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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

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)

sample665.0ms (60.5%)

Memory

-5.5MiB live, 953.7MiB allocated; 137ms collecting garbage

Samples

434.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 183.0ms

ival-mult!: 162.0ms (88.4% of total)

ival-sub!: 20.0ms (10.9% of total)

adjust: 1.0ms (0.5% of total)

Bogosity

explain82.0ms (7.5%)

Memory

-14.7MiB live, 136.1MiB allocated; 42ms collecting garbage

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

19.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult!: 6.0ms (83.5% of total)

ival-sub!: 1.0ms (13.9% of total)

adjust: 0.0ms (0% of total)

preprocess17.0ms (1.5%)

Memory

-11.1MiB live, 35.8MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	44
1	43	44
2	76	44
3	103	44
4	127	44
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; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

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)

series5.0ms (0.4%)

Memory

11.1MiB live, 11.1MiB allocated; 0ms collecting garbage

Counts

6 → 16

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
#s(approx (* 1/2 (- (* x x) y)) #s(hole binary64 (* -1/2 y)))
#s(approx (* 1/2 (- (* x x) y)) #s(hole binary64 (+ (* -1/2 y) (* 1/2 (pow x 2)))))
#s(approx (- (* x x) y) #s(hole binary64 (* -1 y)))
#s(approx (- (* x x) y) #s(hole binary64 (- (pow x 2) y)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* 1/2 (- (* x x) y)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* 1/2 (- (* x x) y)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))))
#s(approx (- (* x x) y) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) y) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))))
#s(approx (- (* x x) y) #s(hole binary64 (+ (* -1 y) (pow x 2))))
#s(approx y #s(hole binary64 y))
#s(approx (* 1/2 (- (* x x) y)) #s(hole binary64 (* y (- (* 1/2 (/ (pow x 2) y)) 1/2))))
#s(approx (- (* x x) y) #s(hole binary64 (* y (- (/ (pow x 2) y) 1))))
#s(approx (* 1/2 (- (* x x) y)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y)))))))
#s(approx (- (* x x) y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (pow x 2) y)))))))

Calls

6 calls:

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

rewrite79.0ms (7.2%)

Memory

12.4MiB live, 108.7MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	228
0	61	221
1	255	217
0	2173	214

Stop Event

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

Counts

22 → 103

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
#s(approx (* 1/2 (- (* x x) y)) #s(hole binary64 (* -1/2 y)))
#s(approx (* 1/2 (- (* x x) y)) #s(hole binary64 (+ (* -1/2 y) (* 1/2 (pow x 2)))))
#s(approx (- (* x x) y) #s(hole binary64 (* -1 y)))
#s(approx (- (* x x) y) #s(hole binary64 (- (pow x 2) y)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* 1/2 (- (* x x) y)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* 1/2 (- (* x x) y)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))))
#s(approx (- (* x x) y) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) y) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))))
#s(approx (- (* x x) y) #s(hole binary64 (+ (* -1 y) (pow x 2))))
#s(approx y #s(hole binary64 y))
#s(approx (* 1/2 (- (* x x) y)) #s(hole binary64 (* y (- (* 1/2 (/ (pow x 2) y)) 1/2))))
#s(approx (- (* x x) y) #s(hole binary64 (* y (- (/ (pow x 2) y) 1))))
#s(approx (* 1/2 (- (* x x) y)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y)))))))
#s(approx (- (* x x) y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (pow x 2) y)))))))

Outputs
(*.f64 (fma.f64 x x (neg.f64 y)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x x (neg.f64 y)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 y y)) #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 y (fma.f64 x x y) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 y y))) (fma.f64 x x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (fma.f64 x x y) (pow.f64 x #s(literal 4 binary64))))
(neg.f64 (*.f64 (fma.f64 x x (neg.f64 y)) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 x x (neg.f64 y))))
#s(literal 1/2 binary64)
(/.f64 (neg.f64 (-.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 (neg.f64 y) (.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 y y (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y))) (neg.f64 (fma.f64 x x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (fma.f64 x x y) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 y y)) (-.f64 (.f64 x x) (neg.f64 y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y)) (fma.f64 x x y))
(/.f64 (-.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64))) (-.f64 (neg.f64 y) (.f64 x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (fma.f64 x x y) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 y y) (.f64 y (*.f64 (neg.f64 x) x)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 y y (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) y))))
(fma.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 y))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (neg.f64 y))
(fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) (neg.f64 y))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (neg.f64 y))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1 binary64) (fabs.f64 x)) (neg.f64 y))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (neg.f64 y))
(fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x) (neg.f64 y))
(fma.f64 (*.f64 #s(literal 1 binary64) x) x (neg.f64 y))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (neg.f64 y))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (neg.f64 y))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (neg.f64 y))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (neg.f64 y))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 y))
(fma.f64 (neg.f64 x) (neg.f64 x) (neg.f64 y))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (neg.f64 y))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (neg.f64 y))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (neg.f64 y))
(fma.f64 #s(literal -1 binary64) y (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (neg.f64 y))
(fma.f64 y #s(literal -1 binary64) (*.f64 x x))
(fma.f64 x (*.f64 x #s(literal 1 binary64)) (neg.f64 y))
(fma.f64 x x (neg.f64 y))
(-.f64 (/.f64 (.f64 y y) (-.f64 (neg.f64 y) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (neg.f64 y) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x y)) (/.f64 (*.f64 y y) (fma.f64 x x y)))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 y (fma.f64 x x y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (fma.f64 x x y) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (neg.f64 y) (*.f64 (neg.f64 x) x))
(-.f64 (.f64 x x) (.f64 (neg.f64 y) #s(literal -1 binary64)))
(-.f64 (*.f64 x x) y)
(+.f64 (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 y y (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) y)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 y y (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) y)))))
(+.f64 (neg.f64 y) (*.f64 x x))
(+.f64 (*.f64 x x) (neg.f64 y))
(.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))
(.f64 (.f64 #s(literal 1 binary64) x) x)
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 x (.f64 x #s(literal 1 binary64)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 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))))
x
y
#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (* 1/2 (- (* x x) y)) (.f64 #s(literal -1/2 binary64) (-.f64 y (.f64 x x))))
#s(approx (- (* x x) y) (neg.f64 y))
#s(approx (- (* x x) y) (fma.f64 x x (neg.f64 y)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (* 1/2 (- (* x x) y)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (- (* x x) y)) (.f64 (.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) x))
#s(approx (- (* x x) y) (*.f64 x x))
#s(approx (- (* x x) y) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) x) x))
#s(approx (- (* x x) y) (fma.f64 x x (neg.f64 y)))
#s(approx y y)
#s(approx (* 1/2 (- (* x x) y)) (.f64 (-.f64 (.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) y))
#s(approx (- (* x x) y) (*.f64 (fma.f64 x (/.f64 x y) #s(literal -1 binary64)) y))
#s(approx (* 1/2 (- (* x x) y)) (.f64 (fma.f64 (/.f64 (.f64 x x) y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 y)))
#s(approx (- (* x x) y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) y)) (neg.f64 y)))

eval12.0ms (1.1%)

Memory: -18.6MiB live, 28.2MiB allocated; 2ms collecting garbage
Compiler: Compiled 1 275 to 323 computations (74.7% saved)

prune3.0ms (0.3%)

Memory

10.9MiB live, 10.9MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	101	3	104
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	3	105

Accuracy

100.0%

Counts

105 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (fma.f64 x x (neg.f64 y)) #s(literal 1/2 binary64))
▶	51.5%	(.f64 #s(literal 1/2 binary64) #s(approx (- ( x x) y) (*.f64 x x)))
▶	50.8%	#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 29 to 23 computations (20.7% saved)

series5.0ms (0.4%)

Memory

11.5MiB live, 11.5MiB allocated; 0ms collecting garbage

Counts

12 → 31

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

Outputs
#s(approx (* 1/2 (- (* x x) y)) #s(hole binary64 (* -1/2 y)))
#s(approx (* 1/2 (- (* x x) y)) #s(hole binary64 (+ (* -1/2 y) (* 1/2 (pow x 2)))))
#s(approx (- (* x x) y) #s(hole binary64 (* -1 y)))
#s(approx (- (* x x) y) #s(hole binary64 (- (pow x 2) y)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* x x) (neg y)) 1/2) #s(hole binary64 (* -1/2 y)))
#s(approx (* (+ (* x x) (neg y)) 1/2) #s(hole binary64 (+ (* -1/2 y) (* 1/2 (pow x 2)))))
#s(approx (+ (* x x) (neg y)) #s(hole binary64 (* -1 y)))
#s(approx (+ (* x x) (neg y)) #s(hole binary64 (- (pow x 2) y)))
#s(approx (* 1/2 (- (* x x) y)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* 1/2 (- (* x x) y)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))))
#s(approx (- (* x x) y) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) y) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))))
#s(approx (* (+ (* x x) (neg y)) 1/2) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* (+ (* x x) (neg y)) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))))
#s(approx (+ (* x x) (neg y)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (neg y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))))
#s(approx (* -1/2 y) #s(hole binary64 (* -1/2 y)))
#s(approx y #s(hole binary64 y))
#s(approx (- (* x x) y) #s(hole binary64 (+ (* -1 y) (pow x 2))))
#s(approx (+ (* x x) (neg y)) #s(hole binary64 (+ (* -1 y) (pow x 2))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx (* 1/2 (- (* x x) y)) #s(hole binary64 (* y (- (* 1/2 (/ (pow x 2) y)) 1/2))))
#s(approx (- (* x x) y) #s(hole binary64 (* y (- (/ (pow x 2) y) 1))))
#s(approx (* (+ (* x x) (neg y)) 1/2) #s(hole binary64 (* y (- (* 1/2 (/ (pow x 2) y)) 1/2))))
#s(approx (+ (* x x) (neg y)) #s(hole binary64 (* y (- (/ (pow x 2) y) 1))))
#s(approx (* 1/2 (- (* x x) y)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y)))))))
#s(approx (- (* x x) y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (pow x 2) y)))))))
#s(approx (* (+ (* x x) (neg y)) 1/2) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y)))))))
#s(approx (+ (* x x) (neg y)) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (pow x 2) y)))))))

Calls

6 calls:

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

rewrite98.0ms (9%)

Memory

11.9MiB live, 142.8MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	475
0	85	460
1	299	452
0	2327	446

Stop Event

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

Counts

43 → 156

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

Outputs
#s(approx (* (+ (* x x) (neg y)) 1/2) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 y #s(literal -1/2 binary64))
(neg.f64 (*.f64 y #s(literal 1/2 binary64)))
#s(literal -1/2 binary64)
y
(.f64 #s(approx (+ ( x x) (neg y)) (*.f64 x x)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) #s(approx (+ ( x x) (neg y)) (*.f64 x x)))
(neg.f64 (.f64 #s(approx (+ ( x x) (neg y)) (*.f64 x x)) #s(literal -1/2 binary64)))
(neg.f64 (.f64 #s(literal -1/2 binary64) #s(approx (+ ( x x) (neg y)) (*.f64 x x))))
#s(literal 1/2 binary64)
#s(approx (+ (* x x) (neg y)) (*.f64 x x))
(.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))
(.f64 (.f64 #s(literal 1 binary64) x) x)
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 x (.f64 x #s(literal 1 binary64)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 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))))
x
(*.f64 (fma.f64 x x (neg.f64 y)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x x (neg.f64 y)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 x x y))
(/.f64 (.f64 (-.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (-.f64 (neg.f64 y) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 y (fma.f64 x x 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))) #s(literal 1/2 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x y) (*.f64 y y)))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 y y))) (fma.f64 x x y))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (neg.f64 y) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (fma.f64 x x y) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (.f64 x x) (fma.f64 x x y) (*.f64 y y)))
(neg.f64 (*.f64 (fma.f64 x x (neg.f64 y)) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 x x (neg.f64 y))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 x) (.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 x) (.f64 #s(literal 1/2 binary64) (neg.f64 y)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (fabs.f64 x) (.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (fabs.f64 x) (.f64 #s(literal 1/2 binary64) (neg.f64 y)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 #s(literal 1/2 binary64) (neg.f64 y)))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/2 binary64)) (.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (neg.f64 y)))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (neg.f64 y)))
(fma.f64 (neg.f64 y) #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (neg.f64 y)))
(fma.f64 x (.f64 x #s(literal 1/2 binary64)) (.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(fma.f64 x (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (neg.f64 y)))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 #s(literal 1/2 binary64) (neg.f64 y)))
(+.f64 (.f64 (neg.f64 y) #s(literal 1/2 binary64)) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 y)) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (neg.f64 y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y))) (neg.f64 (fma.f64 x x y)))
(/.f64 (neg.f64 (-.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 (neg.f64 y) (.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (fma.f64 x x y) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 x x y) (.f64 y y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y)) (fma.f64 x x y))
(/.f64 (-.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64))) (-.f64 (neg.f64 y) (.f64 x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (fma.f64 x x y) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (.f64 x x) (fma.f64 x x y) (.f64 y y)))
(fma.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 y))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (neg.f64 y))
(fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) (neg.f64 y))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (neg.f64 y))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1 binary64) (fabs.f64 x)) (neg.f64 y))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (neg.f64 y))
(fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x) (neg.f64 y))
(fma.f64 (*.f64 #s(literal 1 binary64) x) x (neg.f64 y))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (neg.f64 y))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (neg.f64 y))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (neg.f64 y))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (neg.f64 y))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 y))
(fma.f64 (neg.f64 x) (neg.f64 x) (neg.f64 y))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (neg.f64 y))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (neg.f64 y))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (neg.f64 y))
(fma.f64 #s(literal -1 binary64) y (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (neg.f64 y))
(fma.f64 y #s(literal -1 binary64) (*.f64 x x))
(fma.f64 x (*.f64 x #s(literal 1 binary64)) (neg.f64 y))
(fma.f64 x x (neg.f64 y))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 y (fma.f64 x x y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (fma.f64 x x y) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (.f64 y y) (-.f64 (neg.f64 y) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (neg.f64 y) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x y)) (/.f64 (*.f64 y y) (fma.f64 x x y)))
(-.f64 (neg.f64 y) (*.f64 (neg.f64 x) x))
(-.f64 (.f64 x x) (.f64 (neg.f64 y) #s(literal -1 binary64)))
(-.f64 (*.f64 x x) y)
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 y (fma.f64 x x y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 y (fma.f64 x x y) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x y) (.f64 y y))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x y) (.f64 y y))))
(+.f64 (neg.f64 y) (*.f64 x x))
(+.f64 (*.f64 x x) (neg.f64 y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(neg.f64 y)
#s(approx (* (+ (* x x) (neg y)) 1/2) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (* (+ (* x x) (neg y)) 1/2) (.f64 #s(literal -1/2 binary64) (-.f64 y (.f64 x x))))
#s(approx (+ (* x x) (neg y)) (neg.f64 y))
#s(approx (+ (* x x) (neg y)) (fma.f64 x x (neg.f64 y)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (* (+ (* x x) (neg y)) 1/2) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (* (+ (* x x) (neg y)) 1/2) (.f64 #s(literal -1/2 binary64) (-.f64 y (.f64 x x))))
#s(approx (+ (* x x) (neg y)) (neg.f64 y))
#s(approx (+ (* x x) (neg y)) (fma.f64 x x (neg.f64 y)))
#s(approx (* (+ (* x x) (neg y)) 1/2) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* x x) (neg y)) 1/2) (.f64 (.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) x))
#s(approx (+ (* x x) (neg y)) (*.f64 x x))
#s(approx (+ (* x x) (neg y)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) x) x))
#s(approx (* (+ (* x x) (neg y)) 1/2) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* x x) (neg y)) 1/2) (.f64 (.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) x))
#s(approx (+ (* x x) (neg y)) (*.f64 x x))
#s(approx (+ (* x x) (neg y)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) x) x))
#s(approx (* -1/2 y) (*.f64 #s(literal -1/2 binary64) y))
#s(approx y y)
#s(approx (+ (* x x) (neg y)) (fma.f64 x x (neg.f64 y)))
#s(approx (+ (* x x) (neg y)) (fma.f64 x x (neg.f64 y)))
#s(approx (neg y) (neg.f64 y))
#s(approx (* (+ (* x x) (neg y)) 1/2) (.f64 (-.f64 (.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) y))
#s(approx (+ (* x x) (neg y)) (*.f64 (fma.f64 x (/.f64 x y) #s(literal -1 binary64)) y))
#s(approx (* (+ (* x x) (neg y)) 1/2) (.f64 (-.f64 (.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) y))
#s(approx (+ (* x x) (neg y)) (*.f64 (fma.f64 x (/.f64 x y) #s(literal -1 binary64)) y))
#s(approx (* (+ (* x x) (neg y)) 1/2) (.f64 (fma.f64 (/.f64 (.f64 x x) y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 y)))
#s(approx (+ (* x x) (neg y)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) y)) (neg.f64 y)))
#s(approx (* (+ (* x x) (neg y)) 1/2) (.f64 (fma.f64 (/.f64 (.f64 x x) y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 y)))
#s(approx (+ (* x x) (neg y)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) y)) (neg.f64 y)))

eval22.0ms (2%)

Memory: -9.8MiB live, 35.5MiB allocated; 9ms collecting garbage
Compiler: Compiled 1 928 to 386 computations (80% saved)

prune6.0ms (0.5%)

Memory

15.4MiB live, 15.4MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	149	3	152

Accuracy

100.0%

Counts

152 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (fma.f64 x x (neg.f64 y)) #s(literal 1/2 binary64))
✓	51.5%	(.f64 #s(literal 1/2 binary64) #s(approx (- ( x x) y) (*.f64 x x)))
✓	50.8%	#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 65 to 41 computations (36.9% saved)

regimes10.0ms (0.9%)

Memory

-26.0MiB live, 21.9MiB allocated; 2ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	(-.f64 (*.f64 x x) y)
2.0ms	y
2.0ms	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
2.0ms	x
2.0ms	(*.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)

regimes8.0ms (0.7%)

Memory

19.2MiB live, 19.2MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

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

regimes6.0ms (0.6%)

Memory

16.0MiB live, 16.0MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

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
89.2%	2	`(*.f64 x x)`
79.6%	2	`(-.f64 (*.f64 x x) y)`
79.6%	2	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
89.2%	2	`x`
62.9%	3	`y`

Compiler

Compiled 17 to 17 computations (0% saved)

regimes21.0ms (1.9%)

Memory

-41.9MiB live, 14.0MiB allocated; 19ms collecting garbage

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:

16.0ms	(*.f64 x x)
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)

Results

Accuracy	Segments	Branch
50.8%	1	`y`
50.8%	1	`(-.f64 (*.f64 x x) y)`
50.8%	1	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
50.8%	1	`(*.f64 x x)`
50.8%	1	`x`

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch9.0ms (0.8%)

Memory

15.2MiB live, 15.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1.4770423929404762e-6	0.00024277930543204726

Samples

4.0ms

112×

valid

Compiler

Compiled 164 to 144 computations (12.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-mult!: 1.0ms (77.2% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

derivations27.0ms (2.5%)

Memory

-13.2MiB live, 35.2MiB allocated; 4ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 51 to 21 computations (58.8% saved)

preprocess23.0ms (2.1%)

Memory: 4.1MiB live, 49.4MiB allocated; 5ms collecting garbage
Remove: (abs x)
Compiler: Compiled 218 to 128 computations (41.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample665.0ms (60.5%)

explain82.0ms (7.5%)

preprocess17.0ms (1.5%)

eval0.0ms (0%)

prune0.0ms (0%)

series5.0ms (0.4%)

rewrite79.0ms (7.2%)

eval12.0ms (1.1%)

prune3.0ms (0.3%)

series5.0ms (0.4%)

rewrite98.0ms (9%)

eval22.0ms (2%)

prune6.0ms (0.5%)

regimes10.0ms (0.9%)

regimes8.0ms (0.7%)

regimes6.0ms (0.6%)

regimes21.0ms (1.9%)

bsearch9.0ms (0.8%)

derivations27.0ms (2.5%)

preprocess23.0ms (2.1%)

end0.0ms (0%)

Profiling