Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, B

Time bar (total: 3.5s)

start0.0ms (0%)

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

analyze41.0ms (1.2%)

Memory
4.8MiB live, 52.1MiB allocated; 7ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
50%49.9%49.9%0.1%0%0%0%6
66.7%49.9%25%0.1%0%25%0%7
66.7%49.9%25%0.1%0%25%0%8
66.7%49.9%25%0.1%0%25%0%9
80%49.9%12.5%0.1%0%37.4%0%10
80%49.9%12.5%0.1%0%37.4%0%11
80%49.9%12.5%0.1%0%37.4%0%12
Compiler

Compiled 12 to 12 computations (0% saved)

sample1.1s (30.6%)

Memory
52.5MiB live, 1 424.5MiB allocated; 349ms collecting garbage
Samples
618.0ms8 256×0valid
125.0ms2 009×0invalid
Precisions
Click to see histograms. Total time spent on operations: 420.0ms
ival-mult!: 168.0ms (40% of total)
ival-sqrt: 143.0ms (34% of total)
ival-add!: 108.0ms (25.7% of total)
adjust: 2.0ms (0.5% of total)
Bogosity

preprocess52.0ms (1.5%)

Memory
5.0MiB live, 50.1MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03784
116282
269982
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
Compiler

Compiled 20 to 20 computations (0% saved)

series30.0ms (0.9%)

Memory
-4.4MiB live, 46.0MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099439
Stop Event
iter-limit
Counts
10 → 28
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 x (*.f64 y (sqrt.f64 z)))
x
(*.f64 y (sqrt.f64 z))
y
(sqrt.f64 z)
z
Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))))
#s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z)))
#s(approx (+ x (* y (sqrt z))) (+.f64 x (*.f64 y (sqrt.f64 z))))
#s(approx x x)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)))))
#s(approx (+ x (* y (sqrt z))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1/2 binary64)))))
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1 binary64)))))
#s(approx y y)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
#s(approx (+ x (* y (sqrt z))) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 z) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))))
#s(approx (sqrt z) (sqrt.f64 z))
#s(approx z z)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))))
#s(approx (+ x (* y (sqrt z))) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (+ x (* y (sqrt z))) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))
#s(approx (sqrt z) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))))
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
#s(approx (sqrt z) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
Calls

9 calls:

TimeVariablePoint
14.0ms
y
0
2.0ms
y
inf
1.0ms
y
-inf
1.0ms
z
-inf
1.0ms
x
-inf

rewrite147.0ms (4.2%)

Memory
-33.4MiB live, 200.1MiB allocated; 68ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
01626
15226
220226
351526
4135926
0423224
Stop Event
iter-limit
node-limit
iter-limit
Counts
10 → 97
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 x (*.f64 y (sqrt.f64 z)))
x
(*.f64 y (sqrt.f64 z))
y
(sqrt.f64 z)
z
Outputs
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y)) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (fma.f64 (sqrt.f64 z) y x)))
(*.f64 (neg.f64 (fma.f64 (sqrt.f64 z) y x)) #s(literal -1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) x))) (+.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y)))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y))))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))))))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 z) y x)))
(neg.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1/2 binary64)))
(neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))))
(neg.f64 (neg.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 z)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (neg.f64 y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 y) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) y))) (*.f64 (sqrt.f64 z) y))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 z) y))) (*.f64 (sqrt.f64 z) y))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) x)
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y)) (*.f64 (neg.f64 x) (neg.f64 x))) (+.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y) (fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y)) (*.f64 x x)) (-.f64 (*.f64 (sqrt.f64 z) y) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 (neg.f64 y) (sqrt.f64 z)))) (+.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 z) y) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y))) (-.f64 x (*.f64 (sqrt.f64 z) y)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y)) (*.f64 x (*.f64 (sqrt.f64 z) y)))))
(neg.f64 (neg.f64 (fma.f64 (sqrt.f64 z) y x)))
(fma.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 y) x)
(fma.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z)) x)
(fma.f64 (sqrt.f64 z) y x)
(fma.f64 y (sqrt.f64 z) x)
(-.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 x))
(-.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)))
(+.f64 (*.f64 (sqrt.f64 z) y) x)
(+.f64 x (*.f64 (sqrt.f64 z) y))
x
(*.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)))
y
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 (sqrt.f64 z)) z) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 z)) z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 z) z) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 z))) (sqrt.f64 (neg.f64 (sqrt.f64 z))))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) z)
(*.f64 (pow.f64 z #s(literal 0 binary64)) (sqrt.f64 z))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 z (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 z (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 z) (pow.f64 z #s(literal 0 binary64)))
(pow.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 1/8 binary64))
(pow.f64 (*.f64 z z) #s(literal 1/4 binary64))
(pow.f64 z #s(literal 1/2 binary64))
(/.f64 (pow.f64 z #s(literal 1 binary64)) (sqrt.f64 z))
(/.f64 (sqrt.f64 z) (pow.f64 z #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))
(neg.f64 (neg.f64 (sqrt.f64 z)))
(sqrt.f64 z)
(fabs.f64 (neg.f64 (sqrt.f64 z)))
(fabs.f64 (sqrt.f64 z))
(exp.f64 (*.f64 (log.f64 (*.f64 z z)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))
z

eval12.0ms (0.3%)

Memory
42.2MiB live, 42.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 027 to 448 computations (77.9% saved)

prune9.0ms (0.3%)

Memory
-20.6MiB live, 25.2MiB allocated; 5ms collecting garbage
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1099118
Fresh000
Picked101
Done000
Total1109119
Accuracy
100.0%
Counts
119 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
51.8%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y)) (*.f64 x x)) (-.f64 (*.f64 (sqrt.f64 z) y) x)))
31.6%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 z) y) x)))))
99.7%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))))))
84.1%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))))
89.9%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)))))
48.1%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
48.2%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
53.0%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 358 to 270 computations (24.6% saved)

series60.0ms (1.7%)

Memory
-12.9MiB live, 124.1MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02301347
Stop Event
iter-limit
Counts
31 → 68
Calls
Call 1
Inputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 z) y x)
(sqrt.f64 z)
z
y
x
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
(*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x z))
(/.f64 x z)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y)) (*.f64 x x)) (-.f64 (*.f64 (sqrt.f64 z) y) x)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y)) (*.f64 x x)) (-.f64 (*.f64 (sqrt.f64 z) y) x))
(-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y)) (*.f64 x x))
(*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y))
(*.f64 (sqrt.f64 z) y)
(*.f64 x x)
(-.f64 (*.f64 (sqrt.f64 z) y) x)
Outputs
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z)))
#s(approx (+ (* (sqrt z) y) x) (+.f64 x (*.f64 y (sqrt.f64 z))))
#s(approx x x)
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))
#s(approx (* 1/2 (/ x z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))
#s(approx (/ x z) (/.f64 x z))
#s(approx (- (* (* (sqrt z) y) (* (sqrt z) y)) (* x x)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 2 binary64))))
#s(approx (- (* (* (sqrt z) y) (* (sqrt z) y)) (* x x)) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 2 binary64)))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (- (* (sqrt z) y) x) (fma.f64 #s(literal -1 binary64) x (*.f64 y (sqrt.f64 z))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))))
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x)))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))))
#s(approx (- (* (* (sqrt z) y) (* (sqrt z) y)) (* x x)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (* (* (sqrt z) y) (* (sqrt z) y)) (* x x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (- (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) x))
#s(approx (- (* (sqrt z) y) x) (*.f64 x (-.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1 binary64))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1/2 binary64)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1 binary64)))))
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x)) #s(literal 1/2 binary64)))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z))))))
#s(approx (- (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))))))
#s(approx y y)
#s(approx (* y (* z (sqrt (/ 1 z)))) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* y (sqrt (/ 1 z))) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (- (* (* (sqrt z) y) (* (sqrt z) y)) (* x x)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (* (sqrt z) y) x) (-.f64 (*.f64 y (sqrt.f64 z)) x))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y z))))))
#s(approx (- (* (* (sqrt z) y) (* (sqrt z) y)) (* x x)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 z) #s(literal 2 binary64)))))
#s(approx (- (* (sqrt z) y) x) (*.f64 y (+.f64 (sqrt.f64 z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 z) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 y z)))))))
#s(approx (- (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 z) (/.f64 x y)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))))
#s(approx (sqrt z) (sqrt.f64 z))
#s(approx z z)
#s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z))
#s(approx (/ 1 z) (/.f64 #s(literal 1 binary64) z))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) z))
#s(approx (* y (sqrt (/ 1 z))) (/.f64 (*.f64 y (sqrt.f64 z)) z))
#s(approx (* (/ 1 2) (/ (- (* (* (sqrt z) y) (* (sqrt z) y)) (* x x)) (- (* (sqrt z) y) x))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (sqrt.f64 z)) x))))
#s(approx (/ (- (* (* (sqrt z) y) (* (sqrt z) y)) (* x x)) (- (* (sqrt z) y) x)) (/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (sqrt.f64 z)) x)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))
#s(approx (sqrt z) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (sqrt (/ 1 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
#s(approx (- (* (* (sqrt z) y) (* (sqrt z) y)) (* x x)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))
#s(approx (- (* (* (sqrt z) y) (* (sqrt z) y)) (* x x)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))))))
#s(approx (- (* (sqrt z) y) x) (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
#s(approx (sqrt z) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1/2 binary64) (/.f64 x z))))))
#s(approx (- (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))))
Calls

9 calls:

TimeVariablePoint
13.0ms
z
0
6.0ms
x
-inf
6.0ms
y
inf
5.0ms
z
-inf
4.0ms
x
0

rewrite147.0ms (4.2%)

Memory
52.1MiB live, 281.9MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036229
060199
1242196
2989187
04370182
Stop Event
iter-limit
node-limit
iter-limit
Counts
31 → 1 091
Calls
Call 1
Inputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 z) y x)
(sqrt.f64 z)
z
y
x
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
(*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x z))
(/.f64 x z)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y)) (*.f64 x x)) (-.f64 (*.f64 (sqrt.f64 z) y) x)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y)) (*.f64 x x)) (-.f64 (*.f64 (sqrt.f64 z) y) x))
(-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y)) (*.f64 x x))
(*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y))
(*.f64 (sqrt.f64 z) y)
(*.f64 x x)
(-.f64 (*.f64 (sqrt.f64 z) y) x)
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (*.f64 y z) y) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 y (sqrt.f64 z)) x)))
(*.f64 (fma.f64 (fabs.f64 y) (sqrt.f64 z) (fabs.f64 x)) (*.f64 (-.f64 (*.f64 (fabs.f64 y) (sqrt.f64 z)) (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) (-.f64 x (*.f64 y (sqrt.f64 z))))))
(*.f64 (fma.f64 (fabs.f64 y) (sqrt.f64 z) x) (*.f64 (-.f64 (*.f64 (fabs.f64 y) (sqrt.f64 z)) x) (/.f64 #s(literal -1/2 binary64) (-.f64 x (*.f64 y (sqrt.f64 z))))))
(*.f64 (-.f64 (*.f64 (fabs.f64 y) (sqrt.f64 z)) x) (*.f64 (fma.f64 (fabs.f64 y) (sqrt.f64 z) x) (/.f64 #s(literal -1/2 binary64) (-.f64 x (*.f64 y (sqrt.f64 z))))))
(*.f64 (fma.f64 (neg.f64 (sqrt.f64 z)) y (fabs.f64 x)) (*.f64 (-.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) (-.f64 x (*.f64 y (sqrt.f64 z))))))
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(fma.f64 x (-.f64 (*.f64 y (sqrt.f64 z)) x) (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))
(fma.f64 y (*.f64 (sqrt.f64 z) (fma.f64 y (sqrt.f64 z) x)) (*.f64 (neg.f64 x) (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 y (*.f64 y z) (*.f64 (neg.f64 x) x))
(fma.f64 (sqrt.f64 z) (*.f64 y (fma.f64 y (sqrt.f64 z) x)) (*.f64 (neg.f64 x) (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 (sqrt.f64 z) (fabs.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y)) (*.f64 (neg.f64 x) x))
(fma.f64 (sqrt.f64 z) (*.f64 (*.f64 y (sqrt.f64 z)) y) (*.f64 (neg.f64 x) x))
(fma.f64 z (*.f64 y y) (*.f64 (neg.f64 x) x))
(-.f64 (*.f64 (fma.f64 y (sqrt.f64 z) x) (*.f64 y (sqrt.f64 z))) (*.f64 (neg.f64 (fma.f64 y (sqrt.f64 z) x)) (neg.f64 x)))
(-.f64 (*.f64 (fma.f64 y (sqrt.f64 z) x) (*.f64 y (sqrt.f64 z))) (neg.f64 (*.f64 (fma.f64 y (sqrt.f64 z) x) (neg.f64 x))))
(-.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) x)) (*.f64 x (fma.f64 y (sqrt.f64 z) x)))
(-.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) x)) (neg.f64 (*.f64 (neg.f64 x) (fma.f64 y (sqrt.f64 z) x))))
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 y) z) y))
(-.f64 (*.f64 (*.f64 y z) y) (*.f64 x x))
(+.f64 (*.f64 (-.f64 (*.f64 y (sqrt.f64 z)) x) (*.f64 y (sqrt.f64 z))) (*.f64 (-.f64 (*.f64 y (sqrt.f64 z)) x) x))
(+.f64 (*.f64 (-.f64 (*.f64 y (sqrt.f64 z)) x) x) (*.f64 (-.f64 (*.f64 y (sqrt.f64 z)) x) (*.f64 y (sqrt.f64 z))))
(+.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y z) y) (*.f64 x x))) (*.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 y z) y) (*.f64 x x))))
(+.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x)) (*.f64 x (-.f64 (*.f64 y (sqrt.f64 z)) x)))
(+.f64 (*.f64 x (-.f64 (*.f64 y (sqrt.f64 z)) x)) (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))
(+.f64 (*.f64 (fma.f64 y (sqrt.f64 z) x) (neg.f64 x)) (*.f64 (fma.f64 y (sqrt.f64 z) x) (*.f64 y (sqrt.f64 z))))
(+.f64 (*.f64 (fma.f64 y (sqrt.f64 z) x) (*.f64 y (sqrt.f64 z))) (*.f64 (fma.f64 y (sqrt.f64 z) x) (neg.f64 x)))
(+.f64 (*.f64 (neg.f64 x) (fma.f64 y (sqrt.f64 z) x)) (*.f64 (*.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) x)))
(+.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) x)) (*.f64 (neg.f64 x) (fma.f64 y (sqrt.f64 z) x)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 y z) y))) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 y z) y))))
(+.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 y z) y))
(+.f64 (-.f64 (*.f64 (*.f64 y z) y) (*.f64 x x)) (*.f64 (-.f64 (*.f64 (*.f64 y z) y) (*.f64 x x)) #s(literal 0 binary64)))
(+.f64 (*.f64 (*.f64 y z) y) (*.f64 (neg.f64 x) x))
(*.f64 (pow.f64 (*.f64 (fabs.f64 y) (sqrt.f64 z)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (fabs.f64 y) (sqrt.f64 z)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (*.f64 (fabs.f64 y) (neg.f64 (sqrt.f64 z)))) (neg.f64 (*.f64 (fabs.f64 y) (neg.f64 (sqrt.f64 z)))))
(*.f64 (fabs.f64 (*.f64 y z)) (fabs.f64 y))
(*.f64 (fabs.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y)) (sqrt.f64 z))
(*.f64 (pow.f64 (*.f64 (fabs.f64 y) (sqrt.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (fabs.f64 y) (sqrt.f64 z)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (fabs.f64 y) (sqrt.f64 z)) #s(literal 1 binary64)) (*.f64 (fabs.f64 y) (sqrt.f64 z)))
(*.f64 (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (sqrt.f64 z)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 y y))
(*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (*.f64 (fabs.f64 y) (neg.f64 (sqrt.f64 z))) (*.f64 (fabs.f64 y) (neg.f64 (sqrt.f64 z))))
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) z))
(*.f64 (fabs.f64 y) (*.f64 (sqrt.f64 z) (*.f64 (fabs.f64 y) (sqrt.f64 z))))
(*.f64 (fabs.f64 y) (fabs.f64 (*.f64 y z)))
(*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 y y)))
(*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 y (*.f64 (neg.f64 y) (sqrt.f64 z))))
(*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 z)))
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal 2 binary64)) (*.f64 y y))
(*.f64 (*.f64 y z) y)
(*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) z))
(*.f64 (*.f64 y y) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 2 binary64)))
(*.f64 (*.f64 y y) (pow.f64 (sqrt.f64 z) #s(literal 2 binary64)))
(*.f64 (*.f64 y y) z)
(*.f64 (*.f64 (fabs.f64 y) (sqrt.f64 z)) (*.f64 (fabs.f64 y) (sqrt.f64 z)))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 (neg.f64 y) (sqrt.f64 z)))
(*.f64 (*.f64 y (sqrt.f64 z)) (*.f64 y (sqrt.f64 z)))
(*.f64 y (*.f64 y z))
(*.f64 (sqrt.f64 z) (fabs.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y)))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 y (sqrt.f64 z)) y))
(*.f64 z (*.f64 y y))
(pow.f64 (*.f64 (fabs.f64 y) (neg.f64 (sqrt.f64 z))) #s(literal 2 binary64))
(pow.f64 (*.f64 (fabs.f64 y) (sqrt.f64 z)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 y z) y) #s(literal 1 binary64))
(pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 2 binary64))
(/.f64 (pow.f64 (*.f64 (fabs.f64 y) (sqrt.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (fabs.f64 y) (sqrt.f64 z)) #s(literal -1 binary64)))
(/.f64 (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal -1 binary64)))
(/.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal -1 binary64)))
(neg.f64 (*.f64 (*.f64 (neg.f64 y) z) y))
(sqrt.f64 (*.f64 (*.f64 (*.f64 y z) y) (*.f64 (*.f64 y z) y)))
(fabs.f64 (*.f64 (*.f64 (neg.f64 y) z) y))
(fabs.f64 (*.f64 (*.f64 y z) y))
(exp.f64 (*.f64 (log.f64 (*.f64 (fabs.f64 y) (sqrt.f64 z))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 y) (sqrt.f64 z))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 z))) y)
(*.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z)))
(*.f64 y (neg.f64 (neg.f64 (sqrt.f64 z))))
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)))
(*.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 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 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 (/.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 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (fabs.f64 x) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(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 (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)))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(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)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) (neg.f64 x))) (neg.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (neg.f64 x))) (neg.f64 x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 y (sqrt.f64 z)))) (*.f64 y (sqrt.f64 z)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sqrt.f64 z)))) (*.f64 y (sqrt.f64 z)))
(/.f64 (+.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y z) y) (*.f64 (neg.f64 x) (*.f64 y (sqrt.f64 z))))))
(/.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 y z) y) (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) (sqrt.f64 z))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 y z) y) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (sqrt.f64 z)) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 y z) y) (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y z) y)) (neg.f64 (fma.f64 y (sqrt.f64 z) x)))
(/.f64 (-.f64 (*.f64 (*.f64 y z) y) (*.f64 x x)) (fma.f64 y (sqrt.f64 z) x))
(neg.f64 (-.f64 x (*.f64 y (sqrt.f64 z))))
(fma.f64 (neg.f64 (neg.f64 (sqrt.f64 z))) y (neg.f64 x))
(fma.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 y) (neg.f64 x))
(fma.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z)) (neg.f64 x))
(fma.f64 x #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))
(fma.f64 y (neg.f64 (neg.f64 (sqrt.f64 z))) (neg.f64 x))
(fma.f64 y (sqrt.f64 z) (neg.f64 x))
(fma.f64 (sqrt.f64 z) y (neg.f64 x))
(-.f64 (neg.f64 x) (*.f64 (neg.f64 y) (sqrt.f64 z)))
(-.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (neg.f64 x) (*.f64 y (sqrt.f64 z)))
(+.f64 (*.f64 y (sqrt.f64 z)) (neg.f64 x))

eval187.0ms (5.3%)

Memory
-39.8MiB live, 394.8MiB allocated; 83ms collecting garbage
Compiler

Compiled 30 429 to 4 157 computations (86.3% saved)

prune34.0ms (1%)

Memory
-0.2MiB live, 95.8MiB allocated; 19ms collecting garbage
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1 044111 055
Fresh404
Picked325
Done000
Total1 051131 064
Accuracy
100.0%
Counts
1 064 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) y x) #s(literal 1/2 binary64))
99.8%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
93.8%
(*.f64 (fma.f64 y (sqrt.f64 z) x) (*.f64 (-.f64 (*.f64 y (sqrt.f64 z)) x) (/.f64 #s(literal -1/2 binary64) (-.f64 x (*.f64 y (sqrt.f64 z))))))
89.9%
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) x) #s(literal 1/2 binary64))
84.2%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))) #s(literal 1/2 binary64))
48.2%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
40.5%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64)))
44.0%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) z))
84.1%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))))
84.1%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y #s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))))
84.3%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) z))))
48.0%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 z))))))
53.0%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 495 to 388 computations (21.6% saved)

series118.0ms (3.4%)

Memory
54.8MiB live, 326.9MiB allocated; 48ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02421355
Stop Event
iter-limit
Counts
29 → 76
Calls
Call 1
Inputs
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) y x) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) y x)
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))
#s(literal 1 binary64)
(pow.f64 z #s(literal -1/2 binary64))
z
#s(literal -1/2 binary64)
y
x
#s(literal 1/2 binary64)
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(sqrt.f64 z)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64))
(*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 y z)
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) x) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) x)
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))
(/.f64 (*.f64 y (sqrt.f64 z)) x)
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))
(/.f64 x z)
Outputs
#s(approx (* (+ (* (/ 1 (pow z -1/2)) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 z #s(literal -1/2 binary64)))))
#s(approx (* (+ (* (/ 1 (pow z -1/2)) y) x) 1/2) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 z #s(literal -1/2 binary64))))))
#s(approx (+ (* (/ 1 (pow z -1/2)) y) x) (/.f64 y (pow.f64 z #s(literal -1/2 binary64))))
#s(approx (+ (* (/ 1 (pow z -1/2)) y) x) (+.f64 x (/.f64 y (pow.f64 z #s(literal -1/2 binary64)))))
#s(approx x x)
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z)))
#s(approx (+ (* (sqrt z) y) x) (+.f64 x (*.f64 y (sqrt.f64 z))))
#s(approx (+ 1 (/ (* y (sqrt z)) x)) (/.f64 (*.f64 y (sqrt.f64 z)) x))
#s(approx (+ 1 (/ (* y (sqrt z)) x)) (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) x))
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (+.f64 x (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
#s(approx (/ x z) (/.f64 x z))
#s(approx (* (+ (* (/ 1 (pow z -1/2)) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* (/ 1 (pow z -1/2)) y) x) 1/2) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x (pow.f64 z #s(literal -1/2 binary64))))))))
#s(approx (+ (* (/ 1 (pow z -1/2)) y) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (pow.f64 z #s(literal -1/2 binary64)))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))))
#s(approx (+ 1 (/ (* y (sqrt z)) x)) #s(literal 1 binary64))
#s(approx (+ 1 (/ (* y (sqrt z)) x)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)))
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x))))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x))))
#s(approx (* (+ (* (/ 1 (pow z -1/2)) y) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 x (pow.f64 z #s(literal -1/2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (+ (* (/ 1 (pow z -1/2)) y) x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (pow.f64 z #s(literal -1/2 binary64))))) #s(literal 1 binary64)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1/2 binary64)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1 binary64)))))
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x)) #s(literal 1 binary64)))))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x)) (/.f64 #s(literal 1 binary64) z)))))
#s(approx y y)
#s(approx (* (* (* y z) (sqrt (/ 1 z))) 1/2) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* y z) (*.f64 y z))
#s(approx (* (+ (* (/ 1 (pow z -1/2)) y) x) 1/2) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))))))
#s(approx (+ (* (/ 1 (pow z -1/2)) y) x) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) (/.f64 x y))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))
#s(approx (+ 1 (/ (* y (sqrt z)) x)) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sqrt.f64 z) x))))
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (*.f64 y (fma.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x y))))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y z)))))
#s(approx (* (+ (* (/ 1 (pow z -1/2)) y) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))))))))
#s(approx (+ (* (/ 1 (pow z -1/2)) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 z) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))
#s(approx (+ 1 (/ (* y (sqrt z)) x)) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 z) x)) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z)))))))
#s(approx (* (+ (* (/ 1 (pow z -1/2)) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 y (pow.f64 z #s(literal -1/2 binary64))))))
#s(approx (/ 1 (pow z -1/2)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))))
#s(approx (pow z -1/2) (pow.f64 z #s(literal -1/2 binary64)))
#s(approx z z)
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))))
#s(approx (sqrt z) (sqrt.f64 z))
#s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z))
#s(approx (/ 1 z) (/.f64 #s(literal 1 binary64) z))
#s(approx (* (* (+ 1 (/ (* y (sqrt z)) x)) x) 1/2) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)))))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) z))
#s(approx (* (+ (* (/ 1 (pow z -1/2)) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 y (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))))
#s(approx (+ (* (/ 1 (pow z -1/2)) y) x) (+.f64 x (/.f64 y (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))))
#s(approx (/ 1 (pow z -1/2)) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))
#s(approx (pow z -1/2) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))
#s(approx (sqrt z) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (sqrt (/ 1 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ 1 (/ (* y (sqrt z)) x)) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x))
#s(approx (+ 1 (/ (* y (sqrt z)) x)) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
#s(approx (sqrt z) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (+ 1 (/ (* y (sqrt z)) x)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x)))
#s(approx (+ 1 (/ (* y (sqrt z)) x)) (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x) (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1 binary64) (/.f64 x z))))))
Calls

9 calls:

TimeVariablePoint
40.0ms
z
0
14.0ms
z
-inf
13.0ms
z
inf
12.0ms
x
0
9.0ms
y
inf

rewrite118.0ms (3.4%)

Memory
-21.2MiB live, 241.2MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037206
060182
1240181
2813178
33280178
04194167
Stop Event
iter-limit
node-limit
iter-limit
Counts
29 → 979
Calls
Call 1
Inputs
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) y x) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) y x)
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))
#s(literal 1 binary64)
(pow.f64 z #s(literal -1/2 binary64))
z
#s(literal -1/2 binary64)
y
x
#s(literal 1/2 binary64)
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(sqrt.f64 z)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64))
(*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 y z)
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) x) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) x)
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))
(/.f64 (*.f64 y (sqrt.f64 z)) x)
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))
(/.f64 x z)
Outputs
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
(*.f64 (*.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (neg.f64 (fma.f64 (sqrt.f64 z) y x)) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (fma.f64 (sqrt.f64 z) y x) x))
(*.f64 (fma.f64 (sqrt.f64 z) y x) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (fma.f64 (sqrt.f64 z) y x) (/.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) x) (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) x) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))
(*.f64 x (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 x (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (fma.f64 (sqrt.f64 z) y x)))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 (fma.f64 (sqrt.f64 z) y x))) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) x)) x)
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (neg.f64 (fma.f64 (sqrt.f64 z) y x)) (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 x))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal -1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal -1/2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal -1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal -1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) x) #s(literal 1/2 binary64))) (neg.f64 x))
(/.f64 (*.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) x) #s(literal 1/2 binary64)) x)
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
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(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z x) #s(literal 1 binary64))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) z)
(*.f64 z (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)))
(/.f64 (*.f64 z (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z x))) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z x)) z) (neg.f64 z))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z))) (-.f64 x (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z)) (*.f64 (neg.f64 x) (neg.f64 x))) (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z) (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z)) (*.f64 x (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z) (fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z) (neg.f64 x)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z) (neg.f64 z) (*.f64 (neg.f64 x) z)) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z x) z)) (neg.f64 z))
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z x) z) z)
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z) x))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z) x))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z x) z)))
(neg.f64 (*.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) z))
(neg.f64 (*.f64 z (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)))))
(neg.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z x)))
(fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) z) #s(literal 1 binary64)) y x)
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) z) y x)
(fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z) #s(literal 1 binary64) x)
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 y z) x)
(fma.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x)
(fma.f64 y (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) z)) x)
(fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) z) x)
(fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x)
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z) x)
(-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z) (neg.f64 x))
(-.f64 x (*.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) z)) y))
(-.f64 x (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) z))
(-.f64 x (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (*.f64 y z)))
(-.f64 x (*.f64 (neg.f64 (*.f64 y z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(-.f64 x (*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) z)))
(-.f64 x (*.f64 (neg.f64 z) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z) x)
(+.f64 x (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 x z))) (/.f64 x z))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (/.f64 x z))) (/.f64 x z))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 x) z) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))
(*.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z x)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z x) (/.f64 #s(literal 1 binary64) z))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z x))
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z x) #s(literal -1 binary64)) (neg.f64 z))
(/.f64 (-.f64 (*.f64 (/.f64 x z) (/.f64 x z)) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))) (+.f64 (/.f64 x z) (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) #s(literal 3 binary64))) (fma.f64 (/.f64 x z) (/.f64 x z) (fma.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (*.f64 (/.f64 x z) (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))))
(/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z) (neg.f64 z) (*.f64 (neg.f64 x) z)) (*.f64 z (neg.f64 z)))
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z x) z) (*.f64 z z))
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z x)) (neg.f64 z))
(/.f64 (-.f64 (*.f64 (/.f64 x z) (/.f64 x z)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))) (-.f64 (/.f64 x z) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) (*.f64 (/.f64 (neg.f64 x) z) (/.f64 (neg.f64 x) z))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (/.f64 (neg.f64 x) z)))
(/.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (/.f64 x z) (/.f64 x z) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) (*.f64 (/.f64 x z) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 x) z) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (fma.f64 (/.f64 (neg.f64 x) z) (/.f64 (neg.f64 x) z) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (/.f64 (neg.f64 x) z)))))
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z x) z)
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) (*.f64 (/.f64 x z) (/.f64 x z))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (/.f64 x z)))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (-.f64 (*.f64 (/.f64 x z) (/.f64 x z)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (/.f64 x z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z x))))
(/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z x)))
(neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z x) (/.f64 #s(literal -1 binary64) z)))
(neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z x) (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z x)) z))
(neg.f64 (-.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 x z)))
(neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))))
(fma.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x) (neg.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
(fma.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) z) (/.f64 y z) (/.f64 x z))
(fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z) (/.f64 #s(literal 1 binary64) z) (/.f64 x z))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z) (neg.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z) (neg.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1 binary64) (/.f64 x z))
(fma.f64 (/.f64 x z) #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
(fma.f64 (/.f64 x z) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (*.f64 y z) z) (/.f64 x z))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))
(fma.f64 (/.f64 #s(literal 1 binary64) z) x (neg.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
(fma.f64 (/.f64 #s(literal 1 binary64) z) x (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))
(fma.f64 (*.f64 y z) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) z) (/.f64 x z))
(fma.f64 x (/.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
(fma.f64 x (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))
(fma.f64 y (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) z) z) (/.f64 x z))
(fma.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x z))
(fma.f64 z (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z) (/.f64 x z))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (/.f64 x z))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (neg.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (/.f64 (neg.f64 x) z))
(-.f64 (/.f64 x z) (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (/.f64 x z))
(+.f64 (/.f64 x z) (neg.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
(+.f64 (/.f64 x z) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 x z) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(/.f64 (neg.f64 x) (neg.f64 z))
(/.f64 x z)
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 z x))
(neg.f64 (/.f64 (neg.f64 x) z))

eval128.0ms (3.7%)

Memory
2.1MiB live, 378.3MiB allocated; 36ms collecting garbage
Compiler

Compiled 19 759 to 3 850 computations (80.5% saved)

prune26.0ms (0.7%)

Memory
-5.0MiB live, 87.5MiB allocated; 7ms collecting garbage
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New9737980
Fresh606
Picked325
Done022
Total98211993
Accuracy
100.0%
Counts
993 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
90.7%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 y z) x)) #s(literal 1/2 binary64))
40.2%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 (*.f64 (sqrt.f64 z) y) x) x)) #s(literal 1/2 binary64))
48.1%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64))
44.0%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 z #s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) #s(literal 1/2 binary64))
48.2%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
37.5%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (neg.f64 (*.f64 (*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z)) x))) #s(literal 1/2 binary64))
48.0%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) z) (*.f64 #s(literal 1/2 binary64) y)))
40.5%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64)))
40.5%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (*.f64 y z) #s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z))) #s(literal 1/2 binary64)))
53.0%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 343 to 277 computations (19.2% saved)

series39.0ms (1.1%)

Memory
16.4MiB live, 112.9MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02101109
Stop Event
iter-limit
Counts
30 → 66
Calls
Call 1
Inputs
(*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 y z) x)) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 y z) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 y z) x)
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
#s(literal 1 binary64)
(sqrt.f64 z)
z
(*.f64 y z)
y
x
#s(literal 1/2 binary64)
(*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (*.f64 y z) #s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 y z) #s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z))) #s(literal 1/2 binary64))
(*.f64 (*.f64 y z) #s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z)))
#s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z))
(/.f64 (sqrt.f64 z) z)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) z) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) z) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) z)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 z #s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 z #s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 z #s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
Outputs
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z)))
#s(approx (+ (* (sqrt z) y) x) (+.f64 x (*.f64 y (sqrt.f64 z))))
#s(approx (+ (* (/ 1 (sqrt z)) (* y z)) x) (/.f64 (*.f64 y z) (sqrt.f64 z)))
#s(approx (+ (* (/ 1 (sqrt z)) (* y z)) x) (+.f64 x (/.f64 (*.f64 y z) (sqrt.f64 z))))
#s(approx x x)
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (+.f64 x (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))))
#s(approx (+ (* (/ 1 (sqrt z)) (* y z)) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z))))))
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x))))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (/.f64 x z))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1/2 binary64)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1 binary64)))))
#s(approx (+ (* (/ 1 (sqrt z)) (* y z)) x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z)))) #s(literal 1 binary64)))))
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x)) #s(literal 1 binary64)))))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x)) (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* y z) (*.f64 y z))
#s(approx y y)
#s(approx (* (* (* y z) (sqrt (/ 1 z))) 1/2) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* (* (/ 1 (sqrt z)) z) (* 1/2 y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z))))
#s(approx (* 1/2 y) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))
#s(approx (+ (* (/ 1 (sqrt z)) (* y z)) x) (*.f64 y (+.f64 (/.f64 x y) (/.f64 z (sqrt.f64 z)))))
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (*.f64 y (fma.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x y))))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y z)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 z) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))
#s(approx (+ (* (/ 1 (sqrt z)) (* y z)) x) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x y) (*.f64 #s(literal -1 binary64) (/.f64 z (sqrt.f64 z)))))))
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z)))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))))
#s(approx (/ 1 (sqrt z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
#s(approx (sqrt z) (sqrt.f64 z))
#s(approx z z)
#s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z))
#s(approx (* (/ 1 (sqrt z)) z) (/.f64 z (sqrt.f64 z)))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) z))
#s(approx (* y (sqrt (/ 1 z))) (/.f64 (*.f64 y (sqrt.f64 z)) z))
#s(approx (/ 1 z) (/.f64 #s(literal 1 binary64) z))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))
#s(approx (+ (* (/ 1 (sqrt z)) (* y z)) x) (+.f64 x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (/ 1 (sqrt z)) (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (sqrt z) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (sqrt (/ 1 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
#s(approx (* (* (/ 1 (sqrt z)) z) (* 1/2 y)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* (/ 1 (sqrt z)) z) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
#s(approx (+ (* (/ 1 (sqrt z)) (* y z)) x) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (/ 1 (sqrt z)) (/.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (sqrt z) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (/ (sqrt z) z) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (* (* (/ 1 (sqrt z)) z) (* 1/2 y)) (*.f64 #s(literal -1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* (/ 1 (sqrt z)) z) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1 binary64) (/.f64 x z))))))
Calls

9 calls:

TimeVariablePoint
8.0ms
z
inf
5.0ms
y
0
5.0ms
z
-inf
3.0ms
z
0
3.0ms
y
-inf

rewrite869.0ms (24.8%)

Memory
-232.7MiB live, 304.2MiB allocated; 1.3s collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043297
064293
1221273
2684263
32805241
04337226
Stop Event
iter-limit
node-limit
iter-limit
Counts
30 → 1 325
Calls
Call 1
Inputs
(*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 y z) x)) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 y z) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 y z) x)
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
#s(literal 1 binary64)
(sqrt.f64 z)
z
(*.f64 y z)
y
x
#s(literal 1/2 binary64)
(*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (*.f64 y z) #s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 y z) #s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z))) #s(literal 1/2 binary64))
(*.f64 (*.f64 y z) #s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z)))
#s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z))
(/.f64 (sqrt.f64 z) z)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) z) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) z) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) z)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 z #s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 z #s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 z #s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
Outputs
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (sqrt z) y) x) (fma.f64 (sqrt.f64 z) y x)))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (sqrt.f64 z) y x)) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (sqrt.f64 z) y x))
(*.f64 (/.f64 (fma.f64 (sqrt.f64 z) x (*.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(*.f64 (/.f64 (fma.f64 (sqrt.f64 z) x (*.f64 y z)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) z))
(*.f64 (neg.f64 (fma.f64 (sqrt.f64 z) y x)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) y))) (*.f64 (sqrt.f64 z) y))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) x)) x)
(*.f64 (fma.f64 (sqrt.f64 z) x (*.f64 y z)) (/.f64 (sqrt.f64 z) z))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 z) y))) (*.f64 (sqrt.f64 z) y))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1 binary64))
(/.f64 (neg.f64 (/.f64 (fma.f64 (sqrt.f64 z) x (*.f64 y z)) #s(literal -1 binary64))) (sqrt.f64 z))
(/.f64 (neg.f64 (/.f64 (fma.f64 (sqrt.f64 z) x (*.f64 y z)) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 z)))
(/.f64 (neg.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (neg.f64 y))) (/.f64 (sqrt.f64 z) z))
(/.f64 (neg.f64 (fma.f64 x (/.f64 (sqrt.f64 z) z) y)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(/.f64 (neg.f64 (fma.f64 x (neg.f64 (sqrt.f64 z)) (*.f64 (neg.f64 y) z))) (sqrt.f64 z))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 z) x (*.f64 y z)))) (sqrt.f64 z))
(/.f64 (/.f64 (fma.f64 (sqrt.f64 z) x (*.f64 y z)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 z)))
(/.f64 (/.f64 (fma.f64 (sqrt.f64 z) x (*.f64 y z)) #s(literal 1 binary64)) (sqrt.f64 z))
(/.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(/.f64 (fma.f64 x (/.f64 (sqrt.f64 z) z) y) (/.f64 (sqrt.f64 z) z))
(/.f64 (fma.f64 x (neg.f64 (sqrt.f64 z)) (*.f64 (neg.f64 y) z)) (neg.f64 (sqrt.f64 z)))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 z) x (*.f64 y z))) (neg.f64 (sqrt.f64 z)))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 z) y x)) #s(literal -1 binary64))
(/.f64 (fma.f64 (sqrt.f64 z) x (*.f64 y z)) (sqrt.f64 z))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y)) (*.f64 (neg.f64 x) (neg.f64 x))) (+.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 (neg.f64 y) (sqrt.f64 z)))) (+.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y) (fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z))))))
(/.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y))) (-.f64 x (*.f64 (sqrt.f64 z) y)))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y)) (*.f64 x x)) (-.f64 (*.f64 (sqrt.f64 z) y) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y)) (*.f64 x (*.f64 (sqrt.f64 z) y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 z) y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 z) x (*.f64 y z))))
(neg.f64 (neg.f64 (fma.f64 (sqrt.f64 z) y x)))
(fma.f64 (*.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 z) x)
(fma.f64 (*.f64 (*.f64 y z) (neg.f64 (sqrt.f64 z))) (/.f64 #s(literal -1 binary64) z) x)
(fma.f64 (*.f64 (*.f64 y z) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) z) x)
(fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) #s(literal 2 binary64) x)
(fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 z) z) x)
(fma.f64 (*.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) x)
(fma.f64 (/.f64 (neg.f64 y) (sqrt.f64 z)) (neg.f64 z) x)
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal -1 binary64) x)
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 z) (sqrt.f64 z)) x)
(fma.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z)) x)
(fma.f64 (neg.f64 z) (/.f64 (neg.f64 y) (sqrt.f64 z)) x)
(fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 y z)) x)
(fma.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 y) x)
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (sqrt.f64 z)) x)
(fma.f64 (/.f64 y (sqrt.f64 z)) z x)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 z) (*.f64 y z)) x)
(fma.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64) x)
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(fma.f64 (/.f64 (sqrt.f64 z) z) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 z) z)))
(fma.f64 (/.f64 (sqrt.f64 z) z) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(fma.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 (sqrt.f64 z) z) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 z) z)))
(fma.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) z) (*.f64 (/.f64 (sqrt.f64 z) z) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) z) (*.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 z) z)))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) z) (/.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(sqrt.f64 (/.f64 z (*.f64 z z)))
(sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z)) z))
(sqrt.f64 (*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(fabs.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 (sqrt.f64 z) z)) (neg.f64 (sqrt.f64 z))))
(fabs.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 (sqrt.f64 z) z)) (sqrt.f64 z)))
(fabs.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 z) z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) (neg.f64 (sqrt.f64 z))))
(fabs.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 z) z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) (sqrt.f64 z)))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 (sqrt.f64 z) z))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (/.f64 (sqrt.f64 z) z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))))
(fabs.f64 (*.f64 (sqrt.f64 z) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 (sqrt.f64 z) z))))
(fabs.f64 (*.f64 (sqrt.f64 z) (*.f64 (/.f64 (sqrt.f64 z) z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))))
(fabs.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 (sqrt.f64 z) z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))))
(fabs.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 (sqrt.f64 z) z)) (/.f64 (sqrt.f64 z) z)))
(fabs.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 z) z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))))
(fabs.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 z) z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) (/.f64 (sqrt.f64 z) z)))
(fabs.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))))
(fabs.f64 (/.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))))
(fabs.f64 (/.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))))
(fabs.f64 (/.f64 (sqrt.f64 z) (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))))
(fabs.f64 (/.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))))
(fabs.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(fabs.f64 (/.f64 (sqrt.f64 z) z))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 z) z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal -1 binary64)))
(+.f64 (/.f64 (sqrt.f64 z) z) (*.f64 (/.f64 (sqrt.f64 z) z) #s(literal 0 binary64)))
(+.f64 (/.f64 (sqrt.f64 z) z) (*.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 z) z)))
(+.f64 (/.f64 (sqrt.f64 z) z) (/.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z)) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 (sqrt.f64 z) z)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))
(*.f64 (pow.f64 z (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 z (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 (sqrt.f64 z) z) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(*.f64 (/.f64 (sqrt.f64 z) z) (/.f64 (sqrt.f64 z) z))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(pow.f64 (*.f64 (neg.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 z)) #s(literal -1 binary64))
(pow.f64 (*.f64 z z) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(pow.f64 (/.f64 (sqrt.f64 z) z) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal -2 binary64))
(pow.f64 z #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) z))) #s(literal -2 binary64))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 z #s(literal 2 binary64))))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) z)))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 z) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 z)))
(/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 z))))
(/.f64 #s(literal -1 binary64) (neg.f64 z))
(/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (neg.f64 z) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 z))))
(/.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 (neg.f64 z) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 #s(literal 2 binary64) (neg.f64 z))))
(/.f64 #s(literal 2 binary64) (*.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) z))
(/.f64 (/.f64 (sqrt.f64 z) z) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))
(/.f64 (/.f64 (sqrt.f64 z) z) (sqrt.f64 z))
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(literal -1 binary64) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sqrt.f64 z) z) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) z)
(neg.f64 (/.f64 #s(literal -1 binary64) z))
(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) z))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 #s(literal 0 binary64) z))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 0 binary64) z))
(fma.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) z))
(fma.f64 (/.f64 (sqrt.f64 z) z) (/.f64 (sqrt.f64 z) z) (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64)))
(fma.f64 (/.f64 (sqrt.f64 z) z) (/.f64 (sqrt.f64 z) z) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 (/.f64 (sqrt.f64 z) z) (/.f64 (sqrt.f64 z) z) (/.f64 #s(literal 0 binary64) z))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 0 binary64) z))
(sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z)) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))))
(sqrt.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z)) #s(literal 1 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z)))
(fabs.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 (sqrt.f64 z) z))))
(fabs.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 z) z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))))
(fabs.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 (sqrt.f64 z) z)) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 (sqrt.f64 z) z)) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 z) z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 z) z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) #s(literal 1 binary64)))
(fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 (sqrt.f64 z) z))))
(fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sqrt.f64 z) z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))))
(fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 (sqrt.f64 z) z))))
(fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))))
(fabs.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 (sqrt.f64 z) z)) #s(literal -1 binary64)))
(fabs.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 (sqrt.f64 z) z)) #s(literal 1 binary64)))
(fabs.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 z) z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) #s(literal -1 binary64)))
(fabs.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 z) z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) #s(literal 1 binary64)))
(fabs.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))))
(fabs.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))))
(fabs.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 (sqrt.f64 z) z)))
(fabs.f64 (*.f64 (/.f64 (sqrt.f64 z) z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))))
(fabs.f64 (/.f64 #s(literal -1 binary64) z))
(fabs.f64 (/.f64 #s(literal 1 binary64) z))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 z) z)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z)))
(+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 0 binary64) z))

eval220.0ms (6.3%)

Memory
14.1MiB live, 483.5MiB allocated; 56ms collecting garbage
Compiler

Compiled 45 470 to 7 205 computations (84.2% saved)

prune37.0ms (1.1%)

Memory
11.1MiB live, 104.7MiB allocated; 4ms collecting garbage
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New1 77371 780
Fresh202
Picked415
Done134
Total1 780111 791
Accuracy
100.0%
Counts
1 791 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
92.5%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 y (sqrt.f64 z)) z x)) #s(literal 1/2 binary64))
43.9%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (/.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64))
40.6%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64))
48.1%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 y (/.f64 (sqrt.f64 z) z))) #s(literal 1/2 binary64))
48.1%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64))
44.0%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64))
42.0%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 z #s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (/.f64 x z)))) #s(literal 1/2 binary64))
48.2%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
40.5%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 y z)))
53.0%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 171 to 140 computations (18.1% saved)

regimes114.0ms (3.3%)

Memory
-21.6MiB live, 230.8MiB allocated; 44ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
4 → 3
35 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Call 2
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 z #s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (/.f64 x z)))) #s(literal 1/2 binary64))
Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
Call 3
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 z #s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (/.f64 x z)))) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 y z)))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 y (/.f64 (sqrt.f64 z) z))) #s(literal 1/2 binary64))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 y (sqrt.f64 z)) z x)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (*.f64 y z) #s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) z) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 z #s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) #s(literal 1/2 binary64))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 (*.f64 (sqrt.f64 z) y) x) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (/.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 z))))))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (neg.f64 (*.f64 (*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z)) x))) #s(literal 1/2 binary64))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 y z) x)) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) x) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) z))))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y #s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) y x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 y (sqrt.f64 z) x) (*.f64 (-.f64 (*.f64 y (sqrt.f64 z)) x) (/.f64 #s(literal -1/2 binary64) (-.f64 x (*.f64 y (sqrt.f64 z))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y)) (*.f64 x x)) (-.f64 (*.f64 (sqrt.f64 z) y) x)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 z) y) x)))))
Outputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
Calls

21 calls:

32.0ms
z
11.0ms
x
9.0ms
(sqrt.f64 z)
9.0ms
(+.f64 x (*.f64 y (sqrt.f64 z)))
9.0ms
y
Results
AccuracySegmentsBranch
53.0%1(+.f64 x (*.f64 y (sqrt.f64 z)))
53.0%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
53.0%1(sqrt.f64 z)
53.0%1z
53.0%1y
53.0%1x
53.0%1(*.f64 y (sqrt.f64 z))
68.5%2(sqrt.f64 z)
79.8%3(*.f64 y (sqrt.f64 z))
59.2%3(+.f64 x (*.f64 y (sqrt.f64 z)))
59.2%3(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
76.9%3x
76.1%3y
68.5%2z
99.8%1(sqrt.f64 z)
99.8%1(*.f64 y (sqrt.f64 z))
99.8%1(+.f64 x (*.f64 y (sqrt.f64 z)))
99.8%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
99.8%1x
99.8%1y
99.8%1z
Compiler

Compiled 767 to 272 computations (64.5% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.6967451786361706e+26
1.0034276376792388e+33
0.0ms
-1.618322074543971e-15
-2.1015857664995974e-20
Compiler

Compiled 13 to 16 computations (-23.1% saved)

derivations17.0ms (0.5%)

Memory
30.2MiB live, 30.2MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 83 to 25 computations (69.9% saved)

preprocess24.0ms (0.7%)

Memory
-40.5MiB live, 52.8MiB allocated; 5ms collecting garbage
Compiler

Compiled 93 to 35 computations (62.4% saved)

end0.0ms (0%)

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

Profiling

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