Metrics for bug366, discussion (missed optimization)

start0.0ms (0%)

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

analyze27.0ms (1.7%)

Memory

-0.1MiB live, 47.5MiB allocated; 3ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 10 to 8 computations (20% saved)

sample727.0ms (46.1%)

Memory

54.2MiB live, 1 141.3MiB allocated; 142ms collecting garbage

Samples

480.0ms	8 256×	0	valid
28.0ms	667×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 291.0ms

ival-mult!: 147.0ms (50.5% of total)

ival-sqrt: 124.0ms (42.6% of total)

ival-sub!: 19.0ms (6.5% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

preprocess34.0ms (2.1%)

Memory

-26.0MiB live, 63.7MiB allocated; 9ms 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
▶	0.3%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

Symmetry

(abs a)

(abs b)

(sort a b)

Compiler

Compiled 16 to 12 computations (25% saved)

series27.0ms (1.7%)

Memory

-1.1MiB live, 60.8MiB allocated; 20ms 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

rewrite93.0ms (5.9%)

Memory

30.0MiB live, 166.0MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	23
0	10	23
1	33	23
2	144	23
3	484	23
4	1338	23
0	4063	23

Stop Event

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

Counts

6 → 410

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

eval61.0ms (3.9%)

Memory: -22.8MiB live, 76.0MiB allocated; 23ms collecting garbage
Compiler: Compiled 6 704 to 1 369 computations (79.6% saved)

prune8.0ms (0.5%)

Memory

16.0MiB live, 16.0MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	434	3	437
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	435	3	438

Accuracy

94.2%

Counts

438 → 3

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

0.3%

(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)))))))

▶

1.9%

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

Compiler

Compiled 42 to 31 computations (26.2% saved)

series39.0ms (2.5%)

Memory

-15.5MiB live, 30.8MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	443	2431

Stop Event

1×	iter-limit

Counts

19 → 81

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)

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 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 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 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 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 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)))))

Calls

6 calls:

Time	Variable	Point
11.0ms	b	inf
3.0ms	b	0
3.0ms	a	0
2.0ms	b	-inf
2.0ms	a	-inf

rewrite120.0ms (7.6%)

Memory

2.5MiB live, 190.6MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	110
0	34	108
1	93	108
2	401	94
3	2635	94
0	5167	91

Stop Event

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

Counts

19 → 1 159

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)

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

eval152.0ms (9.6%)

Memory: -2.0MiB live, 226.5MiB allocated; 29ms collecting garbage
Compiler: Compiled 30 730 to 5 736 computations (81.3% saved)

prune99.0ms (6.3%)

Memory

-27.4MiB live, 45.2MiB allocated; 106ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	1 226	3	1 229
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	1 228	4	1 232

Accuracy

100.0%

Counts

1 232 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	0.3%	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
▶	0.9%	#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (*.f64 b (/.f64 b a)) #s(literal -1/2 binary64) a))
▶	4.9%	#s(approx (sqrt (- (* a a) (* b b))) (.f64 a #s(approx (+ 1 ( -1/2 (/ (pow b 2) (pow a 2)))) #s(literal 1 binary64))))
▶	1.9%	#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 a))

Compiler

Compiled 60 to 43 computations (28.3% saved)

series16.0ms (1%)

Memory

26.7MiB live, 26.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	176	1000

Stop Event

1×	iter-limit

Counts

13 → 37

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)
#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (*.f64 b (/.f64 b a)) #s(literal -1/2 binary64) a))
(fma.f64 (*.f64 b (/.f64 b a)) #s(literal -1/2 binary64) a)
(*.f64 b (/.f64 b a))
b
(/.f64 b a)
#s(literal -1/2 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 (* b (/ b a)) (/.f64 (pow.f64 b #s(literal 2 binary64)) a))
#s(approx (/ b a) (/.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)))))))
#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 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 (+ 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
2.0ms	b	inf
2.0ms	a	-inf
2.0ms	b	-inf
1.0ms	a	inf
1.0ms	a	0

rewrite91.0ms (5.8%)

Memory

-15.8MiB live, 128.7MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	102
0	29	102
1	78	102
2	350	96
3	1807	96
0	4416	93

Stop Event

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

Counts

13 → 66

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

eval9.0ms (0.6%)

Memory: 14.0MiB live, 14.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 262 to 400 computations (82.3% saved)

prune4.0ms (0.2%)

Memory

4.7MiB live, 4.7MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	94	4	98

Accuracy

100.0%

Counts

98 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	0.3%	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
✓	0.9%	#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (*.f64 b (/.f64 b a)) #s(literal -1/2 binary64) a))
✓	4.9%	#s(approx (sqrt (- (* a a) (* b b))) (.f64 a #s(approx (+ 1 ( -1/2 (/ (pow b 2) (pow a 2)))) #s(literal 1 binary64))))
✓	1.9%	#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 a))

Compiler

Compiled 60 to 43 computations (28.3% saved)

regimes26.0ms (1.6%)

Memory

-10.4MiB live, 41.8MiB allocated; 4ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

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:

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

Results

Accuracy	Segments	Branch
1.9%	1	`(*.f64 a a)`
1.9%	1	`a`
1.9%	1	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
1.9%	1	`(-.f64 (.f64 a a) (.f64 b b))`
1.9%	1	`(*.f64 b b)`
1.9%	1	`b`
4.9%	1	`(*.f64 b b)`
4.9%	1	`(*.f64 a a)`
4.9%	1	`(-.f64 (.f64 a a) (.f64 b b))`
4.9%	1	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
4.9%	1	`a`
4.9%	1	`b`

Compiler

Compiled 148 to 86 computations (41.9% saved)

derivations18.0ms (1.2%)

Memory

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

Stop Event

1×

done

Compiler

Compiled 35 to 20 computations (42.9% saved)

preprocess23.0ms (1.5%)

Memory

-15.5MiB live, 31.4MiB allocated; 3ms collecting garbage

Remove

(abs b)

(abs a)

Compiler

Compiled 419 to 306 computations (27% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze27.0ms (1.7%)

sample727.0ms (46.1%)

preprocess34.0ms (2.1%)

series27.0ms (1.7%)

rewrite93.0ms (5.9%)

eval61.0ms (3.9%)

prune8.0ms (0.5%)

series39.0ms (2.5%)

rewrite120.0ms (7.6%)

eval152.0ms (9.6%)

prune99.0ms (6.3%)

series16.0ms (1%)

rewrite91.0ms (5.8%)

eval9.0ms (0.6%)

prune4.0ms (0.2%)

regimes26.0ms (1.6%)

derivations18.0ms (1.2%)

preprocess23.0ms (1.5%)

end0.0ms (0%)

Profiling