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

Time bar (total: 2.9s)

start0.0ms (0.0%)

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

analyze69.0ms (2.4%)

Memory
-0.5MiB live, 53.8MiB allocated; 16ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%99.9%0.1%0.0%0.0%0.0%0
0.0%0.0%99.9%0.1%0.0%0.0%0.0%1
0.0%0.0%99.9%0.1%0.0%0.0%0.0%2
0.0%0.0%99.9%0.1%0.0%0.0%0.0%3
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)

sample940.0ms (32.2%)

Memory
23.1MiB live, 1 480.2MiB allocated; 318ms collecting garbage
Samples
453.0ms8 256×0valid
127.0ms1 996×0invalid
Precisions
Click to see histograms. Total time spent on operations: 250.0ms
ival-mult!: 141.0ms (56.4% of total)
ival-sqrt: 82.0ms (32.8% of total)
ival-add!: 24.0ms (9.6% of total)
adjust: 2.0ms (0.8% of total)
Bogosity

preprocess28.0ms (1.0%)

Memory
-9.0MiB live, 38.2MiB 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
99.9%
(*.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
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
(/ 1 2)
1
2
Outputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 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)

series15.0ms (0.5%)

Memory
36.3MiB live, 36.3MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

9 calls:

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

rewrite113.0ms (3.9%)

Memory
2.2MiB live, 192.7MiB allocated; 25ms 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
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 x (*.f64 y (sqrt.f64 z)))
x
(*.f64 y (sqrt.f64 z))
y
(sqrt.f64 z)
z
Outputs
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y)) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (fma.f64 (sqrt.f64 z) y x)))
(*.f64 (neg.f64 (fma.f64 (sqrt.f64 z) y x)) #s(literal -1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) x))) (+.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y)))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y))))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))))))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 z) y x)))
(neg.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1/2 binary64)))
(neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))))
(neg.f64 (neg.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 z)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (neg.f64 y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 y) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) y))) (*.f64 (sqrt.f64 z) y))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 z) y))) (*.f64 (sqrt.f64 z) y))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) x)
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y)) (*.f64 (neg.f64 x) (neg.f64 x))) (+.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y) (fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y)) (*.f64 x x)) (-.f64 (*.f64 (sqrt.f64 z) y) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 (neg.f64 y) (sqrt.f64 z)))) (+.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 z) y) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y))) (-.f64 x (*.f64 (sqrt.f64 z) y)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y)) (*.f64 x (*.f64 (sqrt.f64 z) y)))))
(neg.f64 (neg.f64 (fma.f64 (sqrt.f64 z) y x)))
(fma.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 y) x)
(fma.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z)) x)
(fma.f64 (sqrt.f64 z) y x)
(fma.f64 y (sqrt.f64 z) x)
(-.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 x))
(-.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)))
(+.f64 (*.f64 (sqrt.f64 z) y) x)
(+.f64 x (*.f64 (sqrt.f64 z) y))
x
(*.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)))
y
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 (sqrt.f64 z)) z) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 z)) z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 z) z) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 z))) (sqrt.f64 (neg.f64 (sqrt.f64 z))))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) z)
(*.f64 (pow.f64 z #s(literal 0 binary64)) (sqrt.f64 z))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 z (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 z (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 z) (pow.f64 z #s(literal 0 binary64)))
(pow.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 1/8 binary64))
(pow.f64 (*.f64 z z) #s(literal 1/4 binary64))
(pow.f64 z #s(literal 1/2 binary64))
(/.f64 (pow.f64 z #s(literal 1 binary64)) (sqrt.f64 z))
(/.f64 (sqrt.f64 z) (pow.f64 z #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))
(neg.f64 (neg.f64 (sqrt.f64 z)))
(sqrt.f64 z)
(fabs.f64 (neg.f64 (sqrt.f64 z)))
(fabs.f64 (sqrt.f64 z))
(exp.f64 (*.f64 (log.f64 (*.f64 z z)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))
z

eval14.0ms (0.5%)

Memory
-19.1MiB live, 27.1MiB allocated; 4ms collecting garbage
Compiler

Compiled 2 027 to 448 computations (77.9% saved)

prune7.0ms (0.2%)

Memory
16.5MiB live, 16.5MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1099118
Fresh000
Picked101
Done000
Total1109119
Accuracy
100.0%
Counts
119 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
99.7%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (/.f64 (pow.f64 z #s(literal 1 binary64)) (sqrt.f64 z)))))
99.8%
(*.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))))))
99.8%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (*.f64 (pow.f64 z #s(literal -1/2 binary64)) z))))
99.7%
(*.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))))))
79.8%
#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)))))
48.9%
#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))))))
49.0%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
52.6%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 280 to 242 computations (13.6% saved)

sample0.0ms (0.0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1/2
1
(/ 1 2)
2
-1/2
Outputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 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)

series157.0ms (5.4%)

Memory
8.4MiB live, 193.2MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02261274
Stop Event
iter-limit
Counts
30 → 68
Calls
Call 1
Inputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 z) y x)
(sqrt.f64 z)
z
y
x
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
(*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x z))
(/.f64 x z)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 x (*.f64 y (/.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 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))
(pow.f64 z #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
Outputs
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z)))
#s(approx (+ (* (sqrt z) y) x) (+.f64 x (*.f64 y (sqrt.f64 z))))
#s(approx x x)
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))
#s(approx (* 1/2 (/ x z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))
#s(approx (/ x z) (/.f64 x z))
#s(approx (* (/ 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 (+ 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 (* (+ (* (sqrt z) y) x) 1/2) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))))
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x)))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* (/ 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 (+ 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 (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1/2 binary64)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1 binary64)))))
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x)) #s(literal 1/2 binary64)))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* (/ 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 (+ 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 y y)
#s(approx (* y (* z (sqrt (/ 1 z)))) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* y (sqrt (/ 1 z))) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y z))))))
#s(approx (* (/ 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 (+ 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 (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 z) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 y z)))))))
#s(approx (* (/ 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 (+ 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 (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))))
#s(approx (sqrt z) (sqrt.f64 z))
#s(approx z z)
#s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z))
#s(approx (/ 1 z) (/.f64 #s(literal 1 binary64) z))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) z))
#s(approx (* y (sqrt (/ 1 z))) (/.f64 (*.f64 y (sqrt.f64 z)) z))
#s(approx (* (/ 1 2) (+ 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 (/ 1 (pow z -1/2)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))))
#s(approx (pow z -1/2) (pow.f64 z #s(literal -1/2 binary64)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))
#s(approx (sqrt z) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (sqrt (/ 1 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
#s(approx (* (/ 1 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 (+ 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 (* y (/ 1 (pow z -1/2))) (/.f64 y (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))
#s(approx (/ 1 (pow z -1/2)) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))
#s(approx (pow z -1/2) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
#s(approx (sqrt z) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1/2 binary64) (/.f64 x z))))))
Calls

9 calls:

TimeVariablePoint
28.0ms
y
-inf
26.0ms
y
0
22.0ms
y
inf
19.0ms
z
inf
19.0ms
x
0

rewrite167.0ms (5.7%)

Memory
0.3MiB live, 325.5MiB allocated; 77ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035188
058168
1220168
2694168
32368164
04514152
Stop Event
iter-limit
node-limit
iter-limit
Counts
30 → 1 589
Calls
Call 1
Inputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 z) y x)
(sqrt.f64 z)
z
y
x
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
(*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x z))
(/.f64 x z)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 x (*.f64 y (/.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 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))
(pow.f64 z #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (neg.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal -1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (fma.f64 y (sqrt.f64 z) x)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x y))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
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(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(fma.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
(fma.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64) (*.f64 (sqrt.f64 z) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(fma.f64 (neg.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) (*.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)) (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 z) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) (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 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (*.f64 (sqrt.f64 z) #s(literal 0 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (*.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(fma.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 z) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 z) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 z) #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 z) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(fma.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 z) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(fma.f64 #s(literal 1 binary64) (/.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) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 z) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 z) (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 z) (*.f64 (sqrt.f64 z) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 z) (*.f64 #s(literal 0 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))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (*.f64 (sqrt.f64 z) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (*.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(fma.f64 (sqrt.f64 z) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
(fma.f64 (sqrt.f64 z) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 z) #s(literal 1 binary64) (*.f64 (sqrt.f64 z) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 z) #s(literal 1 binary64) (*.f64 #s(literal 0 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 (sqrt.f64 z) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(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 z) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))))
(+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (sqrt.f64 z))
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(+.f64 (sqrt.f64 z) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
(+.f64 (sqrt.f64 z) (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 2 binary64))))
(+.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) #s(literal 0 binary64)))
(+.f64 (sqrt.f64 z) (*.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(+.f64 (sqrt.f64 z) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(*.f64 (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (sqrt.f64 (/.f64 #s(literal 1 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 #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 z) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(*.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) #s(literal 1/2 binary64)) (pow.f64 (neg.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 (sqrt.f64 (/.f64 #s(literal -1 binary64) z)) (sqrt.f64 #s(literal -1 binary64)))
(*.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 (/.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 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) z)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 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 (sqrt.f64 #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (sqrt.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)))
(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) z) #s(literal 1/2 binary64))
(pow.f64 z #s(literal -1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (*.f64 (neg.f64 z) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (neg.f64 z))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 z)))
(/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 z))
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
(neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(fabs.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
(fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
(fabs.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal -1 binary64)))
(fabs.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(fabs.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(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)))
(hypot.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 z))) (/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))))
(hypot.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 z))) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(hypot.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z))))
(hypot.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 z))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(hypot.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(hypot.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))))
(hypot.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(hypot.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z))))
(hypot.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 z)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(hypot.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(hypot.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 z))))
(hypot.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) (/.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(hypot.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 z))))
(hypot.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(hypot.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z))) (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 z))))
(hypot.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z))) (/.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(hypot.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 z))))
(hypot.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(hypot.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 z))))
(hypot.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal 0 binary64) (sqrt.f64 z)))
#s(literal -1/2 binary64)

eval266.0ms (9.1%)

Memory
17.0MiB live, 519.6MiB allocated; 133ms collecting garbage
Compiler

Compiled 41 997 to 6 288 computations (85.0% saved)

prune35.0ms (1.2%)

Memory
11.9MiB live, 102.3MiB allocated; 9ms collecting garbage
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1 56671 573
Fresh404
Picked235
Done000
Total1 572101 582
Accuracy
100.0%
Counts
1 582 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y x) #s(literal 1/2 binary64))
99.7%
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) y x) #s(literal 1/2 binary64))
99.9%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
79.6%
(*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))
49.0%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
42.8%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y)))
43.1%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 #s(literal 1/2 binary64) z)))
43.1%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
48.9%
#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))))))
52.6%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 316 to 250 computations (20.9% saved)

sample0.0ms (0.0%)

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

Compiled 4 to 4 computations (0.0% saved)

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

series89.0ms (3.0%)

Memory
-65.1MiB live, 78.5MiB allocated; 111ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01921152
Stop Event
iter-limit
Counts
27 → 59
Calls
Call 1
Inputs
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y x) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
(sqrt.f64 z)
z
y
x
#s(literal 1/2 binary64)
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
(*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.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))))
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 #s(literal 1/2 binary64) z)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 #s(literal 1/2 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)
(*.f64 #s(literal 1/2 binary64) z)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) z) y)
Outputs
#s(approx (* (+ (* (/ 1 (/ 1 (sqrt z))) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
#s(approx (* (+ (* (/ 1 (/ 1 (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 (+ (* (/ 1 (/ 1 (sqrt z))) y) x) (*.f64 y (sqrt.f64 z)))
#s(approx (+ (* (/ 1 (/ 1 (sqrt z))) y) x) (+.f64 x (*.f64 y (sqrt.f64 z))))
#s(approx x x)
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))
#s(approx (* (+ (* (/ 1 (/ 1 (sqrt z))) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* (/ 1 (/ 1 (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 (/ 1 (sqrt z))) y) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))))
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x)))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* (+ (* (/ 1 (/ 1 (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 (+ (* (/ 1 (/ 1 (sqrt z))) y) x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1 binary64)))))
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x)) #s(literal 1/2 binary64)))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z))))))
#s(approx y y)
#s(approx (* y (sqrt (/ 1 z))) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (* (* (/ 1 (sqrt z)) y) (* 1/2 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z))))
#s(approx (* (/ 1 (sqrt z)) y) (/.f64 y (sqrt.f64 z)))
#s(approx (* (* 1/2 z) y) (*.f64 #s(literal 1/2 binary64) (*.f64 y z)))
#s(approx (* (+ (* (/ 1 (/ 1 (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 (/ 1 (sqrt z))) y) x) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y z))))))
#s(approx (* (+ (* (/ 1 (/ 1 (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 (/ 1 (sqrt z))) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 z) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 y z)))))))
#s(approx (* (+ (* (/ 1 (/ 1 (sqrt z))) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))))
#s(approx (/ 1 (/ 1 (sqrt z))) (sqrt.f64 z))
#s(approx (/ 1 (sqrt z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
#s(approx z z)
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) z))
#s(approx (* 1/2 (* y (sqrt (/ 1 z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) z)))
#s(approx (* y (sqrt (/ 1 z))) (/.f64 (*.f64 y (sqrt.f64 z)) z))
#s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z))
#s(approx (/ 1 z) (/.f64 #s(literal 1 binary64) z))
#s(approx (* 1/2 z) (*.f64 #s(literal 1/2 binary64) z))
#s(approx (* (+ (* (/ 1 (/ 1 (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 (+ (* (/ 1 (/ 1 (sqrt z))) y) x) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (+ (* (/ 1 (/ 1 (sqrt z))) y) x) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))
#s(approx (/ 1 (/ 1 (sqrt z))) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (/ 1 (sqrt z)) (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (sqrt (/ 1 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
#s(approx (* (* (/ 1 (sqrt z)) y) (* 1/2 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* (/ 1 (sqrt z)) y) (/.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* (+ (* (/ 1 (/ 1 (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 (* (+ (* (/ 1 (/ 1 (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 (+ (* (/ 1 (/ 1 (sqrt z))) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (+ (* (/ 1 (/ 1 (sqrt z))) y) x) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
#s(approx (/ 1 (/ 1 (sqrt z))) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (/ 1 (sqrt z)) (/.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1/2 binary64) (/.f64 x z))))))
#s(approx (* (* (/ 1 (sqrt z)) y) (* 1/2 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* (/ 1 (sqrt z)) y) (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
Calls

9 calls:

TimeVariablePoint
5.0ms
y
inf
4.0ms
z
-inf
3.0ms
z
0
3.0ms
y
-inf
3.0ms
z
inf

rewrite134.0ms (4.6%)

Memory
32.2MiB live, 272.1MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
042240
061217
1223207
2730199
32739178
04552178
Stop Event
iter-limit
node-limit
iter-limit
Counts
27 → 1 374
Calls
Call 1
Inputs
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y x) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
(sqrt.f64 z)
z
y
x
#s(literal 1/2 binary64)
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
(*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.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))))
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 #s(literal 1/2 binary64) z)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 #s(literal 1/2 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)
(*.f64 #s(literal 1/2 binary64) z)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) z) y)
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (neg.f64 x))) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 x))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (neg.f64 x))) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 x))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 x))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 x))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (neg.f64 x))) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) #s(literal 2 binary64)) (neg.f64 x))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 x))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y)) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 x))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (neg.f64 x))) (*.f64 (sqrt.f64 z) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 z))) (neg.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 z))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 2 binary64)) (neg.f64 x))) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 z)) (neg.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 z)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 x))) (*.f64 (neg.f64 (sqrt.f64 z)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (neg.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (neg.f64 x))) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (neg.f64 x))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 x))) #s(literal 2 binary64))
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(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y)) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 y (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 y (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) z (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) z (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 y (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) z) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) z) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)) (*.f64 #s(literal 0 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 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))))
(fma.f64 z (*.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 z (*.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(+.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal -2 binary64)) #s(literal 2 binary64))
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) z)
(*.f64 (*.f64 y z) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) z) y)
(*.f64 #s(literal 1/2 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 1/2 binary64) z))
(*.f64 z (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y))) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y)))
(neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y))
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal -2 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) #s(literal 0 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal -2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y)))
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y)))
(fma.f64 (*.f64 y z) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) #s(literal 0 binary64)))
(fma.f64 (*.f64 y z) #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) z) y (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) z) y (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y z) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y z) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y)))
(fma.f64 y (*.f64 #s(literal 1/2 binary64) z) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) #s(literal 0 binary64)))
(fma.f64 y (*.f64 #s(literal 1/2 binary64) z) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y)))
(fma.f64 z (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) #s(literal 0 binary64)))
(fma.f64 z (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y)))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) #s(literal 0 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y)))

eval195.0ms (6.7%)

Memory
-0.3MiB live, 366.5MiB allocated; 64ms collecting garbage
Compiler

Compiled 29 346 to 4 514 computations (84.6% saved)

prune59.0ms (2.0%)

Memory
-22.0MiB live, 131.2MiB allocated; 47ms collecting garbage
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1 20841 212
Fresh112
Picked415
Done123
Total1 21481 222
Accuracy
100.0%
Counts
1 222 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
79.6%
(*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))
42.8%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64))
49.0%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
42.8%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 y z)))
43.1%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y))))
52.6%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
49.1%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(approx (* (* (/ 1 (sqrt z)) y) (* 1/2 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
Compiler

Compiled 276 to 209 computations (24.3% saved)

sample0.0ms (0.0%)

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

Compiled 4 to 4 computations (0.0% saved)

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

series74.0ms (2.5%)

Memory
29.2MiB live, 164.7MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03122266
Stop Event
iter-limit
Counts
29 → 93
Calls
Call 1
Inputs
(*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) (/.f64 #s(literal 1 binary64) z))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x)
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
#s(literal 1 binary64)
(sqrt.f64 z)
z
x
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)
y
(/.f64 #s(literal 1 binary64) z)
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y))))
(*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y)))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y)
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 y z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 y z))
(*.f64 y z)
(*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z)))
(/.f64 (*.f64 y z) (sqrt.f64 z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(approx (* (* (/ 1 (sqrt z)) y) (* 1/2 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* (* (/ 1 (sqrt z)) y) (* 1/2 z)) (*.f64 #s(literal 1/2 binary64) (/.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))))
(/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
Outputs
#s(approx (* (/ (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/ 1 z)) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z))))
#s(approx (* (/ (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/ 1 z)) 1/2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x z) (pow.f64 (sqrt.f64 z) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z)))))
#s(approx (/ (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/ 1 z)) (/.f64 (*.f64 y z) (sqrt.f64 z)))
#s(approx (/ (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/ 1 z)) (+.f64 (/.f64 (*.f64 x z) (pow.f64 (sqrt.f64 z) #s(literal 2 binary64))) (/.f64 (*.f64 y z) (sqrt.f64 z))))
#s(approx (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/.f64 y (sqrt.f64 z)))
#s(approx (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (+.f64 (/.f64 x (pow.f64 (sqrt.f64 z) #s(literal 2 binary64))) (/.f64 y (sqrt.f64 z))))
#s(approx (* (/ 1 (sqrt z)) x) (/.f64 x (sqrt.f64 z)))
#s(approx x 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)))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))))
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z)))
#s(approx (+ (* (sqrt z) y) x) (+.f64 x (*.f64 y (sqrt.f64 z))))
#s(approx (* (/ (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/ 1 z)) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x z) (pow.f64 (sqrt.f64 z) #s(literal 2 binary64)))))
#s(approx (* (/ (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/ 1 z)) 1/2) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 z (pow.f64 (sqrt.f64 z) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z)))))))
#s(approx (/ (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/ 1 z)) (/.f64 (*.f64 x z) (pow.f64 (sqrt.f64 z) #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/ 1 z)) (*.f64 x (+.f64 (/.f64 z (pow.f64 (sqrt.f64 z) #s(literal 2 binary64))) (/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z))))))
#s(approx (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/.f64 x (pow.f64 (sqrt.f64 z) #s(literal 2 binary64))))
#s(approx (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 z) #s(literal 2 binary64))) (/.f64 y (*.f64 x (sqrt.f64 z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)))))
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x)))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))))
#s(approx (* (/ (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/ 1 z)) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 z (pow.f64 (sqrt.f64 z) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z))))))))
#s(approx (/ (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/ 1 z)) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 (sqrt.f64 z) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z))))))))
#s(approx (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (sqrt.f64 z)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 z) #s(literal 2 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 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x)) #s(literal 1/2 binary64)))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z))))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1 binary64)))))
#s(approx y y)
#s(approx (* (/ 1/2 (sqrt z)) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 z))))
#s(approx (* y z) (*.f64 y z))
#s(approx (* 1/2 (/ y (sqrt (/ 1 z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (/ y (sqrt (/ 1 z))) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (* (/ (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/ 1 z)) 1/2) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x z) (*.f64 y (pow.f64 (sqrt.f64 z) #s(literal 2 binary64))))))))
#s(approx (/ (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/ 1 z)) (*.f64 y (+.f64 (/.f64 z (sqrt.f64 z)) (/.f64 (*.f64 x z) (*.f64 y (pow.f64 (sqrt.f64 z) #s(literal 2 binary64)))))))
#s(approx (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (*.f64 y (pow.f64 (sqrt.f64 z) #s(literal 2 binary64)))))))
#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 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y z))))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))
#s(approx (* (/ (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/ 1 z)) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) (*.f64 y (pow.f64 (sqrt.f64 z) #s(literal 2 binary64)))))))))
#s(approx (/ (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/ 1 z)) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 z (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (*.f64 y (pow.f64 (sqrt.f64 z) #s(literal 2 binary64)))))))))
#s(approx (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y (pow.f64 (sqrt.f64 z) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))))
#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 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 y z)))))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 z) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))
#s(approx (* (/ (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/ 1 z)) 1/2) (*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (/.f64 x (pow.f64 (sqrt.f64 z) #s(literal 2 binary64))) (/.f64 y (sqrt.f64 z))))))
#s(approx (/ (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/ 1 z)) (*.f64 z (+.f64 (/.f64 x (pow.f64 (sqrt.f64 z) #s(literal 2 binary64))) (/.f64 y (sqrt.f64 z)))))
#s(approx (/ 1 (sqrt z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
#s(approx (sqrt z) (sqrt.f64 z))
#s(approx z z)
#s(approx (/ 1 z) (/.f64 #s(literal 1 binary64) z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) z))
#s(approx (/ 1/2 (sqrt z)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
#s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z))
#s(approx (* (/ (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/ 1 z)) 1/2) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 z (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (/ (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/ 1 z)) (+.f64 (/.f64 x (*.f64 z (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/.f64 (+.f64 (/.f64 x (*.f64 z (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) z))
#s(approx (* (/ 1 (sqrt z)) x) (/.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (/ 1 (sqrt z)) (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (sqrt z) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (* (/ 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 (sqrt z)) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (/ 1/2 (sqrt z)) (/.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (/ 1 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
#s(approx (* (/ (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/ 1 z)) 1/2) (*.f64 #s(literal -1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* (/ (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/ 1 z)) 1/2) (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 (*.f64 z (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))))
#s(approx (/ (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/ 1 z)) (*.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (/ (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/ 1 z)) (fma.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x (*.f64 z (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))))))
#s(approx (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 z (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) z)))
#s(approx (* (/ 1 (sqrt z)) x) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (/ 1 (sqrt z)) (/.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (sqrt z) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))))
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1/2 binary64) (/.f64 x z))))))
#s(approx (* (/ 1/2 (sqrt z)) y) (*.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (/ 1/2 (sqrt z)) (/.f64 #s(literal -1/2 binary64) (*.f64 z (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)))))))
Calls

9 calls:

TimeVariablePoint
27.0ms
y
-inf
7.0ms
y
inf
5.0ms
z
-inf
5.0ms
z
0
4.0ms
z
inf

rewrite153.0ms (5.2%)

Memory
-5.3MiB live, 314.1MiB allocated; 62ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048300
069291
1262257
21042240
04176229
Stop Event
iter-limit
node-limit
iter-limit
Counts
29 → 1 042
Calls
Call 1
Inputs
(*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) (/.f64 #s(literal 1 binary64) z))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x)
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
#s(literal 1 binary64)
(sqrt.f64 z)
z
x
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)
y
(/.f64 #s(literal 1 binary64) z)
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y))))
(*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y)))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y)
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 y z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 y z))
(*.f64 y z)
(*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z)))
(/.f64 (*.f64 y z) (sqrt.f64 z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(approx (* (* (/ 1 (sqrt z)) y) (* 1/2 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* (* (/ 1 (sqrt z)) y) (* 1/2 z)) (*.f64 #s(literal 1/2 binary64) (/.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))))
(/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x z) z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x z) z)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 x z) z) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (/.f64 x z) z) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 (fma.f64 y (sqrt.f64 z) x) z) #s(literal -1/2 binary64)) (neg.f64 z))
(*.f64 (*.f64 (/.f64 (fma.f64 y (sqrt.f64 z) x) z) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (fma.f64 (/.f64 x z) z (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y (sqrt.f64 z) x) z)) z)
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 y (sqrt.f64 z) x) z) (*.f64 #s(literal -1 binary64) z)))
(*.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 y (sqrt.f64 z) x) z))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) z (*.f64 y (sqrt.f64 z))))
(*.f64 (/.f64 (fma.f64 y (sqrt.f64 z) x) z) (*.f64 #s(literal 1/2 binary64) z))
(/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 x z) z) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 z)) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 z)))
(/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 x z) z) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y))) (neg.f64 (sqrt.f64 z)))
(/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 x z) z) #s(literal 1/2 binary64)) (sqrt.f64 z) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y))) (sqrt.f64 z))
(/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 x z) z) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (*.f64 y z))) (neg.f64 (sqrt.f64 z)))
(/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 x z) z) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 z)) (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y))) (neg.f64 (sqrt.f64 z)))
(/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 x z) z) #s(literal 1/2 binary64)) (sqrt.f64 z) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y)) (sqrt.f64 z))
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(/.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) (*.f64 (neg.f64 (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) z)))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) z)))
(/.f64 (neg.f64 (*.f64 (*.f64 y z) #s(literal -1 binary64))) (neg.f64 (neg.f64 (sqrt.f64 z))))
(/.f64 (neg.f64 (*.f64 (*.f64 y z) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 z)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 z) y))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 z)))))
(/.f64 (neg.f64 (/.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z))
(/.f64 (*.f64 (*.f64 y z) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 (*.f64 y z) #s(literal 1 binary64)) (sqrt.f64 z))
(/.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 (sqrt.f64 z) (/.f64 #s(literal -1 binary64) z)))
(/.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 #s(literal -1 binary64) z) (sqrt.f64 z)))
(/.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) z)))
(/.f64 (neg.f64 (/.f64 (neg.f64 y) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))
(/.f64 (neg.f64 (*.f64 (neg.f64 z) y)) (neg.f64 (neg.f64 (sqrt.f64 z))))
(/.f64 (/.f64 (neg.f64 y) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) z))
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(/.f64 (*.f64 (neg.f64 z) y) (*.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(/.f64 (*.f64 (neg.f64 z) y) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z))))
(/.f64 (*.f64 (neg.f64 z) y) (*.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 z) y) (*.f64 (sqrt.f64 z) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 z) y) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 y z) (sqrt.f64 z))
(/.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64))
(/.f64 (/.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) z))
(/.f64 y (*.f64 (neg.f64 (neg.f64 (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) z)))
(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 z)))
(/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (*.f64 y z) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) (*.f64 (*.f64 y z) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 (sqrt.f64 z))) (neg.f64 (*.f64 (neg.f64 z) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (neg.f64 y) (sqrt.f64 z))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (neg.f64 z) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (sqrt.f64 z))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) (*.f64 y z)))
(neg.f64 (/.f64 (*.f64 y z) (neg.f64 (sqrt.f64 z))))
(neg.f64 (/.f64 (*.f64 (neg.f64 z) y) (sqrt.f64 z)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(approx (* (* (/ 1 (sqrt z)) y) (* 1/2 z)) (*.f64 (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64))))
#s(approx (* (* (/ 1 (sqrt z)) y) (* 1/2 z)) (*.f64 (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 y))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) y))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 y)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) y)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 (neg.f64 y) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (neg.f64 (*.f64 #s(literal 1/2 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) y)
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
(/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (neg.f64 (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))
(neg.f64 (/.f64 y (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
(neg.f64 (/.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(*.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 (/.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 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) z)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 z)))
(/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 (neg.f64 (neg.f64 z))))
(/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
(fabs.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(fabs.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))

eval225.0ms (7.7%)

Memory
7.4MiB live, 396.8MiB allocated; 100ms collecting garbage
Compiler

Compiled 35 151 to 5 461 computations (84.5% saved)

prune38.0ms (1.3%)

Memory
-21.4MiB live, 79.0MiB allocated; 8ms collecting garbage
Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New1 34811 349
Fresh000
Picked145
Done033
Total1 34981 357
Accuracy
100.0%
Counts
1 357 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
43.1%
(*.f64 (/.f64 #s(approx (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/.f64 y (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))
42.8%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64))
49.0%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
42.8%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 y z)))
43.1%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y))))
52.6%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
49.1%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(approx (* (* (/ 1 (sqrt z)) y) (* 1/2 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
Compiler

Compiled 161 to 125 computations (22.4% saved)

regimes89.0ms (3.0%)

Memory
17.7MiB live, 209.3MiB allocated; 10ms collecting garbage
Counts
1 → 1
3 → 3
22 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Call 2
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
Call 3
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 y z)))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(approx (* (* (/ 1 (sqrt z)) y) (* 1/2 z)) (*.f64 #s(literal 1/2 binary64) (/.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 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 #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 #s(literal 1/2 binary64) z)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y)))
(*.f64 (/.f64 #s(approx (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/.f64 y (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) y x) #s(literal 1/2 binary64))
(*.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)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (*.f64 (pow.f64 z #s(literal -1/2 binary64)) z))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (/.f64 (pow.f64 z #s(literal 1 binary64)) (sqrt.f64 z)))))
(*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))
Outputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
Calls

21 calls:

19.0ms
(+.f64 x (*.f64 y (sqrt.f64 z)))
7.0ms
y
6.0ms
x
6.0ms
z
6.0ms
(sqrt.f64 z)
Results
AccuracySegmentsBranch
52.6%1(+.f64 x (*.f64 y (sqrt.f64 z)))
52.6%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
52.6%1(sqrt.f64 z)
52.6%1z
52.6%1x
52.6%1y
52.6%1(*.f64 y (sqrt.f64 z))
66.7%2(sqrt.f64 z)
83.7%3(*.f64 y (sqrt.f64 z))
65.1%5(+.f64 x (*.f64 y (sqrt.f64 z)))
65.1%5(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
78.3%3x
81.3%3y
66.7%2z
99.9%1(sqrt.f64 z)
99.9%1(*.f64 y (sqrt.f64 z))
99.9%1(+.f64 x (*.f64 y (sqrt.f64 z)))
99.9%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
99.9%1x
99.9%1y
99.9%1z
Compiler

Compiled 489 to 217 computations (55.6% saved)

bsearch16.0ms (0.5%)

Memory
-9.4MiB live, 36.5MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
4.0ms
3.3181511625465136e+60
3.987565509721542e+60
10.0ms
-1.9100570682533363e+41
-2.1249824313393286e+37
Samples
8.0ms160×0valid
Compiler

Compiled 296 to 298 computations (-0.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sqrt: 3.0ms (61.4% of total)
ival-mult!: 1.0ms (20.5% of total)
adjust: 0.0ms (0.0% of total)
ival-add!: 0.0ms (0.0% of total)

derivations18.0ms (0.6%)

Memory
-5.5MiB live, 39.9MiB allocated; 5ms collecting garbage
Stop Event
fuel
Compiler

Compiled 83 to 25 computations (69.9% saved)

preprocess21.0ms (0.7%)

Memory
33.7MiB live, 78.8MiB allocated; 5ms collecting garbage
Compiler

Compiled 93 to 35 computations (62.4% saved)

end0.0ms (0.0%)

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

Profiling

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