Metrics for Diagrams.TwoD.Arc:arcBetween from diagrams-lib-1.3.0.3

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory

1.7MiB live, 1.7MiB 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
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
75%	74.9%	25%	0.1%	0%	0%	0%	3
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	4
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	5
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	6
98.4%	98.3%	1.6%	0.1%	0%	0%	0%	7
99.2%	99.1%	0.8%	0.1%	0%	0%	0%	8
99.6%	99.5%	0.4%	0.1%	0%	0%	0%	9
99.8%	99.7%	0.2%	0.1%	0%	0%	0%	10
99.9%	99.8%	0.1%	0.1%	0%	0%	0%	11
100%	99.9%	0%	0.1%	0%	0%	0%	12

Compiler

Compiled 21 to 11 computations (47.6% saved)

sample805.0ms (40.2%)

Memory

41.8MiB live, 1 015.5MiB allocated; 227ms collecting garbage

Samples

576.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 263.0ms

ival-mult!: 189.0ms (71.8% of total)

ival-div!: 37.0ms (14.1% of total)

ival-sub!: 19.0ms (7.2% of total)

ival-add!: 16.0ms (6.1% of total)

adjust: 1.0ms (0.4% of total)

Bogosity

preprocess121.0ms (6%)

Memory

-12.7MiB live, 81.8MiB allocated; 58ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	114
1	152	114
2	1250	114

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.0%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Symmetry

(abs x)

(abs y)

(negabs x)

(negabs y)

Compiler

Compiled 38 to 18 computations (52.6% saved)

series180.0ms (9%)

Memory

4.1MiB live, 93.9MiB allocated; 63ms collecting garbage

Counts

9 → 27

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
(*.f64 x x)
x
(.f64 (.f64 y #s(literal 4 binary64)) y)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))

Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64)))
#s(approx (- (* x x) (* (* y 4) y)) (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))))
#s(approx (- (* x x) (* (* y 4) y)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (+ (* x x) (* (* y 4) y)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))
#s(approx (+ (* x x) (* (* y 4) y)) (fma.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 16 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 6 binary64)))))) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (* x x) (* (* y 4) y)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* x x) (* (* y 4) y)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 32 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -128 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (* x x) (* (* y 4) y)) (fma.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* y 4) (*.f64 #s(literal 4 binary64) y))
#s(approx y y)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 y #s(literal 4 binary64))))))))
#s(approx (- (* x x) (* (* y 4) y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 4 binary64))))
#s(approx (+ (* x x) (* (* y 4) y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))

Calls

6 calls:

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

rewrite267.0ms (13.3%)

Memory

17.8MiB live, 178.6MiB allocated; 78ms collecting garbage

Counts

9 → 34

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
(*.f64 x x)
x
(.f64 (.f64 y #s(literal 4 binary64)) y)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))

Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (neg.f64 #s(literal 1 binary64)))
(.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) (-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y)))
(.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (/.f64 (neg.f64 #s(literal 1 binary64)) (-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))))
(.f64 (.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #s(literal 1 binary64)) (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
(.f64 (fma.f64 (.f64 y #s(literal 4 binary64)) y (*.f64 x x)) (neg.f64 #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
(.f64 (neg.f64 #s(literal 1 binary64)) (fma.f64 (.f64 y #s(literal 4 binary64)) y (*.f64 x x)))
(.f64 (/.f64 (fma.f64 (.f64 y #s(literal 4 binary64)) y (*.f64 x x)) #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64)))
(*.f64 x x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (fabs.f64 x) x)
(*.f64 (fabs.f64 x) (neg.f64 x))
(*.f64 (neg.f64 x) x)
x
(neg.f64 (neg.f64 x))
(.f64 (.f64 y #s(literal 4 binary64)) y)
(.f64 (.f64 y y) #s(literal 4 binary64))
(.f64 #s(literal 4 binary64) (.f64 y y))
(.f64 y (.f64 y #s(literal 4 binary64)))
(.f64 (neg.f64 (.f64 y #s(literal 4 binary64))) (neg.f64 y))
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
(*.f64 (neg.f64 #s(literal 4 binary64)) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 #s(literal 4 binary64)))
(*.f64 (neg.f64 (neg.f64 #s(literal 4 binary64))) y)
y
#s(literal 4 binary64)
(.f64 (fma.f64 (.f64 y #s(literal 4 binary64)) y (*.f64 x x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 y #s(literal 4 binary64)) y (*.f64 x x)))
(.f64 (neg.f64 #s(literal 1 binary64)) (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
(.f64 (/.f64 (fma.f64 (.f64 y #s(literal 4 binary64)) y (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (.f64 (/.f64 (fma.f64 (.f64 y #s(literal 4 binary64)) y (.f64 x x)) (fma.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) (fma.f64 (.f64 y #s(literal 4 binary64)) y (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) (fma.f64 (.f64 y #s(literal 4 binary64)) y (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))))

eval22.0ms (1.1%)

Memory: -32.7MiB live, 12.7MiB allocated; 19ms collecting garbage
Compiler: Compiled 1 664 to 271 computations (83.7% saved)

prune2.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	3	56

Accuracy

99.2%

Counts

56 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.0%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
▶	50.3%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
▶	50.0%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Status

Accuracy

Program

✓

48.0%

(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))

▶

50.3%

#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))

▶

50.0%

#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 61 to 31 computations (49.2% saved)

series147.0ms (7.4%)

Memory

-8.5MiB live, 91.4MiB allocated; 30ms collecting garbage

Counts

4 → 14

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 16 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 6 binary64)))))) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 32 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -128 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 y #s(literal 4 binary64))))))))

Calls

6 calls:

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

rewrite227.0ms (11.3%)

Memory

27.5MiB live, 120.2MiB allocated; 10ms collecting garbage

Counts

4 → 8

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
#s(approx (neg 1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (neg 1) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) (fma.f64 (.f64 y #s(literal 4 binary64)) y (.f64 x x)))
(.f64 (fma.f64 (.f64 y #s(literal 4 binary64)) y (.f64 x x)) (/.f64 (neg.f64 #s(literal 1 binary64)) (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))))
(.f64 (.f64 (/.f64 (fma.f64 (.f64 y #s(literal 4 binary64)) y (.f64 x x)) (fma.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) (fma.f64 (.f64 y #s(literal 4 binary64)) y (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))) (neg.f64 #s(literal 1 binary64))) (/.f64 (fma.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) (fma.f64 (.f64 y #s(literal 4 binary64)) y (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))))

eval3.0ms (0.2%)

Memory: 3.8MiB live, 3.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 825 to 141 computations (82.9% saved)

prune2.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	18	0	18
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	18	3	21

Accuracy

99.2%

Counts

21 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.0%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
✓	50.3%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	50.0%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Status

Accuracy

Program

✓

48.0%

(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))

✓

50.3%

#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))

✓

50.0%

#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 61 to 31 computations (49.2% saved)

regimes22.0ms (1.1%)

Memory

-17.3MiB live, 33.9MiB allocated; 5ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

2 → 2

3 → 3

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Call 2

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))

Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Call 3

Inputs

#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))

(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))

Outputs

#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))

(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))

#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Calls

12 calls:

6.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
2.0ms	y
2.0ms	x
1.0ms	(*.f64 x x)
1.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)

Results

Accuracy	Segments	Branch
50.0%	1	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`
50.0%	1	`(*.f64 x x)`
50.0%	1	`x`
50.0%	1	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
50.0%	1	`y`
78.4%	2	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
78.4%	2	`y`
84.1%	3	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
79.4%	3	`(*.f64 x x)`
74.4%	2	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`
79.4%	3	`x`
84.1%	3	`y`

Compiler

Compiled 125 to 69 computations (44.8% saved)

bsearch21.0ms (1%)

Memory

20.4MiB live, 20.4MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.9156343239509987e+84	2.3362487630339078e+87
8.0ms	2.1896571034943813e-73	2.293858355639806e-71

Samples

9.0ms

240×

valid

Compiler

Compiled 622 to 344 computations (44.7% saved)

Precisions

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

ival-mult!: 3.0ms (61.4% of total)

ival-div!: 1.0ms (20.5% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch7.0ms (0.4%)

Memory

-41.8MiB live, 5.4MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
7.0ms	471.77402015934337	3303.514461903396

Samples

4.0ms

64×

valid

Compiler

Compiled 190 to 110 computations (42.1% saved)

Precisions

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

ival-mult!: 2.0ms (72.4% of total)

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

adjust: 0.0ms (0% of total)

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

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

derivations1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 136 to 29 computations (78.7% saved)

preprocess176.0ms (8.8%)

Memory

10.5MiB live, 153.0MiB allocated; 21ms collecting garbage

Remove

(abs x)

(negabs x)

(abs y)

Compiler

Compiled 2 059 to 780 computations (62.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0.1%)

sample805.0ms (40.2%)

preprocess121.0ms (6%)

series180.0ms (9%)

rewrite267.0ms (13.3%)

eval22.0ms (1.1%)

prune2.0ms (0.1%)

series147.0ms (7.4%)

rewrite227.0ms (11.3%)

eval3.0ms (0.2%)

prune2.0ms (0.1%)

regimes22.0ms (1.1%)

bsearch21.0ms (1%)

bsearch7.0ms (0.4%)

derivations1.0ms (0%)

preprocess176.0ms (8.8%)

end0.0ms (0%)

Profiling