x)) (.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) x) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -2 binary64) x) x))))
(*.f64 (+.f64 x (/.f64 #s(literal -2 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) x) (-.f64 (/.f64 #s(literal -2 binary64) x) x)))
(*.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -2 binary64) x)))
(.f64 (fma.f64 x (.f64 x x) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 x x #s(literal 2 binary64)))))
(.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (fma.f64 x x #s(literal 2 binary64))) (.f64 (+.f64 x (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (fma.f64 x x #s(literal 2 binary64))))))
(.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (fma.f64 x x #s(literal 2 binary64))) (/.f64 (+.f64 x (/.f64 #s(literal -2 binary64) x)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 x x #s(literal 2 binary64)))))
(.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -2 binary64) x) x)))
(.f64 (neg.f64 (fma.f64 x (.f64 x x) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 x x #s(literal 2 binary64))))))
(.f64 (+.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (.f64 x x))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) x)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (fma.f64 x x #s(literal 2 binary64)))) (fma.f64 x (.f64 x x) (/.f64 #s(literal -8 binary64) (.f64 x (*.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -2 binary64) x) x)) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (*.f64 x x)))
(.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal -2 binary64) x))))
(.f64 (+.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 1 binary64)) x)
(.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 x x)) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (*.f64 x x))) (+.f64 x (/.f64 #s(literal -2 binary64) x)))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x)))) (fma.f64 (fma.f64 x x #s(literal 2 binary64)) (.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64))) (/.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (fma.f64 (fma.f64 x x #s(literal 2 binary64)) (-.f64 (fma.f64 x x #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (.f64 x x))) (/.f64 #s(literal 16 binary64) (.f64 x (.f64 x (.f64 x x))))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x)))) (-.f64 (/.f64 #s(literal 16 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64))))) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 x x #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 x x)) (-.f64 (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (fma.f64 x x #s(literal -2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 (log.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64) (.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (.f64 (log.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))
(neg.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) (neg.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 x #s(literal -1/2 binary64)) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 x #s(literal 1/2 binary64)) x))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 #s(literal 2 binary64) (*.f64 x (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 x #s(literal 1/2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) x)
(pow.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (*.f64 x x) #s(literal -1/2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))
(.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 2 binary64))
(.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (log.f64 (*.f64 x x)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1 binary64) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 x)))
(neg.f64 (*.f64 x (neg.f64 x)))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(.f64 #s(literal -1 binary64) (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))

eval46.0ms (0.7%)

Memory: 11.1MiB live, 51.0MiB allocated
Compiler: Compiled 1 454 to 20 computations (98.6% saved)

prune5.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	212	0	212
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	212	7	219

Accuracy

100.0%

Counts

219 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.2%	(fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x)
✓	12.7%	(/.f64 #s(literal -2 binary64) x)
✓	99.9%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 x (.f64 y #s(literal 1/2 binary64))))))
✓	59.5%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
✓	74.7%	(-.f64 x y)
✓	29.1%	(.f64 y (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
✓	28.7%	(neg.f64 y)

Compiler

Compiled 116 to 66 computations (43.1% saved)

regimes40.0ms (0.6%)

Memory

-11.8MiB live, 27.7MiB allocated

Counts

9 → 1

Calls

Call 1

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

Calls

3 calls:

32.0ms	y
4.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
4.0ms	x

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)

regimes11.0ms (0.2%)

Memory

-9.9MiB live, 29.2MiB allocated

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
3.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
3.0ms	y

Results

Accuracy	Segments	Branch
90.6%	3	`x`
93.9%	3	`y`
90.5%	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)

regimes6.0ms (0.1%)

Memory

20.2MiB live, 20.2MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
(neg.f64 y)
(-.f64 x y)
(/.f64 #s(literal -2 binary64) x)

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
74.7%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
74.7%	1	`x`
80.6%	3	`y`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes6.0ms (0.1%)

Memory

-21.0MiB live, 18.2MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
(neg.f64 y)
(-.f64 x y)

Outputs
(-.f64 x y)

Calls

3 calls:

3.0ms	x
2.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
2.0ms	y

Results

Accuracy	Segments	Branch
74.7%	1	`x`
74.7%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
74.7%	1	`y`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes4.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(neg.f64 y)

Outputs
(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	y
1.0ms	x

Results

Accuracy	Segments	Branch
28.7%	1	`x`
28.7%	1	`y`
28.7%	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)

bsearch25.0ms (0.4%)

Memory

5.0MiB live, 46.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.2597419912131845e+155	1.4522085902007283e+157
13.0ms	-5.38173754406689e+80	-2.6104749144203767e+77

Samples

14.0ms

240×

valid

Compiler

Compiled 226 to 164 computations (27.4% saved)

Precisions

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

ival-div: 3.0ms (40.6% of total)

ival-mult: 2.0ms (27.1% of total)

ival-sub: 1.0ms (13.5% of total)

ival-add: 1.0ms (13.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch32.0ms (0.5%)

Memory

0.5MiB live, 76.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.2174320137763348e+159	1.0642965457544402e+177
14.0ms	-4.6328803477414994e+235	-4.796402148626286e+230

Samples

18.0ms

304×

valid

Compiler

Compiled 244 to 185 computations (24.2% saved)

Precisions

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

ival-div: 7.0ms (58.7% of total)

ival-mult: 2.0ms (16.8% of total)

ival-sub: 1.0ms (8.4% of total)

ival-add: 1.0ms (8.4% of total)

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

exact: 0.0ms (0% of total)

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

simplify12.0ms (0.2%)

Memory

-8.3MiB live, 29.3MiB allocated

Algorithm

1×	egg-herbie

Rules

56×	`unsub-neg_binary64`
54×	`neg-mul-1_binary64`
30×	`*-commutative_binary64`
30×	`+-commutative_binary64`
26×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	54
1	42	54
2	58	54
3	73	54
4	92	54
5	110	54
6	148	54
7	211	54
8	219	54
9	220	54

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 x (.f64 y #s(literal 1/2 binary64))))))
(if (<=.f64 y #s(literal -919999999999999979017801965873421000344999635877225929425521525898925544833024 binary64)) (-.f64 x (/.f64 #s(literal 2 binary64) x)) (if (<=.f64 y #s(literal 130000000000000009268878061519778185862564813451854808943768641240839229940989638529662456594887149172922468383297371480411313792443851477860192908036014080 binary64)) (-.f64 x y) (-.f64 x (/.f64 #s(literal 2 binary64) x))))
(if (<=.f64 y #s(literal -2249999999999999954705541574234790098118652877245825230322736960440016240887382311919529231569540582683853320287938444911495532971117740703715854353584494516722279460963308528259000280148957779524661055333442145317166886688579911680 binary64)) (/.f64 #s(literal -2 binary64) x) (if (<=.f64 y #s(literal 14499999999999999654384387898646948459904921806157267352050532215563656407997188940843244648504540422664010182831460378214278533826686612061792286974909640003008024534843392 binary64)) (-.f64 x y) (/.f64 #s(literal -2 binary64) x)))
(-.f64 x y)
(neg.f64 y)

Outputs
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 x (.f64 y #s(literal 1/2 binary64))))))
(+.f64 x (/.f64 y (-.f64 #s(literal -1 binary64) (.f64 x (.f64 y #s(literal 1/2 binary64))))))
(if (<=.f64 y #s(literal -919999999999999979017801965873421000344999635877225929425521525898925544833024 binary64)) (-.f64 x (/.f64 #s(literal 2 binary64) x)) (if (<=.f64 y #s(literal 130000000000000009268878061519778185862564813451854808943768641240839229940989638529662456594887149172922468383297371480411313792443851477860192908036014080 binary64)) (-.f64 x y) (-.f64 x (/.f64 #s(literal 2 binary64) x))))
(if (<=.f64 y #s(literal -2249999999999999954705541574234790098118652877245825230322736960440016240887382311919529231569540582683853320287938444911495532971117740703715854353584494516722279460963308528259000280148957779524661055333442145317166886688579911680 binary64)) (/.f64 #s(literal -2 binary64) x) (if (<=.f64 y #s(literal 14499999999999999654384387898646948459904921806157267352050532215563656407997188940843244648504540422664010182831460378214278533826686612061792286974909640003008024534843392 binary64)) (-.f64 x y) (/.f64 #s(literal -2 binary64) x)))
(-.f64 x y)
(neg.f64 y)

soundness498.0ms (7.8%)

Memory

0.6MiB live, 415.9MiB allocated

Rules

13 646×	`lower-fma.f64`
13 646×	`lower-fma.f32`
13 060×	`lower-fma.f64`
13 060×	`lower-fma.f32`
4 848×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	271	1508
1	849	1483
2	2308	1369
3	7375	1343
0	8263	1268
0	217	905
1	694	870
2	1856	839
3	5838	833
0	8153	804

Stop Event

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

Compiler

Compiled 107 to 63 computations (41.1% saved)

preprocess39.0ms (0.6%)

Memory: -7.9MiB live, 107.2MiB allocated
Compiler: Compiled 138 to 74 computations (46.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze67.0ms (1.1%)

sample1.2s (19.4%)

preprocess73.0ms (1.1%)

explain155.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify40.0ms (0.6%)

localize30.0ms (0.5%)

series8.0ms (0.1%)

rewrite298.0ms (4.7%)

simplify351.0ms (5.5%)

simplify80.0ms (1.3%)

eval17.0ms (0.3%)

prune12.0ms (0.2%)

simplify114.0ms (1.8%)

localize183.0ms (2.9%)

series11.0ms (0.2%)

rewrite405.0ms (6.4%)

simplify503.0ms (7.9%)

simplify178.0ms (2.8%)

eval165.0ms (2.6%)

prune5.0ms (0.1%)

simplify337.0ms (5.3%)

localize116.0ms (1.8%)

series3.0ms (0.1%)

rewrite955.0ms (15%)

simplify208.0ms (3.3%)

simplify82.0ms (1.3%)

eval46.0ms (0.7%)

prune5.0ms (0.1%)

regimes40.0ms (0.6%)

regimes11.0ms (0.2%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch25.0ms (0.4%)

bsearch32.0ms (0.5%)

simplify12.0ms (0.2%)

soundness498.0ms (7.8%)

preprocess39.0ms (0.6%)

end0.0ms (0%)

Profiling