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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

sample567.0ms (32.9%)

Memory

-6.7MiB live, 949.3MiB allocated

Samples

313.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 136.0ms

ival-mult: 63.0ms (46.4% of total)

ival-div: 59.0ms (43.5% of total)

ival-true: 6.0ms (4.4% of total)

exact: 5.0ms (3.7% of total)

ival-assert: 3.0ms (2.2% of total)

Bogosity

explain50.0ms (2.9%)

Memory

18.0MiB live, 141.6MiB 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

21.0ms

512×

valid

Compiler

Compiled 33 to 19 computations (42.4% saved)

Precisions

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

ival-mult: 4.0ms (50.4% of total)

ival-div: 3.0ms (37.8% of total)

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

exact: 0.0ms (0% of total)

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

preprocess56.0ms (3.3%)

Memory

-32.7MiB live, 45.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs y)

(negabs x)

(sort x y)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB 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)

simplify4.0ms (0.2%)

Memory

5.9MiB live, 5.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize13.0ms (0.8%)

Memory

22.5MiB live, 22.5MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 x y)
accuracy	0.0078125	(/.f64 (*.f64 x y) #s(literal 2 binary64))

Samples

9.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 2.0ms (52.1% of total)

ival-mult: 2.0ms (52.1% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.9%)

Memory

-30.7MiB live, 8.6MiB allocated

Counts

2 → 48

Calls

Call 1

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

Inputs

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

#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 x) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 x) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 x) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 x) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify4.0ms (0.2%)

Memory

7.3MiB live, 7.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

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

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

rewrite338.0ms (19.6%)

Memory

8.4MiB live, 204.0MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

2 → 901

Calls

Call 1

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

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

eval221.0ms (12.8%)

Memory: -5.7MiB live, 152.4MiB allocated
Compiler: Compiled 16 805 to 1 963 computations (88.3% saved)

prune188.0ms (10.9%)

Memory

18.1MiB live, 254.0MiB 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 #s(literal 1/2 binary64) y) x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify4.0ms (0.2%)

Memory

9.3MiB live, 9.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize16.0ms (0.9%)

Memory

-10.7MiB live, 26.0MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

12.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-mult: 3.0ms (89.9% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.2%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs

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

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

Outputs
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 y) (#s(alt (.f64 #s(literal 1/2 binary64) y) (patch (.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 y) (#s(alt (.f64 #s(literal 1/2 binary64) y) (patch (.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 y) (#s(alt (.f64 #s(literal 1/2 binary64) y) (patch (.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 y) (#s(alt (.f64 #s(literal 1/2 binary64) y) (patch (.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor inf y) (#s(alt (.f64 #s(literal 1/2 binary64) y) (patch (.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor inf y) (#s(alt (.f64 #s(literal 1/2 binary64) y) (patch (.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor inf y) (#s(alt (.f64 #s(literal 1/2 binary64) y) (patch (.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor inf y) (#s(alt (.f64 #s(literal 1/2 binary64) y) (patch (.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt (.f64 #s(literal 1/2 binary64) y) (patch (.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt (.f64 #s(literal 1/2 binary64) y) (patch (.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt (.f64 #s(literal 1/2 binary64) y) (patch (.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt (.f64 #s(literal 1/2 binary64) y) (patch (.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify4.0ms (0.2%)

Memory

5.6MiB live, 5.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

Calls

Call 1

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

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

rewrite13.0ms (0.8%)

Memory

-29.0MiB live, 16.0MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Counts

2 → 8

Calls

Call 1

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

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

eval4.0ms (0.2%)

Memory: 7.3MiB live, 7.3MiB allocated
Compiler: Compiled 258 to 16 computations (93.8% saved)

prune4.0ms (0.2%)

Memory

7.1MiB live, 7.1MiB allocated

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Accuracy

100.0%

Counts

45 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes6.0ms (0.4%)

Memory

13.9MiB live, 13.9MiB allocated

Accuracy

Total -0.0b remaining (-∞%)

Threshold costs -0b (-∞%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

simplify8.0ms (0.4%)

Memory

-25.4MiB live, 12.3MiB 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 #s(literal 1/2 binary64) y) x)

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

soundness153.0ms (8.9%)

Memory

6.6MiB live, 79.0MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

preprocess52.0ms (3%)

Memory

26.6MiB live, 110.9MiB allocated

Remove

(sort x y)

(negabs x)

(negabs y)

Compiler

Compiled 112 to 80 computations (28.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample567.0ms (32.9%)

explain50.0ms (2.9%)

preprocess56.0ms (3.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.2%)

localize13.0ms (0.8%)

series15.0ms (0.9%)

simplify4.0ms (0.2%)

rewrite338.0ms (19.6%)

eval221.0ms (12.8%)

prune188.0ms (10.9%)

simplify4.0ms (0.2%)

localize16.0ms (0.9%)

series4.0ms (0.2%)

simplify4.0ms (0.2%)

rewrite13.0ms (0.8%)

eval4.0ms (0.2%)

prune4.0ms (0.2%)

regimes6.0ms (0.4%)

simplify8.0ms (0.4%)

soundness153.0ms (8.9%)

preprocess52.0ms (3%)

end0.0ms (0%)

Profiling