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

start0.0ms (0.0%)

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

analyze2.0ms (0.2%)

Memory

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

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	100.0%	0.0%	0.0%	0.0%	0.0%	0
0.0%	0.0%	100.0%	0.0%	0.0%	0.0%	0.0%	1
0.0%	0.0%	100.0%	0.0%	0.0%	0.0%	0.0%	2
0.0%	0.0%	50.0%	0.0%	0.0%	50.0%	0.0%	3
50.0%	25.0%	25.0%	0.0%	0.0%	50.0%	0.0%	4
75.0%	37.5%	12.5%	0.0%	0.0%	50.0%	0.0%	5
87.5%	43.7%	6.2%	0.0%	0.0%	50.0%	0.0%	6
93.8%	46.9%	3.1%	0.0%	0.0%	50.0%	0.0%	7
96.9%	48.4%	1.6%	0.0%	0.0%	50.0%	0.0%	8
98.4%	49.2%	0.8%	0.0%	0.0%	50.0%	0.0%	9
99.2%	49.6%	0.4%	0.0%	0.0%	50.0%	0.0%	10
99.6%	49.8%	0.2%	0.0%	0.0%	50.0%	0.0%	11
99.8%	49.9%	0.1%	0.0%	0.0%	50.0%	0.0%	12

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample625.0ms (58.0%)

Memory

-16.6MiB live, 747.0MiB allocated; 313ms collecting garbage

Samples

459.0ms	8 256×	0	valid
0.0ms	6×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 254.0ms

ival-mult!: 150.0ms (59.0% of total)

ival-sqrt: 83.0ms (32.6% of total)

ival-sub!: 20.0ms (7.9% of total)

adjust: 2.0ms (0.8% of total)

Bogosity

preprocess24.0ms (2.2%)

Memory

38.9MiB live, 38.9MiB 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 12 to 10 computations (16.7% saved)

sample0.0ms (0.0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1

Outputs
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series14.0ms (1.3%)

Memory

-22.6MiB live, 22.7MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	347

Stop Event

1×	iter-limit

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
3.0ms	x	-inf
1.0ms	x	inf
1.0ms	x	0

rewrite157.0ms (14.5%)

Memory

18.2MiB live, 206.3MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
0	8	13
1	46	13
2	166	13
3	983	13
0	4451	13

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

5 → 422

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
(.f64 (sqrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (sqrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(sin.f64 (acos.f64 (sin.f64 (fabs.f64 (asin.f64 x)))))
(sin.f64 (acos.f64 (sin.f64 (asin.f64 (fabs.f64 x)))))
(sin.f64 (acos.f64 (sin.f64 (asin.f64 (neg.f64 x)))))
(sin.f64 (acos.f64 (sin.f64 (asin.f64 x))))
(sin.f64 (acos.f64 (neg.f64 (neg.f64 (fabs.f64 x)))))
(sin.f64 (+.f64 (fabs.f64 (asin.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (asin.f64 (fabs.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (asin.f64 (neg.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (acos.f64 (neg.f64 (fabs.f64 x))))
(sin.f64 (acos.f64 (fabs.f64 x)))
(sin.f64 (acos.f64 (neg.f64 x)))
(sin.f64 (acos.f64 x))
(fma.f64 (sin.f64 (asin.f64 x)) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 (-.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 2 binary64)))
(fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (acos.f64 x)) (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 2 binary64)))
(-.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 (asin.f64 x))))
(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))))))
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(fabs.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(cos.f64 (asin.f64 (sin.f64 (fabs.f64 (asin.f64 x)))))
(cos.f64 (asin.f64 (sin.f64 (asin.f64 (fabs.f64 x)))))
(cos.f64 (asin.f64 (sin.f64 (asin.f64 (neg.f64 x)))))
(cos.f64 (asin.f64 (sin.f64 (asin.f64 x))))
(cos.f64 (asin.f64 (neg.f64 (neg.f64 (fabs.f64 x)))))
(cos.f64 (neg.f64 (fabs.f64 (asin.f64 x))))
(cos.f64 (asin.f64 (neg.f64 (fabs.f64 x))))
(cos.f64 (fabs.f64 (fabs.f64 (asin.f64 x))))
(cos.f64 (fabs.f64 (asin.f64 (fabs.f64 x))))
(cos.f64 (asin.f64 (neg.f64 x)))
(cos.f64 (fabs.f64 (asin.f64 x)))
(cos.f64 (asin.f64 (fabs.f64 x)))
(cos.f64 (asin.f64 x))
(exp.f64 (.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (+.f64 (sin.f64 (-.f64 (asin.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 2 binary64)) (/.f64 (-.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 2 binary64)))
(+.f64 (/.f64 (+.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 2 binary64)) (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 2 binary64)))
(*.f64 (neg.f64 (-.f64 (fabs.f64 x) #s(literal -1 binary64))) (-.f64 (fabs.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 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x))) (*.f64 (neg.f64 x) x))
(*.f64 (-.f64 (fabs.f64 x) #s(literal -1 binary64)) (neg.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64))))
(*.f64 (-.f64 (neg.f64 x) #s(literal -1 binary64)) (neg.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64))))
(*.f64 (-.f64 x #s(literal -1 binary64)) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64))) #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 #s(literal 1 binary64) (/.f64 (.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 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)) #s(literal 1 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (acos.f64 (fabs.f64 x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (acos.f64 (fabs.f64 x)) (.f64 (PI.f64) #s(literal 1/2 binary64))))) (cos.f64 (-.f64 (+.f64 (acos.f64 (fabs.f64 x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (acos.f64 (fabs.f64 x)) (.f64 (PI.f64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (acos.f64 (fabs.f64 x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (acos.f64 (neg.f64 x)) (.f64 (PI.f64) #s(literal 1/2 binary64))))) (cos.f64 (-.f64 (+.f64 (acos.f64 (fabs.f64 x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (acos.f64 (neg.f64 x)) (.f64 (PI.f64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (acos.f64 (fabs.f64 x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (acos.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64))))) (cos.f64 (-.f64 (+.f64 (acos.f64 (fabs.f64 x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (acos.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (acos.f64 (fabs.f64 x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (fabs.f64 (asin.f64 x)) (PI.f64)))) (cos.f64 (-.f64 (+.f64 (acos.f64 (fabs.f64 x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (fabs.f64 (asin.f64 x)) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (acos.f64 (fabs.f64 x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (asin.f64 (fabs.f64 x)) (PI.f64)))) (cos.f64 (-.f64 (+.f64 (acos.f64 (fabs.f64 x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (asin.f64 (fabs.f64 x)) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (acos.f64 (fabs.f64 x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (asin.f64 (neg.f64 x)) (PI.f64)))) (cos.f64 (-.f64 (+.f64 (acos.f64 (fabs.f64 x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (asin.f64 (neg.f64 x)) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (acos.f64 (fabs.f64 x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (asin.f64 x) (PI.f64)))) (cos.f64 (-.f64 (+.f64 (acos.f64 (fabs.f64 x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (asin.f64 x) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (acos.f64 (neg.f64 x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (acos.f64 (fabs.f64 x)) (.f64 (PI.f64) #s(literal 1/2 binary64))))) (cos.f64 (-.f64 (+.f64 (acos.f64 (neg.f64 x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (acos.f64 (fabs.f64 x)) (.f64 (PI.f64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (acos.f64 (neg.f64 x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (acos.f64 (neg.f64 x)) (.f64 (PI.f64) #s(literal 1/2 binary64))))) (cos.f64 (-.f64 (+.f64 (acos.f64 (neg.f64 x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (acos.f64 (neg.f64 x)) (.f64 (PI.f64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (acos.f64 (neg.f64 x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (acos.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64))))) (cos.f64 (-.f64 (+.f64 (acos.f64 (neg.f64 x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (acos.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (acos.f64 (neg.f64 x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (fabs.f64 (asin.f64 x)) (PI.f64)))) (cos.f64 (-.f64 (+.f64 (acos.f64 (neg.f64 x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (fabs.f64 (asin.f64 x)) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (acos.f64 (neg.f64 x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (asin.f64 (fabs.f64 x)) (PI.f64)))) (cos.f64 (-.f64 (+.f64 (acos.f64 (neg.f64 x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (asin.f64 (fabs.f64 x)) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (acos.f64 (neg.f64 x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (asin.f64 (neg.f64 x)) (PI.f64)))) (cos.f64 (-.f64 (+.f64 (acos.f64 (neg.f64 x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (asin.f64 (neg.f64 x)) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (acos.f64 (neg.f64 x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (asin.f64 x) (PI.f64)))) (cos.f64 (-.f64 (+.f64 (acos.f64 (neg.f64 x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (asin.f64 x) (PI.f64))))) #s(literal 2 binary64))
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(/.f64 (+.f64 (cos.f64 (+.f64 (asin.f64 (neg.f64 x)) (fabs.f64 (asin.f64 x)))) (cos.f64 (-.f64 (asin.f64 (neg.f64 x)) (fabs.f64 (asin.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (asin.f64 (neg.f64 x)) (asin.f64 (fabs.f64 x)))) (cos.f64 (-.f64 (asin.f64 (neg.f64 x)) (asin.f64 (fabs.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (asin.f64 (neg.f64 x)) (asin.f64 (neg.f64 x)))) (cos.f64 (-.f64 (asin.f64 (neg.f64 x)) (asin.f64 (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (asin.f64 (neg.f64 x)) (asin.f64 x))) (cos.f64 (-.f64 (asin.f64 (neg.f64 x)) (asin.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) (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) (asin.f64 (neg.f64 x)))) (cos.f64 (-.f64 (asin.f64 x) (asin.f64 (neg.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 (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 (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 x))) (cos.f64 (+.f64 (acos.f64 (fabs.f64 x)) (acos.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 (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 x))) (cos.f64 (+.f64 (acos.f64 (neg.f64 x)) (acos.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))
(/.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 x))) (cos.f64 (+.f64 (acos.f64 x) (acos.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)) (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)) (asin.f64 (neg.f64 x)))) (sin.f64 (+.f64 (acos.f64 (fabs.f64 x)) (asin.f64 (neg.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 (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)) (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)) (asin.f64 (neg.f64 x)))) (sin.f64 (+.f64 (acos.f64 (neg.f64 x)) (asin.f64 (neg.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 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) (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) (asin.f64 (neg.f64 x)))) (sin.f64 (+.f64 (acos.f64 x) (asin.f64 (neg.f64 x))))) #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 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) x))) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) x)) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 x x) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) (.f64 #s(literal 1 binary64) (*.f64 x x)))))
(neg.f64 (fma.f64 x x #s(literal -1 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 (-.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 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) #s(literal 1 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 (-.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 x #s(literal -1 binary64)) (neg.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (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 (fabs.f64 x) (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) 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 x (neg.f64 x) #s(literal 1 binary64))
(-.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(-.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 #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 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 binary64) (*.f64 (sin.f64 (asin.f64 (fabs.f64 x))) (sin.f64 (asin.f64 (fabs.f64 x)))))
(-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (asin.f64 (neg.f64 x))) (sin.f64 (asin.f64 (neg.f64 x)))))
(-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (asin.f64 x)) (sin.f64 (asin.f64 x))))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.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))))))
(fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))
(+.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) (asin.f64 (fabs.f64 x))))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (asin.f64 (neg.f64 x))))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (asin.f64 x)))))
(+.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
#s(literal 1 binary64)
(*.f64 (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.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 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 x) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x

eval88.0ms (8.2%)

Memory: -26.9MiB live, 123.4MiB allocated; 54ms collecting garbage
Compiler: Compiled 9 225 to 2 556 computations (72.3% saved)

prune6.0ms (0.5%)

Memory

14.8MiB live, 14.8MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	433	1	434
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	433	2	435

Accuracy

100.0%

Counts

435 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
▶	98.3%	#s(approx (sqrt (- 1 (* x x))) #s(literal 1 binary64))

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample0.0ms (0.0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1

Outputs
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series4.0ms (0.4%)

Memory

6.7MiB live, 6.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	296

Stop Event

1×	iter-limit

Counts

2 → 12

Calls

Call 1

Inputs
#s(approx (sqrt (- 1 (* x x))) #s(literal 1 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 (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 (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
0.0ms	x	inf
0.0ms	x	0
0.0ms	x	-inf

rewrite123.0ms (11.4%)

Memory

13.9MiB live, 200.9MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
0	6	6
1	44	6
2	164	6
3	981	6
0	4449	6

Stop Event

1×	iter-limit
1×	node-limit
1×	saturated

Counts

2 → 2

Calls

Call 1

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

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

eval1.0ms (0.1%)

Memory: 2.9MiB live, 2.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 288 to 72 computations (75.0% saved)

prune1.0ms (0.1%)

Memory

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

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	11	0	11
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	11	2	13

Accuracy

100.0%

Counts

13 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	98.3%	#s(approx (sqrt (- 1 (* x x))) #s(literal 1 binary64))

Compiler

Compiled 14 to 12 computations (14.3% saved)

regimes12.0ms (1.2%)

Memory

-12.2MiB live, 33.1MiB allocated; 5ms collecting garbage

Counts

1 → 1

2 → 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))

Call 2

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

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

Calls

8 calls:

4.0ms	x
1.0ms	x
1.0ms	(*.f64 x x)
1.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
98.3%	1	`(*.f64 x x)`
98.3%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
98.3%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
98.3%	1	`x`
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 44 to 34 computations (22.7% saved)

derivations1.0ms (0.1%)

Memory

2.7MiB live, 2.7MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 14 to 10 computations (28.6% saved)

preprocess20.0ms (1.8%)

Memory: -20.5MiB live, 33.5MiB allocated; 6ms collecting garbage
Compiler: Compiled 48 to 39 computations (18.8% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze2.0ms (0.2%)

sample625.0ms (58.0%)

preprocess24.0ms (2.2%)

sample0.0ms (0.0%)

series14.0ms (1.3%)

rewrite157.0ms (14.5%)

eval88.0ms (8.2%)

prune6.0ms (0.5%)

sample0.0ms (0.0%)

series4.0ms (0.4%)

rewrite123.0ms (11.4%)

eval1.0ms (0.1%)

prune1.0ms (0.1%)

regimes12.0ms (1.2%)

derivations1.0ms (0.1%)

preprocess20.0ms (1.8%)

end0.0ms (0.0%)

Profiling