Metrics for Numeric.Interval.Internal:scale from intervals-0.7.1, B

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample521.0ms (30.7%)

Memory

-19.2MiB live, 978.7MiB allocated

Samples

326.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 165.0ms

ival-mult: 80.0ms (48.5% of total)

ival-div: 71.0ms (43.1% of total)

ival-true: 6.0ms (3.6% of total)

exact: 5.0ms (3% of total)

ival-assert: 3.0ms (1.8% of total)

Bogosity

preprocess23.0ms (1.4%)

Memory

3.3MiB live, 42.4MiB allocated

Algorithm

1×	egg-herbie

Rules

88×	`distribute-lft-neg-in`
56×	`distribute-rgt-neg-in`
54×	`associate-l`
42×	`associate-r`
40×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	30
1	39	27
2	95	25
3	212	25
4	365	25
5	410	25
0	5	5
0	7	5
1	10	5
2	13	5
3	14	5
0	14	5

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs y)

(negabs x)

(sort x y)

explain45.0ms (2.7%)

Memory

35.7MiB live, 74.2MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`#s(literal 2 binary64)`
-	-	`(/.f64 (*.f64 x 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: 9.0ms

ival-div: 4.0ms (44.4% of total)

ival-mult: 4.0ms (44.4% 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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)

simplify26.0ms (1.5%)

Memory

-32.0MiB live, 5.4MiB 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

12×	`lower-*.f32`
10×	`lower-*.f64`
6×	`*-commutative`
6×	`lower-/.f32`
4×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	10	11
2	13	11
3	14	11
0	14	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize15.0ms (0.9%)

Memory

20.2MiB live, 20.2MiB allocated

Localize:

Found 2 expressions of interest:

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

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 (53.1% of total)

ival-mult: 2.0ms (53.1% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.2%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

2 → 48

Calls

Call 1

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

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

12 calls:

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

rewrite443.0ms (26.1%)

Memory

-3.7MiB live, 378.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 834×	`lower-fma.f64`
3 834×	`lower-fma.f32`
3 452×	`lower-*.f32`
3 450×	`lower-*.f64`
2 432×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	20	8
2	63	8
3	243	8
4	1218	8
0	8216	8

Stop Event

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

Counts

2 → 901

Calls

Call 1

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

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

simplify9.0ms (0.5%)

Memory

28.2MiB live, 28.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	192
1	9	192
2	16	192
3	18	192
0	18	192

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

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

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

eval122.0ms (7.2%)

Memory: -21.4MiB live, 270.7MiB allocated
Compiler: Compiled 16 757 to 1 963 computations (88.3% saved)

prune146.0ms (8.6%)

Memory

0.7MiB live, 278.7MiB allocated

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	948	1	949
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	949	1	950

Accuracy

100.0%

Counts

950 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (.f64 y #s(literal 1/2 binary64)) x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify4.0ms (0.3%)

Memory

6.1MiB live, 6.1MiB 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 (.f64 y #s(literal 1/2 binary64)) x)

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	11	11
2	18	11
3	20	11
0	20	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize102.0ms (6%)

Memory

-5.9MiB live, 34.4MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

9.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 3.0ms (86.9% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

2 → 36

Calls

Call 1

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

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

9 calls:

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

rewrite33.0ms (1.9%)

Memory

-24.8MiB live, 14.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	11	8
2	18	8
3	20	8
0	20	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Counts

2 → 8

Calls

Call 1

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

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

simplify4.0ms (0.3%)

Memory

7.5MiB live, 7.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	156
1	11	156
2	16	156
0	16	156

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

Calls

Call 1

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

eval4.0ms (0.2%)

Memory: 11.4MiB live, 11.4MiB allocated
Compiler: Compiled 222 to 16 computations (92.8% saved)

prune2.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	1	45

Accuracy

100.0%

Counts

45 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes7.0ms (0.4%)

Memory

-20.5MiB live, 18.1MiB allocated

Accuracy

Total -0.0b remaining (-∞%)

Threshold costs -0b (-∞%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	y
1.0ms	x
1.0ms	(/.f64 (*.f64 x y) #s(literal 2 binary64))
1.0ms	(*.f64 x y)

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)

simplify5.0ms (0.3%)

Memory

18.4MiB live, 18.4MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	7	5

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness151.0ms (8.9%)

Memory

-31.3MiB live, 96.5MiB allocated

Rules

3 834×	`lower-fma.f64`
3 834×	`lower-fma.f32`
3 452×	`lower-*.f32`
3 450×	`lower-*.f64`
2 432×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	20	8
2	63	8
3	243	8
4	1218	8
0	8216	8

Stop Event

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

Compiler

Compiled 14 to 10 computations (28.6% saved)

preprocess28.0ms (1.6%)

Memory

36.4MiB live, 74.2MiB allocated

Remove

(sort x y)

(negabs x)

(negabs y)

Compiler

Compiled 70 to 50 computations (28.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample521.0ms (30.7%)

preprocess23.0ms (1.4%)

explain45.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify26.0ms (1.5%)

localize15.0ms (0.9%)

series4.0ms (0.2%)

rewrite443.0ms (26.1%)

simplify9.0ms (0.5%)

eval122.0ms (7.2%)

prune146.0ms (8.6%)

simplify4.0ms (0.3%)

localize102.0ms (6%)

series2.0ms (0.1%)

rewrite33.0ms (1.9%)

simplify4.0ms (0.3%)

eval4.0ms (0.2%)

prune2.0ms (0.1%)

regimes7.0ms (0.4%)

simplify5.0ms (0.3%)

soundness151.0ms (8.9%)

preprocess28.0ms (1.6%)

end0.0ms (0%)

Profiling