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

analyze0.0ms (0%)

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 8 to 6 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample638.0ms (24%)

Results

354.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 162.0ms

ival-mult: 86.0ms (53.1% of total)

ival-div: 63.0ms (38.9% of total)

const: 10.0ms (6.2% of total)

backward-pass: 3.0ms (1.9% of total)

Bogosity

preprocess49.0ms (1.8%)

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)

explain45.0ms (1.7%)

FPErrors

Click to see full error table

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

Results

26.0ms

512×

valid

Compiler

Compiled 35 to 19 computations (45.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 5.0ms (53.1% of total)

ival-div: 4.0ms (42.5% of total)

const: 1.0ms (10.6% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

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)

localize29.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 (*.f64 x y) #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(/.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)

Results

15.0ms

256×

valid

Compiler

Compiled 14 to 7 computations (50% saved)

Precisions

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

ival-div: 2.0ms (43% of total)

ival-mult: 2.0ms (43% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series9.0ms (0.3%)

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
4.0ms	x	@	0	(/ (* x y) 2)
1.0ms	y	@	0	(/ (* x y) 2)
1.0ms	x	@	inf	(/ (* x y) 2)
1.0ms	y	@	inf	(/ (* x y) 2)
0.0ms	y	@	-inf	(/ (* x y) 2)

rewrite486.0ms (18.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3834×	`accelerator-lowering-fma.f32`
3834×	`accelerator-lowering-fma.f64`
3452×	`-lowering-.f32`
3452×	`-lowering-.f64`
2432×	`/-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 (/.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 x #s(literal -2 binary64))) (/.f64 x (/.f64 #s(literal 2 binary64) y)))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 y #s(literal -2 binary64))) (/.f64 x (/.f64 #s(literal 2 binary64) y)))
(+.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 0 binary64)) (/.f64 x (/.f64 #s(literal 2 binary64) y)))
(+.f64 (*.f64 (/.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)) (/.f64 x (/.f64 #s(literal 2 binary64) y)))
(exp.f64 (log.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) y) (/.f64 (/.f64 #s(literal -2 binary64) x) y))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)))) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (.f64 x y)))) (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (.f64 x y))))))
(-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal -2 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) x)) (/.f64 x (/.f64 #s(literal -2 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) y)) (/.f64 x (/.f64 #s(literal -2 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 x (/.f64 #s(literal -2 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x (/.f64 #s(literal -2 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) y)) (/.f64 x (/.f64 #s(literal -2 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 x (/.f64 #s(literal -2 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal -2 binary64) (.f64 x (.f64 y (.f64 x y))))) (/.f64 x (/.f64 #s(literal -2 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 x y) #s(literal -2 binary64))) (/.f64 x (/.f64 #s(literal -2 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 y (.f64 x y))) #s(literal 1/4 binary64))) (/.f64 (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) #s(literal -8 binary64)) (.f64 (.f64 x (.f64 y (*.f64 x y))) #s(literal 1/4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal -2 binary64) y))) (/.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) #s(literal 1/4 binary64)) (/.f64 x (/.f64 #s(literal -2 binary64) y))))
(fma.f64 x (/.f64 y #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 y (/.f64 x #s(literal 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 x (/.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) #s(literal -1/2 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (.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 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 0 binary64))
(fma.f64 (/.f64 y #s(literal 2 binary64)) x #s(literal 0 binary64))
(fma.f64 (/.f64 y #s(literal 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 x (/.f64 #s(literal -2 binary64) y)) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) (/.f64 y #s(literal -2 binary64)) (/.f64 x (/.f64 #s(literal 2 binary64) y)))
(fma.f64 #s(literal 0 binary64) (/.f64 x #s(literal -2 binary64)) (/.f64 x (/.f64 #s(literal 2 binary64) y)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y)) #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 -2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 x (/.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y))))) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 x y) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y))))) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y (.f64 x y)))) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 x y) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y))))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x (.f64 y (*.f64 x y))))) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 x y) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x 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 #s(literal 0 binary64) (.f64 x y))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y)))) (/.f64 #s(literal -1/2 binary64) (.f64 x y)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y)))) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x y) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (*.f64 x y)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y))) (sqrt.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y))) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y))))) #s(literal 0 binary64))
(fma.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))
(fma.f64 (/.f64 y #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 y #s(literal -2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 x #s(literal -2 binary64)) #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))
(fma.f64 (/.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(fma.f64 (/.f64 x #s(literal -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 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) #s(literal -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 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 y (.f64 x y))) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal -2 binary64) x) y) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (/.f64 (sqrt.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y (.f64 x y))))) (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 x y) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y)))))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 x y)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (pow.f64 (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 y #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 x #s(literal -2 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 y) (.f64 x (.f64 y (.f64 x 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 (/.f64 #s(literal 1 binary64) 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 #s(literal 0 binary64) (*.f64 x y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x 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 #s(literal -2 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (/.f64 x #s(literal 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 x)) (-.f64 #s(literal 0 binary64) 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)) (-.f64 #s(literal 0 binary64) x)))
(.f64 (/.f64 (.f64 y (.f64 y y)) (-.f64 #s(literal 0 binary64) x)) (/.f64 (.f64 x (.f64 x x)) (neg.f64 (.f64 y (*.f64 x y)))))
(.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x y) (-.f64 #s(literal 0 binary64) x))) (/.f64 (.f64 y (*.f64 y y)) (-.f64 #s(literal 0 binary64) y)))
(.f64 (/.f64 (.f64 y (.f64 y y)) (-.f64 #s(literal 0 binary64) y)) (/.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) x))))
(.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 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x 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)) (-.f64 #s(literal 0 binary64) x)))
(.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x y) (-.f64 #s(literal 0 binary64) x))) (/.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) y)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) x) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x)) (.f64 y (*.f64 x y))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) y) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x)) (.f64 x (*.f64 x y))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) (.f64 x y)) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x)) (*.f64 x y)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x)) (.f64 x y)) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) (*.f64 x y)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) (-.f64 #s(literal 0 binary64) (.f64 x y))) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 x y))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 x y))) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 x y))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) #s(literal 1 binary64)) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x)) (.f64 x (.f64 y (.f64 x y)))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) #s(literal -1 binary64)) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y))))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) (-.f64 #s(literal 0 binary64) y)) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x)) (.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) x))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) (-.f64 #s(literal 0 binary64) x)) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x)) (neg.f64 (.f64 y (*.f64 x y)))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) (.f64 x x)) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x)) (*.f64 y y)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x)) (.f64 y y)) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) (*.f64 x x)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) (.f64 x (.f64 x y))) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)) y))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x)) y) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) (.f64 x (*.f64 x y))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) (.f64 y (.f64 x y))) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)) x))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x)) x) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) (.f64 y (*.f64 x y))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) (neg.f64 (.f64 y (.f64 x y)))) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x)) (-.f64 #s(literal 0 binary64) x)) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) (neg.f64 (.f64 y (*.f64 x y)))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) (.f64 (.f64 x y) (-.f64 #s(literal 0 binary64) x))) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)) (-.f64 #s(literal 0 binary64) y)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x)) (-.f64 #s(literal 0 binary64) y)) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) (.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) x))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) (.f64 x (.f64 y (.f64 x y)))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x)) #s(literal -1 binary64)) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y))))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x)) (.f64 x (.f64 x y))) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 y y)) y))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x)) (.f64 y (.f64 x y))) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 y y)) x))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x)) (neg.f64 (.f64 y (.f64 x y)))) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 y y)) (-.f64 #s(literal 0 binary64) x)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x)) (.f64 (.f64 x y) (-.f64 #s(literal 0 binary64) x))) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 y y)) (-.f64 #s(literal 0 binary64) 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 #s(literal 0 binary64) (.f64 x y))) (/.f64 (pow.f64 (.f64 x y) #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) (*.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 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 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y))))))
(.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) y)) (/.f64 (pow.f64 (.f64 x y) #s(literal 3/2 binary64)) (.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) x))))
(.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) 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)) (-.f64 #s(literal 0 binary64) x)))
(.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 3/2 binary64)) (.f64 (.f64 x y) (-.f64 #s(literal 0 binary64) x))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) y)))
(.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 x (.f64 y (.f64 x y))))
(.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y))))) (-.f64 #s(literal 0 binary64) (.f64 x y)))
(.f64 (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y)))))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y)))))
(.f64 (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.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 (.f64 y (.f64 x y)))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y)))))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y)))))
(.f64 (/.f64 (.f64 (.f64 x y) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y))))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y))))))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y)))))
(.f64 (/.f64 (.f64 (.f64 x y) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y))))) (-.f64 #s(literal 0 binary64) (.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 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y)))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y))))) (.f64 x y))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y)))) (.f64 x (.f64 y (.f64 x y)))) (-.f64 #s(literal 0 binary64) (.f64 x y)))

simplify11.0ms (0.4%)

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)

eval162.0ms (6.1%)

Compiler: Compiled 17654 to 7454 computations (57.8% saved)

prune169.0ms (6.3%)

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 2 binary64)) x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize32.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (/.f64 y #s(literal 2 binary64)) x)
✓	accuracy	100.0%	(/.f64 y #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 (/.f64 y #s(literal 2 binary64)) x)

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	12	11
3	13	11
0	13	11

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

16.0ms

256×

valid

Compiler

Compiled 14 to 9 computations (35.7% saved)

Precisions

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

ival-div: 3.0ms (50.1% of total)

ival-mult: 2.0ms (33.4% of total)

const: 1.0ms (16.7% of total)

backward-pass: 0.0ms (0% of total)

series3.0ms (0.1%)

Counts

2 → 36

Calls

Call 1

Inputs
#<alt (* (/ y 2) x)>
#<alt (/ y 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 2)
0.0ms	y	@	inf	(/ y 2)
0.0ms	y	@	0	(/ y 2)
0.0ms	y	@	0	(* (/ y 2) x)
0.0ms	y	@	inf	(* (/ y 2) x)

rewrite500.0ms (18.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4580×	`accelerator-lowering-fma.f32`
4580×	`accelerator-lowering-fma.f64`
3630×	`-lowering-.f32`
3630×	`-lowering-.f64`
2632×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	18	8
2	64	8
3	235	8
4	1042	8
5	7295	8
0	8520	8

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 1076

Calls

Call 1

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

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

simplify24.0ms (0.9%)

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

eval268.0ms (10.1%)

Compiler: Compiled 16046 to 9859 computations (38.6% saved)

prune206.0ms (7.7%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	1112	0	1112
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	1112	1	1113

Accuracy

100.0%

Counts

1113 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes5.0ms (0.2%)

Accuracy

Total -0.0b remaining (-∞%)

Threshold costs -0b (-∞%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

1.0ms	x
1.0ms	y
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)

soundness0.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 7 to 5 computations (28.6% saved)

preprocess22.0ms (0.8%)

Remove

(sort x y)

(negabs y)

(negabs x)

Compiler

Compiled 112 to 80 computations (28.6% saved)

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

analyze0.0ms (0%)

sample638.0ms (24%)

preprocess49.0ms (1.8%)

explain45.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize29.0ms (1.1%)

series9.0ms (0.3%)

rewrite486.0ms (18.3%)

simplify11.0ms (0.4%)

eval162.0ms (6.1%)

prune169.0ms (6.3%)

localize32.0ms (1.2%)

series3.0ms (0.1%)

rewrite500.0ms (18.8%)

simplify24.0ms (0.9%)

eval268.0ms (10.1%)

prune206.0ms (7.7%)

regimes5.0ms (0.2%)

soundness0.0ms (0%)

preprocess22.0ms (0.8%)

end0.0ms (0%)

Profiling