Metrics for Data.Colour.RGB:hslsv from colour-2.3.3, A

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 7 to 7 computations (0% saved)

sample562.0ms (13%)

Memory

33.7MiB live, 901.4MiB allocated

Samples

402.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 233.0ms

ival-div: 163.0ms (70% of total)

ival-add: 55.0ms (23.6% of total)

ival-true: 6.0ms (2.6% of total)

exact: 5.0ms (2.1% of total)

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

Bogosity

preprocess24.0ms (0.5%)

Memory

-28.5MiB live, 49.8MiB allocated

Algorithm

2×	egg-herbie

Rules

82×	`sub-neg`
70×	`div-sub`
48×	`associate-/l*`
48×	`distribute-rgt-in`
40×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	32
1	36	30
2	67	30
3	140	30
4	348	30
5	527	30
6	559	30
7	580	30
0	5	5
1	6	5
0	6	5

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ (+ x y) 2)

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

Call 2

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

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

Symmetry

(sort x y)

explain48.0ms (1.1%)

Memory

27.5MiB live, 109.2MiB allocated

FPErrors

Click to see full error table

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

20.0ms

512×

valid

Compiler

Compiled 40 to 24 computations (40% saved)

Precisions

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

ival-div: 4.0ms (48.6% of total)

ival-add: 3.0ms (36.5% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune2.0ms (0%)

Memory

-37.4MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

4×	`+-lowering-+.f64`
4×	`+-lowering-+.f32`
2×	`/-lowering-/.f32`
2×	`/-lowering-/.f64`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	6	11
0	6	11

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize16.0ms (0.4%)

Memory

-6.2MiB live, 33.0MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

9.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (53.9% of total)

ival-add: 1.0ms (27% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

2 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite530.0ms (12.3%)

Memory

2.0MiB live, 409.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 140×	`/-lowering-/.f32`
5 140×	`/-lowering-/.f64`
3 858×	`accelerator-lowering-fma.f32`
3 858×	`accelerator-lowering-fma.f64`
3 450×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	29	8
2	180	8
3	1727	8
0	8198	8

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 371

Calls

Call 1

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

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

simplify588.0ms (13.6%)

Memory

-12.6MiB live, 801.4MiB allocated

Algorithm

1×	egg-herbie

Rules

17 664×	`accelerator-lowering-fma.f32`
17 664×	`accelerator-lowering-fma.f64`
2 856×	`+-lowering-+.f64`
2 856×	`+-lowering-+.f32`
2 768×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	168
1	115	168
2	264	168
3	783	168
4	1834	168
5	2668	168
6	3340	168
7	3639	168
8	3801	168
9	3837	168
10	6026	168
0	8686	168

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval52.0ms (1.2%)

Memory: 2.2MiB live, 113.3MiB allocated
Compiler: Compiled 11 294 to 1 092 computations (90.3% saved)

prune51.0ms (1.2%)

Memory

30.2MiB live, 143.7MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	416	3	419
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	417	3	420

Accuracy

100.0%

Counts

420 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.6%	(fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64))
▶	51.5%	(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
▶	100.0%	(*.f64 (+.f64 x y) #s(literal 1/2 binary64))

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify8.0ms (0.2%)

Memory

-36.3MiB live, 9.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
✓	cost-diff	-64	(*.f64 (+.f64 x y) #s(literal 1/2 binary64))
✓	cost-diff	0	(+.f64 x y)

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	16	23
2	19	23
3	21	23
0	21	23

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (+ x y) 1/2)
(+ x y)
x
y
1/2
(+ (* 1/2 x) 0)
1/2
x
0
(+ (* 1/2 y) 0)
1/2
y
0

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

localize36.0ms (0.8%)

Memory

8.2MiB live, 46.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64))
✓	accuracy	100.0%	(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(*.f64 (+.f64 x y) #s(literal 1/2 binary64))

Samples

26.0ms

256×

valid

Compiler

Compiled 27 to 12 computations (55.6% saved)

Precisions

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

ival-mult: 4.0ms (47.7% of total)

ival-add: 3.0ms (35.8% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

4 → 72

Calls

Call 1

Inputs
#<alt (+ x y)>
#<alt (* (+ x y) 1/2)>
#<alt (+ (* 1/2 x) 0)>
#<alt (+ (* 1/2 y) 0)>

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

Calls

18 calls:

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

rewrite371.0ms (8.6%)

Memory

-0.4MiB live, 512.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 570×	`accelerator-lowering-fma.f32`
4 570×	`accelerator-lowering-fma.f64`
3 560×	`-lowering-.f32`
3 560×	`-lowering-.f64`
2 140×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	51	14
2	502	14
3	5416	14
0	8221	14

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 774

Calls

Call 1

Inputs
(+ x y)
(* (+ x y) 1/2)
(+ (* 1/2 x) 0)
(+ (* 1/2 y) 0)

Outputs
(+.f64 x y)
(+.f64 y x)
(+.f64 (/.f64 (.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (.f64 y y) (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)))
(-.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (neg.f64 (/.f64 (.f64 y y) (-.f64 x y))))
(fma.f64 (/.f64 (.f64 x x) (.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 (/.f64 (.f64 x x) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))) (fma.f64 x x (.f64 y (+.f64 x y))) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(neg.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x y) (.f64 y y)))))
(neg.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 #s(literal 0 binary64) (-.f64 x y))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (fma.f64 x (-.f64 x y) (.f64 y y))))
(neg.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y))) (-.f64 x y)))
(/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 x (-.f64 x y) (.f64 y y)))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 x y))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x y) (.f64 y y))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y))) (-.f64 #s(literal 0 binary64) (-.f64 x y)))
(/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (fma.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))) (.f64 (-.f64 x y) (fma.f64 (.f64 y y) (fma.f64 x x (.f64 y y)) (.f64 x (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))
(/.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))) (.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x y)) (.f64 (-.f64 x y) (.f64 y y))) (*.f64 (-.f64 x y) (-.f64 x y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x y) (.f64 y y)))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 x y))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y y) (-.f64 x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 x x) (-.f64 x y)) (fma.f64 (/.f64 (.f64 y y) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)) (.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 x x) (-.f64 x y))) (.f64 (/.f64 (.f64 y y) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)))) (fma.f64 x (/.f64 x (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (-.f64 x y))
(/.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y)))) (fma.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y)))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y)))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (fma.f64 (.f64 y y) (fma.f64 x x (.f64 y y)) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (fma.f64 x x (*.f64 y y)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal -1 binary64))
(.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 x y)))
(.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y)))))
(.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (/.f64 (+.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(.f64 (.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(.f64 (.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y))))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y))) (fma.f64 x (.f64 x x) (.f64 y (*.f64 y y))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (.f64 (+.f64 x y) (-.f64 x y)))
(.f64 (.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 (.f64 y (-.f64 y x)) (.f64 y (.f64 (-.f64 y x) (.f64 y (-.f64 y x)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (.f64 y (-.f64 y x)) (-.f64 (.f64 y (-.f64 y x)) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (-.f64 (.f64 x x) (.f64 y (-.f64 y x))))) (-.f64 (.f64 x x) (.f64 y (-.f64 y x))))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(+.f64 (fma.f64 (+.f64 x y) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 (+.f64 x y) #s(literal 1/2 binary64) #s(literal 0 binary64)))
(+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(-.f64 (fma.f64 (+.f64 x y) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)))
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 x (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 0 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 x (*.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) x)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 y #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 y (/.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 y (*.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) y)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 (+.f64 x y) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) x (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) y (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 x y) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 0 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) y) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) x) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (.f64 x x)) (*.f64 x x)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (.f64 y y)) (*.f64 y y)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) y)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) x)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
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simplify469.0ms (10.9%)

Memory

24.3MiB live, 772.1MiB allocated

Algorithm

1×	egg-herbie

Rules

17 664×	`accelerator-lowering-fma.f32`
17 664×	`accelerator-lowering-fma.f64`
2 856×	`+-lowering-+.f64`
2 856×	`+-lowering-+.f32`
2 768×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	240
1	115	240
2	264	240
3	778	240
4	1806	240
5	2643	240
6	3316	240
7	3616	240
8	3778	240
9	3814	240
10	6033	240
0	8695	240

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval155.0ms (3.6%)

Memory: -9.7MiB live, 229.8MiB allocated
Compiler: Compiled 14 330 to 1 351 computations (90.6% saved)

prune104.0ms (2.4%)

Memory

-6.1MiB live, 236.3MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	844	2	846
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	846	3	849

Accuracy

100.0%

Counts

849 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 x y) #s(literal 1/2 binary64))
▶	48.6%	(*.f64 y #s(literal 1/2 binary64))
▶	51.5%	(*.f64 x #s(literal 1/2 binary64))

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify4.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	10
1	7	10
0	7	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize15.0ms (0.4%)

Memory

18.6MiB live, 18.6MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

9.0ms

256×

valid

Compiler

Compiled 12 to 7 computations (41.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 3.0ms (84.8% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Counts

2 → 24

Calls

Call 1

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

Calls

6 calls:

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

rewrite8.0ms (0.2%)

Memory

10.0MiB live, 10.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	7	6
0	7	6

Stop Event

1×	iter limit
1×	saturated

Counts

2 → 4

Calls

Call 1

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

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

simplify19.0ms (0.5%)

Memory

-30.6MiB live, 7.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	72
1	7	72
0	7	72

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

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)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)

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

eval3.0ms (0.1%)

Memory: 4.7MiB live, 4.7MiB allocated
Compiler: Compiled 86 to 7 computations (91.9% saved)

prune2.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	28	3	31

Accuracy

100.0%

Counts

31 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 x y) #s(literal 1/2 binary64))
✓	48.6%	(*.f64 y #s(literal 1/2 binary64))
✓	51.5%	(*.f64 x #s(literal 1/2 binary64))

Compiler

Compiled 43 to 25 computations (41.9% saved)

regimes11.0ms (0.3%)

Memory

24.8MiB live, 24.8MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64))
(*.f64 (+.f64 x y) #s(literal 1/2 binary64))
(/.f64 (+.f64 x y) #s(literal 2 binary64))

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes8.0ms (0.2%)

Memory

-26.7MiB live, 10.9MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64))

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
81.8%	2	`x`
82.4%	2	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Memory

7.2MiB live, 7.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
51.5%	1	`x`
51.5%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch7.0ms (0.2%)

Memory

13.1MiB live, 13.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	3.978922354628239e-53	1.6995206401378585e-52

Samples

3.0ms

96×

valid

Compiler

Compiled 82 to 70 computations (14.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-div: 1.0ms (72.1% of total)

ival-add: 1.0ms (72.1% of total)

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

exact: 0.0ms (0% of total)

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

simplify12.0ms (0.3%)

Memory

-27.3MiB live, 13.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	18
1	14	18

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 y #s(literal 1051437920018875/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) (*.f64 x #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))

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

Outputs

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

(if (<=.f64 y #s(literal 1051437920018875/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) (*.f64 x #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))

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

soundness1.1s (25.9%)

Memory

1.2MiB live, 384.1MiB allocated

Rules

17 664×	`accelerator-lowering-fma.f32`
17 664×	`accelerator-lowering-fma.f64`
5 140×	`/-lowering-/.f32`
5 140×	`/-lowering-/.f64`
4 570×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	51	14
2	502	14
3	5416	14
0	8221	14
0	5	8
1	29	8
2	180	8
3	1727	8
0	8198	8
0	38	168
1	115	168
2	264	168
3	783	168
4	1834	168
5	2668	168
6	3340	168
7	3639	168
8	3801	168
9	3837	168
10	6026	168
0	8686	168

Stop Event

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

Compiler

Compiled 60 to 42 computations (30% saved)

preprocess77.0ms (1.8%)

Memory: -9.2MiB live, 64.4MiB allocated
Remove: (sort x y)
Compiler: Compiled 68 to 40 computations (41.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample562.0ms (13%)

preprocess24.0ms (0.5%)

explain48.0ms (1.1%)

eval0.0ms (0%)

prune2.0ms (0%)

simplify3.0ms (0.1%)

localize16.0ms (0.4%)

series3.0ms (0.1%)

rewrite530.0ms (12.3%)

simplify588.0ms (13.6%)

eval52.0ms (1.2%)

prune51.0ms (1.2%)

simplify8.0ms (0.2%)

localize36.0ms (0.8%)

series2.0ms (0%)

rewrite371.0ms (8.6%)

simplify469.0ms (10.9%)

eval155.0ms (3.6%)

prune104.0ms (2.4%)

simplify4.0ms (0.1%)

localize15.0ms (0.4%)

series1.0ms (0%)

rewrite8.0ms (0.2%)

simplify19.0ms (0.5%)

eval3.0ms (0.1%)

prune2.0ms (0.1%)

regimes11.0ms (0.3%)

regimes8.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch7.0ms (0.2%)

simplify12.0ms (0.3%)

soundness1.1s (25.9%)

preprocess77.0ms (1.8%)

end0.0ms (0%)

Profiling