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

Time bar (total: 3.3s)

start0.0ms (0.0%)

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

analyze68.0ms (2.1%)

Memory
-25.3MiB live, 86.8MiB allocated; 38ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%99.9%0.1%0.0%0.0%0.0%0
0.0%0.0%99.9%0.1%0.0%0.0%0.0%1
0.0%0.0%99.9%0.1%0.0%0.0%0.0%2
0.0%0.0%99.9%0.1%0.0%0.0%0.0%3
50.0%49.9%49.9%0.1%0.0%0.0%0.0%4
50.0%49.9%49.9%0.1%0.0%0.0%0.0%5
50.0%49.9%49.9%0.1%0.0%0.0%0.0%6
66.7%49.9%25.0%0.1%0.0%25.0%0.0%7
66.7%49.9%25.0%0.1%0.0%25.0%0.0%8
66.7%49.9%25.0%0.1%0.0%25.0%0.0%9
80.0%49.9%12.5%0.1%0.0%37.4%0.0%10
80.0%49.9%12.5%0.1%0.0%37.4%0.0%11
80.0%49.9%12.5%0.1%0.0%37.4%0.0%12
Compiler

Compiled 12 to 12 computations (0.0% saved)

sample1.2s (37.2%)

Memory
-8.2MiB live, 1 228.7MiB allocated; 357ms collecting garbage
Samples
788.0ms8 256×0valid
126.0ms2 101×0invalid
Precisions
Click to see histograms. Total time spent on operations: 542.0ms
ival-sqrt: 258.0ms (47.6% of total)
ival-mult!: 257.0ms (47.5% of total)
ival-add!: 25.0ms (4.6% of total)
adjust: 2.0ms (0.4% of total)
Bogosity

preprocess27.0ms (0.8%)

Memory
-18.4MiB live, 34.6MiB allocated; 8ms 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
99.5%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
Compiler

Compiled 20 to 20 computations (0.0% saved)

sample0.0ms (0.0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
2
(/ 1 2)
Outputs
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 7 to 5 computations (28.6% saved)

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

series18.0ms (0.5%)

Memory
22.9MiB live, 70.1MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099435
Stop Event
iter-limit
Counts
10 → 28
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
x
y
z
(sqrt.f64 z)
(*.f64 y (sqrt.f64 z))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
Outputs
#s(approx x x)
#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 (* (/ 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 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 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 #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 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 y 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 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 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
#s(approx z z)
#s(approx (sqrt z) (sqrt.f64 z))
#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) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (* 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 (* (/ 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 (sqrt z) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* 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 (* (/ 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))))))))
Calls

9 calls:

TimeVariablePoint
1.0ms
y
-inf
1.0ms
y
inf
1.0ms
x
-inf
1.0ms
z
-inf
1.0ms
z
inf

rewrite117.0ms (3.6%)

Memory
12.5MiB live, 149.7MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
01626
15226
220226
351526
4135526
0423024
Stop Event
iter-limit
node-limit
iter-limit
Counts
10 → 97
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
x
y
z
(sqrt.f64 z)
(*.f64 y (sqrt.f64 z))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
Outputs
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
x
y
z
(*.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)))
(*.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)))
(*.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))
(*.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)))

eval12.0ms (0.4%)

Memory
-16.7MiB live, 29.2MiB allocated; 4ms collecting garbage
Compiler

Compiled 2 027 to 451 computations (77.8% saved)

prune6.0ms (0.2%)

Memory
15.5MiB live, 15.5MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1108118
Fresh000
Picked101
Done000
Total1118119
Accuracy
100.0%
Counts
119 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (*.f64 x #s(literal 1/2 binary64)))
99.5%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
99.4%
(*.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))))))
99.3%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))))))
87.1%
#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)))))
50.6%
#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))))))
50.7%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
50.7%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 244 to 210 computations (13.9% saved)

sample0.0ms (0.0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1/2
1
2
(/ 1 2)
-1/2
Outputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(literal -1/2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 9 to 7 computations (22.2% saved)

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

series180.0ms (5.5%)

Memory
-1.1MiB live, 194.9MiB allocated; 75ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02661550
Stop Event
iter-limit
Counts
26 → 78
Calls
Call 1
Inputs
z
(sqrt.f64 z)
#s(literal 1/2 binary64)
(*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))
y
x
(*.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)))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (sqrt.f64 z) y x)
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(sqrt.f64 (sqrt.f64 z))
(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))
(*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))))
(+.f64 x (*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))))))
#s(literal -1/2 binary64)
(pow.f64 z #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 y (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 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 x (*.f64 y (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))))))
Outputs
#s(approx x x)
#s(approx (* x 1/2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
#s(approx (+ (* (* (sqrt z) 1/2) 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 (* y (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64))))
#s(approx (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (+.f64 x (*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64)))))
#s(approx (* (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64)))))
#s(approx (* (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64))))))
#s(approx (+ x (* y (/ 1 (pow z -1/2)))) (/.f64 y (pow.f64 z #s(literal -1/2 binary64))))
#s(approx (+ x (* y (/ 1 (pow z -1/2)))) (+.f64 x (/.f64 y (pow.f64 z #s(literal -1/2 binary64)))))
#s(approx (* (/ 1 2) (+ x (* y (/ 1 (pow z -1/2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 z #s(literal -1/2 binary64)))))
#s(approx (* (/ 1 2) (+ x (* y (/ 1 (pow z -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 (+ (* (* (sqrt z) 1/2) 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 (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64))) x))))
#s(approx (* (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64))) x)))))
#s(approx (+ x (* y (/ 1 (pow z -1/2)))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (pow.f64 z #s(literal -1/2 binary64)))))))
#s(approx (* (/ 1 2) (+ x (* y (/ 1 (pow z -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 (+ (* (* (sqrt z) 1/2) 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 (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64))) x)) #s(literal 1 binary64)))))
#s(approx (* (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64))) x)) #s(literal 1/2 binary64)))))
#s(approx (+ x (* y (/ 1 (pow z -1/2)))) (*.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 (* (/ 1 2) (+ x (* y (/ 1 (pow z -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 y y)
#s(approx (+ (* (* (sqrt z) 1/2) 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 (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (*.f64 y (+.f64 (/.f64 x y) (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64)))))
#s(approx (* (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64))))))
#s(approx (+ x (* y (/ 1 (pow z -1/2)))) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) (/.f64 x y))))
#s(approx (* (/ 1 2) (+ x (* y (/ 1 (pow z -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 (+ (* (* (sqrt z) 1/2) 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 (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x y) (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64)))))))
#s(approx (* (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (*.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64)))))))
#s(approx (+ x (* y (/ 1 (pow z -1/2)))) (*.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 (* (/ 1 2) (+ x (* y (/ 1 (pow z -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 z z)
#s(approx (sqrt z) (sqrt.f64 z))
#s(approx (* (sqrt z) 1/2) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))))
#s(approx (sqrt (sqrt z)) (sqrt.f64 (sqrt.f64 z)))
#s(approx (* (sqrt (sqrt z)) (sqrt (sqrt z))) (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64))))))
#s(approx (pow z -1/2) (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 (* (/ 1 2) (+ x (* y (/ 1 (pow z -1/2))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 y (pow.f64 z #s(literal -1/2 binary64))))))
#s(approx (sqrt z) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (* (sqrt z) 1/2) (*.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (+ (* (* (sqrt z) 1/2) 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) 1/2) 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 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (sqrt z)) (*.f64 z (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z))))
#s(approx (* (sqrt (sqrt z)) (sqrt (sqrt z))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z)) #s(literal 2 binary64))))
#s(approx (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z)) #s(literal 2 binary64)))))
#s(approx (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 y (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z)) #s(literal 2 binary64)) (/.f64 x (pow.f64 z #s(literal 2 binary64))))))
#s(approx (* (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z)) #s(literal 2 binary64))))))
#s(approx (* (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (pow z -1/2) (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 (* y (/ 1 (pow z -1/2))) (/.f64 y (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))
#s(approx (+ x (* y (/ 1 (pow z -1/2)))) (+.f64 x (/.f64 y (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (+ x (* y (/ 1 (pow z -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 (sqrt z) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* (sqrt z) 1/2) (*.f64 #s(literal -1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (+ (* (* (sqrt z) 1/2) 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) 1/2) 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 (sqrt z)) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z))))))
#s(approx (* (sqrt (sqrt z)) (sqrt (sqrt z))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z))) #s(literal 2 binary64))))
#s(approx (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z))) #s(literal 2 binary64)))))
#s(approx (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 y (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z))) #s(literal 2 binary64)) (/.f64 x (pow.f64 z #s(literal 2 binary64))))))
#s(approx (* (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z))) #s(literal 2 binary64))))))
#s(approx (* (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z))) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))))
Calls

9 calls:

TimeVariablePoint
47.0ms
z
-inf
38.0ms
y
-inf
25.0ms
y
inf
22.0ms
y
0
14.0ms
z
0

rewrite147.0ms (4.5%)

Memory
7.8MiB live, 287.4MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031131
054100
121792
264192
3246892
0414992
Stop Event
iter-limit
node-limit
iter-limit
Counts
26 → 1 316
Calls
Call 1
Inputs
z
(sqrt.f64 z)
#s(literal 1/2 binary64)
(*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))
y
x
(*.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)))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (sqrt.f64 z) y x)
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(sqrt.f64 (sqrt.f64 z))
(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))
(*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))))
(+.f64 x (*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))))))
#s(literal -1/2 binary64)
(pow.f64 z #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 y (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 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 x (*.f64 y (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))))))
Outputs
z
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) z)) z) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 z (neg.f64 (sqrt.f64 (sqrt.f64 z)))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) z))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)) #s(literal 1/4 binary64)))
(*.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 (sqrt.f64 (sqrt.f64 z)) z) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) 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 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) z))) z) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 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 (*.f64 (sqrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (sqrt.f64 z)))) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (sqrt.f64 z)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (sqrt.f64 z))) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (sqrt.f64 z))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 (neg.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal -1 binary64)) (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal -1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (sqrt.f64 z)))) (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (sqrt.f64 z)))))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (sqrt.f64 z))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (sqrt.f64 z))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 z))) (sqrt.f64 (neg.f64 (sqrt.f64 z))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) z)))) (sqrt.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z)))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) z))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal 0 binary64)) (sqrt.f64 z))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) z)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1/2 binary64)))
(*.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 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) z))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (neg.f64 (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) z) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) z)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) 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 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) z))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) z))) z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) z)) z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 z))
(*.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 #s(literal -1 binary64) #s(literal 2 binary64)) (sqrt.f64 z))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (sqrt.f64 z))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (sqrt.f64 z))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (sqrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 z)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (sqrt.f64 z)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.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 (neg.f64 (sqrt.f64 (sqrt.f64 z)))) (sqrt.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) z)))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) z))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (sqrt.f64 z) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (neg.f64 (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 #s(literal -1 binary64) z)))
(*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 z))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1 binary64)) (sqrt.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) z))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) z)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) (neg.f64 (sqrt.f64 (sqrt.f64 z))))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)))
(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 0 binary64)))
(*.f64 (sqrt.f64 z) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 0 binary64)))
(*.f64 (sqrt.f64 z) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 0 binary64)))
(*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 0 binary64)))
(*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 z) #s(literal 0 binary64)))
(*.f64 (sqrt.f64 z) (pow.f64 z #s(literal 0 binary64)))
(*.f64 (sqrt.f64 z) (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 z) (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 1 binary64)))
(*.f64 (sqrt.f64 z) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 z) #s(literal 1 binary64))
(pow.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (sqrt.f64 z)))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (sqrt.f64 z))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 1/8 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64))
(pow.f64 z #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 z)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 z))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
(/.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) z)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) z))))
(/.f64 (*.f64 (sqrt.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 z)) #s(literal 2 binary64))
(/.f64 (sqrt.f64 (neg.f64 (sqrt.f64 z))) (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
(/.f64 (pow.f64 (sqrt.f64 z) #s(literal 0 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal -1 binary64)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z))))
(/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
(/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
(/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
(/.f64 (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(/.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(/.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(/.f64 (sqrt.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 z) #s(literal -1/2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(/.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 z) #s(literal 0 binary64)))
(neg.f64 (neg.f64 (sqrt.f64 z)))
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(fma.f64 (*.f64 (sqrt.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (sqrt.f64 z)))
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(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.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 -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) x))) (+.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #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 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #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 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (-.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #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 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
(neg.f64 (*.f64 (neg.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 1/2 binary64)))
(neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))) (*.f64 x #s(literal 1/2 binary64))))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 y (neg.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 (sqrt.f64 z))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1/2 binary64))) (sqrt.f64 (sqrt.f64 z)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 y) (sqrt.f64 (sqrt.f64 z)))) (neg.f64 (sqrt.f64 (sqrt.f64 z))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 y) (sqrt.f64 (sqrt.f64 z))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 z)) y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (sqrt.f64 z)))) (neg.f64 (sqrt.f64 (sqrt.f64 z))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) y) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 z)) (*.f64 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 (neg.f64 y) (sqrt.f64 (sqrt.f64 z))) (neg.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) y) (*.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.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 (*.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #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 (neg.f64 (sqrt.f64 (sqrt.f64 z))) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (sqrt.f64 z)))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (*.f64 (*.f64 y (sqrt.f64 z)) #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 (sqrt.f64 (sqrt.f64 z)) (*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (sqrt.f64 z)) (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))
(fma.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(-.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #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 y (sqrt.f64 z))))
(+.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))

eval161.0ms (4.9%)

Memory
-13.2MiB live, 269.1MiB allocated; 38ms collecting garbage
Compiler

Compiled 23 207 to 4 113 computations (82.3% saved)

prune25.0ms (0.7%)

Memory
20.5MiB live, 67.3MiB allocated; 2ms collecting garbage
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New1 079101 089
Fresh303
Picked505
Done-330
Total1 084131 097
Accuracy
100.0%
Counts
1 097 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) y (*.f64 x #s(literal 1/2 binary64)))
99.8%
(fma.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (*.f64 x #s(literal 1/2 binary64)))
99.4%
(*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) y x) #s(literal 1/2 binary64))
99.3%
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) y) (sqrt.f64 (sqrt.f64 z)) x) #s(literal 1/2 binary64))
99.4%
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z))) y x) #s(literal 1/2 binary64))
99.5%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
99.4%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
99.4%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))))
86.9%
(*.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))
50.6%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) #s(literal 1/2 binary64))
50.7%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
89.7%
#s(approx (* (/ 1 2) (+ x (* y (/ 1 (pow z -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))))))))
50.7%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 330 to 278 computations (15.8% saved)

sample0.0ms (0.0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1/2
1
2
(sqrt 2)
(/ 1 2)
Outputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 6369051672525773/4503599627370496 binary64)
#s(literal 1/2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 10 to 7 computations (30.0% saved)

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

series88.0ms (2.7%)

Memory
-38.6MiB live, 65.0MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03041797
Stop Event
iter-limit
Counts
30 → 91
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
z
(/.f64 #s(literal 1 binary64) z)
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
y
x
(*.f64 x #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) y (*.f64 x #s(literal 1/2 binary64)))
(sqrt.f64 z)
(*.f64 y (sqrt.f64 z))
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
#s(literal 2 binary64)
(sqrt.f64 #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) z)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) z))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z))) y x)
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z))) y x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(+.f64 x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (/.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 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.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))))
(*.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))
Outputs
#s(approx x x)
#s(approx (* x 1/2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (* (+ (* (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 2) (sqrt (* 1/2 z))) y) x) (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z)))))
#s(approx (+ (* (* (sqrt 2) (sqrt (* 1/2 z))) y) x) (+.f64 x (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z))))))
#s(approx (* (+ (* (* (sqrt 2) (sqrt (* 1/2 z))) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z))))))
#s(approx (* (+ (* (* (sqrt 2) (sqrt (* 1/2 z))) y) x) 1/2) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z)))))))
#s(approx (+ x (/ y (sqrt (/ 1 z)))) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (+ x (/ y (sqrt (/ 1 z)))) (+.f64 x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (/ x z) (/.f64 x 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 (* 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 (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) 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 2) (sqrt (* 1/2 z))) y) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z)))) x))))
#s(approx (* (+ (* (* (sqrt 2) (sqrt (* 1/2 z))) y) x) 1/2) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z)))) x)))))
#s(approx (+ x (/ y (sqrt (/ 1 z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (* 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 (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) #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 (* (+ (* (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 2) (sqrt (* 1/2 z))) y) x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z)))) x)) #s(literal 1 binary64)))))
#s(approx (* (+ (* (* (sqrt 2) (sqrt (* 1/2 z))) y) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z)))) x)) #s(literal 1/2 binary64)))))
#s(approx (+ x (/ y (sqrt (/ 1 z)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) #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 (* 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 y)
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) 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) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (+.f64 (sqrt.f64 z) (/.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 2) (sqrt (* 1/2 z))) y) x) (*.f64 y (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z)) (/.f64 x y))))
#s(approx (* (+ (* (* (sqrt 2) (sqrt (* 1/2 z))) y) x) 1/2) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
#s(approx (+ x (/ y (sqrt (/ 1 z)))) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (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 (* 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 (+ (* (/ 1/2 (sqrt (/ 1 z))) 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) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))))
#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 (* (+ (* (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 2) (sqrt (* 1/2 z))) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z))) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))
#s(approx (* (+ (* (* (sqrt 2) (sqrt (* 1/2 z))) y) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z))) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
#s(approx (+ x (/ y (sqrt (/ 1 z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
#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 (* 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 z z)
#s(approx (/ 1 z) (/.f64 #s(literal 1 binary64) z))
#s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z))
#s(approx (/ 1/2 (sqrt (/ 1 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 z))))
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z)))))
#s(approx (sqrt z) (sqrt.f64 z))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))))
#s(approx (* 1/2 z) (*.f64 #s(literal 1/2 binary64) z))
#s(approx (sqrt (* 1/2 z)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z)))
#s(approx (* (sqrt 2) (sqrt (* 1/2 z))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z))))
#s(approx (* (+ (* (* (sqrt 2) (sqrt (* 1/2 z))) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z)))))))
#s(approx (/ y (sqrt (/ 1 z))) (/.f64 (*.f64 y z) (sqrt.f64 z)))
#s(approx (+ x (/ y (sqrt (/ 1 z)))) (+.f64 x (/.f64 (*.f64 y z) (sqrt.f64 z))))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) z))
#s(approx (sqrt (/ 1 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
#s(approx (/ 1/2 (sqrt (/ 1 z))) (/.f64 #s(literal 1/2 binary64) (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 z) y) x) (*.f64 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) (*.f64 y (*.f64 z (sqrt.f64 (/.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 (* 1/2 z)) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1/2 binary64) z))))
#s(approx (* (sqrt 2) (sqrt (* 1/2 z))) (*.f64 z (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) z)))))
#s(approx (+ (* (* (sqrt 2) (sqrt (* 1/2 z))) y) x) (*.f64 y (*.f64 z (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) z))))))
#s(approx (+ (* (* (sqrt 2) (sqrt (* 1/2 z))) y) x) (*.f64 z (fma.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) z))) (/.f64 x z))))
#s(approx (* (+ (* (* (sqrt 2) (sqrt (* 1/2 z))) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) z)))))))
#s(approx (* (+ (* (* (sqrt 2) (sqrt (* 1/2 z))) y) x) 1/2) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))))
#s(approx (* (/ 1 2) (+ x (/ y (sqrt (/ 1 z))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (/.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 (* y (sqrt z)) (*.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) 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 (* 1/2 z)) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1/2 binary64) z)))))
#s(approx (* (sqrt 2) (sqrt (* 1/2 z))) (*.f64 #s(literal -1 binary64) (*.f64 z (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) z))))))
#s(approx (+ (* (* (sqrt 2) (sqrt (* 1/2 z))) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) z)))))))
#s(approx (+ (* (* (sqrt 2) (sqrt (* 1/2 z))) y) x) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) z))))))))
#s(approx (* (+ (* (* (sqrt 2) (sqrt (* 1/2 z))) y) x) 1/2) (*.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 z (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) z)))))))
#s(approx (* (+ (* (* (sqrt 2) (sqrt (* 1/2 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 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/2 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
y
0
4.0ms
z
-inf
4.0ms
z
0
3.0ms
y
-inf
3.0ms
z
inf

rewrite132.0ms (4.0%)

Memory
31.5MiB live, 357.9MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033187
060181
1224175
2780164
32727164
04040161
Stop Event
iter-limit
node-limit
iter-limit
Counts
30 → 752
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
z
(/.f64 #s(literal 1 binary64) z)
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
y
x
(*.f64 x #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) y (*.f64 x #s(literal 1/2 binary64)))
(sqrt.f64 z)
(*.f64 y (sqrt.f64 z))
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
#s(literal 2 binary64)
(sqrt.f64 #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) z)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) z))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z))) y x)
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z))) y x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(+.f64 x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (/.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 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.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))))
(*.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))
Outputs
#s(literal 1/2 binary64)
#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 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)))
(*.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 2 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1 binary64)) (pow.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 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 (+.f64 z z) #s(literal -1 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1 binary64)) (pow.f64 (+.f64 z z) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (sqrt.f64 (/.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 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) z))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z)) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 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 z z) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal -2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(pow.f64 z #s(literal -1 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 (*.f64 (/.f64 #s(literal -1 binary64) z) z) (*.f64 #s(literal -1 binary64) z))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) z) (*.f64 (+.f64 z z) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) z) (neg.f64 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 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) z))
(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 z z) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 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 z))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64)))
(/.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)))
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(fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
(fma.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)) z x)
(fma.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) z x)
(fma.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x)
(fma.f64 z (*.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)) x)
(fma.f64 z (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x)
(-.f64 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (neg.f64 x))
(-.f64 x (*.f64 (neg.f64 (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(-.f64 x (*.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z)) y))
(-.f64 x (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) z))
(-.f64 x (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z)))
(-.f64 x (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 y z)))
(-.f64 x (*.f64 (neg.f64 z) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
(+.f64 (*.f64 z (*.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64))) x)
(+.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)) z) x)
(+.f64 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x)
(+.f64 x (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))
(*.f64 (*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) #s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))))
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))))
(neg.f64 (*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) #s(literal -1/2 binary64)))

eval140.0ms (4.3%)

Memory
24.8MiB live, 303.2MiB allocated; 68ms collecting garbage
Compiler

Compiled 21 554 to 4 179 computations (80.6% saved)

prune20.0ms (0.6%)

Memory
-2.3MiB live, 43.7MiB allocated; 3ms collecting garbage
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1 05451 059
Fresh505
Picked505
Done-143
Total1 06391 072
Accuracy
100.0%
Counts
1 072 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (*.f64 x #s(literal 1/2 binary64)))
99.7%
(fma.f64 #s(approx (/ 1/2 (sqrt (/ 1 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 z)))) y (*.f64 x #s(literal 1/2 binary64)))
99.5%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
50.6%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))
47.3%
(*.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))
50.7%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
89.6%
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))))
50.6%
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
50.7%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 267 to 219 computations (18.0% saved)

sample0.0ms (0.0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1/2
1
2
(sqrt 2)
Outputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 6369051672525773/4503599627370496 binary64)
Samples
0.0ms0valid
Compiler

Compiled 7 to 6 computations (14.3% saved)

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

series82.0ms (2.5%)

Memory
-3.9MiB live, 97.5MiB allocated; 36ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02531443
Stop Event
iter-limit
Counts
35 → 82
Calls
Call 1
Inputs
z
#s(literal 1/2 binary64)
(sqrt.f64 z)
(/.f64 z (sqrt.f64 z))
(*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 z)))
#s(approx (/ 1/2 (sqrt (/ 1 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 z))))
y
x
(*.f64 x #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ 1/2 (sqrt (/ 1 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 z)))) y (*.f64 x #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) z)
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 z #s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#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 #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(literal 2 binary64)
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) y)
(*.f64 z #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 z #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 1/2 binary64))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 1/2 binary64)))))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))))
Outputs
#s(approx x x)
#s(approx (* x 1/2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (/.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))))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
#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 (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z)))
#s(approx (+ (* (sqrt z) y) x) (+.f64 x (*.f64 y (sqrt.f64 z))))
#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 (* x (sqrt (/ 1 z))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (/ y (* x (sqrt (/ 1 z)))) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* 1/2 (/ y (* x (sqrt (/ 1 z))))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (+ 1/2 (* 1/2 (/ y (* x (sqrt (/ 1 z)))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) x))
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))))
#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 (* 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 (+ (* (sqrt z) y) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) 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 (+ 1/2 (* 1/2 (/ y (* x (sqrt (/ 1 z)))))) #s(literal 1/2 binary64))
#s(approx (+ 1/2 (* 1/2 (/ y (* x (sqrt (/ 1 z)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) #s(literal 1/2 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 (* 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 (+ (* (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 (* (+ (* (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 y y)
#s(approx (/ y (sqrt (/ 1 z))) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (* (sqrt 2) y) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (sqrt 2) y) (sqrt (* z 1/2))) (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z)))))
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) 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) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
#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 (* 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 (+ (* (sqrt z) y) x) (*.f64 y (+.f64 (sqrt.f64 z) (/.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 (+ 1/2 (* 1/2 (/ y (* x (sqrt (/ 1 z)))))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))))
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) 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) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))))
#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 (* 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 (+ (* (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 (* (+ (* (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 (+ 1/2 (* 1/2 (/ y (* x (sqrt (/ 1 z)))))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(approx z z)
#s(approx (sqrt z) (sqrt.f64 z))
#s(approx (/ z (sqrt z)) (/.f64 z (sqrt.f64 z)))
#s(approx (* 1/2 (/ z (sqrt z))) (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 z))))
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z)))))
#s(approx (/ 1 z) (/.f64 #s(literal 1 binary64) z))
#s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z))
#s(approx (/ y (sqrt (/ 1 z))) (/.f64 (*.f64 y z) (sqrt.f64 z)))
#s(approx (* 1/2 (/ y (sqrt (/ 1 z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z))))
#s(approx (* y (sqrt (/ 1 z))) (/.f64 (*.f64 y (sqrt.f64 z)) z))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (/.f64 (+.f64 x (*.f64 y (sqrt.f64 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 (* z 1/2) (*.f64 #s(literal 1/2 binary64) z))
#s(approx (sqrt (* z 1/2)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z)))
#s(approx (* x (sqrt (/ 1 z))) (/.f64 (*.f64 x (sqrt.f64 z)) z))
#s(approx (/ y (* x (sqrt (/ 1 z)))) (/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z))))
#s(approx (* 1/2 (/ y (* x (sqrt (/ 1 z))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z)))))
#s(approx (+ 1/2 (* 1/2 (/ y (* x (sqrt (/ 1 z)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z))))))
#s(approx (sqrt z) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (/ z (sqrt z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (* 1/2 (/ z (sqrt z))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (sqrt (/ 1 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (*.f64 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) (*.f64 y (*.f64 z (sqrt.f64 (/.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 1/2)) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1/2 binary64) z))))
#s(approx (* (* (sqrt 2) y) (sqrt (* z 1/2))) (*.f64 y (*.f64 z (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) z))))))
#s(approx (sqrt z) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (/ z (sqrt z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (* 1/2 (/ z (sqrt z))) (/.f64 #s(literal -1/2 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))))))
#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) 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 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1/2 binary64) z)))))
#s(approx (* (* (sqrt 2) y) (sqrt (* z 1/2))) (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) z)))))))
Calls

9 calls:

TimeVariablePoint
23.0ms
z
inf
23.0ms
x
-inf
5.0ms
z
-inf
5.0ms
y
-inf
4.0ms
y
inf

rewrite138.0ms (4.2%)

Memory
-29.6MiB live, 204.8MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047323
072321
1253317
2841308
33177281
04316256
Stop Event
iter-limit
node-limit
iter-limit
Counts
35 → 770
Calls
Call 1
Inputs
z
#s(literal 1/2 binary64)
(sqrt.f64 z)
(/.f64 z (sqrt.f64 z))
(*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 z)))
#s(approx (/ 1/2 (sqrt (/ 1 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 z))))
y
x
(*.f64 x #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ 1/2 (sqrt (/ 1 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 z)))) y (*.f64 x #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) z)
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 z #s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#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 #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(literal 2 binary64)
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) y)
(*.f64 z #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 z #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 1/2 binary64))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 1/2 binary64)))))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))))
Outputs
z
#s(literal 1/2 binary64)
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 z))) (sqrt.f64 (neg.f64 (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 (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1/2 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (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 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (neg.f64 z))
(*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) z)
(*.f64 (sqrt.f64 z) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 0 binary64)))
(*.f64 (sqrt.f64 z) (pow.f64 z #s(literal 0 binary64)))
(*.f64 (sqrt.f64 z) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 z) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 1 binary64)))
(*.f64 (sqrt.f64 z) #s(literal 1 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 z))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)) #s(literal -1/4 binary64))
(pow.f64 (*.f64 z z) #s(literal 1/4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64))
(pow.f64 z #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 #s(literal -1 binary64) z) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 z #s(literal -1 binary64)) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 z)) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))))
(/.f64 (neg.f64 z) (neg.f64 (sqrt.f64 z)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(/.f64 z (sqrt.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(neg.f64 (neg.f64 (sqrt.f64 z)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(fma.f64 (sqrt.f64 z) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 z) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(sqrt.f64 (/.f64 (*.f64 z z) z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))
(sqrt.f64 (*.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) z)))
(sqrt.f64 z)
(fabs.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))))
(fabs.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))))
(fabs.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) z))
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))))
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))))
(fabs.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))))
(fabs.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(fabs.f64 (*.f64 (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z))) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))))
(fabs.f64 (*.f64 (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (sqrt.f64 z) #s(literal -1 binary64)))
(fabs.f64 (/.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z))))
(fabs.f64 (/.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)) (sqrt.f64 z)))
(fabs.f64 (/.f64 (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z))) (neg.f64 (sqrt.f64 z))))
(fabs.f64 (/.f64 (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z)))
(fabs.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(fabs.f64 (neg.f64 (sqrt.f64 z)))
(fabs.f64 (sqrt.f64 z))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 z) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 z))) (sqrt.f64 (neg.f64 (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 (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1/2 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (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 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (neg.f64 z))
(*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) z)
(*.f64 (sqrt.f64 z) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 0 binary64)))
(*.f64 (sqrt.f64 z) (pow.f64 z #s(literal 0 binary64)))
(*.f64 (sqrt.f64 z) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 z) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 1 binary64)))
(*.f64 (sqrt.f64 z) #s(literal 1 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 z))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)) #s(literal -1/4 binary64))
(pow.f64 (*.f64 z z) #s(literal 1/4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64))
(pow.f64 z #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 #s(literal -1 binary64) z) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 z #s(literal -1 binary64)) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 z)) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))))
(/.f64 (neg.f64 z) (neg.f64 (sqrt.f64 z)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(/.f64 z (sqrt.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(neg.f64 (neg.f64 (sqrt.f64 z)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(fma.f64 (sqrt.f64 z) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 z) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(sqrt.f64 (/.f64 (*.f64 z z) z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))
(sqrt.f64 (*.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) z)))
(sqrt.f64 z)
(fabs.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))))
(fabs.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))))
(fabs.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) z))
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))))
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))))
(fabs.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))))
(fabs.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(fabs.f64 (*.f64 (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z))) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))))
(fabs.f64 (*.f64 (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (sqrt.f64 z) #s(literal -1 binary64)))
(fabs.f64 (/.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z))))
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(fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z)) (/.f64 x x) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 y (sqrt.f64 z)) x) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64)) x))
(fma.f64 x (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64)) x))
(fma.f64 y (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) #s(literal 1/2 binary64)) x) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 y (*.f64 (/.f64 (sqrt.f64 z) x) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 (/.f64 y x) x) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) x)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) x) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64)) x))
(-.f64 (*.f64 (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) x))
(+.f64 (*.f64 (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64)) x) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64)) x))
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))

eval291.0ms (8.9%)

Memory
19.0MiB live, 204.1MiB allocated; 25ms collecting garbage
Compiler

Compiled 29 706 to 5 162 computations (82.6% saved)

prune27.0ms (0.8%)

Memory
18.3MiB live, 62.6MiB allocated; 5ms collecting garbage
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1 06051 065
Fresh000
Picked505
Done134
Total1 06681 074
Accuracy
100.0%
Counts
1 074 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
50.6%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (*.f64 #s(literal 6369051672525773/4503599627370496 binary64) y) (sqrt.f64 (*.f64 z #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))
47.3%
(*.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))
51.0%
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y))
88.6%
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 x (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 z) #s(literal 1/2 binary64))))
50.6%
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) (/.f64 y #s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z)))))
45.0%
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) #s(approx (/ y (sqrt (/ 1 z))) (/.f64 (*.f64 y z) (sqrt.f64 z)))))
50.7%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 163 to 126 computations (22.7% saved)

regimes158.0ms (4.8%)

Memory
-10.5MiB live, 225.8MiB allocated; 30ms collecting garbage
Counts
1 → 1
2 → 3
4 → 3
8 → 1
29 → 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))))
Outputs
#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))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
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))))
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Call 4
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))))
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) #s(approx (/ y (sqrt (/ 1 z))) (/.f64 (*.f64 y z) (sqrt.f64 z)))))
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) (/.f64 y #s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z)))))
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
Outputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
Call 5
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))))
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) #s(approx (/ y (sqrt (/ 1 z))) (/.f64 (*.f64 y z) (sqrt.f64 z)))))
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) (/.f64 y #s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z)))))
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
(fma.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (*.f64 #s(literal 6369051672525773/4503599627370496 binary64) y) (sqrt.f64 (*.f64 z #s(literal 1/2 binary64))))) #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))))))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) #s(literal 1/2 binary64))
(*.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 (sqrt.f64 #s(literal 2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 x (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 z) #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ 1/2 (sqrt (/ 1 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 z)))) y (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) y (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z))) y x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) y x) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) y) (sqrt.f64 (sqrt.f64 z)) x) #s(literal 1/2 binary64))
(*.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 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 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 (/ 1 (pow z -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))))))))
(*.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))))))
Outputs
(fma.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (*.f64 x #s(literal 1/2 binary64)))
Calls

29 calls:

27.0ms
(sqrt.f64 z)
14.0ms
x
13.0ms
z
11.0ms
z
11.0ms
z
Results
AccuracySegmentsBranch
50.7%1(+.f64 x (*.f64 y (sqrt.f64 z)))
50.7%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
50.7%1(sqrt.f64 z)
50.7%1z
50.7%1y
50.7%1(*.f64 y (sqrt.f64 z))
50.7%1x
79.8%3x
66.3%5(sqrt.f64 z)
76.5%3(*.f64 y (sqrt.f64 z))
63.3%5(+.f64 x (*.f64 y (sqrt.f64 z)))
63.3%5(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
80.1%3x
76.0%3y
66.3%5z
99.5%1(sqrt.f64 z)
99.5%1(*.f64 y (sqrt.f64 z))
99.5%1(+.f64 x (*.f64 y (sqrt.f64 z)))
99.5%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
99.5%1x
99.5%1y
99.5%1z
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 609 to 290 computations (52.4% saved)

bsearch98.0ms (3.0%)

Memory
-27.0MiB live, 40.6MiB allocated; 128ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
85.0ms
1.8010225000052184e+66
6.311699275175158e+71
10.0ms
-5802490343753.829
-2983007391.14378
Samples
85.0ms272×0valid
Compiler

Compiled 574 to 543 computations (5.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-mult!: 76.0ms (97.1% of total)
ival-sqrt: 2.0ms (2.6% of total)
ival-add!: 1.0ms (1.3% of total)
adjust: 0.0ms (0.0% of total)

bsearch2.0ms (0.1%)

Memory
2.9MiB live, 2.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.8010225000052184e+66
6.311699275175158e+71
1.0ms
-5802490343753.829
-2983007391.14378
Compiler

Compiled 540 to 526 computations (2.6% saved)

derivations87.0ms (2.6%)

Memory
0.3MiB live, 95.3MiB allocated; 21ms collecting garbage
Stop Event
fuel
Compiler

Compiled 138 to 39 computations (71.7% saved)

preprocess29.0ms (0.9%)

Memory
36.7MiB live, 82.2MiB allocated; 7ms collecting garbage
Compiler

Compiled 148 to 49 computations (66.9% saved)

end0.0ms (0.0%)

Memory
0.0MiB live, 0.1MiB allocated; 0ms collecting garbage

Profiling

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