Metrics for bug366, discussion (missed optimization)

start0.0ms (0%)

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

analyze32.0ms (1.9%)

Memory

-15.3MiB live, 30.9MiB allocated; 7ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
30.8%	25%	56.2%	0.1%	0%	18.7%	0%	5
32%	25%	53.1%	0.1%	0%	21.9%	0%	6
55.8%	37.5%	29.7%	0.1%	0%	32.8%	0%	7
57.8%	37.5%	27.3%	0.1%	0%	35.1%	0%	8
74.2%	43.7%	15.2%	0.1%	0%	41%	0%	9
75.9%	43.7%	13.9%	0.1%	0%	42.3%	0%	10
85.9%	46.8%	7.7%	0.1%	0%	45.4%	0%	11
87%	46.8%	7%	0.1%	0%	46.1%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample652.0ms (38.4%)

Memory

-3.8MiB live, 554.8MiB allocated; 124ms collecting garbage

Samples

389.0ms	8 256×	0	valid
28.0ms	667×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 189.0ms

ival-mult!: 92.0ms (48.7% of total)

ival-sqrt: 76.0ms (40.2% of total)

ival-sub!: 20.0ms (10.6% of total)

adjust: 1.0ms (0.5% of total)

Bogosity

preprocess57.0ms (3.4%)

Memory

1.2MiB live, 48.2MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	50
1	75	50
2	287	50
3	531	50
4	1654	50
5	5168	50

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	0.3%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

Symmetry

(abs a)

(abs b)

(sort a b)

Compiler

Compiled 16 to 12 computations (25% saved)

series12.0ms (0.7%)

Memory

22.3MiB live, 22.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	156	854

Stop Event

1×	iter-limit

Counts

6 → 32

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite45.0ms (2.7%)

Memory

18.1MiB live, 66.3MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	23
0	10	23
1	50	23
0	530	23

Stop Event

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

Counts

6 → 86

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (.f64 (-.f64 a b) (+.f64 b a)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 a b) (+.f64 b a)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (*.f64 a a))))) (fabs.f64 a))
(*.f64 (pow.f64 (+.f64 b a) #s(literal 1/2 binary64)) (pow.f64 (-.f64 a b) #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 a a) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 (-.f64 a b) (+.f64 b a)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (.f64 (fma.f64 b b (.f64 a a)) (.f64 (-.f64 a b) (+.f64 b a)))) (sqrt.f64 (fma.f64 b b (.f64 a a))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a)) (.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 b b)))) (sqrt.f64 (fma.f64 (.f64 (.f64 a a) a) a (.f64 (.f64 b b) (fma.f64 b b (*.f64 a a))))))
(sqrt.f64 (.f64 (sqrt.f64 (.f64 (-.f64 a b) (+.f64 b a))) (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))))
(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))))
(fabs.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a))))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 a b) (+.f64 b a))) #s(literal 1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a)))) (fabs.f64 a)) (fabs.f64 a))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a)))) (neg.f64 a)) (neg.f64 a))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a)))) a) a)
(*.f64 (+.f64 (fabs.f64 a) (fabs.f64 b)) (-.f64 (fabs.f64 a) (fabs.f64 b)))
(*.f64 (+.f64 (fabs.f64 a) (neg.f64 b)) (-.f64 (fabs.f64 a) (neg.f64 b)))
(*.f64 (+.f64 (fabs.f64 a) b) (-.f64 (fabs.f64 a) b))
(*.f64 (+.f64 (neg.f64 a) (fabs.f64 b)) (-.f64 (neg.f64 a) (fabs.f64 b)))
(*.f64 (+.f64 (neg.f64 a) (neg.f64 b)) (-.f64 (neg.f64 a) (neg.f64 b)))
(*.f64 (+.f64 (neg.f64 a) b) (-.f64 (neg.f64 a) b))
(*.f64 (+.f64 a (fabs.f64 b)) (-.f64 a (fabs.f64 b)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 b) b) (.f64 a a))) (.f64 a a))
(*.f64 (-.f64 a b) (+.f64 b a))
(*.f64 (+.f64 b a) (-.f64 a b))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a)))) (.f64 a a))
(.f64 (.f64 (fma.f64 b b (.f64 a a)) (.f64 (-.f64 a b) (+.f64 b a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))))
(.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a)) (.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 a a) a) a (.f64 (.f64 b b) (fma.f64 b b (.f64 a a))))))
(.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a)))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a) (pow.f64 (.f64 (neg.f64 b) b) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 a a) a) a (-.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 (.f64 a a) (*.f64 (neg.f64 b) b)))))
(/.f64 (neg.f64 (.f64 (fma.f64 b b (.f64 a a)) (.f64 (-.f64 a b) (+.f64 b a)))) (neg.f64 (fma.f64 b b (.f64 a a))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a)) (.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 b b)))) (neg.f64 (fma.f64 (.f64 (.f64 a a) a) a (.f64 (.f64 b b) (fma.f64 b b (*.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (.f64 a a)) (.f64 (fma.f64 b b (.f64 a a)) (.f64 (-.f64 a b) (+.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 a a) a) a (.f64 (.f64 b b) (fma.f64 b b (.f64 a a)))) (-.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a)) (.f64 (.f64 (.f64 (.f64 b b) b) b) (*.f64 b b)))))
(/.f64 (.f64 (fma.f64 b b (.f64 a a)) (.f64 (-.f64 a b) (+.f64 b a))) (fma.f64 b b (.f64 a a)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a)) (.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 b b))) (fma.f64 (.f64 (.f64 a a) a) a (.f64 (.f64 b b) (fma.f64 b b (*.f64 a a)))))
(neg.f64 (*.f64 (+.f64 b a) (-.f64 b a)))
(fma.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)) (*.f64 (neg.f64 b) b))
(fma.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)) (*.f64 (neg.f64 b) b))
(fma.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)) (*.f64 (neg.f64 b) b))
(fma.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)) (*.f64 (neg.f64 b) b))
(fma.f64 (neg.f64 (fabs.f64 b)) (fabs.f64 b) (*.f64 a a))
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 b) (*.f64 a a))
(fma.f64 (fabs.f64 b) (neg.f64 (fabs.f64 b)) (*.f64 a a))
(fma.f64 (fabs.f64 a) (fabs.f64 a) (*.f64 (neg.f64 b) b))
(fma.f64 (neg.f64 b) (neg.f64 (neg.f64 b)) (*.f64 a a))
(fma.f64 (neg.f64 b) b (*.f64 a a))
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 (neg.f64 b) b))
(fma.f64 b (neg.f64 b) (*.f64 a a))
(fma.f64 a a (*.f64 (neg.f64 b) b))
(-.f64 (/.f64 (.f64 (.f64 (.f64 a a) a) a) (fma.f64 b b (.f64 a a))) (/.f64 (.f64 (.f64 (.f64 b b) b) b) (fma.f64 b b (.f64 a a))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a)) (fma.f64 (.f64 (.f64 a a) a) a (.f64 (.f64 b b) (fma.f64 b b (.f64 a a))))) (/.f64 (.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 b b)) (fma.f64 (.f64 (.f64 a a) a) a (.f64 (.f64 b b) (fma.f64 b b (.f64 a a))))))
(-.f64 (.f64 a a) (.f64 (neg.f64 (neg.f64 b)) b))
(-.f64 (.f64 a a) (.f64 b b))
(+.f64 (.f64 (neg.f64 b) b) (.f64 a a))
(+.f64 (.f64 a a) (.f64 (neg.f64 b) b))
(*.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)))
(*.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)))
(*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)))
(*.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)))
(*.f64 (fabs.f64 a) (fabs.f64 a))
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 a a)
(pow.f64 (fabs.f64 a) #s(literal 2 binary64))
(pow.f64 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 a) a))
(neg.f64 (*.f64 a (neg.f64 a)))
(fabs.f64 (*.f64 a a))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
a
(*.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)))
(*.f64 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b)))
(*.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)))
(*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 b b)
(pow.f64 (fabs.f64 b) #s(literal 2 binary64))
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 b) b))
(fabs.f64 (*.f64 b b))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
b

eval22.0ms (1.3%)

Memory: -25.7MiB live, 16.1MiB allocated; 13ms collecting garbage
Compiler: Compiled 2 095 to 431 computations (79.4% saved)

prune3.0ms (0.2%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	109	4	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	110	4	114

Accuracy

100.0%

Counts

114 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	0.5%	(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (*.f64 a a))))) (fabs.f64 a))
▶	0.0%	(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))
▶	0.3%	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
▶	1.9%	#s(approx (sqrt (- (* a a) (* b b))) (*.f64 #s(literal -1 binary64) a))

Compiler

Compiled 42 to 32 computations (23.8% saved)

series55.0ms (3.3%)

Memory

14.8MiB live, 62.3MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	954	6094

Stop Event

1×	iter-limit

Counts

20 → 171

Calls

Call 1

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

Outputs
#s(approx (sqrt (- (* a a) (* b b))) (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))))
#s(approx (sqrt (- (* a a) (* b b))) (+.f64 (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))))))
#s(approx (sqrt (- (* a a) (* b b))) (+.f64 (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) (.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))))))))
#s(approx (sqrt (- (* a a) (* b b))) (+.f64 (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) (.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))))))))
#s(approx (* -1 a) (*.f64 #s(literal -1 binary64) a))
#s(approx a a)
#s(approx (sqrt (* (- a b) (+ b a))) (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)))))
#s(approx (sqrt (* (- a b) (+ b a))) (+.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a (+.f64 b (.f64 #s(literal -1 binary64) b))) (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))))))))
#s(approx (sqrt (* (- a b) (+ b a))) (+.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)))) (.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 b (.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (sqrt.f64 (.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (.f64 #s(literal -1 binary64) b)) (sqrt.f64 (.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))))))))))
#s(approx (sqrt (* (- a b) (+ b a))) (+.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)))) (.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (.f64 #s(literal -1 binary64) b)) (sqrt.f64 (.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))))) (.f64 a (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 a (.f64 (+.f64 b (.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 b (.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 b (.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))))))))))))
#s(approx (* (- a b) (+ b a)) (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))))
#s(approx (* (- a b) (+ b a)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (.f64 a (+.f64 b (.f64 #s(literal -1 binary64) b)))))
#s(approx (* (- a b) (+ b a)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (.f64 a (+.f64 a (+.f64 b (.f64 #s(literal -1 binary64) b))))))
#s(approx (- a b) (*.f64 #s(literal -1 binary64) b))
#s(approx (- a b) (-.f64 a b))
#s(approx (+ b a) b)
#s(approx (+ b a) (+.f64 a b))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) (*.f64 (sqrt.f64 b) (sqrt.f64 (neg.f64 b))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 b) (sqrt.f64 (neg.f64 b))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 b)))) (.f64 (sqrt.f64 b) (sqrt.f64 (neg.f64 b)))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 b) (sqrt.f64 (neg.f64 b))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 b)) (.f64 a (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 b) (pow.f64 (sqrt.f64 (neg.f64 b)) #s(literal 3 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (neg.f64 b)) (pow.f64 (sqrt.f64 b) #s(literal 3 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 b) (sqrt.f64 (neg.f64 b)))))))))) (.f64 (sqrt.f64 b) (sqrt.f64 (neg.f64 b)))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 b) (sqrt.f64 (neg.f64 b))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 b)) (.f64 a (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 b) (pow.f64 (sqrt.f64 (neg.f64 b)) #s(literal 3 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (neg.f64 b)) (pow.f64 (sqrt.f64 b) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 b) (sqrt.f64 (neg.f64 b)))) (.f64 a (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 b) (pow.f64 (sqrt.f64 (neg.f64 b)) #s(literal 5 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (neg.f64 b)) (pow.f64 (sqrt.f64 b) #s(literal 5 binary64))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 b) (pow.f64 (sqrt.f64 (neg.f64 b)) #s(literal 3 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 b) #s(literal 3 binary64)) (sqrt.f64 (neg.f64 b)))))))))))))) (.f64 (sqrt.f64 b) (sqrt.f64 (neg.f64 b)))))
#s(approx (sqrt (+ b a)) (sqrt.f64 b))
#s(approx (sqrt (+ b a)) (+.f64 (sqrt.f64 b) (*.f64 #s(literal 1/2 binary64) (/.f64 a (sqrt.f64 b)))))
#s(approx (sqrt (+ b a)) (+.f64 (sqrt.f64 b) (.f64 a (fma.f64 #s(literal -1/8 binary64) (/.f64 a (pow.f64 (sqrt.f64 b) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 b)))))))
#s(approx (sqrt (+ b a)) (+.f64 (sqrt.f64 b) (.f64 a (fma.f64 a (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 a (pow.f64 (sqrt.f64 b) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 b) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 b)))))))
#s(approx (sqrt (- a b)) (sqrt.f64 (neg.f64 b)))
#s(approx (sqrt (- a b)) (+.f64 (sqrt.f64 (neg.f64 b)) (*.f64 #s(literal 1/2 binary64) (/.f64 a (sqrt.f64 (neg.f64 b))))))
#s(approx (sqrt (- a b)) (+.f64 (sqrt.f64 (neg.f64 b)) (.f64 a (fma.f64 #s(literal -1/8 binary64) (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 b)) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 b))))))))
#s(approx (sqrt (- a b)) (+.f64 (sqrt.f64 (neg.f64 b)) (.f64 a (fma.f64 a (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 b)) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (neg.f64 b)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 b))))))))
#s(approx (* (sqrt (- 1 (* b (/ b (* a a))))) (fabs a)) (/.f64 (*.f64 (fabs.f64 a) (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) a))
#s(approx (* (sqrt (- 1 (* b (/ b (* a a))))) (fabs a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a #s(literal 2 binary64)) (fabs.f64 a)) (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (.f64 (fabs.f64 a) (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))))) a))
#s(approx (* (sqrt (- 1 (* b (/ b (* a a))))) (fabs a)) (/.f64 (fma.f64 (fabs.f64 a) (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) (.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a #s(literal 2 binary64)) (fabs.f64 a)) (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 a) (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))))))) a))
#s(approx (* (sqrt (- 1 (* b (/ b (* a a))))) (fabs a)) (/.f64 (fma.f64 (fabs.f64 a) (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) (.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 a) (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (fabs.f64 a) (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) #s(literal 3 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 a #s(literal 2 binary64)) (fabs.f64 a)) (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) #s(literal 5 binary64))))))))) a))
#s(approx (sqrt (- 1 (* b (/ b (* a a))))) (/.f64 (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) a))
#s(approx (sqrt (- 1 (* b (/ b (* a a))))) (/.f64 (+.f64 (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))))) a))
#s(approx (sqrt (- 1 (* b (/ b (* a a))))) (/.f64 (+.f64 (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) (.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))))))) a))
#s(approx (sqrt (- 1 (* b (/ b (* a a))))) (/.f64 (+.f64 (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) (.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))))))) a))
#s(approx (- 1 (* 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 (- 1 (* b (/ b (* a a)))) (/.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 (* b (/ b (* a a))) (/.f64 (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 (fabs a) (fabs.f64 a))
#s(approx (sqrt (- (* a a) (* b b))) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))))
#s(approx (sqrt (- (* a a) (* b b))) (.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))))))
#s(approx (sqrt (- (* a a) (* b b))) (.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))))))))
#s(approx (sqrt (* (- a b) (+ b a))) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) a)))))
#s(approx (sqrt (* (- a b) (+ b a))) (.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (.f64 #s(literal -1 binary64) b)) a) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 b (.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64))))))))
#s(approx (sqrt (* (- a b) (+ b a))) (.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (+.f64 b (.f64 #s(literal -1 binary64) b)) (-.f64 (.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 b (.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64))))) (pow.f64 a #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (.f64 #s(literal -1 binary64) b)) a) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64)))))))))
#s(approx (* (- a b) (+ b a)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 b a) (/.f64 b a)))))
#s(approx (* (- a b) (+ b a)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 b a) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (/.f64 b a))))))
#s(approx (- a b) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 b a)))))
#s(approx (+ b a) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 2 binary64))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b (pow.f64 a #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 b (pow.f64 a #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 2 binary64))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) (.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b (pow.f64 a #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 b (pow.f64 a #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 2 binary64)))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) (.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b (pow.f64 a #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 3 binary64)) (.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 b #s(literal 3 binary64)) (.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 b (pow.f64 a #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ b a)) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
#s(approx (sqrt (+ b a)) (.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/2 binary64) (/.f64 b (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))))
#s(approx (sqrt (+ b a)) (.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 b (.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))))))
#s(approx (sqrt (+ b a)) (.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 3 binary64)) (.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 b (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))))))
#s(approx (sqrt (- a b)) (.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))))
#s(approx (sqrt (- a b)) (.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b (.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64)))))))))
#s(approx (sqrt (- a b)) (.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b (.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 5 binary64))))))))))
#s(approx (* (sqrt (- 1 (* b (/ b (* a a))))) (fabs a)) (+.f64 (fabs.f64 a) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 b #s(literal 2 binary64)) (fabs.f64 a)) (pow.f64 a #s(literal 2 binary64))))))
#s(approx (* (sqrt (- 1 (* b (/ b (* a a))))) (fabs a)) (+.f64 (fabs.f64 a) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 b #s(literal 2 binary64)) (fabs.f64 a)) (pow.f64 a #s(literal 2 binary64))) (.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (fabs.f64 a)) (pow.f64 a #s(literal 4 binary64)))))))
#s(approx (* (sqrt (- 1 (* b (/ b (* a a))))) (fabs a)) (+.f64 (fabs.f64 a) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 b #s(literal 2 binary64)) (fabs.f64 a)) (pow.f64 a #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) (fabs.f64 a)) (pow.f64 a #s(literal 4 binary64))) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (pow.f64 b #s(literal 6 binary64)) (fabs.f64 a)) (pow.f64 a #s(literal 6 binary64))))))))
#s(approx (sqrt (- 1 (* b (/ b (* a a))))) #s(literal 1 binary64))
#s(approx (sqrt (- 1 (* b (/ b (* a a))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))
#s(approx (sqrt (- 1 (* b (/ b (* a a))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))))))
#s(approx (sqrt (- 1 (* b (/ b (* a a))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))))))
#s(approx (- 1 (* 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 (sqrt (- (* a a) (* b b))) (.f64 #s(literal -1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))))
#s(approx (sqrt (- (* a a) (* b b))) (.f64 #s(literal -1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))))))))
#s(approx (sqrt (- (* a a) (* b b))) (.f64 #s(literal -1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))))))))
#s(approx (sqrt (* (- a b) (+ b a))) (.f64 #s(literal -1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (.f64 #s(literal -1 binary64) b)) a))))))
#s(approx (sqrt (* (- a b) (+ b a))) (.f64 #s(literal -1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 b (.f64 #s(literal -1 binary64) b)) (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 b (.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)))) a))) a))))))
#s(approx (sqrt (* (- a b) (+ b a))) (.f64 #s(literal -1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (+.f64 b (.f64 #s(literal -1 binary64) b)) (-.f64 (.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 b (.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64))))) a) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 b (.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)))))) a) (.f64 #s(literal -1/2 binary64) (+.f64 b (.f64 #s(literal -1 binary64) b)))) a))))))
#s(approx (* (- a b) (+ b a)) (.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 b (*.f64 #s(literal -1 binary64) b)) (/.f64 (pow.f64 b #s(literal 2 binary64)) a)) a)))))
#s(approx (- a b) (.f64 #s(literal -1 binary64) (.f64 a (-.f64 (/.f64 b a) #s(literal 1 binary64)))))
#s(approx (+ b a) (.f64 #s(literal -1 binary64) (.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64)))))
#s(approx (sqrt (+ b a)) (.f64 #s(literal -1 binary64) (.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
#s(approx (sqrt (+ b a)) (.f64 #s(literal -1 binary64) (.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/2 binary64) (/.f64 b (.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))))))
#s(approx (sqrt (+ b a)) (.f64 #s(literal -1 binary64) (.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 b (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))))))
#s(approx (sqrt (+ b a)) (.f64 #s(literal -1 binary64) (.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 3 binary64)) (.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 b (.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))))))))
#s(approx (sqrt (- a b)) (.f64 #s(literal -1 binary64) (.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal -1/2 binary64) (/.f64 b (.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))))))
#s(approx (sqrt (- a b)) (.f64 #s(literal -1 binary64) (.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b (.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))))))))))
#s(approx (sqrt (- a b)) (.f64 #s(literal -1 binary64) (.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b (.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 3 binary64)) (.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 5 binary64)))))))))))
#s(approx (sqrt (- (* a a) (* b b))) (sqrt.f64 (pow.f64 a #s(literal 2 binary64))))
#s(approx (sqrt (- (* a a) (* b b))) (+.f64 (sqrt.f64 (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 (pow.f64 a #s(literal 2 binary64)))))))
#s(approx (sqrt (- (* a a) (* b b))) (+.f64 (sqrt.f64 (pow.f64 a #s(literal 2 binary64))) (.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 a #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 a #s(literal 2 binary64)))))))))
#s(approx (sqrt (- (* a a) (* b b))) (+.f64 (sqrt.f64 (pow.f64 a #s(literal 2 binary64))) (.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 a #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 a #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 a #s(literal 2 binary64)))))))))
#s(approx (sqrt (* (- a b) (+ b a))) (+.f64 (sqrt.f64 (pow.f64 a #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b (+.f64 a (*.f64 #s(literal -1 binary64) a))) (sqrt.f64 (pow.f64 a #s(literal 2 binary64)))))))
#s(approx (sqrt (* (- a b) (+ b a))) (+.f64 (sqrt.f64 (pow.f64 a #s(literal 2 binary64))) (.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 a #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 a #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (.f64 #s(literal -1 binary64) a)) (sqrt.f64 (pow.f64 a #s(literal 2 binary64)))))))))
#s(approx (sqrt (* (- a b) (+ b a))) (+.f64 (sqrt.f64 (pow.f64 a #s(literal 2 binary64))) (.f64 b (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (.f64 #s(literal -1 binary64) a)) (sqrt.f64 (pow.f64 a #s(literal 2 binary64)))) (.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 a #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 a #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 b (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 a #s(literal 2 binary64))) #s(literal 2 binary64))))) (+.f64 a (*.f64 #s(literal -1 binary64) a)))) (pow.f64 (sqrt.f64 (pow.f64 a #s(literal 2 binary64))) #s(literal 3 binary64))))))))))
#s(approx (* (- a b) (+ b a)) (fma.f64 b (+.f64 a (*.f64 #s(literal -1 binary64) a)) (pow.f64 a #s(literal 2 binary64))))
#s(approx (* (- a b) (+ b a)) (fma.f64 b (+.f64 a (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal -1 binary64) b))) (pow.f64 a #s(literal 2 binary64))))
#s(approx (- a b) (+.f64 a (*.f64 #s(literal -1 binary64) b)))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) (pow.f64 (sqrt.f64 a) #s(literal 2 binary64)))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 a) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 a) #s(literal 2 binary64))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) (fma.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 a) #s(literal 6 binary64)))) (.f64 #s(literal 9/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 a) #s(literal 6 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 a) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 a) #s(literal 2 binary64))))
#s(approx (sqrt (+ b a)) (sqrt.f64 a))
#s(approx (sqrt (+ b a)) (+.f64 (sqrt.f64 a) (*.f64 #s(literal 1/2 binary64) (/.f64 b (sqrt.f64 a)))))
#s(approx (sqrt (+ b a)) (+.f64 (sqrt.f64 a) (.f64 b (fma.f64 #s(literal -1/8 binary64) (/.f64 b (pow.f64 (sqrt.f64 a) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)))))))
#s(approx (sqrt (+ b a)) (+.f64 (sqrt.f64 a) (.f64 b (fma.f64 b (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 b (pow.f64 (sqrt.f64 a) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 a) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)))))))
#s(approx (sqrt (- a b)) (+.f64 (sqrt.f64 a) (*.f64 #s(literal -1/2 binary64) (/.f64 b (sqrt.f64 a)))))
#s(approx (sqrt (- a b)) (+.f64 (sqrt.f64 a) (.f64 b (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 b (pow.f64 (sqrt.f64 a) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)))))))
#s(approx (sqrt (- a b)) (+.f64 (sqrt.f64 a) (.f64 b (-.f64 (.f64 b (-.f64 (.f64 #s(literal -1/16 binary64) (/.f64 b (pow.f64 (sqrt.f64 a) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 a) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)))))))
#s(approx (* (sqrt (- 1 (* b (/ b (* a a))))) (fabs a)) (+.f64 (fabs.f64 a) (.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fabs.f64 a) (pow.f64 a #s(literal 2 binary64))) (.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 2 binary64)) (fabs.f64 a)) (pow.f64 a #s(literal 4 binary64))))))))
#s(approx (* (sqrt (- 1 (* b (/ b (* a a))))) (fabs a)) (+.f64 (fabs.f64 a) (.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fabs.f64 a) (pow.f64 a #s(literal 2 binary64))) (.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (fabs.f64 a) (pow.f64 a #s(literal 4 binary64))) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (pow.f64 b #s(literal 2 binary64)) (fabs.f64 a)) (pow.f64 a #s(literal 6 binary64))))))))))
#s(approx (sqrt (- 1 (* b (/ b (* a a))))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64))))))))
#s(approx (sqrt (- 1 (* b (/ b (* a a))))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 6 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64))))))))
#s(approx (sqrt (- (* a a) (* b b))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (- (* a a) (* b b))) (.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
#s(approx (sqrt (- (* a a) (* b b))) (.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))
#s(approx (sqrt (- (* a a) (* b b))) (.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))))
#s(approx (sqrt (* (- a b) (+ b a))) (.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (.f64 #s(literal -1 binary64) a)) (.f64 b (sqrt.f64 #s(literal -1 binary64))))))))
#s(approx (sqrt (* (- a b) (+ b a))) (.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (.f64 #s(literal -1 binary64) a)) (.f64 b (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))
#s(approx (sqrt (* (- a b) (+ b a))) (.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (+.f64 a (.f64 #s(literal -1 binary64) a)) (-.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (.f64 #s(literal -1 binary64) a)) (.f64 b (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))))
#s(approx (* (- a b) (+ b a)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 a b) (/.f64 a b)) #s(literal 1 binary64))))
#s(approx (* (- a b) (+ b a)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 a b) (+.f64 (/.f64 a b) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64))))
#s(approx (- a b) (*.f64 b (-.f64 (/.f64 a b) #s(literal 1 binary64))))
#s(approx (+ b a) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) (.f64 (pow.f64 b #s(literal 2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) (.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a (sqrt.f64 (/.f64 #s(literal -1 binary64) b))) (.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) b))) (.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) b)))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) (.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) b))) (.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal 3 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b))) (.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) b)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a (sqrt.f64 (/.f64 #s(literal -1 binary64) b))) (.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) b))) (.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) b)))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b))))))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) (.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) b))) (.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal 3 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b))) (.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) b)) #s(literal 3 binary64)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 a #s(literal 3 binary64)) (.f64 (pow.f64 b #s(literal 6 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) b)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal 3 binary64))))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 a #s(literal 3 binary64)) (.f64 (pow.f64 b #s(literal 6 binary64)) (.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) b)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) b))) (.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b))) (.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) b)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a (sqrt.f64 (/.f64 #s(literal -1 binary64) b))) (.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) b))) (.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) b)))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b))))))))))))))
#s(approx (sqrt (+ b a)) (*.f64 b (sqrt.f64 (/.f64 #s(literal 1 binary64) b))))
#s(approx (sqrt (+ b a)) (.f64 b (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b))))))))
#s(approx (sqrt (+ b a)) (.f64 b (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))))))))
#s(approx (sqrt (+ b a)) (.f64 b (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 3 binary64)) (.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b))))))))))
#s(approx (sqrt (- a b)) (*.f64 b (sqrt.f64 (/.f64 #s(literal -1 binary64) b))))
#s(approx (sqrt (- a b)) (.f64 b (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) b)) (.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) b))))))))
#s(approx (sqrt (- a b)) (.f64 b (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) b)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) b)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) b)))))))))
#s(approx (sqrt (- a b)) (.f64 b (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) b)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) b)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 3 binary64)) (.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) b)) #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) b))))))))))
#s(approx (* (sqrt (- 1 (* b (/ b (* a a))))) (fabs a)) (.f64 b (.f64 (fabs.f64 a) (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64))))))))
#s(approx (* (sqrt (- 1 (* b (/ b (* a a))))) (fabs a)) (.f64 b (fma.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 a) (.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64))))))) (*.f64 (fabs.f64 a) (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
#s(approx (* (sqrt (- 1 (* b (/ b (* a a))))) (fabs a)) (.f64 b (fma.f64 #s(literal -1/8 binary64) (/.f64 (fabs.f64 a) (.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64))))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 a) (.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64))))))) (.f64 (fabs.f64 a) (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64))))))))))
#s(approx (* (sqrt (- 1 (* b (/ b (* a a))))) (fabs a)) (.f64 b (fma.f64 #s(literal -1/8 binary64) (/.f64 (fabs.f64 a) (.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64))))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (fabs.f64 a) (.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64))))) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 a) (.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64))))))) (*.f64 (fabs.f64 a) (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64)))))))))))
#s(approx (sqrt (- 1 (* b (/ b (* a a))))) (*.f64 b (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64)))))))
#s(approx (sqrt (- 1 (* b (/ b (* a a))))) (.f64 b (+.f64 (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64)))))))))))
#s(approx (sqrt (- 1 (* b (/ b (* a a))))) (.f64 b (-.f64 (+.f64 (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64)))))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64))))) #s(literal 3 binary64)))))))
#s(approx (sqrt (- 1 (* b (/ b (* a a))))) (.f64 b (-.f64 (+.f64 (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64))))))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64))))) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64))))) #s(literal 3 binary64))))))))
#s(approx (- 1 (* 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 (sqrt (- (* a a) (* b b))) (.f64 #s(literal -1 binary64) (.f64 b (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (sqrt (- (* a a) (* b b))) (.f64 #s(literal -1 binary64) (.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))
#s(approx (sqrt (- (* a a) (* b b))) (.f64 #s(literal -1 binary64) (.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))))
#s(approx (sqrt (- (* a a) (* b b))) (.f64 #s(literal -1 binary64) (.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))))
#s(approx (sqrt (* (- a b) (+ b a))) (.f64 #s(literal -1 binary64) (.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 a (.f64 #s(literal -1 binary64) a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))))))))
#s(approx (sqrt (* (- a b) (+ b a))) (.f64 #s(literal -1 binary64) (.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 b (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (.f64 #s(literal -1 binary64) a)) (sqrt.f64 #s(literal -1 binary64))))) b))))))
#s(approx (sqrt (* (- a b) (+ b a))) (.f64 #s(literal -1 binary64) (.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (+.f64 a (.f64 #s(literal -1 binary64) a)) (-.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (.f64 b (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal -1 binary64))))) b) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) (sqrt.f64 #s(literal -1 binary64))))) b))))))
#s(approx (* (- a b) (+ b a)) (.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) b)) #s(literal 1 binary64))))
#s(approx (* (- a b) (+ b a)) (.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 a (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) b)))) b)) #s(literal 1 binary64))))
#s(approx (- a b) (.f64 #s(literal -1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 a b))))))
#s(approx (+ b a) (.f64 #s(literal -1 binary64) (.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) #s(literal 1 binary64)))))
#s(approx (sqrt (+ b a)) (.f64 #s(literal -1 binary64) (.f64 b (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))))
#s(approx (sqrt (+ b a)) (.f64 #s(literal -1 binary64) (.f64 b (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))))))))
#s(approx (sqrt (+ b a)) (.f64 #s(literal -1 binary64) (.f64 b (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b))))))))))
#s(approx (sqrt (+ b a)) (.f64 #s(literal -1 binary64) (.f64 b (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 3 binary64)) (.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))))))))))
#s(approx (sqrt (- a b)) (.f64 #s(literal -1 binary64) (.f64 b (sqrt.f64 (/.f64 #s(literal -1 binary64) b)))))
#s(approx (sqrt (- a b)) (.f64 #s(literal -1 binary64) (.f64 b (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) b)) (.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) b)))))))))
#s(approx (sqrt (- a b)) (.f64 #s(literal -1 binary64) (.f64 b (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) b)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) b)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) b))))))))))
#s(approx (sqrt (- a b)) (.f64 #s(literal -1 binary64) (.f64 b (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) b)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) b)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 3 binary64)) (.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) b)) #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) b)))))))))))
#s(approx (* (sqrt (- 1 (* b (/ b (* a a))))) (fabs a)) (.f64 #s(literal -1 binary64) (.f64 b (*.f64 (fabs.f64 a) (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
#s(approx (* (sqrt (- 1 (* b (/ b (* a a))))) (fabs a)) (.f64 #s(literal -1 binary64) (.f64 b (fma.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 a) (.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64))))))) (.f64 (fabs.f64 a) (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64))))))))))
#s(approx (* (sqrt (- 1 (* b (/ b (* a a))))) (fabs a)) (.f64 #s(literal -1 binary64) (.f64 b (fma.f64 #s(literal -1/8 binary64) (/.f64 (fabs.f64 a) (.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64))))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 a) (.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64))))))) (*.f64 (fabs.f64 a) (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64)))))))))))
#s(approx (* (sqrt (- 1 (* b (/ b (* a a))))) (fabs a)) (.f64 #s(literal -1 binary64) (.f64 b (fma.f64 #s(literal -1/8 binary64) (/.f64 (fabs.f64 a) (.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64))))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (fabs.f64 a) (.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64))))) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 a) (.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64))))))) (.f64 (fabs.f64 a) (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64))))))))))))
#s(approx (sqrt (- 1 (* b (/ b (* a a))))) (.f64 #s(literal -1 binary64) (.f64 b (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64))))))))
#s(approx (sqrt (- 1 (* b (/ b (* a a))))) (.f64 #s(literal -1 binary64) (.f64 b (+.f64 (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64))))))))))))
#s(approx (sqrt (- 1 (* b (/ b (* a a))))) (.f64 #s(literal -1 binary64) (.f64 b (-.f64 (+.f64 (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64)))))))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64))))) #s(literal 3 binary64))))))))
#s(approx (sqrt (- 1 (* b (/ b (* a a))))) (.f64 #s(literal -1 binary64) (.f64 b (-.f64 (+.f64 (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64))))))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64))))) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64))))) #s(literal 3 binary64)))))))))

Calls

6 calls:

Time	Variable	Point
7.0ms	b	inf
5.0ms	a	inf
4.0ms	a	0
4.0ms	b	0
3.0ms	b	-inf

rewrite187.0ms (11%)

Memory

17.1MiB live, 203.7MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	106
0	39	109
1	156	109
2	1388	64
0	9043	64

Stop Event

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

Counts

20 → 2 470

Calls

Call 1

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

Outputs
#s(approx (sqrt (- (* a a) (* b b))) a)
a
#s(literal -1 binary64)
a
(*.f64 (sqrt.f64 (+.f64 (fabs.f64 b) a)) (sqrt.f64 (-.f64 (fabs.f64 b) a)))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (*.f64 b b)))) (fabs.f64 b))
(.f64 (sqrt.f64 (.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a)) (sqrt.f64 a))
(.f64 (sqrt.f64 (.f64 (-.f64 b a) (/.f64 (-.f64 b a) a))) (sqrt.f64 a))
(.f64 (sqrt.f64 (.f64 (-.f64 b a) (/.f64 (-.f64 b a) b))) (sqrt.f64 b))
(*.f64 (sqrt.f64 (+.f64 a (fabs.f64 b))) (sqrt.f64 (-.f64 a (fabs.f64 b))))
(.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 b a) a) (.f64 (-.f64 b a) b)))) (sqrt.f64 (.f64 (-.f64 b a) b)))
(.f64 (pow.f64 (.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) #s(literal 1/2 binary64)) (sqrt.f64 a))
(.f64 (pow.f64 (.f64 (-.f64 b a) (/.f64 (-.f64 b a) a)) #s(literal 1/2 binary64)) (sqrt.f64 a))
(.f64 (pow.f64 (.f64 (-.f64 b a) (/.f64 (-.f64 b a) b)) #s(literal 1/2 binary64)) (sqrt.f64 b))
(*.f64 (pow.f64 (+.f64 a (fabs.f64 b)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 a (fabs.f64 b)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 b a) a) (.f64 (-.f64 b a) b))) #s(literal 1/2 binary64)) (pow.f64 (.f64 (-.f64 b a) b) #s(literal 1/2 binary64)))
(.f64 (/.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b))) (-.f64 b a))
(.f64 (/.f64 (fma.f64 a a (.f64 b b)) (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b))) (fma.f64 (-.f64 b a) a (.f64 b b)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) a)
(.f64 (/.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal 1 binary64)) (/.f64 (-.f64 b a) b)) (*.f64 a (/.f64 a b)))
(*.f64 (/.f64 (-.f64 b a) (/.f64 (-.f64 b a) b)) (/.f64 (-.f64 b a) b))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 b a))) (neg.f64 (sqrt.f64 (-.f64 b a))))
(.f64 (hypot.f64 (.f64 (.f64 a a) a) (.f64 (.f64 b b) b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 a a) a) a (.f64 (.f64 b b) (fma.f64 a a (.f64 b b)))))))
(.f64 (hypot.f64 (.f64 (.f64 a a) a) (.f64 (.f64 b b) b)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 a a) a) a (.f64 (.f64 b b) (fma.f64 a a (.f64 b b))))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (/.f64 (-.f64 b a) a)) (sqrt.f64 (.f64 (-.f64 b a) a)))
(.f64 (sqrt.f64 (/.f64 (-.f64 b a) a)) (pow.f64 (.f64 (-.f64 b a) a) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (/.f64 (-.f64 b a) b)) (sqrt.f64 (.f64 (-.f64 b a) b)))
(.f64 (sqrt.f64 (/.f64 (-.f64 b a) b)) (pow.f64 (.f64 (-.f64 b a) b) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (-.f64 b a) b) b)
(.f64 (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(.f64 (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 b a) a (*.f64 b b))))
(*.f64 (/.f64 (-.f64 b a) a) a)
(.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal 1 binary64)) (/.f64 (*.f64 a a) (-.f64 b a)))
(*.f64 (sqrt.f64 (-.f64 b a)) (sqrt.f64 (-.f64 b a)))
(.f64 (fma.f64 a a (.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))))
(.f64 (fma.f64 a a (.f64 b b)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #s(literal 1/2 binary64)))
(.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(*.f64 (-.f64 b a) (/.f64 (-.f64 b a) (-.f64 b a)))
(*.f64 b (/.f64 (-.f64 b a) b))
(*.f64 a (/.f64 (-.f64 b a) a))
(pow.f64 (exp.f64 (log.f64 (fma.f64 a a (*.f64 b b)))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 b a) (fma.f64 a a (*.f64 b b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 b a) a (.f64 b b)) (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b))) #s(literal -1 binary64))
(pow.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b))) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (-.f64 b a)) #s(literal 2 binary64))
(pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 1/2 binary64))
(pow.f64 (-.f64 b a) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 b b) (-.f64 b a)) (/.f64 (.f64 b b) (-.f64 b a))) (.f64 (/.f64 (.f64 a a) (-.f64 b a)) (/.f64 (.f64 a a) (-.f64 b a)))) (-.f64 b a))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 a a) a) (fma.f64 (-.f64 b a) b (.f64 a a))) (/.f64 (.f64 (.f64 a a) a) (fma.f64 (-.f64 b a) b (.f64 a a)))) (.f64 (/.f64 (.f64 (.f64 b b) b) (fma.f64 (-.f64 b a) b (.f64 a a))) (/.f64 (.f64 (.f64 b b) b) (fma.f64 (-.f64 b a) b (.f64 a a))))) (-.f64 b a))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 a a) (-.f64 b a)) (/.f64 (.f64 a a) (-.f64 b a))) (.f64 (/.f64 (.f64 b b) (-.f64 b a)) (/.f64 (.f64 b b) (-.f64 b a)))) (-.f64 b a))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (.f64 b b) b) (fma.f64 (-.f64 b a) a (.f64 b b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 a a) a) (fma.f64 (-.f64 b a) a (.f64 b b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 b b) b) (fma.f64 (-.f64 b a) a (.f64 b b))) (/.f64 (.f64 (.f64 b b) b) (fma.f64 (-.f64 b a) a (.f64 b b))) (-.f64 (.f64 (/.f64 (.f64 (.f64 a a) a) (fma.f64 (-.f64 b a) a (.f64 b b))) (/.f64 (.f64 (.f64 a a) a) (fma.f64 (-.f64 b a) a (.f64 b b)))) (.f64 (/.f64 (.f64 (.f64 b b) b) (fma.f64 (-.f64 b a) a (.f64 b b))) (/.f64 (.f64 (.f64 a a) a) (fma.f64 (-.f64 b a) a (.f64 b b)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (-.f64 b a) b) (-.f64 b a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (-.f64 b a) a) (-.f64 b a)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (-.f64 b a) b) (-.f64 b a)) (/.f64 (.f64 (-.f64 b a) b) (-.f64 b a)) (-.f64 (.f64 (/.f64 (.f64 (-.f64 b a) a) (-.f64 b a)) (/.f64 (.f64 (-.f64 b a) a) (-.f64 b a))) (.f64 (/.f64 (.f64 (-.f64 b a) b) (-.f64 b a)) (/.f64 (.f64 (-.f64 b a) a) (-.f64 b a))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 a a) (-.f64 b a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 b b) (-.f64 b a)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 a a) (-.f64 b a)) (/.f64 (.f64 a a) (-.f64 b a)) (-.f64 (.f64 (/.f64 (.f64 b b) (-.f64 b a)) (/.f64 (.f64 b b) (-.f64 b a))) (.f64 (/.f64 (.f64 a a) (-.f64 b a)) (/.f64 (.f64 b b) (-.f64 b a))))))
(/.f64 (fma.f64 (neg.f64 b) (.f64 b b) (.f64 (.f64 a a) a)) (fma.f64 b b (-.f64 (.f64 a a) (*.f64 (neg.f64 b) a))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 b b) (-.f64 b a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 a a) (-.f64 b a)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 b b) (-.f64 b a)) (/.f64 (.f64 b b) (-.f64 b a)) (fma.f64 (/.f64 (.f64 a a) (-.f64 b a)) (/.f64 (.f64 a a) (-.f64 b a)) (.f64 (/.f64 (.f64 b b) (-.f64 b a)) (/.f64 (*.f64 a a) (-.f64 b a))))))
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a

eval182.0ms (10.7%)

Memory: -39.7MiB live, 157.9MiB allocated; 96ms collecting garbage
Compiler: Compiled 37 140 to 4 693 computations (87.4% saved)

prune18.0ms (1.1%)

Memory

37.7MiB live, 37.7MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	1 329	3	1 332
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	1 330	6	1 336

Accuracy

100.0%

Counts

1 336 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(-.f64 b a)
▶	0.0%	(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b a) b) a))) (fabs.f64 a))
✓	0.0%	(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))
✓	0.3%	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
✓	1.9%	#s(approx (sqrt (- (* a a) (* b b))) (*.f64 #s(literal -1 binary64) a))
▶	4.9%	#s(approx (sqrt (- (* a a) (* b b))) a)

Compiler

Compiled 55 to 42 computations (23.6% saved)

series21.0ms (1.2%)

Memory

-23.3MiB live, 23.6MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	343	2463

Stop Event

1×	iter-limit

Counts

12 → 74

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
3.0ms	a	inf
2.0ms	b	inf
2.0ms	b	-inf
2.0ms	a	-inf
1.0ms	a	0

rewrite60.0ms (3.5%)

Memory

-9.2MiB live, 44.0MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	65
0	24	65
1	118	51
0	1148	51

Stop Event

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

Counts

12 → 178

Calls

Call 1

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

Outputs
#s(approx (sqrt (- (* a a) (* b b))) a)
a
(.f64 (pow.f64 (.f64 (-.f64 a b) (+.f64 b a)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 a b) (+.f64 b a)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))
(*.f64 (pow.f64 (+.f64 b a) #s(literal 1/2 binary64)) (pow.f64 (-.f64 a b) #s(literal 1/2 binary64)))
(.f64 (fabs.f64 a) (sqrt.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))))) (fabs.f64 a))
(pow.f64 (*.f64 (-.f64 a b) (+.f64 b a)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (.f64 (fma.f64 b b (.f64 a a)) (.f64 (-.f64 a b) (+.f64 b a)))) (sqrt.f64 (fma.f64 b b (.f64 a a))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)))) (sqrt.f64 (fma.f64 (.f64 (.f64 a a) a) a (.f64 (.f64 b b) (fma.f64 b b (*.f64 a a))))))
(sqrt.f64 (.f64 (sqrt.f64 (.f64 (-.f64 a b) (+.f64 b a))) (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))))
(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))))
(fabs.f64 (.f64 (neg.f64 a) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (*.f64 a a)))))))
(fabs.f64 (.f64 a (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (*.f64 a a)))))))
(fabs.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (*.f64 a a))))) (neg.f64 a)))
(fabs.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (*.f64 a a))))) a))
(fabs.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a))))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 a b) (+.f64 b a))) #s(literal 1/2 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 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (*.f64 a a))))) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (*.f64 a a))))) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a)))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 a (*.f64 (/.f64 b a) b))) (sqrt.f64 a))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 b (/.f64 b (.f64 a a))) (.f64 b (/.f64 b (.f64 a a)))))) (sqrt.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 (.f64 b (/.f64 b (.f64 a a)))) #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 (.f64 b (/.f64 b (.f64 a a))) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(sin.f64 (acos.f64 (/.f64 b a)))
(sqrt.f64 (.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)))))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a)))))
(cos.f64 (asin.f64 (/.f64 b a)))
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a)))))))
(fabs.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a))))))
(exp.f64 (.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (*.f64 a a))))) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 b (/.f64 b (*.f64 a a)))) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (-.f64 a (.f64 (/.f64 b a) b)) (/.f64 #s(literal 1 binary64) a))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 b (/.f64 b (.f64 a a))) (.f64 b (/.f64 b (.f64 a a))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))))
(.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 (.f64 b (/.f64 b (.f64 a a)))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b (/.f64 b (.f64 a a))) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (*.f64 a a)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (*.f64 a a)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 a)) (.f64 (neg.f64 b) (/.f64 b a))) (neg.f64 a))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 a (.f64 b b)) a)) #s(literal 1 binary64)) (.f64 (/.f64 a (*.f64 b b)) a))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 a a)) (.f64 b b)) (.f64 a a))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (.f64 b (/.f64 b (.f64 a a)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 b (/.f64 b (.f64 a a))) (.f64 b (/.f64 b (.f64 a a)))) (.f64 #s(literal 1 binary64) (neg.f64 (.f64 b (/.f64 b (.f64 a a))))))))
(/.f64 (neg.f64 (-.f64 a (*.f64 (/.f64 b a) b))) (neg.f64 a))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 b (/.f64 b (.f64 a a))) (.f64 b (/.f64 b (.f64 a a)))))) (neg.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 (.f64 b (/.f64 b (.f64 a a)))) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (.f64 b (/.f64 b (.f64 a a))) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 a (*.f64 (/.f64 b a) b)) a)
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 b (/.f64 b (.f64 a a))) (.f64 b (/.f64 b (.f64 a a))))) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 (.f64 b (/.f64 b (.f64 a a)))) #s(literal 3 binary64)))) (fma.f64 (.f64 b (/.f64 b (.f64 a a))) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 a (*.f64 (/.f64 b a) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 b (/.f64 b (.f64 a a))) (.f64 b (/.f64 b (.f64 a a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 b (/.f64 b (.f64 a a))) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 (.f64 (log.f64 (.f64 b (/.f64 b (.f64 a a)))) #s(literal 3 binary64))))))
(neg.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 (neg.f64 (/.f64 b a)) (/.f64 b a) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 b) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 b a) b) (neg.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))
(-.f64 (/.f64 a a) (.f64 b (/.f64 b (.f64 a a))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 b (/.f64 b (.f64 a a))) (.f64 b (/.f64 b (.f64 a a)))) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b (/.f64 b (.f64 a a))) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal 3 binary64)) (fma.f64 (.f64 b (/.f64 b (.f64 a a))) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a))))
(+.f64 (neg.f64 (.f64 b (/.f64 b (.f64 a a)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (.f64 b (/.f64 b (.f64 a a)))))
#s(literal 1 binary64)
(*.f64 (/.f64 (fabs.f64 b) (neg.f64 a)) (/.f64 (fabs.f64 b) (neg.f64 a)))
(*.f64 (/.f64 (fabs.f64 b) (fabs.f64 a)) (/.f64 (fabs.f64 b) (fabs.f64 a)))
(*.f64 (/.f64 (fabs.f64 b) a) (/.f64 (fabs.f64 b) a))
(*.f64 (/.f64 (neg.f64 b) (fabs.f64 a)) (/.f64 (neg.f64 b) (fabs.f64 a)))
(*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a))
(*.f64 (/.f64 b (neg.f64 a)) (/.f64 b (neg.f64 a)))
(*.f64 (/.f64 b (fabs.f64 a)) (/.f64 b (fabs.f64 a)))
(.f64 (/.f64 (.f64 (/.f64 b a) b) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 b a) #s(literal 1 binary64)) (/.f64 (/.f64 b a) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) b)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (fabs.f64 (/.f64 b a)) (fabs.f64 (/.f64 b a)))
(*.f64 (neg.f64 (/.f64 b a)) (neg.f64 (/.f64 b a)))
(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (/.f64 b a) b))
(.f64 (.f64 (neg.f64 b) (/.f64 b a)) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
(.f64 (fabs.f64 b) (/.f64 (fabs.f64 b) (.f64 a a)))
(.f64 (neg.f64 b) (/.f64 (neg.f64 b) (.f64 a a)))
(.f64 (.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64))
(.f64 (.f64 (/.f64 b a) b) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 b a) b) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 b a) (/.f64 (/.f64 b a) #s(literal 1 binary64)))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (*.f64 a a))))
(.f64 (.f64 b b) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a)))
(.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(.f64 b (.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) a)))
(.f64 b (.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a)))
(.f64 b (/.f64 b (.f64 a a)))
(*.f64 b (/.f64 (/.f64 b a) a))
(pow.f64 (.f64 (/.f64 a (.f64 b b)) a) #s(literal -1 binary64))
(pow.f64 (/.f64 b a) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 b a) #s(literal 1 binary64)) (/.f64 a b))
(/.f64 (/.f64 (*.f64 b b) (fabs.f64 a)) (fabs.f64 a))
(/.f64 (.f64 (.f64 (/.f64 b a) b) #s(literal 1 binary64)) a)
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 b) (/.f64 b a))) (neg.f64 a))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 b a) b)) a)
(/.f64 (.f64 (.f64 b b) #s(literal 1 binary64)) (*.f64 a a))
(/.f64 (.f64 (neg.f64 b) #s(literal 1 binary64)) (.f64 (neg.f64 a) (/.f64 a b)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 b)) (.f64 (/.f64 a b) (neg.f64 a)))
(/.f64 (.f64 #s(literal 1 binary64) b) (.f64 (/.f64 a b) a))
(/.f64 (.f64 b #s(literal 1 binary64)) (.f64 a (/.f64 a b)))
(/.f64 (neg.f64 (*.f64 (neg.f64 b) (/.f64 b a))) (neg.f64 (neg.f64 a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 a (.f64 b b)) a)))
(/.f64 (neg.f64 (.f64 b (/.f64 b (.f64 a a)))) #s(literal -1 binary64))
(/.f64 (.f64 (neg.f64 b) b) (neg.f64 (.f64 a a)))
(/.f64 (.f64 (neg.f64 b) b) (.f64 (neg.f64 a) a))
(/.f64 (.f64 (neg.f64 b) b) (.f64 a (neg.f64 a)))
(/.f64 (.f64 (neg.f64 b) (/.f64 b a)) (.f64 (neg.f64 a) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 b) (/.f64 b a)) (neg.f64 a))
(/.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal 1 binary64))
(/.f64 (*.f64 (/.f64 b a) b) a)
(/.f64 (/.f64 b a) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 a (*.f64 b b)) a) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (.f64 b b)) a) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.f64 b b)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a b) (/.f64 a b)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 a (.f64 b b)) a))
(/.f64 (.f64 b b) (.f64 a a))
(neg.f64 (neg.f64 (.f64 b (/.f64 b (.f64 a a)))))
(*.f64 (fabs.f64 b) (/.f64 (fabs.f64 b) a))
(*.f64 (neg.f64 b) (/.f64 (neg.f64 b) a))
(*.f64 (/.f64 b a) b)
(.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) a))
(*.f64 b (/.f64 b a))
(/.f64 (*.f64 #s(literal 1 binary64) b) (/.f64 a b))
(/.f64 (*.f64 b #s(literal 1 binary64)) (/.f64 a b))
(/.f64 (*.f64 (neg.f64 b) b) (neg.f64 a))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b b)))
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
(*.f64 #s(literal 1 binary64) (/.f64 b a))
(*.f64 b (/.f64 #s(literal 1 binary64) a))
(pow.f64 (/.f64 a b) #s(literal -1 binary64))
(/.f64 (*.f64 b #s(literal 1 binary64)) a)
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a b)))
(/.f64 (neg.f64 b) (neg.f64 a))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(/.f64 b a)
(neg.f64 (/.f64 (neg.f64 b) a))
(neg.f64 (/.f64 b (neg.f64 a)))
b
(*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 (neg.f64 a)))
(*.f64 (sqrt.f64 (fabs.f64 a)) (sqrt.f64 (fabs.f64 a)))
(*.f64 (sqrt.f64 a) (sqrt.f64 a))
(pow.f64 (*.f64 a a) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 a a))
(fabs.f64 (neg.f64 (neg.f64 a)))
(fabs.f64 (neg.f64 a))
(fabs.f64 (fabs.f64 a))
(fabs.f64 a)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)) b)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b)
(.f64 (.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(.f64 (-.f64 (.f64 (.f64 b b) b) (.f64 (.f64 a a) a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a (+.f64 b a)))))
(*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 a b)))
(/.f64 (fma.f64 (.f64 b b) b (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (.f64 a a) (*.f64 b (neg.f64 a)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 b b) b) (.f64 (.f64 a a) a))) (neg.f64 (fma.f64 b b (*.f64 a (+.f64 b a)))))
(/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (+.f64 b a))
(/.f64 (-.f64 (.f64 (.f64 b b) b) (.f64 (.f64 a a) a)) (fma.f64 b b (*.f64 a (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (.f64 a (+.f64 b a))) (-.f64 (.f64 (.f64 b b) b) (.f64 (*.f64 a a) a))))
(/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (neg.f64 (+.f64 b a)))
(neg.f64 (-.f64 a b))
(-.f64 (/.f64 (.f64 b b) (+.f64 b a)) (/.f64 (.f64 a a) (+.f64 b a)))
(-.f64 (/.f64 (.f64 (.f64 b b) b) (fma.f64 b b (.f64 a (+.f64 b a)))) (/.f64 (.f64 (.f64 a a) a) (fma.f64 b b (.f64 a (+.f64 b a)))))
(-.f64 b (neg.f64 (neg.f64 a)))
(-.f64 b a)
(+.f64 (neg.f64 a) b)
(+.f64 b (neg.f64 a))

eval28.0ms (1.6%)

Memory: -10.7MiB live, 34.7MiB allocated; 5ms collecting garbage
Compiler: Compiled 5 395 to 1 078 computations (80% saved)

prune4.0ms (0.3%)

Memory

8.6MiB live, 8.6MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	242	1	243
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	242	7	249

Accuracy

100.0%

Counts

249 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(-.f64 b a)
✓	0.0%	(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b a) b) a))) (fabs.f64 a))
✓	0.0%	(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))
✓	0.3%	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
▶	99.6%	#s(approx (- b a) b)
✓	1.9%	#s(approx (sqrt (- (* a a) (* b b))) (*.f64 #s(literal -1 binary64) a))
✓	4.9%	#s(approx (sqrt (- (* a a) (* b b))) a)

Compiler

Compiled 60 to 46 computations (23.3% saved)

series3.0ms (0.2%)

Memory

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	80

Stop Event

1×	iter-limit

Counts

2 → 8

Calls

Call 1

Inputs
#s(approx (- b a) b)
b

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

Calls

6 calls:

Time	Variable	Point
0.0ms	b	-inf
0.0ms	b	inf
0.0ms	a	inf
0.0ms	a	-inf
0.0ms	a	0

rewrite126.0ms (7.5%)

Memory

10.6MiB live, 101.7MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
0	4	6
1	25	6
2	211	6
3	2627	6
0	9598	6

Stop Event

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

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (- b a) b)
b

Outputs
#s(approx (- b a) b)
b

eval1.0ms (0%)

Memory: 1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 75 to 29 computations (61.3% saved)

prune2.0ms (0.1%)

Memory

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

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	7	0	7
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	7	7	14

Accuracy

100.0%

Counts

14 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(-.f64 b a)
✓	0.0%	(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b a) b) a))) (fabs.f64 a))
✓	0.0%	(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))
✓	0.3%	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
✓	99.6%	#s(approx (- b a) b)
✓	1.9%	#s(approx (sqrt (- (* a a) (* b b))) (*.f64 #s(literal -1 binary64) a))
✓	4.9%	#s(approx (sqrt (- (* a a) (* b b))) a)

Compiler

Compiled 60 to 46 computations (23.3% saved)

regimes40.0ms (2.4%)

Memory

1.7MiB live, 50.9MiB allocated; 9ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

9 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (- (* a a) (* b b))) a)

Outputs
#s(approx (sqrt (- (* a a) (* b b))) a)

Call 2

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

Outputs
#s(approx (- b a) b)

Calls

12 calls:

20.0ms	(*.f64 b b)
3.0ms	b
3.0ms	a
2.0ms	(-.f64 (.f64 a a) (.f64 b b))
2.0ms	(*.f64 a a)

Results

Accuracy	Segments	Branch
4.9%	1	`(*.f64 b b)`
4.9%	1	`(*.f64 a a)`
4.9%	1	`(-.f64 (.f64 a a) (.f64 b b))`
4.9%	1	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
4.9%	1	`a`
4.9%	1	`b`
99.6%	1	`(*.f64 b b)`
99.6%	1	`(*.f64 a a)`
99.6%	1	`(-.f64 (.f64 a a) (.f64 b b))`
99.6%	1	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
99.6%	1	`a`
99.6%	1	`b`

Compiler

Compiled 127 to 79 computations (37.8% saved)

derivations94.0ms (5.6%)

Memory

3.0MiB live, 47.8MiB allocated; 7ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 15 to 9 computations (40% saved)

preprocess53.0ms (3.1%)

Memory

-7.3MiB live, 38.7MiB allocated; 5ms collecting garbage

Remove

(abs b)

(sort a b)

Compiler

Compiled 193 to 139 computations (28% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze32.0ms (1.9%)

sample652.0ms (38.4%)

preprocess57.0ms (3.4%)

series12.0ms (0.7%)

rewrite45.0ms (2.7%)

eval22.0ms (1.3%)

prune3.0ms (0.2%)

series55.0ms (3.3%)

rewrite187.0ms (11%)

eval182.0ms (10.7%)

prune18.0ms (1.1%)

series21.0ms (1.2%)

rewrite60.0ms (3.5%)

eval28.0ms (1.6%)

prune4.0ms (0.3%)

series3.0ms (0.2%)

rewrite126.0ms (7.5%)

eval1.0ms (0%)

prune2.0ms (0.1%)

regimes40.0ms (2.4%)

derivations94.0ms (5.6%)

preprocess53.0ms (3.1%)

end0.0ms (0%)

Profiling