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)

sample601.0ms (21.1%)

Memory

29.2MiB live, 821.0MiB allocated

Samples

398.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 243.0ms

ival-mult: 164.0ms (67.5% of total)

ival-div: 64.0ms (26.3% of total)

ival-true: 6.0ms (2.5% of total)

exact: 5.0ms (2.1% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

preprocess26.0ms (0.9%)

Memory

-38.3MiB live, 43.6MiB allocated

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	32
1	40	32
2	95	30
3	209	30
4	369	30
5	412	30
0	5	5
1	8	5
2	11	5
3	12	5
0	12	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)
(* x (* y -1/2))
(/ (* x (neg y)) 2)
(* x (* y -1/2))
(neg (/ (* (neg x) y) 2))
(* x (* y 1/2))
(neg (/ (* x (neg y)) 2))
(* x (* y 1/2))
(/ (* y x) 2)
(* x (* y 1/2))

Symmetry

(negabs x)

(negabs y)

(sort x y)

explain49.0ms (1.7%)

Memory

41.5MiB live, 115.0MiB 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

22.0ms

512×

valid

Compiler

Compiled 40 to 24 computations (40% saved)

Precisions

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

ival-mult: 4.0ms (49.5% of total)

ival-div: 3.0ms (37.2% 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)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB 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)

simplify5.0ms (0.2%)

Memory

-30.4MiB live, 7.6MiB 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×	`-lowering-.f32`
12×	`-lowering-.f64`
6×	`*-commutative`
6×	`/-lowering-/.f32`
6×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	8	11
2	11	11
3	12	11
0	12	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)

localize17.0ms (0.6%)

Memory

-8.5MiB live, 36.4MiB 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 (51.4% of total)

ival-mult: 2.0ms (51.4% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated

Counts

2 → 48

Calls

Call 1

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

rewrite1.5s (53.1%)

Memory

-13.0MiB live, 407.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 834×	`accelerator-lowering-fma.f32`
3 834×	`accelerator-lowering-fma.f64`
3 452×	`-lowering-.f32`
3 452×	`-lowering-.f64`
2 432×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	18	8
2	61	8
3	241	8
4	1216	8
0	8221	8

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 901

Calls

Call 1

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

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

simplify14.0ms (0.5%)

Memory

-0.6MiB live, 35.7MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`-lowering-.f32`
24×	`-lowering-.f64`
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)

eval108.0ms (3.8%)

Memory: 2.1MiB live, 310.8MiB allocated
Compiler: Compiled 21 465 to 1 963 computations (90.9% saved)

prune125.0ms (4.4%)

Memory

0.7MiB live, 369.7MiB 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 (0.1%)

Memory

8.6MiB live, 8.6MiB 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×	`-lowering-.f32`
24×	`-lowering-.f64`
10×	`*-commutative`
6×	`associate-r`
6×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	9	11
2	16	11
3	18	11
0	18	11

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize34.0ms (1.2%)

Memory

-5.7MiB live, 33.6MiB 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

29.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-mult: 3.0ms (85.6% 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

3.3MiB live, 3.3MiB allocated

Counts

2 → 36

Calls

Call 1

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

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)

rewrite10.0ms (0.4%)

Memory

-17.3MiB live, 21.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	9	8
2	16	8
3	18	8
0	18	8

Stop Event

1×	iter limit
1×	saturated

Counts

2 → 8

Calls

Call 1

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

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)

simplify6.0ms (0.2%)

Memory

17.2MiB live, 17.2MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`-lowering-.f32`
24×	`-lowering-.f64`
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 (0.1%)

Memory: 8.0MiB live, 8.0MiB allocated
Compiler: Compiled 222 to 16 computations (92.8% saved)

prune2.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB 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)

regimes94.0ms (3.3%)

Memory

-25.2MiB live, 14.1MiB allocated

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

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:

89.0ms	y
2.0ms	x
1.0ms	(*.f64 x y)
1.0ms	(/.f64 (*.f64 x y) #s(literal 2 binary64))

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)

simplify7.0ms (0.2%)

Memory

13.6MiB live, 13.6MiB 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)

soundness152.0ms (5.3%)

Memory

-17.2MiB live, 61.2MiB allocated

Rules

3 834×	`accelerator-lowering-fma.f32`
3 834×	`accelerator-lowering-fma.f64`
3 452×	`-lowering-.f32`
3 452×	`-lowering-.f64`
2 432×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	18	8
2	61	8
3	241	8
4	1216	8
0	8221	8

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 14 to 10 computations (28.6% saved)

preprocess73.0ms (2.6%)

Memory

13.3MiB live, 50.8MiB allocated

Remove

(sort x y)

(negabs y)

(negabs x)

Compiler

Compiled 70 to 50 computations (28.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample601.0ms (21.1%)

preprocess26.0ms (0.9%)

explain49.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.2%)

localize17.0ms (0.6%)

series4.0ms (0.1%)

rewrite1.5s (53.1%)

simplify14.0ms (0.5%)

eval108.0ms (3.8%)

prune125.0ms (4.4%)

simplify4.0ms (0.1%)

localize34.0ms (1.2%)

series2.0ms (0.1%)

rewrite10.0ms (0.4%)

simplify6.0ms (0.2%)

eval4.0ms (0.1%)

prune2.0ms (0.1%)

regimes94.0ms (3.3%)

simplify7.0ms (0.2%)

soundness152.0ms (5.3%)

preprocess73.0ms (2.6%)

end0.0ms (0%)

Profiling