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

analyze21.0ms (0.3%)

Memory

14.2MiB live, 14.2MiB 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)

sample930.0ms (12.6%)

Memory

22.4MiB live, 1 275.4MiB allocated

Samples

686.0ms	8 255×	0	valid
0.0ms	1×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 427.0ms

ival-div: 209.0ms (49% of total)

ival-sub: 98.0ms (23% of total)

ival-mult: 62.0ms (14.5% of total)

ival-add: 41.0ms (9.6% of total)

exact: 8.0ms (1.9% of total)

ival-true: 6.0ms (1.4% of total)

ival-assert: 3.0ms (0.7% of total)

adjust: 0.0ms (0% of total)

Bogosity

preprocess66.0ms (0.9%)

Memory

27.0MiB live, 102.9MiB 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))))

explain121.0ms (1.6%)

Memory

15.1MiB live, 284.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
29	-	-	`(/.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

36.0ms

512×

valid

Compiler

Compiled 108 to 40 computations (63% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-div: 7.0ms (39% of total)

ival-sub: 4.0ms (22.3% of total)

ival-mult: 4.0ms (22.3% of total)

ival-add: 2.0ms (11.1% of total)

exact: 1.0ms (5.6% of total)

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune3.0ms (0%)

Memory

-34.9MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.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)

simplify49.0ms (0.7%)

Memory

11.8MiB live, 76.0MiB 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)

localize28.0ms (0.4%)

Memory

-8.9MiB live, 69.8MiB 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 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
✓	accuracy	89.3%	(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))

Samples

17.0ms

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 (36.6% of total)

ival-mult: 2.0ms (24.4% of total)

ival-sub: 1.0ms (12.2% of total)

ival-add: 1.0ms (12.2% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

-16.9MiB live, 22.2MiB allocated

Counts

5 → 120

Calls

Call 1

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

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

30 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(- x (/ y (+ 1 (/ (* x y) 2))))
1.0ms	y	@	0	(/ (* x y) 2)
1.0ms	x	@	-inf	(- x (/ y (+ 1 (/ (* x y) 2))))
1.0ms	x	@	inf	(/ (* x y) 2)
1.0ms	x	@	0	(/ (* x y) 2)

rewrite295.0ms (4%)

Memory

13.2MiB live, 571.7MiB 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	35
0	14	35
1	63	35
2	500	35
3	6873	35
0	8527	32

Stop Event

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

Counts

5 → 279

Calls

Call 1

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

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

simplify361.0ms (4.9%)

Memory

12.8MiB live, 604.2MiB allocated

Algorithm

1×	egg-herbie

Rules

13 558×	`lower-fma.f64`
13 558×	`lower-fma.f32`
4 930×	`lower-*.f64`
4 930×	`lower-*.f32`
1 854×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 115

Calls

Call 1

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

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

eval52.0ms (0.7%)

Memory: 17.6MiB live, 91.2MiB allocated
Compiler: Compiled 10 937 to 1 049 computations (90.4% saved)

prune109.0ms (1.5%)

Memory

-5.8MiB live, 79.5MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	386	8	394
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	387	8	395

Accuracy

100.0%

Counts

395 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))) y x)
	68.1%	(fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x)
▶	63.7%	(-.f64 x (fma.f64 x (.f64 y (.f64 y #s(literal -1/2 binary64))) y))
▶	100.0%	(-.f64 x (/.f64 y (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64))))
	61.2%	(-.f64 x (/.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x y))))
▶	61.3%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
	77.3%	(-.f64 x y)
▶	29.4%	(neg.f64 y)

Compiler

Compiled 150 to 98 computations (34.7% saved)

simplify89.0ms (1.2%)

Memory

-28.5MiB live, 88.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)))
✓	cost-diff	192	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))) y x)
✓	cost-diff	0	(*.f64 y #s(literal -1/2 binary64))
✓	cost-diff	0	(.f64 y (.f64 y #s(literal -1/2 binary64)))
✓	cost-diff	0	(fma.f64 x (.f64 y (.f64 y #s(literal -1/2 binary64))) y)
✓	cost-diff	128	(-.f64 x (fma.f64 x (.f64 y (.f64 y #s(literal -1/2 binary64))) y))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(-.f64 x (/.f64 #s(literal 2 binary64) x))
✓	cost-diff	0	(neg.f64 y)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 y (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64)))
✓	cost-diff	0	(-.f64 x (/.f64 y (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64))))

Rules

1 368×	`lower-fma.f32`
1 360×	`lower-fma.f64`
648×	`lower-*.f32`
642×	`lower-*.f64`
264×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	106
0	39	105
1	70	105
2	130	105
3	330	105
4	659	105
5	1075	105
6	1376	105
7	1523	105
8	1661	105
9	1682	105
10	1690	105
11	1697	105
12	1698	105
0	1698	104

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize71.0ms (1%)

Memory

3.1MiB live, 163.5MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))
✓	accuracy	99.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))) y x)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)))
✓	accuracy	100.0%	(-.f64 x (fma.f64 x (.f64 y (.f64 y #s(literal -1/2 binary64))) y))
✓	accuracy	100.0%	(.f64 y (.f64 y #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 y #s(literal -1/2 binary64))
✓	accuracy	88.2%	(fma.f64 x (.f64 y (.f64 y #s(literal -1/2 binary64))) y)
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	100.0%	(-.f64 x (/.f64 y (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64))))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	accuracy	89.3%	(/.f64 y (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64)))

Samples

44.0ms

256×

valid

Compiler

Compiled 117 to 27 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 14.0ms (48.1% of total)

ival-div: 5.0ms (17.2% of total)

ival-add: 4.0ms (13.7% of total)

ival-sub: 3.0ms (10.3% of total)

exact: 1.0ms (3.4% of total)

ival-neg: 1.0ms (3.4% of total)

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

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

series13.0ms (0.2%)

Memory

29.3MiB live, 29.3MiB allocated

Counts

14 → 276

Calls

Call 1

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

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

Calls

69 calls:

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

rewrite419.0ms (5.7%)

Memory

-15.1MiB live, 342.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 288×	`lower-fma.f32`
6 280×	`lower-fma.f64`
4 244×	`lower-/.f32`
4 238×	`lower-/.f64`
3 904×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	88
0	39	87
1	169	87
2	1386	87
0	8809	87

Stop Event

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

Counts

14 → 534

Calls

Call 1

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

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

simplify992.0ms (13.4%)

Memory

-39.1MiB live, 463.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 904×	`lower-fma.f64`
11 904×	`lower-fma.f32`
4 424×	`lower-*.f64`
4 424×	`lower-*.f32`
3 804×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	360	2485
1	1136	2407
2	3031	2353
0	8866	2207

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 263

Calls

Call 1

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

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

eval215.0ms (2.9%)

Memory: 12.3MiB live, 164.9MiB allocated
Compiler: Compiled 20 787 to 1 623 computations (92.2% saved)

prune488.0ms (6.6%)

Memory

0.6MiB live, 161.7MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	820	4	824
Fresh	2	1	3
Picked	1	4	5
Done	0	0	0
Total	823	9	832

Accuracy

100.0%

Counts

832 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))) y x)
▶	61.2%	(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 y x)) y x)
▶	12.4%	(/.f64 #s(literal -2 binary64) x)
▶	68.1%	(-.f64 x (fma.f64 (.f64 (.f64 x y) y) #s(literal -1/2 binary64) y))
✓	100.0%	(-.f64 x (/.f64 y (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64))))
✓	61.3%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
▶	77.3%	(-.f64 x y)
▶	30.1%	(.f64 y (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
✓	29.4%	(neg.f64 y)

Compiler

Compiled 120 to 79 computations (34.2% saved)

simplify257.0ms (3.5%)

Memory

11.3MiB live, 242.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) (*.f64 y x))
✓	cost-diff	512	(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 y x)) y x)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(.f64 (.f64 x y) y)
✓	cost-diff	0	(fma.f64 (.f64 (.f64 x y) y) #s(literal -1/2 binary64) y)
✓	cost-diff	128	(-.f64 x (fma.f64 (.f64 (.f64 x y) y) #s(literal -1/2 binary64) y))
✓	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)))
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) x)
✓	cost-diff	0	(-.f64 x y)

Rules

2 418×	`lower--.f32`
2 414×	`lower--.f64`
2 186×	`lower-fma.f32`
2 186×	`lower-*.f32`
2 180×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	79
0	33	79
1	66	79
2	135	76
3	282	76
4	581	76
5	1173	76
6	2671	76
7	6475	76
0	8124	75

Stop Event

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

Calls

Call 1

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

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

localize61.0ms (0.8%)

Memory

14.7MiB live, 146.3MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	99.6%	(/.f64 #s(literal -2 binary64) (*.f64 y x))
✓	accuracy	87.1%	(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 y x)) y x)
✓	accuracy	100.0%	(-.f64 x (fma.f64 (.f64 (.f64 x y) y) #s(literal -1/2 binary64) y))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(fma.f64 (.f64 (.f64 x y) y) #s(literal -1/2 binary64) y)
✓	accuracy	99.7%	(.f64 (.f64 x y) y)
✓	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)))
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) x)
✓	accuracy	100.0%	(-.f64 x y)

Samples

40.0ms

256×

valid

Compiler

Compiled 86 to 23 computations (73.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 18.0ms (64.2% of total)

ival-div: 4.0ms (14.3% of total)

ival-sub: 3.0ms (10.7% of total)

ival-add: 3.0ms (10.7% of total)

exact: 1.0ms (3.6% of total)

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

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

series41.0ms (0.6%)

Memory

-14.4MiB live, 23.9MiB allocated

Counts

12 → 264

Calls

Call 1

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

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

66 calls:

Time	Variable		Point	Expression
30.0ms	x	@	inf	(* y (+ (* y (* x 1/2)) -1))
2.0ms	x	@	0	(* (* x y) y)
1.0ms	y	@	0	(+ (* (/ -2 (* y x)) y) x)
0.0ms	x	@	inf	(/ -2 (* y x))
0.0ms	y	@	inf	(/ -2 (* y x))

rewrite491.0ms (6.6%)

Memory

9.0MiB live, 837.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

13 684×	`lower-fma.f32`
13 678×	`lower-fma.f64`
5 938×	`lower-*.f32`
5 928×	`lower-*.f64`
2 990×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	65
0	33	65
1	135	65
2	967	62
0	8668	61

Stop Event

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

Counts

12 → 601

Calls

Call 1

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

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

simplify241.0ms (3.3%)

Memory

5.6MiB live, 530.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 894×	`lower-fma.f64`
7 894×	`lower-fma.f32`
3 208×	`lower-*.f64`
3 208×	`lower-*.f32`
1 640×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	1384
1	285	1384
2	813	1384
3	2468	1384
4	5242	1384
0	8132	1296

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 256

Calls

Call 1

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

eval232.0ms (3.1%)

Memory: 19.7MiB live, 248.5MiB allocated
Compiler: Compiled 14 886 to 1 334 computations (91% saved)

prune93.0ms (1.3%)

Memory

-17.9MiB live, 236.3MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	855	2	857
Fresh	0	0	0
Picked	2	3	5
Done	0	4	4
Total	857	9	866

Accuracy

100.0%

Counts

866 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))) y x)
▶	30.1%	(fma.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 x y) (neg.f64 y))
▶	11.9%	(/.f64 (.f64 y #s(literal -2 binary64)) (.f64 x y))
✓	12.4%	(/.f64 #s(literal -2 binary64) x)
✓	100.0%	(-.f64 x (/.f64 y (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64))))
✓	61.3%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
✓	77.3%	(-.f64 x y)
✓	30.1%	(.f64 y (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
✓	29.4%	(neg.f64 y)

Compiler

Compiled 76 to 52 computations (31.6% saved)

simplify222.0ms (3%)

Memory

-9.5MiB live, 260.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 y)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(*.f64 y #s(literal 1/2 binary64))
✓	cost-diff	128	(fma.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 x y) (neg.f64 y))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(*.f64 y #s(literal -2 binary64))
✓	cost-diff	640	(/.f64 (.f64 y #s(literal -2 binary64)) (.f64 x y))

Rules

3 588×	`lower-*.f32`
3 582×	`lower-*.f64`
2 852×	`lower-fma.f32`
2 850×	`lower-fma.f64`
1 904×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
0	17	36
1	38	36
2	82	32
3	139	32
4	288	32
5	664	32
6	2089	32
7	3325	32
8	5464	32
9	7232	32
10	7878	32
0	8031	31

Stop Event

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

Calls

Call 1

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

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

localize35.0ms (0.5%)

Memory

12.9MiB live, 54.6MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	99.9%	(fma.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 x y) (neg.f64 y))
✓	accuracy	100.0%	(*.f64 y #s(literal -2 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	76.6%	(/.f64 (.f64 y #s(literal -2 binary64)) (.f64 x y))

Samples

19.0ms

256×

valid

Compiler

Compiled 39 to 13 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 6.0ms (55.3% of total)

ival-div: 2.0ms (18.4% of total)

ival-add: 1.0ms (9.2% of total)

ival-neg: 1.0ms (9.2% 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%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

6 → 108

Calls

Call 1

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

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

Calls

27 calls:

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

rewrite310.0ms (4.2%)

Memory

4.4MiB live, 399.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 632×	`lower-fma.f32`
4 630×	`lower-fma.f64`
4 240×	`lower-*.f32`
4 234×	`lower-*.f64`
1 970×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	27
0	17	27
1	59	27
2	375	23
3	3687	21
0	9996	21

Stop Event

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

Counts

6 → 417

Calls

Call 1

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

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

simplify182.0ms (2.5%)

Memory

-7.4MiB live, 263.6MiB allocated

Algorithm

1×	egg-herbie

Rules

3 098×	`lower-fma.f64`
3 098×	`lower-fma.f32`
3 060×	`lower-*.f64`
3 060×	`lower-*.f32`
2 554×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	434
1	79	434
2	185	434
3	352	434
4	765	434
5	1854	434
6	5721	434
0	8743	416

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

eval73.0ms (1%)

Memory: 17.8MiB live, 168.2MiB allocated
Compiler: Compiled 13 553 to 1 083 computations (92% saved)

prune69.0ms (0.9%)

Memory

-7.5MiB live, 162.6MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	579	1	580
Fresh	0	0	0
Picked	0	2	2
Done	0	7	7
Total	579	10	589

Accuracy

100.0%

Counts

589 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))) y x)
✓	30.1%	(fma.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 x y) (neg.f64 y))
✓	11.9%	(/.f64 (.f64 y #s(literal -2 binary64)) (.f64 x y))
	3.5%	(/.f64 #s(literal -2 binary64) (neg.f64 x))
✓	12.4%	(/.f64 #s(literal -2 binary64) x)
✓	100.0%	(-.f64 x (/.f64 y (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64))))
✓	61.3%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
✓	77.3%	(-.f64 x y)
✓	30.1%	(.f64 y (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
✓	29.4%	(neg.f64 y)

Compiler

Compiled 203 to 105 computations (48.3% saved)

regimes18.0ms (0.2%)

Memory

-0.7MiB live, 37.4MiB allocated

Counts

16 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	y
5.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
5.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	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)

regimes16.0ms (0.2%)

Memory

-6.1MiB live, 32.1MiB allocated

Counts

13 → 3

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	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
88.7%	3	`x`
93.3%	3	`y`
86.6%	3	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes7.0ms (0.1%)

Memory

17.6MiB live, 17.6MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
(neg.f64 y)
(-.f64 x y)
(/.f64 #s(literal -2 binary64) x)
(/.f64 #s(literal -2 binary64) (neg.f64 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	y
2.0ms	x

Results

Accuracy	Segments	Branch
77.3%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
77.3%	1	`x`
82.4%	3	`y`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes9.0ms (0.1%)

Memory

-29.9MiB live, 9.4MiB allocated

Counts

2 → 1

Calls

Call 1

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

Outputs
(-.f64 x y)

Calls

2 calls:

7.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
2.0ms	y

Results

Accuracy	Segments	Branch
77.3%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
77.3%	1	`y`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes4.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB 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
29.4%	1	`x`
29.4%	1	`y`
29.4%	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)

bsearch32.0ms (0.4%)

Memory

28.5MiB live, 66.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	7.057587175287349e+171	4.2250783500614995e+182
13.0ms	-1.4759528684020977e+51	-1.1976122546639139e+45

Samples

16.0ms

304×

valid

Compiler

Compiled 282 to 204 computations (27.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 4.0ms (41.3% of total)

ival-mult: 2.0ms (20.6% of total)

ival-sub: 1.0ms (10.3% of total)

ival-add: 1.0ms (10.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch27.0ms (0.4%)

Memory

-23.4MiB live, 51.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.6665998467387684e+237	1.1571108706898958e+241
12.0ms	-1.1345315604559779e+231	-2.6078066029781263e+229

Samples

14.0ms

240×

valid

Compiler

Compiled 196 to 149 computations (24% saved)

Precisions

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

ival-div: 3.0ms (40.3% of total)

ival-mult: 2.0ms (26.8% of total)

ival-sub: 1.0ms (13.4% of total)

ival-add: 1.0ms (13.4% of total)

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

exact: 0.0ms (0% of total)

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

simplify8.0ms (0.1%)

Memory

18.6MiB live, 18.6MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative_binary64`
18×	`sub-neg_binary64`
14×	`*-commutative_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	53
1	39	53
2	55	53
3	66	53
4	74	53
5	77	53

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 y (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -1449999999999999923708975788578566920679124226801664 binary64)) (-.f64 x (/.f64 #s(literal 2 binary64) x)) (if (<=.f64 y #s(literal 7099999999999999694655160468471933862622652764676968843765250340641493468680813583734025639831456690736453490202426491679219866559912293790769219834711955028022333827710976 binary64)) (-.f64 x y) (-.f64 x (/.f64 #s(literal 2 binary64) x))))
(if (<=.f64 y #s(literal -71999999999999997257846331210985010000251218455245986524676072792257311998098719243253321170174715803228618293633892463624522628981408917367251669509532187132821184715419635219292239548240104493205868633018997653556310827448926208 binary64)) (/.f64 #s(literal -2 binary64) x) (if (<=.f64 y #s(literal 13500000000000001090511107995389971577928124847591764276410629896917486813303478426578841400999763614760081841817250927008501346709859981041053628313125150320248887716678087792022247498798352777755309676801215550271141307476142844788342784 binary64)) (-.f64 x y) (/.f64 #s(literal -2 binary64) x)))
(-.f64 x y)
(neg.f64 y)

Outputs
(-.f64 x (/.f64 y (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -1449999999999999923708975788578566920679124226801664 binary64)) (-.f64 x (/.f64 #s(literal 2 binary64) x)) (if (<=.f64 y #s(literal 7099999999999999694655160468471933862622652764676968843765250340641493468680813583734025639831456690736453490202426491679219866559912293790769219834711955028022333827710976 binary64)) (-.f64 x y) (-.f64 x (/.f64 #s(literal 2 binary64) x))))
(if (<=.f64 y #s(literal -71999999999999997257846331210985010000251218455245986524676072792257311998098719243253321170174715803228618293633892463624522628981408917367251669509532187132821184715419635219292239548240104493205868633018997653556310827448926208 binary64)) (/.f64 #s(literal -2 binary64) x) (if (<=.f64 y #s(literal 13500000000000001090511107995389971577928124847591764276410629896917486813303478426578841400999763614760081841817250927008501346709859981041053628313125150320248887716678087792022247498798352777755309676801215550271141307476142844788342784 binary64)) (-.f64 x y) (/.f64 #s(literal -2 binary64) x)))
(-.f64 x y)
(neg.f64 y)

soundness568.0ms (7.7%)

Memory

-12.7MiB live, 464.1MiB allocated

Rules

13 558×	`lower-fma.f64`
13 558×	`lower-fma.f32`
11 904×	`lower-fma.f64`
11 904×	`lower-fma.f32`
5 754×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
0	14	35
1	63	35
2	500	35
3	6873	35
0	8527	32
0	360	2485
1	1136	2407
2	3031	2353
0	8866	2207
0	231	1053
1	738	1018
2	1942	987
3	6081	981
0	8428	934

Stop Event

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

Compiler

Compiled 105 to 61 computations (41.9% saved)

preprocess67.0ms (0.9%)

Memory: 0.8MiB live, 81.6MiB allocated
Compiler: Compiled 136 to 72 computations (47.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze21.0ms (0.3%)

sample930.0ms (12.6%)

preprocess66.0ms (0.9%)

explain121.0ms (1.6%)

eval0.0ms (0%)

prune3.0ms (0%)

simplify49.0ms (0.7%)

localize28.0ms (0.4%)

series10.0ms (0.1%)

rewrite295.0ms (4%)

simplify361.0ms (4.9%)

eval52.0ms (0.7%)

prune109.0ms (1.5%)

simplify89.0ms (1.2%)

localize71.0ms (1%)

series13.0ms (0.2%)

rewrite419.0ms (5.7%)

simplify992.0ms (13.4%)

eval215.0ms (2.9%)

prune488.0ms (6.6%)

simplify257.0ms (3.5%)

localize61.0ms (0.8%)

series41.0ms (0.6%)

rewrite491.0ms (6.6%)

simplify241.0ms (3.3%)

eval232.0ms (3.1%)

prune93.0ms (1.3%)

simplify222.0ms (3%)

localize35.0ms (0.5%)

series3.0ms (0%)

rewrite310.0ms (4.2%)

simplify182.0ms (2.5%)

eval73.0ms (1%)

prune69.0ms (0.9%)

regimes18.0ms (0.2%)

regimes16.0ms (0.2%)

regimes7.0ms (0.1%)

regimes9.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch32.0ms (0.4%)

bsearch27.0ms (0.4%)

simplify8.0ms (0.1%)

soundness568.0ms (7.7%)

preprocess67.0ms (0.9%)

end0.0ms (0%)

Profiling