Metrics for bug366, discussion (missed optimization)

start0.0ms (0.0%)

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

analyze26.0ms (1.8%)

Memory

36.0MiB live, 36.1MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	0
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	1
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	2
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	3
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	4
30.8%	25.0%	56.2%	0.1%	0.0%	18.7%	0.0%	5
32.0%	25.0%	53.1%	0.1%	0.0%	21.9%	0.0%	6
55.8%	37.5%	29.7%	0.1%	0.0%	32.8%	0.0%	7
57.8%	37.5%	27.3%	0.1%	0.0%	35.1%	0.0%	8
74.2%	43.7%	15.2%	0.1%	0.0%	41.0%	0.0%	9
75.9%	43.7%	13.9%	0.1%	0.0%	42.3%	0.0%	10
85.9%	46.8%	7.7%	0.1%	0.0%	45.4%	0.0%	11
87.0%	46.8%	7.0%	0.1%	0.0%	46.1%	0.0%	12

Compiler

Compiled 10 to 8 computations (20.0% saved)

sample660.0ms (44.6%)

Memory

-1.3MiB live, 712.7MiB allocated; 177ms collecting garbage

Samples

428.0ms	8 256×	0	valid
27.0ms	688×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 244.0ms

ival-mult!: 152.0ms (62.3% of total)

ival-sqrt: 66.0ms (27.1% of total)

ival-sub!: 24.0ms (9.8% of total)

adjust: 2.0ms (0.8% of total)

Bogosity

preprocess61.0ms (4.1%)

Memory

-32.6MiB live, 65.6MiB allocated; 42ms 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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	0.2%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

Symmetry

(abs a)

(abs b)

(sort a b)

Compiler

Compiled 16 to 12 computations (25.0% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs

Outputs

series15.0ms (1.0%)

Memory

30.1MiB live, 30.1MiB 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

rewrite136.0ms (9.2%)

Memory

-17.2MiB live, 172.3MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	23
0	10	23
1	50	23
2	249	23
3	1160	23
4	2747	23
0	4026	23

Stop Event

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

Counts

6 → 577

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 (-.f64 a b) (+.f64 b a)) (-.f64 (neg.f64 (fabs.f64 b)) (fabs.f64 a))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (fabs.f64 b) (fabs.f64 a)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (-.f64 (fabs.f64 b) (fabs.f64 a))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (neg.f64 (fabs.f64 b)) (fabs.f64 a)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (+.f64 (fabs.f64 b) a)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 a (fabs.f64 b)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (-.f64 (fabs.f64 b) a)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (neg.f64 a) (fabs.f64 b)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (-.f64 (neg.f64 b) (fabs.f64 a))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 b (fabs.f64 a)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (-.f64 b (fabs.f64 a))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (neg.f64 b) (fabs.f64 a)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (-.f64 (fabs.f64 a) (fabs.f64 b))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (fabs.f64 b) (fabs.f64 a)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (+.f64 (fabs.f64 b) (fabs.f64 a))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (fabs.f64 a) (fabs.f64 b)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (+.f64 (fabs.f64 a) b)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (fabs.f64 a) b) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (-.f64 (fabs.f64 a) b)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (fabs.f64 a) b) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (-.f64 (neg.f64 a) (fabs.f64 b))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (fabs.f64 b) a) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (-.f64 b a)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (neg.f64 b) a) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (-.f64 (neg.f64 b) a)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 b a) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (-.f64 a (fabs.f64 b))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (fabs.f64 b) a) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (-.f64 a b) (+.f64 b a)) (neg.f64 (sqrt.f64 (.f64 (-.f64 a b) (+.f64 b a))))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (-.f64 a b)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 b a) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (+.f64 b a)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (-.f64 a b) (+.f64 b a)) (sqrt.f64 (.f64 (-.f64 a b) (+.f64 b a)))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 (neg.f64 (fabs.f64 b)) (fabs.f64 a)) (-.f64 (neg.f64 (fabs.f64 b)) (fabs.f64 a))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 (fabs.f64 b) (fabs.f64 a)) (-.f64 (fabs.f64 b) (fabs.f64 a))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 (fabs.f64 b) (fabs.f64 a)) (-.f64 (fabs.f64 b) (fabs.f64 a))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 (neg.f64 (fabs.f64 b)) (fabs.f64 a)) (-.f64 (neg.f64 (fabs.f64 b)) (fabs.f64 a))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 (neg.f64 b) (fabs.f64 a)) (-.f64 (neg.f64 b) (fabs.f64 a))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 b (fabs.f64 a)) (-.f64 b (fabs.f64 a))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 b (fabs.f64 a)) (-.f64 b (fabs.f64 a))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 (neg.f64 b) (fabs.f64 a)) (-.f64 (neg.f64 b) (fabs.f64 a))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 (fabs.f64 a) (fabs.f64 b)) (-.f64 (fabs.f64 a) (fabs.f64 b))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (+.f64 (fabs.f64 b) (fabs.f64 a)) (+.f64 (fabs.f64 b) (fabs.f64 a))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 (fabs.f64 b) (fabs.f64 a)) (+.f64 (fabs.f64 b) (fabs.f64 a))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 (fabs.f64 a) (fabs.f64 b)) (-.f64 (fabs.f64 a) (fabs.f64 b))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 (fabs.f64 a) b) (+.f64 (fabs.f64 a) b)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 (fabs.f64 a) b) (-.f64 (fabs.f64 a) b)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 (fabs.f64 a) b) (-.f64 (fabs.f64 a) b)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (+.f64 (fabs.f64 a) b) (+.f64 (fabs.f64 a) b)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 (fabs.f64 b) a) (-.f64 (fabs.f64 b) a)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 (neg.f64 a) (fabs.f64 b)) (-.f64 (neg.f64 a) (fabs.f64 b))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 (neg.f64 a) (fabs.f64 b)) (-.f64 (neg.f64 a) (fabs.f64 b))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 (fabs.f64 b) a) (-.f64 (fabs.f64 b) a)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 b a) (-.f64 b a)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 (neg.f64 b) a) (-.f64 (neg.f64 b) a)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 (neg.f64 b) a) (-.f64 (neg.f64 b) a)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 b a) (-.f64 b a)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 (fabs.f64 b) a) (+.f64 (fabs.f64 b) a)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 a (fabs.f64 b)) (-.f64 a (fabs.f64 b))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 a (fabs.f64 b)) (-.f64 a (fabs.f64 b))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (+.f64 (fabs.f64 b) a) (+.f64 (fabs.f64 b) a)) #s(literal 1/4 binary64)))
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(*.f64 (pow.f64 (fabs.f64 a) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 a) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 a) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 a) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 a a) (neg.f64 (fabs.f64 a))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 a)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 a a) (fabs.f64 a)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 a) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 a a) (neg.f64 a)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 a) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 a a) a) #s(literal 1/2 binary64)) (pow.f64 a #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 a) (neg.f64 (fabs.f64 a))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 a) (neg.f64 (fabs.f64 a))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 a (neg.f64 (fabs.f64 a))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 a (neg.f64 (fabs.f64 a))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 a) (fabs.f64 a)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 a) (fabs.f64 a)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 a (fabs.f64 a)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 a (fabs.f64 a)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 (fabs.f64 a)) (neg.f64 a)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 a)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (fabs.f64 a) (neg.f64 a)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 a) (neg.f64 a)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 (fabs.f64 a)) a) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (fabs.f64 a)) a) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (fabs.f64 a) a) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 a) a) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 a) a) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 a) a) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 a)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 (fabs.f64 a)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 a a) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 a a) #s(literal 0 binary64)) (*.f64 a a))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 a)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 a)) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (neg.f64 (fabs.f64 a)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (neg.f64 (fabs.f64 a)) (*.f64 a a)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 a) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 a) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (fabs.f64 a) #s(literal 1/2 binary64)) (pow.f64 (.f64 (fabs.f64 a) (*.f64 a a)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 a) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 a) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (neg.f64 a) #s(literal 1/2 binary64)) (pow.f64 (.f64 (neg.f64 a) (*.f64 a a)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a #s(literal 1/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)))
(.f64 (pow.f64 a #s(literal 1/2 binary64)) (pow.f64 (.f64 a (*.f64 a a)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 a)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 a)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 a)) #s(literal 1 binary64)) (neg.f64 (fabs.f64 a)))
(*.f64 (pow.f64 (fabs.f64 a) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 a) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 a) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 a) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fabs.f64 a) #s(literal 1 binary64)) (pow.f64 (fabs.f64 a) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 a) #s(literal 1 binary64)) (fabs.f64 a))
(*.f64 (pow.f64 (neg.f64 a) #s(literal 1 binary64)) (pow.f64 (neg.f64 a) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 a) #s(literal 1 binary64)) (neg.f64 a))
(*.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)))
(*.f64 (pow.f64 a #s(literal 1 binary64)) a)
(*.f64 (pow.f64 a (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 a (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)))
(*.f64 (fabs.f64 a) (fabs.f64 a))
(*.f64 (neg.f64 a) (neg.f64 a))
(.f64 (.f64 a a) (pow.f64 (neg.f64 (fabs.f64 a)) #s(literal 0 binary64)))
(.f64 (.f64 a a) (pow.f64 (fabs.f64 a) #s(literal 0 binary64)))
(.f64 (.f64 a a) (pow.f64 (neg.f64 a) #s(literal 0 binary64)))
(.f64 (.f64 a a) (pow.f64 a #s(literal 0 binary64)))
(.f64 (.f64 a a) (pow.f64 (.f64 (.f64 (*.f64 a a) a) a) #s(literal 0 binary64)))
(.f64 (.f64 a a) (pow.f64 (*.f64 a a) #s(literal 0 binary64)))
(*.f64 a a)
(pow.f64 (.f64 (.f64 (*.f64 a a) a) a) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 a)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a) #s(literal 2 binary64))
(pow.f64 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 a #s(literal 2 binary64))
(/.f64 (pow.f64 (.f64 a a) #s(literal 0 binary64)) (pow.f64 (.f64 a a) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 (fabs.f64 a)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 a)) #s(literal -1 binary64)))
(/.f64 (pow.f64 (fabs.f64 a) #s(literal 1 binary64)) (pow.f64 (fabs.f64 a) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 a) #s(literal 1 binary64)) (pow.f64 (neg.f64 a) #s(literal -1 binary64)))
(/.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (fabs.f64 a)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 a) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 a) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a a) #s(literal -1 binary64)))
(/.f64 (fabs.f64 a) (pow.f64 (*.f64 a a) #s(literal -1/2 binary64)))
(/.f64 (.f64 a a) (pow.f64 (.f64 a a) #s(literal 0 binary64)))
(neg.f64 (*.f64 (neg.f64 a) a))
(sqrt.f64 (.f64 (.f64 (*.f64 a a) a) a))
(fabs.f64 (*.f64 (neg.f64 a) (neg.f64 (fabs.f64 a))))
(fabs.f64 (*.f64 a (neg.f64 (fabs.f64 a))))
(fabs.f64 (*.f64 (neg.f64 a) (fabs.f64 a)))
(fabs.f64 (*.f64 a (fabs.f64 a)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 a)))
(fabs.f64 (*.f64 (fabs.f64 a) (neg.f64 a)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 a)) a))
(fabs.f64 (*.f64 (fabs.f64 a) a))
(fabs.f64 (*.f64 (neg.f64 a) a))
(fabs.f64 (*.f64 a a))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 a a) a) a)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 a))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 a a)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 a)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 a)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
a
(*.f64 (pow.f64 (neg.f64 (fabs.f64 b)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 b)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 b) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 b) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 b) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 b) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 b b) (neg.f64 (fabs.f64 b))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 b)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 b b) (fabs.f64 b)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 b) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 b b) (neg.f64 b)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 b) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 b b) b) #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 b) (neg.f64 (fabs.f64 b))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 b) (neg.f64 (fabs.f64 b))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 b (neg.f64 (fabs.f64 b))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 b (neg.f64 (fabs.f64 b))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 b) (fabs.f64 b)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 b) (fabs.f64 b)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 b (fabs.f64 b)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 b (fabs.f64 b)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 (fabs.f64 b)) (neg.f64 b)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (fabs.f64 b)) (neg.f64 b)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (fabs.f64 b) (neg.f64 b)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 b) (neg.f64 b)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 (fabs.f64 b)) b) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (fabs.f64 b)) b) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (fabs.f64 b) b) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 b) b) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 b) b) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 b) b) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 b)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 (fabs.f64 b)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 b b) #s(literal 0 binary64)) (*.f64 b b))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 b)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 b)) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (neg.f64 (fabs.f64 b)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (neg.f64 (fabs.f64 b)) (*.f64 b b)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 b) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 b) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (fabs.f64 b) #s(literal 1/2 binary64)) (pow.f64 (.f64 (fabs.f64 b) (*.f64 b b)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 b) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 b) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (neg.f64 b) #s(literal 1/2 binary64)) (pow.f64 (.f64 (neg.f64 b) (*.f64 b b)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)))
(.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 (.f64 b (*.f64 b b)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 b)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 b)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 b)) #s(literal 1 binary64)) (neg.f64 (fabs.f64 b)))
(*.f64 (pow.f64 (fabs.f64 b) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 b) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 b) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 b) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fabs.f64 b) #s(literal 1 binary64)) (pow.f64 (fabs.f64 b) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 b) #s(literal 1 binary64)) (fabs.f64 b))
(*.f64 (pow.f64 (neg.f64 b) #s(literal 1 binary64)) (pow.f64 (neg.f64 b) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 b) #s(literal 1 binary64)) (neg.f64 b))
(*.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)))
(*.f64 (pow.f64 b #s(literal 1 binary64)) b)
(*.f64 (pow.f64 b (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 b (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 (neg.f64 b) (neg.f64 b))
(.f64 (.f64 b b) (pow.f64 (neg.f64 (fabs.f64 b)) #s(literal 0 binary64)))
(.f64 (.f64 b b) (pow.f64 (fabs.f64 b) #s(literal 0 binary64)))
(.f64 (.f64 b b) (pow.f64 (neg.f64 b) #s(literal 0 binary64)))
(.f64 (.f64 b b) (pow.f64 b #s(literal 0 binary64)))
(.f64 (.f64 b b) (pow.f64 (.f64 (.f64 (*.f64 b b) b) b) #s(literal 0 binary64)))
(.f64 (.f64 b b) (pow.f64 (*.f64 b b) #s(literal 0 binary64)))
(*.f64 b b)
(pow.f64 (.f64 (.f64 (*.f64 b b) b) b) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 b)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 b) #s(literal 2 binary64))
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 b #s(literal 2 binary64))
(/.f64 (pow.f64 (.f64 b b) #s(literal 0 binary64)) (pow.f64 (.f64 b b) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 (fabs.f64 b)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 b)) #s(literal -1 binary64)))
(/.f64 (pow.f64 (fabs.f64 b) #s(literal 1 binary64)) (pow.f64 (fabs.f64 b) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 b) #s(literal 1 binary64)) (pow.f64 (neg.f64 b) #s(literal -1 binary64)))
(/.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (fabs.f64 b)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 b) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 b) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 b b) #s(literal -1 binary64)))
(/.f64 (fabs.f64 b) (pow.f64 (*.f64 b b) #s(literal -1/2 binary64)))
(/.f64 (.f64 b b) (pow.f64 (.f64 b b) #s(literal 0 binary64)))
(neg.f64 (*.f64 (neg.f64 b) b))
(sqrt.f64 (.f64 (.f64 (*.f64 b b) b) b))
(fabs.f64 (*.f64 (neg.f64 b) (neg.f64 (fabs.f64 b))))
(fabs.f64 (*.f64 b (neg.f64 (fabs.f64 b))))
(fabs.f64 (*.f64 (neg.f64 b) (fabs.f64 b)))
(fabs.f64 (*.f64 b (fabs.f64 b)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 b)) (neg.f64 b)))
(fabs.f64 (*.f64 (fabs.f64 b) (neg.f64 b)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 b)) b))
(fabs.f64 (*.f64 (fabs.f64 b) b))
(fabs.f64 (*.f64 (neg.f64 b) b))
(fabs.f64 (*.f64 b b))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 b b) b) b)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 b))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 b b)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 b)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 b)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
b

eval65.0ms (4.4%)

Memory: -7.1MiB live, 83.6MiB allocated; 10ms collecting garbage
Compiler: Compiled 10 452 to 1 990 computations (81.0% saved)

prune9.0ms (0.6%)

Memory

17.5MiB live, 17.5MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	600	4	604
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	600	5	605

Accuracy

100.0%

Counts

605 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	0.0%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 b a)))
✓	0.2%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
▶	0.2%	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
▶	0.5%	#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)))))))
▶	1.8%	#s(approx (sqrt (- (* a a) (* b b))) (*.f64 #s(literal -1 binary64) a))

Compiler

Compiled 59 to 44 computations (25.4% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
-1
1
-1/2
2

Outputs
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(literal -1/2 binary64)
#s(literal 2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 6 to 6 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series57.0ms (3.8%)

Memory

15.9MiB live, 61.7MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	807	4713

Stop Event

1×	iter-limit

Counts

22 → 141

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

Calls

6 calls:

Time	Variable	Point
8.0ms	b	inf
5.0ms	b	-inf
5.0ms	a	inf
4.0ms	a	0
3.0ms	b	0

rewrite104.0ms (7.1%)

Memory

1.0MiB live, 99.8MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	127
0	40	124
1	177	124
2	748	110
0	4017	109

Stop Event

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

Counts

22 → 922

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

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

eval133.0ms (9.0%)

Memory: 8.5MiB live, 147.8MiB allocated; 47ms collecting garbage
Compiler: Compiled 26 543 to 4 812 computations (81.9% saved)

prune22.0ms (1.5%)

Memory

-19.3MiB live, 27.9MiB allocated; 6ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	1 079	2	1 081
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	1 081	5	1 086

Accuracy

100.0%

Counts

1 086 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	0.0%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 b a)))
✓	0.2%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
✓	0.2%	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
▶	5.1%	#s(approx (sqrt (- (* a a) (* b b))) (.f64 a #s(approx (+ 1 ( -1/2 (/ (pow b 2) (pow a 2)))) #s(literal 1 binary64))))
▶	1.8%	#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 a))

Compiler

Compiled 60 to 45 computations (25.0% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
1

Outputs
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series11.0ms (0.7%)

Memory

12.0MiB live, 12.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	171	979

Stop Event

1×	iter-limit

Counts

7 → 34

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite108.0ms (7.3%)

Memory

-0.4MiB live, 92.4MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	67
0	21	67
1	104	67
2	478	61
3	2509	61
0	4085	58

Stop Event

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

Counts

7 → 8

Calls

Call 1

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

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

eval3.0ms (0.2%)

Memory: 4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 148 to 195 computations (83.0% saved)

prune2.0ms (0.1%)

Memory

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

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	36	5	41

Accuracy

100.0%

Counts

41 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	0.0%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 b a)))
✓	0.2%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
✓	0.2%	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
✓	5.1%	#s(approx (sqrt (- (* a a) (* b b))) (.f64 a #s(approx (+ 1 ( -1/2 (/ (pow b 2) (pow a 2)))) #s(literal 1 binary64))))
✓	1.8%	#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 a))

Compiler

Compiled 60 to 45 computations (25.0% saved)

regimes32.0ms (2.2%)

Memory

-13.9MiB live, 38.1MiB allocated; 5ms collecting garbage

Counts

2 → 1

7 → 1

Calls

Call 1

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

Outputs
#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 a))

Call 2

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

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

Calls

12 calls:

10.0ms	(-.f64 (.f64 a a) (.f64 b b))
3.0ms	b
3.0ms	a
3.0ms	(*.f64 b b)
2.0ms	(*.f64 a a)

Results

Accuracy	Segments	Branch
1.8%	1	`(*.f64 a a)`
1.8%	1	`a`
1.8%	1	`(*.f64 b b)`
1.8%	1	`b`
1.8%	1	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
1.8%	1	`(-.f64 (.f64 a a) (.f64 b b))`
5.1%	1	`(*.f64 b b)`
5.1%	1	`(*.f64 a a)`
5.1%	1	`(-.f64 (.f64 a a) (.f64 b b))`
5.1%	1	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
5.1%	1	`a`
5.1%	1	`b`

Compiler

Compiled 140 to 85 computations (39.3% saved)

derivations14.0ms (1.0%)

Memory

8.1MiB live, 8.1MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 35 to 20 computations (42.9% saved)

preprocess22.0ms (1.5%)

Memory: -17.5MiB live, 29.5MiB allocated; 2ms collecting garbage
Symmetry: (sort a b)
Compiler: Compiled 433 to 313 computations (27.7% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze26.0ms (1.8%)

sample660.0ms (44.6%)

preprocess61.0ms (4.1%)

sample0.0ms (0.0%)

series15.0ms (1.0%)

rewrite136.0ms (9.2%)

eval65.0ms (4.4%)

prune9.0ms (0.6%)

sample0.0ms (0.0%)

series57.0ms (3.8%)

rewrite104.0ms (7.1%)

eval133.0ms (9.0%)

prune22.0ms (1.5%)

sample0.0ms (0.0%)

series11.0ms (0.7%)

rewrite108.0ms (7.3%)

eval3.0ms (0.2%)

prune2.0ms (0.1%)

regimes32.0ms (2.2%)

derivations14.0ms (1.0%)

preprocess22.0ms (1.5%)

end0.0ms (0.0%)

Profiling