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 (0.1%)

Memory

3.6MiB live, 3.6MiB 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)

sample591.0ms (20.4%)

Memory

-13.5MiB live, 703.6MiB allocated; 152ms collecting garbage

Samples

416.0ms	8 256×	0	valid
0.0ms	7×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 206.0ms

ival-sqrt: 103.0ms (50% of total)

ival-mult!: 80.0ms (38.8% of total)

ival-sub!: 22.0ms (10.7% of total)

adjust: 1.0ms (0.5% of total)

Bogosity

preprocess39.0ms (1.3%)

Memory

0.4MiB live, 51.1MiB allocated; 5ms 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)

series86.0ms (3%)

Memory

-19.0MiB live, 74.9MiB allocated; 14ms 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
1.0ms	x	inf
1.0ms	x	-inf
1.0ms	x	0

rewrite125.0ms (4.3%)

Memory

7.1MiB live, 104.3MiB allocated; 8ms 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
(fabs.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(cos.f64 (asin.f64 x))
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(sin.f64 (acos.f64 x))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))
#s(literal 1 binary64)
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(*.f64 x x)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(pow.f64 x #s(literal 2 binary64))
x

eval3.0ms (0.1%)

Memory: 4.4MiB live, 4.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 437 to 126 computations (71.2% saved)

prune2.0ms (0.1%)

Memory

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

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	26	3	29
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	4	30

Accuracy

100.0%

Counts

30 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
▶	100.0%	(sin.f64 (acos.f64 x))
▶	99.3%	#s(approx (sqrt (- 1 (* x x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
▶	98.8%	#s(approx (sqrt (- 1 (* x x))) #s(literal 1 binary64))

Compiler

Compiled 31 to 27 computations (12.9% saved)

series89.0ms (3.1%)

Memory

-15.2MiB live, 79.0MiB allocated; 9ms collecting garbage

Counts

11 → 18

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)
(sin.f64 (acos.f64 x))
(acos.f64 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 (* -1/2 (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 (sin (acos x)) (sin.f64 (acos.f64 x)))
#s(approx (acos x) (acos.f64 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
2.0ms	x	-inf
1.0ms	x	inf
1.0ms	x	0

rewrite175.0ms (6.1%)

Memory

0.5MiB live, 104.7MiB allocated; 127ms collecting garbage

Counts

11 → 28

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)
(sin.f64 (acos.f64 x))
(acos.f64 x)

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

eval4.0ms (0.1%)

Memory: 7.3MiB live, 7.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 632 to 158 computations (75% saved)

prune2.0ms (0.1%)

Memory

3.7MiB live, 3.7MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	39	4	43

Accuracy

100.0%

Counts

43 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	100.0%	(sin.f64 (acos.f64 x))
▶	99.3%	#s(approx (sqrt (- 1 (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓	98.8%	#s(approx (sqrt (- 1 (* x x))) #s(literal 1 binary64))

Compiler

Compiled 30 to 25 computations (16.7% saved)

series119.0ms (4.1%)

Memory

13.5MiB live, 94.9MiB allocated; 65ms 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
1.0ms	x	inf
1.0ms	x	-inf
0.0ms	x	0

rewrite1.5s (53.3%)

Memory

12.9MiB live, 774.4MiB allocated; 338ms collecting garbage

Counts

6 → 203

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 (fma.f64 (.f64 x x) #s(literal -1 binary64) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 2 binary64) (.f64 x x)))
(.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -1 binary64) #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64))
(.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -1 binary64) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 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 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal -1/2 binary64)) x))
(+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(+.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x #s(literal 1/2 binary64)) x)))
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x #s(literal -1/2 binary64)) x)))
(-.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 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 (.f64 x #s(literal 1/2 binary64)) x)))
(-.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) x) #s(literal 0 binary64)))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x #s(literal -1/2 binary64)) x)))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) x) #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (-.f64 (.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 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (*.f64 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) #s(literal 1 binary64))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (*.f64 x x)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 x 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 #s(literal 1 binary64) #s(literal 1 binary64) (.f64 (.f64 x #s(literal -1/2 binary64)) x))
(fma.f64 #s(literal 0 binary64) #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal -1/2 binary64) (.f64 (.f64 x #s(literal -1/2 binary64)) x))
(fma.f64 #s(literal 0 binary64) #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) #s(literal 1/2 binary64) (.f64 (.f64 x #s(literal -1/2 binary64)) x))
(fma.f64 #s(literal 0 binary64) #s(literal 4 binary64) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) (.f64 (.f64 x #s(literal -1/2 binary64)) x))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) #s(literal -2 binary64) (.f64 (.f64 x #s(literal -1/2 binary64)) x))
(fma.f64 #s(literal 0 binary64) #s(literal -2 binary64) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (.f64 (.f64 x #s(literal -1/2 binary64)) x))
(fma.f64 #s(literal 1/2 binary64) #s(literal 2 binary64) (.f64 (.f64 x #s(literal -1/2 binary64)) x))
(fma.f64 #s(literal 0 binary64) #s(literal 2 binary64) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (PI.f64) #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) #s(literal 1/4 binary64) (.f64 (.f64 x #s(literal -1/2 binary64)) x))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (PI.f64)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x #s(literal 1/2 binary64)) x)))
(fma.f64 #s(literal 1/2 binary64) #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x #s(literal -1/2 binary64)) x)))
(fma.f64 #s(literal 1/4 binary64) #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x #s(literal 1/2 binary64)) x)))
(fma.f64 #s(literal 1/4 binary64) #s(literal 2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x #s(literal -1/2 binary64)) x)))
(fma.f64 #s(literal 2 binary64) #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x #s(literal 1/2 binary64)) x)))
(fma.f64 #s(literal 2 binary64) #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x #s(literal -1/2 binary64)) x)))
(fma.f64 #s(literal 1 binary64) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x #s(literal 1/2 binary64)) x)))
(fma.f64 #s(literal 1 binary64) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x #s(literal -1/2 binary64)) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x #s(literal 1/2 binary64)) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x #s(literal -1/2 binary64)) x)))
(neg.f64 (fma.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 (sin.f64 (fabs.f64 (asin.f64 x))) (sin.f64 (fabs.f64 (asin.f64 x))))
(*.f64 (neg.f64 (sin.f64 (fabs.f64 (asin.f64 x)))) (neg.f64 (sin.f64 (fabs.f64 (asin.f64 x)))))
(*.f64 (fabs.f64 (sin.f64 (fabs.f64 (asin.f64 x)))) (fabs.f64 (sin.f64 (fabs.f64 (asin.f64 x)))))
(fabs.f64 (*.f64 x x))
(fabs.f64 (*.f64 x (fabs.f64 x)))
(fabs.f64 (*.f64 (fabs.f64 x) x))
(fabs.f64 (*.f64 (fabs.f64 x) (neg.f64 x)))
(fabs.f64 (*.f64 (neg.f64 x) (fabs.f64 x)))
(fabs.f64 (neg.f64 (*.f64 x x)))
(fabs.f64 (*.f64 x (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) x))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)))
(fabs.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))))
(-.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 x x)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 x x))) #s(literal 2 binary64))
(neg.f64 (neg.f64 (*.f64 x x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (sin.f64 (fabs.f64 (asin.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
x
(+.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (*.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 (sin.f64 #s(literal 0 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x x))) x))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(-.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(-.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 (.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x x))) x) (.f64 (sin.f64 #s(literal 0 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(cos.f64 (acos.f64 x))
(cos.f64 (fabs.f64 (acos.f64 x)))
(cos.f64 (neg.f64 (acos.f64 x)))
(fma.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 #s(literal 1 binary64) x))
(fma.f64 (sin.f64 #s(literal 0 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(fma.f64 #s(literal 1 binary64) x (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))))
(neg.f64 (neg.f64 x))
(sin.f64 (asin.f64 x))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 x)))
#s(literal -1/2 binary64)
(-.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
(/.f64 #s(literal -2 binary64) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) #s(literal 2 binary64))
(neg.f64 #s(literal 1/2 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) #s(literal -1/2 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal -1 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) #s(literal 8 binary64)) #s(literal 4 binary64))
(fabs.f64 #s(literal 1 binary64))
(fabs.f64 #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(-.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(-.f64 #s(literal 0 binary64) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(-.f64 (.f64 (cosh.f64 #s(literal 1 binary64)) (cosh.f64 #s(literal 1 binary64))) (.f64 (sinh.f64 #s(literal 1 binary64)) (sinh.f64 #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 4 binary64) #s(literal 4 binary64))
(/.f64 #s(literal -2 binary64) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 8 binary64))
(/.f64 #s(literal -4 binary64) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 8 binary64))
(/.f64 (*.f64 #s(literal 8 binary64) #s(literal 1/2 binary64)) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal -4 binary64) #s(literal 0 binary64)) #s(literal -4 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) #s(literal -4 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 #s(literal -4 binary64) #s(literal 0 binary64)) #s(literal -4 binary64))
(/.f64 (exp.f64 #s(literal 1 binary64)) (exp.f64 #s(literal 1 binary64)))
(copysign.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(copysign.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) #s(literal -1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 4 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) #s(literal -2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal -2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/4 binary64) #s(literal 2 binary64) #s(literal 1/2 binary64))
(fma.f64 (PI.f64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 4 binary64) #s(literal 1/4 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))
(hypot.f64 #s(literal 0 binary64) #s(literal 1 binary64))
(hypot.f64 #s(literal 0 binary64) #s(literal -1 binary64))
(hypot.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(hypot.f64 #s(literal -1 binary64) #s(literal 0 binary64))
(neg.f64 #s(literal -1 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(sqrt.f64 #s(literal 1 binary64))

eval33.0ms (1.1%)

Memory: -4.5MiB live, 39.3MiB allocated; 14ms collecting garbage
Compiler: Compiled 3 750 to 709 computations (81.1% saved)

prune6.0ms (0.2%)

Memory

14.3MiB live, 14.3MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	213	0	213
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	213	4	217

Accuracy

100.0%

Counts

217 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	100.0%	(sin.f64 (acos.f64 x))
✓	99.3%	#s(approx (sqrt (- 1 (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓	98.8%	#s(approx (sqrt (- 1 (* x x))) #s(literal 1 binary64))

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes30.0ms (1%)

Memory

-4.9MiB live, 45.2MiB allocated; 22ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

4 → 1

5 → 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)))
#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)))

Call 3

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)))))
(sin.f64 (acos.f64 x))

Outputs
(sin.f64 (acos.f64 x))

Calls

12 calls:

14.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
2.0ms	x
2.0ms	x
2.0ms	(*.f64 x x)
1.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))

Results

Accuracy	Segments	Branch
98.8%	1	`(*.f64 x x)`
98.8%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
98.8%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
98.8%	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`
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 89 to 56 computations (37.1% saved)

derivations1.0ms (0%)

Memory

1.5MiB live, 1.4MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 17 to 12 computations (29.4% saved)

preprocess48.0ms (1.6%)

Memory: 9.1MiB live, 55.1MiB allocated; 4ms collecting garbage
Remove: (abs x)
Compiler: Compiled 57 to 47 computations (17.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0.1%)

sample591.0ms (20.4%)

preprocess39.0ms (1.3%)

series86.0ms (3%)

rewrite125.0ms (4.3%)

eval3.0ms (0.1%)

prune2.0ms (0.1%)

series89.0ms (3.1%)

rewrite175.0ms (6.1%)

eval4.0ms (0.1%)

prune2.0ms (0.1%)

series119.0ms (4.1%)

rewrite1.5s (53.3%)

eval33.0ms (1.1%)

prune6.0ms (0.2%)

regimes30.0ms (1%)

derivations1.0ms (0%)

preprocess48.0ms (1.6%)

end0.0ms (0%)

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