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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample910.0ms (10.1%)

Memory

24.6MiB live, 1 166.7MiB allocated

Samples

719.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 230.0ms

ival-div: 87.0ms (37.8% of total)

ival-add: 81.0ms (35.2% of total)

ival-mult: 50.0ms (21.7% of total)

ival-true: 5.0ms (2.2% of total)

exact: 4.0ms (1.7% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

preprocess84.0ms (0.9%)

Memory

-11.1MiB live, 27.9MiB 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 y) (+.f64 (/.f64 x #s(literal 2 binary64)) 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)))

explain151.0ms (1.7%)

Memory

-13.3MiB live, 205.6MiB 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

29.0ms

512×

valid

Compiler

Compiled 80 to 36 computations (55% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 4.0ms (31% of total)

ival-add: 4.0ms (31% of total)

ival-mult: 4.0ms (31% 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB 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)

simplify5.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

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

localize108.0ms (1.2%)

Memory

-1.7MiB live, 40.9MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

100.0ms

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 (34.9% of total)

ival-add: 2.0ms (34.9% of total)

ival-mult: 2.0ms (34.9% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

-28.7MiB live, 10.7MiB allocated

Counts

4 → 96

Calls

Call 1

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

Outputs
#<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 (* 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 (* 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
5.0ms	x	@	inf	(+ (/ x 2) (* y x))
1.0ms	x	@	-inf	(/ x 2)
1.0ms	x	@	inf	(+ (+ (/ x 2) (* y x)) z)
0.0ms	y	@	0	(+ (+ (/ x 2) (* y x)) z)
0.0ms	x	@	0	(+ (+ (/ x 2) (* y x)) z)

rewrite656.0ms (7.3%)

Memory

14.1MiB live, 558.2MiB 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)) z)
(+ (/ x 2) (* y x))
(/ x 2)
(* y x)

Outputs
(+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 x y) z))
(+.f64 (*.f64 x y) (+.f64 (/.f64 x #s(literal 2 binary64)) z))
(+.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z)
(+.f64 z (*.f64 x (+.f64 y #s(literal 1/2 binary64))))
(+.f64 (+.f64 (*.f64 x y) z) (/.f64 x #s(literal 2 binary64)))
(+.f64 (/.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))) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z))))
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) z) (*.f64 x y))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z))) #s(literal -1 binary64)))
(-.f64 (+.f64 (*.f64 x y) z) (/.f64 x #s(literal -2 binary64)))
(-.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y))) (-.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) z))
(-.f64 (/.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))) z)) (/.f64 (.f64 z z) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z)))
(-.f64 (/.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (-.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) z)) (/.f64 (.f64 (+.f64 (.f64 x y) z) (+.f64 (.f64 x y) z)) (-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) z)))
(-.f64 (/.f64 (.f64 z z) (-.f64 z (.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 z (.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(-.f64 (+.f64 z (.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)))) (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(fma.f64 x y (+.f64 (/.f64 x #s(literal 2 binary64)) z))
(fma.f64 x #s(literal 1/2 binary64) (+.f64 (*.f64 x y) z))
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)
(fma.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (+.f64 (*.f64 x y) z))
(fma.f64 y x (+.f64 (/.f64 x #s(literal 2 binary64)) z))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) z))
(fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1/2 binary64) y))) z)
(fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (/.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z))))
(fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) z)
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64) (+.f64 (*.f64 x y) z))
(fma.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64)))))) z)
(fma.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64))))) (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64))))))) z)
(fma.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64))))) (/.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x y) (*.f64 x (-.f64 y #s(literal 1/2 binary64)))))) z)
(fma.f64 (.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z))))
(fma.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 x y) z))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (+.f64 (/.f64 x #s(literal 2 binary64)) z))
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z)
(fma.f64 #s(literal 1/2 binary64) x (+.f64 (*.f64 x y) z))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x y) z))
(fma.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1/2 binary64) y)) z)
(fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64)) (+.f64 (*.f64 x y) z))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64))))))) z)
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1/2 binary64) y))) z)
(fma.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 z (-.f64 z (.f64 x y))))) (/.f64 x #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64)))))) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64))) z)
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1/2 binary64) y)) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) z)
(fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 x y) z))
(fma.f64 (.f64 (.f64 x x) (-.f64 (.f64 y y) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 y #s(literal 1/2 binary64)))) z)
(fma.f64 (-.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z)) (/.f64 x #s(literal 2 binary64)))
(fma.f64 (+.f64 y #s(literal 1/2 binary64)) x z)
(fma.f64 (/.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) x) (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal 1/2 binary64) y)) z)
(fma.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (+.f64 (*.f64 x y) z))
(fma.f64 (*.f64 #s(literal 1 binary64) y) x (+.f64 (/.f64 x #s(literal 2 binary64)) z))
(fma.f64 (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y))) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y)))) (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z)
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(fma.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 x y))
(fma.f64 (*.f64 #s(literal 1 binary64) y) x (/.f64 x #s(literal 2 binary64)))
(fma.f64 (/.f64 (/.f64 x (/.f64 #s(literal 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 4 binary64) x)) (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y))))) (+.f64 (/.f64 x (/.f64 #s(literal 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 (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64))))))
(/.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 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y)))) (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 (+.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.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 x y) (.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))))) (.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64))))) (+.f64 (.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 8 binary64)))))))
(/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (.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 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64))))) (.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)) (+.f64 (.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)) (+.f64 (.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)))))))
(/.f64 (.f64 (.f64 x x) (-.f64 (.f64 y y) #s(literal 1/4 binary64))) (.f64 x (-.f64 y #s(literal 1/2 binary64))))
(/.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 y y))) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y)))) (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 y y)))))
(/.f64 (-.f64 (.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 x (.f64 x (.f64 y y))))) (.f64 x (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y))))) (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1/2 binary64) y))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 (.f64 y y) #s(literal 1/4 binary64)))) (neg.f64 (.f64 x (-.f64 y #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) x) (-.f64 #s(literal 1/2 binary64) y))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y))) (.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (.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 (.f64 x x) x) (/.f64 #s(literal 1/4 binary64) (-.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 (.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y))) (.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)))) (.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (.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 (.f64 x x) x) (/.f64 #s(literal 1/4 binary64) (-.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 (.f64 x (.f64 x x)) (+.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x y) (*.f64 x (-.f64 y #s(literal 1/2 binary64))))))
(/.f64 (.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y))) #s(literal 1 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 (.f64 (+.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.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 x y) (.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64))))))) (+.f64 (.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 8 binary64))))))
(/.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (.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 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64))))))) (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y)))))
(/.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (.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 #s(literal 1 binary64) x) (-.f64 #s(literal 1/2 binary64) y))) (+.f64 (.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))))))
(/.f64 (.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 y y))) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1/2 binary64) y))) (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 y y))))
(pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 x (-.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 y y) #s(literal 1/4 binary64)))) #s(literal -1 binary64))
(*.f64 x (+.f64 y #s(literal 1/2 binary64)))
(.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1/2 binary64) y))))
(.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x y) (*.f64 x (-.f64 y #s(literal 1/2 binary64)))))))
(.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64))))) (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x y) (*.f64 x (-.f64 y #s(literal 1/2 binary64))))))))
(.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64))))) (/.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64)))))))
(.f64 #s(literal 1 binary64) (.f64 x (+.f64 y #s(literal 1/2 binary64))))
(.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1/2 binary64) y)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x y) (*.f64 x (-.f64 y #s(literal 1/2 binary64))))))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1/2 binary64) y))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64)))))) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 y (*.f64 y y)) #s(literal 1/8 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1/2 binary64) y)) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y))))
(.f64 (.f64 (.f64 x x) (-.f64 (.f64 y y) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y #s(literal 1/2 binary64)))))
(*.f64 (+.f64 y #s(literal 1/2 binary64)) x)
(.f64 (/.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) x) (/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal 1/2 binary64) y)))
(.f64 (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y))) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y)))) (.f64 x (+.f64 y #s(literal 1/2 binary64))))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/64 binary64)) (.f64 (.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64)))) (.f64 (.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64)))) (.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64)))))))) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/16 binary64)) (.f64 (.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64)))) (-.f64 (.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64)))) (/.f64 x (/.f64 #s(literal 4 binary64) x))))))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/16 binary64)) (.f64 (.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64)))) (.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64))))))) (-.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64))))))
(.f64 (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y))))) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x y) (.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal -2 binary64)))
(neg.f64 (/.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) 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 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 2 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 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 -2 binary64)))
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x #s(literal 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)

simplify916.0ms (10.2%)

Memory

25.6MiB live, 425.2MiB 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	1318	440
4	3632	440
5	6705	440
0	8250	412

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

eval49.0ms (0.5%)

Memory: -9.4MiB live, 118.9MiB allocated
Compiler: Compiled 8 223 to 760 computations (90.8% saved)

prune41.0ms (0.5%)

Memory

15.1MiB live, 128.6MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	332	6	338
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	332	7	339

Accuracy

100.0%

Counts

339 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.4%	(/.f64 (-.f64 (.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64))))) (.f64 z z)) (-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z))
✓	100.0%	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
▶	73.1%	(+.f64 (*.f64 x y) z)
▶	68.6%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
▶	59.8%	(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
▶	33.8%	(*.f64 x y)
▶	41.8%	z

Compiler

Compiled 132 to 80 computations (39.4% saved)

simplify8.0ms (0.1%)

Memory

-28.9MiB live, 15.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
✓	cost-diff	(+.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
✓	cost-diff	(*.f64 x y)
✓	cost-diff	(*.f64 x y)
✓	cost-diff	(+.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	39
1	18	39
2	19	39
0	19	37

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

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

localize32.0ms (0.4%)

Memory

15.2MiB live, 93.3MiB allocated

Localize:

Found 7 expressions of interest:

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

Samples

19.0ms

256×

valid

Compiler

Compiled 41 to 12 computations (70.7% saved)

Precisions

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

ival-mult: 5.0ms (61.6% of total)

ival-add: 3.0ms (37% 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%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

6 → 132

Calls

Call 1

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

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 (* 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))))>
#<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 (* 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)>

Calls

33 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	y	@	-inf	(* x (+ 1/2 y))
0.0ms	x	@	-inf	(* x (+ 1/2 y))

rewrite428.0ms (4.8%)

Memory

-20.4MiB live, 652.7MiB 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	24
1	55	24
2	406	24
3	4014	24
0	9583	22

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 412

Calls

Call 1

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

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

simplify247.0ms (2.7%)

Memory

31.5MiB live, 391.5MiB 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`
1 240×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	508
1	200	508
2	512	508
3	1440	508
4	3343	508
5	5374	508
6	7166	508
7	7996	508
0	8046	463

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

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)
(* 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))))
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)))
(* 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)

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

eval67.0ms (0.7%)

Memory: -1.2MiB live, 152.1MiB allocated
Compiler: Compiled 13 137 to 1 240 computations (90.6% saved)

prune62.0ms (0.7%)

Memory

-13.3MiB live, 144.6MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	575	2	577
Fresh	0	1	1
Picked	0	5	5
Done	1	0	1
Total	576	8	584

Accuracy

100.0%

Counts

584 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.4%	(/.f64 (-.f64 (.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64))))) (.f64 z z)) (-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z))
▶	59.8%	(+.f64 (.f64 x y) (.f64 x #s(literal 1/2 binary64)))
✓	73.1%	(+.f64 (*.f64 x y) z)
✓	68.6%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
✓	59.8%	(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
✓	33.8%	(*.f64 x y)
▶	28.8%	(*.f64 x #s(literal 1/2 binary64))
✓	41.8%	z

Compiler

Compiled 76 to 48 computations (36.8% saved)

simplify618.0ms (6.9%)

Memory

21.4MiB live, 1 014.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64))))
✓	cost-diff	0	(.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
✓	cost-diff	0	(-.f64 (.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64))))) (.f64 z z))
✓	cost-diff	1024	(/.f64 (-.f64 (.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64))))) (.f64 z z)) (-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	128	(+.f64 (.f64 x y) (.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))

Rules

23 520×	`accelerator-lowering-fma.f32`
23 520×	`accelerator-lowering-fma.f64`
4 894×	`-lowering-.f32`
4 894×	`-lowering-.f64`
3 096×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	99
1	34	99
2	99	99
3	344	85
4	1031	83
5	3650	83
0	8144	81

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize48.0ms (0.5%)

Memory

2.5MiB live, 122.3MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64))))
✓	accuracy	97.0%	(.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
✓	accuracy	91.2%	(-.f64 (.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64))))) (.f64 z z))
✓	accuracy	49.6%	(/.f64 (-.f64 (.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64))))) (.f64 z z)) (-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 x y) (.f64 x #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))

Samples

29.0ms

256×

valid

Compiler

Compiled 103 to 17 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 8.0ms (53.9% of total)

ival-add: 3.0ms (20.2% of total)

ival-sub: 2.0ms (13.5% of total)

ival-div: 2.0ms (13.5% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.2%)

Memory

-9.1MiB live, 30.4MiB allocated

Counts

7 → 180

Calls

Call 1

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

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

Calls

45 calls:

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

rewrite859.0ms (9.5%)

Memory

-155.6MiB live, 1 120.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 530×	`accelerator-lowering-fma.f32`
10 530×	`accelerator-lowering-fma.f64`
5 556×	`-lowering-.f32`
5 556×	`-lowering-.f64`
3 602×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	69
1	95	45
2	857	43
0	8447	42

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 656

Calls

Call 1

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

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

simplify553.0ms (6.1%)

Memory

20.9MiB live, 1 085.0MiB allocated

Algorithm

1×	egg-herbie

Rules

14 836×	`accelerator-lowering-fma.f32`
14 836×	`accelerator-lowering-fma.f64`
5 698×	`-lowering-.f32`
5 698×	`-lowering-.f64`
4 916×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	210	2151
1	693	2086
2	2360	1957
0	8315	1893

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

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)
(* 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)))))
(* 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 (* 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))))
(* x (+ 1/2 y))
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))
(/ (- (* 1/4 (pow x 2)) (pow z 2)) (- (* 1/2 x) z))
(- (+ (* 1/4 (/ (pow x 2) (- (* 1/2 x) z))) (* y (- (/ (pow x 2) (- (* 1/2 x) z)) (/ (* x (- (* 1/4 (pow x 2)) (pow z 2))) (pow (- (* 1/2 x) z) 2))))) (/ (pow z 2) (- (* 1/2 x) z)))
(- (+ (* 1/4 (/ (pow x 2) (- (* 1/2 x) z))) (* y (- (+ (* y (- (/ (pow x 2) (- (* 1/2 x) z)) (/ (* x (- (/ (pow x 2) (- (* 1/2 x) z)) (/ (* x (- (* 1/4 (pow x 2)) (pow z 2))) (pow (- (* 1/2 x) z) 2)))) (- (* 1/2 x) z)))) (/ (pow x 2) (- (* 1/2 x) z))) (/ (* x (- (* 1/4 (pow x 2)) (pow z 2))) (pow (- (* 1/2 x) z) 2))))) (/ (pow z 2) (- (* 1/2 x) z)))
(- (+ (* 1/4 (/ (pow x 2) (- (* 1/2 x) z))) (* y (- (+ (* y (- (+ (* -1 (/ (* x (* y (- (/ (pow x 2) (- (* 1/2 x) z)) (/ (* x (- (/ (pow x 2) (- (* 1/2 x) z)) (/ (* x (- (* 1/4 (pow x 2)) (pow z 2))) (pow (- (* 1/2 x) z) 2)))) (- (* 1/2 x) z))))) (- (* 1/2 x) z))) (/ (pow x 2) (- (* 1/2 x) z))) (/ (* x (- (/ (pow x 2) (- (* 1/2 x) z)) (/ (* x (- (* 1/4 (pow x 2)) (pow z 2))) (pow (- (* 1/2 x) z) 2)))) (- (* 1/2 x) z)))) (/ (pow x 2) (- (* 1/2 x) z))) (/ (* x (- (* 1/4 (pow x 2)) (pow z 2))) (pow (- (* 1/2 x) z) 2))))) (/ (pow z 2) (- (* 1/2 x) z)))
(* x y)
(* y (- (+ x (+ (/ x y) (/ z y))) (* 1/2 (/ x y))))
(* y (- (+ x (+ (* 1/4 (/ x (pow y 2))) (+ (/ x y) (/ z y)))) (+ (* 1/2 (/ x y)) (+ (/ (* (- (* 1/2 x) z) (- (+ x z) (* 1/2 x))) (* x (pow y 2))) (/ (pow z 2) (* x (pow y 2)))))))
(* y (- (+ x (+ (* -1 (/ (* (- (* 1/4 x) (+ (/ (* (- (* 1/2 x) z) (- (+ x z) (* 1/2 x))) x) (/ (pow z 2) x))) (- (* 1/2 x) z)) (* x (pow y 3)))) (+ (* 1/4 (/ x (pow y 2))) (+ (/ x y) (/ z y))))) (+ (* 1/2 (/ x y)) (+ (/ (* (- (* 1/2 x) z) (- (+ x z) (* 1/2 x))) (* x (pow y 2))) (/ (pow z 2) (* x (pow y 2)))))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ x z) (* 1/2 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ x (+ z (* -1 (/ (- (* -1 (/ (- (* 1/4 (pow x 2)) (pow z 2)) x)) (* -1 (/ (* (- (* 1/2 x) z) (- (+ x z) (* 1/2 x))) x))) y)))) (* 1/2 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ x (+ z (* -1 (/ (- (+ (* -1 (/ (* (- (* -1 (/ (- (* 1/4 (pow x 2)) (pow z 2)) x)) (* -1 (/ (* (- (* 1/2 x) z) (- (+ x z) (* 1/2 x))) x))) (- (* 1/2 x) z)) (* x y))) (* -1 (/ (- (* 1/4 (pow x 2)) (pow z 2)) x))) (* -1 (/ (* (- (* 1/2 x) z) (- (+ x z) (* 1/2 x))) x))) y)))) (* 1/2 x)) y)))))
(* x (+ 1/2 y))
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
z
(* z (+ 1 (/ (* x (+ 1/2 y)) z)))
(* z (+ 1 (/ (* x (+ 1/2 y)) z)))
(* z (+ 1 (/ (* x (+ 1/2 y)) z)))
z
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))
(* -1 (pow z 2))
(- (* (pow x 2) (pow (+ 1/2 y) 2)) (pow z 2))
(- (* (pow x 2) (pow (+ 1/2 y) 2)) (pow z 2))
(- (* (pow x 2) (pow (+ 1/2 y) 2)) (pow z 2))
(* (pow x 2) (pow (+ 1/2 y) 2))
(* (pow x 2) (+ (* -1 (/ (pow z 2) (pow x 2))) (pow (+ 1/2 y) 2)))
(* (pow x 2) (+ (* -1 (/ (pow z 2) (pow x 2))) (pow (+ 1/2 y) 2)))
(* (pow x 2) (+ (* -1 (/ (pow z 2) (pow x 2))) (pow (+ 1/2 y) 2)))
(* (pow x 2) (pow (+ 1/2 y) 2))
(* (pow x 2) (+ (* -1 (/ (pow z 2) (pow x 2))) (pow (+ 1/2 y) 2)))
(* (pow x 2) (+ (* -1 (/ (pow z 2) (pow x 2))) (pow (+ 1/2 y) 2)))
(* (pow x 2) (+ (* -1 (/ (pow z 2) (pow x 2))) (pow (+ 1/2 y) 2)))
(- (* 1/4 (pow x 2)) (pow z 2))
(- (+ (* 1/4 (pow x 2)) (* (pow x 2) y)) (pow z 2))
(- (+ (* 1/4 (pow x 2)) (* y (+ (* (pow x 2) y) (pow x 2)))) (pow z 2))
(- (+ (* 1/4 (pow x 2)) (* y (+ (* (pow x 2) y) (pow x 2)))) (pow z 2))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (/ (pow x 2) y) (pow x 2)))
(* (pow y 2) (- (+ (* 1/4 (/ (pow x 2) (pow y 2))) (+ (/ (pow x 2) y) (pow x 2))) (/ (pow z 2) (pow y 2))))
(* (pow y 2) (- (+ (* 1/4 (/ (pow x 2) (pow y 2))) (+ (/ (pow x 2) y) (pow x 2))) (/ (pow z 2) (pow y 2))))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (/ (pow x 2) y) (pow x 2)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/4 (pow x 2)) (pow z 2)) y)) (* -1 (pow x 2))) y)) (pow x 2)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/4 (pow x 2)) (pow z 2)) y)) (* -1 (pow x 2))) y)) (pow x 2)))
(* (pow x 2) (pow (+ 1/2 y) 2))
(+ (* -1 (pow z 2)) (* (pow x 2) (pow (+ 1/2 y) 2)))
(+ (* -1 (pow z 2)) (* (pow x 2) (pow (+ 1/2 y) 2)))
(+ (* -1 (pow z 2)) (* (pow x 2) (pow (+ 1/2 y) 2)))
(* -1 (pow z 2))
(* (pow z 2) (- (/ (* (pow x 2) (pow (+ 1/2 y) 2)) (pow z 2)) 1))
(* (pow z 2) (- (/ (* (pow x 2) (pow (+ 1/2 y) 2)) (pow z 2)) 1))
(* (pow z 2) (- (/ (* (pow x 2) (pow (+ 1/2 y) 2)) (pow z 2)) 1))
(* -1 (pow z 2))
(* (pow z 2) (- (/ (* (pow x 2) (pow (+ 1/2 y) 2)) (pow z 2)) 1))
(* (pow z 2) (- (/ (* (pow x 2) (pow (+ 1/2 y) 2)) (pow z 2)) 1))
(* (pow z 2) (- (/ (* (pow x 2) (pow (+ 1/2 y) 2)) (pow z 2)) 1))
(* (pow x 2) (pow (+ 1/2 y) 2))
(* (pow x 2) (pow (+ 1/2 y) 2))
(* (pow x 2) (pow (+ 1/2 y) 2))
(* (pow x 2) (pow (+ 1/2 y) 2))
(* (pow x 2) (pow (+ 1/2 y) 2))
(* (pow x 2) (pow (+ 1/2 y) 2))
(* (pow x 2) (pow (+ 1/2 y) 2))
(* (pow x 2) (pow (+ 1/2 y) 2))
(* (pow x 2) (pow (+ 1/2 y) 2))
(* (pow x 2) (pow (+ 1/2 y) 2))
(* (pow x 2) (pow (+ 1/2 y) 2))
(* (pow x 2) (pow (+ 1/2 y) 2))
(* 1/4 (pow x 2))
(+ (* 1/4 (pow x 2)) (* (pow x 2) y))
(+ (* 1/4 (pow x 2)) (* y (+ (* (pow x 2) y) (pow x 2))))
(+ (* 1/4 (pow x 2)) (* y (+ (* (pow x 2) y) (pow x 2))))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (/ (pow x 2) y) (pow x 2)))
(* (pow y 2) (+ (* 1/4 (/ (pow x 2) (pow y 2))) (+ (/ (pow x 2) y) (pow x 2))))
(* (pow y 2) (+ (* 1/4 (/ (pow x 2) (pow y 2))) (+ (/ (pow x 2) y) (pow x 2))))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (/ (pow x 2) y) (pow x 2)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (pow x 2)) (* -1/4 (/ (pow x 2) y))) y)) (pow x 2)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (pow x 2)) (* -1/4 (/ (pow x 2) y))) y)) (pow x 2)))
(* 1/4 x)
(+ (* 1/4 x) (* x y))
(+ (* 1/4 x) (* y (+ x (* x y))))
(+ (* 1/4 x) (* y (+ x (* x y))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x y)))
(* (pow y 2) (+ x (+ (* 1/4 (/ x (pow y 2))) (/ x y))))
(* (pow y 2) (+ x (+ (* 1/4 (/ x (pow y 2))) (/ x y))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x y)))
(* (pow y 2) (+ x (* -1 (/ (+ (* -1 x) (* -1/4 (/ x y))) y))))
(* (pow y 2) (+ x (* -1 (/ (+ (* -1 x) (* -1/4 (/ x y))) y))))
(* x (pow (+ 1/2 y) 2))
(* x (pow (+ 1/2 y) 2))
(* x (pow (+ 1/2 y) 2))
(* x (pow (+ 1/2 y) 2))
(* x (pow (+ 1/2 y) 2))
(* x (pow (+ 1/2 y) 2))
(* x (pow (+ 1/2 y) 2))
(* x (pow (+ 1/2 y) 2))
(* x (pow (+ 1/2 y) 2))
(* x (pow (+ 1/2 y) 2))
(* x (pow (+ 1/2 y) 2))
(* x (pow (+ 1/2 y) 2))

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)
(* 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 #s(literal 1/2 binary64) x)
(+ (* 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 y (+.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) x) y)))
(* y (+ x (* 1/2 (/ x y))))
(.f64 y (+.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) x) y)))
(* y (+ x (* 1/2 (/ x y))))
(.f64 y (+.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) x) y)))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(.f64 y (+.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) x) y)))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(.f64 y (+.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) x) y)))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(.f64 y (+.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) 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)
(* x y)
(*.f64 x y)
z
(+ z (* x (+ 1/2 y)))
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)
(+ z (* x (+ 1/2 y)))
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)
(+ z (* x (+ 1/2 y)))
(+.f64 (*.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))))
(*.f64 x (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x))))
(* x (+ 1/2 (+ y (/ z x))))
(*.f64 x (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x))))
(* x (+ 1/2 (+ y (/ z x))))
(*.f64 x (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x))))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))
(*.f64 x (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x))))
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))
(*.f64 x (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x))))
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))
(*.f64 x (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x))))
(/ (- (* 1/4 (pow x 2)) (pow z 2)) (- (* 1/2 x) z))
(/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 z z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) z))
(- (+ (* 1/4 (/ (pow x 2) (- (* 1/2 x) z))) (* y (- (/ (pow x 2) (- (* 1/2 x) z)) (/ (* x (- (* 1/4 (pow x 2)) (pow z 2))) (pow (- (* 1/2 x) z) 2))))) (/ (pow z 2) (- (* 1/2 x) z)))
(+.f64 (.f64 y (.f64 (/.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) z)) (-.f64 x (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 z z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) z))))) (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 z z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)))
(- (+ (* 1/4 (/ (pow x 2) (- (* 1/2 x) z))) (* y (- (+ (* y (- (/ (pow x 2) (- (* 1/2 x) z)) (/ (* x (- (/ (pow x 2) (- (* 1/2 x) z)) (/ (* x (- (* 1/4 (pow x 2)) (pow z 2))) (pow (- (* 1/2 x) z) 2)))) (- (* 1/2 x) z)))) (/ (pow x 2) (- (* 1/2 x) z))) (/ (* x (- (* 1/4 (pow x 2)) (pow z 2))) (pow (- (* 1/2 x) z) 2))))) (/ (pow z 2) (- (* 1/2 x) z)))
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(* (pow y 2) (+ x (* -1 (/ (+ (* -1 x) (* -1/4 (/ x y))) y))))
(.f64 (.f64 y y) (-.f64 x (/.f64 (-.f64 (/.f64 (*.f64 x #s(literal -1/4 binary64)) y) x) y)))
(* x (pow (+ 1/2 y) 2))
(.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(* x (pow (+ 1/2 y) 2))
(.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(* x (pow (+ 1/2 y) 2))
(.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(* x (pow (+ 1/2 y) 2))
(.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(* x (pow (+ 1/2 y) 2))
(.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(* x (pow (+ 1/2 y) 2))
(.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(* x (pow (+ 1/2 y) 2))
(.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(* x (pow (+ 1/2 y) 2))
(.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(* x (pow (+ 1/2 y) 2))
(.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(* x (pow (+ 1/2 y) 2))
(.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(* x (pow (+ 1/2 y) 2))
(.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(* x (pow (+ 1/2 y) 2))
(.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))

eval153.0ms (1.7%)

Memory: -2.9MiB live, 269.4MiB allocated
Compiler: Compiled 33 668 to 2 201 computations (93.5% saved)

prune165.0ms (1.8%)

Memory

22.9MiB live, 261.9MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	849	1	850
Fresh	0	0	0
Picked	1	2	3
Done	0	5	5
Total	850	8	858

Accuracy

100.0%

Counts

858 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.8%	(+.f64 (.f64 x y) (.f64 x #s(literal 1/2 binary64)))
✓	73.1%	(+.f64 (*.f64 x y) z)
✓	68.6%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
▶	78.9%	(.f64 y (+.f64 x (/.f64 (+.f64 z (.f64 #s(literal 1/2 binary64) x)) y)))
✓	59.8%	(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
✓	33.8%	(*.f64 x y)
✓	28.8%	(*.f64 x #s(literal 1/2 binary64))
✓	41.8%	z

Compiler

Compiled 64 to 45 computations (29.7% saved)

simplify226.0ms (2.5%)

Memory

-19.3MiB live, 353.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 z (*.f64 #s(literal 1/2 binary64) x))
✓	cost-diff	0	(/.f64 (+.f64 z (*.f64 #s(literal 1/2 binary64) x)) y)
✓	cost-diff	0	(+.f64 x (/.f64 (+.f64 z (*.f64 #s(literal 1/2 binary64) x)) y))
✓	cost-diff	256	(.f64 y (+.f64 x (/.f64 (+.f64 z (.f64 #s(literal 1/2 binary64) x)) y)))

Rules

3 946×	`accelerator-lowering-fma.f32`
3 946×	`accelerator-lowering-fma.f64`
3 182×	`-lowering-.f32`
3 182×	`-lowering-.f64`
2 388×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	39
1	19	39
2	25	39
3	35	39
4	45	37
5	59	37
6	98	35
7	191	35
8	734	35
9	2287	35
10	7234	35
0	8227	31

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize32.0ms (0.4%)

Memory

-19.8MiB live, 61.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(/.f64 (+.f64 z (*.f64 #s(literal 1/2 binary64) x)) y)
✓	accuracy	100.0%	(+.f64 x (/.f64 (+.f64 z (*.f64 #s(literal 1/2 binary64) x)) y))
✓	accuracy	78.9%	(.f64 y (+.f64 x (/.f64 (+.f64 z (.f64 #s(literal 1/2 binary64) x)) y)))

Samples

17.0ms

256×

valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

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

ival-mult: 3.0ms (41.2% of total)

ival-div: 2.0ms (27.4% of total)

ival-add: 2.0ms (27.4% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

30.3MiB live, 30.3MiB allocated

Counts

5 → 144

Calls

Call 1

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

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

Calls

36 calls:

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

rewrite465.0ms (5.2%)

Memory

-16.0MiB live, 663.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 298×	`accelerator-lowering-fma.f32`
4 298×	`accelerator-lowering-fma.f64`
4 284×	`-lowering-.f32`
4 284×	`-lowering-.f64`
2 592×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
1	52	35
2	471	33
3	5595	33
0	8231	28

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 385

Calls

Call 1

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

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

simplify269.0ms (3%)

Memory

32.4MiB live, 417.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 954×	`accelerator-lowering-fma.f32`
7 954×	`accelerator-lowering-fma.f64`
2 930×	`-lowering-.f32`
2 930×	`-lowering-.f64`
1 776×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	1028
1	303	968
2	933	944
3	3281	896
4	5985	896
0	8150	783

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

eval141.0ms (1.6%)

Memory: -35.3MiB live, 125.3MiB allocated
Compiler: Compiled 14 037 to 1 451 computations (89.7% saved)

prune59.0ms (0.7%)

Memory

18.1MiB live, 137.4MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	528	1	529
Fresh	0	0	0
Picked	1	0	1
Done	0	7	7
Total	529	8	537

Accuracy

100.0%

Counts

537 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.8%	(+.f64 (.f64 x y) (.f64 x #s(literal 1/2 binary64)))
✓	73.1%	(+.f64 (*.f64 x y) z)
✓	68.6%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
	61.3%	(*.f64 y (+.f64 x (/.f64 z y)))
✓	59.8%	(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
✓	33.8%	(*.f64 x y)
✓	28.8%	(*.f64 x #s(literal 1/2 binary64))
✓	41.8%	z

Compiler

Compiled 142 to 74 computations (47.9% saved)

regimes21.0ms (0.2%)

Memory

9.7MiB live, 49.0MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

regimes12.0ms (0.1%)

Memory

-16.5MiB live, 23.7MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	y
3.0ms	z
3.0ms	x

Results

Accuracy	Segments	Branch
86.2%	3	`x`
99.7%	3	`y`
91.3%	5	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
88.9%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Memory

16.8MiB live, 16.8MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	x
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
75.4%	3	`x`
76.2%	3	`z`
65.2%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

Memory

-23.7MiB live, 15.2MiB allocated

Counts

3 → 5

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	z
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
66.1%	5	`y`
56.5%	3	`x`
62.7%	5	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB 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

3 calls:

2.0ms	z
2.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
54.7%	3	`x`
55.7%	3	`z`
45.7%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Memory

11.4MiB live, 11.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

3 calls:

1.0ms	x
1.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
41.8%	1	`y`
41.8%	1	`x`
41.8%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch30.0ms (0.3%)

Memory

0.0MiB live, 77.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.2684273072554904e-13	482560643854083.7
13.0ms	-285212.3494407273	-2.165688943456308e-10

Samples

16.0ms

336×

valid

Compiler

Compiled 393 to 287 computations (27% saved)

Precisions

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

ival-div: 3.0ms (36.4% of total)

ival-add: 3.0ms (36.4% of total)

ival-mult: 2.0ms (24.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch60.0ms (0.7%)

Memory

-2.3MiB live, 38.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	9.396505398915839e+63	1.0754715883903579e+68
48.0ms	-6.459684598337307e+47	-1.512493779162876e+43

Samples

50.0ms

256×

valid

Compiler

Compiled 271 to 206 computations (24% saved)

Precisions

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

ival-div: 2.0ms (34% of total)

ival-add: 2.0ms (34% of total)

ival-mult: 2.0ms (34% of total)

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

exact: 0.0ms (0% of total)

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

bsearch50.0ms (0.6%)

Memory

-15.4MiB live, 56.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.2633125879053476e+76	1.3617793573957549e+90
32.0ms	-1.8218714071003693e+48	-2.3319527377347208e+36

Samples

34.0ms

320×

valid

Compiler

Compiled 295 to 234 computations (20.7% saved)

Precisions

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

ival-mult: 21.0ms (79% of total)

ival-add: 3.0ms (11.3% of total)

ival-div: 2.0ms (7.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch93.0ms (1%)

Memory

1.0MiB live, 94.7MiB allocated

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	9.396505398915839e+63	1.0754715883903579e+68
52.0ms	1.2232870634768761e-25	1.9636349731563533e-22
17.0ms	2.1952468623818257e-151	1.1736139293032985e-129
10.0ms	-6.459684598337307e+47	-1.512493779162876e+43

Samples

68.0ms

560×

valid

Compiler

Compiled 435 to 348 computations (20% saved)

Precisions

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

ival-add: 5.0ms (40.1% of total)

ival-div: 4.0ms (32.1% of total)

ival-mult: 3.0ms (24% of total)

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

exact: 0.0ms (0% of total)

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

bsearch31.0ms (0.3%)

Memory

7.4MiB live, 80.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.9248608953519336e-70	9.215096999460895e-48
13.0ms	-6.131189320613429e-63	-1.1665962796860016e-65

Samples

19.0ms

304×

valid

Compiler

Compiled 243 to 204 computations (16% saved)

Precisions

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

ival-mult: 5.0ms (50.8% of total)

ival-add: 3.0ms (30.5% of total)

ival-div: 2.0ms (20.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify11.0ms (0.1%)

Memory

-11.1MiB live, 28.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
8×	`if-if-or-not_binary32`
6×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	101
1	71	101

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 -1/2 binary64)) (+.f64 (.f64 x y) z) (if (<=.f64 y #s(literal 1/2 binary64)) (+.f64 (.f64 x #s(literal 1/2 binary64)) z) (+.f64 (*.f64 x y) z)))
(if (<=.f64 y #s(literal -9499999999999999808063220818673762150605914112 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 1300000000000000059869580733570580134472701552406580863237149949952 binary64)) (+.f64 (.f64 x #s(literal 1/2 binary64)) z) (*.f64 x y)))
(if (<=.f64 z #s(literal -1099999999999999967100788934977135394308447272960 binary64)) z (if (<=.f64 z #s(literal 6600000000000000028084323987891536925948065398876861480200484362067601902054408192 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z))
(if (<=.f64 y #s(literal -30000000000000001656056390163622572291260416 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 3779087587416285/1799565517817278553124215403074392743547878847320766653240302229044735032268595148127616274441556342859968364253408358049283306422197719875603406072346065542053888 binary64)) z (if (<=.f64 y #s(literal 5954941421116423/85070591730234615865843651857942052864 binary64)) (.f64 x #s(literal 1/2 binary64)) (if (<=.f64 y #s(literal 9500000000000000275619062456361916197046191412859817977152798720 binary64)) z (*.f64 x y)))))
(if (<=.f64 z #s(literal -533569947205553/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) z (if (<=.f64 z #s(literal 4417117661945961/55213970774324510299478046898216203619608871777363092441300193790394368 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 -1/2 binary64)) (+.f64 (.f64 x y) z) (if (<=.f64 y #s(literal 1/2 binary64)) (+.f64 (.f64 x #s(literal 1/2 binary64)) z) (+.f64 (*.f64 x y) z)))
(if (<=.f64 y #s(literal -1/2 binary64)) (+.f64 z (.f64 x y)) (if (<=.f64 y #s(literal 1/2 binary64)) (+.f64 z (.f64 x #s(literal 1/2 binary64))) (+.f64 z (*.f64 x y))))
(if (<=.f64 y #s(literal -9499999999999999808063220818673762150605914112 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 1300000000000000059869580733570580134472701552406580863237149949952 binary64)) (+.f64 (.f64 x #s(literal 1/2 binary64)) z) (*.f64 x y)))
(if (<=.f64 y #s(literal -9499999999999999808063220818673762150605914112 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 1300000000000000059869580733570580134472701552406580863237149949952 binary64)) (+.f64 z (.f64 x #s(literal 1/2 binary64))) (*.f64 x y)))
(if (<=.f64 z #s(literal -1099999999999999967100788934977135394308447272960 binary64)) z (if (<=.f64 z #s(literal 6600000000000000028084323987891536925948065398876861480200484362067601902054408192 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z))
(if (<=.f64 z #s(literal -1099999999999999967100788934977135394308447272960 binary64)) z (if (<=.f64 z #s(literal 6600000000000000028084323987891536925948065398876861480200484362067601902054408192 binary64)) (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z))
(if (<=.f64 y #s(literal -30000000000000001656056390163622572291260416 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 3779087587416285/1799565517817278553124215403074392743547878847320766653240302229044735032268595148127616274441556342859968364253408358049283306422197719875603406072346065542053888 binary64)) z (if (<=.f64 y #s(literal 5954941421116423/85070591730234615865843651857942052864 binary64)) (.f64 x #s(literal 1/2 binary64)) (if (<=.f64 y #s(literal 9500000000000000275619062456361916197046191412859817977152798720 binary64)) z (*.f64 x y)))))
(if (<=.f64 z #s(literal -533569947205553/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) z (if (<=.f64 z #s(literal 4417117661945961/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) (*.f64 x #s(literal 1/2 binary64)) z))
z

soundness1.2s (13.2%)

Memory

-10.1MiB live, 995.1MiB allocated

Rules

6 434×	`accelerator-lowering-fma.f32`
6 434×	`accelerator-lowering-fma.f64`
5 686×	`accelerator-lowering-fma.f32`
5 686×	`accelerator-lowering-fma.f64`
3 028×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	508
1	200	508
2	512	508
3	1440	508
4	3343	508
5	5374	508
6	7166	508
7	7996	508
0	8046	463
0	57	440
1	174	440
2	488	440
3	1318	440
4	3632	440
5	6705	440
0	8250	412

Stop Event

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

Compiler

Compiled 198 to 114 computations (42.4% saved)

preprocess94.0ms (1%)

Memory: 30.7MiB live, 106.6MiB allocated
Compiler: Compiled 244 to 114 computations (53.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample910.0ms (10.1%)

preprocess84.0ms (0.9%)

explain151.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize108.0ms (1.2%)

series10.0ms (0.1%)

rewrite656.0ms (7.3%)

simplify916.0ms (10.2%)

eval49.0ms (0.5%)

prune41.0ms (0.5%)

simplify8.0ms (0.1%)

localize32.0ms (0.4%)

series4.0ms (0%)

rewrite428.0ms (4.8%)

simplify247.0ms (2.7%)

eval67.0ms (0.7%)

prune62.0ms (0.7%)

simplify618.0ms (6.9%)

localize48.0ms (0.5%)

series14.0ms (0.2%)

rewrite859.0ms (9.5%)

simplify553.0ms (6.1%)

eval153.0ms (1.7%)

prune165.0ms (1.8%)

simplify226.0ms (2.5%)

localize32.0ms (0.4%)

series11.0ms (0.1%)

rewrite465.0ms (5.2%)

simplify269.0ms (3%)

eval141.0ms (1.6%)

prune59.0ms (0.7%)

regimes21.0ms (0.2%)

regimes12.0ms (0.1%)

regimes3.0ms (0%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

bsearch30.0ms (0.3%)

bsearch60.0ms (0.7%)

bsearch50.0ms (0.6%)

bsearch93.0ms (1%)

bsearch31.0ms (0.3%)

simplify11.0ms (0.1%)

soundness1.2s (13.2%)

preprocess94.0ms (1%)

end0.0ms (0%)

Profiling