Metrics for Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, A

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample606.0ms (23.7%)

Memory

-6.2MiB live, 603.4MiB allocated; 132ms collecting garbage

Samples

374.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 180.0ms

ival-mult!: 117.0ms (65% of total)

ival-sub!: 46.0ms (25.6% of total)

ival-add!: 15.0ms (8.3% of total)

adjust: 1.0ms (0.6% of total)

Bogosity

preprocess75.0ms (3%)

Memory

-19.7MiB live, 26.2MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	72
1	187	72
2	1764	72

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Compiler

Compiled 22 to 20 computations (9.1% saved)

series96.0ms (3.8%)

Memory

45.9MiB live, 45.9MiB allocated; 0ms collecting garbage

Counts

10 → 30

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
x
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(*.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 918938533204673/1000000000000000 binary64)

Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (-.f64 y #s(literal 1 binary64)))) (.f64 #s(literal 1/2 binary64) y)))
#s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (- (* x (- y 1)) (* y 1/2)) (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) y)))
#s(approx (* x (- y 1)) (*.f64 x (-.f64 y #s(literal 1 binary64))))
#s(approx x x)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 x (-.f64 (+.f64 y (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))))
#s(approx (- (* x (- y 1)) (* y 1/2)) (.f64 x (-.f64 (+.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 y x))) #s(literal 1 binary64))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 #s(literal 1/2 binary64) y)) x))))))
#s(approx (- (* x (- y 1)) (* y 1/2)) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(literal -1 binary64) x (*.f64 y (-.f64 x #s(literal 1/2 binary64))))))
#s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 #s(literal -1 binary64) x))
#s(approx (- (* x (- y 1)) (* y 1/2)) (fma.f64 #s(literal -1 binary64) x (*.f64 y (-.f64 x #s(literal 1/2 binary64)))))
#s(approx (* x (- y 1)) (fma.f64 #s(literal -1 binary64) x (*.f64 x y)))
#s(approx (- y 1) #s(literal -1 binary64))
#s(approx (- y 1) (-.f64 y #s(literal 1 binary64)))
#s(approx y y)
#s(approx (* y 1/2) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 y (-.f64 (+.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 x y) (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1/2 binary64))))
#s(approx (- (* x (- y 1)) (* y 1/2)) (.f64 y (-.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1/2 binary64))))
#s(approx (* x (- y 1)) (*.f64 x y))
#s(approx (* x (- y 1)) (.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y)))))
#s(approx (- y 1) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) x)))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 #s(literal -1 binary64) x)) y)))))))
#s(approx (- (* x (- y 1)) (* y 1/2)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x (/.f64 x y))))))
#s(approx (* x (- y 1)) (.f64 #s(literal -1 binary64) (.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 x y)))))
#s(approx (- y 1) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))

Calls

6 calls:

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

rewrite241.0ms (9.4%)

Memory

-23.8MiB live, 123.4MiB allocated; 16ms collecting garbage

Counts

10 → 38

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
x
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(*.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 918938533204673/1000000000000000 binary64)

Outputs
(.f64 (/.f64 (.f64 (-.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (.f64 y #s(literal 1/2 binary64))) (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))) (.f64 (-.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (.f64 y #s(literal 1/2 binary64))) (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))) (-.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (.f64 y #s(literal 1/2 binary64))))
(.f64 (-.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (.f64 y #s(literal 1/2 binary64))) (/.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))))
(.f64 (/.f64 (.f64 (-.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (.f64 y #s(literal 1/2 binary64))) (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))) (-.f64 (pow.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 #s(literal 918938533204673/1000000000000000 binary64) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))) (fma.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (.f64 y #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))))))
(.f64 (fma.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) (.f64 #s(literal 918938533204673/1000000000000000 binary64) #s(literal 918938533204673/1000000000000000 binary64))) (/.f64 (-.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (.f64 y #s(literal 1/2 binary64))) (fma.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) (.f64 #s(literal 918938533204673/1000000000000000 binary64) #s(literal 918938533204673/1000000000000000 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 918938533204673/1000000000000000 binary64) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (pow.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) (-.f64 (pow.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)))) (-.f64 (.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))) #s(literal 918938533204673/1000000000000000 binary64))))
(.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x (.f64 y #s(literal 1/2 binary64))) (/.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) (fma.f64 (-.f64 y #s(literal 1 binary64)) x (*.f64 y #s(literal 1/2 binary64)))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) (fma.f64 (-.f64 y #s(literal 1 binary64)) x (.f64 y #s(literal 1/2 binary64)))) (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 y y)) #s(literal 1/2 binary64)) y (pow.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)))) (fma.f64 (.f64 y #s(literal 1/2 binary64)) (-.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 x (-.f64 y #s(literal 1 binary64)))) (.f64 (.f64 (.f64 x x) (-.f64 y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) (fma.f64 (-.f64 y #s(literal 1 binary64)) x (.f64 y #s(literal 1/2 binary64)))) (.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) (fma.f64 (-.f64 y #s(literal 1 binary64)) x (.f64 y #s(literal 1/2 binary64))))) (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 y y) y))) (+.f64 (pow.f64 (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x (.f64 y #s(literal 1/2 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) #s(literal 3 binary64))))) (fma.f64 (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x (.f64 y #s(literal 1/2 binary64))) (.f64 y #s(literal 1/2 binary64))) (-.f64 (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x (.f64 y #s(literal 1/2 binary64))) (.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 x x) (-.f64 y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)))) (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) x (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x (.f64 y #s(literal 1/2 binary64))) (.f64 y #s(literal 1/2 binary64)))) (/.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) (fma.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) x (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x (.f64 y #s(literal 1/2 binary64))) (*.f64 y #s(literal 1/2 binary64))))))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(*.f64 (/.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
x
(*.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))
(*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 #s(literal 1 binary64) y))
y
(*.f64 y #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 #s(literal 1 binary64)))
#s(literal 1 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
(.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) y)
(.f64 #s(literal 1 binary64) (.f64 y #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
#s(literal 918938533204673/1000000000000000 binary64)

eval9.0ms (0.3%)

Memory: 9.3MiB live, 9.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 538 to 333 computations (78.3% saved)

prune5.0ms (0.2%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	56	5	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	5	62

Accuracy

100.0%

Counts

62 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.2%	(+.f64 (-.f64 #s(approx (* x (- y 1)) (.f64 x y)) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
▶	100.0%	(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (fma.f64 #s(literal -1 binary64) x (*.f64 y (-.f64 x #s(literal 1/2 binary64))))) #s(literal 918938533204673/1000000000000000 binary64))
▶	52.4%	(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 #s(literal -1 binary64) x)) #s(literal 918938533204673/1000000000000000 binary64))
▶	52.4%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)))
▶	49.4%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))

Compiler

Compiled 168 to 140 computations (16.7% saved)

series99.0ms (3.9%)

Memory

-40.6MiB live, 65.5MiB allocated; 45ms collecting garbage

Counts

22 → 41

Calls

Call 1

Inputs
(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (fma.f64 #s(literal -1 binary64) x (*.f64 y (-.f64 x #s(literal 1/2 binary64))))) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (- (* x (- y 1)) (* y 1/2)) (fma.f64 #s(literal -1 binary64) x (*.f64 y (-.f64 x #s(literal 1/2 binary64)))))
(fma.f64 #s(literal -1 binary64) x (*.f64 y (-.f64 x #s(literal 1/2 binary64))))
#s(literal -1 binary64)
x
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
y
(-.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 918938533204673/1000000000000000 binary64)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 #s(literal -1 binary64) x)) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(+.f64 (-.f64 #s(approx (* x (- y 1)) (.f64 x y)) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 #s(approx (* x (- y 1)) (.f64 x y)) (.f64 y #s(literal 1/2 binary64)))
#s(approx (* x (- y 1)) (*.f64 x y))
(*.f64 x y)
(*.f64 y #s(literal 1/2 binary64))

Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (-.f64 y #s(literal 1 binary64)))) (.f64 #s(literal 1/2 binary64) y)))
#s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (- (* x (- y 1)) (* y 1/2)) (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) y)))
#s(approx (+ (* -1 x) (* y (- x 1/2))) (fma.f64 #s(literal -1/2 binary64) y (*.f64 x (-.f64 y #s(literal 1 binary64)))))
#s(approx x x)
#s(approx (* y (- x 1/2)) (fma.f64 #s(literal -1/2 binary64) y (*.f64 x y)))
#s(approx (- x 1/2) #s(literal -1/2 binary64))
#s(approx (- x 1/2) (-.f64 x #s(literal 1/2 binary64)))
#s(approx (* -1 x) (*.f64 #s(literal -1 binary64) x))
#s(approx (* x (- y 1)) (*.f64 x (-.f64 y #s(literal 1 binary64))))
#s(approx (* x y) (*.f64 x y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 x (-.f64 (+.f64 y (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))))
#s(approx (- (* x (- y 1)) (* y 1/2)) (.f64 x (-.f64 (+.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 y x))) #s(literal 1 binary64))))
#s(approx (* y (- x 1/2)) (.f64 x (+.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 y x)))))
#s(approx (- x 1/2) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 #s(literal 1/2 binary64) y)) x))))))
#s(approx (- (* x (- y 1)) (* y 1/2)) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))))
#s(approx (+ (* -1 x) (* y (- x 1/2))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))))
#s(approx (+ (* -1 x) (* y (- x 1/2))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) y (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))))
#s(approx (* y (- x 1/2)) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) y (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))))
#s(approx (- x 1/2) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(literal -1 binary64) x (*.f64 y (-.f64 x #s(literal 1/2 binary64))))))
#s(approx (- (* x (- y 1)) (* y 1/2)) (fma.f64 #s(literal -1 binary64) x (*.f64 y (-.f64 x #s(literal 1/2 binary64)))))
#s(approx (* y (- x 1/2)) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))
#s(approx y y)
#s(approx (- 918938533204673/1000000000000000 (* 1/2 y)) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (- 918938533204673/1000000000000000 (* 1/2 y)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (* 1/2 y) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (* x (- y 1)) (fma.f64 #s(literal -1 binary64) x (*.f64 x y)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 y (-.f64 (+.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 x y) (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1/2 binary64))))
#s(approx (- (* x (- y 1)) (* y 1/2)) (.f64 y (-.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1/2 binary64))))
#s(approx (- 918938533204673/1000000000000000 (* 1/2 y)) (.f64 y (-.f64 (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))))
#s(approx (* x (- y 1)) (.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y)))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) x)))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 #s(literal -1 binary64) x)) y)))))))
#s(approx (- (* x (- y 1)) (* y 1/2)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x (/.f64 x y))))))
#s(approx (+ (* -1 x) (* y (- x 1/2))) (.f64 #s(literal -1 binary64) (.f64 y (fma.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1/2 binary64)) (/.f64 x y)))))
#s(approx (- 918938533204673/1000000000000000 (* 1/2 y)) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))))))
#s(approx (* x (- y 1)) (.f64 #s(literal -1 binary64) (.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 x y)))))

Calls

6 calls:

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

rewrite263.0ms (10.3%)

Memory

33.8MiB live, 225.9MiB allocated; 38ms collecting garbage

Counts

22 → 61

Calls

Call 1

Inputs
(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (fma.f64 #s(literal -1 binary64) x (*.f64 y (-.f64 x #s(literal 1/2 binary64))))) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (- (* x (- y 1)) (* y 1/2)) (fma.f64 #s(literal -1 binary64) x (*.f64 y (-.f64 x #s(literal 1/2 binary64)))))
(fma.f64 #s(literal -1 binary64) x (*.f64 y (-.f64 x #s(literal 1/2 binary64))))
#s(literal -1 binary64)
x
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
y
(-.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 918938533204673/1000000000000000 binary64)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 #s(literal -1 binary64) x)) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(+.f64 (-.f64 #s(approx (* x (- y 1)) (.f64 x y)) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 #s(approx (* x (- y 1)) (.f64 x y)) (.f64 y #s(literal 1/2 binary64)))
#s(approx (* x (- y 1)) (*.f64 x y))
(*.f64 x y)
(*.f64 y #s(literal 1/2 binary64))

Outputs
(+.f64 #s(approx (- (* (- y 1) x) (* y 1/2)) (-.f64 (*.f64 y (-.f64 x #s(literal 1/2 binary64))) x)) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (- (* (- y 1) x) (* y 1/2)) (-.f64 (*.f64 y (-.f64 x #s(literal 1/2 binary64))) x))
(.f64 (-.f64 (.f64 y (-.f64 x #s(literal 1/2 binary64))) x) (/.f64 (-.f64 (neg.f64 x) (.f64 y (-.f64 x #s(literal 1/2 binary64)))) (-.f64 (neg.f64 x) (.f64 y (-.f64 x #s(literal 1/2 binary64))))))
(.f64 (/.f64 (.f64 (+.f64 x (.f64 y (-.f64 x #s(literal 1/2 binary64)))) (-.f64 x (.f64 y (-.f64 x #s(literal 1/2 binary64))))) (.f64 (+.f64 x (.f64 y (-.f64 x #s(literal 1/2 binary64)))) (-.f64 x (.f64 y (-.f64 x #s(literal 1/2 binary64)))))) (-.f64 (.f64 y (-.f64 x #s(literal 1/2 binary64))) x))
(.f64 (/.f64 (.f64 (+.f64 x (.f64 y (-.f64 x #s(literal 1/2 binary64)))) (-.f64 x (.f64 y (-.f64 x #s(literal 1/2 binary64))))) (-.f64 (.f64 (.f64 x x) x) (pow.f64 (.f64 y (-.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (fma.f64 (.f64 y (-.f64 x #s(literal 1/2 binary64))) (-.f64 (.f64 y (-.f64 x #s(literal 1/2 binary64))) x) (.f64 x x)))
(.f64 (fma.f64 (.f64 y (-.f64 x #s(literal 1/2 binary64))) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y x) (.f64 x x)) (/.f64 (-.f64 (.f64 y (-.f64 x #s(literal 1/2 binary64))) x) (fma.f64 (.f64 y (-.f64 x #s(literal 1/2 binary64))) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y x) (.f64 x x))))
(.f64 (/.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 y (-.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x) (pow.f64 (.f64 (.f64 y (-.f64 x #s(literal 1/2 binary64))) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y x)) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 y (-.f64 x #s(literal 1/2 binary64))) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y x)) (-.f64 (.f64 (.f64 y (-.f64 x #s(literal 1/2 binary64))) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y x)) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x))))
#s(literal -1 binary64)
x
(*.f64 (neg.f64 #s(literal -1 binary64)) x)
(*.f64 (neg.f64 x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 x))
(*.f64 x (neg.f64 #s(literal -1 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
(.f64 (.f64 (+.f64 x #s(literal 1/2 binary64)) (-.f64 x #s(literal 1/2 binary64))) (/.f64 y (+.f64 x #s(literal 1/2 binary64))))
(.f64 (.f64 y (-.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)
y
(*.f64 y #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 (-.f64 x #s(literal 1/2 binary64)) (+.f64 x #s(literal 1/2 binary64))))
(.f64 (/.f64 (.f64 (+.f64 x #s(literal 1/2 binary64)) (-.f64 x #s(literal 1/2 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (.f64 (.f64 x x) x))) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) x) (.f64 x x)))
(.f64 (/.f64 (.f64 (+.f64 x #s(literal 1/2 binary64)) (-.f64 x #s(literal 1/2 binary64))) (*.f64 (+.f64 x #s(literal 1/2 binary64)) (-.f64 x #s(literal 1/2 binary64)))) (-.f64 x #s(literal 1/2 binary64)))
(.f64 (fma.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (-.f64 x #s(literal 1/2 binary64)) (fma.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (*.f64 x x))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) x (pow.f64 (.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 (.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (-.f64 (.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))))
#s(literal 1/2 binary64)
(neg.f64 (neg.f64 #s(literal 1/2 binary64)))
#s(literal 918938533204673/1000000000000000 binary64)
#s(approx (+ (* (- y 1) x) (- 918938533204673/1000000000000000 (* y 1/2))) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))
#s(approx (+ (* (- y 1) x) (- 918938533204673/1000000000000000 (* y 1/2))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)))
(.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 #s(literal 1/2 binary64) y)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) (.f64 #s(literal 918938533204673/1000000000000000 binary64) #s(literal 918938533204673/1000000000000000 binary64))) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 #s(literal 1/2 binary64) y)) (fma.f64 (.f64 #s(literal 1/2 binary64) y) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) (.f64 #s(literal 918938533204673/1000000000000000 binary64) #s(literal 918938533204673/1000000000000000 binary64)))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 918938533204673/1000000000000000 binary64) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 y y) y))) (fma.f64 (.f64 (.f64 (.f64 #s(literal 918938533204673/1000000000000000 binary64) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (.f64 #s(literal 918938533204673/1000000000000000 binary64) #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 918938533204673/1000000000000000 binary64) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) (.f64 #s(literal 918938533204673/1000000000000000 binary64) #s(literal 918938533204673/1000000000000000 binary64))) (.f64 (.f64 #s(literal 918938533204673/1000000000000000 binary64) #s(literal 918938533204673/1000000000000000 binary64)) (.f64 #s(literal 918938533204673/1000000000000000 binary64) #s(literal 918938533204673/1000000000000000 binary64)))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 #s(literal 1/2 binary64) y)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 y y) y) (.f64 (.f64 #s(literal 918938533204673/1000000000000000 binary64) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) y) (-.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 918938533204673/1000000000000000 binary64)) (.f64 #s(literal 918938533204673/1000000000000000 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 #s(literal 1/2 binary64) y)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 #s(literal 1/2 binary64) y)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) y)
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) y))
(+.f64 #s(approx (- (* (- y 1) x) (* y 1/2)) (neg.f64 x)) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (- (* (- y 1) x) (* y 1/2)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
(+.f64 (-.f64 #s(approx (* (- y 1) x) (.f64 x y)) (.f64 #s(literal 1/2 binary64) y)) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 #s(approx (* (- y 1) x) (.f64 x y)) (.f64 #s(literal 1/2 binary64) y))
#s(approx (* (- y 1) x) (*.f64 x y))
(*.f64 x y)
(*.f64 y x)
(.f64 (.f64 x #s(literal 1 binary64)) y)
(.f64 (.f64 x y) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x y))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) y)
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) y))

eval24.0ms (0.9%)

Memory: -0.7MiB live, 46.3MiB allocated; 1ms collecting garbage
Compiler: Compiled 3 445 to 575 computations (83.3% saved)

prune7.0ms (0.3%)

Memory

-27.2MiB live, 19.0MiB allocated; 3ms collecting garbage

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	131	5	136
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	134	7	141

Accuracy

100.0%

Counts

141 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 #s(approx (- (* (- y 1) x) (* y 1/2)) (-.f64 (*.f64 y (-.f64 x #s(literal 1/2 binary64))) x)) #s(literal 918938533204673/1000000000000000 binary64))
▶	52.4%	(+.f64 #s(approx (- (* (- y 1) x) (* y 1/2)) (neg.f64 x)) #s(literal 918938533204673/1000000000000000 binary64))
✓	52.4%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)))
✓	49.4%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))
▶	26.5%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (- x 1/2) #s(literal -1/2 binary64))))
▶	27.9%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (* 1/2 y)) #s(literal 918938533204673/1000000000000000 binary64)))
▶	49.4%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* y (- x 1/2)) (fma.f64 #s(literal -1/2 binary64) y (*.f64 x y))))

Compiler

Compiled 224 to 177 computations (21% saved)

series96.0ms (3.8%)

Memory

19.1MiB live, 115.6MiB allocated; 8ms collecting garbage

Counts

22 → 38

Calls

Call 1

Inputs
(+.f64 #s(approx (- (* (- y 1) x) (* y 1/2)) (-.f64 (*.f64 y (-.f64 x #s(literal 1/2 binary64))) x)) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (- (* (- y 1) x) (* y 1/2)) (-.f64 (*.f64 y (-.f64 x #s(literal 1/2 binary64))) x))
(-.f64 (*.f64 y (-.f64 x #s(literal 1/2 binary64))) x)
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
y
(-.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
#s(literal 918938533204673/1000000000000000 binary64)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (* 1/2 y)) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (- 918938533204673/1000000000000000 (* 1/2 y)) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (- x 1/2) #s(literal -1/2 binary64))))
(*.f64 y #s(approx (- x 1/2) #s(literal -1/2 binary64)))
#s(approx (- x 1/2) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(+.f64 #s(approx (- (* (- y 1) x) (* y 1/2)) (neg.f64 x)) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (- (* (- y 1) x) (* y 1/2)) (neg.f64 x))
(neg.f64 x)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* y (- x 1/2)) (fma.f64 #s(literal -1/2 binary64) y (*.f64 x y))))
#s(approx (* y (- x 1/2)) (fma.f64 #s(literal -1/2 binary64) y (*.f64 x y)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 x y))
(*.f64 x y)

Outputs
#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)))
#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (-.f64 y #s(literal 1 binary64)))) (.f64 #s(literal 1/2 binary64) y)))
#s(approx (- (* (- y 1) x) (* y 1/2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (- (* (- y 1) x) (* y 1/2)) (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) y)))
#s(approx (- (* y (- x 1/2)) x) (fma.f64 #s(literal -1/2 binary64) y (*.f64 x (-.f64 y #s(literal 1 binary64)))))
#s(approx (* y (- x 1/2)) (fma.f64 #s(literal -1/2 binary64) y (*.f64 x y)))
#s(approx (- x 1/2) #s(literal -1/2 binary64))
#s(approx (- x 1/2) (-.f64 x #s(literal 1/2 binary64)))
#s(approx x x)
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (* x y) (*.f64 x y))
#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 x (-.f64 y #s(literal 1 binary64))))
#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) (.f64 x (-.f64 (+.f64 y (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))))
#s(approx (- (* (- y 1) x) (* y 1/2)) (.f64 x (-.f64 (+.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 y x))) #s(literal 1 binary64))))
#s(approx (* y (- x 1/2)) (.f64 x (+.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 y x)))))
#s(approx (- x 1/2) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 #s(literal 1/2 binary64) y)) x))))))
#s(approx (- (* (- y 1) x) (* y 1/2)) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))))
#s(approx (- (* y (- x 1/2)) x) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))))
#s(approx (- (* y (- x 1/2)) x) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) y (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))))
#s(approx (* y (- x 1/2)) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) y (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))))
#s(approx (- x 1/2) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))
#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(literal -1 binary64) x (*.f64 y (-.f64 x #s(literal 1/2 binary64))))))
#s(approx (- (* (- y 1) x) (* y 1/2)) (fma.f64 #s(literal -1 binary64) x (*.f64 y (-.f64 x #s(literal 1/2 binary64)))))
#s(approx (- (* y (- x 1/2)) x) (-.f64 (*.f64 y (-.f64 x #s(literal 1/2 binary64))) x))
#s(approx (* y (- x 1/2)) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))
#s(approx y y)
#s(approx (- 918938533204673/1000000000000000 (* 1/2 y)) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (- 918938533204673/1000000000000000 (* 1/2 y)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) (.f64 y (-.f64 (+.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 x y) (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1/2 binary64))))
#s(approx (- (* (- y 1) x) (* y 1/2)) (.f64 y (-.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1/2 binary64))))
#s(approx (- 918938533204673/1000000000000000 (* 1/2 y)) (.f64 y (-.f64 (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))))
#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) x)))))
#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 #s(literal -1 binary64) x)) y)))))))
#s(approx (- (* (- y 1) x) (* y 1/2)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x (/.f64 x y))))))
#s(approx (- (* y (- x 1/2)) x) (.f64 #s(literal -1 binary64) (.f64 y (fma.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1/2 binary64)) (/.f64 x y)))))
#s(approx (- 918938533204673/1000000000000000 (* 1/2 y)) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))))))

Calls

6 calls:

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

rewrite321.0ms (12.6%)

Memory

-12.5MiB live, 271.2MiB allocated; 18ms collecting garbage

Counts

22 → 48

Calls

Call 1

Inputs
(+.f64 #s(approx (- (* (- y 1) x) (* y 1/2)) (-.f64 (*.f64 y (-.f64 x #s(literal 1/2 binary64))) x)) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (- (* (- y 1) x) (* y 1/2)) (-.f64 (*.f64 y (-.f64 x #s(literal 1/2 binary64))) x))
(-.f64 (*.f64 y (-.f64 x #s(literal 1/2 binary64))) x)
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
y
(-.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
#s(literal 918938533204673/1000000000000000 binary64)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (* 1/2 y)) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (- 918938533204673/1000000000000000 (* 1/2 y)) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (- x 1/2) #s(literal -1/2 binary64))))
(*.f64 y #s(approx (- x 1/2) #s(literal -1/2 binary64)))
#s(approx (- x 1/2) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(+.f64 #s(approx (- (* (- y 1) x) (* y 1/2)) (neg.f64 x)) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (- (* (- y 1) x) (* y 1/2)) (neg.f64 x))
(neg.f64 x)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* y (- x 1/2)) (fma.f64 #s(literal -1/2 binary64) y (*.f64 x y))))
#s(approx (* y (- x 1/2)) (fma.f64 #s(literal -1/2 binary64) y (*.f64 x y)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 x y))
(*.f64 x y)

Outputs
(+.f64 #s(approx (- (* (- y 1) x) (* y 1/2)) (-.f64 (*.f64 y (-.f64 x #s(literal 1/2 binary64))) x)) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (- (* (- y 1) x) (* y 1/2)) (-.f64 (*.f64 y (-.f64 x #s(literal 1/2 binary64))) x))
(.f64 (/.f64 (.f64 (-.f64 (.f64 y (-.f64 x #s(literal 1/2 binary64))) x) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y x)) (fma.f64 (.f64 x x) x (pow.f64 (.f64 y (-.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (.f64 y (-.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 (*.f64 y y) (-.f64 x #s(literal 1/2 binary64))) (-.f64 x #s(literal 1/2 binary64)))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 y (-.f64 x #s(literal 1/2 binary64))) x) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y x)) (.f64 (-.f64 (.f64 y (-.f64 x #s(literal 1/2 binary64))) x) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y x))) (-.f64 (.f64 y (-.f64 x #s(literal 1/2 binary64))) x))
(.f64 (fma.f64 (.f64 (.f64 y y) (-.f64 x #s(literal 1/2 binary64))) (-.f64 x #s(literal 1/2 binary64)) (.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y x) x)) (/.f64 (-.f64 (.f64 y (-.f64 x #s(literal 1/2 binary64))) x) (fma.f64 (.f64 (.f64 y y) (-.f64 x #s(literal 1/2 binary64))) (-.f64 x #s(literal 1/2 binary64)) (.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y x) x))))
(.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y x) (/.f64 (-.f64 (.f64 y (-.f64 x #s(literal 1/2 binary64))) x) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y x)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y (-.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 x x) x)) (+.f64 (pow.f64 (.f64 y (-.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 3 binary64) #s(literal 3 binary64))) (pow.f64 (.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y x) x) #s(literal 3 binary64)))) (fma.f64 (.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y x) x) (-.f64 (.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y x) x) (.f64 (.f64 (.f64 y y) (-.f64 x #s(literal 1/2 binary64))) (-.f64 x #s(literal 1/2 binary64)))) (pow.f64 (.f64 y (-.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
(.f64 (.f64 (+.f64 x #s(literal 1/2 binary64)) (-.f64 x #s(literal 1/2 binary64))) (/.f64 y (+.f64 x #s(literal 1/2 binary64))))
(.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)
(.f64 (.f64 y (-.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
y
(*.f64 y #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 (-.f64 x #s(literal 1/2 binary64)) (+.f64 x #s(literal 1/2 binary64))))
(.f64 (/.f64 (.f64 (+.f64 x #s(literal 1/2 binary64)) (-.f64 x #s(literal 1/2 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (.f64 (.f64 x x) x))) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) x) (.f64 x x)))
(.f64 (/.f64 (.f64 (+.f64 x #s(literal 1/2 binary64)) (-.f64 x #s(literal 1/2 binary64))) (*.f64 (+.f64 x #s(literal 1/2 binary64)) (-.f64 x #s(literal 1/2 binary64)))) (-.f64 x #s(literal 1/2 binary64)))
(.f64 (fma.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (-.f64 x #s(literal 1/2 binary64)) (fma.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (*.f64 x x))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) x (pow.f64 (.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 (.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (-.f64 (.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))))
x
(neg.f64 (neg.f64 x))
#s(literal 1/2 binary64)
(neg.f64 (neg.f64 #s(literal 1/2 binary64)))
#s(literal 918938533204673/1000000000000000 binary64)
#s(approx (+ (* (- y 1) x) (- 918938533204673/1000000000000000 (* y 1/2))) #s(approx (- 918938533204673/1000000000000000 (* y 1/2)) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (- 918938533204673/1000000000000000 (* y 1/2)) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (+ (* (- y 1) x) (- 918938533204673/1000000000000000 (* y 1/2))) (*.f64 y #s(approx (- x 1/2) #s(literal -1/2 binary64))))
(*.f64 y #s(approx (- x 1/2) #s(literal -1/2 binary64)))
#s(approx (- x 1/2) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(+.f64 #s(approx (- (* (- y 1) x) (* y 1/2)) (neg.f64 x)) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (- (* (- y 1) x) (* y 1/2)) (neg.f64 x))
(neg.f64 x)
#s(approx (+ (* (- y 1) x) (- 918938533204673/1000000000000000 (* y 1/2))) #s(approx (* y (- x 1/2)) (*.f64 (+.f64 x #s(literal -1/2 binary64)) y)))
#s(approx (* y (- x 1/2)) (*.f64 (+.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (+.f64 x #s(literal -1/2 binary64)) y)
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 (+.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) y)
(.f64 (.f64 (+.f64 x #s(literal -1/2 binary64)) y) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal -1/2 binary64) (neg.f64 x)) y)
(*.f64 x y)
(*.f64 y x)
(.f64 (.f64 x #s(literal 1 binary64)) y)
(.f64 (.f64 x y) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x y))

eval10.0ms (0.4%)

Memory: 26.0MiB live, 26.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 283 to 439 computations (80.8% saved)

prune7.0ms (0.3%)

Memory

-34.7MiB live, 11.3MiB allocated; 5ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	0	0
Picked	1	4	5
Done	0	2	2
Total	84	7	91

Accuracy

100.0%

Counts

91 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.4%	(+.f64 #s(approx (- (* (- y 1) x) (* y 1/2)) (neg.f64 x)) #s(literal 918938533204673/1000000000000000 binary64))
▶	50.0%	#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 x (-.f64 y #s(literal 1 binary64))))
✓	52.4%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)))
✓	49.4%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))
✓	26.5%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (- x 1/2) #s(literal -1/2 binary64))))
✓	27.9%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (* 1/2 y)) #s(literal 918938533204673/1000000000000000 binary64)))
✓	49.4%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* y (- x 1/2)) (fma.f64 #s(literal -1/2 binary64) y (*.f64 x y))))

Compiler

Compiled 127 to 102 computations (19.7% saved)

series155.0ms (6.1%)

Memory

-2.7MiB live, 58.8MiB allocated; 148ms collecting garbage

Counts

6 → 22

Calls

Call 1

Inputs
#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
x
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)

Outputs
#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)))
#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (-.f64 y #s(literal 1 binary64)))) (.f64 #s(literal 1/2 binary64) y)))
#s(approx (* x (- y 1)) (*.f64 x (-.f64 y #s(literal 1 binary64))))
#s(approx x x)
#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) (.f64 x (-.f64 (+.f64 y (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))))
#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 #s(literal 1/2 binary64) y)) x))))))
#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(literal -1 binary64) x (*.f64 y (-.f64 x #s(literal 1/2 binary64))))))
#s(approx (* x (- y 1)) (*.f64 #s(literal -1 binary64) x))
#s(approx (* x (- y 1)) (fma.f64 #s(literal -1 binary64) x (*.f64 x y)))
#s(approx (- y 1) #s(literal -1 binary64))
#s(approx (- y 1) (-.f64 y #s(literal 1 binary64)))
#s(approx y y)
#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))
#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) (.f64 y (-.f64 (+.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 x y) (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1/2 binary64))))
#s(approx (* x (- y 1)) (*.f64 x y))
#s(approx (* x (- y 1)) (.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y)))))
#s(approx (- y 1) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) x)))))
#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 #s(literal -1 binary64) x)) y)))))))
#s(approx (* x (- y 1)) (.f64 #s(literal -1 binary64) (.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 x y)))))
#s(approx (- y 1) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))

Calls

6 calls:

Time	Variable	Point
1.0ms	x	inf
1.0ms	x	-inf
0.0ms	y	-inf
0.0ms	y	inf
0.0ms	x	0

rewrite212.0ms (8.3%)

Memory

22.1MiB live, 260.9MiB allocated; 32ms collecting garbage

Counts

6 → 22

Calls

Call 1

Inputs
#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
x
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)

Outputs
#s(approx (- (* (- y 1) x) (- (* y 1/2) 918938533204673/1000000000000000)) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(*.f64 (/.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
x
(*.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))
(*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 #s(literal 1 binary64) y))
y
(*.f64 y #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 #s(literal 1 binary64)))
#s(literal 1 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))

eval11.0ms (0.4%)

Memory: -34.9MiB live, 9.4MiB allocated; 9ms collecting garbage
Compiler: Compiled 909 to 188 computations (79.3% saved)

prune3.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	38	2	40
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	38	9	47

Accuracy

100.0%

Counts

47 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.4%	(+.f64 #s(approx (- (* (- y 1) x) (* y 1/2)) (neg.f64 x)) #s(literal 918938533204673/1000000000000000 binary64))
✓	50.0%	#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 x (-.f64 y #s(literal 1 binary64))))
	26.9%	#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 x #s(approx (- y 1) #s(literal -1 binary64))))
	25.5%	#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* x (- y 1)) (*.f64 x y)))
✓	52.4%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)))
✓	49.4%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))
✓	26.5%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (- x 1/2) #s(literal -1/2 binary64))))
✓	27.9%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (* 1/2 y)) #s(literal 918938533204673/1000000000000000 binary64)))
✓	49.4%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* y (- x 1/2)) (fma.f64 #s(literal -1/2 binary64) y (*.f64 x y))))

Compiler

Compiled 167 to 130 computations (22.2% saved)

regimes108.0ms (4.2%)

Memory

14.5MiB live, 246.7MiB allocated; 37ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

2 → 3

3 → 5

4 → 6

5 → 4

7 → 3

10 → 3

13 → 1

14 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (* 1/2 y)) #s(literal 918938533204673/1000000000000000 binary64)))

Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (* 1/2 y)) #s(literal 918938533204673/1000000000000000 binary64)))

Call 2

Inputs

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (* 1/2 y)) #s(literal 918938533204673/1000000000000000 binary64)))

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (- x 1/2) #s(literal -1/2 binary64))))

Outputs

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (- x 1/2) #s(literal -1/2 binary64))))

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (* 1/2 y)) #s(literal 918938533204673/1000000000000000 binary64)))

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (- x 1/2) #s(literal -1/2 binary64))))

Call 3

Inputs

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (* 1/2 y)) #s(literal 918938533204673/1000000000000000 binary64)))

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (- x 1/2) #s(literal -1/2 binary64))))

#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* x (- y 1)) (*.f64 x y)))

Outputs
#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* x (- y 1)) (*.f64 x y)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (- x 1/2) #s(literal -1/2 binary64))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (* 1/2 y)) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (- x 1/2) #s(literal -1/2 binary64))))
#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* x (- y 1)) (*.f64 x y)))

Call 4

Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (* 1/2 y)) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (- x 1/2) #s(literal -1/2 binary64))))
#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* x (- y 1)) (*.f64 x y)))
#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 x #s(approx (- y 1) #s(literal -1 binary64))))

Outputs
#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* x (- y 1)) (*.f64 x y)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (- x 1/2) #s(literal -1/2 binary64))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (* 1/2 y)) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 x #s(approx (- y 1) #s(literal -1 binary64))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (- x 1/2) #s(literal -1/2 binary64))))
#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* x (- y 1)) (*.f64 x y)))

Call 5

Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (* 1/2 y)) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (- x 1/2) #s(literal -1/2 binary64))))
#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* x (- y 1)) (*.f64 x y)))
#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 x #s(approx (- y 1) #s(literal -1 binary64))))
(+.f64 #s(approx (- (* (- y 1) x) (* y 1/2)) (neg.f64 x)) #s(literal 918938533204673/1000000000000000 binary64))

Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (- x 1/2) #s(literal -1/2 binary64))))
#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* x (- y 1)) (*.f64 x y)))
(+.f64 #s(approx (- (* (- y 1) x) (* y 1/2)) (neg.f64 x)) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (- x 1/2) #s(literal -1/2 binary64))))

Call 6

Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (* 1/2 y)) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (- x 1/2) #s(literal -1/2 binary64))))
#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* x (- y 1)) (*.f64 x y)))
#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 x #s(approx (- y 1) #s(literal -1 binary64))))
(+.f64 #s(approx (- (* (- y 1) x) (* y 1/2)) (neg.f64 x)) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)))

Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))
(+.f64 #s(approx (- (* (- y 1) x) (* y 1/2)) (neg.f64 x)) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))

Outputs

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))

(+.f64 #s(approx (- (* (- y 1) x) (* y 1/2)) (neg.f64 x)) #s(literal 918938533204673/1000000000000000 binary64))

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))

Call 7

Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (* 1/2 y)) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (- x 1/2) #s(literal -1/2 binary64))))
#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* x (- y 1)) (*.f64 x y)))
#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 x #s(approx (- y 1) #s(literal -1 binary64))))
(+.f64 #s(approx (- (* (- y 1) x) (* y 1/2)) (neg.f64 x)) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)))
#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 #s(literal -1 binary64) x)) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* y (- x 1/2)) (fma.f64 #s(literal -1/2 binary64) y (*.f64 x y))))

Outputs

#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 x (-.f64 y #s(literal 1 binary64))))

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)))

#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 x (-.f64 y #s(literal 1 binary64))))

Call 8

Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (* 1/2 y)) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (- x 1/2) #s(literal -1/2 binary64))))
#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* x (- y 1)) (*.f64 x y)))
#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 x #s(approx (- y 1) #s(literal -1 binary64))))
(+.f64 #s(approx (- (* (- y 1) x) (* y 1/2)) (neg.f64 x)) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)))
#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 #s(literal -1 binary64) x)) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* y (- x 1/2)) (fma.f64 #s(literal -1/2 binary64) y (*.f64 x y))))
(+.f64 #s(approx (- (* (- y 1) x) (* y 1/2)) (-.f64 (*.f64 y (-.f64 x #s(literal 1/2 binary64))) x)) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (-.f64 #s(approx (* x (- y 1)) (.f64 x y)) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (fma.f64 #s(literal -1 binary64) x (*.f64 y (-.f64 x #s(literal 1/2 binary64))))) #s(literal 918938533204673/1000000000000000 binary64))

Outputs
(+.f64 #s(approx (- (* (- y 1) x) (* y 1/2)) (-.f64 (*.f64 y (-.f64 x #s(literal 1/2 binary64))) x)) #s(literal 918938533204673/1000000000000000 binary64))

Call 9

Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (* 1/2 y)) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (- x 1/2) #s(literal -1/2 binary64))))
#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* x (- y 1)) (*.f64 x y)))
#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 x #s(approx (- y 1) #s(literal -1 binary64))))
(+.f64 #s(approx (- (* (- y 1) x) (* y 1/2)) (neg.f64 x)) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)))
#s(approx (+ (- (* (- y 1) x) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 #s(literal -1 binary64) x)) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* y (- x 1/2)) (fma.f64 #s(literal -1/2 binary64) y (*.f64 x y))))
(+.f64 #s(approx (- (* (- y 1) x) (* y 1/2)) (-.f64 (*.f64 y (-.f64 x #s(literal 1/2 binary64))) x)) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (-.f64 #s(approx (* x (- y 1)) (.f64 x y)) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (fma.f64 #s(literal -1 binary64) x (*.f64 y (-.f64 x #s(literal 1/2 binary64))))) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Outputs
(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Calls

31 calls:

18.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
8.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
5.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
4.0ms	x
4.0ms	x

Results

Accuracy	Segments	Branch
27.9%	1	`x`
27.9%	1	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
27.9%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
27.9%	1	`y`
51.5%	3	`y`
33.7%	4	`x`
51.3%	3	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
51.3%	3	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
65.8%	5	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
65.8%	5	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
69.6%	6	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
69.6%	6	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
57.3%	6	`y`
61.3%	6	`x`
71.7%	5	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
71.7%	5	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
78.1%	4	`y`
98.5%	3	`y`
78.8%	4	`x`
83.8%	6	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
83.8%	6	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
98.9%	3	`x`
98.5%	3	`y`
100.0%	1	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
100.0%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
100.0%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 422 to 236 computations (44.1% saved)

bsearch53.0ms (2.1%)

Memory

8.9MiB live, 61.3MiB allocated; 5ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
34.0ms	6.994518589101032e-5	2080849.2495453458
15.0ms	-14262.720434194616	-2.024231623111175e-12

Samples

33.0ms

320×

valid

Compiler

Compiled 694 to 635 computations (8.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult!: 22.0ms (87.5% of total)

ival-sub!: 2.0ms (8% of total)

ival-add!: 1.0ms (4% of total)

adjust: 0.0ms (0% of total)

bsearch29.0ms (1.2%)

Memory

-5.6MiB live, 41.5MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.4958974855817202e-8	3573.531024498557
15.0ms	-6035039.395367483	-3.095828172001074e-5

Samples

12.0ms

320×

valid

Compiler

Compiled 634 to 575 computations (9.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult!: 3.0ms (57% of total)

ival-sub!: 2.0ms (38% of total)

ival-add!: 1.0ms (19% of total)

adjust: 0.0ms (0% of total)

bsearch31.0ms (1.2%)

Memory

-7.7MiB live, 39.3MiB allocated; 4ms collecting garbage

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	2.4958974855817202e-8	3573.531024498557
11.0ms	-110598953.58269563	-6035039.395367483
10.0ms	-3.437054643576804e+151	-2.0519795618185864e+146

Samples

13.0ms

352×

valid

Compiler

Compiled 949 to 780 computations (17.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult!: 3.0ms (52.7% of total)

ival-sub!: 2.0ms (35.1% of total)

ival-add!: 1.0ms (17.6% of total)

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	7.240387688693478e+241	6.951061385012064e+242
0.0ms	4.923581567058949e+169	1.594560045935213e+172
0.0ms	0.9189385332046842	14263.639372727821
0.0ms	-1785.8465737160739	0.9189385207251856
0.0ms	-5.979089186454445e+269	-1.0496143325563314e+268

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	7.240387688693478e+241	6.951061385012064e+242
0.0ms	14263.639372727821	3017520.6166222747
0.0ms	-1785.8465737160739	0.9189385207251856
0.0ms	-5.979089186454445e+269	-1.0496143325563314e+268

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch7.0ms (0.3%)

Memory

13.2MiB live, 13.2MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.4958974855817202e-8	3573.531024498557
5.0ms	-6035039.395367483	-3.095828172001074e-5

Samples

2.0ms

64×

valid

Compiler

Compiled 774 to 655 computations (15.4% saved)

Precisions

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

ival-mult!: 1.0ms (99.8% of total)

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

adjust: 0.0ms (0% of total)

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

derivations3.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 657 to 94 computations (85.7% saved)

preprocess79.0ms (3.1%)

Memory: -15.5MiB live, 184.7MiB allocated; 26ms collecting garbage
Compiler: Compiled 668 to 104 computations (84.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample606.0ms (23.7%)

preprocess75.0ms (3%)

series96.0ms (3.8%)

rewrite241.0ms (9.4%)

eval9.0ms (0.3%)

prune5.0ms (0.2%)

series99.0ms (3.9%)

rewrite263.0ms (10.3%)

eval24.0ms (0.9%)

prune7.0ms (0.3%)

series96.0ms (3.8%)

rewrite321.0ms (12.6%)

eval10.0ms (0.4%)

prune7.0ms (0.3%)

series155.0ms (6.1%)

rewrite212.0ms (8.3%)

eval11.0ms (0.4%)

prune3.0ms (0.1%)

regimes108.0ms (4.2%)

bsearch53.0ms (2.1%)

bsearch29.0ms (1.2%)

bsearch31.0ms (1.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch7.0ms (0.3%)

derivations3.0ms (0.1%)

preprocess79.0ms (3.1%)

end0.0ms (0%)

Profiling