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

analyze25.0ms (0.1%)

Memory

-7.1MiB live, 72.5MiB 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)

sample841.0ms (2.8%)

Memory

41.5MiB live, 1 306.9MiB allocated

Samples

595.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 370.0ms

ival-div: 195.0ms (52.7% of total)

ival-mult: 75.0ms (20.3% of total)

ival-add: 41.0ms (11.1% of total)

ival-sub: 39.0ms (10.5% of total)

exact: 10.0ms (2.7% of total)

ival-true: 6.0ms (1.6% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

preprocess307.0ms (1%)

Memory

-20.4MiB live, 92.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

explain533.0ms (1.8%)

Memory

-7.2MiB live, 173.1MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

301.0ms

512×

valid

Compiler

Compiled 108 to 40 computations (63% saved)

Precisions

Click to see histograms. Total time spent on operations: 272.0ms

ival-div: 262.0ms (96.3% of total)

ival-mult: 4.0ms (1.5% of total)

ival-sub: 2.0ms (0.7% of total)

ival-add: 2.0ms (0.7% of total)

exact: 1.0ms (0.4% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify56.0ms (0.2%)

Memory

-8.8MiB live, 31.2MiB 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)

localize58.0ms (0.2%)

Memory

3.5MiB live, 42.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	90.4%	(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))

Samples

48.0ms

256×

valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

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

ival-div: 34.0ms (83.4% of total)

ival-mult: 3.0ms (7.4% of total)

ival-sub: 1.0ms (2.5% of total)

ival-add: 1.0ms (2.5% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0%)

Memory

13.1MiB live, 13.1MiB 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 y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* x (+ (* 1/2 y) (/ 1 x)))>
#<alt (* x (+ (* 1/2 y) (/ 1 x)))>
#<alt (* x (+ (* 1/2 y) (/ 1 x)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* x (- (* -1/2 y) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 y) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 y) (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* y (+ (* 1/2 x) (/ 1 y)))>
#<alt (* y (+ (* 1/2 x) (/ 1 y)))>
#<alt (* y (+ (* 1/2 x) (/ 1 y)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* y (- (* -1/2 x) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1/2 x) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1/2 x) (/ 1 y))))>
#<alt (* -1 y)>
#<alt (- (* x (+ 1 (* 1/2 (pow y 2)))) y)>
#<alt (- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)>
#<alt (- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)>
#<alt x>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))>
#<alt x>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* y (- (* 1/2 (* x y)) 1)))>
#<alt (+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))>
#<alt (- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))>
#<alt (- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))>
#<alt (- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))>
#<alt (- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))>
#<alt y>
#<alt (* y (+ 1 (* -1/2 (* x y))))>
#<alt (* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))>
#<alt (* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))>
#<alt (/ 2 x)>
#<alt (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))>
#<alt (- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))>
#<alt (- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))>
#<alt (/ 2 x)>
#<alt (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))>
#<alt (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))>
#<alt y>
#<alt (+ y (* -1/2 (* x (pow y 2))))>
#<alt (+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))>
#<alt (+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))>
#<alt (/ 2 x)>
#<alt (/ (- 2 (* 4 (/ 1 (* x y)))) x)>
#<alt (/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)>
#<alt (/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)>
#<alt (/ 2 x)>
#<alt (* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>

Calls

30 calls:

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

rewrite13.6s (45.1%)

Memory

13.3MiB live, 402.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 279

Calls

Call 1

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

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

simplify9.3s (30.9%)

Memory

-2.9MiB live, 670.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 115

Calls

Call 1

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

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

eval51.0ms (0.2%)

Memory: 18.0MiB live, 130.9MiB allocated
Compiler: Compiled 10 937 to 1 049 computations (90.4% saved)

prune50.0ms (0.2%)

Memory

-29.9MiB live, 128.9MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

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

Accuracy

100.0%

Counts

395 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))) y x)
▶	60.2%	(fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x)
▶	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
	65.3%	(-.f64 x (/.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x y))))
▶	65.4%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
▶	74.4%	(-.f64 x y)
▶	26.4%	(neg.f64 y)

Compiler

Compiled 126 to 84 computations (33.3% saved)

simplify126.0ms (0.4%)

Memory

13.5MiB live, 96.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

1 368×	`lower-fma.f32`
1 362×	`lower-fma.f64`
648×	`lower-*.f32`
644×	`lower-*.f64`
276×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	71
0	31	71
1	56	71
2	102	71
3	158	71
4	316	71
5	570	71
6	885	71
7	1209	71
8	1312	71
9	1403	71
10	1467	71
11	1575	71
12	1587	71
13	1595	71
14	1602	71
15	1603	71
0	1603	71

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

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

localize91.0ms (0.3%)

Memory

-0.7MiB live, 118.4MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.9%	(fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x)
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	100.0%	(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))
✓	accuracy	100.0%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
✓	accuracy	100.0%	(*.f64 y #s(literal 1/2 binary64))
✓	accuracy	90.4%	(/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))

Samples

35.0ms

256×

valid

Compiler

Compiled 79 to 22 computations (72.2% saved)

Precisions

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

ival-mult: 9.0ms (42.4% of total)

ival-div: 4.0ms (18.8% of total)

ival-sub: 3.0ms (14.1% of total)

ival-add: 3.0ms (14.1% of total)

exact: 1.0ms (4.7% of total)

ival-neg: 1.0ms (4.7% of total)

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

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

series8.0ms (0%)

Memory

18.6MiB live, 18.6MiB allocated

Counts

11 → 216

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

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

Calls

54 calls:

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

rewrite372.0ms (1.2%)

Memory

-17.1MiB live, 653.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 410×	`lower-fma.f32`
7 404×	`lower-fma.f64`
4 018×	`lower-/.f32`
4 014×	`lower-/.f64`
3 928×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	58
0	31	58
1	136	58
2	1159	58
0	8676	58

Stop Event

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

Counts

11 → 481

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

simplify396.0ms (1.3%)

Memory

7.0MiB live, 665.0MiB allocated

Algorithm

1×	egg-herbie

Rules

13 260×	`lower-fma.f64`
13 260×	`lower-fma.f32`
4 898×	`lower-*.f64`
4 898×	`lower-*.f32`
2 806×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	282	1572
1	882	1547
2	2379	1433
3	7527	1407
0	8414	1314

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 205

Calls

Call 1

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

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

eval114.0ms (0.4%)

Memory: -15.7MiB live, 150.4MiB allocated
Compiler: Compiled 16 864 to 1 550 computations (90.8% saved)

prune70.0ms (0.2%)

Memory

-5.7MiB live, 149.1MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	683	3	686
Fresh	1	1	2
Picked	1	4	5
Done	0	0	0
Total	685	8	693

Accuracy

100.0%

Counts

693 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))) y x)
▶	14.4%	(/.f64 #s(literal -2 binary64) x)
✓	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
▶	65.3%	(-.f64 x (/.f64 y (.f64 y (.f64 x #s(literal 1/2 binary64)))))
✓	65.4%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
✓	74.4%	(-.f64 x y)
▶	27.0%	(.f64 y (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
✓	26.4%	(neg.f64 y)

Compiler

Compiled 67 to 46 computations (31.3% saved)

simplify418.0ms (1.4%)

Memory

14.9MiB live, 369.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)))
✓	cost-diff	192	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))) y x)
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) 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	(-.f64 x (/.f64 y (.f64 y (.f64 x #s(literal 1/2 binary64)))))
✓	cost-diff	640	(/.f64 y (.f64 y (.f64 x #s(literal 1/2 binary64))))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓	cost-diff	0	(.f64 y (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))

Rules

6 792×	`lower-fma.f32`
6 786×	`lower-fma.f64`
2 656×	`div-sub`
2 512×	`lower--.f32`
2 510×	`lower--.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	86
0	31	86
1	58	77
2	107	77
3	319	77
4	958	77
5	1847	77
6	2581	77
7	3337	77
8	4576	77
9	5447	77
10	5681	77
11	5855	77
12	5893	77
13	5893	77
14	5943	77
15	5951	77
16	5951	77
17	6482	77
18	6638	77
19	6726	77
20	6862	77
21	6878	77
22	6878	77
23	6878	77
24	7072	77
0	8106	77

Stop Event

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

Calls

Call 1

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

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

localize63.0ms (0.2%)

Memory

-4.0MiB live, 124.1MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))) y x)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) x)
✓	accuracy	100.0%	(-.f64 x (/.f64 y (.f64 y (.f64 x #s(literal 1/2 binary64)))))
✓	accuracy	100.0%	(.f64 y (.f64 x #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	83.1%	(/.f64 y (.f64 y (.f64 x #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	99.9%	(.f64 y (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))

Samples

40.0ms

256×

valid

Compiler

Compiled 94 to 22 computations (76.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 14.0ms (52.2% of total)

ival-div: 5.0ms (18.6% of total)

ival-sub: 3.0ms (11.2% of total)

ival-add: 3.0ms (11.2% of total)

exact: 1.0ms (3.7% of total)

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

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

series11.0ms (0%)

Memory

-16.9MiB live, 19.7MiB allocated

Counts

11 → 240

Calls

Call 1

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

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

Calls

60 calls:

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

rewrite703.0ms (2.3%)

Memory

32.6MiB live, 509.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

12 530×	`lower-fma.f32`
12 524×	`lower-fma.f64`
5 384×	`lower-*.f32`
5 376×	`lower-*.f64`
2 258×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	69
0	31	69
1	125	60
2	968	60
0	9311	60

Stop Event

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

Counts

11 → 688

Calls

Call 1

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

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

simplify861.0ms (2.9%)

Memory

-5.0MiB live, 396.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12 086×	`lower-fma.f64`
12 086×	`lower-fma.f32`
4 578×	`lower-*.f64`
4 578×	`lower-*.f32`
1 888×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	261	1735
1	795	1706
2	2163	1662
3	5691	1649
0	8205	1559

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 235

Calls

Call 1

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

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

eval468.0ms (1.6%)

Memory: 15.6MiB live, 204.2MiB allocated
Compiler: Compiled 15 657 to 1 888 computations (87.9% saved)

prune177.0ms (0.6%)

Memory

-22.2MiB live, 191.8MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	999	1	1 000
Fresh	0	0	0
Picked	1	3	4
Done	0	4	4
Total	1 000	8	1 008

Accuracy

100.0%

Counts

1 008 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))) y x)
▶	14.3%	(/.f64 y (.f64 (.f64 y x) #s(literal -1/2 binary64)))
✓	14.4%	(/.f64 #s(literal -2 binary64) x)
✓	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
✓	65.4%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
✓	74.4%	(-.f64 x y)
✓	27.0%	(.f64 y (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
✓	26.4%	(neg.f64 y)

Compiler

Compiled 65 to 45 computations (30.8% saved)

simplify5.0ms (0%)

Memory

8.2MiB live, 8.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

30×	`lower-/.f32`
30×	`associate-/r*`
28×	`lower-/.f64`
24×	`lower-*.f32`
20×	`lower-*.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	15	18
2	29	14
3	45	14
4	48	14
0	48	14

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize48.0ms (0.2%)

Memory

-6.7MiB live, 32.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (.f64 y x) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	83.1%	(/.f64 y (.f64 (.f64 y x) #s(literal -1/2 binary64)))

Samples

41.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-mult: 4.0ms (62.6% of total)

ival-div: 2.0ms (31.3% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Counts

3 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite358.0ms (1.2%)

Memory

-1.8MiB live, 272.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 954×	`lower-*.f32`
2 950×	`lower-*.f64`
1 714×	`lower-/.f32`
1 712×	`lower-/.f64`
1 450×	`log-div`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	23	15
2	102	11
3	623	11
4	4758	11
0	8703	11

Stop Event

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

Counts

3 → 533

Calls

Call 1

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

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

simplify11.0ms (0%)

Memory

-8.0MiB live, 29.6MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`lower-*.f64`
24×	`lower-*.f32`
10×	`*-commutative`
6×	`associate-r`
6×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	264
1	11	264
2	18	264
3	20	264
0	20	264

Stop Event

1×	iter limit
1×	saturated

Counts

72 → 72

Calls

Call 1

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

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

eval80.0ms (0.3%)

Memory: -11.2MiB live, 192.0MiB allocated
Compiler: Compiled 6 717 to 1 185 computations (82.4% saved)

prune189.0ms (0.6%)

Memory

32.4MiB live, 191.6MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	604	1	605
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	604	9	613

Accuracy

100.0%

Counts

613 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))) y x)
✓	14.3%	(/.f64 y (.f64 (.f64 y x) #s(literal -1/2 binary64)))
	3.3%	(/.f64 #s(literal 2 binary64) x)
✓	14.4%	(/.f64 #s(literal -2 binary64) x)
✓	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
✓	65.4%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
✓	74.4%	(-.f64 x y)
✓	27.0%	(.f64 y (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
✓	26.4%	(neg.f64 y)

Compiler

Compiled 162 to 88 computations (45.7% saved)

regimes15.0ms (0.1%)

Memory

-2.2MiB live, 36.4MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
4.0ms	y
4.0ms	x

Results

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes13.0ms (0%)

Memory

-5.1MiB live, 32.8MiB allocated

Counts

10 → 3

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
4.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
88.0%	3	`x`
94.0%	3	`y`
88.3%	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

-16.2MiB live, 23.5MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
74.4%	1	`x`
74.4%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
80.9%	3	`y`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes4.0ms (0%)

Memory

15.0MiB live, 15.0MiB allocated

Counts

2 → 1

Calls

Call 1

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

Outputs
(-.f64 x y)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
74.4%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
74.4%	1	`y`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes6.0ms (0%)

Memory

-23.2MiB live, 18.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(neg.f64 y)

Outputs
(neg.f64 y)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
26.4%	1	`y`
26.4%	1	`x`
26.4%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch25.0ms (0.1%)

Memory

20.5MiB live, 60.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	6.511514640254902e+100	3.251644503895978e+105
10.0ms	-2.5122462530744996e+135	-3.771898520373315e+133

Samples

13.0ms

240×

valid

Compiler

Compiled 226 to 164 computations (27.4% saved)

Precisions

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

ival-div: 3.0ms (38.9% of total)

ival-mult: 2.0ms (25.9% of total)

ival-sub: 1.0ms (13% of total)

ival-add: 1.0ms (13% 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

12.8MiB live, 51.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	6.511514640254902e+100	3.251644503895978e+105
9.0ms	-3.846518980588577e+239	-4.5794143778317986e+238

Samples

11.0ms

208×

valid

Compiler

Compiled 184 to 140 computations (23.9% saved)

Precisions

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

ival-div: 3.0ms (44.5% of total)

ival-mult: 2.0ms (29.7% of total)

ival-sub: 1.0ms (14.8% of total)

ival-add: 1.0ms (14.8% of total)

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

exact: 0.0ms (0% of total)

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

simplify9.0ms (0%)

Memory

-13.4MiB live, 25.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -38000000000000001858035908287819345307717381907376799739860903753736441168397216813400050695332373913243795894236815228720767022661632 binary64)) (-.f64 x (/.f64 #s(literal 2 binary64) x)) (if (<=.f64 y #s(literal 1400000000000000092200127673790131818671141844599020033696032063961720193169100099114440065407460048896 binary64)) (-.f64 x y) (-.f64 x (/.f64 #s(literal 2 binary64) x))))
(if (<=.f64 y #s(literal -145000000000000008499796759523950009308241947158349765852055203630578133984588941763181834725700501154517662264945824514314183794021297023035476758926745321547572835537691150745644290529721595613251205159129634737214996147343876005675663360 binary64)) (/.f64 #s(literal -2 binary64) x) (if (<=.f64 y #s(literal 3200000000000000006130160274350939955891056407248614435688971246718013837452764019075955664346177035304960 binary64)) (-.f64 x y) (/.f64 #s(literal -2 binary64) x)))
(-.f64 x y)
(neg.f64 y)

Outputs
(-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -38000000000000001858035908287819345307717381907376799739860903753736441168397216813400050695332373913243795894236815228720767022661632 binary64)) (-.f64 x (/.f64 #s(literal 2 binary64) x)) (if (<=.f64 y #s(literal 1400000000000000092200127673790131818671141844599020033696032063961720193169100099114440065407460048896 binary64)) (-.f64 x y) (-.f64 x (/.f64 #s(literal 2 binary64) x))))
(if (<=.f64 y #s(literal -145000000000000008499796759523950009308241947158349765852055203630578133984588941763181834725700501154517662264945824514314183794021297023035476758926745321547572835537691150745644290529721595613251205159129634737214996147343876005675663360 binary64)) (/.f64 #s(literal -2 binary64) x) (if (<=.f64 y #s(literal 3200000000000000006130160274350939955891056407248614435688971246718013837452764019075955664346177035304960 binary64)) (-.f64 x y) (/.f64 #s(literal -2 binary64) x)))
(-.f64 x y)
(neg.f64 y)

soundness560.0ms (1.9%)

Memory

2.7MiB live, 476.2MiB allocated

Rules

13 558×	`lower-fma.f64`
13 558×	`lower-fma.f32`
13 260×	`lower-fma.f64`
13 260×	`lower-fma.f32`
5 754×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	282	1572
1	882	1547
2	2379	1433
3	7527	1407
0	8414	1314
0	9	35
0	14	35
1	63	35
2	500	35
3	6873	35
0	8527	32
0	231	1053
1	738	1018
2	1942	987
3	6081	981
0	8428	934

Stop Event

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

Compiler

Compiled 105 to 61 computations (41.9% saved)

preprocess62.0ms (0.2%)

Memory: 19.1MiB live, 166.7MiB allocated
Compiler: Compiled 136 to 72 computations (47.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze25.0ms (0.1%)

sample841.0ms (2.8%)

preprocess307.0ms (1%)

explain533.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify56.0ms (0.2%)

localize58.0ms (0.2%)

series9.0ms (0%)

rewrite13.6s (45.1%)

simplify9.3s (30.9%)

eval51.0ms (0.2%)

prune50.0ms (0.2%)

simplify126.0ms (0.4%)

localize91.0ms (0.3%)

series8.0ms (0%)

rewrite372.0ms (1.2%)

simplify396.0ms (1.3%)

eval114.0ms (0.4%)

prune70.0ms (0.2%)

simplify418.0ms (1.4%)

localize63.0ms (0.2%)

series11.0ms (0%)

rewrite703.0ms (2.3%)

simplify861.0ms (2.9%)

eval468.0ms (1.6%)

prune177.0ms (0.6%)

simplify5.0ms (0%)

localize48.0ms (0.2%)

series2.0ms (0%)

rewrite358.0ms (1.2%)

simplify11.0ms (0%)

eval80.0ms (0.3%)

prune189.0ms (0.6%)

regimes15.0ms (0.1%)

regimes13.0ms (0%)

regimes7.0ms (0%)

regimes4.0ms (0%)

regimes6.0ms (0%)

bsearch25.0ms (0.1%)

bsearch22.0ms (0.1%)

simplify9.0ms (0%)

soundness560.0ms (1.9%)

preprocess62.0ms (0.2%)

end0.0ms (0%)

Profiling