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)

sample747.0ms (49.4%)

Memory

36.7MiB live, 675.8MiB allocated; 257ms collecting garbage

Samples

525.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 269.0ms

ival-mult: 130.0ms (48.4% of total)

ival-sub: 127.0ms (47.3% of total)

exact: 7.0ms (2.6% of total)

ival-assert: 3.0ms (1.1% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

explain63.0ms (4.2%)

Memory

23.3MiB live, 70.0MiB allocated; 3ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

25.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 7.0ms (65.5% of total)

ival-sub: 2.0ms (18.7% 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)

preprocess14.0ms (0.9%)

Memory

17.6MiB live, 17.6MiB allocated; 0ms 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: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

series10.0ms (0.7%)

Memory

-44.3MiB live, 6.7MiB allocated; 8ms 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
6.0ms	x	@	0	((* 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	@	-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	y	@	-inf	((* 1/2 (- (* x x) y)) 1/2 (- (* x x) y) (* x x) x y)

rewrite83.0ms (5.5%)

Memory

31.1MiB live, 74.9MiB allocated; 9ms 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 (0.8%)

Memory: -30.8MiB live, 16.7MiB allocated; 2ms collecting garbage
Compiler: Compiled 1 275 to 323 computations (74.7% saved)

prune3.0ms (0.2%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	100	4	104
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	4	105

Accuracy

100.0%

Counts

105 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(*.f64 (fma.f64 x x (neg.f64 y)) #s(literal 1/2 binary64))
▶	54.0%	(.f64 #s(literal 1/2 binary64) #s(approx (- ( x x) y) (*.f64 x x)))
▶	73.3%	#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))
▶	48.3%	#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 49 to 37 computations (24.5% saved)

series13.0ms (0.8%)

Memory

19.0MiB live, 19.0MiB allocated; 0ms collecting garbage

Counts

17 → 52

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 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) x))
(.f64 (.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) x)
(.f64 (fma.f64 (/.f64 y (.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)
(fma.f64 (/.f64 y (*.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(/.f64 y (*.f64 x x))
(*.f64 x x)
x
#s(literal 1/2 binary64)
(.f64 #s(literal 1/2 binary64) #s(approx (- ( x x) y) (*.f64 x x)))
#s(approx (- (* x x) y) (*.f64 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 (* (* (+ (* (/ y (* x x)) -1/2) 1/2) x) x) #s(hole binary64 (* -1/2 y)))
#s(approx (* (* (+ (* (/ y (* x x)) -1/2) 1/2) x) x) #s(hole binary64 (+ (* -1/2 y) (* 1/2 (pow x 2)))))
#s(approx (* (+ (* (/ y (* x x)) -1/2) 1/2) x) #s(hole binary64 (* -1/2 (/ y x))))
#s(approx (* (+ (* (/ y (* x x)) -1/2) 1/2) x) #s(hole binary64 (/ (+ (* -1/2 y) (* 1/2 (pow x 2))) x)))
#s(approx (+ (* (/ y (* x x)) -1/2) 1/2) #s(hole binary64 (* -1/2 (/ y (pow x 2)))))
#s(approx (+ (* (/ y (* x x)) -1/2) 1/2) #s(hole binary64 (/ (+ (* -1/2 y) (* 1/2 (pow x 2))) (pow x 2))))
#s(approx (/ y (* x x)) #s(hole binary64 (/ y (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#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) (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 (* (* (+ (* (/ y (* x x)) -1/2) 1/2) x) x) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* (* (+ (* (/ y (* x x)) -1/2) 1/2) x) x) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))))
#s(approx (* (+ (* (/ y (* x x)) -1/2) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (/ y (* x x)) -1/2) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* -1/2 (/ y (pow x 2)))))))
#s(approx (+ (* (/ y (* x x)) -1/2) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (/ y (* x x)) -1/2) 1/2) #s(hole binary64 (+ 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 (* (+ (* (/ y (* x x)) -1/2) 1/2) x) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y (pow x 2))) 1/2)))))
#s(approx (* -1/2 y) #s(hole binary64 (* -1/2 y)))
#s(approx y #s(hole binary64 y))
#s(approx (* (+ (* (/ y (* x x)) -1/2) 1/2) x) #s(hole binary64 (+ (* -1/2 (/ y x)) (* 1/2 x))))
#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 (* (* (+ (* (/ y (* x x)) -1/2) 1/2) x) x) #s(hole binary64 (* y (- (* 1/2 (/ (pow x 2) y)) 1/2))))
#s(approx (* (+ (* (/ y (* x x)) -1/2) 1/2) x) #s(hole binary64 (* y (- (* 1/2 (/ x y)) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (/ y (* x x)) -1/2) 1/2) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow x 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 (* (* (+ (* (/ y (* x x)) -1/2) 1/2) x) x) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y)))))))
#s(approx (* (+ (* (/ y (* x x)) -1/2) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (/ x y)) (* 1/2 (/ 1 x)))))))
#s(approx (+ (* (/ y (* x x)) -1/2) 1/2) #s(hole binary64 (* -1 (* y (- (* 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 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
3.0ms	y	@	-inf	((* 1/2 (- (* x x) y)) (* -1/2 y) -1/2 y (* 1/2 (- (* x x) y)) (* (* (+ (* (/ y (* x x)) -1/2) 1/2) x) x) (* (+ (* (/ y (* x x)) -1/2) 1/2) x) (+ (* (/ y (* x x)) -1/2) 1/2) (/ y (* x x)) (* x x) x 1/2 (* 1/2 (- (* x x) y)) (- (* x x) y) (* (+ (* x x) (neg y)) 1/2) (+ (* x x) (neg y)) (neg y))
2.0ms	y	@	inf	((* 1/2 (- (* x x) y)) (* -1/2 y) -1/2 y (* 1/2 (- (* x x) y)) (* (* (+ (* (/ y (* x x)) -1/2) 1/2) x) x) (* (+ (* (/ y (* x x)) -1/2) 1/2) x) (+ (* (/ y (* x x)) -1/2) 1/2) (/ y (* x x)) (* x x) x 1/2 (* 1/2 (- (* x x) y)) (- (* x x) y) (* (+ (* x x) (neg y)) 1/2) (+ (* x x) (neg y)) (neg y))
2.0ms	x	@	inf	((* 1/2 (- (* x x) y)) (* -1/2 y) -1/2 y (* 1/2 (- (* x x) y)) (* (* (+ (* (/ y (* x x)) -1/2) 1/2) x) x) (* (+ (* (/ y (* x x)) -1/2) 1/2) x) (+ (* (/ y (* x x)) -1/2) 1/2) (/ y (* x x)) (* x x) x 1/2 (* 1/2 (- (* x x) y)) (- (* x x) y) (* (+ (* x x) (neg y)) 1/2) (+ (* x x) (neg y)) (neg y))
2.0ms	y	@	0	((* 1/2 (- (* x x) y)) (* -1/2 y) -1/2 y (* 1/2 (- (* x x) y)) (* (* (+ (* (/ y (* x x)) -1/2) 1/2) x) x) (* (+ (* (/ y (* x x)) -1/2) 1/2) x) (+ (* (/ y (* x x)) -1/2) 1/2) (/ y (* x x)) (* x x) x 1/2 (* 1/2 (- (* x x) y)) (- (* x x) y) (* (+ (* x x) (neg y)) 1/2) (+ (* x x) (neg y)) (neg y))
1.0ms	x	@	0	((* 1/2 (- (* x x) y)) (* -1/2 y) -1/2 y (* 1/2 (- (* x x) y)) (* (* (+ (* (/ y (* x x)) -1/2) 1/2) x) x) (* (+ (* (/ y (* x x)) -1/2) 1/2) x) (+ (* (/ y (* x x)) -1/2) 1/2) (/ y (* x x)) (* x x) x 1/2 (* 1/2 (- (* x x) y)) (- (* x x) y) (* (+ (* x x) (neg y)) 1/2) (+ (* x x) (neg y)) (neg y))

rewrite133.0ms (8.8%)

Memory

5.6MiB live, 102.1MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	957
0	155	920
1	543	904
0	4182	891

Stop Event

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

Counts

69 → 299

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 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) x))
(.f64 (.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) x)
(.f64 (fma.f64 (/.f64 y (.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)
(fma.f64 (/.f64 y (*.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(/.f64 y (*.f64 x x))
(*.f64 x x)
x
#s(literal 1/2 binary64)
(.f64 #s(literal 1/2 binary64) #s(approx (- ( x x) y) (*.f64 x x)))
#s(approx (- (* x x) y) (*.f64 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 (* (* (+ (* (/ y (* x x)) -1/2) 1/2) x) x) #s(hole binary64 (* -1/2 y)))
#s(approx (* (* (+ (* (/ y (* x x)) -1/2) 1/2) x) x) #s(hole binary64 (+ (* -1/2 y) (* 1/2 (pow x 2)))))
#s(approx (* (+ (* (/ y (* x x)) -1/2) 1/2) x) #s(hole binary64 (* -1/2 (/ y x))))
#s(approx (* (+ (* (/ y (* x x)) -1/2) 1/2) x) #s(hole binary64 (/ (+ (* -1/2 y) (* 1/2 (pow x 2))) x)))
#s(approx (+ (* (/ y (* x x)) -1/2) 1/2) #s(hole binary64 (* -1/2 (/ y (pow x 2)))))
#s(approx (+ (* (/ y (* x x)) -1/2) 1/2) #s(hole binary64 (/ (+ (* -1/2 y) (* 1/2 (pow x 2))) (pow x 2))))
#s(approx (/ y (* x x)) #s(hole binary64 (/ y (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#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) (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 (* (* (+ (* (/ y (* x x)) -1/2) 1/2) x) x) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* (* (+ (* (/ y (* x x)) -1/2) 1/2) x) x) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))))
#s(approx (* (+ (* (/ y (* x x)) -1/2) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (/ y (* x x)) -1/2) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* -1/2 (/ y (pow x 2)))))))
#s(approx (+ (* (/ y (* x x)) -1/2) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (/ y (* x x)) -1/2) 1/2) #s(hole binary64 (+ 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 (* (+ (* (/ y (* x x)) -1/2) 1/2) x) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y (pow x 2))) 1/2)))))
#s(approx (* -1/2 y) #s(hole binary64 (* -1/2 y)))
#s(approx y #s(hole binary64 y))
#s(approx (* (+ (* (/ y (* x x)) -1/2) 1/2) x) #s(hole binary64 (+ (* -1/2 (/ y x)) (* 1/2 x))))
#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 (* (* (+ (* (/ y (* x x)) -1/2) 1/2) x) x) #s(hole binary64 (* y (- (* 1/2 (/ (pow x 2) y)) 1/2))))
#s(approx (* (+ (* (/ y (* x x)) -1/2) 1/2) x) #s(hole binary64 (* y (- (* 1/2 (/ x y)) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (/ y (* x x)) -1/2) 1/2) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow x 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 (* (* (+ (* (/ y (* x x)) -1/2) 1/2) x) x) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y)))))))
#s(approx (* (+ (* (/ y (* x x)) -1/2) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (/ x y)) (* 1/2 (/ 1 x)))))))
#s(approx (+ (* (/ y (* x x)) -1/2) 1/2) #s(hole binary64 (* -1 (* y (- (* 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 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
#s(approx (* (+ (* x x) (neg y)) 1/2) (.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 y x) #s(literal 1/2 binary64)) (.f64 x x)))
(.f64 (.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 y x) #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 y x) #s(literal 1/2 binary64)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 y x) #s(literal 1/2 binary64))))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 y x) #s(literal 1/2 binary64))))
(.f64 (.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 y x) #s(literal 1/2 binary64)) x) x)
(.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 y x) #s(literal 1/2 binary64)) (.f64 x x))
(.f64 (.f64 x x) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 y x) #s(literal 1/2 binary64)))
(.f64 x (.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 y x) #s(literal 1/2 binary64)) x))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 x x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 y x) #s(literal 1/2 binary64)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (*.f64 x x)) (fma.f64 (/.f64 (/.f64 y x) x) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 (/.f64 y x) x) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64)) (.f64 x x)) (fma.f64 (*.f64 (/.f64 (/.f64 y x) x) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (/.f64 y x) x) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 (/.f64 y x) x) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64)) (.f64 x x)) (fma.f64 (/.f64 (*.f64 y y) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64) (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 y x) #s(literal 1/2 binary64)))
(/.f64 (.f64 (.f64 x x) (fma.f64 (/.f64 (*.f64 y y) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) (fma.f64 (/.f64 (/.f64 y x) x) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(/.f64 (.f64 (.f64 x x) (fma.f64 (pow.f64 (/.f64 (/.f64 y x) x) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64))) (fma.f64 (*.f64 (/.f64 (/.f64 y x) x) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (/.f64 y x) x) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (.f64 (.f64 x x) (fma.f64 (pow.f64 (/.f64 (/.f64 y x) x) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64))) (fma.f64 (/.f64 (*.f64 y y) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64) (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 (.f64 (/.f64 (/.f64 y x) x) #s(literal -1/2 binary64)) x) x) (.f64 (.f64 (.f64 (/.f64 (/.f64 y x) x) #s(literal -1/2 binary64)) x) x))) (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 (*.f64 (/.f64 (/.f64 y x) x) #s(literal -1/2 binary64)) x) x)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 (.f64 (/.f64 (/.f64 y x) x) #s(literal -1/2 binary64)) x) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 (/.f64 y x) x) #s(literal -1/2 binary64)) x) x) (.f64 (.f64 (.f64 (/.f64 (/.f64 y x) x) #s(literal -1/2 binary64)) x) x)) (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 (/.f64 (/.f64 y x) x) #s(literal -1/2 binary64)) x) x)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 x) (.f64 (.f64 (.f64 (/.f64 (/.f64 y x) x) #s(literal -1/2 binary64)) x) x))
(fma.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (fabs.f64 x) (.f64 (.f64 (.f64 (/.f64 (/.f64 y x) x) #s(literal -1/2 binary64)) x) x))
(fma.f64 (.f64 (.f64 (/.f64 (/.f64 y x) x) #s(literal -1/2 binary64)) (neg.f64 x)) (neg.f64 x) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 (/.f64 (/.f64 y x) x) #s(literal -1/2 binary64)) (fabs.f64 x)) (fabs.f64 x) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 x x) (/.f64 (/.f64 y x) x)) #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 (/.f64 (/.f64 y x) x) #s(literal -1/2 binary64)) x) x (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) x) (/.f64 (/.f64 y x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 (/.f64 (/.f64 y x) x) #s(literal -1/2 binary64))) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 (/.f64 (/.f64 y x) x) #s(literal -1/2 binary64)) x) x))
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(/.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 #s(literal 1/2 binary64) (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) (fabs.f64 x)) (fabs.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 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/2 binary64)) (.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 (fabs.f64 x) (.f64 (fabs.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 (.f64 x #s(literal 1/2 binary64)) x (.f64 #s(literal 1/2 binary64) (neg.f64 y)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 y) #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (neg.f64 y)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 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 (.f64 x 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 x (.f64 x #s(literal 1/2 binary64)) (.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(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 #s(literal 1/2 binary64) (neg.f64 y)))
(fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 (neg.f64 y) #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 (neg.f64 y) #s(literal 1/2 binary64)) (.f64 (*.f64 x x) #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 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(/.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 (* (* (+ (* (/ y (* x x)) -1/2) 1/2) x) x) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (* (* (+ (* (/ y (* x x)) -1/2) 1/2) x) x) (.f64 #s(literal -1/2 binary64) (-.f64 y (.f64 x x))))
#s(approx (* (+ (* (/ y (* x x)) -1/2) 1/2) x) (*.f64 (/.f64 y x) #s(literal -1/2 binary64)))
#s(approx (* (+ (* (/ y (* x x)) -1/2) 1/2) x) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 y (.f64 x x))) x))
#s(approx (+ (* (/ y (* x x)) -1/2) 1/2) (*.f64 (/.f64 (/.f64 y x) x) #s(literal -1/2 binary64)))
#s(approx (+ (* (/ y (* x x)) -1/2) 1/2) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 y (.f64 x x))) x) x))
#s(approx (/ y (* x x)) (/.f64 (/.f64 y x) x))
#s(approx (* x x) (*.f64 x x))
#s(approx 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 #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 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 y x) #s(literal 1/2 binary64)) (.f64 x x)))
#s(approx (* (* (+ (* (/ y (* x x)) -1/2) 1/2) x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* (* (+ (* (/ y (* x x)) -1/2) 1/2) x) x) (.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 y x) #s(literal 1/2 binary64)) (.f64 x x)))
#s(approx (* (+ (* (/ y (* x x)) -1/2) 1/2) x) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (* (+ (* (/ y (* x x)) -1/2) 1/2) x) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 y x) #s(literal 1/2 binary64)) x))
#s(approx (+ (* (/ y (* x x)) -1/2) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (/ y (* x x)) -1/2) 1/2) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 y x) #s(literal 1/2 binary64)))
#s(approx (+ (* x x) (neg y)) (*.f64 x x))
#s(approx (+ (* x x) (neg y)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y 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 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 y x) #s(literal 1/2 binary64)) (.f64 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 (/.f64 y x) x)) x) x))
#s(approx (* (+ (* (/ y (* x x)) -1/2) 1/2) x) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
#s(approx (* -1/2 y) (*.f64 #s(literal -1/2 binary64) y))
#s(approx y y)
#s(approx (* (+ (* (/ y (* x x)) -1/2) 1/2) x) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 y x) x)))
#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 (fma.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) y))
#s(approx (* (* (+ (* (/ y (* x x)) -1/2) 1/2) x) x) (.f64 (fma.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) y))
#s(approx (* (+ (* (/ y (* x x)) -1/2) 1/2) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) y))
#s(approx (+ (* (/ y (* x x)) -1/2) 1/2) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) 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)) 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 (* (* (+ (* (/ y (* x x)) -1/2) 1/2) x) x) (.f64 (fma.f64 (/.f64 (.f64 x x) y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 y)))
#s(approx (* (+ (* (/ y (* x x)) -1/2) 1/2) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) y))
#s(approx (+ (* (/ y (* x x)) -1/2) 1/2) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (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)))

eval54.0ms (3.6%)

Memory: 8.7MiB live, 56.1MiB allocated; 3ms collecting garbage
Compiler: Compiled 6 868 to 1 126 computations (83.6% saved)

prune11.0ms (0.7%)

Memory

-22.4MiB live, 24.3MiB allocated; 3ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	336	1	337
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	338	3	341

Accuracy

100.0%

Counts

341 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(*.f64 (fma.f64 x x (neg.f64 y)) #s(literal 1/2 binary64))
▶	54.3%	#s(approx (* 1/2 (- (* x x) y)) (.f64 (.f64 #s(approx (+ (* (/ y (* x x)) -1/2) 1/2) #s(literal 1/2 binary64)) x) x))
✓	48.3%	#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Status

Accuracy

Program

✓

99.7%

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

▶

54.3%

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

✓

48.3%

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

Compiler

Compiled 41 to 30 computations (26.8% saved)

series5.0ms (0.3%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Counts

6 → 27

Calls

Call 1

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

Calls

6 calls:

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

rewrite205.0ms (13.6%)

Memory

-43.3MiB live, 71.7MiB allocated; 151ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	605
0	93	587
1	382	577
0	3056	540

Stop Event

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

Counts

33 → 39

Calls

Call 1

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

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

eval4.0ms (0.3%)

Memory: 6.3MiB live, 6.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 995 to 137 computations (86.2% saved)

prune5.0ms (0.3%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	39	3	42

Accuracy

100.0%

Counts

42 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(*.f64 (fma.f64 x x (neg.f64 y)) #s(literal 1/2 binary64))
✓	54.3%	#s(approx (* 1/2 (- (* x x) y)) (.f64 (.f64 #s(approx (+ (* (/ y (* x x)) -1/2) 1/2) #s(literal 1/2 binary64)) x) x))
✓	48.3%	#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Status

Accuracy

Program

✓

99.7%

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

✓

54.3%

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

✓

48.3%

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

Compiler

Compiled 120 to 61 computations (49.2% saved)

regimes12.0ms (0.8%)

Memory

21.9MiB live, 21.9MiB allocated; 0ms collecting garbage

Counts

6 → 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 #s(approx (+ (* (/ y (* x x)) -1/2) 1/2) #s(literal 1/2 binary64)) x) x))
(.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))
#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))

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 17 to 17 computations (0% saved)

regimes19.0ms (1.2%)

Memory

-36.5MiB live, 18.4MiB allocated; 19ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

11.0ms	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
2.0ms	(-.f64 (*.f64 x x) y)
2.0ms	y
2.0ms	x
2.0ms	(*.f64 x x)

Results

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

Compiler

Compiled 17 to 17 computations (0% saved)

regimes8.0ms (0.5%)

Memory

17.5MiB live, 17.5MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
91.1%	2	`(*.f64 x x)`
84.1%	2	`(-.f64 (*.f64 x x) y)`
84.1%	2	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
91.1%	2	`x`
67.7%	3	`y`

Compiler

Compiled 17 to 17 computations (0% saved)

regimes5.0ms (0.4%)

Memory

10.3MiB live, 10.3MiB 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	(.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
48.3%	1	`y`
48.3%	1	`(-.f64 (*.f64 x x) y)`
48.3%	1	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
48.3%	1	`(*.f64 x x)`
48.3%	1	`x`

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch5.0ms (0.3%)

Memory

7.9MiB live, 7.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	21285.149744953356	25491.350801392713

Samples

2.0ms

48×

valid

Compiler

Compiled 112 to 89 computations (20.5% saved)

Precisions

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

ival-mult: 1.0ms (102.4% 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)

simplify17.0ms (1.1%)

Memory

-17.3MiB live, 29.1MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	63
1	42	63
2	86	63
3	187	63
4	365	63
5	460	63
6	460	63

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (fma.f64 x x (neg.f64 y)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
(if (<=.f64 x #s(literal 22500 binary64)) #s(approx (* 1/2 (- (* x x) y)) (.f64 #s(literal -1/2 binary64) y)) #s(approx ( 1/2 (- (* x x) y)) (.f64 (.f64 #s(approx (+ (* (/ y (* x x)) -1/2) 1/2) #s(literal 1/2 binary64)) x) x)))
#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Outputs
(*.f64 (fma.f64 x x (neg.f64 y)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
(if (<=.f64 x #s(literal 22500 binary64)) #s(approx (* 1/2 (- (* x x) y)) (.f64 #s(literal -1/2 binary64) y)) #s(approx ( 1/2 (- (* x x) y)) (.f64 (.f64 #s(approx (+ (* (/ y (* x x)) -1/2) 1/2) #s(literal 1/2 binary64)) x) x)))
#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

derivations46.0ms (3%)

Memory

19.3MiB live, 61.4MiB allocated; 9ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 63 to 27 computations (57.1% saved)

preprocess38.0ms (2.5%)

Memory: -18.2MiB live, 30.3MiB allocated; 24ms collecting garbage
Remove: (abs x)
Compiler: Compiled 168 to 90 computations (46.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample747.0ms (49.4%)

explain63.0ms (4.2%)

preprocess14.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

series10.0ms (0.7%)

rewrite83.0ms (5.5%)

eval12.0ms (0.8%)

prune3.0ms (0.2%)

series13.0ms (0.8%)

rewrite133.0ms (8.8%)

eval54.0ms (3.6%)

prune11.0ms (0.7%)

series5.0ms (0.3%)

rewrite205.0ms (13.6%)

eval4.0ms (0.3%)

prune5.0ms (0.3%)

regimes12.0ms (0.8%)

regimes19.0ms (1.2%)

regimes8.0ms (0.5%)

regimes5.0ms (0.4%)

bsearch5.0ms (0.3%)

simplify17.0ms (1.1%)

derivations46.0ms (3%)

preprocess38.0ms (2.5%)

end0.0ms (0%)

Profiling