Metrics for Examples.Basics.ProofTests:f4 from sbv-4.4

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 15 to 11 computations (26.7% saved)

sample777.0ms (30.9%)

Memory

21.7MiB live, 1 783.3MiB allocated; 366ms collecting garbage

Samples

541.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 213.0ms

ival-mult!: 174.0ms (81.7% of total)

ival-add!: 37.0ms (17.4% of total)

adjust: 1.0ms (0.5% of total)

Bogosity

preprocess20.0ms (0.8%)

Memory

8.2MiB live, 53.1MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	84
1	125	82

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.2%	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))

Symmetry

(sort x y)

Compiler

Compiled 26 to 18 computations (30.8% saved)

series152.0ms (6.1%)

Memory

2.6MiB live, 236.4MiB allocated; 57ms collecting garbage

Counts

9 → 19

Calls

Call 1

Inputs
(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))
(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))
(*.f64 x x)
x
(.f64 (.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
y
(*.f64 y y)

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

Calls

6 calls:

Time	Variable	Point
4.0ms	x	0
2.0ms	x	inf
1.0ms	y	0
1.0ms	x	-inf
1.0ms	y	inf

rewrite205.0ms (8.2%)

Memory

-36.9MiB live, 249.6MiB allocated; 37ms collecting garbage

Counts

9 → 38

Calls

Call 1

Inputs
(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))
(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))
(*.f64 x x)
x
(.f64 (.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
y
(*.f64 y y)

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

eval5.0ms (0.2%)

Memory: 16.2MiB live, 16.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 848 to 167 computations (80.3% saved)

prune2.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	45	4	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	4	50

Accuracy

100.0%

Counts

50 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(fma.f64 y y (fma.f64 (.f64 x #s(literal 2 binary64)) y (.f64 x x)))
▶	94.5%	(+.f64 #s(approx (+ (* x x) (* (* x 2) y)) (.f64 x (+.f64 x (.f64 #s(literal 2 binary64) y)))) (*.f64 y y))
▶	56.7%	(+.f64 #s(approx (+ (* x x) (* (* x 2) y)) (.f64 #s(literal 2 binary64) (.f64 x y))) (*.f64 y y))
▶	60.3%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (pow.f64 y #s(literal 2 binary64)))

Compiler

Compiled 68 to 46 computations (32.4% saved)

series205.0ms (8.2%)

Memory

-10.7MiB live, 223.3MiB allocated; 46ms collecting garbage

Counts

19 → 26

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
45.0ms	y	-inf
2.0ms	y	0
2.0ms	x	-inf
1.0ms	y	inf
1.0ms	x	inf

rewrite210.0ms (8.3%)

Memory

26.4MiB live, 253.2MiB allocated; 82ms collecting garbage

Counts

19 → 97

Calls

Call 1

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

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

eval22.0ms (0.9%)

Memory: 12.2MiB live, 57.2MiB allocated; 8ms collecting garbage
Compiler: Compiled 1 913 to 331 computations (82.7% saved)

prune30.0ms (1.2%)

Memory

-34.8MiB live, 16.2MiB allocated; 28ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	92	3	95
Fresh	0	0	0
Picked	4	0	4
Done	0	0	0
Total	96	3	99

Accuracy

100.0%

Counts

99 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.5%	(fma.f64 y y (*.f64 x (fma.f64 y #s(literal 2 binary64) x)))
▶	56.7%	(+.f64 #s(approx (+ (* x x) (* (* x 2) y)) (.f64 x (+.f64 y y))) (.f64 y y))
▶	60.3%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))

Compiler

Compiled 45 to 29 computations (35.6% saved)

series158.0ms (6.3%)

Memory

18.4MiB live, 259.8MiB allocated; 18ms collecting garbage

Counts

12 → 24

Calls

Call 1

Inputs
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
(*.f64 y y)
y
(+.f64 #s(approx (+ (* x x) (* (* x 2) y)) (.f64 x (+.f64 y y))) (.f64 y y))
#s(approx (+ (* x x) (* (* x 2) y)) (*.f64 x (+.f64 y y)))
(*.f64 x (+.f64 y y))
x
(+.f64 y y)
(fma.f64 y y (*.f64 x (fma.f64 y #s(literal 2 binary64) x)))
(*.f64 x (fma.f64 y #s(literal 2 binary64) x))
(fma.f64 y #s(literal 2 binary64) x)
#s(literal 2 binary64)

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

Calls

6 calls:

Time	Variable	Point
4.0ms	x	-inf
2.0ms	y	-inf
2.0ms	y	inf
2.0ms	x	inf
1.0ms	x	0

rewrite239.0ms (9.5%)

Memory

-32.3MiB live, 278.2MiB allocated; 137ms collecting garbage

Counts

12 → 56

Calls

Call 1

Inputs
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
(*.f64 y y)
y
(+.f64 #s(approx (+ (* x x) (* (* x 2) y)) (.f64 x (+.f64 y y))) (.f64 y y))
#s(approx (+ (* x x) (* (* x 2) y)) (*.f64 x (+.f64 y y)))
(*.f64 x (+.f64 y y))
x
(+.f64 y y)
(fma.f64 y y (*.f64 x (fma.f64 y #s(literal 2 binary64) x)))
(*.f64 x (fma.f64 y #s(literal 2 binary64) x))
(fma.f64 y #s(literal 2 binary64) x)
#s(literal 2 binary64)

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

eval16.0ms (0.6%)

Memory: -6.9MiB live, 42.8MiB allocated; 5ms collecting garbage
Compiler: Compiled 1 315 to 247 computations (81.2% saved)

prune4.0ms (0.2%)

Memory

15.1MiB live, 15.1MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	76	4	80

Accuracy

100.0%

Counts

80 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.5%	(fma.f64 y y (*.f64 x (fma.f64 y #s(literal 2 binary64) x)))
▶	56.7%	(fma.f64 y y (.f64 x #s(approx (+ ( y 2) x) (*.f64 #s(literal 2 binary64) y))))
✓	56.7%	(+.f64 #s(approx (+ (* x x) (* (* x 2) y)) (.f64 x (+.f64 y y))) (.f64 y y))
✓	60.3%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))

Compiler

Compiled 59 to 39 computations (33.9% saved)

series145.0ms (5.8%)

Memory

0.2MiB live, 191.3MiB allocated; 8ms collecting garbage

Counts

7 → 24

Calls

Call 1

Inputs
(fma.f64 y y (.f64 x #s(approx (+ ( y 2) x) (*.f64 #s(literal 2 binary64) y))))
y
(.f64 x #s(approx (+ ( y 2) x) (*.f64 #s(literal 2 binary64) y)))
x
#s(approx (+ (* y 2) x) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)

Outputs
#s(approx (+ (* y y) (* x (+ (* y 2) x))) (pow.f64 y #s(literal 2 binary64)))
#s(approx (+ (* y y) (* x (+ (* y 2) x))) (fma.f64 #s(literal 2 binary64) (*.f64 x y) (pow.f64 y #s(literal 2 binary64))))
#s(approx (+ (* y y) (* x (+ (* y 2) x))) (fma.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 2 binary64))))
#s(approx (* x (+ (* y 2) x)) (.f64 #s(literal 2 binary64) (.f64 x y)))
#s(approx (* x (+ (* y 2) x)) (.f64 x (+.f64 x (.f64 #s(literal 2 binary64) y))))
#s(approx x x)
#s(approx (+ (* y 2) x) (*.f64 #s(literal 2 binary64) y))
#s(approx (+ (* y 2) x) (+.f64 x (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (* y y) (* x (+ (* y 2) x))) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (* y y) (* x (+ (* y 2) x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x)))))
#s(approx (+ (* y y) (* x (+ (* y 2) x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* y 2) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x)))))
#s(approx (+ (* y y) (* x (+ (* y 2) x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x)))))
#s(approx (+ (* y 2) x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
#s(approx (+ (* y y) (* x (+ (* y 2) x))) (fma.f64 #s(literal 2 binary64) (*.f64 x y) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* y y) (* x (+ (* y 2) x))) (fma.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 2 binary64))))
#s(approx y y)
#s(approx (+ (* y y) (* x (+ (* y 2) x))) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x y)))))
#s(approx (+ (* y y) (* x (+ (* y 2) x))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (* x (+ (* y 2) x)) (*.f64 y (fma.f64 #s(literal 2 binary64) x (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
#s(approx (+ (* y 2) x) (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y))))
#s(approx (+ (* y y) (* x (+ (* y 2) x))) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)))))
#s(approx (* x (+ (* y 2) x)) (.f64 #s(literal -1 binary64) (.f64 y (fma.f64 #s(literal -2 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))))
#s(approx (+ (* y 2) x) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 2 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	y	0

rewrite179.0ms (7.1%)

Memory

11.7MiB live, 201.2MiB allocated; 15ms collecting garbage

Counts

7 → 10

Calls

Call 1

Inputs
(fma.f64 y y (.f64 x #s(approx (+ ( y 2) x) (*.f64 #s(literal 2 binary64) y))))
y
(.f64 x #s(approx (+ ( y 2) x) (*.f64 #s(literal 2 binary64) y)))
x
#s(approx (+ (* y 2) x) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)

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

eval3.0ms (0.1%)

Memory: 8.2MiB live, 8.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 584 to 127 computations (78.3% saved)

prune2.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	28	1	29
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	29	4	33

Accuracy

100.0%

Counts

33 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.5%	(fma.f64 y y (*.f64 x (fma.f64 y #s(literal 2 binary64) x)))
	56.7%	(fma.f64 y y (.f64 x #s(approx (+ ( y 2) x) (+.f64 y y))))
✓	56.7%	(+.f64 #s(approx (+ (* x x) (* (* x 2) y)) (.f64 x (+.f64 y y))) (.f64 y y))
✓	60.3%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))

Compiler

Compiled 59 to 38 computations (35.6% saved)

regimes24.0ms (1%)

Memory

-32.4MiB live, 60.2MiB allocated; 7ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

5 → 2

10 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))

Outputs
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))

Call 2

Inputs
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
(fma.f64 y y (.f64 x #s(approx (+ ( y 2) x) (+.f64 y y))))
(fma.f64 y y (.f64 x #s(approx (+ ( y 2) x) (*.f64 #s(literal 2 binary64) y))))
(+.f64 #s(approx (+ (* x x) (* (* x 2) y)) (.f64 x (+.f64 y y))) (.f64 y y))
(+.f64 #s(approx (+ (* x x) (* (* x 2) y)) (.f64 #s(literal 2 binary64) (.f64 x y))) (*.f64 y y))

Outputs
(fma.f64 y y (.f64 x #s(approx (+ ( y 2) x) (+.f64 y y))))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))

Call 3

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

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

Calls

8 calls:

5.0ms	y
4.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))
3.0ms	x
3.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))
2.0ms	y

Results

Accuracy	Segments	Branch
60.3%	1	`y`
60.3%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`
60.3%	1	`x`
63.4%	2	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`
63.4%	2	`y`
98.0%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`
98.0%	1	`x`
100.0%	2	`y`

Compiler

Compiled 198 to 82 computations (58.6% saved)

bsearch12.0ms (0.5%)

Memory

31.9MiB live, 31.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	5.092347306625699e+101	1.33115258821718e+108

Samples

6.0ms

144×

valid

Compiler

Compiled 250 to 185 computations (26% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult!: 2.0ms (65.8% of total)

ival-add!: 1.0ms (32.9% of total)

adjust: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 16 to 14 computations (12.5% saved)

derivations1.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 94 to 32 computations (66% saved)

preprocess101.0ms (4%)

Memory: -28.7MiB live, 118.0MiB allocated; 25ms collecting garbage
Compiler: Compiled 295 to 151 computations (48.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample777.0ms (30.9%)

preprocess20.0ms (0.8%)

series152.0ms (6.1%)

rewrite205.0ms (8.2%)

eval5.0ms (0.2%)

prune2.0ms (0.1%)

series205.0ms (8.2%)

rewrite210.0ms (8.3%)

eval22.0ms (0.9%)

prune30.0ms (1.2%)

series158.0ms (6.3%)

rewrite239.0ms (9.5%)

eval16.0ms (0.6%)

prune4.0ms (0.2%)

series145.0ms (5.8%)

rewrite179.0ms (7.1%)

eval3.0ms (0.1%)

prune2.0ms (0.1%)

regimes24.0ms (1%)

bsearch12.0ms (0.5%)

bsearch0.0ms (0%)

derivations1.0ms (0%)

preprocess101.0ms (4%)

end0.0ms (0%)

Profiling