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)

sample856.0ms (30.4%)

Memory

20.5MiB live, 703.3MiB allocated

Samples

330.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 168.0ms

ival-mult: 112.0ms (66.7% of total)

ival-sub: 43.0ms (25.6% of total)

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

exact: 5.0ms (3% of total)

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

Bogosity

explain126.0ms (4.5%)

Memory

-2.0MiB live, 91.0MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

22.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 7.0ms (69.3% of total)

ival-sub: 2.0ms (19.8% 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

14.9MiB live, 14.9MiB 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

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify4.0ms (0.2%)

Memory

5.6MiB live, 5.6MiB 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

localize24.0ms (0.8%)

Memory

-50.8MiB live, 21.5MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

20.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 12.0ms (89% of total)

ival-sub: 1.0ms (7.4% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB 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))

simplify304.0ms (10.8%)

Memory

-3.1MiB live, 222.8MiB 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))

rewrite176.0ms (6.3%)

Memory

20.7MiB live, 169.9MiB 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))))
(*.f64 (/.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))) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))))
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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))))

eval148.0ms (5.3%)

Memory: -6.4MiB live, 37.9MiB allocated
Compiler: Compiled 7 898 to 782 computations (90.1% saved)

prune4.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB 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

100.0%

Counts

246 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
▶	53.9%	#s(approx (* 1/2 (- (* x x) y)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
▶	48.5%	#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 31 to 25 computations (19.4% saved)

simplify6.0ms (0.2%)

Memory

2.1MiB live, 2.1MiB 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)

localize20.0ms (0.7%)

Memory

20.0MiB live, 20.0MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0.0	(.f64 (.f64 x x) #s(literal 1/2 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	29.504562661338536	#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	32.989440743539866	#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 (78.8% of total)

ival-sub: 1.0ms (13.1% of total)

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

exact: 0.0ms (0% of total)

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

series35.0ms (1.2%)

Memory

-38.7MiB live, 7.2MiB 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	@	0	((* 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	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	y	@	0	((* 1/2 (- (* x x) y)) (* -1/2 y) (* 1/2 (- (* x x) y)) (* (* x x) 1/2) (* x x))

simplify136.0ms (4.9%)

Memory

6.7MiB live, 104.9MiB 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))

rewrite95.0ms (3.4%)

Memory

34.5MiB live, 123.3MiB 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

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))))

eval29.0ms (1%)

Memory: -39.3MiB live, 5.8MiB allocated
Compiler: Compiled 440 to 99 computations (77.5% saved)

prune3.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	0	0
Picked	0	2	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
✓	100.0%	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
✓	53.9%	#s(approx (* 1/2 (- (* x x) y)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
✓	48.5%	#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 62 to 40 computations (35.5% saved)

regimes8.0ms (0.3%)

Memory

23.8MiB live, 23.8MiB allocated

Counts

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

Results

Accuracy	Segments	Branch
100.0%	1	`(*.f64 x x)`
100.0%	1	`(-.f64 (*.f64 x x) y)`
100.0%	1	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 17 to 17 computations (0% saved)

regimes7.0ms (0.2%)

Memory

14.4MiB live, 14.4MiB allocated

Counts

2 → 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 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 x) #s(literal 1/2 binary64)))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
87.4%	2	`(*.f64 x x)`
84.2%	2	`(-.f64 (*.f64 x x) y)`
84.2%	2	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
87.4%	2	`x`
70.0%	3	`y`

Compiler

Compiled 17 to 17 computations (0% saved)

regimes132.0ms (4.7%)

Memory

-55.8MiB live, 55.1MiB 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:

88.0ms	x
41.0ms	(*.f64 x x)
1.0ms	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
1.0ms	y
1.0ms	(-.f64 (*.f64 x x) y)

Results

Accuracy	Segments	Branch
48.5%	1	`y`
48.5%	1	`(-.f64 (*.f64 x x) y)`
48.5%	1	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
48.5%	1	`(*.f64 x x)`
48.5%	1	`x`

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch10.0ms (0.3%)

Memory

5.1MiB live, 5.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	5.306752156839352e+51	9.533940419273574e+53

Samples

4.0ms

112×

valid

Compiler

Compiled 178 to 158 computations (11.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sub: 1.0ms (48.7% of total)

ival-mult: 1.0ms (48.7% of total)

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

exact: 0.0ms (0% of total)

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

simplify10.0ms (0.3%)

Memory

7.7MiB live, 7.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	46
1	24	46
2	42	46
3	62	46
4	74	46

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x #s(literal 5399999999999999830470323263061203782512519558463488 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 x) #s(literal 1/2 binary64))))

#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 x #s(literal 5399999999999999830470323263061203782512519558463488 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 x) #s(literal 1/2 binary64))))

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

soundness641.0ms (22.8%)

Memory

-13.6MiB live, 127.6MiB allocated

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×	done
1×	iter limit
1×	node limit

Compiler

Compiled 57 to 31 computations (45.6% saved)

preprocess21.0ms (0.7%)

Memory: 31.2MiB live, 31.2MiB allocated
Remove: (abs x)
Compiler: Compiled 134 to 72 computations (46.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample856.0ms (30.4%)

explain126.0ms (4.5%)

preprocess15.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.2%)

localize24.0ms (0.8%)

series4.0ms (0.1%)

simplify304.0ms (10.8%)

rewrite176.0ms (6.3%)

eval148.0ms (5.3%)

prune4.0ms (0.1%)

simplify6.0ms (0.2%)

localize20.0ms (0.7%)

series35.0ms (1.2%)

simplify136.0ms (4.9%)

rewrite95.0ms (3.4%)

eval29.0ms (1%)

prune3.0ms (0.1%)

regimes8.0ms (0.3%)

regimes7.0ms (0.2%)

regimes132.0ms (4.7%)

bsearch10.0ms (0.3%)

simplify10.0ms (0.3%)

soundness641.0ms (22.8%)

preprocess21.0ms (0.7%)

end0.0ms (0%)

Profiling