Metrics for System.Random.MWC.Distributions:standard from mwc-random-0.13.3.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample566.0ms (18.2%)

Memory

37.8MiB live, 728.1MiB allocated

Samples

338.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 175.0ms

ival-mult: 121.0ms (69% of total)

ival-sub: 40.0ms (22.8% of total)

ival-true: 6.0ms (3.4% of total)

exact: 5.0ms (2.9% of total)

ival-assert: 3.0ms (1.7% of total)

Bogosity

explain103.0ms (3.3%)

Memory

-10.3MiB live, 76.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
0	-	-	`y`
0	-	-	`(-.f64 (*.f64 x x) y)`
0	-	-	`#s(literal 1/2 binary64)`
0	-	-	`(*.f64 x x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`	*no**	1	0

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

63.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 47.0ms (93.5% of total)

ival-sub: 3.0ms (6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess15.0ms (0.5%)

Memory

15.2MiB live, 15.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	37
1	41	37
2	74	37
3	101	37
4	125	37
0	6	7
0	9	7
1	14	7
2	27	7
3	46	7
4	58	7
0	58	7

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify4.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	14	18
2	27	18
3	46	18
4	58	18
0	58	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize19.0ms (0.6%)

Memory

-17.7MiB live, 19.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 (*.f64 x x) y)
accuracy	0.0	(*.f64 x x)
accuracy	0.20278021027544016	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))

Samples

14.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-mult: 3.0ms (60.7% of total)

ival-sub: 1.0ms (20.2% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB allocated

Counts

3 → 13

Calls

Call 1

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

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

Calls

6 calls:

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

simplify269.0ms (8.7%)

Memory

19.4MiB live, 199.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	74
1	109	66
2	362	66
3	1514	66
4	4452	66
5	6334	66
6	6943	66
7	7241	66
0	8542	66

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 13

Calls

Call 1

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

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

rewrite245.0ms (7.9%)

Memory

-25.2MiB live, 181.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	29	15
2	197	15
3	2129	15
0	9773	13

Stop Event

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

Counts

3 → 239

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (fma.f64 x x y) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (fma.f64 x x y) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))))
(.f64 (/.f64 (.f64 (fma.f64 x x y) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)))) (/.f64 (fma.f64 x x y) (fma.f64 x x y)))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)))) (fma.f64 x x y))
(.f64 (/.f64 (.f64 (fma.f64 x x y) #s(literal 1/2 binary64)) (fma.f64 x x y)) (/.f64 (fma.f64 x x y) (/.f64 (fma.f64 x x y) (fma.f64 x x y))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)))) (/.f64 #s(literal -1/2 binary64) (fma.f64 x x y)))
(.f64 (/.f64 (fma.f64 x x y) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (.f64 (fma.f64 x x y) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))))
(.f64 (/.f64 (fma.f64 x x y) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)))) (/.f64 (.f64 (fma.f64 x x y) #s(literal 1/2 binary64)) (fma.f64 x x y)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 x x y)) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (/.f64 (fma.f64 x x y) (fma.f64 x x y))))
(.f64 (/.f64 (fma.f64 x x y) (fma.f64 x x y)) (/.f64 (.f64 (fma.f64 x x y) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x y) (fma.f64 x x y))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 (fma.f64 x x y) y) #s(literal 3 binary64)))) (fma.f64 (.f64 (fma.f64 x x y) y) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x y)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))))
(.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 x x y)) (fma.f64 x x y)) (fma.f64 x x y))
(*.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 x x y)))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (fma.f64 x x y) (/.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x y) (fma.f64 x x y))))
(*.f64 (fma.f64 x x y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x x y))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)))) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (fma.f64 x x y))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64))) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (fma.f64 x x y))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fma.f64 x x y))
(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) (fma.f64 x x y)) (/.f64 (.f64 (*.f64 (neg.f64 y) y) #s(literal 1/2 binary64)) (fma.f64 x x y)))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x y)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 y) y)) (fma.f64 x x y)))
(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 12 binary64))) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 x x y))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 x x y) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x y))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 x x y) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 x x y) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 x x y))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 x x y) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x y)))
(.f64 (/.f64 (fma.f64 x x y) (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) (/.f64 (-.f64 (.f64 x x) (neg.f64 y)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (fma.f64 x x y) (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) (/.f64 (fma.f64 x x y) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))))
(.f64 (/.f64 (fma.f64 x x y) (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 (fma.f64 x x y) y) #s(literal 3 binary64))))) (/.f64 (-.f64 (.f64 x x) (neg.f64 y)) (fma.f64 (.f64 (fma.f64 x x y) y) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(.f64 (/.f64 (fma.f64 x x y) (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 (fma.f64 x x y) y) #s(literal 3 binary64))))) (/.f64 (fma.f64 x x y) (fma.f64 (*.f64 (fma.f64 x x y) y) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(.f64 (/.f64 (fma.f64 x x y) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (-.f64 (.f64 x x) (neg.f64 y)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (fma.f64 x x y) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (fma.f64 x x y) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))))
(.f64 (/.f64 (fma.f64 x x y) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)))) (/.f64 (-.f64 (.f64 x x) (neg.f64 y)) (fma.f64 x x y)))
(*.f64 (/.f64 (fma.f64 x x y) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)))) (/.f64 (fma.f64 x x y) (fma.f64 x x y)))
(.f64 (/.f64 (fma.f64 x x y) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (-.f64 (.f64 x x) (neg.f64 y)) (/.f64 (fma.f64 x x y) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (/.f64 (fma.f64 x x y) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (fma.f64 x x y) (/.f64 (fma.f64 x x y) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))))))
(.f64 (/.f64 (fma.f64 x x y) (fma.f64 x x y)) (/.f64 (-.f64 (.f64 x x) (neg.f64 y)) (/.f64 (fma.f64 x x y) (fma.f64 x x y))))
(*.f64 (/.f64 (fma.f64 x x y) (fma.f64 x x y)) (/.f64 (fma.f64 x x y) (/.f64 (fma.f64 x x y) (fma.f64 x x y))))
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(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (fma.f64 x x y)) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (fma.f64 x x y)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (fma.f64 x x y)) (*.f64 y (/.f64 y (fma.f64 x x y))))
(fma.f64 (.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (.f64 (*.f64 (neg.f64 y) y) y) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (fma.f64 x x y)) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (fma.f64 x x y)))
(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (fma.f64 x x y)) (*.f64 y (/.f64 y (fma.f64 x x y))))
(fma.f64 (neg.f64 y) (/.f64 y (fma.f64 x x y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x y)))
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (.f64 x x) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (.f64 x x) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (.f64 (*.f64 (neg.f64 y) y) y) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (*.f64 x x) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 y (/.f64 y (fma.f64 x x y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x y)))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x y)) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (fma.f64 x x y)))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x y)) (*.f64 y (/.f64 y (fma.f64 x x y))))
(fma.f64 x x (neg.f64 y))
(fma.f64 x x y)
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (fma.f64 x x y)) (/.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (fma.f64 x x y)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x y)) (.f64 y (/.f64 y (fma.f64 x x y))))))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x y)) (.f64 y (/.f64 y (fma.f64 x x y))))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))))))) (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))))))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x y)) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 x x y) (*.f64 y y)) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 3 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 12 binary64))) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 y #s(literal 9 binary64)) (.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 12 binary64))) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))) (fma.f64 x x y)) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))) (fma.f64 x x y)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 x x y) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 x x y)) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 x x y) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 x x y)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (fma.f64 x x y) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64))) (fma.f64 x x y))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (fma.f64 x x y) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64))) (fma.f64 x x y))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 y x) x)))) (/.f64 (.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (*.f64 y x) x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 y x) x)))) (/.f64 (.f64 (.f64 (neg.f64 y) y) y) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 y x) x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 y x) x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 y x) x)))))
(-.f64 (*.f64 y (/.f64 y (fma.f64 x x y))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x y)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x y)) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) y) (fma.f64 x x y)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x y)) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (fma.f64 x x y)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x y)) (*.f64 y (/.f64 y (fma.f64 x x y))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (.f64 (.f64 (neg.f64 y) y) y) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (*.f64 x x) y)
(-.f64 y (*.f64 x x))
(+.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 3 binary64))) (/.f64 (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)) (pow.f64 (fma.f64 x x y) #s(literal 3 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (fma.f64 x x y) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64))) (fma.f64 x x y))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (fma.f64 x x y) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64))) (fma.f64 x x y))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 y x) x)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 y x) x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 y x) x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 y x) x)))))
(+.f64 (*.f64 y (/.f64 y (fma.f64 x x y))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x y)))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x y)) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (fma.f64 x x y)))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x y)) (*.f64 y (/.f64 y (fma.f64 x x y))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (.f64 (.f64 (neg.f64 y) y) y) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (*.f64 x x) (neg.f64 y))
(+.f64 (*.f64 x x) y)
(+.f64 (neg.f64 y) (*.f64 x x))
(+.f64 y (*.f64 x x))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))))))
(neg.f64 (*.f64 x x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 x x))
(exp.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))

eval24.0ms (0.8%)

Memory: 33.3MiB live, 33.3MiB allocated
Compiler: Compiled 7 898 to 782 computations (90.1% saved)

prune107.0ms (3.4%)

Memory

-11.5MiB live, 39.8MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	243	2	245
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	243	3	246

Accuracy

99.7%

Counts

246 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
▶	45.3%	#s(approx (* 1/2 (- (* x x) y)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
▶	56.4%	#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 31 to 25 computations (19.4% saved)

simplify5.0ms (0.2%)

Memory

4.9MiB live, 4.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
0	15	39
1	24	39
2	48	39
3	88	39
4	120	39
5	138	39
6	141	39
0	141	39

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize42.0ms (1.4%)

Memory

-14.6MiB live, 24.4MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.21059271027544016	(.f64 (.f64 x x) #s(literal 1/2 binary64))
accuracy	34.798287694613336	#s(approx (* 1/2 (- (* x x) y)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	27.928749785968403	#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Samples

15.0ms

256×

valid

Compiler

Compiled 31 to 11 computations (64.5% saved)

Precisions

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

ival-mult: 6.0ms (75.6% of total)

ival-sub: 1.0ms (12.6% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

5 → 7

Calls

Call 1

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

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

Calls

6 calls:

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

simplify122.0ms (3.9%)

Memory

-7.5MiB live, 108.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	47
1	61	39
2	196	39
3	693	39
4	3435	39
0	8557	39

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 7

Calls

Call 1

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

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

rewrite102.0ms (3.3%)

Memory

-2.4MiB live, 157.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
0	15	35
1	39	35
2	218	35
3	2169	35
0	9361	33

Stop Event

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

Counts

5 → 24

Calls

Call 1

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

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

eval3.0ms (0.1%)

Memory: 5.4MiB live, 5.4MiB allocated
Compiler: Compiled 440 to 99 computations (77.5% saved)

prune2.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	27	3	30

Accuracy

100.0%

Counts

30 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
▶	45.6%	#s(approx (* 1/2 (- (* x x) y)) (.f64 (.f64 x #s(literal 1/2 binary64)) x))
✓	56.4%	#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 31 to 25 computations (19.4% saved)

simplify5.0ms (0.2%)

Memory

9.5MiB live, 9.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
0	11	23
1	19	23
2	34	23
3	71	23
4	108	23
5	128	23
6	128	23
0	128	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize67.0ms (2.2%)

Memory

-14.8MiB live, 24.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(.f64 (.f64 x #s(literal 1/2 binary64)) x)
accuracy	0.0	(*.f64 x #s(literal 1/2 binary64))
accuracy	34.798287694613336	#s(approx (* 1/2 (- (* x x) y)) (.f64 (.f64 x #s(literal 1/2 binary64)) x))

Samples

62.0ms

256×

valid

Compiler

Compiled 19 to 10 computations (47.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 54.0ms (96.4% of total)

ival-sub: 1.0ms (1.8% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated

Counts

3 → 7

Calls

Call 1

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

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

Calls

6 calls:

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

simplify305.0ms (9.8%)

Memory

-13.9MiB live, 62.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	47
1	63	39
2	196	39
3	685	39
4	3438	39
0	8492	39

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 7

Calls

Call 1

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

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

rewrite111.0ms (3.6%)

Memory

36.2MiB live, 115.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
0	11	21
1	34	21
2	204	21
3	2148	21
0	9326	20

Stop Event

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

Counts

3 → 8

Calls

Call 1

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

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

eval36.0ms (1.2%)

Memory: -36.5MiB live, 2.6MiB allocated
Compiler: Compiled 167 to 36 computations (78.4% saved)

prune3.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	12	0	12
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	12	3	15

Accuracy

100.0%

Counts

15 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
✓	45.6%	#s(approx (* 1/2 (- (* x x) y)) (.f64 (.f64 x #s(literal 1/2 binary64)) x))
✓	56.4%	#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 75 to 43 computations (42.7% saved)

regimes10.0ms (0.3%)

Memory

19.3MiB live, 19.3MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

2.0ms	x
2.0ms	y
2.0ms	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
2.0ms	(-.f64 (*.f64 x x) y)
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
99.7%	1	`(-.f64 (*.f64 x x) y)`
99.7%	1	`(*.f64 x x)`

Compiler

Compiled 17 to 17 computations (0% saved)

regimes37.0ms (1.2%)

Memory

-23.6MiB live, 15.9MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

5 calls:

30.0ms	x
2.0ms	y
2.0ms	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
2.0ms	(-.f64 (*.f64 x x) y)
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
87.6%	2	`x`
66.5%	3	`y`
79.6%	2	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
79.6%	2	`(-.f64 (*.f64 x x) y)`
87.6%	2	`(*.f64 x x)`

Compiler

Compiled 17 to 17 computations (0% saved)

regimes6.0ms (0.2%)

Memory

16.5MiB live, 16.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

1.0ms	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
1.0ms	(*.f64 x x)
1.0ms	(-.f64 (*.f64 x x) y)
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
56.4%	1	`y`
56.4%	1	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
56.4%	1	`(-.f64 (*.f64 x x) y)`
56.4%	1	`x`
56.4%	1	`(*.f64 x x)`

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3472301424656016e-107	1.426927118578192e-103

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify10.0ms (0.3%)

Memory

19.1MiB live, 19.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	48
1	25	48
2	43	48
3	63	48
4	75	48

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 x x) #s(literal 3305279843951243/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064 binary64)) #s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y)) #s(approx (* 1/2 (- (* x x) y)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)))

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

Outputs

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

(if (<=.f64 (*.f64 x x) #s(literal 3305279843951243/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064 binary64)) #s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y)) #s(approx (* 1/2 (- (* x x) y)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)))

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

soundness818.0ms (26.3%)

Memory

-30.9MiB live, 253.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
0	15	35
1	39	35
2	218	35
3	2169	35
0	9361	33
0	35	74
1	109	66
2	362	66
3	1514	66
4	4452	66
5	6334	66
6	6943	66
7	7241	66
0	8542	66

Stop Event

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

Compiler

Compiled 72 to 42 computations (41.7% saved)

preprocess63.0ms (2%)

Memory: 18.9MiB live, 58.1MiB allocated
Remove: (abs x)
Compiler: Compiled 138 to 74 computations (46.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample566.0ms (18.2%)

explain103.0ms (3.3%)

preprocess15.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize19.0ms (0.6%)

series3.0ms (0.1%)

simplify269.0ms (8.7%)

rewrite245.0ms (7.9%)

eval24.0ms (0.8%)

prune107.0ms (3.4%)

simplify5.0ms (0.2%)

localize42.0ms (1.4%)

series3.0ms (0.1%)

simplify122.0ms (3.9%)

rewrite102.0ms (3.3%)

eval3.0ms (0.1%)

prune2.0ms (0.1%)

simplify5.0ms (0.2%)

localize67.0ms (2.2%)

series3.0ms (0.1%)

simplify305.0ms (9.8%)

rewrite111.0ms (3.6%)

eval36.0ms (1.2%)

prune3.0ms (0.1%)

regimes10.0ms (0.3%)

regimes37.0ms (1.2%)

regimes6.0ms (0.2%)

bsearch0.0ms (0%)

simplify10.0ms (0.3%)

soundness818.0ms (26.3%)

preprocess63.0ms (2%)

end0.0ms (0%)

Profiling