Metrics for Eccentricity of an ellipse

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze40.0ms (2.1%)

Memory

-46.7MiB live, 11.4MiB allocated; 40ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	37.5%	62.5%	0%	0%	0%	0
0%	0%	37.5%	62.5%	0%	0%	0%	1
0%	0%	18.7%	62.5%	0%	18.7%	0%	2
0%	0%	9.4%	62.5%	0%	28.1%	0%	3
0%	0%	9.4%	62.5%	0%	28.1%	0%	4
0%	0%	7%	62.5%	0%	30.4%	0%	5
20%	1.2%	4.7%	62.5%	0%	31.6%	0%	6
25%	1.2%	3.5%	62.5%	0%	32.8%	0%	7
40%	1.8%	2.6%	62.5%	0%	33.1%	0%	8
51.9%	2%	1.9%	62.5%	0%	33.5%	0%	9
64.7%	2.4%	1.3%	62.5%	0%	33.7%	0%	10
72.9%	2.6%	1%	62.5%	0%	33.9%	0%	11
80.2%	2.7%	0.7%	62.5%	0%	34%	0%	12

Compiler

Compiled 25 to 16 computations (36% saved)

sample1.1s (58.5%)

Memory

-80.6MiB live, 1 095.7MiB allocated; 948ms collecting garbage

Samples

464.0ms	8 256×	0	valid
52.0ms	790×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 328.0ms

ival-mult!: 94.0ms (28.6% of total)

ival-sqrt: 66.0ms (20.1% of total)

ival-div!: 58.0ms (17.7% of total)

ival-fabs: 50.0ms (15.2% of total)

ival-sub!: 49.0ms (14.9% of total)

ival-<=: 6.0ms (1.8% of total)

ival-and: 4.0ms (1.2% of total)

adjust: 2.0ms (0.6% of total)

ival-assert: 1.0ms (0.3% of total)

Bogosity

preprocess23.0ms (1.2%)

Memory

46.0MiB live, 46.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	80
1	142	68
2	1066	56

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.9%	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Symmetry

(abs a)

(abs b)

Compiler

Compiled 26 to 16 computations (38.5% saved)

series29.0ms (1.5%)

Memory

-32.0MiB live, 16.7MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	268

Stop Event

1×	iter-limit

Counts

8 → 16

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 a a)
a
(*.f64 b b)
b

Outputs
#s(approx (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64))))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64)))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64))))
#s(approx (- (* a a) (* b b)) (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))))
#s(approx (- (* a a) (* b b)) (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
#s(approx (* a a) (pow.f64 a #s(literal 2 binary64)))
#s(approx a a)
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
#s(approx (/ (- (* a a) (* b b)) (* a a)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))
#s(approx (- (* a a) (* b b)) (.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))))
#s(approx (- (* a a) (* b b)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))
#s(approx (* b b) (pow.f64 b #s(literal 2 binary64)))
#s(approx b b)
#s(approx (/ (- (* a a) (* b b)) (* a a)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64))))))
#s(approx (- (* a a) (* b b)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64))))

Calls

6 calls:

Time	Variable	Point
18.0ms	a	0
2.0ms	b	inf
1.0ms	a	inf
1.0ms	a	-inf
1.0ms	b	-inf

rewrite109.0ms (5.6%)

Memory

-2.5MiB live, 186.1MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	51
0	14	51
1	73	45
2	528	39
0	4053	39

Stop Event

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

Counts

8 → 527

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 a a)
a
(*.f64 b b)
b

Outputs
(.f64 (pow.f64 (.f64 (-.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal 1 binary64)) (-.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))) (pow.f64 (.f64 (-.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal 1 binary64)) (-.f64 (.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a))))))) (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (*.f64 a a))))))))
(.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a)))) (.f64 (-.f64 a b) (+.f64 b a))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (+.f64 b a) (-.f64 b a)) (.f64 (+.f64 b a) (-.f64 b a))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a))))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (*.f64 a a))))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a)))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (*.f64 a a)))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 a b) (+.f64 b a)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a))))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (fabs.f64 (.f64 (+.f64 b a) (-.f64 b a))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a))))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (*.f64 a a))))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (fabs.f64 (.f64 (+.f64 b a) (-.f64 b a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a))))
(pow.f64 (.f64 (-.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal 1 binary64)) (-.f64 (.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a))))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (neg.f64 (fabs.f64 (.f64 (+.f64 b a) (-.f64 b a))))) (sqrt.f64 (.f64 (neg.f64 a) a)))
(/.f64 (sqrt.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a))) (sqrt.f64 (fabs.f64 a)))
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) (fabs.f64 a))
(sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a))))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a)))))))))
(fabs.f64 (neg.f64 (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a))))))))
(fabs.f64 (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a)))))))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal 1 binary64)) (-.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal 1 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (*.f64 a a)))))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal 1 binary64)) (-.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (.f64 (-.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal 1 binary64)) (-.f64 (.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (/.f64 (fabs.f64 (+.f64 b a)) (neg.f64 (fabs.f64 a))) (/.f64 (fabs.f64 (-.f64 b a)) (neg.f64 (fabs.f64 a))))
(*.f64 (/.f64 (fabs.f64 (+.f64 b a)) (neg.f64 (neg.f64 a))) (/.f64 (fabs.f64 (-.f64 b a)) (neg.f64 (neg.f64 a))))
(*.f64 (/.f64 (fabs.f64 (+.f64 b a)) (fabs.f64 a)) (/.f64 (fabs.f64 (-.f64 b a)) (fabs.f64 a)))
(*.f64 (/.f64 (fabs.f64 (+.f64 b a)) (neg.f64 a)) (/.f64 (fabs.f64 (-.f64 b a)) (neg.f64 a)))
(*.f64 (/.f64 (fabs.f64 (+.f64 b a)) a) (/.f64 (fabs.f64 (-.f64 b a)) a))
(*.f64 (fabs.f64 (/.f64 (+.f64 b a) (fabs.f64 a))) (fabs.f64 (/.f64 (-.f64 a b) (fabs.f64 a))))
(*.f64 (fabs.f64 (/.f64 (+.f64 b a) (neg.f64 a))) (fabs.f64 (/.f64 (-.f64 b a) a)))
(*.f64 (fabs.f64 (/.f64 (+.f64 b a) a)) (fabs.f64 (/.f64 (-.f64 a b) a)))
(.f64 (sqrt.f64 (-.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (.f64 (-.f64 a b) (+.f64 b a))) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a)))))))
(.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a)))) (.f64 (-.f64 a b) (+.f64 b a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a a))))
(.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a)))) (.f64 (-.f64 a b) (+.f64 b a))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a)))) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (*.f64 a a)))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 a b) (+.f64 b a)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a))))) #s(literal 1/2 binary64)))
(.f64 (neg.f64 (fabs.f64 (.f64 (+.f64 b a) (-.f64 b a)))) (/.f64 #s(literal -1 binary64) (*.f64 a a)))
(.f64 (fabs.f64 (+.f64 b a)) (fabs.f64 (/.f64 (-.f64 a b) (.f64 a a))))
(.f64 (fabs.f64 (-.f64 (/.f64 (.f64 b b) a) a)) (fabs.f64 (/.f64 #s(literal 1 binary64) a)))
(.f64 (fabs.f64 (-.f64 (/.f64 (.f64 b b) a) a)) (/.f64 #s(literal 1 binary64) (fabs.f64 a)))
(.f64 (neg.f64 (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a))))))) (neg.f64 (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (*.f64 a a))))))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (*.f64 a a))))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a))))
(.f64 (fabs.f64 (.f64 (+.f64 b a) (-.f64 b a))) (fabs.f64 (/.f64 #s(literal -1 binary64) (*.f64 a a))))
(.f64 (fabs.f64 (.f64 (+.f64 b a) (-.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1/2 binary64)))
(.f64 (fabs.f64 (.f64 (+.f64 b a) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(.f64 (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a)))))) (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (*.f64 a a)))))))
(pow.f64 (.f64 (.f64 (-.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal 1 binary64)) (-.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal 1 binary64)) (-.f64 (.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (-.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal 1 binary64)) (-.f64 (.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a)))))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a))))) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 (fabs.f64 (.f64 (+.f64 b a) (-.f64 b a))))) (.f64 a a))
(/.f64 (neg.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a))) (neg.f64 (fabs.f64 a)))
(/.f64 (fabs.f64 (neg.f64 (fabs.f64 (.f64 (+.f64 b a) (-.f64 b a))))) (.f64 a a))
(/.f64 (fabs.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a))) (fabs.f64 a))
(/.f64 (fabs.f64 (.f64 (.f64 (-.f64 a b) (+.f64 b a)) #s(literal 1 binary64))) (*.f64 a a))
(/.f64 (fabs.f64 (-.f64 (fabs.f64 a) (/.f64 (*.f64 b b) (fabs.f64 a)))) (fabs.f64 a))
(/.f64 (fabs.f64 (-.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 (.f64 a b) (.f64 a b)))) (.f64 (.f64 a a) (*.f64 a a)))
(/.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a)))) (.f64 (+.f64 b a) (-.f64 b a)))) (sqrt.f64 (*.f64 (neg.f64 a) a)))
(/.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a)))) (.f64 (-.f64 a b) (+.f64 b a)))) (fabs.f64 a))
(/.f64 (sqrt.f64 (.f64 (-.f64 a (/.f64 (.f64 b b) a)) (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a)))))) (sqrt.f64 a))
(/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 b a) (-.f64 b a)) (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a)))))) (sqrt.f64 (*.f64 (neg.f64 a) a)))
(/.f64 (sqrt.f64 (.f64 (.f64 (-.f64 a b) (+.f64 b a)) (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a)))))) (fabs.f64 a))
(/.f64 (sqrt.f64 (.f64 (-.f64 a (/.f64 (.f64 b b) a)) (.f64 (+.f64 b a) (-.f64 b a)))) (sqrt.f64 (.f64 a (*.f64 (neg.f64 a) a))))
(/.f64 (sqrt.f64 (.f64 (-.f64 a (/.f64 (.f64 b b) a)) (.f64 (-.f64 a b) (+.f64 b a)))) (sqrt.f64 (.f64 (*.f64 a a) a)))
(/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 b a) (-.f64 b a)) (-.f64 a (/.f64 (.f64 b b) a)))) (sqrt.f64 (.f64 (*.f64 (neg.f64 a) a) a)))
(/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 b a) (-.f64 b a)) (.f64 (-.f64 a b) (+.f64 b a)))) (sqrt.f64 (.f64 (.f64 (neg.f64 a) a) (.f64 a a))))
(/.f64 (sqrt.f64 (.f64 (.f64 (-.f64 a b) (+.f64 b a)) (-.f64 a (/.f64 (.f64 b b) a)))) (sqrt.f64 (.f64 (*.f64 a a) a)))
(/.f64 (sqrt.f64 (.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 (+.f64 b a) (-.f64 b a)))) (sqrt.f64 (.f64 (.f64 a a) (.f64 (neg.f64 a) a))))
(/.f64 (neg.f64 (fabs.f64 (.f64 (+.f64 b a) (-.f64 b a)))) (.f64 (neg.f64 a) a))
(/.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a)) (fabs.f64 a))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 a) a) (neg.f64 (fabs.f64 (.f64 (+.f64 b a) (-.f64 b a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 a) (fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (fabs.f64 (.f64 (+.f64 b a) (-.f64 b a)))))
(/.f64 (fabs.f64 (.f64 (+.f64 b a) (-.f64 b a))) (.f64 a a))
(sqrt.f64 (.f64 (-.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal 1 binary64)) (-.f64 (.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64))))
(fabs.f64 (neg.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a)))))))
(fabs.f64 (.f64 (neg.f64 (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a))))))) (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (*.f64 a a))))))))
(fabs.f64 (.f64 (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a)))))) (neg.f64 (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (*.f64 a a)))))))))
(fabs.f64 (-.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal 1 binary64)))
(fabs.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a))))))
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(*.f64 b b)
(pow.f64 (neg.f64 (fabs.f64 b)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 b)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 b) #s(literal 2 binary64))
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 b #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 b) b))
(sqrt.f64 (.f64 (.f64 b b) (*.f64 b b)))
(fabs.f64 (*.f64 (neg.f64 b) b))
(fabs.f64 (*.f64 b b))
(exp.f64 (*.f64 (log.f64 (fabs.f64 b)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 b)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
b

eval65.0ms (3.4%)

Memory: 41.1MiB live, 130.4MiB allocated; 10ms collecting garbage
Compiler: Compiled 10 944 to 2 539 computations (76.8% saved)

prune10.0ms (0.5%)

Memory

-16.8MiB live, 28.2MiB allocated; 4ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	535	3	538
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	536	3	539

Accuracy

100.0%

Counts

539 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal 1 binary64))))
▶	79.6%	(sqrt.f64 (fabs.f64 (-.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal 1 binary64))))
▶	97.3%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Status

Accuracy

Program

▶

100.0%

(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal 1 binary64))))

▶

79.6%

(sqrt.f64 (fabs.f64 (-.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64))))

▶

97.3%

(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Compiler

Compiled 37 to 28 computations (24.3% saved)

series36.0ms (1.9%)

Memory

-21.0MiB live, 48.4MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	437

Stop Event

1×	iter-limit

Counts

18 → 25

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 (fabs.f64 (-.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal 1 binary64))))
(fabs.f64 (-.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal 1 binary64)))
(-.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal 1 binary64))
(.f64 b (/.f64 b (.f64 a a)))
b
(/.f64 b (*.f64 a a))
(*.f64 a a)
a
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal 1 binary64))))
(fabs.f64 (fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal 1 binary64)))
(fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal 1 binary64))
(/.f64 (neg.f64 b) a)
(neg.f64 b)
(/.f64 b a)

Outputs
#s(approx (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64))))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64)))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64))))
#s(approx (sqrt (fabs (- (* b (/ b (* a a))) 1))) (sqrt.f64 (fabs.f64 (-.f64 (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (fabs (- (* b (/ b (* a a))) 1)) (fabs.f64 (-.f64 (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (- (* b (/ b (* a a))) 1) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))
#s(approx (- (* b (/ b (* a a))) 1) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64))))
#s(approx (/ b (* a a)) (/.f64 b (pow.f64 a #s(literal 2 binary64))))
#s(approx (* a a) (pow.f64 a #s(literal 2 binary64)))
#s(approx a a)
#s(approx (sqrt (fabs (+ (* (/ (neg b) a) (/ b a)) 1))) (sqrt.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))))
#s(approx (fabs (+ (* (/ (neg b) a) (/ b a)) 1)) (fabs.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))))
#s(approx (/ (neg b) a) (*.f64 #s(literal -1 binary64) (/.f64 b a)))
#s(approx (/ b a) (/.f64 b a))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
#s(approx (/ (- (* a a) (* b b)) (* a a)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))
#s(approx (- (* b (/ b (* a a))) 1) #s(literal -1 binary64))
#s(approx (- (* b (/ b (* a a))) 1) (-.f64 (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx b b)
#s(approx (neg b) (*.f64 #s(literal -1 binary64) b))
#s(approx (/ (- (* a a) (* b b)) (* a a)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64))))))
#s(approx (- (* b (/ b (* a a))) 1) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))))))
#s(approx (sqrt (fabs (+ (* (/ (neg b) a) (/ b a)) 1))) (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))))
#s(approx (fabs (+ (* (/ (neg b) a) (/ b a)) 1)) (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))

Calls

6 calls:

Time	Variable	Point
20.0ms	b	inf
3.0ms	b	0
3.0ms	b	-inf
2.0ms	a	0
2.0ms	a	inf

rewrite104.0ms (5.4%)

Memory

-13.1MiB live, 175.4MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	129
0	37	129
1	166	123
2	756	103
0	4138	103

Stop Event

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

Counts

18 → 910

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 (fabs.f64 (-.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal 1 binary64))))
(fabs.f64 (-.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal 1 binary64)))
(-.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal 1 binary64))
(.f64 b (/.f64 b (.f64 a a)))
b
(/.f64 b (*.f64 a a))
(*.f64 a a)
a
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal 1 binary64))))
(fabs.f64 (fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal 1 binary64)))
(fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal 1 binary64))
(/.f64 (neg.f64 b) a)
(neg.f64 b)
(/.f64 b a)

Outputs
(.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 #s(approx (/ (- ( a a) (* b b)) (* a a)) #s(literal 1 binary64))))) (sqrt.f64 (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))))
(.f64 (pow.f64 (neg.f64 #s(approx (/ (- ( a a) (* b b)) (* a a)) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (fabs.f64 #s(approx (/ (- ( a a) (* b b)) (* a a)) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(approx (/ (- ( a a) (* b b)) (* a a)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (fabs.f64 #s(approx (/ (- ( a a) (* b b)) (* a a)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(pow.f64 (.f64 #s(approx (/ (- ( a a) (* b b)) (* a a)) #s(literal 1 binary64)) #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))))))
(fabs.f64 (neg.f64 (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))))
(fabs.f64 (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (fabs.f64 #s(approx (/ (- ( a a) (* b b)) (* a a)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (neg.f64 #s(approx (/ (- ( a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))))
(.f64 (pow.f64 (neg.f64 #s(approx (/ (- ( a a) (* b b)) (* a a)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 #s(approx (/ (- ( a a) (* b b)) (* a a)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(.f64 (neg.f64 (sqrt.f64 (fabs.f64 #s(approx (/ (- ( a a) (* b b)) (* a a)) #s(literal 1 binary64))))) (neg.f64 (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))))
(.f64 (sqrt.f64 #s(approx (/ (- ( a a) (* b b)) (* a a)) #s(literal 1 binary64))) (sqrt.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fabs.f64 #s(approx (/ (- ( a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))))
(pow.f64 (.f64 (.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (.f64 #s(approx (/ (- ( a a) (* b b)) (* a a)) #s(literal 1 binary64)) #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (.f64 #s(approx (/ (- ( a a) (* b b)) (* a a)) #s(literal 1 binary64)) #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #s(literal 1 binary64))
(sqrt.f64 (.f64 #s(approx (/ (- ( a a) (* b b)) (* a a)) #s(literal 1 binary64)) #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))))
(fabs.f64 (neg.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))))
(fabs.f64 (.f64 (neg.f64 (sqrt.f64 (fabs.f64 #s(approx (/ (- ( a a) (* b b)) (* a a)) #s(literal 1 binary64))))) (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))))
(fabs.f64 (.f64 (sqrt.f64 (fabs.f64 #s(approx (/ (- ( a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))))))
(fabs.f64 (neg.f64 (neg.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))))
(fabs.f64 (neg.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(fabs.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))))) (sqrt.f64 (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))))
(.f64 (pow.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (*.f64 a a)) b)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(pow.f64 (.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))))
(fabs.f64 (neg.f64 (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))))
(fabs.f64 (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (/.f64 (+.f64 b a) (fabs.f64 a))) (fabs.f64 (/.f64 (-.f64 a b) (fabs.f64 a))))
(*.f64 (fabs.f64 (/.f64 (+.f64 b a) (neg.f64 a))) (fabs.f64 (/.f64 (-.f64 b a) a)))
(*.f64 (fabs.f64 (/.f64 (+.f64 b a) a)) (fabs.f64 (/.f64 (-.f64 a b) a)))
(.f64 (fabs.f64 (+.f64 b a)) (fabs.f64 (.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (*.f64 a a)))))
(.f64 (fabs.f64 (+.f64 b a)) (fabs.f64 (/.f64 (-.f64 a b) (.f64 a a))))
(.f64 (fabs.f64 (-.f64 a (/.f64 (.f64 b b) a))) (/.f64 #s(literal 1 binary64) (fabs.f64 a)))
(.f64 (fabs.f64 (.f64 (+.f64 b a) (-.f64 b a))) (fabs.f64 (/.f64 #s(literal -1 binary64) (*.f64 a a))))
(.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (*.f64 a a)) b)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (neg.f64 (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))))) (neg.f64 (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))))
(.f64 (sqrt.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (*.f64 a a)) b))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))))
(.f64 (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
(pow.f64 (.f64 (.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) (.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) #s(literal 1 binary64))
(/.f64 (fabs.f64 (.f64 (.f64 (-.f64 a b) (+.f64 b a)) #s(literal 1 binary64))) (*.f64 a a))
(/.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (fabs.f64 a))) (fabs.f64 a))
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(*.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 b))
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a))
(*.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) a)))
(*.f64 b (/.f64 #s(literal -1 binary64) a))
(/.f64 (neg.f64 (*.f64 (neg.f64 b) #s(literal 1 binary64))) (neg.f64 a))
(/.f64 (*.f64 (neg.f64 b) #s(literal 1 binary64)) a)
(/.f64 (neg.f64 b) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 b) a)
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b))
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 b)))
(/.f64 b (neg.f64 (neg.f64 (neg.f64 a))))
(/.f64 b (neg.f64 a))
(neg.f64 (/.f64 b a))
(neg.f64 b)
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) a))
(*.f64 b (/.f64 #s(literal 1 binary64) a))
(/.f64 (neg.f64 (*.f64 b #s(literal 1 binary64))) (neg.f64 a))
(/.f64 (*.f64 b #s(literal 1 binary64)) a)
(/.f64 (neg.f64 b) (neg.f64 (neg.f64 (neg.f64 a))))
(/.f64 (neg.f64 b) (neg.f64 a))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) (neg.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(/.f64 b (neg.f64 (neg.f64 a)))
(/.f64 b a)
(neg.f64 (/.f64 (neg.f64 b) a))

eval112.0ms (5.8%)

Memory: 2.8MiB live, 188.1MiB allocated; 22ms collecting garbage
Compiler: Compiled 16 849 to 3 663 computations (78.3% saved)

prune13.0ms (0.7%)

Memory

32.6MiB live, 32.6MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	870	2	872
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	872	3	875

Accuracy

100.0%

Counts

875 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.6%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
▶	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
✓	97.3%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Status

Accuracy

Program

▶

79.6%

(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))

▶

100.0%

(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))

✓

97.3%

(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Compiler

Compiled 35 to 25 computations (28.6% saved)

series11.0ms (0.6%)

Memory

-28.4MiB live, 18.6MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	162

Stop Event

1×	iter-limit

Counts

12 → 12

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
(/.f64 b a)
b
a
#s(literal -1 binary64)
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
(fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))
(/.f64 b (*.f64 a a))
(*.f64 a a)

Outputs
#s(approx (sqrt (fabs (+ (* (/ b a) (/ b a)) -1))) (sqrt.f64 (fabs.f64 (-.f64 (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (fabs (+ (* (/ b a) (/ b a)) -1)) (fabs.f64 (-.f64 (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (+ (* (/ b a) (/ b a)) -1) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))
#s(approx (+ (* (/ b a) (/ b a)) -1) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64))))
#s(approx (/ b a) (/.f64 b a))
#s(approx a a)
#s(approx (/ b (* a a)) (/.f64 b (pow.f64 a #s(literal 2 binary64))))
#s(approx (* a a) (pow.f64 a #s(literal 2 binary64)))
#s(approx (+ (* (/ b a) (/ b a)) -1) #s(literal -1 binary64))
#s(approx (+ (* (/ b a) (/ b a)) -1) (-.f64 (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx b b)
#s(approx (+ (* (/ b a) (/ b a)) -1) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))))))

Calls

6 calls:

Time	Variable	Point
3.0ms	b	inf
1.0ms	b	-inf
1.0ms	a	-inf
1.0ms	a	0
1.0ms	a	inf

rewrite93.0ms (4.8%)

Memory

17.4MiB live, 110.1MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	68
0	23	62
1	108	62
2	397	62
3	2250	62
0	4031	62

Stop Event

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

Counts

12 → 654

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
(/.f64 b a)
b
a
#s(literal -1 binary64)
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
(fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))
(/.f64 b (*.f64 a a))
(*.f64 a a)

Outputs
(.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))))) (sqrt.f64 (neg.f64 (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))))
(*.f64 (sqrt.f64 (-.f64 (fabs.f64 (/.f64 b a)) #s(literal -1 binary64))) (sqrt.f64 (fabs.f64 (-.f64 (fabs.f64 (/.f64 b a)) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (-.f64 (fabs.f64 (/.f64 b a)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (-.f64 (fabs.f64 (/.f64 b a)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) (-.f64 #s(literal -1 binary64) (/.f64 b a))) (-.f64 (/.f64 b a) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b)) (-.f64 #s(literal -1 binary64) (/.f64 b a))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (fabs.f64 (.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 b a)))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)) (-.f64 (fabs.f64 (/.f64 b a)) #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (fabs.f64 (/.f64 b a)) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b)) (-.f64 (/.f64 b a) #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 (fabs.f64 (/.f64 b a)) #s(literal -1 binary64)) (-.f64 (fabs.f64 (/.f64 b a)) #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 (fabs.f64 (/.f64 b a)) #s(literal 1 binary64)) (-.f64 (fabs.f64 (/.f64 b a)) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (neg.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (-.f64 (fabs.f64 (/.f64 b a)) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (-.f64 (fabs.f64 (/.f64 b a)) #s(literal 1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))) (pow.f64 (.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))))) (sqrt.f64 (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)))) (sqrt.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)))))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)))) (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)))))
(.f64 (pow.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (-.f64 #s(literal 1 binary64) (/.f64 b a))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) (-.f64 #s(literal -1 binary64) (/.f64 b a))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) (-.f64 #s(literal -1 binary64) (/.f64 b a))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (-.f64 #s(literal 1 binary64) (/.f64 b a))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (*.f64 a a)) b)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a))) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a))) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) b (neg.f64 a)))) (sqrt.f64 (fabs.f64 a)))
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))) (fabs.f64 a))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))))
(fabs.f64 (neg.f64 (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))))
(fabs.f64 (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(.f64 (fabs.f64 (.f64 #s(literal -1 binary64) (-.f64 (fabs.f64 (/.f64 b a)) #s(literal -1 binary64)))) (fabs.f64 (-.f64 (fabs.f64 (/.f64 b a)) #s(literal 1 binary64))))
(.f64 (fabs.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 b a)))) (fabs.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a))))
(.f64 (fabs.f64 (.f64 #s(literal -1 binary64) (-.f64 (/.f64 b a) #s(literal -1 binary64)))) (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(.f64 (fabs.f64 (.f64 #s(literal -1 binary64) (-.f64 (/.f64 b a) #s(literal 1 binary64)))) (fabs.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a))))
(*.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 b (fabs.f64 a)))) (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (fabs.f64 a)))))
(*.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (/.f64 b a))))) (fabs.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (/.f64 b a))))))
(*.f64 (fabs.f64 (+.f64 (/.f64 b (fabs.f64 a)) #s(literal 1 binary64))) (fabs.f64 (-.f64 (/.f64 b (fabs.f64 a)) #s(literal 1 binary64))))
(*.f64 (fabs.f64 (+.f64 (neg.f64 (fabs.f64 (/.f64 b a))) #s(literal 1 binary64))) (fabs.f64 (-.f64 (neg.f64 (fabs.f64 (/.f64 b a))) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) (-.f64 #s(literal -1 binary64) (/.f64 b a))) (-.f64 (/.f64 b a) #s(literal 1 binary64)))) (sqrt.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b)) (-.f64 #s(literal -1 binary64) (/.f64 b a)))) (sqrt.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fabs.f64 (.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 b a))))) (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)))))
(.f64 (sqrt.f64 (.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)) (-.f64 (fabs.f64 (/.f64 b a)) #s(literal -1 binary64)))) (sqrt.f64 (-.f64 (fabs.f64 (/.f64 b a)) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))) (sqrt.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a))))
(.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 b (.f64 a a)) b)) (-.f64 (/.f64 b a) #s(literal -1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a))))
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(fma.f64 (.f64 (fabs.f64 b) (/.f64 #s(literal 1 binary64) a)) (.f64 (fabs.f64 b) (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))
(fma.f64 (/.f64 (fabs.f64 b) (neg.f64 a)) (/.f64 (fabs.f64 b) (neg.f64 a)) #s(literal -1 binary64))
(fma.f64 (/.f64 (fabs.f64 b) a) (/.f64 (fabs.f64 b) a) #s(literal -1 binary64))
(fma.f64 (/.f64 (neg.f64 b) (fabs.f64 a)) (/.f64 (neg.f64 b) (fabs.f64 a)) #s(literal -1 binary64))
(fma.f64 (/.f64 (neg.f64 b) (fabs.f64 a)) (/.f64 b (neg.f64 (fabs.f64 a))) #s(literal -1 binary64))
(fma.f64 (/.f64 b (neg.f64 (fabs.f64 a))) (/.f64 (neg.f64 b) (fabs.f64 a)) #s(literal -1 binary64))
(fma.f64 (/.f64 b (neg.f64 (fabs.f64 a))) (/.f64 b (neg.f64 (fabs.f64 a))) #s(literal -1 binary64))
(fma.f64 (neg.f64 (/.f64 b (fabs.f64 a))) (neg.f64 (/.f64 b (fabs.f64 a))) #s(literal -1 binary64))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 (/.f64 b a)))) (neg.f64 (neg.f64 (fabs.f64 (/.f64 b a)))) #s(literal -1 binary64))
(fma.f64 (/.f64 (fabs.f64 b) (*.f64 a a)) (fabs.f64 b) #s(literal -1 binary64))
(fma.f64 (*.f64 b (/.f64 b (fabs.f64 a))) (/.f64 #s(literal 1 binary64) (fabs.f64 a)) #s(literal -1 binary64))
(fma.f64 (/.f64 b (fabs.f64 a)) (/.f64 b (fabs.f64 a)) #s(literal -1 binary64))
(fma.f64 (.f64 (neg.f64 b) b) (/.f64 #s(literal -1 binary64) (.f64 a a)) #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 b (neg.f64 a)) b) (/.f64 #s(literal -1 binary64) a) #s(literal -1 binary64))
(fma.f64 (neg.f64 (fabs.f64 (/.f64 b a))) (neg.f64 (fabs.f64 (/.f64 b a))) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 a)) (*.f64 b (/.f64 b (fabs.f64 a))) #s(literal -1 binary64))
(fma.f64 (fabs.f64 b) (fabs.f64 (/.f64 (fabs.f64 b) (*.f64 a a))) #s(literal -1 binary64))
(fma.f64 (fabs.f64 b) (/.f64 (fabs.f64 b) (*.f64 a a)) #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 b a) b) (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64))
(fma.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) (/.f64 b a)))
(fma.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) (/.f64 b a) (*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 b a) (*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 b a) b) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (.f64 b b) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 (/.f64 b a) #s(literal 1 binary64)) (*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal 1 binary64))))
(fma.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) (.f64 a a)) #s(literal -1 binary64))
(fma.f64 (neg.f64 b) (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b a)) #s(literal -1 binary64))
(fma.f64 (neg.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (neg.f64 a))) #s(literal -1 binary64))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 (neg.f64 a) a)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (/.f64 b a)) (fabs.f64 (/.f64 b a)) #s(literal -1 binary64))
(fma.f64 (/.f64 b (neg.f64 a)) (/.f64 b (neg.f64 a)) #s(literal -1 binary64))
(fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))
(fma.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 b a) #s(literal 1 binary64))))
(fma.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 b a) #s(literal -1 binary64))))
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
(fma.f64 b (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b (neg.f64 a))) #s(literal -1 binary64))
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
(-.f64 (.f64 (/.f64 b (.f64 a a)) b) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (.f64 (/.f64 b (.f64 (neg.f64 a) a)) b))
(+.f64 (.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) (/.f64 b a)))
(+.f64 (.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) (/.f64 b a)) (.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 b a)) (.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (-.f64 (/.f64 b a) #s(literal 1 binary64))) (.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal 1 binary64))))
(+.f64 (.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (-.f64 (/.f64 b a) #s(literal 1 binary64))))
(+.f64 (.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -1 binary64))) (.f64 #s(literal -1 binary64) (-.f64 (/.f64 b a) #s(literal -1 binary64))))
(+.f64 (/.f64 (neg.f64 a) a) (.f64 (/.f64 b (.f64 a a)) b))
(+.f64 (copysign.f64 #s(literal 1 binary64) (.f64 (neg.f64 a) a)) (.f64 (/.f64 b (*.f64 a a)) b))
(+.f64 (.f64 (/.f64 b (.f64 a a)) b) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (neg.f64 (fabs.f64 (/.f64 b a)))) (fabs.f64 (/.f64 b a))))
(+.f64 #s(literal -1 binary64) (.f64 (/.f64 b (.f64 a a)) b))
(.f64 (.f64 (/.f64 b a) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 b (neg.f64 (fabs.f64 a))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 a))))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 a a)) (neg.f64 b))
(*.f64 (/.f64 b (fabs.f64 a)) (/.f64 #s(literal 1 binary64) (fabs.f64 a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) b)
(.f64 #s(literal 1 binary64) (/.f64 b (.f64 a a)))
(.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) (.f64 a a)))
(*.f64 (/.f64 b (neg.f64 a)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) a))
(.f64 b (/.f64 #s(literal 1 binary64) (.f64 a a)))
(/.f64 (*.f64 (/.f64 b a) #s(literal 1 binary64)) a)
(/.f64 (*.f64 (/.f64 b a) #s(literal -1 binary64)) (neg.f64 a))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 a)) b) (fabs.f64 a))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (neg.f64 a))
(/.f64 (/.f64 (neg.f64 b) (fabs.f64 a)) (neg.f64 (fabs.f64 a)))
(/.f64 (/.f64 b (neg.f64 (fabs.f64 a))) (neg.f64 (fabs.f64 a)))
(/.f64 (.f64 (neg.f64 b) #s(literal 1 binary64)) (.f64 (neg.f64 a) a))
(/.f64 (.f64 (neg.f64 b) #s(literal -1 binary64)) (.f64 a a))
(/.f64 (.f64 b #s(literal -1 binary64)) (.f64 (neg.f64 a) a))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 b)) (.f64 (neg.f64 a) a))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 b)) (.f64 a a))
(/.f64 (.f64 #s(literal -1 binary64) b) (.f64 (neg.f64 a) a))
(/.f64 (neg.f64 (/.f64 b (fabs.f64 a))) (neg.f64 (fabs.f64 a)))
(/.f64 (/.f64 b (fabs.f64 a)) (fabs.f64 a))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 a) (/.f64 b (fabs.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) (/.f64 b (neg.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 a) a) (neg.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) b))
(/.f64 (neg.f64 b) (*.f64 (neg.f64 a) a))
(/.f64 (/.f64 b (neg.f64 a)) (neg.f64 a))
(/.f64 (/.f64 b a) a)
(/.f64 b (*.f64 a a))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b a)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (neg.f64 a))))
(neg.f64 (/.f64 b (*.f64 (neg.f64 a) a)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 a)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 a)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 a)) #s(literal 1 binary64)) (neg.f64 (fabs.f64 a)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 a))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 a))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 a))) #s(literal 1 binary64)) (pow.f64 (fabs.f64 a) #s(literal 1 binary64)))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal 2 binary64)) (.f64 a a))
(*.f64 (pow.f64 (fabs.f64 a) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 a) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 a) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 a) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 a))) (neg.f64 (neg.f64 (fabs.f64 a))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 a))) (fabs.f64 a))
(*.f64 (pow.f64 (fabs.f64 a) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 a))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 a) #s(literal 1 binary64)) (pow.f64 (fabs.f64 a) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 a) #s(literal 1 binary64)) (fabs.f64 a))
(*.f64 (pow.f64 (neg.f64 a) #s(literal 1 binary64)) (pow.f64 (neg.f64 a) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 a) #s(literal 1 binary64)) (neg.f64 a))
(*.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)))
(*.f64 (pow.f64 a #s(literal 1 binary64)) a)
(*.f64 (pow.f64 a (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 a (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)))
(.f64 #s(literal 1 binary64) (.f64 a a))
(*.f64 (fabs.f64 a) (neg.f64 (neg.f64 (fabs.f64 a))))
(*.f64 (fabs.f64 a) (fabs.f64 a))
(*.f64 (neg.f64 a) (neg.f64 a))
(.f64 (.f64 a a) (pow.f64 (*.f64 a a) #s(literal 0 binary64)))
(.f64 (.f64 a a) (pow.f64 #s(literal -1 binary64) #s(literal 2 binary64)))
(.f64 (.f64 a a) #s(literal 1 binary64))
(*.f64 a a)
(pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 a))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 a))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 a)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 a)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) a) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 a))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 a a) (*.f64 a a)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 a)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a) #s(literal 2 binary64))
(pow.f64 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 a #s(literal 2 binary64))
(/.f64 (pow.f64 (neg.f64 (fabs.f64 a)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 a))))
(/.f64 (pow.f64 (fabs.f64 a) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 a)))
(/.f64 (pow.f64 (neg.f64 a) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (pow.f64 a #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(neg.f64 (*.f64 (neg.f64 a) a))
(sqrt.f64 (.f64 (.f64 a a) (*.f64 a a)))
(fabs.f64 (*.f64 (neg.f64 a) (neg.f64 (fabs.f64 a))))
(fabs.f64 (*.f64 a (neg.f64 (fabs.f64 a))))
(fabs.f64 (*.f64 (neg.f64 a) (fabs.f64 a)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 a)))
(fabs.f64 (*.f64 (fabs.f64 a) (neg.f64 a)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 a)) a))
(fabs.f64 (.f64 #s(literal -1 binary64) (.f64 (neg.f64 a) a)))
(fabs.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 a) a)))
(fabs.f64 (*.f64 (fabs.f64 a) a))
(fabs.f64 (*.f64 a (fabs.f64 a)))
(fabs.f64 (*.f64 (neg.f64 a) a))
(fabs.f64 (*.f64 a a))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 a))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 a a)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 a)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 a)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))

eval56.0ms (2.9%)

Memory: 17.3MiB live, 66.1MiB allocated; 9ms collecting garbage
Compiler: Compiled 6 769 to 1 569 computations (76.8% saved)

prune18.0ms (0.9%)

Memory

-32.4MiB live, 13.8MiB allocated; 4ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	389	0	389
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	389	3	392

Accuracy

100.0%

Counts

392 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	79.6%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
✓	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
✓	97.3%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Status

Accuracy

Program

✓

79.6%

(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))

✓

100.0%

(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))

✓

97.3%

(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Compiler

Compiled 35 to 25 computations (28.6% saved)

regimes20.0ms (1%)

Memory

31.6MiB live, 31.6MiB allocated; 0ms collecting garbage

Accuracy

Total -11.8b remaining (-696.1%)

Threshold costs -11.8b (-696.1%)

Counts

2 → 1

6 → 1

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))

Outputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Call 2

Inputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
(sqrt.f64 (fabs.f64 (-.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal 1 binary64))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal 1 binary64))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Outputs
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))

Calls

14 calls:

2.0ms	b
2.0ms	a
2.0ms	(*.f64 a a)
1.0ms	(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))
1.0ms	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Results

Accuracy	Segments	Branch
97.3%	1	`(*.f64 b b)`
97.3%	1	`(*.f64 a a)`
97.3%	1	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
97.3%	1	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
97.3%	1	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
97.3%	1	`a`
97.3%	1	`b`
100.0%	1	`(*.f64 b b)`
100.0%	1	`(*.f64 a a)`
100.0%	1	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
100.0%	1	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
100.0%	1	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
100.0%	1	`a`
100.0%	1	`b`

Compiler

Compiled 158 to 96 computations (39.2% saved)

derivations41.0ms (2.1%)

Memory

-27.2MiB live, 19.3MiB allocated; 3ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 25 to 15 computations (40% saved)

preprocess17.0ms (0.9%)

Memory

25.1MiB live, 25.1MiB allocated; 0ms collecting garbage

Remove

(abs b)

(abs a)

Compiler

Compiled 138 to 91 computations (34.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze40.0ms (2.1%)

sample1.1s (58.5%)

preprocess23.0ms (1.2%)

series29.0ms (1.5%)

rewrite109.0ms (5.6%)

eval65.0ms (3.4%)

prune10.0ms (0.5%)

series36.0ms (1.9%)

rewrite104.0ms (5.4%)

eval112.0ms (5.8%)

prune13.0ms (0.7%)

series11.0ms (0.6%)

rewrite93.0ms (4.8%)

eval56.0ms (2.9%)

prune18.0ms (0.9%)

regimes20.0ms (1%)

derivations41.0ms (2.1%)

preprocess17.0ms (0.9%)

end0.0ms (0%)

Profiling