Linear.Quaternion:$clog from linear-1.19.1.3

Time bar (total: 1.9s)

start0.0ms (0.0%)

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

analyze32.0ms (1.7%)

Memory
-9.7MiB live, 35.2MiB allocated; 7ms 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
50.0%50.0%50.0%0.1%0.0%0.0%0.0%3
50.0%50.0%50.0%0.1%0.0%0.0%0.0%4
62.5%62.4%37.5%0.1%0.0%0.0%0.0%5
66.7%62.4%31.2%0.1%0.0%6.2%0.0%6
75.0%65.6%21.9%0.1%0.0%12.5%0.0%7
80.0%68.7%17.2%0.1%0.0%14.0%0.0%8
85.7%70.2%11.7%0.1%0.0%18.0%0.0%9
88.9%71.8%9.0%0.1%0.0%19.1%0.0%10
92.3%72.6%6.0%0.1%0.0%21.3%0.0%11
94.1%73.4%4.6%0.1%0.0%22.0%0.0%12
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample774.0ms (40.9%)

Memory
43.9MiB live, 990.5MiB allocated; 284ms collecting garbage
Samples
523.0ms8 256×0valid
16.0ms318×0invalid
Precisions
Click to see histograms. Total time spent on operations: 211.0ms
ival-mult!: 99.0ms (46.8% of total)
ival-sqrt: 81.0ms (38.3% of total)
ival-add!: 30.0ms (14.2% of total)
adjust: 2.0ms (0.9% of total)
Bogosity

preprocess52.0ms (2.7%)

Memory
-40.9MiB live, 55.3MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01738
15138
214138
330438
476438
5358138
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.6%
(sqrt.f64 (+.f64 (*.f64 x x) y))
Symmetry

(abs x)

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample0.0ms (0.0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
Outputs

series18.0ms (0.9%)

Memory
38.7MiB live, 38.7MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0153735
Stop Event
iter-limit
Counts
5 → 30
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 x x) y))
(+.f64 (*.f64 x x) y)
(*.f64 x x)
x
y
Outputs
#s(approx (sqrt (+ (* x x) y)) (sqrt.f64 y))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)))))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
#s(approx (+ (* x x) y) y)
#s(approx (+ (* x x) y) (+.f64 y (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (sqrt (+ (* x x) y)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (+ (* x x) y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (* x x) y)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 y (fma.f64 y (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 (sqrt.f64 (pow.f64 x #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 x #s(literal 2 binary64))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))))
#s(approx (+ (* x x) y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))))
#s(approx (+ (* x x) y) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64)))))
Calls

6 calls:

TimeVariablePoint
1.0ms
x
inf
1.0ms
x
0
1.0ms
x
-inf
1.0ms
y
inf
1.0ms
y
-inf

rewrite183.0ms (9.6%)

Memory
-28.1MiB live, 201.4MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0516
0816
13716
210816
336316
478916
5323716
0481714
Stop Event
iter-limit
node-limit
iter-limit
Counts
5 → 258
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 x x) y))
(+.f64 (*.f64 x x) y)
(*.f64 x x)
x
y
Outputs
(*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) (*.f64 (neg.f64 (fma.f64 x x y)) (sqrt.f64 (fma.f64 x x y)))) #s(literal 1/8 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) (*.f64 (sqrt.f64 (fma.f64 x x y)) (fma.f64 x x y))) #s(literal 1/8 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x x y)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) (neg.f64 (fma.f64 x x y))) #s(literal 1/8 binary64)) (pow.f64 (neg.f64 (fma.f64 x x y)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) (neg.f64 (sqrt.f64 (fma.f64 x x y)))) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (neg.f64 (fma.f64 x x y)) (sqrt.f64 (fma.f64 x x y))) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) (sqrt.f64 (fma.f64 x x y))) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x x y)) (fma.f64 x x y)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) (fma.f64 x x y)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x x y)) (fma.f64 x x y)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x x y)) (*.f64 (fma.f64 x x y) (fma.f64 x x y))) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 (fma.f64 x x y)) (sqrt.f64 (fma.f64 x x y))) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) (*.f64 (fma.f64 x x y) (fma.f64 x x y))) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 (fma.f64 x x y)) (fma.f64 x x y)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (neg.f64 (fma.f64 x x y)) (fma.f64 x x y)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (neg.f64 (fma.f64 x x y)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (neg.f64 (fma.f64 x x y)) (*.f64 (fma.f64 x x y) (fma.f64 x x y))) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 (fma.f64 x x y)) (sqrt.f64 (fma.f64 x x y))) (*.f64 (fma.f64 x x y) (fma.f64 x x y))) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x y)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 x x y)) (fma.f64 x x y)) (*.f64 (fma.f64 x x y) (fma.f64 x x y))) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 (fma.f64 x x y)) (sqrt.f64 (fma.f64 x x y))) (*.f64 (neg.f64 (fma.f64 x x y)) (sqrt.f64 (fma.f64 x x y)))) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 x x y)) (fma.f64 x x y)) (*.f64 (sqrt.f64 (fma.f64 x x y)) (fma.f64 x x y))) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (fma.f64 x x y) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 (fma.f64 x x y)) (sqrt.f64 (fma.f64 x x y))) (*.f64 (neg.f64 (fma.f64 x x y)) (sqrt.f64 (fma.f64 x x y)))) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (fma.f64 x x y) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 x x y)) (fma.f64 x x y)) (*.f64 (sqrt.f64 (fma.f64 x x y)) (fma.f64 x x y))) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (fma.f64 x x y) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (fma.f64 x x y) (*.f64 (fma.f64 x x y) (fma.f64 x x y))) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x x y)) (fma.f64 x x y)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x x y)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (fma.f64 x x y)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (fma.f64 x x y)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 (fma.f64 x x y)) (sqrt.f64 (fma.f64 x x y))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 (fma.f64 x x y)) (sqrt.f64 (fma.f64 x x y))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x y)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x x y)) (fma.f64 x x y)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 x x y) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y)))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y)))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x y))) (sqrt.f64 (sqrt.f64 (fma.f64 x x y))))
(*.f64 (pow.f64 (fma.f64 x x y) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (fma.f64 x x y) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x x y)) (pow.f64 (fma.f64 x x y) #s(literal 0 binary64)))
(pow.f64 (pow.f64 (fma.f64 x x y) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) #s(literal 1/4 binary64))
(pow.f64 (fma.f64 x x y) #s(literal 1/2 binary64))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))))
(sqrt.f64 (fma.f64 x x y))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))))
(fabs.f64 (sqrt.f64 (fma.f64 x x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) (*.f64 (neg.f64 (fma.f64 x x y)) (sqrt.f64 (fma.f64 x x y)))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) (*.f64 (sqrt.f64 (fma.f64 x x y)) (fma.f64 x x y))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x x y)) #s(literal 1/4 binary64)))
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(*.f64 (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (fabs.f64 x) x) x) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (fabs.f64 x) (neg.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 x) (neg.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (fabs.f64 x) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 x) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (fabs.f64 x) x) (neg.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) x) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (fabs.f64 x) x) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (fabs.f64 x) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (fabs.f64 x) (neg.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (fabs.f64 x) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 (fabs.f64 x) x) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (fabs.f64 x) x) (neg.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) x) (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) x) (neg.f64 x)) (*.f64 (*.f64 (fabs.f64 x) x) (neg.f64 x))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) x) x) (*.f64 (*.f64 (fabs.f64 x) x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (*.f64 (*.f64 (neg.f64 x) x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 (fabs.f64 x)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 0 binary64)) (*.f64 x x))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (neg.f64 (fabs.f64 x)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (fabs.f64 x) x) (neg.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (fabs.f64 x) x) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (fabs.f64 x))) (sqrt.f64 (*.f64 (*.f64 (fabs.f64 x) x) (neg.f64 x))))
(*.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (*.f64 (*.f64 (fabs.f64 x) x) x)))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (*.f64 (*.f64 (neg.f64 x) x) x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (*.f64 x x) x)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 x x) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 0 binary64)))
(*.f64 (*.f64 x x) (pow.f64 (fabs.f64 x) #s(literal 0 binary64)))
(*.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 0 binary64)))
(*.f64 (*.f64 x x) (pow.f64 x #s(literal 0 binary64)))
(*.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 0 binary64)))
(*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) #s(literal 0 binary64)))
(*.f64 x x)
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (pow.f64 (*.f64 x x) #s(literal 0 binary64)) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)))
(/.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (fabs.f64 x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 (*.f64 x x) (pow.f64 (*.f64 x x) #s(literal 0 binary64)))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x))
(fabs.f64 (*.f64 (fabs.f64 x) (neg.f64 x)))
(fabs.f64 (*.f64 (fabs.f64 x) x))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
y

eval34.0ms (1.8%)

Memory
6.9MiB live, 51.7MiB allocated; 6ms collecting garbage
Compiler

Compiled 5 211 to 1 067 computations (79.5% saved)

prune5.0ms (0.3%)

Memory
14.4MiB live, 14.4MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New2804284
Fresh000
Picked101
Done000
Total2814285
Accuracy
99.8%
Counts
285 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.6%
(sqrt.f64 (fma.f64 x x y))
33.7%
(sqrt.f64 #s(approx (+ (* x x) y) y))
68.9%
#s(approx (sqrt (+ (* x x) y)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))
1.3%
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) x))
Compiler

Compiled 41 to 32 computations (22.0% saved)

sample0.0ms (0.0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
-1
1
1/2
2
Outputs
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 6 to 6 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series25.0ms (1.3%)

Memory
-13.2MiB live, 37.6MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0193986
Stop Event
iter-limit
Counts
18 → 43
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(approx (sqrt (+ (* x x) y)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(/.f64 y (pow.f64 x #s(literal 2 binary64)))
y
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 #s(approx (+ (* x x) y) y))
#s(approx (+ (* x x) y) y)
(sqrt.f64 (fma.f64 x x y))
(fma.f64 x x y)
Outputs
#s(approx (sqrt (+ (* x x) y)) (sqrt.f64 y))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)))))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
#s(approx (* -1 x) (*.f64 #s(literal -1 binary64) x))
#s(approx x x)
#s(approx (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
#s(approx (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (pow.f64 x #s(literal 2 binary64))) x))
#s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ y (pow x 2)) (/.f64 y (pow.f64 x #s(literal 2 binary64))))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (* x x) y) y)
#s(approx (+ (* x x) y) (+.f64 y (pow.f64 x #s(literal 2 binary64))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64))
#s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (* x x) y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))))
#s(approx (sqrt (+ (* x x) y)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 y (fma.f64 y (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 (sqrt.f64 (pow.f64 x #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 x #s(literal 2 binary64))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))))
#s(approx (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 x y))))
#s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* x x) y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))))
#s(approx (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))))
#s(approx (+ (* x x) y) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64)))))
Calls

6 calls:

TimeVariablePoint
3.0ms
y
-inf
2.0ms
x
0
2.0ms
y
inf
1.0ms
x
inf
1.0ms
x
-inf

rewrite166.0ms (8.7%)

Memory
12.5MiB live, 248.2MiB allocated; 70ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02192
02990
110790
240482
3191882
0433479
Stop Event
iter-limit
node-limit
iter-limit
Counts
18 → 816
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(approx (sqrt (+ (* x x) y)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(/.f64 y (pow.f64 x #s(literal 2 binary64)))
y
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 #s(approx (+ (* x x) y) y))
#s(approx (+ (* x x) y) y)
(sqrt.f64 (fma.f64 x x y))
(fma.f64 x x y)
Outputs
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
#s(literal -1 binary64)
x
#s(approx (sqrt (+ (* x x) y)) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 y x) #s(literal 1/2 binary64)))) (*.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) x))
(*.f64 x (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 x (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (fabs.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 y (fabs.f64 x)))))) (*.f64 #s(literal 2 binary64) (fabs.f64 x)))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (*.f64 (/.f64 y x) #s(literal -1/2 binary64))))) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (*.f64 (/.f64 y x) #s(literal 1/2 binary64))))) (*.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal -1/2 binary64) y)))) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) y)))) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) x))) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) x)))) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) y) x))) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (fabs.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 y (fabs.f64 x)))))) (*.f64 #s(literal 2 binary64) (fabs.f64 x)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (neg.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (*.f64 (/.f64 y x) #s(literal -1/2 binary64))))) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (*.f64 (/.f64 y x) #s(literal 1/2 binary64))))) (*.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 x) x)) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal -1/2 binary64) y)))) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) y)))) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) x))) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) x)))) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 x) x)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) y) x))) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) y (*.f64 x x)))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 x x)) x)) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) x))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) y (*.f64 x x))) (*.f64 x x))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 x x)) x) (*.f64 x x))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) (*.f64 (/.f64 y x) #s(literal 1/2 binary64))) (*.f64 x x)) (-.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) (*.f64 (/.f64 y x) #s(literal -1/2 binary64)))) (+.f64 x (*.f64 (/.f64 y x) #s(literal -1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) x))))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) (*.f64 x (*.f64 (/.f64 y x) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) (*.f64 (/.f64 y x) #s(literal 1/2 binary64)))) (-.f64 x (*.f64 (/.f64 y x) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) (*.f64 (/.f64 y x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (/.f64 y x) #s(literal 1/2 binary64))))))
(neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 x x)) #s(literal -1 binary64)) x))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 x x)) #s(literal -1 binary64))))
(neg.f64 (-.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) x))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) y x)
(fma.f64 (*.f64 (*.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x x)
(fma.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (fabs.f64 x))) (/.f64 y (fabs.f64 x)) x)
(fma.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (neg.f64 y) x) x)
(fma.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) x)) (/.f64 y x) x)
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) x)
(fma.f64 (*.f64 x y) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(fma.f64 (/.f64 (neg.f64 x) (fabs.f64 x)) (/.f64 (*.f64 #s(literal -1/2 binary64) y) (fabs.f64 x)) x)
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) (fabs.f64 x)) (/.f64 (neg.f64 x) (fabs.f64 x)) x)
(fma.f64 (/.f64 x #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 x x))) x)
(fma.f64 (copysign.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 y (fabs.f64 x))) x)
(fma.f64 (/.f64 (neg.f64 x) x) (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) x)
(fma.f64 (/.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64)) x)
(fma.f64 (/.f64 x (*.f64 x x)) (/.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64)) (/.f64 x (*.f64 x x)) x)
(fma.f64 (/.f64 x (*.f64 (neg.f64 x) x)) (/.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)) (/.f64 x (*.f64 (neg.f64 x) x)) x)
(fma.f64 (/.f64 x x) (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) x)
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y (*.f64 x x)) x)
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y (fabs.f64 x))) (copysign.f64 #s(literal 1 binary64) x) x)
(fma.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) (/.f64 (neg.f64 x) x) x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (*.f64 (/.f64 y (fabs.f64 x)) x) x)
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (/.f64 (neg.f64 y) x) x) x)
(fma.f64 (/.f64 y x) #s(literal 1/2 binary64) x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 y x) x) x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 y #s(literal 1 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) (/.f64 x x) x)
(fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64) x)
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 x x))) (/.f64 x #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) x) x)
(fma.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 (*.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 x #s(literal 1 binary64)) x)
(fma.f64 (*.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64)) x x)
(fma.f64 (/.f64 y (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) x)
(fma.f64 y (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) x)
(fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 x (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64))) x)
(fma.f64 x (*.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64)) x)
(-.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) (neg.f64 x))
(-.f64 x (*.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) x)
(+.f64 x (*.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64)))) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64)))) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)) y) #s(literal 2 binary64)) (*.f64 (fabs.f64 x) #s(literal -2 binary64))) (*.f64 (fabs.f64 x) #s(literal 2 binary64)))
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(fabs.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) (sqrt.f64 (fma.f64 x x y)))))
(fabs.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 x x y)) (neg.f64 (sqrt.f64 (fma.f64 x x y))))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y)))) (neg.f64 (sqrt.f64 (fma.f64 x x y)))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y)))) (sqrt.f64 (fma.f64 x x y))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))))))
(fabs.f64 (*.f64 (sqrt.f64 (fma.f64 x x y)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))))))
(fabs.f64 (fma.f64 (neg.f64 x) x (neg.f64 y)))
(fabs.f64 (-.f64 (*.f64 (neg.f64 x) x) y))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) (sqrt.f64 (fma.f64 x x y))))
(fabs.f64 (*.f64 (sqrt.f64 (fma.f64 x x y)) (neg.f64 (sqrt.f64 (fma.f64 x x y)))))
(fabs.f64 (neg.f64 (fma.f64 x x y)))
(fabs.f64 (fma.f64 x x y))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1 binary64)))
(+.f64 (*.f64 x x) y)
(+.f64 y (*.f64 x x))

eval151.0ms (7.9%)

Memory
4.9MiB live, 236.8MiB allocated; 43ms collecting garbage
Compiler

Compiled 18 753 to 3 863 computations (79.4% saved)

prune43.0ms (2.3%)

Memory
-6.6MiB live, 39.5MiB allocated; 5ms collecting garbage
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New8452847
Fresh000
Picked224
Done000
Total8474851
Accuracy
99.8%
Counts
851 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.6%
(sqrt.f64 (fma.f64 x x y))
33.7%
(sqrt.f64 #s(approx (+ (* x x) y) y))
68.8%
#s(approx (sqrt (+ (* x x) y)) (*.f64 x #s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64))))
1.3%
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))
Compiler

Compiled 42 to 33 computations (21.4% saved)

sample0.0ms (0.0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
Outputs
#s(literal 1 binary64)
Samples
0.0ms0valid
Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series12.0ms (0.6%)

Memory
25.2MiB live, 25.2MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177903
Stop Event
iter-limit
Counts
7 → 36
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))
(neg.f64 x)
x
#s(approx (sqrt (+ (* x x) y)) (*.f64 x #s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64))))
(*.f64 x #s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64)))
#s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
#s(approx (sqrt (+ (* x x) y)) (sqrt.f64 y))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)))))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx x x)
#s(approx (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
#s(approx (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (pow.f64 x #s(literal 2 binary64))) x))
#s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64))
#s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))))
#s(approx (sqrt (+ (* x x) y)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 y (fma.f64 y (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 (sqrt.f64 (pow.f64 x #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 x #s(literal 2 binary64))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))))
#s(approx (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 x y))))
#s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))))
#s(approx (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))))
Calls

6 calls:

TimeVariablePoint
1.0ms
x
-inf
1.0ms
x
0
1.0ms
x
inf
0.0ms
y
-inf
0.0ms
y
inf

rewrite116.0ms (6.1%)

Memory
-10.2MiB live, 230.9MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01757
01957
18757
229757
3122757
0400552
Stop Event
iter-limit
node-limit
iter-limit
Counts
7 → 8
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))
(neg.f64 x)
x
#s(approx (sqrt (+ (* x x) y)) (*.f64 x #s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64))))
(*.f64 x #s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64)))
#s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))
(neg.f64 x)
x
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64)) x))
(*.f64 #s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64)) x)
(*.f64 x #s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64)))
#s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64))
#s(literal 1 binary64)

eval4.0ms (0.2%)

Memory
11.8MiB live, 11.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 078 to 199 computations (81.5% saved)

prune2.0ms (0.1%)

Memory
6.0MiB live, 6.0MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New38038
Fresh000
Picked022
Done022
Total38442
Accuracy
99.8%
Counts
42 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.6%
(sqrt.f64 (fma.f64 x x y))
33.7%
(sqrt.f64 #s(approx (+ (* x x) y) y))
68.8%
#s(approx (sqrt (+ (* x x) y)) (*.f64 x #s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64))))
1.3%
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))
Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes99.0ms (5.2%)

Memory
-18.4MiB live, 120.2MiB allocated; 11ms collecting garbage
Counts
1 → 1
3 → 1
4 → 2
6 → 2
7 → 2
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))
Outputs
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))
Call 2
Inputs
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))
(sqrt.f64 #s(approx (+ (* x x) y) y))
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) x))
Outputs
(sqrt.f64 #s(approx (+ (* x x) y) y))
Call 3
Inputs
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))
(sqrt.f64 #s(approx (+ (* x x) y) y))
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (* x x) y)) (*.f64 x #s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64))))
Outputs
(sqrt.f64 #s(approx (+ (* x x) y) y))
#s(approx (sqrt (+ (* x x) y)) (*.f64 x #s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64))))
Call 4
Inputs
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))
(sqrt.f64 #s(approx (+ (* x x) y) y))
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (* x x) y)) (*.f64 x #s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x y))
(sqrt.f64 (+.f64 (*.f64 x x) y))
Outputs
(sqrt.f64 (fma.f64 x x y))
#s(approx (sqrt (+ (* x x) y)) (*.f64 x #s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64))))
Call 5
Inputs
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))
(sqrt.f64 #s(approx (+ (* x x) y) y))
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (* x x) y)) (*.f64 x #s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x y))
(sqrt.f64 (+.f64 (*.f64 x x) y))
#s(approx (sqrt (+ (* x x) y)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))
Outputs
(sqrt.f64 (fma.f64 x x y))
#s(approx (sqrt (+ (* x x) y)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))
Calls

23 calls:

38.0ms
(*.f64 x x)
8.0ms
(sqrt.f64 (+.f64 (*.f64 x x) y))
5.0ms
y
3.0ms
(+.f64 (*.f64 x x) y)
3.0ms
x
Results
AccuracySegmentsBranch
1.3%1x
1.3%1(*.f64 x x)
1.3%1(+.f64 (*.f64 x x) y)
1.3%1(sqrt.f64 (+.f64 (*.f64 x x) y))
1.3%1y
33.7%1(+.f64 (*.f64 x x) y)
33.7%1(sqrt.f64 (+.f64 (*.f64 x x) y))
33.7%1y
33.7%1(*.f64 x x)
33.7%1x
90.6%2(*.f64 x x)
77.4%2(+.f64 (*.f64 x x) y)
77.4%2(sqrt.f64 (+.f64 (*.f64 x x) y))
90.6%2x
99.8%2(*.f64 x x)
99.8%2(+.f64 (*.f64 x x) y)
99.8%2(sqrt.f64 (+.f64 (*.f64 x x) y))
99.8%2x
99.8%2(*.f64 x x)
99.8%2(+.f64 (*.f64 x x) y)
99.8%2(sqrt.f64 (+.f64 (*.f64 x x) y))
99.8%2x
87.8%2y
Compiler

Compiled 154 to 112 computations (27.3% saved)

bsearch2.0ms (0.1%)

Memory
3.3MiB live, 3.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
1.0ms
3.109315373732319e+128
3.8813207331512786e+130
Samples
1.0ms16×0valid
Compiler

Compiled 32 to 30 computations (6.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)
ival-add!: 0.0ms (0.0% of total)
ival-sqrt: 0.0ms (0.0% of total)
ival-mult!: 0.0ms (0.0% of total)

bsearch0.0ms (0.0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
0.0ms
3.109315373732319e+128
3.8813207331512786e+130
Compiler

Compiled 34 to 32 computations (5.9% saved)

bsearch10.0ms (0.5%)

Memory
20.0MiB live, 20.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
1.4390294353346637e-49
8.609203945405379e-47
Samples
5.0ms128×0valid
Compiler

Compiled 233 to 202 computations (13.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sqrt: 1.0ms (48.1% of total)
ival-mult!: 1.0ms (48.1% of total)
adjust: 0.0ms (0.0% of total)
ival-add!: 0.0ms (0.0% of total)

derivations129.0ms (6.8%)

Memory
-69.7MiB live, 59.3MiB allocated; 164ms collecting garbage
Stop Event
done
Compiler

Compiled 105 to 37 computations (64.8% saved)

preprocess38.0ms (2.0%)

Memory
8.6MiB live, 99.2MiB allocated; 11ms collecting garbage
Compiler

Compiled 342 to 196 computations (42.7% saved)

end0.0ms (0.0%)

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

Profiling

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