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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample949.0ms (68.5%)

Memory

1.5MiB live, 740.6MiB allocated; 916ms collecting garbage

Samples

686.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 448.0ms

ival-sub: 312.0ms (69.6% of total)

ival-mult: 125.0ms (27.9% of total)

exact: 7.0ms (1.6% of total)

adjust: 2.0ms (0.4% of total)

ival-assert: 2.0ms (0.4% of total)

Bogosity

explain89.0ms (6.4%)

Memory

15.0MiB live, 61.2MiB allocated; 4ms 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

53.0ms

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 (71% of total)

ival-sub: 2.0ms (20.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess19.0ms (1.4%)

Memory

-17.4MiB live, 25.1MiB allocated; 10ms 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)

prune1.0ms (0.1%)

Memory

1.3MiB live, 1.3MiB 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 (0.3%)

Memory

7.9MiB live, 7.9MiB 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	y	@	0	((* 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	@	-inf	((* 1/2 (- (* x x) y)) 1/2 (- (* x x) y) (* x x) x y)

rewrite117.0ms (8.5%)

Memory

-22.1MiB live, 94.8MiB allocated; 21ms 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)))

eval10.0ms (0.7%)

Memory: 10.1MiB live, 10.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 275 to 323 computations (74.7% saved)

prune4.0ms (0.3%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	102	2	104
Fresh	0	0	0
Picked	0	1	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 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
▶	52.1%	(.f64 #s(literal 1/2 binary64) #s(approx (- ( x x) y) (*.f64 x x)))
▶	50.7%	#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 29 to 23 computations (20.7% saved)

series4.0ms (0.3%)

Memory

3.1MiB live, 3.1MiB allocated; 0ms collecting garbage

Counts

9 → 17

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

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 (* -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 (* 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	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)
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)
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)
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)
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)

rewrite78.0ms (5.6%)

Memory

21.5MiB live, 66.3MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	258
0	62	251
1	256	247
0	2179	244

Stop Event

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

Counts

26 → 64

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

eval10.0ms (0.7%)

Memory: -28.1MiB live, 13.7MiB allocated; 7ms collecting garbage
Compiler: Compiled 872 to 202 computations (76.8% saved)

prune4.0ms (0.3%)

Memory

11.3MiB live, 11.3MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	63	3	66

Accuracy

100.0%

Counts

66 → 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))
✓	52.1%	(.f64 #s(literal 1/2 binary64) #s(approx (- ( x x) y) (*.f64 x x)))
✓	50.7%	#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 58 to 38 computations (34.5% saved)

regimes8.0ms (0.6%)

Memory

21.5MiB live, 21.5MiB 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
2.0ms	(-.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)

regimes9.0ms (0.7%)

Memory

-23.3MiB live, 21.0MiB allocated; 4ms 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:

4.0ms	x
1.0ms	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
1.0ms	y
1.0ms	(-.f64 (*.f64 x x) y)
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
90.8%	2	`(*.f64 x x)`
81.0%	2	`(-.f64 (*.f64 x x) y)`
81.0%	2	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
90.8%	2	`x`
68.1%	3	`y`

Compiler

Compiled 17 to 17 computations (0% saved)

regimes5.0ms (0.4%)

Memory

18.3MiB live, 18.3MiB allocated; 0ms 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:

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

Results

Accuracy	Segments	Branch
50.7%	1	`y`
50.7%	1	`(-.f64 (*.f64 x x) y)`
50.7%	1	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
50.7%	1	`(*.f64 x x)`
50.7%	1	`x`

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch13.0ms (1%)

Memory

-40.0MiB live, 20.3MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.8396533155111962e-22	3.268589584547281e-20

Samples

6.0ms

112×

valid

Compiler

Compiled 164 to 144 computations (12.2% saved)

Precisions

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

ival-mult: 1.0ms (48.1% of total)

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify9.0ms (0.6%)

Memory

27.0MiB live, 27.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	44
1	24	44
2	42	44
3	62	44
4	74	44

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x #s(literal 5316911983139663/166153499473114484112975882535043072 binary64)) #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))))

#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 5316911983139663/166153499473114484112975882535043072 binary64)) #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))))

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

derivations13.0ms (1%)

Memory

11.3MiB live, 11.3MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 44 to 18 computations (59.1% saved)

preprocess35.0ms (2.5%)

Memory: -31.8MiB live, 15.1MiB allocated; 2ms collecting garbage
Remove: (abs x)
Compiler: Compiled 130 to 72 computations (44.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample949.0ms (68.5%)

explain89.0ms (6.4%)

preprocess19.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0.1%)

series5.0ms (0.3%)

rewrite117.0ms (8.5%)

eval10.0ms (0.7%)

prune4.0ms (0.3%)

series4.0ms (0.3%)

rewrite78.0ms (5.6%)

eval10.0ms (0.7%)

prune4.0ms (0.3%)

regimes8.0ms (0.6%)

regimes9.0ms (0.7%)

regimes5.0ms (0.4%)

bsearch13.0ms (1%)

simplify9.0ms (0.6%)

derivations13.0ms (1%)

preprocess35.0ms (2.5%)

end0.0ms (0%)

Profiling