Metrics for Diagrams.TwoD.Ellipse:ellipse from diagrams-lib-1.3.0.3

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze2.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample597.0ms (10.9%)

Memory

6.3MiB live, 505.9MiB allocated; 132ms collecting garbage

Samples

338.0ms	8 256×	0	valid
0.0ms	6×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 178.0ms

ival-sqrt: 81.0ms (45.5% of total)

ival-mult!: 73.0ms (41% of total)

ival-sub!: 22.0ms (12.4% of total)

adjust: 2.0ms (1.1% of total)

Bogosity

preprocess33.0ms (0.6%)

Memory

16.4MiB live, 16.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	10
1	47	10
2	151	10
3	1026	10

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Symmetry

(abs x)

Compiler

Compiled 10 to 10 computations (0% saved)

series225.0ms (4.1%)

Memory

-0.7MiB live, 48.7MiB allocated; 49ms collecting garbage

Counts

5 → 17

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x

Outputs
#s(approx (sqrt (- 1 (* x x))) #s(literal 1 binary64))
#s(approx (sqrt (- 1 (* x x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (- 1 (* x x))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (sqrt (- 1 (* x x))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))
#s(approx (- 1 (* x x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (sqrt (- 1 (* x x))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (- 1 (* x x))) (.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
#s(approx (sqrt (- 1 (* x x))) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))
#s(approx (sqrt (- 1 (* x x))) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))
#s(approx (- 1 (* x x)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (* x x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (sqrt (- 1 (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (sqrt (- 1 (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))
#s(approx (sqrt (- 1 (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))
#s(approx (sqrt (- 1 (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((sqrt (- 1 (* x x))) (- 1 (* x x)) 1 (* x x) x)
1.0ms	x	@	-inf	((sqrt (- 1 (* x x))) (- 1 (* x x)) 1 (* x x) x)
1.0ms	x	@	0	((sqrt (- 1 (* x x))) (- 1 (* x x)) 1 (* x x) x)

rewrite1.4s (25.8%)

Memory

-31.4MiB live, 264.9MiB allocated; 233ms collecting garbage

Counts

5 → 161

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x

Outputs
(fabs.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(+.f64 (.f64 (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (cos.f64 (acos.f64 x))) (.f64 (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(+.f64 (.f64 (sin.f64 (asin.f64 x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (.f64 (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (*.f64 (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (sin.f64 (asin.f64 x))))
(cos.f64 (asin.f64 x))
(cos.f64 (fabs.f64 (asin.f64 x)))
(cos.f64 (neg.f64 (asin.f64 x)))
(cos.f64 (asin.f64 (fabs.f64 x)))
(cos.f64 (asin.f64 (neg.f64 (fabs.f64 x))))
(cos.f64 (fabs.f64 (asin.f64 (fabs.f64 x))))
(cos.f64 (fabs.f64 (fabs.f64 (asin.f64 x))))
(cos.f64 (neg.f64 (asin.f64 (fabs.f64 x))))
(cos.f64 (neg.f64 (fabs.f64 (asin.f64 x))))
(fma.f64 (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (cos.f64 (acos.f64 x)) (.f64 (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(fma.f64 (sin.f64 (asin.f64 x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(sin.f64 (acos.f64 x))
(sin.f64 (acos.f64 (neg.f64 x)))
(sin.f64 (acos.f64 (fabs.f64 x)))
(sin.f64 (acos.f64 (neg.f64 (fabs.f64 x))))
(sin.f64 (+.f64 (asin.f64 (fabs.f64 x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (fabs.f64 (asin.f64 x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 (asin.f64 x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(*.f64 (neg.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64)))
(.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64))))
(*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (neg.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64))))
(fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(fabs.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(fabs.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(+.f64 (neg.f64 (*.f64 x x)) (neg.f64 (neg.f64 #s(literal 1 binary64))))
(+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (asin.f64 x)))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (asin.f64 (fabs.f64 x))))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fabs.f64 (asin.f64 x))))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 (asin.f64 x))))))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(-.f64 (neg.f64 (*.f64 x x)) (neg.f64 #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (asin.f64 x)) (sin.f64 (asin.f64 x))))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (acos.f64 x)))))
(-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (neg.f64 (asin.f64 x))) (sin.f64 (neg.f64 (asin.f64 x)))))
(-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (asin.f64 (fabs.f64 x))) (sin.f64 (asin.f64 (fabs.f64 x)))))
(-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (fabs.f64 (asin.f64 x))) (sin.f64 (fabs.f64 (asin.f64 x)))))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (acos.f64 (neg.f64 x))))))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (acos.f64 (fabs.f64 x))))))
(/.f64 (fma.f64 (neg.f64 (*.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (acos.f64 x) (asin.f64 x))) (sin.f64 (+.f64 (acos.f64 x) (asin.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (acos.f64 x) (acos.f64 x))) (cos.f64 (+.f64 (acos.f64 x) (acos.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (asin.f64 x) (asin.f64 x))) (cos.f64 (-.f64 (asin.f64 x) (asin.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (acos.f64 (neg.f64 x)) (asin.f64 x))) (sin.f64 (+.f64 (acos.f64 (neg.f64 x)) (asin.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (acos.f64 (neg.f64 x)) (asin.f64 (fabs.f64 x)))) (sin.f64 (+.f64 (acos.f64 (neg.f64 x)) (asin.f64 (fabs.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (acos.f64 (neg.f64 x)) (fabs.f64 (asin.f64 x)))) (sin.f64 (+.f64 (acos.f64 (neg.f64 x)) (fabs.f64 (asin.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (acos.f64 (neg.f64 x)) (neg.f64 (asin.f64 x)))) (sin.f64 (+.f64 (acos.f64 (neg.f64 x)) (neg.f64 (asin.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (acos.f64 (fabs.f64 x)) (asin.f64 x))) (sin.f64 (+.f64 (acos.f64 (fabs.f64 x)) (asin.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (acos.f64 (fabs.f64 x)) (asin.f64 (fabs.f64 x)))) (sin.f64 (+.f64 (acos.f64 (fabs.f64 x)) (asin.f64 (fabs.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (acos.f64 (fabs.f64 x)) (fabs.f64 (asin.f64 x)))) (sin.f64 (+.f64 (acos.f64 (fabs.f64 x)) (fabs.f64 (asin.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (acos.f64 (fabs.f64 x)) (neg.f64 (asin.f64 x)))) (sin.f64 (+.f64 (acos.f64 (fabs.f64 x)) (neg.f64 (asin.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (acos.f64 x) (asin.f64 (fabs.f64 x)))) (sin.f64 (+.f64 (acos.f64 x) (asin.f64 (fabs.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (acos.f64 x) (fabs.f64 (asin.f64 x)))) (sin.f64 (+.f64 (acos.f64 x) (fabs.f64 (asin.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (acos.f64 x) (neg.f64 (asin.f64 x)))) (sin.f64 (+.f64 (acos.f64 x) (neg.f64 (asin.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (asin.f64 (fabs.f64 x)) (asin.f64 x))) (cos.f64 (-.f64 (asin.f64 (fabs.f64 x)) (asin.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (asin.f64 (fabs.f64 x)) (asin.f64 (fabs.f64 x)))) (cos.f64 (-.f64 (asin.f64 (fabs.f64 x)) (asin.f64 (fabs.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (asin.f64 (fabs.f64 x)) (fabs.f64 (asin.f64 x)))) (cos.f64 (-.f64 (asin.f64 (fabs.f64 x)) (fabs.f64 (asin.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (asin.f64 (fabs.f64 x)) (neg.f64 (asin.f64 x)))) (cos.f64 (-.f64 (asin.f64 (fabs.f64 x)) (neg.f64 (asin.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 (asin.f64 x)) (asin.f64 x))) (cos.f64 (-.f64 (fabs.f64 (asin.f64 x)) (asin.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 (asin.f64 x)) (asin.f64 (fabs.f64 x)))) (cos.f64 (-.f64 (fabs.f64 (asin.f64 x)) (asin.f64 (fabs.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 (asin.f64 x)) (fabs.f64 (asin.f64 x)))) (cos.f64 (-.f64 (fabs.f64 (asin.f64 x)) (fabs.f64 (asin.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 (asin.f64 x)) (neg.f64 (asin.f64 x)))) (cos.f64 (-.f64 (fabs.f64 (asin.f64 x)) (neg.f64 (asin.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (asin.f64 x)) (asin.f64 x))) (cos.f64 (-.f64 (neg.f64 (asin.f64 x)) (asin.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (asin.f64 x)) (asin.f64 (fabs.f64 x)))) (cos.f64 (-.f64 (neg.f64 (asin.f64 x)) (asin.f64 (fabs.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (asin.f64 x)) (fabs.f64 (asin.f64 x)))) (cos.f64 (-.f64 (neg.f64 (asin.f64 x)) (fabs.f64 (asin.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (asin.f64 x)) (neg.f64 (asin.f64 x)))) (cos.f64 (-.f64 (neg.f64 (asin.f64 x)) (neg.f64 (asin.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (asin.f64 x) (asin.f64 (fabs.f64 x)))) (cos.f64 (-.f64 (asin.f64 x) (asin.f64 (fabs.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (asin.f64 x) (fabs.f64 (asin.f64 x)))) (cos.f64 (-.f64 (asin.f64 x) (fabs.f64 (asin.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (asin.f64 x) (neg.f64 (asin.f64 x)))) (cos.f64 (-.f64 (asin.f64 x) (neg.f64 (asin.f64 x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (acos.f64 (neg.f64 x)) (acos.f64 x))) (cos.f64 (+.f64 (acos.f64 (neg.f64 x)) (acos.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (acos.f64 (neg.f64 x)) (acos.f64 (neg.f64 x)))) (cos.f64 (+.f64 (acos.f64 (neg.f64 x)) (acos.f64 (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (acos.f64 (neg.f64 x)) (acos.f64 (fabs.f64 x)))) (cos.f64 (+.f64 (acos.f64 (neg.f64 x)) (acos.f64 (fabs.f64 x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (acos.f64 (fabs.f64 x)) (acos.f64 x))) (cos.f64 (+.f64 (acos.f64 (fabs.f64 x)) (acos.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (acos.f64 (fabs.f64 x)) (acos.f64 (neg.f64 x)))) (cos.f64 (+.f64 (acos.f64 (fabs.f64 x)) (acos.f64 (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (acos.f64 (fabs.f64 x)) (acos.f64 (fabs.f64 x)))) (cos.f64 (+.f64 (acos.f64 (fabs.f64 x)) (acos.f64 (fabs.f64 x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (acos.f64 x) (acos.f64 (neg.f64 x)))) (cos.f64 (+.f64 (acos.f64 x) (acos.f64 (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (acos.f64 x) (acos.f64 (fabs.f64 x)))) (cos.f64 (+.f64 (acos.f64 x) (acos.f64 (fabs.f64 x))))) #s(literal 2 binary64))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(fma.f64 x (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x) (neg.f64 (neg.f64 #s(literal 1 binary64))))
(fma.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x)) (neg.f64 (neg.f64 #s(literal 1 binary64))))
(fma.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) x (neg.f64 (neg.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (neg.f64 (*.f64 x x)))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 x (neg.f64 x) (neg.f64 (neg.f64 #s(literal 1 binary64))))
(fma.f64 (neg.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))) (-.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) (neg.f64 (neg.f64 #s(literal 1 binary64))))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 #s(literal 1 binary64))))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1 binary64))
(fma.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (neg.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))))
(neg.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))
(pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(fabs.f64 #s(literal 1 binary64))
(fabs.f64 (neg.f64 #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 #s(literal 0 binary64)))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(/.f64 (fabs.f64 #s(literal 2 binary64)) (fabs.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 #s(literal 2 binary64)) (neg.f64 #s(literal 2 binary64)))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (exp.f64 (neg.f64 (neg.f64 #s(literal 0 binary64))))) #s(literal 2 binary64))
(cosh.f64 #s(literal 0 binary64))
(cosh.f64 (neg.f64 #s(literal 0 binary64)))
(cosh.f64 (neg.f64 (neg.f64 #s(literal 0 binary64))))
(exp.f64 #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(sqrt.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(*.f64 x x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (fabs.f64 x) (neg.f64 (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 x x))
(fabs.f64 (neg.f64 (*.f64 x x)))
(neg.f64 (neg.f64 (*.f64 x x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
x
(neg.f64 (neg.f64 x))

eval20.0ms (0.4%)

Memory: 15.6MiB live, 15.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 408 to 699 computations (50.4% saved)

prune5.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	171	2	173
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	171	3	174

Accuracy

100.0%

Counts

174 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
▶	99.6%	#s(approx (sqrt (- 1 (* x x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
▶	99.3%	#s(approx (sqrt (- 1 (* x x))) #s(literal 1 binary64))

Status

Accuracy

Program

✓

100.0%

(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

▶

99.6%

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

▶

99.3%

#s(approx (sqrt (- 1 (* x x))) #s(literal 1 binary64))

Compiler

Compiled 24 to 24 computations (0% saved)

series174.0ms (3.2%)

Memory

-7.5MiB live, 38.6MiB allocated; 6ms collecting garbage

Counts

9 → 16

Calls

Call 1

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

Outputs
#s(approx (sqrt (- 1 (* x x))) #s(literal 1 binary64))
#s(approx (sqrt (- 1 (* x x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (- 1 (* x x))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (sqrt (- 1 (* x x))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))
#s(approx (* -1/2 (pow x 2)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (sqrt (- 1 (* x x))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (- 1 (* x x))) (.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
#s(approx (sqrt (- 1 (* x x))) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))
#s(approx (sqrt (- 1 (* x x))) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))
#s(approx (+ 1 (* -1/2 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (sqrt (- 1 (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (sqrt (- 1 (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))
#s(approx (sqrt (- 1 (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))
#s(approx (sqrt (- 1 (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))))

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

inf

((sqrt (- 1 (* x x))) 1 (sqrt (- 1 (* x x))) (+ 1 (* -1/2 (pow x 2))) (* -1/2 (pow x 2)) -1/2 (pow x 2) x 2)

1.0ms

-inf

((sqrt (- 1 (* x x))) 1 (sqrt (- 1 (* x x))) (+ 1 (* -1/2 (pow x 2))) (* -1/2 (pow x 2)) -1/2 (pow x 2) x 2)

1.0ms

((sqrt (- 1 (* x x))) 1 (sqrt (- 1 (* x x))) (+ 1 (* -1/2 (pow x 2))) (* -1/2 (pow x 2)) -1/2 (pow x 2) x 2)

rewrite1.3s (23.2%)

Memory

10.6MiB live, 257.5MiB allocated; 40ms collecting garbage

Counts

9 → 148

Calls

Call 1

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

Outputs
#s(approx (cos (asin x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(fabs.f64 #s(literal 1 binary64))
(fabs.f64 (neg.f64 #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 (fabs.f64 #s(literal 2 binary64)) (fabs.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 #s(literal 2 binary64)) (neg.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64))))
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sinh.f64 (/.f64 #s(literal 0 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 #s(literal 0 binary64) #s(literal 2 binary64))) (sqrt.f64 #s(literal 1 binary64))) #s(literal 1 binary64))
(sqrt.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (cos (asin x)) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (neg.f64 (neg.f64 #s(literal 1 binary64))))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 1 binary64))
(+.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)))))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
(-.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (neg.f64 #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x))))
(/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal -1/2 binary64)) (fabs.f64 x) (neg.f64 (neg.f64 #s(literal 1 binary64))))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal -1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 (fabs.f64 x) (neg.f64 #s(literal -1/2 binary64))) (neg.f64 (fabs.f64 x)) (neg.f64 (neg.f64 #s(literal 1 binary64))))
(fma.f64 (*.f64 (fabs.f64 x) (neg.f64 #s(literal -1/2 binary64))) (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (neg.f64 (*.f64 x #s(literal -1/2 binary64)))) x (neg.f64 (neg.f64 #s(literal 1 binary64))))
(fma.f64 (neg.f64 (neg.f64 (*.f64 x #s(literal -1/2 binary64)))) x #s(literal 1 binary64))
(fma.f64 (neg.f64 (*.f64 x #s(literal -1/2 binary64))) (neg.f64 x) (neg.f64 (neg.f64 #s(literal 1 binary64))))
(fma.f64 (neg.f64 (*.f64 x #s(literal -1/2 binary64))) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 (*.f64 x x)) (neg.f64 #s(literal -1/2 binary64)) (neg.f64 (neg.f64 #s(literal 1 binary64))))
(fma.f64 (neg.f64 (*.f64 x x)) (neg.f64 #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/2 binary64)) (neg.f64 (neg.f64 #s(literal 1 binary64))))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 #s(literal -1/2 binary64)) (neg.f64 (*.f64 x x)) (neg.f64 (neg.f64 #s(literal 1 binary64))))
(fma.f64 (neg.f64 #s(literal -1/2 binary64)) (neg.f64 (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 (*.f64 x #s(literal -1/2 binary64))) (neg.f64 (neg.f64 #s(literal 1 binary64))))
(fma.f64 (neg.f64 x) (neg.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (neg.f64 (neg.f64 #s(literal 1 binary64))))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) x (neg.f64 (neg.f64 #s(literal 1 binary64))))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (neg.f64 (neg.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (neg.f64 (neg.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 x #s(literal -1/2 binary64))))) (neg.f64 x) (neg.f64 (neg.f64 #s(literal 1 binary64))))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 x #s(literal -1/2 binary64))))) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 (*.f64 (fabs.f64 x) (neg.f64 #s(literal -1/2 binary64)))) (fabs.f64 x) (neg.f64 (neg.f64 #s(literal 1 binary64))))
(fma.f64 (neg.f64 (*.f64 (fabs.f64 x) (neg.f64 #s(literal -1/2 binary64)))) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) (neg.f64 (neg.f64 #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal -1/2 binary64)) (neg.f64 (neg.f64 #s(literal 1 binary64))))
(fma.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (neg.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)))))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
(neg.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
(neg.f64 (-.f64 (neg.f64 #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -1/2 binary64)) x)
(.f64 (.f64 x x) #s(literal -1/2 binary64))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 (fabs.f64 x) #s(literal -1/2 binary64)) (fabs.f64 x))
(.f64 (.f64 (fabs.f64 x) (neg.f64 #s(literal -1/2 binary64))) (neg.f64 (fabs.f64 x)))
(.f64 (neg.f64 (neg.f64 (.f64 x #s(literal -1/2 binary64)))) x)
(.f64 (neg.f64 (.f64 x #s(literal -1/2 binary64))) (neg.f64 x))
(.f64 (neg.f64 (.f64 x x)) (neg.f64 #s(literal -1/2 binary64)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal -1/2 binary64)))
(.f64 (neg.f64 #s(literal -1/2 binary64)) (neg.f64 (.f64 x x)))
(.f64 (neg.f64 x) (neg.f64 (.f64 x #s(literal -1/2 binary64))))
(.f64 (neg.f64 (neg.f64 (neg.f64 (.f64 x #s(literal -1/2 binary64))))) (neg.f64 x))
(.f64 (neg.f64 (.f64 (fabs.f64 x) (neg.f64 #s(literal -1/2 binary64)))) (fabs.f64 x))
(.f64 (.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(.f64 (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (fabs.f64 x)) #s(literal -1/2 binary64)))
(neg.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x))))
#s(literal -1/2 binary64)
(neg.f64 (neg.f64 #s(literal -1/2 binary64)))
(*.f64 x x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x))
(*.f64 (fabs.f64 x) (neg.f64 (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 x x))
(fabs.f64 (neg.f64 (*.f64 x x)))
(neg.f64 (neg.f64 (*.f64 x x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
x
(neg.f64 (neg.f64 x))
#s(literal 2 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64))) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1 binary64))) (sqrt.f64 #s(literal 1 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64))))
(.f64 #s(literal 2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64)))))
(+.f64 #s(literal 2 binary64) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(+.f64 (.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(fma.f64 (.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64))) #s(literal 2 binary64) (.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1 binary64))) (sqrt.f64 #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1 binary64))) (sqrt.f64 #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64))) (.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (neg.f64 (neg.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64)))) (.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64)))) (*.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1 binary64)))) #s(literal 0 binary64))
(neg.f64 (-.f64 (neg.f64 #s(literal 1 binary64)) #s(literal 1 binary64)))

eval21.0ms (0.4%)

Memory: -18.2MiB live, 27.9MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 150 to 634 computations (44.9% saved)

prune4.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	175	1	176
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	176	3	179

Accuracy

100.0%

Counts

179 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
▶	99.6%	#s(approx (sqrt (- 1 (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓	99.3%	#s(approx (sqrt (- 1 (* x x))) #s(literal 1 binary64))

Status

Accuracy

Program

✓

100.0%

(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

▶

99.6%

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

✓

99.3%

#s(approx (sqrt (- 1 (* x x))) #s(literal 1 binary64))

Compiler

Compiled 22 to 22 computations (0% saved)

series261.0ms (4.7%)

Memory

22.5MiB live, 22.5MiB allocated; 0ms collecting garbage

Counts

6 → 16

Calls

Call 1

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

Outputs
#s(approx (sqrt (- 1 (* x x))) #s(literal 1 binary64))
#s(approx (sqrt (- 1 (* x x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (- 1 (* x x))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (sqrt (- 1 (* x x))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (sqrt (- 1 (* x x))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (- 1 (* x x))) (.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
#s(approx (sqrt (- 1 (* x x))) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))
#s(approx (sqrt (- 1 (* x x))) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))
#s(approx (+ (* (* x x) -1/2) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (* x x) -1/2) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (sqrt (- 1 (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (sqrt (- 1 (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))
#s(approx (sqrt (- 1 (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))
#s(approx (sqrt (- 1 (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((sqrt (- 1 (* x x))) (+ (* (* x x) -1/2) 1) (* x x) x -1/2 1)
1.0ms	x	@	-inf	((sqrt (- 1 (* x x))) (+ (* (* x x) -1/2) 1) (* x x) x -1/2 1)
0.0ms	x	@	0	((sqrt (- 1 (* x x))) (+ (* (* x x) -1/2) 1) (* x x) x -1/2 1)

rewrite1.4s (25.6%)

Memory

-21.6MiB live, 359.3MiB allocated; 124ms collecting garbage

Counts

6 → 66

Calls

Call 1

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

Outputs
#s(approx (cos (asin x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) x) #s(literal 1 binary64))
(+.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal -1/2 binary64)) x))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (neg.f64 #s(literal -1/2 binary64))) (.f64 x x)))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) x))))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 (.f64 x #s(literal -1/2 binary64)) x)))
(-.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) x) (neg.f64 #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) x)))
(/.f64 (fma.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (*.f64 x #s(literal -1/2 binary64))) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal -1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 x #s(literal -1/2 binary64)) x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (neg.f64 (neg.f64 #s(literal -1/2 binary64))) (.f64 x x)))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (neg.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) x))))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (.f64 x #s(literal -1/2 binary64)) x)))
(neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(neg.f64 (-.f64 (neg.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) x)) #s(literal 1 binary64)))
(*.f64 x x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (fabs.f64 x) (neg.f64 (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 x x))
(fabs.f64 (neg.f64 (*.f64 x x)))
(neg.f64 (neg.f64 (*.f64 x x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
x
(neg.f64 (neg.f64 x))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(fabs.f64 #s(literal 1 binary64))
(fabs.f64 (neg.f64 #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 #s(literal 0 binary64)))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(/.f64 (fabs.f64 #s(literal 2 binary64)) (fabs.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 #s(literal 2 binary64)) (neg.f64 #s(literal 2 binary64)))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (exp.f64 (neg.f64 (neg.f64 #s(literal 0 binary64))))) #s(literal 2 binary64))
(cosh.f64 #s(literal 0 binary64))
(cosh.f64 (neg.f64 #s(literal 0 binary64)))
(cosh.f64 (neg.f64 (neg.f64 #s(literal 0 binary64))))
(exp.f64 #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(neg.f64 (neg.f64 #s(literal 1 binary64)))
(sqrt.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)))

eval13.0ms (0.2%)

Memory: 11.9MiB live, 11.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 501 to 284 computations (43.3% saved)

prune5.0ms (0.1%)

Memory

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

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	76	3	79

Accuracy

100.0%

Counts

79 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	99.6%	#s(approx (sqrt (- 1 (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓	99.3%	#s(approx (sqrt (- 1 (* x x))) #s(literal 1 binary64))

Status

Accuracy

Program

✓

100.0%

(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

✓

99.6%

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

✓

99.3%

#s(approx (sqrt (- 1 (* x x))) #s(literal 1 binary64))

Compiler

Compiled 44 to 40 computations (9.1% saved)

regimes7.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

Outputs
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Calls

4 calls:

2.0ms	x
2.0ms	(*.f64 x x)
1.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
1.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))

Results

Accuracy	Segments	Branch
100.0%	1	`(*.f64 x x)`
100.0%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
100.0%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
100.0%	1	`x`

Compiler

Compiled 12 to 12 computations (0% saved)

regimes11.0ms (0.2%)

Memory

-37.7MiB live, 7.4MiB allocated; 7ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (- 1 (* x x))) #s(literal 1 binary64))

Outputs
#s(approx (sqrt (- 1 (* x x))) #s(literal 1 binary64))

Calls

4 calls:

7.0ms	(*.f64 x x)
1.0ms	x
1.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
1.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))

Results

Accuracy	Segments	Branch
99.3%	1	`(*.f64 x x)`
99.3%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
99.3%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
99.3%	1	`x`

Compiler

Compiled 12 to 12 computations (0% saved)

derivations0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 10 to 10 computations (0% saved)

preprocess14.0ms (0.3%)

Memory: 20.6MiB live, 20.6MiB allocated; 0ms collecting garbage
Remove: (abs x)
Compiler: Compiled 39 to 39 computations (0% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0%)

sample597.0ms (10.9%)

preprocess33.0ms (0.6%)

series225.0ms (4.1%)

rewrite1.4s (25.8%)

eval20.0ms (0.4%)

prune5.0ms (0.1%)

series174.0ms (3.2%)

rewrite1.3s (23.2%)

eval21.0ms (0.4%)

prune4.0ms (0.1%)

series261.0ms (4.7%)

rewrite1.4s (25.6%)

eval13.0ms (0.2%)

prune5.0ms (0.1%)

regimes7.0ms (0.1%)

regimes11.0ms (0.2%)

derivations0.0ms (0%)

preprocess14.0ms (0.3%)

end0.0ms (0%)

Profiling