bug366, discussion (missed optimization)

Time bar (total: 7.5s)

start0.0ms (0.0%)

Memory
0.2MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze61.0ms (0.8%)

Memory
14.0MiB live, 107.4MiB allocated; 16ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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)

sample787.0ms (10.5%)

Memory
41.2MiB live, 1 266.4MiB allocated; 253ms collecting garbage
Samples
492.0ms8 256×0valid
40.0ms649×0invalid
Precisions
Click to see histograms. Total time spent on operations: 278.0ms
ival-sqrt: 124.0ms (44.6% of total)
ival-mult!: 114.0ms (41.0% of total)
ival-sub!: 28.0ms (10.1% of total)
adjust: 11.0ms (4.0% of total)
Bogosity

preprocess40.0ms (0.5%)

Memory
5.1MiB live, 50.1MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01850
17550
228750
353150
4165450
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
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 (25.0% saved)

series27.0ms (0.4%)

Memory
-3.6MiB live, 41.6MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156860
Stop Event
iter-limit
Counts
6 → 32
Calls
Call 1
Inputs
a
(*.f64 a a)
b
(*.f64 b b)
(-.f64 (*.f64 a a) (*.f64 b b))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
Outputs
#s(approx a a)
#s(approx (* a a) (pow.f64 a #s(literal 2 binary64)))
#s(approx (- (* a a) (* b b)) (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))))
#s(approx (- (* a a) (* b b)) (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
#s(approx (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)) (+.f64 (*.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)) (+.f64 (*.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 (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 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) (+.f64 (*.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) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (+.f64 (*.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))) (*.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) (+.f64 (*.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) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))))))))
#s(approx b b)
#s(approx (* b b) (pow.f64 b #s(literal 2 binary64)))
#s(approx (- (* a a) (* b b)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (pow.f64 a #s(literal 2 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)) (*.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 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)) (+.f64 (*.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)) (+.f64 (*.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 (*.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 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)) (+.f64 (*.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)) (+.f64 (*.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 (*.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:

TimeVariablePoint
1.0ms
b
inf
1.0ms
a
0
1.0ms
a
inf
1.0ms
a
-inf
1.0ms
b
0

rewrite160.0ms (2.1%)

Memory
-11.5MiB live, 224.8MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0623
01023
15023
224923
3116023
4274723
0402623
Stop Event
iter-limit
node-limit
iter-limit
Counts
6 → 521
Calls
Call 1
Inputs
a
(*.f64 a a)
b
(*.f64 b b)
(-.f64 (*.f64 a a) (*.f64 b b))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
Outputs
a
(*.f64 (pow.f64 (neg.f64 (fabs.f64 a)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 a)) #s(literal 1/2 binary64)))
(*.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)))
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(*.f64 (pow.f64 (+.f64 (fabs.f64 b) (fabs.f64 a)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 (fabs.f64 a) (fabs.f64 b)) (*.f64 (-.f64 a b) (+.f64 b a))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (+.f64 (fabs.f64 a) b) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 (fabs.f64 a) b) (*.f64 (-.f64 a b) (+.f64 b a))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 (fabs.f64 a) b) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (+.f64 (fabs.f64 a) b) (*.f64 (-.f64 a b) (+.f64 b a))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (+.f64 (fabs.f64 b) a)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 (fabs.f64 b) a) (*.f64 (-.f64 a b) (+.f64 b a))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 b a) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 (neg.f64 b) a) (*.f64 (-.f64 a b) (+.f64 b a))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 (neg.f64 b) a) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 b a) (*.f64 (-.f64 a b) (+.f64 b a))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 a (fabs.f64 b)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (+.f64 (fabs.f64 b) a) (*.f64 (-.f64 a b) (+.f64 b a))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) (*.f64 (-.f64 a b) (+.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 b a) (+.f64 b a)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (+.f64 b a) (*.f64 (-.f64 a b) (+.f64 b a))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (+.f64 b a) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 a b) (*.f64 (-.f64 a b) (+.f64 b a))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (*.f64 (-.f64 a b) (+.f64 b a))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 a b) (+.f64 b a)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 a b) (+.f64 b a)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fabs.f64 (-.f64 (neg.f64 (fabs.f64 b)) (fabs.f64 a))) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (-.f64 (fabs.f64 b) (fabs.f64 a))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (-.f64 (fabs.f64 b) (fabs.f64 a))) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (-.f64 (neg.f64 (fabs.f64 b)) (fabs.f64 a))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (neg.f64 (+.f64 (fabs.f64 a) b))) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (-.f64 b (fabs.f64 a))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (-.f64 b (fabs.f64 a))) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (neg.f64 (+.f64 (fabs.f64 a) b))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (-.f64 (fabs.f64 a) (fabs.f64 b))) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (+.f64 (fabs.f64 b) (fabs.f64 a))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (+.f64 (fabs.f64 b) (fabs.f64 a))) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (-.f64 (fabs.f64 a) (fabs.f64 b))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (+.f64 (fabs.f64 a) b)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (-.f64 (fabs.f64 a) b)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (-.f64 (fabs.f64 a) b)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (+.f64 (fabs.f64 a) b)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (-.f64 (fabs.f64 b) a)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (neg.f64 (+.f64 (fabs.f64 b) a))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (neg.f64 (+.f64 (fabs.f64 b) a))) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (-.f64 (fabs.f64 b) a)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (-.f64 (neg.f64 b) a)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (-.f64 (neg.f64 b) a)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (+.f64 (fabs.f64 b) a)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (-.f64 a (fabs.f64 b))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (-.f64 a (fabs.f64 b))) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (+.f64 (fabs.f64 b) a)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (+.f64 b a)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (+.f64 b a)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 (neg.f64 (fabs.f64 b)) (fabs.f64 a))) (sqrt.f64 (-.f64 (fabs.f64 b) (fabs.f64 a))))
(*.f64 (sqrt.f64 (-.f64 (fabs.f64 b) (fabs.f64 a))) (sqrt.f64 (-.f64 (neg.f64 (fabs.f64 b)) (fabs.f64 a))))
(*.f64 (sqrt.f64 (neg.f64 (+.f64 (fabs.f64 a) b))) (sqrt.f64 (-.f64 b (fabs.f64 a))))
(*.f64 (sqrt.f64 (-.f64 b (fabs.f64 a))) (sqrt.f64 (neg.f64 (+.f64 (fabs.f64 a) b))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a))))) (sqrt.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a))))))
(*.f64 (pow.f64 (-.f64 (neg.f64 (fabs.f64 b)) (fabs.f64 a)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (fabs.f64 b) (fabs.f64 a)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 (fabs.f64 b) (fabs.f64 a)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (neg.f64 (fabs.f64 b)) (fabs.f64 a)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (+.f64 (fabs.f64 a) b)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 b (fabs.f64 a)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 b (fabs.f64 a)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (+.f64 (fabs.f64 a) b)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) (sqrt.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))))
(*.f64 (sqrt.f64 (-.f64 (fabs.f64 a) (fabs.f64 b))) (sqrt.f64 (+.f64 (fabs.f64 b) (fabs.f64 a))))
(*.f64 (sqrt.f64 (+.f64 (fabs.f64 b) (fabs.f64 a))) (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 (neg.f64 (+.f64 (fabs.f64 b) a))) (sqrt.f64 (-.f64 (fabs.f64 b) a)))
(*.f64 (sqrt.f64 (-.f64 (fabs.f64 b) a)) (sqrt.f64 (neg.f64 (+.f64 (fabs.f64 b) a))))
(*.f64 (sqrt.f64 (-.f64 b a)) (sqrt.f64 (-.f64 (neg.f64 b) a)))
(*.f64 (sqrt.f64 (-.f64 (neg.f64 b) a)) (sqrt.f64 (-.f64 b a)))
(*.f64 (sqrt.f64 (-.f64 a (fabs.f64 b))) (sqrt.f64 (+.f64 (fabs.f64 b) a)))
(*.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 b) (fabs.f64 a)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 (fabs.f64 b) (fabs.f64 a)) #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 (neg.f64 (+.f64 (fabs.f64 b) a)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (fabs.f64 b) a) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 (fabs.f64 b) a) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (+.f64 (fabs.f64 b) a)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 b a) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (neg.f64 b) a) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 (neg.f64 b) a) #s(literal 1/2 binary64)) (pow.f64 (-.f64 b a) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 a (fabs.f64 b)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (fabs.f64 b) a) #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 a b) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 b a)))
(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))
(*.f64 (pow.f64 (-.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 a b) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (pow.f64 (*.f64 (-.f64 a b) (+.f64 b a)) #s(literal 0 binary64)))
(pow.f64 (*.f64 (*.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (-.f64 a b)) (+.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))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (-.f64 a b)) (+.f64 b a))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 a b) (+.f64 b a))) #s(literal 1/2 binary64)))

eval55.0ms (0.7%)

Memory
-7.1MiB live, 89.3MiB allocated; 14ms collecting garbage
Compiler

Compiled 9 685 to 1 884 computations (80.5% saved)

prune8.0ms (0.1%)

Memory
17.7MiB live, 17.7MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New5444548
Fresh000
Picked101
Done000
Total5454549
Accuracy
100.0%
Counts
549 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
0.0%
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 b a)))
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 51 to 38 computations (25.5% saved)

series61.0ms (0.8%)

Memory
-5.4MiB live, 86.2MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08074794
Stop Event
iter-limit
Counts
22 → 141
Calls
Call 1
Inputs
a
b
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) a)
#s(approx (sqrt (- (* a a) (* b b))) (*.f64 #s(literal -1 binary64) a))
#s(literal 1 binary64)
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(pow.f64 b #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 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)))))
(*.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) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))))
(-.f64 a b)
(+.f64 b a)
(*.f64 (-.f64 a b) (+.f64 b a))
(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
(sqrt.f64 (-.f64 a b))
(sqrt.f64 (+.f64 b a))
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 b a)))
Outputs
#s(approx a a)
#s(approx (* -1 a) (*.f64 #s(literal -1 binary64) a))
#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)) (+.f64 (*.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)) (+.f64 (*.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 (pow a 2) (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 (* -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 (+.f64 (*.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 (* 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 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 b #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64))) a))
#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 (* (- a b) (+ b a)) (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))))
#s(approx (* (- a b) (+ b a)) (+.f64 (*.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)) (+.f64 (*.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 (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 (+.f64 (*.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 (+.f64 (*.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 (+.f64 (*.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 (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 (+.f64 (*.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 (+.f64 (*.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 (+.f64 (*.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 (+.f64 (*.f64 a (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 a (pow.f64 (sqrt.f64 b) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 b) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 b)))))))
#s(approx (* (sqrt (- a b)) (sqrt (+ b a))) (*.f64 (sqrt.f64 b) (sqrt.f64 (neg.f64 b))))
#s(approx (* (sqrt (- a b)) (sqrt (+ b a))) (+.f64 (*.f64 a (+.f64 (*.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))) (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 b) (sqrt.f64 (neg.f64 b)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 b))) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 b) (pow.f64 (sqrt.f64 (neg.f64 b)) #s(literal 3 binary64)))) (+.f64 (*.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))) (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 b) (sqrt.f64 (neg.f64 b)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 b))) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 b) (pow.f64 (sqrt.f64 (neg.f64 b)) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (neg.f64 b)) (pow.f64 (sqrt.f64 b) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 b) (sqrt.f64 (neg.f64 b))))) (*.f64 a (-.f64 (+.f64 (*.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))))) (+.f64 (*.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 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) (+.f64 (*.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) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (+.f64 (*.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 (- 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 (* (- a b) (+ b a)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.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) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (+.f64 (*.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 (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) (+.f64 (*.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) (+.f64 (*.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)))) (+.f64 (*.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)) (*.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)) (+.f64 (*.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)) (+.f64 (*.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 (*.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)) (+.f64 (*.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)) (+.f64 (*.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 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 b (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))))))
#s(approx (* (sqrt (- a b)) (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)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b (pow.f64 a #s(literal 2 binary64)))) (+.f64 (*.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)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b (pow.f64 a #s(literal 2 binary64)))) (+.f64 (*.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))))) (+.f64 (*.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)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b (pow.f64 a #s(literal 2 binary64)))) (+.f64 (*.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))))) (+.f64 (*.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))))) (+.f64 (*.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))))) (+.f64 (*.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 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) (+.f64 (*.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) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (+.f64 (*.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 (- 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 (* (- a b) (+ b a)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.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 (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 (+.f64 (*.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 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.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 (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)) (+.f64 (*.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)) (+.f64 (*.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 (*.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)) (+.f64 (*.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)) (+.f64 (*.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 (*.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 (pow b 2) (pow.f64 b #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 (- a b) (+.f64 a (*.f64 #s(literal -1 binary64) b)))
#s(approx (* (- a b) (+ b a)) (+.f64 (*.f64 b (+.f64 a (*.f64 #s(literal -1 binary64) a))) (pow.f64 a #s(literal 2 binary64))))
#s(approx (* (- a b) (+ b a)) (+.f64 (*.f64 b (+.f64 a (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) b)))) (pow.f64 a #s(literal 2 binary64))))
#s(approx (sqrt (* (- a b) (+ b a))) (+.f64 (sqrt.f64 (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (+.f64 a (*.f64 #s(literal -1 binary64) a))) (sqrt.f64 (pow.f64 a #s(literal 2 binary64)))))))
#s(approx (sqrt (* (- a b) (+ b a))) (+.f64 (sqrt.f64 (pow.f64 a #s(literal 2 binary64))) (*.f64 b (+.f64 (*.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 (+.f64 (*.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 (+.f64 (*.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 (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 (+.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 (+ b a)) (+.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 (- a b)) (sqrt (+ b a))) (pow.f64 (sqrt.f64 a) #s(literal 2 binary64)))
#s(approx (* (sqrt (- a b)) (sqrt (+ b a))) (+.f64 (*.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))) (+.f64 (*.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 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)) (+.f64 (*.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)) (+.f64 (*.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 (*.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 (+ 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 (* 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 (- 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 (* (- a b) (+ b a)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (+.f64 (*.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 (+.f64 (*.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 (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)) (+.f64 (*.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)) (+.f64 (*.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))))) (+.f64 (*.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)) (*.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)) (+.f64 (*.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)) (+.f64 (*.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 (*.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)) (+.f64 (*.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)) (+.f64 (*.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 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b))))))))))
#s(approx (* (sqrt (- a b)) (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)) (+.f64 (*.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 (*.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)) (+.f64 (*.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))))) (+.f64 (*.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))))) (+.f64 (*.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)))))) (+.f64 (*.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 (*.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)) (+.f64 (*.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))))) (+.f64 (*.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))))) (+.f64 (*.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)))))) (+.f64 (*.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)))))) (+.f64 (*.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))))) (+.f64 (*.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))))) (+.f64 (*.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)))))) (+.f64 (*.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 (*.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 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)) (+.f64 (*.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)) (+.f64 (*.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 (*.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 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 (* (- 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 (+.f64 (*.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 (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 (+.f64 (*.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 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.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 (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)) (+.f64 (*.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)) (+.f64 (*.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 (*.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)) (+.f64 (*.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)) (+.f64 (*.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 (*.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:

TimeVariablePoint
10.0ms
b
inf
5.0ms
a
inf
4.0ms
a
0
3.0ms
a
-inf
3.0ms
b
0

rewrite176.0ms (2.3%)

Memory
4.0MiB live, 269.4MiB allocated; 98ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026127
040124
1177124
2748110
04017110
Stop Event
iter-limit
node-limit
iter-limit
Counts
22 → 856
Calls
Call 1
Inputs
a
b
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) a)
#s(approx (sqrt (- (* a a) (* b b))) (*.f64 #s(literal -1 binary64) a))
#s(literal 1 binary64)
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(pow.f64 b #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 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)))))
(*.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) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))))
(-.f64 a b)
(+.f64 b a)
(*.f64 (-.f64 a b) (+.f64 b a))
(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
(sqrt.f64 (-.f64 a b))
(sqrt.f64 (+.f64 b a))
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 b a)))
Outputs
a
b
#s(literal -1 binary64)
(*.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(approx (sqrt (- (* a a) (* b b))) (neg.f64 a))
#s(literal 1 binary64)
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(*.f64 (*.f64 (*.f64 b b) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (*.f64 (neg.f64 (fabs.f64 b)) #s(literal 1 binary64)) (*.f64 (neg.f64 (fabs.f64 b)) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 (fabs.f64 b)) #s(literal -1 binary64)) (*.f64 (neg.f64 (fabs.f64 b)) #s(literal -1 binary64)))
(*.f64 (*.f64 (fabs.f64 b) #s(literal 1 binary64)) (*.f64 (fabs.f64 b) #s(literal 1 binary64)))
(*.f64 (*.f64 (fabs.f64 b) #s(literal -1 binary64)) (*.f64 (fabs.f64 b) #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 b) #s(literal 1 binary64)) (*.f64 (neg.f64 b) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) (*.f64 (neg.f64 b) #s(literal -1 binary64)))
(*.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 b #s(literal 1 binary64)))
(*.f64 (*.f64 b #s(literal -1 binary64)) (*.f64 b #s(literal -1 binary64)))
(*.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 (neg.f64 (neg.f64 (fabs.f64 b))) (neg.f64 (neg.f64 (fabs.f64 b))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 b))) (fabs.f64 b))
(*.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 (neg.f64 (fabs.f64 b)) (*.f64 (neg.f64 (fabs.f64 b)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.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 (fabs.f64 b) (*.f64 (fabs.f64 b) #s(literal 1 binary64)))
(*.f64 (fabs.f64 b) (neg.f64 (neg.f64 (fabs.f64 b))))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 (neg.f64 b) (*.f64 (neg.f64 b) #s(literal 1 binary64)))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 (*.f64 b b) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 b b))
(*.f64 b (*.f64 b #s(literal 1 binary64)))
(*.f64 b b)
(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 (*.f64 (*.f64 b b) #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 (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)))
(neg.f64 (*.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(neg.f64 (*.f64 (*.f64 b b) #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 b) b))
(sqrt.f64 (*.f64 (*.f64 b b) (*.f64 b b)))
(fabs.f64 (*.f64 (neg.f64 b) b))
(fabs.f64 (*.f64 b b))
(exp.f64 (*.f64 (log.f64 (fabs.f64 b)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 b)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 b b) #s(literal 0 binary64)))
(+.f64 (*.f64 b b) (*.f64 #s(literal 0 binary64) (*.f64 b b)))
(*.f64 (*.f64 (neg.f64 (fabs.f64 a)) #s(literal 1 binary64)) (*.f64 (neg.f64 (fabs.f64 a)) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 (fabs.f64 a)) #s(literal -1 binary64)) (*.f64 (neg.f64 (fabs.f64 a)) #s(literal -1 binary64)))
(*.f64 (*.f64 (fabs.f64 a) #s(literal -1 binary64)) (*.f64 (fabs.f64 a) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 a))) (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 a))))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 a))) (neg.f64 (fabs.f64 a)))
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 a))) (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 a))))
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 a))) (fabs.f64 a))
(*.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 a)) (*.f64 #s(literal -1 binary64) (fabs.f64 a)))
(*.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 a)) (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))))
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(134-z0z1z2z3z4 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 a (*.f64 (neg.f64 a) a)) a #s(literal -1 binary64))
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(134-z0z1z2z3z4 #s(literal 1 binary64) (/.f64 a a) (*.f64 (*.f64 b (/.f64 b a)) #s(literal -1/2 binary64)) a #s(literal -1 binary64))
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(134-z0z1z2z3z4 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 b (*.f64 a a)) b) a #s(literal -1 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) (*.f64 (*.f64 b a) (/.f64 b (*.f64 a a))) #s(literal -1/2 binary64) (neg.f64 a) #s(literal 1 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) (*.f64 (*.f64 b a) (/.f64 b (*.f64 a a))) #s(literal -1/2 binary64) #s(literal 1 binary64) (neg.f64 a))
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(134-z0z1z2z3z4 #s(literal 1 binary64) (*.f64 (*.f64 b a) (/.f64 b (*.f64 a a))) #s(literal -1/2 binary64) a #s(literal -1 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 b b) #s(literal -1/2 binary64)) a) (/.f64 #s(literal 1 binary64) (*.f64 a a)) (neg.f64 a) #s(literal 1 binary64))
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(134-z0z1z2z3z4 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 b (/.f64 b (fabs.f64 a)))) (/.f64 a (fabs.f64 a)) #s(literal -1 binary64) a)
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(134-z0z1z2z3z4 #s(literal 1 binary64) (*.f64 (*.f64 b (/.f64 b a)) #s(literal 1/2 binary64)) (/.f64 a (neg.f64 a)) (neg.f64 a) #s(literal 1 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) (*.f64 (*.f64 b (/.f64 b a)) #s(literal 1/2 binary64)) (/.f64 a (neg.f64 a)) #s(literal 1 binary64) (neg.f64 a))
(134-z0z1z2z3z4 #s(literal 1 binary64) (*.f64 (*.f64 b (/.f64 b a)) #s(literal 1/2 binary64)) (/.f64 a (neg.f64 a)) #s(literal -1 binary64) a)
(134-z0z1z2z3z4 #s(literal 1 binary64) (*.f64 (*.f64 b (/.f64 b a)) #s(literal 1/2 binary64)) (/.f64 a (neg.f64 a)) a #s(literal -1 binary64))
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(134-z0z1z2z3z4 #s(literal 1 binary64) (*.f64 (*.f64 b (/.f64 b a)) #s(literal -1/2 binary64)) (/.f64 a a) #s(literal 1 binary64) (neg.f64 a))
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(134-z0z1z2z3z4 #s(literal 1 binary64) (*.f64 (*.f64 b (/.f64 b a)) #s(literal -1/2 binary64)) (/.f64 a a) a #s(literal -1 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (fabs.f64 a)) (*.f64 (*.f64 b (/.f64 b (fabs.f64 a))) a) (neg.f64 a) #s(literal 1 binary64))
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(134-z0z1z2z3z4 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (fabs.f64 a)) (*.f64 (*.f64 b (/.f64 b (fabs.f64 a))) a) #s(literal -1 binary64) a)
(134-z0z1z2z3z4 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (fabs.f64 a)) (*.f64 (*.f64 b (/.f64 b (fabs.f64 a))) a) a #s(literal -1 binary64))
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(134-z0z1z2z3z4 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a) (*.f64 (*.f64 b (/.f64 (neg.f64 b) a)) a) a #s(literal -1 binary64))
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(134-z0z1z2z3z4 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 b (/.f64 b a)) a) a #s(literal -1 binary64))
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(134-z0z1z2z3z4 #s(literal 1 binary64) (fabs.f64 (/.f64 b a)) (*.f64 (fabs.f64 (/.f64 b a)) (*.f64 #s(literal -1/2 binary64) a)) a #s(literal -1 binary64))
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(134-z0z1z2z3z4 #s(literal 1 binary64) (/.f64 (neg.f64 b) (fabs.f64 a)) (*.f64 (/.f64 (neg.f64 b) (fabs.f64 a)) (*.f64 #s(literal -1/2 binary64) a)) a #s(literal -1 binary64))
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(134-z0z1z2z3z4 #s(literal 1 binary64) (/.f64 b a) (*.f64 (/.f64 b a) (*.f64 #s(literal -1/2 binary64) a)) a #s(literal -1 binary64))
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(134-z0z1z2z3z4 #s(literal 1 binary64) (/.f64 (neg.f64 b) a) (*.f64 (/.f64 (neg.f64 b) a) (*.f64 #s(literal -1/2 binary64) a)) a #s(literal -1 binary64))
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(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 a b) b) (*.f64 (-.f64 a b) a))) (*.f64 (-.f64 a b) a))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (*.f64 (neg.f64 b) b))) (*.f64 (neg.f64 b) b))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 b a) a) (*.f64 (-.f64 a b) b))) (*.f64 (-.f64 a b) b))
(*.f64 (+.f64 (fabs.f64 b) a) (-.f64 a (fabs.f64 b)))
(*.f64 (-.f64 (fabs.f64 b) a) (neg.f64 (+.f64 (fabs.f64 b) a)))
(*.f64 (neg.f64 (+.f64 (fabs.f64 a) b)) (-.f64 b (fabs.f64 a)))
(*.f64 (-.f64 b (fabs.f64 a)) (neg.f64 (+.f64 (fabs.f64 a) b)))
(*.f64 (-.f64 (fabs.f64 a) (fabs.f64 b)) (+.f64 (fabs.f64 a) (fabs.f64 b)))
(*.f64 (+.f64 (fabs.f64 a) (fabs.f64 b)) (-.f64 (fabs.f64 a) (fabs.f64 b)))
(*.f64 (+.f64 (fabs.f64 a) b) (-.f64 (fabs.f64 a) b))
(*.f64 (-.f64 (fabs.f64 a) b) (+.f64 (fabs.f64 a) b))
(*.f64 (neg.f64 (+.f64 (fabs.f64 b) a)) (-.f64 (fabs.f64 b) a))
(*.f64 (-.f64 (neg.f64 a) b) (-.f64 b a))
(*.f64 (-.f64 a (fabs.f64 b)) (+.f64 (fabs.f64 b) a))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 a b) a) (*.f64 (-.f64 a b) b))) (*.f64 (-.f64 a b) b))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 b) (/.f64 b (*.f64 a a)))) (*.f64 a a))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 b a) (-.f64 a b)))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 b a) (-.f64 a b)))))
(*.f64 (-.f64 b a) (-.f64 (neg.f64 a) b))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b)) (*.f64 a a))
(*.f64 (sqrt.f64 (+.f64 b a)) (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (*.f64 (+.f64 b a) (-.f64 a b)))))
(*.f64 (sqrt.f64 (-.f64 a b)) (*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (*.f64 (+.f64 b a) (-.f64 a b)))))
(*.f64 (+.f64 b a) (-.f64 a b))
(*.f64 (-.f64 a b) (+.f64 b a))
(*.f64 (sqrt.f64 (*.f64 (+.f64 b a) (-.f64 a b))) (sqrt.f64 (*.f64 (+.f64 b a) (-.f64 a b))))
(pow.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (+.f64 b a) (-.f64 a b))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (+.f64 b a) (-.f64 a b)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 b a) (-.f64 a b))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 b a) a) (*.f64 (+.f64 b a) a)) (*.f64 (*.f64 (neg.f64 b) (+.f64 b a)) (*.f64 (neg.f64 b) (+.f64 b a)))) (-.f64 (*.f64 (+.f64 b a) a) (*.f64 (neg.f64 b) (+.f64 b a))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 a b) a) (*.f64 (-.f64 a b) a)) (*.f64 (*.f64 (-.f64 a b) b) (*.f64 (-.f64 a b) b))) (-.f64 (*.f64 (-.f64 a b) a) (*.f64 (-.f64 a b) b)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 b) b)) (*.f64 (*.f64 a a) (*.f64 a a))) (-.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 a b) b) (*.f64 (-.f64 a b) b)) (*.f64 (*.f64 (-.f64 b a) a) (*.f64 (-.f64 b a) a))) (+.f64 (*.f64 (-.f64 a b) b) (*.f64 (-.f64 b a) a)))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 b a) a) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 b) (+.f64 b a)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (+.f64 b a) a) (*.f64 (+.f64 b a) a)) (-.f64 (*.f64 (*.f64 (neg.f64 b) (+.f64 b a)) (*.f64 (neg.f64 b) (+.f64 b a))) (*.f64 (*.f64 (+.f64 b a) a) (*.f64 (neg.f64 b) (+.f64 b a))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 a b) a) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 a b) b) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (-.f64 a b) a) (*.f64 (-.f64 a b) a)) (-.f64 (*.f64 (*.f64 (-.f64 a b) b) (*.f64 (-.f64 a b) b)) (*.f64 (*.f64 (-.f64 a b) a) (*.f64 (-.f64 a b) b)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 b) b) #s(literal 3 binary64)) (pow.f64 (*.f64 a a) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 b) b)) (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 a b) b) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 b a) a) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (-.f64 a b) b) (*.f64 (-.f64 a b) b)) (+.f64 (*.f64 (*.f64 (-.f64 b a) a) (*.f64 (-.f64 b a) a)) (*.f64 (*.f64 (-.f64 a b) b) (*.f64 (-.f64 b a) a)))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 a b) b) (*.f64 (-.f64 a b) b)) (*.f64 (*.f64 (-.f64 a b) a) (*.f64 (-.f64 a b) a))) (-.f64 (*.f64 (-.f64 a b) b) (*.f64 (-.f64 a b) a)))
(/.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 b) b))) (-.f64 (*.f64 a a) (*.f64 (neg.f64 b) b)))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 a b) b) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 a b) a) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (-.f64 a b) b) (*.f64 (-.f64 a b) b)) (-.f64 (*.f64 (*.f64 (-.f64 a b) a) (*.f64 (-.f64 a b) a)) (*.f64 (*.f64 (-.f64 a b) b) (*.f64 (-.f64 a b) a)))))
(/.f64 (+.f64 (pow.f64 (*.f64 a a) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 b) b) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 (*.f64 (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 b) b)) (*.f64 (*.f64 a a) (*.f64 (neg.f64 b) b)))))
(/.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 b b))) (+.f64 (*.f64 a a) (*.f64 b b)))
(/.f64 (-.f64 (pow.f64 (*.f64 a a) #s(literal 3 binary64)) (pow.f64 (*.f64 b b) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 b b)))))
(neg.f64 (*.f64 (-.f64 b a) (+.f64 b a)))
(-.f64 (*.f64 (+.f64 b a) a) (*.f64 b (+.f64 b a)))
(-.f64 (*.f64 (+.f64 b a) a) (*.f64 (-.f64 (neg.f64 a) b) (neg.f64 b)))
(-.f64 (*.f64 (+.f64 b a) a) (neg.f64 (*.f64 (neg.f64 b) (+.f64 b a))))
(-.f64 (*.f64 (-.f64 a b) a) (*.f64 (neg.f64 b) (-.f64 a b)))
(-.f64 (*.f64 (-.f64 a b) a) (*.f64 (-.f64 b a) b))
(-.f64 (*.f64 (-.f64 a b) b) (*.f64 (-.f64 b a) a))
(-.f64 (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 a) a))
(-.f64 (*.f64 a a) (*.f64 b b))
(sqrt.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.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 a b)))
(+.f64 (+.f64 (*.f64 (-.f64 a b) a) (*.f64 b a)) (*.f64 (neg.f64 b) b))
(+.f64 (+.f64 (*.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) (+.f64 (*.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) (+.f64 (*.f64 (neg.f64 b) a) (*.f64 (-.f64 a b) b)))
(+.f64 (*.f64 a a) (*.f64 (neg.f64 b) 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 (neg.f64 (+.f64 (fabs.f64 b) a))))
(*.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 (neg.f64 (+.f64 (fabs.f64 b) a)) #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)))
(*.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 (neg.f64 (+.f64 (fabs.f64 b) a))))
(*.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 (neg.f64 (+.f64 (fabs.f64 b) a)) #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)))

eval5.9s (78.4%)

Memory
-279.9MiB live, 5 736.0MiB allocated; 3.4s collecting garbage
Samples
4.7s59 484×0valid
226.0ms4 004×0invalid
Compiler

Compiled 25 687 to 4 300 computations (83.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-mult!: 864.0ms (75.7% of total)
ival-sub!: 188.0ms (16.5% of total)
adjust: 89.0ms (7.8% of total)

prune17.0ms (0.2%)

Memory
-14.6MiB live, 31.8MiB allocated; 4ms collecting garbage
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1 01131 014
Fresh000
Picked404
Done-220
Total1 01351 018
Accuracy
100.0%
Counts
1 018 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
0.0%
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 b a)))
0.3%
(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
0.8%
#s(approx (sqrt (- (* a a) (* b b))) (+.f64 a (*.f64 (*.f64 b (/.f64 b a)) #s(literal -1/2 binary64))))
5.0%
#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 70 to 51 computations (27.1% saved)

series22.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01761007
Stop Event
iter-limit
Counts
14 → 37
Calls
Call 1
Inputs
a
b
(neg.f64 a)
#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 a))
#s(literal 1 binary64)
#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 (sqrt (- (* a a) (* b b))) (*.f64 a #s(approx (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))) #s(literal 1 binary64))))
(/.f64 b a)
(*.f64 b (/.f64 b a))
#s(literal -1/2 binary64)
(*.f64 (*.f64 b (/.f64 b a)) #s(literal -1/2 binary64))
(+.f64 a (*.f64 (*.f64 b (/.f64 b a)) #s(literal -1/2 binary64)))
#s(approx (sqrt (- (* a a) (* b b))) (+.f64 a (*.f64 (*.f64 b (/.f64 b a)) #s(literal -1/2 binary64))))
Outputs
#s(approx a a)
#s(approx (neg a) (*.f64 #s(literal -1 binary64) a))
#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)) (+.f64 (*.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)) (+.f64 (*.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 (* -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 (+.f64 (*.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 (* 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 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 b #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64))) a))
#s(approx (/ b a) (/.f64 b a))
#s(approx (* b (/ b a)) (/.f64 (pow.f64 b #s(literal 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)))))))
#s(approx (sqrt (- (* a a) (* b b))) (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.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) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (+.f64 (*.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) (+.f64 (*.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) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (+.f64 (*.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 b b)
#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)) (+.f64 (*.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)) (+.f64 (*.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 (*.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 (+ 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 (* 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 (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)) (+.f64 (*.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)) (+.f64 (*.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 (*.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:

TimeVariablePoint
2.0ms
b
inf
2.0ms
a
-inf
2.0ms
b
-inf
2.0ms
a
inf
1.0ms
b
0

rewrite125.0ms (1.7%)

Memory
-4.6MiB live, 135.8MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024111
030111
1144111
2612105
32844105
04002105
Stop Event
iter-limit
node-limit
iter-limit
Counts
14 → 80
Calls
Call 1
Inputs
a
b
(neg.f64 a)
#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 a))
#s(literal 1 binary64)
#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 (sqrt (- (* a a) (* b b))) (*.f64 a #s(approx (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))) #s(literal 1 binary64))))
(/.f64 b a)
(*.f64 b (/.f64 b a))
#s(literal -1/2 binary64)
(*.f64 (*.f64 b (/.f64 b a)) #s(literal -1/2 binary64))
(+.f64 a (*.f64 (*.f64 b (/.f64 b a)) #s(literal -1/2 binary64)))
#s(approx (sqrt (- (* a a) (* b b))) (+.f64 a (*.f64 (*.f64 b (/.f64 b a)) #s(literal -1/2 binary64))))
Outputs
a
b
(neg.f64 a)
#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 a))
#s(literal 1 binary64)
#s(approx (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))) #s(literal 1 binary64))
(*.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 (sqrt (- (* a a) (* b b))) (*.f64 #s(approx (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))) #s(literal 1 binary64)) a))
(*.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 (*.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 #s(literal 1 binary64) (/.f64 (neg.f64 a) (neg.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(/.f64 b a)
(neg.f64 (/.f64 (neg.f64 b) a))
(*.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 (neg.f64 b) a))
(*.f64 (/.f64 b a) b)
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) a))
(*.f64 b (/.f64 b a))
(/.f64 (*.f64 (*.f64 b b) #s(literal -1 binary64)) (neg.f64 a))
(/.f64 (*.f64 (neg.f64 b) b) (neg.f64 a))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) (*.f64 (neg.f64 b) b)))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b b)))
(/.f64 (*.f64 b b) a)
(neg.f64 (/.f64 (*.f64 (neg.f64 b) b) a))
#s(literal -1/2 binary64)
(*.f64 (*.f64 (fabs.f64 b) #s(literal -1/2 binary64)) (/.f64 (fabs.f64 b) a))
(*.f64 (*.f64 (neg.f64 b) #s(literal -1/2 binary64)) (/.f64 (neg.f64 b) a))
(*.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 b a))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) b)
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 (*.f64 (neg.f64 b) b) a) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))
(*.f64 (fabs.f64 b) (*.f64 (/.f64 (fabs.f64 b) a) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 b) (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1/2 binary64) b)))
(*.f64 (neg.f64 b) (*.f64 #s(literal 1/2 binary64) (/.f64 b a)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 b) b) a))
(*.f64 (*.f64 (/.f64 b a) b) #s(literal -1/2 binary64))
(*.f64 (/.f64 b a) (*.f64 #s(literal -1/2 binary64) b))
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 b a) b))
(*.f64 (*.f64 b b) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 b (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) (neg.f64 a))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -1/2 binary64) (*.f64 b b))))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 b a) b)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) (*.f64 (*.f64 (/.f64 b a) b) #s(literal -1/2 binary64)))) (*.f64 (*.f64 (/.f64 b a) b) #s(literal -1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (*.f64 (/.f64 b a) b) #s(literal -1/2 binary64)))) (*.f64 (*.f64 (/.f64 b a) b) #s(literal -1/2 binary64)))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 b (*.f64 a a))) #s(literal -1 binary64)) a)
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 b a) b) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 (/.f64 b a) b) #s(literal -1/2 binary64)) (*.f64 (*.f64 (/.f64 b a) b) #s(literal -1/2 binary64))) (+.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (/.f64 b a) b) #s(literal -1/2 binary64)) (neg.f64 a)))))
(/.f64 (-.f64 (*.f64 a a) (*.f64 #s(literal 1/2 binary64) (*.f64 b b))) a)
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 b a) b) #s(literal -1/2 binary64)) (*.f64 (*.f64 (/.f64 b a) b) #s(literal -1/2 binary64))) (*.f64 a a)) (+.f64 (*.f64 (*.f64 (/.f64 b a) b) #s(literal -1/2 binary64)) (neg.f64 a)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 b a) b) #s(literal -1/2 binary64)) (*.f64 (*.f64 (/.f64 b a) b) #s(literal -1/2 binary64))) (*.f64 a a)) (-.f64 (*.f64 (*.f64 (/.f64 b a) b) #s(literal -1/2 binary64)) a))
(/.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 b a) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 b a) b)))) (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 b a) b))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 b a) b) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 (/.f64 b a) b) #s(literal -1/2 binary64)) (*.f64 (*.f64 (/.f64 b a) b) #s(literal -1/2 binary64))) (-.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (/.f64 b a) b) #s(literal -1/2 binary64)) a))))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 b a) b)) #s(literal 3 binary64))) (+.f64 (*.f64 a a) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 b a) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 b a) b))) (*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 b a) b))))))
(/.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (/.f64 b a) b) #s(literal -1/2 binary64)) (*.f64 (*.f64 (/.f64 b a) b) #s(literal -1/2 binary64)))) (-.f64 a (*.f64 (*.f64 (/.f64 b a) b) #s(literal -1/2 binary64))))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 b a) b) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 a a) (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 b a) b) #s(literal -1/2 binary64)) (*.f64 (*.f64 (/.f64 b a) b) #s(literal -1/2 binary64))) (*.f64 a (*.f64 (*.f64 (/.f64 b a) b) #s(literal -1/2 binary64))))))
(neg.f64 (-.f64 (neg.f64 a) (*.f64 (*.f64 (/.f64 b a) b) #s(literal -1/2 binary64))))
(neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 b a) b)) 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)))
#s(approx (sqrt (- (* a a) (* b b))) (+.f64 (*.f64 (*.f64 (/.f64 b a) b) #s(literal -1/2 binary64)) a))

eval9.0ms (0.1%)

Memory
17.8MiB live, 17.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 795 to 520 computations (81.4% saved)

prune5.0ms (0.1%)

Memory
-38.7MiB live, 7.7MiB allocated; 3ms collecting garbage
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New1070107
Fresh000
Picked303
Done-352
Total1075112
Accuracy
100.0%
Counts
112 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
0.0%
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 b a)))
0.3%
(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
0.8%
#s(approx (sqrt (- (* a a) (* b b))) (+.f64 a (*.f64 (*.f64 b (/.f64 b a)) #s(literal -1/2 binary64))))
5.0%
#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 70 to 51 computations (27.1% saved)

regimes27.0ms (0.4%)

Memory
5.2MiB live, 51.5MiB allocated; 2ms collecting garbage
Counts
2 → 1
8 → 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))) (+.f64 a (*.f64 (*.f64 b (/.f64 b a)) #s(literal -1/2 binary64))))
(*.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:

3.0ms
a
3.0ms
b
3.0ms
(*.f64 b b)
2.0ms
(-.f64 (*.f64 a a) (*.f64 b b))
2.0ms
a
Results
AccuracySegmentsBranch
1.9%1(-.f64 (*.f64 a a) (*.f64 b b))
1.9%1a
1.9%1(*.f64 a a)
1.9%1(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
1.9%1(*.f64 b b)
1.9%1b
5.0%1(*.f64 b b)
5.0%1(*.f64 a a)
5.0%1(-.f64 (*.f64 a a) (*.f64 b b))
5.0%1(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
5.0%1a
5.0%1b
Compiler

Compiled 158 to 90 computations (43.0% saved)

derivations19.0ms (0.2%)

Memory
21.1MiB live, 21.1MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 35 to 20 computations (42.9% saved)

preprocess22.0ms (0.3%)

Memory
-6.8MiB live, 39.6MiB allocated; 3ms 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

Profiling

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