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

0.4MiB 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)

sample539.0ms (31.4%)

Memory

38.5MiB live, 804.9MiB allocated; 174ms collecting garbage

Samples

319.0ms	8 255×	0	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-mult!: 83.0ms (77.7% of total)

ival-sub!: 22.0ms (20.6% of total)

adjust: 2.0ms (1.9% of total)

Bogosity

preprocess40.0ms (2.3%)

Memory

-24.5MiB live, 20.1MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	44
1	78	44

Stop Event

1×	iter-limit
1×	node-limit

Alt Table

Click to see full alt table

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

Symmetry

(abs x)

Compiler

Compiled 14 to 12 computations (14.3% saved)

series68.0ms (4%)

Memory

36.7MiB live, 36.7MiB allocated; 0ms collecting garbage

Counts

6 → 15

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

Calls

6 calls:

Time	Variable	Point
1.0ms	x	inf
1.0ms	x	-inf
1.0ms	y	0
1.0ms	y	-inf
1.0ms	x	0

rewrite140.0ms (8.1%)

Memory

-41.5MiB live, 59.8MiB allocated; 74ms collecting garbage

Counts

6 → 19

Calls

Call 1

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

Outputs
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
(.f64 (-.f64 (.f64 x x) y) #s(literal 1/2 binary64))
(.f64 (.f64 (-.f64 (*.f64 x x) y) (fma.f64 x x y)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x y)))
(.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x y)) (-.f64 (.f64 x x) y)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (fma.f64 (fma.f64 x x y) y (.f64 (.f64 x x) (*.f64 x x))))
(.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x y)) (-.f64 (.f64 x x) y)) (.f64 (-.f64 (.f64 x x) y) (fma.f64 x x y))) (-.f64 (*.f64 x x) y))
#s(literal 1/2 binary64)
(.f64 (fma.f64 x x y) (/.f64 (-.f64 (.f64 x x) y) (fma.f64 x x y)))
(.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y)) (+.f64 (pow.f64 (.f64 (fma.f64 x x y) y) #s(literal 3 binary64)) (pow.f64 (.f64 x x) (+.f64 #s(literal 3 binary64) #s(literal 3 binary64))))) (fma.f64 (.f64 (fma.f64 x x y) y) (fma.f64 (fma.f64 x x y) y (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 x x) y) (fma.f64 x x y)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (fma.f64 (fma.f64 x x y) y (.f64 (.f64 x x) (.f64 x x))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 x x) y) (fma.f64 x x y)) (.f64 (-.f64 (.f64 x x) y) (fma.f64 x x y))) (-.f64 (.f64 x x) y))
(.f64 (fma.f64 (fma.f64 x x y) y (.f64 (.f64 x x) (.f64 x x))) (/.f64 (-.f64 (.f64 x x) y) (fma.f64 (fma.f64 x x y) y (.f64 (.f64 x x) (.f64 x x)))))
(*.f64 x x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (fabs.f64 x) x)
(*.f64 (fabs.f64 x) (neg.f64 x))
(*.f64 (neg.f64 x) x)
x
(neg.f64 (neg.f64 x))
y

eval3.0ms (0.2%)

Memory: 4.1MiB live, 4.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 566 to 129 computations (77.2% saved)

prune2.0ms (0.1%)

Memory

2.1MiB live, 2.1MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	27	2	29
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	3	30

Accuracy

100.0%

Counts

30 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

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

▶

67.9%

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

▶

51.4%

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

Compiler

Compiled 39 to 30 computations (23.1% saved)

series76.0ms (4.4%)

Memory

-12.7MiB live, 34.6MiB allocated; 13ms collecting garbage

Counts

13 → 16

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

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

Calls

6 calls:

Time	Variable	Point
3.0ms	y	-inf
2.0ms	y	inf
2.0ms	x	inf
2.0ms	y	0
1.0ms	x	0

rewrite181.0ms (10.5%)

Memory

17.3MiB live, 159.7MiB allocated; 27ms collecting garbage

Counts

13 → 43

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

Outputs
#s(approx (* (- x y) 1/2) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 y #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(neg.f64 (neg.f64 #s(literal -1/2 binary64)))
y
(neg.f64 (neg.f64 y))
#s(approx (* (- x y) 1/2) (*.f64 x (fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64))))
(*.f64 x (fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)))
(.f64 (.f64 x (fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64))) x)
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) x)
(.f64 x (.f64 x (fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64))))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal -1/2 binary64)) x) y (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) x) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) y) x) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
x
(*.f64 x x)
(fabs.f64 x)
(+.f64 (sinh.f64 (log.f64 x)) (cosh.f64 (log.f64 x)))
(+.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x)))
x
(*.f64 x x)
(fabs.f64 x)
(+.f64 (sinh.f64 (log.f64 x)) (cosh.f64 (log.f64 x)))
(+.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x)))
#s(literal 2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(*.f64 (fabs.f64 #s(literal 2 binary64)) (fabs.f64 #s(literal 2 binary64)))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal -1/2 binary64)) x) y (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal -1/2 binary64)) x) y (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) y) x) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(.f64 (neg.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal -1/2 binary64)) x) y (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) y) x) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal -1/2 binary64)) x) y (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) (fma.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal -1/2 binary64)) x) y (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 y x))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) y)
(*.f64 (/.f64 y x) (neg.f64 #s(literal -1/2 binary64)))
(*.f64 (/.f64 y x) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 y x)
(/.f64 (/.f64 y x) x)
(/.f64 (neg.f64 y) x)
(neg.f64 (/.f64 y x))

eval5.0ms (0.3%)

Memory: 11.7MiB live, 11.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 157 to 242 computations (79.1% saved)

prune2.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	49	1	50
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	50	3	53

Accuracy

100.0%

Counts

53 → 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))

▶

67.9%

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

✓

51.4%

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

Compiler

Compiled 39 to 29 computations (25.6% saved)

series93.0ms (5.4%)

Memory

7.9MiB live, 54.1MiB allocated; 4ms collecting garbage

Counts

10 → 16

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
3.0ms	y	-inf
1.0ms	y	inf
1.0ms	x	-inf
1.0ms	x	inf
1.0ms	x	0

rewrite182.0ms (10.6%)

Memory

-12.8MiB live, 128.2MiB allocated; 31ms collecting garbage

Counts

10 → 33

Calls

Call 1

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

Outputs
#s(approx (* (- (* x x) y) 1/2) (.f64 (fma.f64 (/.f64 y (.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))
(.f64 (fma.f64 (/.f64 y (.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 (/.f64 y (*.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 x))
(.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)) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(*.f64 x x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (fabs.f64 x) x)
(*.f64 (fabs.f64 x) (neg.f64 x))
(*.f64 (neg.f64 x) x)
x
(neg.f64 (neg.f64 x))
(.f64 (fma.f64 (/.f64 y (.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (/.f64 y (.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 y (.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 (/.f64 y (.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 y (.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (pow.f64 (/.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 x x)) #s(literal 3 binary64)))) (fma.f64 (/.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 x x)) (fma.f64 (/.f64 y (.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 (/.f64 y (.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 y (.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 (/.f64 y (.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 y (.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (/.f64 y (.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 (/.f64 y (.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 y (.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 (/.f64 y (.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (/.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 x x)) #s(literal 1/2 binary64)))) (-.f64 (/.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 x x)) #s(literal 1/2 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 (/.f64 y (.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 y (.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (pow.f64 (/.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 x x)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (/.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 x x)) (fma.f64 (/.f64 y (.f64 x x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
#s(literal 1/2 binary64)
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 y x))
(*.f64 (/.f64 y x) (/.f64 #s(literal -1/2 binary64) x))
(.f64 #s(literal -1/2 binary64) (/.f64 y (.f64 x x)))
(.f64 (/.f64 y (.f64 x x)) (neg.f64 #s(literal -1/2 binary64)))
(.f64 (/.f64 y (.f64 x x)) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(neg.f64 (neg.f64 #s(literal -1/2 binary64)))
(/.f64 y (*.f64 x x))
(/.f64 (/.f64 y x) (neg.f64 x))
(/.f64 (/.f64 y x) x)
(/.f64 (neg.f64 y) (*.f64 x x))
(/.f64 (/.f64 (neg.f64 y) (fabs.f64 x)) (fabs.f64 x))
y
(neg.f64 (neg.f64 y))

eval5.0ms (0.3%)

Memory: 5.0MiB live, 5.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 144 to 223 computations (80.5% saved)

prune3.0ms (0.2%)

Memory

2.3MiB live, 2.3MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	40	4	44

Accuracy

100.0%

Counts

44 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
▶	68.8%	#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))
▶	50.5%	#s(approx (* 1/2 (- (* x x) y)) (.f64 (.f64 x x) #s(approx (+ 1/2 (* -1/2 (/ y (* x x)))) #s(literal 1/2 binary64))))
✓	51.4%	#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 61 to 44 computations (27.9% saved)

series84.0ms (4.9%)

Memory

-16.1MiB live, 28.7MiB allocated; 27ms collecting garbage

Counts

13 → 24

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
2.0ms	y	-inf
2.0ms	x	-inf
1.0ms	x	inf
1.0ms	y	inf
1.0ms	x	0

rewrite183.0ms (10.6%)

Memory

-0.1MiB live, 91.7MiB allocated; 9ms collecting garbage

Counts

13 → 36

Calls

Call 1

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

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

eval8.0ms (0.4%)

Memory: 6.4MiB live, 6.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 636 to 289 computations (82.3% saved)

prune5.0ms (0.3%)

Memory

5.3MiB live, 5.3MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	57	4	61

Accuracy

100.0%

Counts

61 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
✓	68.8%	#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))
✓	50.5%	#s(approx (* 1/2 (- (* x x) y)) (.f64 (.f64 x x) #s(approx (+ 1/2 (* -1/2 (/ y (* x x)))) #s(literal 1/2 binary64))))
✓	51.4%	#s(approx (* 1/2 (- (* x x) y)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 61 to 44 computations (27.9% saved)

regimes58.0ms (3.4%)

Memory

-14.8MiB live, 37.5MiB allocated; 13ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

2 → 2

6 → 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))

Call 2

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

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

Call 3

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

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

Calls

15 calls:

17.0ms	x
5.0ms	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))
5.0ms	y
3.0ms	(-.f64 (*.f64 x x) y)
3.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
51.4%	1	`y`
51.4%	1	`(-.f64 (*.f64 x x) y)`
51.4%	1	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
51.4%	1	`(*.f64 x x)`
51.4%	1	`x`
88.6%	2	`(*.f64 x x)`
85.0%	4	`(-.f64 (*.f64 x x) y)`
85.0%	4	`(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) y))`
88.6%	2	`x`
67.3%	3	`y`
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 154 to 87 computations (43.5% saved)

bsearch11.0ms (0.7%)

Memory

5.3MiB live, 5.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	6.994518589101032e-5	14262.720434194616

Samples

5.0ms

144×

valid

Compiler

Compiled 316 to 245 computations (22.5% saved)

Precisions

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

ival-mult!: 1.0ms (55.1% of total)

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

adjust: 0.0ms (0% of total)

derivations1.0ms (0.1%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 56 to 23 computations (58.9% saved)

preprocess27.0ms (1.6%)

Memory: 25.3MiB live, 25.3MiB allocated; 0ms collecting garbage
Remove: (abs x)
Compiler: Compiled 175 to 101 computations (42.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample539.0ms (31.4%)

preprocess40.0ms (2.3%)

series68.0ms (4%)

rewrite140.0ms (8.1%)

eval3.0ms (0.2%)

prune2.0ms (0.1%)

series76.0ms (4.4%)

rewrite181.0ms (10.5%)

eval5.0ms (0.3%)

prune2.0ms (0.1%)

series93.0ms (5.4%)

rewrite182.0ms (10.6%)

eval5.0ms (0.3%)

prune3.0ms (0.2%)

series84.0ms (4.9%)

rewrite183.0ms (10.6%)

eval8.0ms (0.4%)

prune5.0ms (0.3%)

regimes58.0ms (3.4%)

bsearch11.0ms (0.7%)

derivations1.0ms (0.1%)

preprocess27.0ms (1.6%)

end0.0ms (0%)

Profiling