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

analyze23.0ms (0.1%)

Memory

6.6MiB live, 45.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.3s (4.3%)

Memory

33.1MiB live, 1 332.8MiB allocated

Samples

1.1s	8 255×	0	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 456.0ms

ival-div: 243.0ms (53.3% of total)

ival-mult: 81.0ms (17.8% of total)

ival-add: 77.0ms (16.9% of total)

ival-sub: 37.0ms (8.1% of total)

exact: 8.0ms (1.8% of total)

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

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

adjust: 0.0ms (0% of total)

Bogosity

preprocess71.0ms (0.2%)

Memory

-17.6MiB live, 68.1MiB 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))))

explain115.0ms (0.4%)

Memory

-5.0MiB live, 231.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
256	-	256	(-2.1422877388607074e+271 -1.6066556578453754e-256)	`(*.f64 x y)`
256	-	255	(-2.1422877388607074e+271 -1.6066556578453754e-256)	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
256	-	221	(-2.1422877388607074e+271 -1.6066556578453754e-256)	`(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))`
256	-	256	(-2.1422877388607074e+271 -1.6066556578453754e-256)	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
139	-	139	(-1.2451055776492358e-256 -2.0686835055121867e-72)	`(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`y`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`	o/n	1	0
↳	`(*.f64 x y)`	overflow	36

Confusion

	Predicted +	Predicted -
+	0	0
-	1	255

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	1	0	255

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

37.0ms

512×

valid

Compiler

Compiled 149 to 49 computations (67.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-div: 7.0ms (33.6% of total)

ival-sub: 5.0ms (24% of total)

ival-add: 4.0ms (19.2% of total)

ival-mult: 4.0ms (19.2% of total)

exact: 1.0ms (4.8% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify36.0ms (0.1%)

Memory

12.8MiB live, 54.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

384×	`lower-fma.f64`
384×	`lower-fma.f32`
272×	`lower-*.f32`
270×	`lower-*.f64`
224×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize26.0ms (0.1%)

Memory

11.1MiB live, 50.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	4.2%	(*.f64 x y)
✓	accuracy	3.8%	(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
✓	accuracy	3.5%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
✓	accuracy	3.4%	(/.f64 (*.f64 x y) #s(literal 2 binary64))

Samples

16.0ms

256×

valid

Compiler

Compiled 82 to 20 computations (75.6% saved)

Precisions

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

ival-div: 3.0ms (32.7% of total)

ival-add: 2.0ms (21.8% of total)

ival-mult: 2.0ms (21.8% of total)

ival-sub: 1.0ms (10.9% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0%)

Memory

-11.6MiB live, 27.1MiB 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)>
#<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 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)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 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>
#<alt (- (* x (+ 1 (* 1/2 y))) 1)>
#<alt (- (* x (+ 1 (+ (* -1/4 (* x (pow y 2))) (* 1/2 y)))) 1)>
#<alt (- (* x (+ 1 (+ (* 1/2 y) (* x (+ (* -1/4 (pow y 2)) (* 1/8 (* x (pow y 3)))))))) 1)>
#<alt x>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (/ 4 (pow x 3))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (/ 4 (pow x 3))) (+ (* 2 (/ 1 (pow x 2))) (* 8 (/ 1 (pow x 4))))))>
#<alt x>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (pow x 3))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- 4 (* 8 (/ 1 x))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))>
#<alt (- x 1)>
#<alt (- (+ x (* 1/2 (* x y))) 1)>
#<alt (- (+ x (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x)))) 1)>
#<alt (- (+ x (* y (+ (* 1/2 x) (* y (+ (* -1/4 (pow x 2)) (* 1/8 (* (pow x 3) y))))))) 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>
#<alt (- 2 (* 4 (/ 1 y)))>
#<alt (- (+ 2 (/ 8 (pow y 2))) (* 4 (/ 1 y)))>
#<alt (- (+ 2 (/ 8 (pow y 2))) (+ (* 4 (/ 1 y)) (* 16 (/ 1 (pow y 3)))))>
#<alt 2>
#<alt (- 2 (* 4 (/ 1 y)))>
#<alt (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 y))) y)))>
#<alt (+ 2 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 16 (/ 1 y))) y))) y)))>
#<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>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt 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)>

Calls

30 calls:

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

Compiler

Compiled 287 to 204 computations (28.9% saved)

rewrite895.0ms (2.9%)

Memory

21.4MiB live, 454.5MiB 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))
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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)))
(/.f64 (.f64 (/.f64 y (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 1 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)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x y) (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 x y)) #s(literal 1/2 binary64)))))
(/.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)

simplify22.6s (72.2%)

Memory

-17.6MiB live, 382.2MiB allocated

Algorithm

1×	egg-herbie

Rules

13 308×	`lower-fma.f64`
13 308×	`lower-fma.f32`
4 944×	`lower-*.f64`
4 944×	`lower-*.f32`
2 028×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	237	936
1	754	906
2	1960	880
3	5877	876
0	8171	823

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 108

Calls

Call 1

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

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

eval93.0ms (0.3%)

Memory: -7.2MiB live, 70.8MiB allocated
Compiler: Compiled 10 741 to 1 092 computations (89.8% saved)

prune107.0ms (0.3%)

Memory

7.9MiB live, 85.5MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	375	12	387
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	376	12	388

Accuracy

100.0%

Counts

388 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.3%	(fma.f64 (/.f64 (neg.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)) x)
	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)
	24.9%	(fma.f64 x (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) #s(literal -1 binary64))
▶	62.4%	(-.f64 x (fma.f64 x (.f64 #s(literal -1/2 binary64) (.f64 y y)) y))
▶	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
	99.9%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))
	77.0%	(-.f64 x (/.f64 y #s(literal 1 binary64)))
▶	59.0%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
	99.9%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)))
▶	47.8%	(-.f64 x #s(literal 2 binary64))
	47.8%	(+.f64 x #s(literal -1 binary64))
▶	3.9%	#s(literal -1 binary64)

Compiler

Compiled 246 to 166 computations (32.5% saved)

simplify115.0ms (0.4%)

Memory

-11.3MiB live, 71.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

1 400×	`lower-fma.f32`
1 396×	`lower-fma.f64`
664×	`lower-*.f32`
658×	`lower-*.f64`
282×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	76
0	31	76
1	56	76
2	110	76
3	242	76
4	444	76
5	850	76
6	1362	76
7	1573	76
8	1686	76
9	1828	76
10	1847	76
11	1864	76
12	1873	76
13	1874	76
0	1874	75

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize66.0ms (0.2%)

Memory

27.6MiB live, 66.2MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	36.2%	(-.f64 x (fma.f64 x (.f64 #s(literal -1/2 binary64) (.f64 y y)) y))
✓	accuracy	3.3%	(*.f64 y y)
✓	accuracy	1.8%	(.f64 #s(literal -1/2 binary64) (.f64 y y))
✓	accuracy	1.7%	(fma.f64 x (.f64 #s(literal -1/2 binary64) (.f64 y y)) y)
✓	accuracy	100.0%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
✓	accuracy	3.6%	(/.f64 #s(literal 2 binary64) x)
✓	accuracy	47.5%	(-.f64 x #s(literal 2 binary64))
✓	accuracy	18.8%	(*.f64 y #s(literal 1/2 binary64))
✓	accuracy	3.7%	(/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	accuracy	3.5%	(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))
✓	accuracy	3.5%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))))

Samples

48.0ms

256×

valid

Compiler

Compiled 161 to 40 computations (75.2% saved)

Precisions

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

ival-mult: 8.0ms (42.8% of total)

ival-sub: 4.0ms (21.4% of total)

ival-div: 3.0ms (16% of total)

ival-add: 2.0ms (10.7% of total)

exact: 1.0ms (5.3% of total)

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

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

series30.0ms (0.1%)

Memory

-17.4MiB live, 21.2MiB allocated

Counts

11 → 192

Calls

Call 1

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

Outputs
#<alt -1>
#<alt (- (* x (+ 1 (* 1/2 y))) 1)>
#<alt (- (* x (+ 1 (+ (* -1/4 (* x (pow y 2))) (* 1/2 y)))) 1)>
#<alt (- (* x (+ 1 (+ (* 1/2 y) (* x (+ (* -1/4 (pow y 2)) (* 1/8 (* x (pow y 3)))))))) 1)>
#<alt x>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (/ 4 (pow x 3))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (/ 4 (pow x 3))) (+ (* 2 (/ 1 (pow x 2))) (* 8 (/ 1 (pow x 4))))))>
#<alt x>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (pow x 3))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- 4 (* 8 (/ 1 x))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))>
#<alt (- x 1)>
#<alt (- (+ x (* 1/2 (* x y))) 1)>
#<alt (- (+ x (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x)))) 1)>
#<alt (- (+ x (* y (+ (* 1/2 x) (* y (+ (* -1/4 (pow x 2)) (* 1/8 (* (pow x 3) y))))))) 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>
#<alt (- 2 (* 4 (/ 1 y)))>
#<alt (- (+ 2 (/ 8 (pow y 2))) (* 4 (/ 1 y)))>
#<alt (- (+ 2 (/ 8 (pow y 2))) (+ (* 4 (/ 1 y)) (* 16 (/ 1 (pow y 3)))))>
#<alt 2>
#<alt (- 2 (* 4 (/ 1 y)))>
#<alt (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 y))) y)))>
#<alt (+ 2 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 16 (/ 1 y))) y))) y)))>
#<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 y)>
#<alt (* y (+ 1/2 (/ 1 y)))>
#<alt (* y (+ 1/2 (/ 1 y)))>
#<alt (* y (+ 1/2 (/ 1 y)))>
#<alt (* 1/2 y)>
#<alt (* y (+ 1/2 (/ 1 y)))>
#<alt (* y (+ 1/2 (/ 1 y)))>
#<alt (* y (+ 1/2 (/ 1 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 (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt -2>
#<alt (- x 2)>
#<alt (- x 2)>
#<alt (- x 2)>
#<alt x>
#<alt (* x (- 1 (* 2 (/ 1 x))))>
#<alt (* x (- 1 (* 2 (/ 1 x))))>
#<alt (* x (- 1 (* 2 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) 1)))>
#<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 (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (* -1 y)>
#<alt (- (* x (- 1 (* -1/2 (pow y 3)))) y)>
#<alt (- (* x (- 1 (* -1/2 (pow y 3)))) y)>
#<alt (- (* x (- 1 (* -1/2 (pow y 3)))) y)>
#<alt (* x (- 1 (* -1/2 (pow y 5))))>
#<alt (* x (- (+ 1 (* -1 (/ y x))) (* -1/2 (pow y 5))))>
#<alt (* x (- (+ 1 (* -1 (/ y x))) (* -1/2 (pow y 5))))>
#<alt (* x (- (+ 1 (* -1 (/ y x))) (* -1/2 (pow y 5))))>
#<alt (* x (+ 1 (* 1/2 (pow y 3))))>
#<alt (* -1 (* x (- (/ y x) (+ 1 (* 1/2 (pow y 3))))))>
#<alt (* -1 (* x (- (/ y x) (+ 1 (* 1/2 (pow y 3))))))>
#<alt (* -1 (* x (- (/ y x) (+ 1 (* 1/2 (pow y 3))))))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* y (- (* 1/2 (* x (pow y 2))) 1)))>
#<alt (+ x (* y (- (* 1/2 (* x (pow y 2))) 1)))>
#<alt (* 1/2 (* x (pow y 3)))>
#<alt (* -1 (* (pow y 3) (+ (* -1/2 x) (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (- (/ x (pow y 3)) (+ (* -1/2 x) (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (- (/ x (pow y 3)) (+ (* -1/2 x) (/ 1 (pow y 2)))))>
#<alt (* 1/2 (* x (pow y 6)))>
#<alt (* -1 (* (pow y 6) (+ (* -1/2 x) (/ 1 (pow y 5)))))>
#<alt (* (pow y 6) (- (* -1 (/ (+ 1 (* -1 (/ x y))) (pow y 5))) (* -1/2 x)))>
#<alt (* (pow y 6) (- (* -1 (/ (+ 1 (* -1 (/ x y))) (pow y 5))) (* -1/2 x)))>
#<alt y>
#<alt (+ y (* -1/2 (* x (pow y 3))))>
#<alt (+ y (* -1/2 (* x (pow y 3))))>
#<alt (+ y (* -1/2 (* x (pow y 3))))>
#<alt (* -1/2 (* x (pow y 3)))>
#<alt (* x (+ (* -1/2 (pow y 3)) (/ y x)))>
#<alt (* x (+ (* -1/2 (pow y 3)) (/ y x)))>
#<alt (* x (+ (* -1/2 (pow y 3)) (/ y x)))>
#<alt (* -1/2 (* x (pow y 3)))>
#<alt (* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 3)))))>
#<alt (* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 3)))))>
#<alt (* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 3)))))>
#<alt y>
#<alt (* y (+ 1 (* -1/2 (* x (pow y 2)))))>
#<alt (* y (+ 1 (* -1/2 (* x (pow y 2)))))>
#<alt (* y (+ 1 (* -1/2 (* x (pow y 2)))))>
#<alt (* -1/2 (* x (pow y 3)))>
#<alt (* (pow y 3) (+ (* -1/2 x) (/ 1 (pow y 2))))>
#<alt (* (pow y 3) (+ (* -1/2 x) (/ 1 (pow y 2))))>
#<alt (* (pow y 3) (+ (* -1/2 x) (/ 1 (pow y 2))))>
#<alt (* 1/2 (* x (pow y 3)))>
#<alt (* -1 (* (pow y 3) (- (* -1/2 x) (/ 1 (pow y 2)))))>
#<alt (* -1 (* (pow y 3) (- (* -1/2 x) (/ 1 (pow y 2)))))>
#<alt (* -1 (* (pow y 3) (- (* -1/2 x) (/ 1 (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 (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>

Calls

48 calls:

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

Compiler

Compiled 468 to 346 computations (26.1% saved)

rewrite436.0ms (1.4%)

Memory

30.6MiB live, 340.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 072×	`lower-fma.f32`
7 068×	`lower-fma.f64`
4 132×	`lower-*.f32`
4 126×	`lower-*.f64`
3 966×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	64
0	30	64
1	137	64
2	1097	64
0	8313	64

Stop Event

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

Counts

11 → 355

Calls

Call 1

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

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

simplify743.0ms (2.4%)

Memory

-59.0MiB live, 528.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 652×	`lower-fma.f64`
9 652×	`lower-fma.f32`
3 656×	`lower-*.f64`
3 656×	`lower-*.f32`
2 984×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	309	1536
1	959	1500
2	2580	1382
3	6751	1380
0	8078	1292

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 173

Calls

Call 1

Inputs
-1
(- (* x (+ 1 (* 1/2 y))) 1)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 2))) (* 1/2 y)))) 1)
(- (* x (+ 1 (+ (* 1/2 y) (* x (+ (* -1/4 (pow y 2)) (* 1/8 (* x (pow y 3)))))))) 1)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (pow x 3))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (pow x 3))) (+ (* 2 (/ 1 (pow x 2))) (* 8 (/ 1 (pow x 4))))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (pow x 3))))))
(* -1 (* x (- (+ (* -1 (/ (- 4 (* 8 (/ 1 x))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(- x 1)
(- (+ x (* 1/2 (* x y))) 1)
(- (+ x (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x)))) 1)
(- (+ x (* y (+ (* 1/2 x) (* y (+ (* -1/4 (pow x 2)) (* 1/8 (* (pow x 3) y))))))) 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
(- 2 (* 4 (/ 1 y)))
(- (+ 2 (/ 8 (pow y 2))) (* 4 (/ 1 y)))
(- (+ 2 (/ 8 (pow y 2))) (+ (* 4 (/ 1 y)) (* 16 (/ 1 (pow y 3)))))
2
(- 2 (* 4 (/ 1 y)))
(+ 2 (* -1 (/ (- 4 (* 8 (/ 1 y))) y)))
(+ 2 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 16 (/ 1 y))) y))) y)))
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 y)
(* y (+ 1/2 (/ 1 y)))
(* y (+ 1/2 (/ 1 y)))
(* y (+ 1/2 (/ 1 y)))
(* 1/2 y)
(* y (+ 1/2 (/ 1 y)))
(* y (+ 1/2 (/ 1 y)))
(* y (+ 1/2 (/ 1 y)))
1
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(* 1/2 (* x y))
(* x (+ (* 1/2 y) (/ 1 x)))
(* x (+ (* 1/2 y) (/ 1 x)))
(* x (+ (* 1/2 y) (/ 1 x)))
(* 1/2 (* x y))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
y
y
y
y
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
-2
(- x 2)
(- x 2)
(- x 2)
x
(* x (- 1 (* 2 (/ 1 x))))
(* x (- 1 (* 2 (/ 1 x))))
(* x (- 1 (* 2 (/ 1 x))))
x
(* -1 (* x (- (* 2 (/ 1 x)) 1)))
(* -1 (* x (- (* 2 (/ 1 x)) 1)))
(* -1 (* x (- (* 2 (/ 1 x)) 1)))
(/ -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)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 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 3)))) y)
(- (* x (- 1 (* -1/2 (pow y 3)))) y)
(- (* x (- 1 (* -1/2 (pow y 3)))) y)
(* x (- 1 (* -1/2 (pow y 5))))
(* x (- (+ 1 (* -1 (/ y x))) (* -1/2 (pow y 5))))
(* x (- (+ 1 (* -1 (/ y x))) (* -1/2 (pow y 5))))
(* x (- (+ 1 (* -1 (/ y x))) (* -1/2 (pow y 5))))
(* x (+ 1 (* 1/2 (pow y 3))))
(* -1 (* x (- (/ y x) (+ 1 (* 1/2 (pow y 3))))))
(* -1 (* x (- (/ y x) (+ 1 (* 1/2 (pow y 3))))))
(* -1 (* x (- (/ y x) (+ 1 (* 1/2 (pow y 3))))))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x (pow y 2))) 1)))
(+ x (* y (- (* 1/2 (* x (pow y 2))) 1)))
(* 1/2 (* x (pow y 3)))
(* -1 (* (pow y 3) (+ (* -1/2 x) (/ 1 (pow y 2)))))
(* (pow y 3) (- (/ x (pow y 3)) (+ (* -1/2 x) (/ 1 (pow y 2)))))
(* (pow y 3) (- (/ x (pow y 3)) (+ (* -1/2 x) (/ 1 (pow y 2)))))
(* 1/2 (* x (pow y 6)))
(* -1 (* (pow y 6) (+ (* -1/2 x) (/ 1 (pow y 5)))))
(* (pow y 6) (- (* -1 (/ (+ 1 (* -1 (/ x y))) (pow y 5))) (* -1/2 x)))
(* (pow y 6) (- (* -1 (/ (+ 1 (* -1 (/ x y))) (pow y 5))) (* -1/2 x)))
y
(+ y (* -1/2 (* x (pow y 3))))
(+ y (* -1/2 (* x (pow y 3))))
(+ y (* -1/2 (* x (pow y 3))))
(* -1/2 (* x (pow y 3)))
(* x (+ (* -1/2 (pow y 3)) (/ y x)))
(* x (+ (* -1/2 (pow y 3)) (/ y x)))
(* x (+ (* -1/2 (pow y 3)) (/ y x)))
(* -1/2 (* x (pow y 3)))
(* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 3)))))
(* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 3)))))
(* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 3)))))
y
(* y (+ 1 (* -1/2 (* x (pow y 2)))))
(* y (+ 1 (* -1/2 (* x (pow y 2)))))
(* y (+ 1 (* -1/2 (* x (pow y 2)))))
(* -1/2 (* x (pow y 3)))
(* (pow y 3) (+ (* -1/2 x) (/ 1 (pow y 2))))
(* (pow y 3) (+ (* -1/2 x) (/ 1 (pow y 2))))
(* (pow y 3) (+ (* -1/2 x) (/ 1 (pow y 2))))
(* 1/2 (* x (pow y 3)))
(* -1 (* (pow y 3) (- (* -1/2 x) (/ 1 (pow y 2)))))
(* -1 (* (pow y 3) (- (* -1/2 x) (/ 1 (pow y 2)))))
(* -1 (* (pow y 3) (- (* -1/2 x) (/ 1 (pow y 2)))))
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
y
y
y
y
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)

Outputs
-1
#s(literal -1 binary64)
(- (* x (+ 1 (* 1/2 y))) 1)
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) #s(literal -1 binary64))
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 2))) (* 1/2 y)))) 1)
(fma.f64 x (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(- (* x (+ 1 (+ (* 1/2 y) (* x (+ (* -1/4 (pow y 2)) (* 1/8 (* x (pow y 3)))))))) 1)
(fma.f64 x (fma.f64 x (.f64 (.f64 y y) (fma.f64 y (*.f64 x #s(literal 1/8 binary64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) #s(literal -1 binary64))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(* x (- (+ 1 (/ 4 (pow x 3))) (* 2 (/ 1 (pow x 2)))))
(+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 x (/.f64 #s(literal -2 binary64) x)))
(* x (- (+ 1 (/ 4 (pow x 3))) (+ (* 2 (/ 1 (pow x 2))) (* 8 (/ 1 (pow x 4))))))
(fma.f64 x (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) x)) (.f64 x (.f64 x x))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x)
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (pow x 3))))))
(+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 x (/.f64 #s(literal -2 binary64) x)))
(* -1 (* x (- (+ (* -1 (/ (- 4 (* 8 (/ 1 x))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(+.f64 (+.f64 x (/.f64 #s(literal -2 binary64) x)) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) x) #s(literal -4 binary64)) (*.f64 x x))))
(- x 1)
(+.f64 #s(literal -1 binary64) x)
(- (+ x (* 1/2 (* x y))) 1)
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) #s(literal -1 binary64))
(- (+ x (* 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))) (+.f64 #s(literal -1 binary64) x))
(- (+ x (* y (+ (* 1/2 x) (* y (+ (* -1/4 (pow x 2)) (* 1/8 (* (pow x 3) y))))))) 1)
(fma.f64 y (fma.f64 y (fma.f64 x (.f64 x #s(literal -1/4 binary64)) (.f64 y (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))))) (.f64 x #s(literal 1/2 binary64))) (+.f64 #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 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 (/.f64 #s(literal 4 binary64) (.f64 x y)) #s(literal -2 binary64)) x) (/.f64 #s(literal -8 binary64) (.f64 y (.f64 y (.f64 x (*.f64 x x)))))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(+.f64 (+.f64 x (/.f64 #s(literal 16 binary64) (.f64 (.f64 y y) (.f64 y (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x y)) #s(literal -2 binary64)) x) (/.f64 #s(literal -8 binary64) (.f64 y (.f64 y (.f64 x (*.f64 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 #s(literal -2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) (.f64 x x))) (/.f64 #s(literal -4 binary64) (.f64 x 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 #s(literal -2 binary64) x)) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (.f64 y (.f64 y (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (/.f64 #s(literal -8 binary64) (.f64 y (.f64 x (*.f64 x x)))))) y))
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 (.f64 y y) (fma.f64 y (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 x #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 y (fma.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 x (.f64 x #s(literal 1/4 binary64)))) (*.f64 x #s(literal -1/2 binary64))) y)
2
#s(literal 2 binary64)
(- 2 (* 4 (/ 1 y)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) y))
(- (+ 2 (/ 8 (pow y 2))) (* 4 (/ 1 y)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) y) #s(literal -4 binary64)) y))
(- (+ 2 (/ 8 (pow y 2))) (+ (* 4 (/ 1 y)) (* 16 (/ 1 (pow y 3)))))
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) y) #s(literal -4 binary64)) y)) (/.f64 #s(literal -16 binary64) (.f64 y (.f64 y y))))
2
#s(literal 2 binary64)
(- 2 (* 4 (/ 1 y)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) y))
(+ 2 (* -1 (/ (- 4 (* 8 (/ 1 y))) y)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) y) #s(literal -4 binary64)) y))
(+ 2 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 16 (/ 1 y))) y))) y)))
(+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) y) #s(literal -8 binary64)) y)) y))
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 y (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) y)
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(fma.f64 x (fma.f64 x (.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 x #s(literal -1/8 binary64))) (.f64 (.f64 y y) (fma.f64 y (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))) y)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x y))) 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 (.f64 y y) (.f64 x x)))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/.f64 (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (.f64 x y))) (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) (.f64 x x)))) (/.f64 #s(literal -16 binary64) (.f64 (.f64 y y) (.f64 y (.f64 x (*.f64 x x)))))) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x y))) x)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 y y)))) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 y y)) (/.f64 #s(literal -16 binary64) (.f64 x (.f64 y (.f64 y y))))) (.f64 x x)) (/.f64 #s(literal -4 binary64) (.f64 x y)))) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x y)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(+ 1 (* 1/2 (* x y)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(+ 1 (* 1/2 (* x y)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* y (+ 1/2 (/ 1 y)))
(fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))
(* y (+ 1/2 (/ 1 y)))
(fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))
(* y (+ 1/2 (/ 1 y)))
(fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* y (+ 1/2 (/ 1 y)))
(fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))
(* y (+ 1/2 (/ 1 y)))
(fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))
(* y (+ 1/2 (/ 1 y)))
(fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x y)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(+ 1 (* 1/2 (* x y)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(+ 1 (* 1/2 (* x y)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(* 1/2 (* x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(* x (+ (* 1/2 y) (/ 1 x)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(* x (+ (* 1/2 y) (/ 1 x)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(* x (+ (* 1/2 y) (/ 1 x)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(* 1/2 (* x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
y
y
y
y
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
-2
#s(literal -2 binary64)
(- x 2)
(+.f64 x #s(literal -2 binary64))
(- x 2)
(+.f64 x #s(literal -2 binary64))
(- x 2)
(+.f64 x #s(literal -2 binary64))
x
(* x (- 1 (* 2 (/ 1 x))))
(fma.f64 x (/.f64 #s(literal -2 binary64) x) x)
(* x (- 1 (* 2 (/ 1 x))))
(fma.f64 x (/.f64 #s(literal -2 binary64) x) x)
(* x (- 1 (* 2 (/ 1 x))))
(fma.f64 x (/.f64 #s(literal -2 binary64) x) x)
x
(* -1 (* x (- (* 2 (/ 1 x)) 1)))
(fma.f64 x (/.f64 #s(literal -2 binary64) x) x)
(* -1 (* x (- (* 2 (/ 1 x)) 1)))
(fma.f64 x (/.f64 #s(literal -2 binary64) x) x)
(* -1 (* x (- (* 2 (/ 1 x)) 1)))
(fma.f64 x (/.f64 #s(literal -2 binary64) x) 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))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 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)
(- (* x (- 1 (* -1/2 (pow y 3)))) y)
(fma.f64 y (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal -1 binary64)) x)
(- (* x (- 1 (* -1/2 (pow y 3)))) y)
(fma.f64 y (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal -1 binary64)) x)
(- (* x (- 1 (* -1/2 (pow y 3)))) y)
(fma.f64 y (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal -1 binary64)) x)
(* x (- 1 (* -1/2 (pow y 5))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 5 binary64)) #s(literal 1 binary64)))
(* x (- (+ 1 (* -1 (/ y x))) (* -1/2 (pow y 5))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 5 binary64))) (-.f64 x y))
(* x (- (+ 1 (* -1 (/ y x))) (* -1/2 (pow y 5))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 5 binary64))) (-.f64 x y))
(* x (- (+ 1 (* -1 (/ y x))) (* -1/2 (pow y 5))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 5 binary64))) (-.f64 x y))
(* x (+ 1 (* 1/2 (pow y 3))))
(fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 y (*.f64 y y))) x)
(* -1 (* x (- (/ y x) (+ 1 (* 1/2 (pow y 3))))))
(fma.f64 y (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal -1 binary64)) x)
(* -1 (* x (- (/ y x) (+ 1 (* 1/2 (pow y 3))))))
(fma.f64 y (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal -1 binary64)) x)
(* -1 (* x (- (/ y x) (+ 1 (* 1/2 (pow y 3))))))
(fma.f64 y (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal -1 binary64)) x)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x (pow y 2))) 1)))
(fma.f64 y (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal -1 binary64)) x)
(+ x (* y (- (* 1/2 (* x (pow y 2))) 1)))
(fma.f64 y (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal -1 binary64)) x)
(* 1/2 (* x (pow y 3)))
(.f64 #s(literal 1/2 binary64) (.f64 x (.f64 y (.f64 y y))))
(* -1 (* (pow y 3) (+ (* -1/2 x) (/ 1 (pow y 2)))))
(.f64 y (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal -1 binary64)))
(* (pow y 3) (- (/ x (pow y 3)) (+ (* -1/2 x) (/ 1 (pow y 2)))))
(fma.f64 (.f64 y (.f64 y y)) (fma.f64 x #s(literal 1/2 binary64) (/.f64 x (.f64 y (.f64 y y)))) (neg.f64 y))
(* (pow y 3) (- (/ x (pow y 3)) (+ (* -1/2 x) (/ 1 (pow y 2)))))
(fma.f64 (.f64 y (.f64 y y)) (fma.f64 x #s(literal 1/2 binary64) (/.f64 x (.f64 y (.f64 y y)))) (neg.f64 y))
(* 1/2 (* x (pow y 6)))
(.f64 x (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 6 binary64))))
(* -1 (* (pow y 6) (+ (* -1/2 x) (/ 1 (pow y 5)))))
(.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))
(* (pow y 6) (- (* -1 (/ (+ 1 (* -1 (/ x y))) (pow y 5))) (* -1/2 x)))
(neg.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 y #s(literal 6 binary64))))
(* (pow y 6) (- (* -1 (/ (+ 1 (* -1 (/ x y))) (pow y 5))) (* -1/2 x)))
(neg.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 y #s(literal 6 binary64))))
y
(+ y (* -1/2 (* x (pow y 3))))
(fma.f64 y (.f64 x (.f64 y (*.f64 y #s(literal -1/2 binary64)))) y)
(+ y (* -1/2 (* x (pow y 3))))
(fma.f64 y (.f64 x (.f64 y (*.f64 y #s(literal -1/2 binary64)))) y)
(+ y (* -1/2 (* x (pow y 3))))
(fma.f64 y (.f64 x (.f64 y (*.f64 y #s(literal -1/2 binary64)))) y)
(* -1/2 (* x (pow y 3)))
(.f64 y (.f64 x (.f64 y (.f64 y #s(literal -1/2 binary64)))))
(* x (+ (* -1/2 (pow y 3)) (/ y x)))
(fma.f64 y (.f64 x (.f64 y (*.f64 y #s(literal -1/2 binary64)))) y)
(* x (+ (* -1/2 (pow y 3)) (/ y x)))
(fma.f64 y (.f64 x (.f64 y (*.f64 y #s(literal -1/2 binary64)))) y)
(* x (+ (* -1/2 (pow y 3)) (/ y x)))
(fma.f64 y (.f64 x (.f64 y (*.f64 y #s(literal -1/2 binary64)))) y)
(* -1/2 (* x (pow y 3)))
(.f64 y (.f64 x (.f64 y (.f64 y #s(literal -1/2 binary64)))))
(* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 3)))))
(fma.f64 y (.f64 x (.f64 y (*.f64 y #s(literal -1/2 binary64)))) y)
(* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 3)))))
(fma.f64 y (.f64 x (.f64 y (*.f64 y #s(literal -1/2 binary64)))) y)
(* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 3)))))
(fma.f64 y (.f64 x (.f64 y (*.f64 y #s(literal -1/2 binary64)))) y)
y
(* y (+ 1 (* -1/2 (* x (pow y 2)))))
(fma.f64 y (.f64 x (.f64 y (*.f64 y #s(literal -1/2 binary64)))) y)
(* y (+ 1 (* -1/2 (* x (pow y 2)))))
(fma.f64 y (.f64 x (.f64 y (*.f64 y #s(literal -1/2 binary64)))) y)
(* y (+ 1 (* -1/2 (* x (pow y 2)))))
(fma.f64 y (.f64 x (.f64 y (*.f64 y #s(literal -1/2 binary64)))) y)
(* -1/2 (* x (pow y 3)))
(.f64 y (.f64 x (.f64 y (.f64 y #s(literal -1/2 binary64)))))
(* (pow y 3) (+ (* -1/2 x) (/ 1 (pow y 2))))
(fma.f64 y (.f64 x (.f64 y (*.f64 y #s(literal -1/2 binary64)))) y)
(* (pow y 3) (+ (* -1/2 x) (/ 1 (pow y 2))))
(fma.f64 y (.f64 x (.f64 y (*.f64 y #s(literal -1/2 binary64)))) y)
(* (pow y 3) (+ (* -1/2 x) (/ 1 (pow y 2))))
(fma.f64 y (.f64 x (.f64 y (*.f64 y #s(literal -1/2 binary64)))) y)
(* 1/2 (* x (pow y 3)))
(.f64 #s(literal 1/2 binary64) (.f64 x (.f64 y (.f64 y y))))
(* -1 (* (pow y 3) (- (* -1/2 x) (/ 1 (pow y 2)))))
(fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 y (*.f64 y y))) y)
(* -1 (* (pow y 3) (- (* -1/2 x) (/ 1 (pow y 2)))))
(fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 y (*.f64 y y))) y)
(* -1 (* (pow y 3) (- (* -1/2 x) (/ 1 (pow y 2)))))
(fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 y (*.f64 y y))) y)
(* -1/2 (pow y 2))
(.f64 y (.f64 y #s(literal -1/2 binary64)))
(* -1/2 (pow y 2))
(.f64 y (.f64 y #s(literal -1/2 binary64)))
(* -1/2 (pow y 2))
(.f64 y (.f64 y #s(literal -1/2 binary64)))
(* -1/2 (pow y 2))
(.f64 y (.f64 y #s(literal -1/2 binary64)))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
y
y
y
y
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)

eval169.0ms (0.5%)

Memory: 19.3MiB live, 136.4MiB allocated
Compiler: Compiled 13 284 to 1 251 computations (90.6% saved)

prune262.0ms (0.8%)

Memory

23.3MiB live, 140.6MiB allocated

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	523	5	528
Fresh	4	3	7
Picked	2	3	5
Done	0	0	0
Total	529	11	540

Accuracy

100.0%

Counts

540 → 11

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)
▶	12.2%	(/.f64 #s(literal -2 binary64) x)
	65.1%	(-.f64 x (fma.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) y y))
✓	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
▶	99.9%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))
✓	59.0%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
	77.0%	(-.f64 x y)
▶	47.8%	(+.f64 x #s(literal -1 binary64))
	30.7%	(neg.f64 y)
✓	3.9%	#s(literal -1 binary64)
▶	4.0%	#s(literal -2 binary64)

Compiler

Compiled 142 to 100 computations (29.6% saved)

simplify182.0ms (0.6%)

Memory

-19.7MiB live, 63.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))
✓	cost-diff	0	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))
✓	cost-diff	768	(/.f64 x (/.f64 #s(literal 2 binary64) y))
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) x)
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	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)

Rules

448×	`lower-fma.f32`
444×	`lower-fma.f64`
320×	`lower-*.f32`
318×	`lower-*.f64`
152×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	83
0	31	83
1	48	81
2	68	81
3	127	81
4	197	81
5	355	81
6	541	81
7	678	81
8	890	81
9	969	81
10	982	81
11	985	81
12	986	81
0	986	79

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize142.0ms (0.5%)

Memory

-12.2MiB live, 104.7MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	3.5%	(+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))
✓	accuracy	3.4%	(/.f64 #s(literal 2 binary64) y)
✓	accuracy	3.2%	(/.f64 x (/.f64 #s(literal 2 binary64) y))
✓	accuracy	2.8%	(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))
✓	accuracy	1.6%	(/.f64 #s(literal -2 binary64) x)
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	11.8%	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)))
✓	accuracy	3.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))) y x)
✓	accuracy	3.6%	(fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))
✓	accuracy	2.2%	(*.f64 x y)

Samples

53.0ms

256×

valid

Compiler

Compiled 174 to 40 computations (77% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 26.0ms (63.4% of total)

ival-div: 8.0ms (19.5% of total)

ival-add: 5.0ms (12.2% of total)

ival-sub: 1.0ms (2.4% of total)

exact: 1.0ms (2.4% of total)

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

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

series12.0ms (0%)

Memory

21.5MiB live, 21.5MiB allocated

Counts

11 → 228

Calls

Call 1

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

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

Calls

57 calls:

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

Compiler

Compiled 534 to 382 computations (28.5% saved)

rewrite869.0ms (2.8%)

Memory

3.9MiB live, 553.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 400×	`lower-fma.f32`
6 396×	`lower-fma.f64`
3 580×	`lower-*.f32`
3 578×	`lower-*.f64`
3 390×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	69
0	31	69
1	136	67
2	1009	67
0	9468	65

Stop Event

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

Counts

11 → 571

Calls

Call 1

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

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

simplify354.0ms (1.1%)

Memory

-8.4MiB live, 879.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 846×	`lower-fma.f64`
10 846×	`lower-fma.f32`
3 912×	`lower-*.f64`
3 912×	`lower-*.f32`
2 826×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	337	1855
1	1045	1776
2	2625	1721
3	7139	1710
0	8214	1605

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 212

Calls

Call 1

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

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

eval100.0ms (0.3%)

Memory: 0.7MiB live, 311.0MiB allocated
Compiler: Compiled 16 974 to 1 789 computations (89.5% saved)

prune102.0ms (0.3%)

Memory

29.0MiB live, 227.9MiB allocated

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	781	2	783
Fresh	0	3	3
Picked	0	5	5
Done	0	3	3
Total	781	13	794

Accuracy

100.0%

Counts

794 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.1%	(fma.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) y x)
✓	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)
▶	58.9%	(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x y)) y x)
✓	12.2%	(/.f64 #s(literal -2 binary64) x)
▶	65.1%	(-.f64 x (fma.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) y y))
✓	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
✓	99.9%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))
✓	59.0%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
▶	77.0%	(-.f64 x y)
✓	47.8%	(+.f64 x #s(literal -1 binary64))
▶	30.7%	(neg.f64 y)
✓	3.9%	#s(literal -1 binary64)
✓	4.0%	#s(literal -2 binary64)

Compiler

Compiled 145 to 97 computations (33.1% saved)

simplify166.0ms (0.5%)

Memory

-9.7MiB live, 237.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

2 486×	`lower-fma.f32`
2 478×	`lower-fma.f64`
2 298×	`lower-*.f32`
2 290×	`lower-*.f64`
1 678×	`distribute-frac-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	78
0	34	77
1	65	77
2	135	74
3	309	74
4	730	74
5	1451	74
6	3008	74
7	6558	74
0	8076	74

Stop Event

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

Calls

Call 1

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

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

localize67.0ms (0.2%)

Memory

-3.7MiB live, 200.1MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	13.1%	(*.f64 x y)
✓	accuracy	2.7%	(/.f64 #s(literal -2 binary64) (*.f64 x y))
✓	accuracy	2.2%	(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x y)) y x)
✓	accuracy	36.2%	(-.f64 x (fma.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) y y))
✓	accuracy	3.6%	(*.f64 x #s(literal -1/2 binary64))
✓	accuracy	3.4%	(.f64 y (.f64 x #s(literal -1/2 binary64)))
✓	accuracy	1.6%	(fma.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) y y)
✓	accuracy	3.4%	(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓	accuracy	2.9%	(fma.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) y x)
✓	accuracy	2.9%	(*.f64 y #s(literal 1/2 binary64))
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	2.2%	(-.f64 x y)

Samples

45.0ms

256×

valid

Compiler

Compiled 166 to 42 computations (74.7% saved)

Precisions

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

ival-mult: 19.0ms (63.2% of total)

ival-add: 5.0ms (16.6% of total)

ival-sub: 3.0ms (10% of total)

ival-div: 2.0ms (6.7% of total)

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

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

exact: 0.0ms (0% of total)

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

series22.0ms (0.1%)

Memory

-11.8MiB live, 66.1MiB allocated

Counts

12 → 252

Calls

Call 1

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

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 (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))>
#<alt (+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))>
#<alt (+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))>
#<alt (* x (+ 1 (* 1/2 y)))>
#<alt (* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 y))))>
#<alt (* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 y))))>
#<alt (* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 y))))>
#<alt (* -1 (* x (- (* -1/2 y) 1)))>
#<alt (* -1 (* x (- (+ (* -1/2 y) (/ y x)) 1)))>
#<alt (* -1 (* x (- (+ (* -1/2 y) (/ y x)) 1)))>
#<alt (* -1 (* x (- (+ (* -1/2 y) (/ y x)) 1)))>
#<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 3)))>
#<alt (* (pow y 3) (- (* 1/2 x) (/ 1 (pow y 2))))>
#<alt (* (pow y 3) (- (+ (* 1/2 x) (/ x (pow y 3))) (/ 1 (pow y 2))))>
#<alt (* (pow y 3) (- (+ (* 1/2 x) (/ x (pow y 3))) (/ 1 (pow y 2))))>
#<alt (* 1/2 (* x (pow y 2)))>
#<alt (* (pow y 2) (- (* 1/2 x) (/ 1 y)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))>
#<alt -1>
#<alt (- (* 1/2 (* x y)) 1)>
#<alt (- (* 1/2 (* x y)) 1)>
#<alt (- (* 1/2 (* x y)) 1)>
#<alt (* 1/2 x)>
#<alt (* x (- 1/2 (/ 1 x)))>
#<alt (* x (- 1/2 (/ 1 x)))>
#<alt (* x (- 1/2 (/ 1 x)))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (/ 1 x) 1/2)))>
#<alt (* -1 (* x (- (/ 1 x) 1/2)))>
#<alt (* -1 (* x (- (/ 1 x) 1/2)))>
#<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 (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (- (* x (- 1 (* -1/2 (pow y 3)))) y)>
#<alt (- (* x (- 1 (* -1/2 (pow y 3)))) y)>
#<alt (- (* x (- 1 (* -1/2 (pow y 3)))) y)>
#<alt (* x (- 1 (* -1/2 (pow y 5))))>
#<alt (* x (- (+ 1 (* -1 (/ y x))) (* -1/2 (pow y 5))))>
#<alt (* x (- (+ 1 (* -1 (/ y x))) (* -1/2 (pow y 5))))>
#<alt (* x (- (+ 1 (* -1 (/ y x))) (* -1/2 (pow y 5))))>
#<alt (* x (+ 1 (* 1/2 (pow y 3))))>
#<alt (* -1 (* x (- (/ y x) (+ 1 (* 1/2 (pow y 3))))))>
#<alt (* -1 (* x (- (/ y x) (+ 1 (* 1/2 (pow y 3))))))>
#<alt (* -1 (* x (- (/ y x) (+ 1 (* 1/2 (pow y 3))))))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* y (- (* 1/2 (* x (pow y 2))) 1)))>
#<alt (+ x (* y (- (* 1/2 (* x (pow y 2))) 1)))>
#<alt (* 1/2 (* x (pow y 3)))>
#<alt (* -1 (* (pow y 3) (+ (* -1/2 x) (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (- (/ x (pow y 3)) (+ (* -1/2 x) (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (- (/ x (pow y 3)) (+ (* -1/2 x) (/ 1 (pow y 2)))))>
#<alt (* 1/2 (* x (pow y 6)))>
#<alt (* -1 (* (pow y 6) (+ (* -1/2 x) (/ 1 (pow y 5)))))>
#<alt (* (pow y 6) (- (* -1 (/ (+ 1 (* -1 (/ x y))) (pow y 5))) (* -1/2 x)))>
#<alt (* (pow y 6) (- (* -1 (/ (+ 1 (* -1 (/ x y))) (pow y 5))) (* -1/2 x)))>
#<alt y>
#<alt (* y (+ 1 (* -1/2 (* x (pow y 2)))))>
#<alt (* y (+ 1 (* -1/2 (* x (pow y 2)))))>
#<alt (* y (+ 1 (* -1/2 (* x (pow y 2)))))>
#<alt (* -1/2 (pow y 3))>
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/2))>
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/2))>
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/2))>
#<alt (* 1/2 (pow y 3))>
#<alt (* (pow y 3) (+ 1/2 (/ 1 (pow y 2))))>
#<alt (* (pow y 3) (+ 1/2 (/ 1 (pow y 2))))>
#<alt (* (pow y 3) (+ 1/2 (/ 1 (pow y 2))))>
#<alt y>
#<alt (+ y (* -1/2 (* x (pow y 3))))>
#<alt (+ y (* -1/2 (* x (pow y 3))))>
#<alt (+ y (* -1/2 (* x (pow y 3))))>
#<alt (* -1/2 (* x (pow y 3)))>
#<alt (* x (+ (* -1/2 (pow y 3)) (/ y x)))>
#<alt (* x (+ (* -1/2 (pow y 3)) (/ y x)))>
#<alt (* x (+ (* -1/2 (pow y 3)) (/ y x)))>
#<alt (* -1/2 (* x (pow y 3)))>
#<alt (* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 3)))))>
#<alt (* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 3)))))>
#<alt (* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 3)))))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 (* 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)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -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 (- 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 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)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt 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)>

Calls

63 calls:

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

Compiler

Compiled 544 to 395 computations (27.4% saved)

rewrite412.0ms (1.3%)

Memory

25.6MiB live, 692.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

13 352×	`lower-fma.f32`
13 344×	`lower-fma.f64`
5 290×	`lower-*.f32`
5 282×	`lower-*.f64`
3 428×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	65
0	34	64
1	137	64
2	1044	61
0	9516	61

Stop Event

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

Counts

12 → 654

Calls

Call 1

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

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

simplify369.0ms (1.2%)

Memory

-8.3MiB live, 508.7MiB allocated

Algorithm

1×	egg-herbie

Rules

12 810×	`lower-fma.f64`
12 810×	`lower-fma.f32`
3 938×	`lower-*.f64`
3 938×	`lower-*.f32`
1 582×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	149	1506
1	419	1464
2	1174	1320
3	3100	1259
4	6073	1259
0	8189	1174

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 227

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)))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(* x (+ 1 (* 1/2 y)))
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 y))))
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 y))))
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 y))))
(* -1 (* x (- (* -1/2 y) 1)))
(* -1 (* x (- (+ (* -1/2 y) (/ y x)) 1)))
(* -1 (* x (- (+ (* -1/2 y) (/ y x)) 1)))
(* -1 (* x (- (+ (* -1/2 y) (/ y x)) 1)))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(* 1/2 (* x (pow y 3)))
(* (pow y 3) (- (* 1/2 x) (/ 1 (pow y 2))))
(* (pow y 3) (- (+ (* 1/2 x) (/ x (pow y 3))) (/ 1 (pow y 2))))
(* (pow y 3) (- (+ (* 1/2 x) (/ x (pow y 3))) (/ 1 (pow y 2))))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
-1
(- (* 1/2 (* x y)) 1)
(- (* 1/2 (* x y)) 1)
(- (* 1/2 (* x y)) 1)
(* 1/2 x)
(* x (- 1/2 (/ 1 x)))
(* x (- 1/2 (/ 1 x)))
(* x (- 1/2 (/ 1 x)))
(* 1/2 x)
(* -1 (* x (- (/ 1 x) 1/2)))
(* -1 (* x (- (/ 1 x) 1/2)))
(* -1 (* x (- (/ 1 x) 1/2)))
-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))))
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
y
y
y
y
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(- (* x (- 1 (* -1/2 (pow y 3)))) y)
(- (* x (- 1 (* -1/2 (pow y 3)))) y)
(- (* x (- 1 (* -1/2 (pow y 3)))) y)
(* x (- 1 (* -1/2 (pow y 5))))
(* x (- (+ 1 (* -1 (/ y x))) (* -1/2 (pow y 5))))
(* x (- (+ 1 (* -1 (/ y x))) (* -1/2 (pow y 5))))
(* x (- (+ 1 (* -1 (/ y x))) (* -1/2 (pow y 5))))
(* x (+ 1 (* 1/2 (pow y 3))))
(* -1 (* x (- (/ y x) (+ 1 (* 1/2 (pow y 3))))))
(* -1 (* x (- (/ y x) (+ 1 (* 1/2 (pow y 3))))))
(* -1 (* x (- (/ y x) (+ 1 (* 1/2 (pow y 3))))))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x (pow y 2))) 1)))
(+ x (* y (- (* 1/2 (* x (pow y 2))) 1)))
(* 1/2 (* x (pow y 3)))
(* -1 (* (pow y 3) (+ (* -1/2 x) (/ 1 (pow y 2)))))
(* (pow y 3) (- (/ x (pow y 3)) (+ (* -1/2 x) (/ 1 (pow y 2)))))
(* (pow y 3) (- (/ x (pow y 3)) (+ (* -1/2 x) (/ 1 (pow y 2)))))
(* 1/2 (* x (pow y 6)))
(* -1 (* (pow y 6) (+ (* -1/2 x) (/ 1 (pow y 5)))))
(* (pow y 6) (- (* -1 (/ (+ 1 (* -1 (/ x y))) (pow y 5))) (* -1/2 x)))
(* (pow y 6) (- (* -1 (/ (+ 1 (* -1 (/ x y))) (pow y 5))) (* -1/2 x)))
y
(* y (+ 1 (* -1/2 (* x (pow y 2)))))
(* y (+ 1 (* -1/2 (* x (pow y 2)))))
(* y (+ 1 (* -1/2 (* x (pow y 2)))))
(* -1/2 (pow y 3))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/2))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/2))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/2))
(* 1/2 (pow y 3))
(* (pow y 3) (+ 1/2 (/ 1 (pow y 2))))
(* (pow y 3) (+ 1/2 (/ 1 (pow y 2))))
(* (pow y 3) (+ 1/2 (/ 1 (pow y 2))))
y
(+ y (* -1/2 (* x (pow y 3))))
(+ y (* -1/2 (* x (pow y 3))))
(+ y (* -1/2 (* x (pow y 3))))
(* -1/2 (* x (pow y 3)))
(* x (+ (* -1/2 (pow y 3)) (/ y x)))
(* x (+ (* -1/2 (pow y 3)) (/ y x)))
(* x (+ (* -1/2 (pow y 3)) (/ y x)))
(* -1/2 (* x (pow y 3)))
(* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 3)))))
(* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 3)))))
(* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 3)))))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 (* 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)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
x
x
x
x
(* -1 x)
(* -1 x)
(* -1 x)
(* -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)))
(- 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 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)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(* x y)
(* x y)
(* x y)
(* x y)
x
x
x
x
x
x
x
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)

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)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(* x (+ 1 (* 1/2 y)))
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) x)
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 y))))
(fma.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x)
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 y))))
(fma.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x)
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 y))))
(fma.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x)
(* -1 (* x (- (* -1/2 y) 1)))
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) x)
(* -1 (* x (- (+ (* -1/2 y) (/ y x)) 1)))
(fma.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x)
(* -1 (* x (- (+ (* -1/2 y) (/ y x)) 1)))
(fma.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x)
(* -1 (* x (- (+ (* -1/2 y) (/ y x)) 1)))
(fma.f64 y (fma.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 3)))
(.f64 y (.f64 y (.f64 y (.f64 x #s(literal 1/2 binary64)))))
(* (pow y 3) (- (* 1/2 x) (/ 1 (pow y 2))))
(.f64 y (fma.f64 y (.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(* (pow y 3) (- (+ (* 1/2 x) (/ x (pow y 3))) (/ 1 (pow y 2))))
(fma.f64 y (fma.f64 y (.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) x)
(* (pow y 3) (- (+ (* 1/2 x) (/ x (pow y 3))) (/ 1 (pow y 2))))
(fma.f64 y (fma.f64 y (.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))))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(.f64 y (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
-1
#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)
(*.f64 x #s(literal 1/2 binary64))
(* x (- 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(* x (- 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(* x (- 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1 (* x (- (/ 1 x) 1/2)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1/2)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1/2)))
(fma.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))
(* 1/2 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))
y
y
y
y
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(- (* x (- 1 (* -1/2 (pow y 3)))) y)
(fma.f64 y (fma.f64 y (.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) x)
(- (* x (- 1 (* -1/2 (pow y 3)))) y)
(fma.f64 y (fma.f64 y (.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) x)
(- (* x (- 1 (* -1/2 (pow y 3)))) y)
(fma.f64 y (fma.f64 y (.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) x)
(* x (- 1 (* -1/2 (pow y 5))))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 y #s(literal 5 binary64)) x)
(* x (- (+ 1 (* -1 (/ y x))) (* -1/2 (pow y 5))))
(-.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 y #s(literal 5 binary64)) x) y)
(* x (- (+ 1 (* -1 (/ y x))) (* -1/2 (pow y 5))))
(-.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 y #s(literal 5 binary64)) x) y)
(* x (- (+ 1 (* -1 (/ y x))) (* -1/2 (pow y 5))))
(-.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 y #s(literal 5 binary64)) x) y)
(* x (+ 1 (* 1/2 (pow y 3))))
(fma.f64 y (.f64 y (.f64 y (*.f64 x #s(literal 1/2 binary64)))) x)
(* -1 (* x (- (/ y x) (+ 1 (* 1/2 (pow y 3))))))
(fma.f64 y (fma.f64 y (.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) x)
(* -1 (* x (- (/ y x) (+ 1 (* 1/2 (pow y 3))))))
(fma.f64 y (fma.f64 y (.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) x)
(* -1 (* x (- (/ y x) (+ 1 (* 1/2 (pow y 3))))))
(fma.f64 y (fma.f64 y (.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 (pow y 2))) 1)))
(fma.f64 y (fma.f64 y (.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) x)
(+ x (* y (- (* 1/2 (* x (pow y 2))) 1)))
(fma.f64 y (fma.f64 y (.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) x)
(* 1/2 (* x (pow y 3)))
(.f64 y (.f64 y (.f64 y (.f64 x #s(literal 1/2 binary64)))))
(* -1 (* (pow y 3) (+ (* -1/2 x) (/ 1 (pow y 2)))))
(.f64 y (fma.f64 y (.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(* (pow y 3) (- (/ x (pow y 3)) (+ (* -1/2 x) (/ 1 (pow y 2)))))
(fma.f64 y (fma.f64 y (.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) x)
(* (pow y 3) (- (/ x (pow y 3)) (+ (* -1/2 x) (/ 1 (pow y 2)))))
(fma.f64 y (fma.f64 y (.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) x)
(* 1/2 (* x (pow y 6)))
(.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 y y) (.f64 (.f64 y (*.f64 y y)) y)))
(* -1 (* (pow y 6) (+ (* -1/2 x) (/ 1 (pow y 5)))))
(.f64 (.f64 (.f64 y y) (.f64 (.f64 y (.f64 y y)) y)) (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 5 binary64)))))
(* (pow y 6) (- (* -1 (/ (+ 1 (* -1 (/ x y))) (pow y 5))) (* -1/2 x)))
(.f64 (.f64 (.f64 y y) (.f64 (.f64 y (.f64 y y)) y)) (fma.f64 x #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (pow.f64 y #s(literal 5 binary64)))))
(* (pow y 6) (- (* -1 (/ (+ 1 (* -1 (/ x y))) (pow y 5))) (* -1/2 x)))
(.f64 (.f64 (.f64 y y) (.f64 (.f64 y (.f64 y y)) y)) (fma.f64 x #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (pow.f64 y #s(literal 5 binary64)))))
y
(* y (+ 1 (* -1/2 (* x (pow y 2)))))
(fma.f64 y (.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64)))) y)
(* y (+ 1 (* -1/2 (* x (pow y 2)))))
(fma.f64 y (.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64)))) y)
(* y (+ 1 (* -1/2 (* x (pow y 2)))))
(fma.f64 y (.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64)))) y)
(* -1/2 (pow y 3))
(.f64 y (.f64 y (*.f64 y #s(literal -1/2 binary64))))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/2))
(fma.f64 y (.f64 y (.f64 y #s(literal -1/2 binary64))) y)
(* (pow y 3) (- (/ 1 (pow y 2)) 1/2))
(fma.f64 y (.f64 y (.f64 y #s(literal -1/2 binary64))) y)
(* (pow y 3) (- (/ 1 (pow y 2)) 1/2))
(fma.f64 y (.f64 y (.f64 y #s(literal -1/2 binary64))) y)
(* 1/2 (pow y 3))
(.f64 y (.f64 y (*.f64 y #s(literal 1/2 binary64))))
(* (pow y 3) (+ 1/2 (/ 1 (pow y 2))))
(fma.f64 y (.f64 y (.f64 y #s(literal 1/2 binary64))) y)
(* (pow y 3) (+ 1/2 (/ 1 (pow y 2))))
(fma.f64 y (.f64 y (.f64 y #s(literal 1/2 binary64))) y)
(* (pow y 3) (+ 1/2 (/ 1 (pow y 2))))
(fma.f64 y (.f64 y (.f64 y #s(literal 1/2 binary64))) y)
y
(+ y (* -1/2 (* x (pow y 3))))
(fma.f64 y (.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64)))) y)
(+ y (* -1/2 (* x (pow y 3))))
(fma.f64 y (.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64)))) y)
(+ y (* -1/2 (* x (pow y 3))))
(fma.f64 y (.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64)))) y)
(* -1/2 (* x (pow y 3)))
(.f64 y (.f64 y (.f64 y (.f64 x #s(literal -1/2 binary64)))))
(* x (+ (* -1/2 (pow y 3)) (/ y x)))
(fma.f64 y (.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64)))) y)
(* x (+ (* -1/2 (pow y 3)) (/ y x)))
(fma.f64 y (.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64)))) y)
(* x (+ (* -1/2 (pow y 3)) (/ y x)))
(fma.f64 y (.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64)))) y)
(* -1/2 (* x (pow y 3)))
(.f64 y (.f64 y (.f64 y (.f64 x #s(literal -1/2 binary64)))))
(* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 3)))))
(fma.f64 y (.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64)))) y)
(* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 3)))))
(fma.f64 y (.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64)))) y)
(* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 3)))))
(fma.f64 y (.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64)))) y)
(* -1/2 (* x y))
(.f64 y (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(.f64 y (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(.f64 y (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(.f64 y (.f64 x #s(literal -1/2 binary64)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 (* x y))
(.f64 y (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(.f64 y (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(.f64 y (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(.f64 y (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(.f64 y (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(.f64 y (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(.f64 y (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(.f64 y (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(.f64 y (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(.f64 y (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(.f64 y (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(.f64 y (.f64 x #s(literal -1/2 binary64)))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
x
x
x
x
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 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))
(- 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 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)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
x
x
x
x
x
x
x
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)

eval205.0ms (0.7%)

Memory: 15.9MiB live, 202.7MiB allocated
Compiler: Compiled 18 602 to 1 409 computations (92.4% saved)

prune126.0ms (0.4%)

Memory

-23.7MiB live, 153.7MiB allocated

Pruning

13 alts after pruning (1 fresh and 12 done)

	Pruned	Kept	Total
New	880	1	881
Fresh	0	0	0
Picked	1	4	5
Done	0	8	8
Total	881	13	894

Accuracy

100.0%

Counts

894 → 13

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)
✓	58.9%	(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x y)) y x)
✓	12.2%	(/.f64 #s(literal -2 binary64) x)
✓	65.1%	(-.f64 x (fma.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) y y))
✓	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
✓	99.9%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))
✓	59.0%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
✓	77.0%	(-.f64 x y)
✓	47.8%	(+.f64 x #s(literal -1 binary64))
	31.4%	(.f64 y (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
✓	30.7%	(neg.f64 y)
✓	3.9%	#s(literal -1 binary64)
✓	4.0%	#s(literal -2 binary64)

Compiler

Compiled 258 to 133 computations (48.4% saved)

regimes22.0ms (0.1%)

Memory

0.8MiB live, 39.1MiB allocated

Counts

21 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	y
7.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
6.0ms	x

Results

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes18.0ms (0.1%)

Memory

-7.4MiB live, 31.0MiB allocated

Counts

15 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
89.9%	3	`x`
92.3%	3	`y`
85.5%	3	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes7.0ms (0%)

Memory

11.1MiB live, 11.1MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs
(+.f64 x #s(literal -1 binary64))
(-.f64 x y)
(+.f64 x #s(literal -1 binary64))

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
87.3%	3	`x`
85.0%	4	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs
(+.f64 x #s(literal -1 binary64))
(neg.f64 y)
(+.f64 x #s(literal -1 binary64))

Calls

3 calls:

3.0ms	(-.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
55.6%	5	`y`
61.7%	3	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
75.2%	3	`x`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes104.0ms (0.3%)

Memory

-31.6MiB live, 9.4MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal -2 binary64)
#s(literal -1 binary64)
(neg.f64 y)

Outputs
(neg.f64 y)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
30.7%	1	`y`
30.7%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
30.7%	1	`x`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes5.0ms (0%)

Memory

6.7MiB live, 6.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal -2 binary64)
#s(literal -1 binary64)

Outputs
#s(literal -2 binary64)

Calls

3 calls:

2.0ms	(-.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
4.0%	1	`x`
4.0%	1	`y`
4.0%	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)

bsearch26.0ms (0.1%)

Memory

31.5MiB live, 31.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.3657193507913227e+159	9.349046479252873e+163
10.0ms	-6.92117921120224e+79	-3.5194754574757876e+78

Samples

13.0ms

256×

valid

Compiler

Compiled 240 to 174 computations (27.5% saved)

Precisions

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

ival-div: 3.0ms (36.8% of total)

ival-mult: 2.0ms (24.5% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch28.0ms (0.1%)

Memory

-27.2MiB live, 50.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	7.076318715756704e-19	5.493697056103016e-6
10.0ms	-2.5930390019181258	-0.17817595558180235

Samples

15.0ms

256×

valid

Compiler

Compiled 208 to 158 computations (24% saved)

Precisions

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

ival-div: 3.0ms (31.2% of total)

ival-mult: 3.0ms (31.2% of total)

ival-sub: 1.0ms (10.4% of total)

ival-add: 1.0ms (10.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch22.0ms (0.1%)

Memory

10.2MiB live, 48.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	4.484293510799253e-26	5.714557594733111e-26
16.0ms	-4.430252542305268e-68	-1.4236482072529354e-81

Samples

12.0ms

208×

valid

Compiler

Compiled 159 to 131 computations (17.6% saved)

Precisions

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

ival-div: 3.0ms (38.1% of total)

ival-mult: 3.0ms (38.1% of total)

ival-sub: 1.0ms (12.7% of total)

ival-add: 1.0ms (12.7% of total)

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

exact: 0.0ms (0% of total)

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

simplify8.0ms (0%)

Memory

16.9MiB live, 16.9MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`+-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	34	67
1	46	67
2	62	67
3	73	67
4	81	67
5	84	67

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -9999999999999999673560075006595519222746403606649979913266024618633003221909504 binary64)) (-.f64 x (/.f64 #s(literal 2 binary64) x)) (if (<=.f64 y #s(literal 1439999999999999951648558972052389961298207718266045808707567975252987405114294331452111433272732880931890409032351846611101791195367744805503024938829834354688 binary64)) (-.f64 x y) (-.f64 x (/.f64 #s(literal 2 binary64) x))))
(if (<=.f64 x #s(literal -5/2 binary64)) (+.f64 x #s(literal -1 binary64)) (if (<=.f64 x #s(literal 6375194751874021/1180591620717411303424 binary64)) (-.f64 x y) (+.f64 x #s(literal -1 binary64))))
(if (<=.f64 x #s(literal -5342339453620755/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) (+.f64 x #s(literal -1 binary64)) (if (<=.f64 x #s(literal 8188554877585463/174224571863520493293247799005065324265472 binary64)) (neg.f64 y) (+.f64 x #s(literal -1 binary64))))
(neg.f64 y)
#s(literal -2 binary64)

Outputs
(-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -9999999999999999673560075006595519222746403606649979913266024618633003221909504 binary64)) (-.f64 x (/.f64 #s(literal 2 binary64) x)) (if (<=.f64 y #s(literal 1439999999999999951648558972052389961298207718266045808707567975252987405114294331452111433272732880931890409032351846611101791195367744805503024938829834354688 binary64)) (-.f64 x y) (-.f64 x (/.f64 #s(literal 2 binary64) x))))
(if (<=.f64 x #s(literal -5/2 binary64)) (+.f64 x #s(literal -1 binary64)) (if (<=.f64 x #s(literal 6375194751874021/1180591620717411303424 binary64)) (-.f64 x y) (+.f64 x #s(literal -1 binary64))))
(if (<=.f64 x #s(literal -5342339453620755/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) (+.f64 x #s(literal -1 binary64)) (if (<=.f64 x #s(literal 8188554877585463/174224571863520493293247799005065324265472 binary64)) (neg.f64 y) (+.f64 x #s(literal -1 binary64))))
(neg.f64 y)
#s(literal -2 binary64)

soundness699.0ms (2.2%)

Memory

5.2MiB live, 592.4MiB allocated

Rules

13 308×	`lower-fma.f64`
13 308×	`lower-fma.f32`
9 652×	`lower-fma.f64`
9 652×	`lower-fma.f32`
5 754×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	237	936
1	754	906
2	1960	880
3	5877	876
0	8171	823
0	9	35
0	14	35
1	63	35
2	500	35
3	6873	35
0	8527	32
0	309	1536
1	959	1500
2	2580	1382
3	6751	1380
0	8078	1292

Stop Event

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

Compiler

Compiled 172 to 102 computations (40.7% saved)

preprocess55.0ms (0.2%)

Memory: -12.9MiB live, 101.2MiB allocated
Compiler: Compiled 164 to 86 computations (47.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	18	83
0	31	83
1	48	81
2	68	81
3	127	81
4	197	81
5	355	81
6	541	81
7	678	81
8	890	81
9	969	81
10	982	81
11	985	81
12	986	81
0	986	79

Iter	Nodes	Cost
0	18	83
0	31	83
1	48	81
2	68	81
3	127	81
4	197	81
5	355	81
6	541	81
7	678	81
8	890	81
9	969	81
10	982	81
11	985	81
12	986	81
0	986	79

analyze23.0ms (0.1%)

sample1.3s (4.3%)

preprocess71.0ms (0.2%)

explain115.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify36.0ms (0.1%)

localize26.0ms (0.1%)

series12.0ms (0%)

rewrite895.0ms (2.9%)

simplify22.6s (72.2%)

eval93.0ms (0.3%)

prune107.0ms (0.3%)

simplify115.0ms (0.4%)

localize66.0ms (0.2%)

series30.0ms (0.1%)

rewrite436.0ms (1.4%)

simplify743.0ms (2.4%)

eval169.0ms (0.5%)

prune262.0ms (0.8%)

simplify182.0ms (0.6%)

localize142.0ms (0.5%)

series12.0ms (0%)

rewrite869.0ms (2.8%)

simplify354.0ms (1.1%)

eval100.0ms (0.3%)

prune102.0ms (0.3%)

simplify166.0ms (0.5%)

localize67.0ms (0.2%)

series22.0ms (0.1%)

rewrite412.0ms (1.3%)

simplify369.0ms (1.2%)

eval205.0ms (0.7%)

prune126.0ms (0.4%)

regimes22.0ms (0.1%)

regimes18.0ms (0.1%)

regimes7.0ms (0%)

regimes8.0ms (0%)

regimes104.0ms (0.3%)

regimes5.0ms (0%)

bsearch26.0ms (0.1%)

bsearch28.0ms (0.1%)

bsearch22.0ms (0.1%)

simplify8.0ms (0%)

soundness699.0ms (2.2%)

preprocess55.0ms (0.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	18	83
0	31	83
1	48	81
2	68	81
3	127	81
4	197	81
5	355	81
6	541	81
7	678	81
8	890	81
9	969	81
10	982	81
11	985	81
12	986	81
0	986	79