Metrics for Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.1s (19.3%)

Memory

23.9MiB live, 845.2MiB allocated

Samples

778.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 393.0ms

ival-add: 180.0ms (45.8% of total)

ival-mult: 132.0ms (33.6% of total)

ival-div: 68.0ms (17.3% of total)

ival-true: 6.0ms (1.5% of total)

exact: 4.0ms (1% of total)

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

adjust: 0.0ms (0% of total)

Bogosity

preprocess87.0ms (1.6%)

Memory

23.4MiB live, 62.3MiB allocated

Algorithm

2×	egg-herbie

Rules

412×	`distribute-rgt-in`
356×	`sub-neg`
278×	`unsub-neg`
242×	`cancel-sign-sub`
240×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	97
1	92	91
2	238	90
3	668	76
4	1199	72
5	1787	70
6	2256	70
7	2444	70
8	2492	70
9	2500	70
10	2500	70
11	2500	70
0	8	9
1	13	9
2	20	9
3	22	9
0	22	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(+ (+ (/ x 2) (* y x)) z)

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

Call 2

Inputs
(+ (+ (/ x 2) (* y x)) z)
(+ (+ (/ (neg x) 2) (* y (neg x))) z)
(+ (+ (/ x 2) (* (neg y) x)) z)
(+ (+ (/ x 2) (* y x)) (neg z))
(neg (+ (+ (/ (neg x) 2) (* y (neg x))) z))
(neg (+ (+ (/ x 2) (* (neg y) x)) z))
(neg (+ (+ (/ x 2) (* y x)) (neg z)))
(+ (+ (/ y 2) (* x y)) z)
(+ (+ (/ z 2) (* y z)) x)
(+ (+ (/ x 2) (* z x)) y)

Outputs
(+ (+ (/ x 2) (* y x)) z)
(+ (* x (+ y 1/2)) z)
(+ (+ (/ (neg x) 2) (* y (neg x))) z)
(+ z (* x (- -1/2 y)))
(+ (+ (/ x 2) (* (neg y) x)) z)
(+ z (* x (- 1/2 y)))
(+ (+ (/ x 2) (* y x)) (neg z))
(- (* x (+ y 1/2)) z)
(neg (+ (+ (/ (neg x) 2) (* y (neg x))) z))
(- (* x (+ y 1/2)) z)
(neg (+ (+ (/ x 2) (* (neg y) x)) z))
(- (* x (+ y -1/2)) z)
(neg (+ (+ (/ x 2) (* y x)) (neg z)))
(+ z (* x (- -1/2 y)))
(+ (+ (/ y 2) (* x y)) z)
(+ z (* y (+ x 1/2)))
(+ (+ (/ z 2) (* y z)) x)
(+ x (* z (+ y 1/2)))
(+ (+ (/ x 2) (* z x)) y)
(+ y (* x (+ z 1/2)))

explain102.0ms (1.8%)

Memory

-44.6MiB live, 216.0MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
-	-	`#s(literal 2 binary64)`
-	-	`y`
-	-	`(/.f64 x #s(literal 2 binary64))`
-	-	`z`
-	-	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
-	-	`(*.f64 y x)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

33.0ms

512×

valid

Compiler

Compiled 80 to 36 computations (55% saved)

Precisions

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

ival-add: 4.0ms (32.7% of total)

ival-mult: 4.0ms (32.7% of total)

ival-div: 3.0ms (24.6% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

24×	`+-lowering-+.f64`
24×	`+-lowering-+.f32`
12×	`accelerator-lowering-fma.f32`
12×	`accelerator-lowering-fma.f64`
10×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	13	26
2	20	26
3	22	26
0	22	24

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (+ (/ x 2) (* y x)) z)
(+ (/ x 2) (* y x))
(/ x 2)
x
2
(* y x)
y
z

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

localize23.0ms (0.4%)

Memory

12.3MiB live, 49.9MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

14.0ms

256×

valid

Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions

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

ival-div: 2.0ms (31.6% of total)

ival-add: 2.0ms (31.6% of total)

ival-mult: 2.0ms (31.6% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#<alt (+ (/ x 2) (* y x))>
#<alt (+ (+ (/ x 2) (* y x)) z)>
#<alt (/ x 2)>
#<alt (* y x)>

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

Calls

24 calls:

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

rewrite308.0ms (5.5%)

Memory

-17.1MiB live, 536.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 074×	`accelerator-lowering-fma.f32`
7 074×	`accelerator-lowering-fma.f64`
4 356×	`-lowering-.f32`
4 356×	`-lowering-.f64`
2 578×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	48	18
2	448	18
3	6054	18
0	8017	17

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 242

Calls

Call 1

Inputs
(+ (/ x 2) (* y x))
(+ (+ (/ x 2) (* y x)) z)
(/ x 2)
(* y x)

Outputs
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x y))
(+.f64 (.f64 x y) (.f64 x #s(literal 1/2 binary64)))
(+.f64 (/.f64 (.f64 x (.f64 #s(literal 1/4 binary64) x)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(-.f64 (.f64 x y) (.f64 x #s(literal -1/2 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 #s(literal 1/4 binary64) x)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (/.f64 (.f64 x (.f64 x (.f64 y y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (-.f64 y #s(literal 1/2 binary64)))) (/.f64 (.f64 x (.f64 #s(literal 1/4 binary64) x)) (*.f64 x (-.f64 y #s(literal 1/2 binary64)))))
(fma.f64 x y (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x y))
(fma.f64 x (/.f64 (.f64 #s(literal 1/4 binary64) x) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 x y))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 y x (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 x y) #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (*.f64 x y))
(fma.f64 (.f64 x (.f64 #s(literal 1/4 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)) (.f64 x y))
(fma.f64 #s(literal 1 binary64) (.f64 x y) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x y))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x y))
(fma.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64)) (.f64 x y))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (*.f64 x y))
(fma.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1/4 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 (/.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) x) (-.f64 #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) x) (/.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) x) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 x y))
(fma.f64 (.f64 #s(literal 1 binary64) y) x (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (.f64 x (.f64 #s(literal 1/4 binary64) x)) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y)))) (.f64 x (+.f64 y #s(literal 1/2 binary64))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 (/.f64 (.f64 x (.f64 #s(literal 1/4 binary64) x)) (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y))))) (fma.f64 x (.f64 #s(literal 1/4 binary64) x) (.f64 (.f64 x y) (.f64 x (+.f64 y #s(literal 1/2 binary64))))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(neg.f64 (neg.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(/.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal 1/8 binary64))) (fma.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64))) (.f64 x (.f64 #s(literal 1/4 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 y y) #s(literal 1/4 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y))) (.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64))) (.f64 x (.f64 #s(literal 1/4 binary64) x)))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y)))) (.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))))) (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal 1/8 binary64)))) (.f64 (fma.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64))) (.f64 x (.f64 #s(literal 1/4 binary64) x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))))))
(/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal 1/8 binary64))) (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y))))) (.f64 (fma.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64))) (.f64 x (.f64 #s(literal 1/4 binary64) x))) (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y))))))
(/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal 1/8 binary64))) (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y))))) (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 y y)))))))
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(/.f64 (-.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) z) (fma.f64 x #s(literal 1/2 binary64) z)) (.f64 x (.f64 x (.f64 y y)))) (-.f64 (fma.f64 x #s(literal 1/2 binary64) z) (*.f64 x y)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64))))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z))) (/.f64 (.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64))))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)))) (.f64 (/.f64 (.f64 z z) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z))) (/.f64 (.f64 z z) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z))))) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (/.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)))))
(/.f64 (.f64 (.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (.f64 z z))) #s(literal 1 binary64)) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (.f64 z z)))
(/.f64 (.f64 (.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z))) #s(literal 1 binary64)) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)))
(/.f64 (.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (.f64 z z)))) (fma.f64 (.f64 z (.f64 z z)) (-.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64))))))) (.f64 (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64)))))) (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))))))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (.f64 z z))) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64))))) (neg.f64 (.f64 z (.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (.f64 z z)))) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64))))) (neg.f64 (.f64 z (*.f64 z z)))))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (.f64 z z))) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64))))) (neg.f64 (.f64 z (.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)))) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64)))))) (.f64 (.f64 z z) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 z z)))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 z z)) (.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)))) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 x (+.f64 y #s(literal 1/2 binary64))) (*.f64 z z)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 #s(literal 1/4 binary64) x))) (fma.f64 (fma.f64 x y z) (.f64 (fma.f64 x y z) (fma.f64 x y z)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) z) (.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) z))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 z (.f64 x (+.f64 y #s(literal 1/2 binary64)))) (.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (-.f64 z (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))) #s(literal -1 binary64))
(.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)))))
(*.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (/.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z))))
(.f64 (.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (.f64 z z))))
(.f64 (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (.f64 z z)) (.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (.f64 z z)))))
(.f64 (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (.f64 z z)) (/.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (*.f64 z z))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z))
(.f64 (.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z))))
(.f64 (neg.f64 (.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (.f64 z z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (.f64 z z)))))
(.f64 (.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (neg.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)))))
(.f64 (fma.f64 (fma.f64 x y z) (.f64 (fma.f64 x y z) (fma.f64 x y z)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 #s(literal 1/4 binary64) x)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (.f64 z z))) (.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (.f64 z z))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z))) (.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z))))
(.f64 (.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (-.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) z)))
(.f64 (.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (-.f64 z (.f64 x (+.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(.f64 (/.f64 (.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z))) (*.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z))
(.f64 (/.f64 (.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (.f64 z z))) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64))))) (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64))))))) (.f64 (.f64 z (-.f64 z (.f64 x (+.f64 y #s(literal 1/2 binary64))))) (.f64 (.f64 z z) (.f64 (-.f64 z (.f64 x (+.f64 y #s(literal 1/2 binary64)))) (-.f64 z (.f64 x (+.f64 y #s(literal 1/2 binary64))))))))) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64)))))) (.f64 (.f64 z (-.f64 z (.f64 x (+.f64 y #s(literal 1/2 binary64))))) (-.f64 (.f64 z (-.f64 z (.f64 x (+.f64 y #s(literal 1/2 binary64))))) (.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64)))))))))
(.f64 (/.f64 (.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (.f64 z z))) (.f64 (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (.f64 z z)) (fma.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) z))))) (fma.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) z))))
(.f64 (/.f64 (.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z))) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64))))) (neg.f64 (.f64 z (.f64 z z))))) (fma.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64)))) (*.f64 z (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z))))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/2 binary64)))
(neg.f64 (*.f64 x #s(literal -1/2 binary64)))
(neg.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal 1/2 binary64))
(.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 x))
(.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 x y)
(*.f64 y x)
(.f64 (.f64 x y) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x y))
(.f64 (.f64 #s(literal 1 binary64) y) x)

simplify212.0ms (3.8%)

Memory

-0.2MiB live, 314.3MiB allocated

Algorithm

1×	egg-herbie

Rules

6 434×	`accelerator-lowering-fma.f32`
6 434×	`accelerator-lowering-fma.f64`
2 474×	`-lowering-.f32`
2 474×	`-lowering-.f64`
1 356×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	440
1	174	440
2	488	440
3	1310	440
4	3612	440
5	6659	440
0	8189	412

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

eval37.0ms (0.7%)

Memory: 20.5MiB live, 97.6MiB allocated
Compiler: Compiled 7 793 to 738 computations (90.5% saved)

prune41.0ms (0.7%)

Memory

1.8MiB live, 89.5MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	333	5	338
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	334	5	339

Accuracy

100.0%

Counts

339 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.5%	(fma.f64 x #s(literal 1/2 binary64) z)
▶	75.6%	(+.f64 (*.f64 x y) z)
▶	60.6%	(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
▶	36.9%	(*.f64 x y)
▶	41.1%	z

Compiler

Compiled 66 to 46 computations (30.3% saved)

simplify6.0ms (0.1%)

Memory

-31.2MiB live, 7.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

16×	`+-lowering-+.f64`
16×	`+-lowering-+.f32`
16×	`accelerator-lowering-fma.f32`
16×	`accelerator-lowering-fma.f64`
12×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	18	36
2	19	36
0	19	34

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* x y) z)
(* x y)
x
y
z
z
(* x y)
x
y
(+ (* x 1/2) z)
x
1/2
z
(* x (+ 1/2 y))
x
(+ 1/2 y)
1/2
y

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

localize31.0ms (0.6%)

Memory

27.4MiB live, 66.4MiB allocated

Localize:

Found 6 expressions of interest:

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

Samples

20.0ms

256×

valid

Compiler

Compiled 37 to 12 computations (67.6% saved)

Precisions

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

ival-mult: 5.0ms (59.3% of total)

ival-add: 3.0ms (35.6% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

5 → 120

Calls

Call 1

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

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

Calls

30 calls:

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

rewrite461.0ms (8.3%)

Memory

-18.0MiB live, 657.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 658×	`accelerator-lowering-fma.f32`
6 658×	`accelerator-lowering-fma.f64`
5 056×	`-lowering-.f32`
5 056×	`-lowering-.f64`
4 140×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	55	21
2	406	21
3	4011	21
0	9566	19

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 403

Calls

Call 1

Inputs
(+ (* x y) z)
(* x y)
(+ (* x 1/2) z)
(* x (+ 1/2 y))
(+ 1/2 y)

Outputs
(+.f64 (*.f64 x y) z)
(+.f64 z (*.f64 x y))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 x y) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (.f64 x y) z))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y z))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 x y) z)) (/.f64 (.f64 z z) (-.f64 (.f64 x y) z)))
(-.f64 (/.f64 (.f64 z z) (-.f64 z (.f64 x y))) (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 z (.f64 x y))))
(fma.f64 x y z)
(fma.f64 x (/.f64 (.f64 x (.f64 y y)) (-.f64 (.f64 x y) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (*.f64 x y) z))))
(fma.f64 y x z)
(fma.f64 y (/.f64 (.f64 x (.f64 x y)) (-.f64 (.f64 x y) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (*.f64 x y) z))))
(fma.f64 y (pow.f64 x #s(literal 1 binary64)) z)
(fma.f64 y (exp.f64 (log.f64 x)) z)
(fma.f64 (.f64 x y) (/.f64 (.f64 x y) (-.f64 (.f64 x y) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (*.f64 x y) z))))
(fma.f64 (.f64 x (.f64 x (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (.f64 x y) z))))
(fma.f64 (.f64 y y) (/.f64 (.f64 x x) (-.f64 (.f64 x y) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (*.f64 x y) z))))
(fma.f64 (.f64 x x) (/.f64 (.f64 y y) (-.f64 (.f64 x y) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (*.f64 x y) z))))
(fma.f64 (.f64 x (.f64 y y)) (/.f64 x (-.f64 (.f64 x y) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (*.f64 x y) z))))
(fma.f64 (.f64 x (.f64 x y)) (/.f64 y (-.f64 (.f64 x y) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (*.f64 x y) z))))
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z))) (fma.f64 x y z) (neg.f64 (/.f64 (.f64 z z) (-.f64 (*.f64 x y) z))))
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (.f64 z (.f64 z z)))) (fma.f64 x (.f64 x (.f64 y y)) (.f64 z (fma.f64 x y z))) (neg.f64 (/.f64 (.f64 z z) (-.f64 (*.f64 x y) z))))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) y z)
(fma.f64 (exp.f64 (log.f64 x)) y z)
(neg.f64 (/.f64 (.f64 (fma.f64 x y z) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) z) (.f64 z z))) (neg.f64 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) z) (*.f64 z z)))))
(neg.f64 (/.f64 (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z)) (neg.f64 (-.f64 (*.f64 x y) z))))
(neg.f64 (/.f64 (neg.f64 (.f64 (fma.f64 x y z) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) z) (.f64 z z)))) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) z) (*.f64 z z))))
(neg.f64 (/.f64 (neg.f64 (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z))) (-.f64 (*.f64 x y) z)))
(/.f64 (.f64 (fma.f64 x y z) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) z) (.f64 z z))) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) z) (*.f64 z z)))
(/.f64 (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z)) (-.f64 (*.f64 x y) z))
(/.f64 (neg.f64 (.f64 (fma.f64 x y z) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) z) (.f64 z z)))) (neg.f64 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) z) (*.f64 z z))))
(/.f64 (neg.f64 (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z))) (neg.f64 (-.f64 (*.f64 x y) z)))
(/.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))))) (.f64 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) z) (.f64 z z)) (fma.f64 (.f64 z (.f64 z z)) (-.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))) (.f64 (.f64 x y) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 y y))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y z)) #s(literal 1 binary64)))
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(/.f64 (neg.f64 (fma.f64 y y #s(literal -1/4 binary64))) (neg.f64 (+.f64 y #s(literal -1/2 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)))) (.f64 (/.f64 (.f64 y y) (-.f64 #s(literal 1/2 binary64) y)) (.f64 (/.f64 (.f64 y y) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (.f64 y y) (-.f64 #s(literal 1/2 binary64) y))))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (fma.f64 (/.f64 (.f64 y y) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (.f64 y y) (-.f64 #s(literal 1/2 binary64) y)) (.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1/2 binary64) y))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y))) (.f64 (/.f64 (.f64 y y) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (.f64 y y) (-.f64 #s(literal 1/2 binary64) y)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1/2 binary64) y))))
(/.f64 (.f64 (fma.f64 y (.f64 y y) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) y))
(/.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 1/512 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))) (fma.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64)) #s(literal 1/64 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y))))
(/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y))) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1/4 binary64)) #s(literal 1/16 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/16 binary64) (.f64 y (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y))) (fma.f64 y y #s(literal 1/4 binary64)))
(/.f64 (-.f64 #s(literal -1/4 binary64) (neg.f64 (*.f64 y y))) (neg.f64 (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 y y))) (.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) y) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 y y))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) y))) (.f64 (-.f64 #s(literal 1/2 binary64) y) (neg.f64 (.f64 y y)))) (.f64 (-.f64 #s(literal 1/2 binary64) y) (neg.f64 (-.f64 #s(literal 1/2 binary64) y))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64)) (.f64 y y))) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 y y))) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64)) #s(literal 1 binary64))) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 y y))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) y))) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64)) (neg.f64 (.f64 y y)))) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64)) (neg.f64 (-.f64 #s(literal 1/2 binary64) y))))
(/.f64 (-.f64 (.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) y)) (.f64 y y))) (.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 (-.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 y y))) (.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64))) (.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 y y))))
(/.f64 (-.f64 (.f64 #s(literal -1/4 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) y))) (.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) y)) (neg.f64 (.f64 y y)))) (.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) y)) (neg.f64 (-.f64 #s(literal 1/2 binary64) y))))
(/.f64 (-.f64 (.f64 (.f64 y y) (+.f64 y #s(literal -1/2 binary64))) (.f64 (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (+.f64 y #s(literal -1/2 binary64)) (+.f64 y #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 y y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 1/512 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) #s(literal 1/64 binary64)) (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 #s(literal 1/8 binary64) (.f64 y (*.f64 y y))) (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (.f64 y y) (fma.f64 y y #s(literal 1/4 binary64)) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/2 binary64) y))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/16 binary64) (.f64 y (.f64 y (.f64 y y)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 y y #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (+.f64 y #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)))) (.f64 (/.f64 (.f64 y y) (-.f64 #s(literal 1/2 binary64) y)) (.f64 (/.f64 (.f64 y y) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (.f64 y y) (-.f64 #s(literal 1/2 binary64) y)))))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (fma.f64 (/.f64 (.f64 y y) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (.f64 y y) (-.f64 #s(literal 1/2 binary64) y)) (.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1/2 binary64) y)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y))) (.f64 (/.f64 (.f64 y y) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (.f64 y y) (-.f64 #s(literal 1/2 binary64) y))))) (neg.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (neg.f64 (.f64 (fma.f64 y (.f64 y y) #s(literal 1/8 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 1/512 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))) (neg.f64 (fma.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64)) #s(literal 1/64 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))) (neg.f64 (-.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)))) (neg.f64 (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1/4 binary64)) #s(literal 1/16 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/16 binary64) (.f64 y (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)))) (neg.f64 (fma.f64 y y #s(literal 1/4 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 y #s(literal -1/2 binary64)) (fma.f64 y y #s(literal -1/4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 y (.f64 y y) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)))
(.f64 (fma.f64 (.f64 y y) (neg.f64 y) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))))
(.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) y))))
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (fma.f64 y (.f64 y y) #s(literal 1/8 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) #s(literal 1/8 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal 1/4 binary64) (.f64 y y)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 y y))) #s(literal -1 binary64)))
(*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (+.f64 y #s(literal 1/2 binary64)))
(.f64 (/.f64 (fma.f64 y (.f64 y y) #s(literal 1/8 binary64)) (fma.f64 (.f64 y (.f64 y y)) (.f64 (+.f64 y #s(literal -1/2 binary64)) (.f64 (+.f64 y #s(literal -1/2 binary64)) (+.f64 y #s(literal -1/2 binary64)))) #s(literal 1/64 binary64))) (fma.f64 (.f64 y (+.f64 y #s(literal -1/2 binary64))) (-.f64 (.f64 y (+.f64 y #s(literal -1/2 binary64))) #s(literal 1/4 binary64)) #s(literal 1/16 binary64)))
(.f64 (/.f64 (fma.f64 y (.f64 y y) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 y (+.f64 y #s(literal -1/2 binary64))) (.f64 y (+.f64 y #s(literal -1/2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (.f64 y (+.f64 y #s(literal -1/2 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (-.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y)))) (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1/4 binary64)) #s(literal 1/16 binary64))))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/16 binary64) (.f64 y (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1/4 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 1/512 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64)) #s(literal 1/64 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y)))))

simplify239.0ms (4.3%)

Memory

17.4MiB live, 321.8MiB allocated

Algorithm

1×	egg-herbie

Rules

5 686×	`accelerator-lowering-fma.f32`
5 686×	`accelerator-lowering-fma.f64`
3 028×	`-lowering-.f32`
3 028×	`-lowering-.f64`
1 242×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	472
1	200	472
2	512	472
3	1443	472
4	3340	472
5	5364	472
6	7160	472
7	7989	472
0	8039	427

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

eval104.0ms (1.9%)

Memory: 7.8MiB live, 168.0MiB allocated
Compiler: Compiled 12 469 to 1 208 computations (90.3% saved)

prune135.0ms (2.4%)

Memory

-29.5MiB live, 107.2MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	554	2	556
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	555	6	561

Accuracy

100.0%

Counts

561 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.6%	(fma.f64 y x z)
✓	65.5%	(fma.f64 x #s(literal 1/2 binary64) z)
✓	60.6%	(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
✓	36.9%	(*.f64 x y)
▶	26.4%	(*.f64 x #s(literal 1/2 binary64))
✓	41.1%	z

Compiler

Compiled 38 to 27 computations (28.9% saved)

simplify4.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

8×	`-lowering-.f32`
8×	`-lowering-.f64`
4×	`*-commutative`
4×	`+-lowering-+.f64`
4×	`+-lowering-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	10	13
0	10	12

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* x 1/2)
x
1/2
(+ (* y x) z)
y
x
z

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

localize20.0ms (0.4%)

Memory

0.0MiB live, 37.6MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

12.0ms

256×

valid

Compiler

Compiled 14 to 9 computations (35.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (62% of total)

ival-add: 1.0ms (20.7% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Counts

2 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite586.0ms (10.5%)

Memory

42.0MiB live, 785.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

18 338×	`accelerator-lowering-fma.f32`
18 338×	`accelerator-lowering-fma.f64`
4 376×	`-lowering-.f32`
4 376×	`-lowering-.f64`
3 924×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	23	8
2	153	8
3	1487	8
0	8315	7

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 213

Calls

Call 1

Inputs
(* x 1/2)
(+ (* y x) z)

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

simplify672.0ms (12.1%)

Memory

-18.3MiB live, 778.9MiB allocated

Algorithm

1×	egg-herbie

Rules

29 446×	`accelerator-lowering-fma.f32`
29 446×	`accelerator-lowering-fma.f64`
3 824×	`+-lowering-+.f64`
3 824×	`+-lowering-+.f32`
2 912×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	190
1	106	190
2	287	190
3	739	190
4	2060	190
5	3234	190
6	4834	190
7	5836	190
8	6509	190
9	6762	190
0	8782	163

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(* 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)
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* x y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
z
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))

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

eval30.0ms (0.5%)

Memory: -5.6MiB live, 73.8MiB allocated
Compiler: Compiled 9 776 to 502 computations (94.9% saved)

prune53.0ms (0.9%)

Memory

15.2MiB live, 93.1MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	261	0	261
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	261	6	267

Accuracy

100.0%

Counts

267 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	75.6%	(fma.f64 y x z)
✓	65.5%	(fma.f64 x #s(literal 1/2 binary64) z)
✓	60.6%	(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
✓	36.9%	(*.f64 x y)
✓	26.4%	(*.f64 x #s(literal 1/2 binary64))
✓	41.1%	z

Compiler

Compiled 75 to 43 computations (42.7% saved)

regimes42.0ms (0.8%)

Memory

7.8MiB live, 44.9MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

29.0ms	z
3.0ms	x
3.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
3.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
3.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
100.0%	1	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes53.0ms (0.9%)

Memory

-43.0MiB live, 30.7MiB allocated

Counts

7 → 3

Calls

Call 1

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

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

Calls

5 calls:

40.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
3.0ms	z
3.0ms	x
3.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
3.0ms	y

Results

Accuracy	Segments	Branch
85.2%	3	`x`
99.7%	3	`y`
86.3%	3	`z`
84.1%	3	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
86.6%	3	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes7.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
65.5%	1	`z`
83.3%	3	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
85.8%	3	`y`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes27.0ms (0.5%)

Memory

-17.7MiB live, 22.1MiB allocated

Counts

3 → 5

Calls

Call 1

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

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

Calls

5 calls:

19.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
2.0ms	z
2.0ms	y
2.0ms	x
2.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))

Results

Accuracy	Segments	Branch
58.2%	3	`z`
66.9%	5	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
54.9%	3	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
56.2%	3	`x`
65.8%	5	`y`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes8.0ms (0.2%)

Memory

26.5MiB live, 26.5MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

5 calls:

2.0ms	z
2.0ms	y
2.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
2.0ms	x
1.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)

Results

Accuracy	Segments	Branch
41.1%	1	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
50.7%	3	`x`
52.4%	3	`z`
45.3%	3	`y`
48.2%	3	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes7.0ms (0.1%)

Memory

-19.9MiB live, 18.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

4 calls:

2.0ms	z
1.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
41.1%	1	`y`
41.1%	1	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
41.1%	1	`x`
41.1%	1	`z`

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch25.0ms (0.4%)

Memory

15.7MiB live, 54.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	8.954949713865152e-21	1.354941464330278e-16
12.0ms	-267767574912676.5	-50578990.9455719

Samples

14.0ms

272×

valid

Compiler

Compiled 287 to 201 computations (30% saved)

Precisions

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

ival-div: 2.0ms (31.1% of total)

ival-add: 2.0ms (31.1% of total)

ival-mult: 2.0ms (31.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch25.0ms (0.4%)

Memory

2.0MiB live, 43.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	3.7425311992851643e+77	1.4634234389516536e+79
14.0ms	-267767574912676.5	-50578990.9455719

Samples

14.0ms

256×

valid

Compiler

Compiled 255 to 190 computations (25.5% saved)

Precisions

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

ival-div: 2.0ms (33.8% of total)

ival-add: 2.0ms (33.8% of total)

ival-mult: 2.0ms (33.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.3455493868460638e+247	1.8610929392573403e+251
0.0ms	5.535182385813345e+131	2.377255276334336e+133
0.0ms	-4.880705903022609e+121	-6.562018508168749e+112
0.0ms	-2.2651406275861673e+246	-3.041060475250674e+245

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch27.0ms (0.5%)

Memory

-26.7MiB live, 48.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	8.09310509000667e-97	1.6395208211143833e-93
13.0ms	-2.0029394278892767e-66	-2.5449389017933187e-73

Samples

15.0ms

272×

valid

Compiler

Compiled 219 to 184 computations (16% saved)

Precisions

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

ival-div: 2.0ms (31.4% of total)

ival-add: 2.0ms (31.4% of total)

ival-mult: 2.0ms (31.4% of total)

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

exact: 0.0ms (0% of total)

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

simplify9.0ms (0.2%)

Memory

23.5MiB live, 23.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`if-if-or-not_binary32`
4×	`*-commutative_binary64`
4×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	109
1	57	109

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
(if (<=.f64 y #s(literal -52000000 binary64)) (fma.f64 y x z) (if (<=.f64 y #s(literal 2636713248474717/20282409603651670423947251286016 binary64)) (fma.f64 x #s(literal 1/2 binary64) z) (fma.f64 y x z)))
(if (<=.f64 y #s(literal -23000000000000 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 399999999999999993113045090218343426990990578856063590215900480871244616433664 binary64)) (fma.f64 x #s(literal 1/2 binary64) z) (.f64 x y)))
(if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal -2000000000000000137172103703564102993414188346625929973381646791516038639747754425505775838752679231688970493666459275394749789597812172229456459932366192699143082941239010020801269538891555886778514937042106442934926263917068257100320412740354048 binary64)) (.f64 x y) (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal -40000000000000001493637349885839558877573103017967281524110921641512020322685988405514453485684505660209596117368768036864 binary64)) (.f64 x #s(literal 1/2 binary64)) (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) z (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal 19999999999999999042943898584577627210672650772505466848487442240115469688899487215981329357961462820572091693694875828215901850281511913037194533151440339824999916850618391401330231357640700542387220923023397191454763848595979444663933846679453696 binary64)) (.f64 x #s(literal 1/2 binary64)) (.f64 x y)))))
(if (<=.f64 z #s(literal -1942668892225729/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) z (if (<=.f64 z #s(literal 3170532486744675/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) (*.f64 x #s(literal 1/2 binary64)) z))
z

Outputs
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 x y)) z)
(if (<=.f64 y #s(literal -52000000 binary64)) (fma.f64 y x z) (if (<=.f64 y #s(literal 2636713248474717/20282409603651670423947251286016 binary64)) (fma.f64 x #s(literal 1/2 binary64) z) (fma.f64 y x z)))
(if (<=.f64 y #s(literal -23000000000000 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 399999999999999993113045090218343426990990578856063590215900480871244616433664 binary64)) (fma.f64 x #s(literal 1/2 binary64) z) (.f64 x y)))
(if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal -2000000000000000137172103703564102993414188346625929973381646791516038639747754425505775838752679231688970493666459275394749789597812172229456459932366192699143082941239010020801269538891555886778514937042106442934926263917068257100320412740354048 binary64)) (.f64 x y) (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal -40000000000000001493637349885839558877573103017967281524110921641512020322685988405514453485684505660209596117368768036864 binary64)) (.f64 x #s(literal 1/2 binary64)) (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) z (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal 19999999999999999042943898584577627210672650772505466848487442240115469688899487215981329357961462820572091693694875828215901850281511913037194533151440339824999916850618391401330231357640700542387220923023397191454763848595979444663933846679453696 binary64)) (.f64 x #s(literal 1/2 binary64)) (.f64 x y)))))
(if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 x y)) #s(literal -2000000000000000137172103703564102993414188346625929973381646791516038639747754425505775838752679231688970493666459275394749789597812172229456459932366192699143082941239010020801269538891555886778514937042106442934926263917068257100320412740354048 binary64)) (.f64 x y) (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 x y)) #s(literal -40000000000000001493637349885839558877573103017967281524110921641512020322685988405514453485684505660209596117368768036864 binary64)) (.f64 x #s(literal 1/2 binary64)) (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 x y)) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) z (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 x y)) #s(literal 19999999999999999042943898584577627210672650772505466848487442240115469688899487215981329357961462820572091693694875828215901850281511913037194533151440339824999916850618391401330231357640700542387220923023397191454763848595979444663933846679453696 binary64)) (.f64 x #s(literal 1/2 binary64)) (.f64 x y)))))
(if (<=.f64 z #s(literal -1942668892225729/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) z (if (<=.f64 z #s(literal 3170532486744675/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) (*.f64 x #s(literal 1/2 binary64)) z))
z

soundness1.1s (18.9%)

Memory

-18.4MiB live, 504.6MiB allocated

Rules

6 658×	`accelerator-lowering-fma.f32`
6 658×	`accelerator-lowering-fma.f64`
6 434×	`accelerator-lowering-fma.f32`
6 434×	`accelerator-lowering-fma.f64`
5 686×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	55	21
2	406	21
3	4011	21
0	9566	19
0	62	472
1	200	472
2	512	472
3	1443	472
4	3340	472
5	5364	472
6	7160	472
7	7989	472
0	8039	427
0	57	440
1	174	440
2	488	440
3	1310	440
4	3612	440
5	6659	440
0	8189	412

Stop Event

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

Compiler

Compiled 196 to 98 computations (50% saved)

preprocess42.0ms (0.8%)

Memory: 1.4MiB live, 120.6MiB allocated
Compiler: Compiled 258 to 100 computations (61.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.1s (19.3%)

preprocess87.0ms (1.6%)

explain102.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize23.0ms (0.4%)

series6.0ms (0.1%)

rewrite308.0ms (5.5%)

simplify212.0ms (3.8%)

eval37.0ms (0.7%)

prune41.0ms (0.7%)

simplify6.0ms (0.1%)

localize31.0ms (0.6%)

series4.0ms (0.1%)

rewrite461.0ms (8.3%)

simplify239.0ms (4.3%)

eval104.0ms (1.9%)

prune135.0ms (2.4%)

simplify4.0ms (0.1%)

localize20.0ms (0.4%)

series1.0ms (0%)

rewrite586.0ms (10.5%)

simplify672.0ms (12.1%)

eval30.0ms (0.5%)

prune53.0ms (0.9%)

regimes42.0ms (0.8%)

regimes53.0ms (0.9%)

regimes7.0ms (0.1%)

regimes27.0ms (0.5%)

regimes8.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch25.0ms (0.4%)

bsearch25.0ms (0.4%)

bsearch1.0ms (0%)

bsearch27.0ms (0.5%)

simplify9.0ms (0.2%)

soundness1.1s (18.9%)

preprocess42.0ms (0.8%)

end0.0ms (0%)

Profiling