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

Time bar (total: 3.1s)

start0.0ms (0.0%)

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

analyze65.0ms (2.1%)

Memory
-10.1MiB live, 81.1MiB allocated; 14ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%99.9%0.1%0.0%0.0%0.0%0
0.0%0.0%99.9%0.1%0.0%0.0%0.0%1
0.0%0.0%99.9%0.1%0.0%0.0%0.0%2
0.0%0.0%99.9%0.1%0.0%0.0%0.0%3
50.0%49.9%49.9%0.1%0.0%0.0%0.0%4
50.0%49.9%49.9%0.1%0.0%0.0%0.0%5
50.0%49.9%49.9%0.1%0.0%0.0%0.0%6
66.7%49.9%25.0%0.1%0.0%25.0%0.0%7
66.7%49.9%25.0%0.1%0.0%25.0%0.0%8
66.7%49.9%25.0%0.1%0.0%25.0%0.0%9
80.0%49.9%12.5%0.1%0.0%37.4%0.0%10
80.0%49.9%12.5%0.1%0.0%37.4%0.0%11
80.0%49.9%12.5%0.1%0.0%37.4%0.0%12
Compiler

Compiled 12 to 12 computations (0.0% saved)

sample1.4s (44.7%)

Memory
1.8MiB live, 1 465.3MiB allocated; 406ms collecting garbage
Samples
1.0s8 256×0valid
92.0ms2 041×0invalid
Precisions
Click to see histograms. Total time spent on operations: 654.0ms
ival-mult!: 427.0ms (65.3% of total)
ival-sqrt: 192.0ms (29.3% of total)
ival-add!: 34.0ms (5.2% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

preprocess28.0ms (0.9%)

Memory
-38.5MiB live, 54.3MiB 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
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
2
(/ 1 2)
Outputs
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 7 to 5 computations (28.6% saved)

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

series59.0ms (1.9%)

Memory
-5.3MiB live, 51.6MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

9 calls:

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

rewrite110.0ms (3.5%)

Memory
25.3MiB live, 218.7MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
01626
15226
220226
351526
4135526
0423024
Stop Event
iter-limit
node-limit
iter-limit
Counts
10 → 97
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
x
y
z
(sqrt.f64 z)
(*.f64 y (sqrt.f64 z))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
Outputs
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
x
y
z
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 (sqrt.f64 z)) z) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 z)) z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 z) z) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 z))) (sqrt.f64 (neg.f64 (sqrt.f64 z))))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) z)
(*.f64 (pow.f64 z #s(literal 0 binary64)) (sqrt.f64 z))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 z (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 z (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 z) (pow.f64 z #s(literal 0 binary64)))
(pow.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 1/8 binary64))
(pow.f64 (*.f64 z z) #s(literal 1/4 binary64))
(pow.f64 z #s(literal 1/2 binary64))
(/.f64 (pow.f64 z #s(literal 1 binary64)) (sqrt.f64 z))
(/.f64 (sqrt.f64 z) (pow.f64 z #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))
(neg.f64 (neg.f64 (sqrt.f64 z)))
(sqrt.f64 z)
(fabs.f64 (neg.f64 (sqrt.f64 z)))
(fabs.f64 (sqrt.f64 z))
(exp.f64 (*.f64 (log.f64 (*.f64 z z)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) y))) (*.f64 (sqrt.f64 z) y))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 z) y))) (*.f64 (sqrt.f64 z) y))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) x)
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y)) (*.f64 (neg.f64 x) (neg.f64 x))) (+.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y) (fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y)) (*.f64 x x)) (-.f64 (*.f64 (sqrt.f64 z) y) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 (neg.f64 y) (sqrt.f64 z)))) (+.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 z) y) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y))) (-.f64 x (*.f64 (sqrt.f64 z) y)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y)) (*.f64 x (*.f64 (sqrt.f64 z) y)))))
(neg.f64 (neg.f64 (fma.f64 (sqrt.f64 z) y x)))
(fma.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 y) x)
(fma.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z)) x)
(fma.f64 (sqrt.f64 z) y x)
(fma.f64 y (sqrt.f64 z) x)
(-.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 x))
(-.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)))
(+.f64 (*.f64 (sqrt.f64 z) y) x)
(+.f64 x (*.f64 (sqrt.f64 z) y))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y)) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (fma.f64 (sqrt.f64 z) y x)))
(*.f64 (neg.f64 (fma.f64 (sqrt.f64 z) y x)) #s(literal -1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) x))) (+.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y)))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y))))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))))))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 z) y x)))
(neg.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1/2 binary64)))
(neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))))
(neg.f64 (neg.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 z)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (neg.f64 y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 y) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))

eval13.0ms (0.4%)

Memory
-4.0MiB live, 42.7MiB allocated; 2ms collecting garbage
Compiler

Compiled 2 027 to 451 computations (77.8% saved)

prune8.0ms (0.3%)

Memory
-24.9MiB live, 21.7MiB allocated; 3ms 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))
36.2%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 z) y) x)))))
99.7%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (/.f64 (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))))))
99.7%
(*.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))))))
85.3%
#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)))))
47.0%
#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))))))
47.1%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
54.9%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 322 to 254 computations (21.1% saved)

sample0.0ms (0.0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1/2
1
2
(/ 1 2)
Outputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 8 to 6 computations (25.0% saved)

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

series49.0ms (1.6%)

Memory
18.8MiB live, 112.0MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02321329
Stop Event
iter-limit
Counts
29 → 69
Calls
Call 1
Inputs
z
(sqrt.f64 z)
y
x
(fma.f64 (sqrt.f64 z) y 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) x)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) z)
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.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)))))
#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 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(/.f64 x 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 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))))
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(pow.f64 z #s(literal 1 binary64))
(/.f64 (pow.f64 z #s(literal 1 binary64)) (sqrt.f64 z))
(*.f64 y (/.f64 (pow.f64 z #s(literal 1 binary64)) (sqrt.f64 z)))
(+.f64 x (*.f64 y (/.f64 (pow.f64 z #s(literal 1 binary64)) (sqrt.f64 z))))
(*.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)))))
Outputs
#s(approx x x)
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z)))
#s(approx (+ (* (sqrt z) y) x) (+.f64 x (*.f64 y (sqrt.f64 z))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ x z) (/.f64 x z))
#s(approx (* 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 #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 (* 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 (+ x (* y (/ (pow z 1) (sqrt z)))) (/.f64 (*.f64 y z) (sqrt.f64 z)))
#s(approx (+ x (* y (/ (pow z 1) (sqrt z)))) (+.f64 x (/.f64 (*.f64 y z) (sqrt.f64 z))))
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z))))
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)))))
#s(approx (+ (* 1/2 (* 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 (* 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 (+ x (* y (/ (pow z 1) (sqrt z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z))))))
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z)))))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1 binary64)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1/2 binary64)))))
#s(approx (+ (* 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 (* 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 (+ x (* y (/ (pow z 1) (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z)))) #s(literal 1 binary64)))))
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z)))) #s(literal 1/2 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) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
#s(approx (+ (* 1/2 (* 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 (* 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 (+ x (* y (/ (pow z 1) (sqrt z)))) (*.f64 y (+.f64 (/.f64 x y) (/.f64 z (sqrt.f64 z)))))
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 z))))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 z) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
#s(approx (+ (* 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 (* 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 (+ x (* y (/ (pow z 1) (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x y) (*.f64 #s(literal -1 binary64) (/.f64 z (sqrt.f64 z)))))))
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 z)))))))
#s(approx z z)
#s(approx (sqrt z) (sqrt.f64 z))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))))
#s(approx (/ 1 z) (/.f64 #s(literal 1 binary64) z))
#s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z))
#s(approx (* y (sqrt (/ 1 z))) (/.f64 (*.f64 y (sqrt.f64 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 (/ (pow z 1) (sqrt z)) (/.f64 z (sqrt.f64 z)))
#s(approx (sqrt z) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))))
#s(approx (sqrt (/ 1 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
#s(approx (/ (pow z 1) (sqrt z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (* y (/ (pow z 1) (sqrt z))) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (+ x (* y (/ (pow z 1) (sqrt z)))) (+.f64 x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (sqrt z) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))))
#s(approx (* 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 (/ (pow z 1) (sqrt z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (* y (/ (pow z 1) (sqrt z))) (*.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (+ x (* y (/ (pow z 1) (sqrt z)))) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
Calls

9 calls:

TimeVariablePoint
8.0ms
y
-inf
5.0ms
z
-inf
4.0ms
x
0
4.0ms
z
0
3.0ms
y
0

rewrite134.0ms (4.3%)

Memory
27.8MiB live, 307.6MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034191
057158
1217158
2766158
32555130
04311130
Stop Event
iter-limit
node-limit
iter-limit
Counts
29 → 1 229
Calls
Call 1
Inputs
z
(sqrt.f64 z)
y
x
(fma.f64 (sqrt.f64 z) y 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) x)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) z)
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.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)))))
#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 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(/.f64 x 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 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))))
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(pow.f64 z #s(literal 1 binary64))
(/.f64 (pow.f64 z #s(literal 1 binary64)) (sqrt.f64 z))
(*.f64 y (/.f64 (pow.f64 z #s(literal 1 binary64)) (sqrt.f64 z)))
(+.f64 x (*.f64 y (/.f64 (pow.f64 z #s(literal 1 binary64)) (sqrt.f64 z))))
(*.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)))))
Outputs
z
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (sqrt.f64 (*.f64 (sqrt.f64 z) z)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) (neg.f64 z))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 z))) (sqrt.f64 (neg.f64 (sqrt.f64 z))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(*.f64 (sqrt.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 z) (neg.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 z z) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 z) z) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) z) #s(literal 1/2 binary64)))
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(fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 1/2 binary64)) y) z (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 x z) (*.f64 #s(literal 1/2 binary64) z) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 #s(literal 1/2 binary64) z) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 #s(literal 1/2 binary64) x) z) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) z) z) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 1/2 binary64) z)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))
(fma.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 z (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 1/2 binary64)) y) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 z (*.f64 (/.f64 x z) #s(literal 1/2 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 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y) z))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) y) (*.f64 #s(literal 1/2 binary64) z)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 z) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 1/2 binary64)) y)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))))
(+.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))

eval178.0ms (5.7%)

Memory
10.6MiB live, 486.4MiB allocated; 66ms collecting garbage
Compiler

Compiled 28 072 to 4 780 computations (83.0% saved)

prune27.0ms (0.9%)

Memory
-14.6MiB live, 126.9MiB allocated; 5ms collecting garbage
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1 13681 144
Fresh404
Picked505
Done-220
Total1 143101 153
Accuracy
100.0%
Counts
1 153 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(*.f64 (fma.f64 (/.f64 z (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))
47.1%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
43.6%
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z))))
99.9%
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
42.2%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 z x) (/.f64 #s(literal 1/2 binary64) z)))
43.6%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 y z) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
44.0%
#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)))))))
44.0%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 y (sqrt.f64 z)))))
54.9%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 345 to 282 computations (18.3% saved)

sample0.0ms (0.0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1/2
1
Outputs
#s(literal 1/2 binary64)
#s(literal 1 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)

series43.0ms (1.4%)

Memory
-17.0MiB live, 122.3MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02611483
Stop Event
iter-limit
Counts
28 → 76
Calls
Call 1
Inputs
x
y
z
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) z)
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(+.f64 x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(sqrt.f64 z)
(*.f64 y (sqrt.f64 z))
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
(/.f64 y (sqrt.f64 z))
(*.f64 z (/.f64 y (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 y (sqrt.f64 z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 y (sqrt.f64 z)))))
(*.f64 y z)
(/.f64 (*.f64 y z) (sqrt.f64 z))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z)))
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z))))
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (+ (* 1/2 (* 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) (+ 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)))))))
Outputs
#s(approx x x)
#s(approx (+ x (/ y (sqrt (/ 1 z)))) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (+ x (/ y (sqrt (/ 1 z)))) (+.f64 x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* 1/2 (+ x (/ y (sqrt (/ 1 z))))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* 1/2 (+ x (/ y (sqrt (/ 1 z))))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z))))
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z)))
#s(approx (+ (* (sqrt z) y) x) (+.f64 x (*.f64 y (sqrt.f64 z))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))))
#s(approx (+ (* 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 (* 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 (+ x (/ y (sqrt (/ 1 z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
#s(approx (* 1/2 (+ x (/ y (sqrt (/ 1 z))))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* 1/2 (+ x (/ y (sqrt (/ 1 z))))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))))
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z)))))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)))))
#s(approx (+ (* 1/2 (* 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 (* 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 (+ x (/ y (sqrt (/ 1 z)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) #s(literal 1 binary64)))))
#s(approx (* 1/2 (+ x (/ y (sqrt (/ 1 z))))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z)))) #s(literal 1/2 binary64)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1 binary64)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1/2 binary64)))))
#s(approx (+ (* 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 (* 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 y y)
#s(approx (/ y (sqrt z)) (/.f64 y (sqrt.f64 z)))
#s(approx (* z (/ y (sqrt z))) (/.f64 (*.f64 y z) (sqrt.f64 z)))
#s(approx (* y z) (*.f64 y z))
#s(approx (* y (sqrt (/ 1 z))) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (+ x (/ y (sqrt (/ 1 z)))) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x y))))
#s(approx (* 1/2 (+ x (/ y (sqrt (/ 1 z))))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 z))))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
#s(approx (+ (* 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 (* 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 (+ x (/ y (sqrt (/ 1 z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
#s(approx (* 1/2 (+ x (/ y (sqrt (/ 1 z))))) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))))
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 z)))))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 z) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
#s(approx (+ (* 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 (* 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 z z)
#s(approx (/ 1 z) (/.f64 #s(literal 1 binary64) z))
#s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z))
#s(approx (+ x (/ y (sqrt (/ 1 z)))) (+.f64 x (/.f64 (*.f64 y z) (sqrt.f64 z))))
#s(approx (sqrt z) (sqrt.f64 z))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))))
#s(approx (* y (sqrt (/ 1 z))) (/.f64 (*.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 (+ (* 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 (sqrt (/ 1 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
#s(approx (* 1/2 (+ x (/ y (sqrt (/ 1 z))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (sqrt z) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (* y (sqrt z)) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 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 (/ y (sqrt z)) (/.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
#s(approx (sqrt z) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* y (sqrt z)) (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))))
#s(approx (/ y (sqrt z)) (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* z (/ y (sqrt z))) (*.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* 1/2 (* z (/ y (sqrt 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))))))
Calls

9 calls:

TimeVariablePoint
6.0ms
z
-inf
5.0ms
y
0
4.0ms
y
-inf
3.0ms
y
inf
3.0ms
z
0

rewrite253.0ms (8.0%)

Memory
4.8MiB live, 353.5MiB allocated; 188ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048258
067246
1265236
2925236
33148207
04246195
Stop Event
iter-limit
node-limit
iter-limit
Counts
28 → 837
Calls
Call 1
Inputs
x
y
z
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) z)
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(+.f64 x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(sqrt.f64 z)
(*.f64 y (sqrt.f64 z))
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
(/.f64 y (sqrt.f64 z))
(*.f64 z (/.f64 y (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 y (sqrt.f64 z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 y (sqrt.f64 z)))))
(*.f64 y z)
(/.f64 (*.f64 y z) (sqrt.f64 z))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z)))
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z))))
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (+ (* 1/2 (* 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) (+ 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)))))))
Outputs
x
y
z
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 z) z) #s(literal -1 binary64)) (sqrt.f64 z))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 z) (neg.f64 z)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 (*.f64 (neg.f64 z) (neg.f64 z)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 z) z) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 z) z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) z))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (sqrt.f64 z)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))
(*.f64 (pow.f64 z (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 z (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))
(*.f64 (sqrt.f64 z) (pow.f64 (*.f64 (sqrt.f64 z) z) #s(literal -1 binary64)))
(*.f64 (/.f64 (sqrt.f64 z) z) (/.f64 (sqrt.f64 z) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 (sqrt.f64 z) z) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 z z) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal -2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal -2 binary64))
(pow.f64 (/.f64 (sqrt.f64 z) z) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(pow.f64 z #s(literal -1 binary64))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 z) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 z)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z))
(/.f64 (pow.f64 (/.f64 (sqrt.f64 z) z) #s(literal 1 binary64)) (sqrt.f64 z))
(/.f64 #s(literal -1 binary64) (neg.f64 z))
(/.f64 (/.f64 (sqrt.f64 z) z) (sqrt.f64 z))
(/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64)))
(/.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 (neg.f64 z) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 #s(literal 2 binary64) (neg.f64 z))))
(/.f64 #s(literal 2 binary64) (*.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) z))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sqrt.f64 z) z) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) z)
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) z))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 #s(literal 0 binary64) z))
(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) z))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) z))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 0 binary64) z))
(fma.f64 (/.f64 (sqrt.f64 z) z) (/.f64 (sqrt.f64 z) z) (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64)))
(fma.f64 (/.f64 (sqrt.f64 z) z) (/.f64 (sqrt.f64 z) z) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 (/.f64 (sqrt.f64 z) z) (/.f64 (sqrt.f64 z) z) (/.f64 #s(literal 0 binary64) z))
(fma.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) z))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 0 binary64) z))
(sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)))
(fabs.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 (sqrt.f64 z) z))))
(fabs.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 z) z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))))
(fabs.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 (sqrt.f64 z) z)) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 (sqrt.f64 z) z)) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 z) z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 z) z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) #s(literal 1 binary64)))
(fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 (sqrt.f64 z) z))))
(fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sqrt.f64 z) z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))))
(fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 (sqrt.f64 z) z))))
(fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))))
(fabs.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))))
(fabs.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))))
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 (sqrt.f64 z) z)))
(fabs.f64 (*.f64 (/.f64 (sqrt.f64 z) z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))))
(fabs.f64 (/.f64 #s(literal -1 binary64) z))
(fabs.f64 (/.f64 #s(literal 1 binary64) z))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 z) z)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z)))
(+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 0 binary64) z))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64)) (/.f64 (sqrt.f64 z) z))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 z) z) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) z) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 z (neg.f64 z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 z) z) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 z) (neg.f64 z)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 z) (neg.f64 z)) #s(literal -1/2 binary64)) (sqrt.f64 z))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 z) z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) z) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 z) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (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 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 z) z) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) z) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (/.f64 (sqrt.f64 z) z))
(*.f64 (pow.f64 (sqrt.f64 z) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 z) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 z (/.f64 #s(literal -1/2 binary64) #s(literal 2 binary64))) (pow.f64 z (/.f64 #s(literal -1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 z) z)) (sqrt.f64 (/.f64 (sqrt.f64 z) z)))
(*.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 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 z) z))
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(fma.f64 z y (*.f64 (*.f64 z y) #s(literal 0 binary64)))
(fma.f64 z y (*.f64 #s(literal 0 binary64) (*.f64 z y)))
(fma.f64 y z (*.f64 (*.f64 z y) #s(literal 0 binary64)))
(fma.f64 y z (*.f64 #s(literal 0 binary64) (*.f64 z y)))
(fma.f64 #s(literal 1 binary64) (*.f64 z y) (*.f64 (*.f64 z y) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 z y) (*.f64 #s(literal 0 binary64) (*.f64 z y)))
(+.f64 (*.f64 z y) (*.f64 (*.f64 z y) #s(literal 0 binary64)))
(+.f64 (*.f64 z y) (*.f64 #s(literal 0 binary64) (*.f64 z y)))
(*.f64 (/.f64 z (neg.f64 z)) (*.f64 (neg.f64 (sqrt.f64 z)) y))
(*.f64 (/.f64 y (neg.f64 z)) (/.f64 z (/.f64 #s(literal -1 binary64) (sqrt.f64 z))))
(*.f64 (*.f64 (sqrt.f64 z) z) (/.f64 y z))
(*.f64 (/.f64 y z) (*.f64 (sqrt.f64 z) z))
(*.f64 (/.f64 (*.f64 z y) (neg.f64 z)) (neg.f64 (sqrt.f64 z)))
(*.f64 (/.f64 (*.f64 z y) z) (sqrt.f64 z))
(*.f64 (/.f64 (*.f64 z y) (/.f64 (sqrt.f64 z) z)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (neg.f64 y) (sqrt.f64 z)) (neg.f64 z))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 (neg.f64 y) z))
(*.f64 (*.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(*.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z)))
(*.f64 (neg.f64 z) (/.f64 (neg.f64 y) (sqrt.f64 z)))
(*.f64 (/.f64 y (sqrt.f64 z)) z)
(*.f64 (*.f64 z y) (/.f64 (sqrt.f64 z) z))
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) y)
(*.f64 (/.f64 (sqrt.f64 z) z) (*.f64 z y))
(*.f64 z (/.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) y))
(/.f64 (*.f64 (*.f64 (neg.f64 y) z) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 z y)) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(/.f64 (*.f64 (*.f64 z y) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(/.f64 (/.f64 (*.f64 z y) (neg.f64 z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(/.f64 (/.f64 (*.f64 z y) z) (/.f64 (sqrt.f64 z) z))
(/.f64 (/.f64 (*.f64 z y) (/.f64 (sqrt.f64 z) z)) z)
(/.f64 (*.f64 (neg.f64 y) z) (neg.f64 (sqrt.f64 z)))
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(/.f64 (*.f64 z y) (sqrt.f64 z))
(/.f64 y (/.f64 (sqrt.f64 z) z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (neg.f64 y) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) (*.f64 z y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 z) z) y))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y))
(*.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 z))
(*.f64 (*.f64 (*.f64 (*.f64 z y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) z))
(*.f64 (/.f64 (*.f64 (*.f64 z y) #s(literal 1/2 binary64)) (neg.f64 z)) (neg.f64 (sqrt.f64 z)))
(*.f64 (/.f64 (*.f64 (*.f64 z y) #s(literal 1/2 binary64)) z) (sqrt.f64 z))
(*.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (/.f64 z (/.f64 #s(literal -1 binary64) (sqrt.f64 z))))
(*.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) z) (*.f64 (sqrt.f64 z) z))
(*.f64 (/.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) z)) (/.f64 y z))
(*.f64 (/.f64 (*.f64 z #s(literal 1/2 binary64)) (neg.f64 z)) (*.f64 (neg.f64 (sqrt.f64 z)) y))
(*.f64 (/.f64 (*.f64 z #s(literal 1/2 binary64)) z) (*.f64 (sqrt.f64 z) y))
(*.f64 (/.f64 (*.f64 z y) (neg.f64 z)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))))
(*.f64 (/.f64 (*.f64 z y) z) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 z)) (/.f64 (*.f64 z y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))))
(*.f64 (/.f64 (*.f64 z y) (/.f64 (sqrt.f64 z) z)) (/.f64 #s(literal 1/2 binary64) z))
(*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (/.f64 (*.f64 z y) z))
(*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y)
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 z y) (/.f64 (sqrt.f64 z) z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 z y))
(*.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 z)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 y (sqrt.f64 z)))
(*.f64 (*.f64 (*.f64 z y) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) z))
(*.f64 (*.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (neg.f64 y) z) (/.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 z))))
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 z #s(literal 1/2 binary64))))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))))
(*.f64 (neg.f64 z) (*.f64 #s(literal -1/2 binary64) (/.f64 y (sqrt.f64 z))))
(*.f64 (*.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) z)
(*.f64 (/.f64 y (sqrt.f64 z)) (*.f64 z #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 z y) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 (/.f64 (sqrt.f64 z) z) (*.f64 (*.f64 z y) #s(literal 1/2 binary64)))
(*.f64 z (*.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))
(*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))
(/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) z))
(/.f64 (*.f64 (*.f64 (*.f64 z y) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 (*.f64 (*.f64 z y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 z))
(/.f64 (/.f64 (*.f64 (*.f64 z y) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) z)) z)
(/.f64 (/.f64 (*.f64 (*.f64 z y) #s(literal 1/2 binary64)) (neg.f64 z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(/.f64 (/.f64 (*.f64 (*.f64 z y) #s(literal 1/2 binary64)) z) (/.f64 (sqrt.f64 z) z))
(/.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) z))
(/.f64 (*.f64 (*.f64 z y) #s(literal 1/2 binary64)) (sqrt.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 z) z) (*.f64 y #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) (*.f64 (*.f64 z y) #s(literal 1/2 binary64))))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y)))
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 y (neg.f64 z)) (neg.f64 (sqrt.f64 z)))
(*.f64 (/.f64 y z) (sqrt.f64 z))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(*.f64 (*.f64 (sqrt.f64 z) y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (sqrt.f64 z) z) y)
(*.f64 y (/.f64 (sqrt.f64 z) z))
(*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 z)))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 #s(literal -1 binary64) y) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 y #s(literal -1 binary64)) (neg.f64 (sqrt.f64 z)))
(/.f64 (/.f64 y (neg.f64 z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(/.f64 (/.f64 y z) (/.f64 (sqrt.f64 z) z))
(/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 (sqrt.f64 z) y) z)
(/.f64 y (sqrt.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) y))
(neg.f64 (/.f64 (neg.f64 y) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y)
(*.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) z))
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (sqrt.f64 z) z) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 z)))
(/.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (sqrt.f64 z))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))
(*.f64 #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) z)
(*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) z))

eval200.0ms (6.4%)

Memory
19.1MiB live, 436.1MiB allocated; 49ms collecting garbage
Compiler

Compiled 34 937 to 5 181 computations (85.2% saved)

prune37.0ms (1.2%)

Memory
-12.7MiB live, 99.0MiB allocated; 24ms collecting garbage
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1 15941 163
Fresh213
Picked505
Done-242
Total1 16491 173
Accuracy
100.0%
Counts
1 173 → 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))
47.0%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (/.f64 z (sqrt.f64 z)))) #s(literal 1/2 binary64))
47.1%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
47.1%
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (/ y (sqrt (/ 1 z)))) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
43.6%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 z y)))
42.2%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 z x) (/.f64 #s(literal 1/2 binary64) z)))
43.9%
#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))))
44.0%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 y (sqrt.f64 z)))))
54.9%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 289 to 231 computations (20.1% saved)

sample0.0ms (0.0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1/2
1
Outputs
#s(literal 1/2 binary64)
#s(literal 1 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)

series55.0ms (1.7%)

Memory
-22.8MiB live, 166.4MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02751539
Stop Event
iter-limit
Counts
28 → 81
Calls
Call 1
Inputs
x
y
z
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) z)
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ x (/ y (sqrt (/ 1 z)))) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (/ y (sqrt (/ 1 z)))) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (/ y (sqrt (/ 1 z)))) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 z x)
(/.f64 #s(literal 1/2 binary64) z)
(*.f64 (*.f64 z x) (/.f64 #s(literal 1/2 binary64) z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 z x) (/.f64 #s(literal 1/2 binary64) z)))
(sqrt.f64 z)
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 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 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 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 y)
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 z y))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 z y)))
(/.f64 z (sqrt.f64 z))
(*.f64 y (/.f64 z (sqrt.f64 z)))
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (/.f64 z (sqrt.f64 z))))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (/.f64 z (sqrt.f64 z)))) #s(literal 1/2 binary64))
Outputs
#s(approx x x)
#s(approx (+ x (/ y (sqrt (/ 1 z)))) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (+ x (/ y (sqrt (/ 1 z)))) (+.f64 x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* 1/2 (+ x (/ y (sqrt (/ 1 z))))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* 1/2 (+ x (/ y (sqrt (/ 1 z))))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z))))
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z)))))
#s(approx (* z x) (*.f64 x z))
#s(approx (* (* z x) (/ 1/2 z)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.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))) (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 (* 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 (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z)))
#s(approx (+ (* (sqrt z) y) x) (+.f64 x (*.f64 y (sqrt.f64 z))))
#s(approx (+ x (/ y (sqrt (/ 1 z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
#s(approx (* 1/2 (+ x (/ y (sqrt (/ 1 z))))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))))
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z)))))))
#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 (+ (* 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 (* 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 (+ (* (sqrt z) y) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))))
#s(approx (+ x (/ y (sqrt (/ 1 z)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) #s(literal 1 binary64)))))
#s(approx (* 1/2 (+ x (/ y (sqrt (/ 1 z))))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z)))) #s(literal 1/2 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 (+ (* 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 (* 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 (+ (* (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 (* z y) (*.f64 y z))
#s(approx (* y (/ z (sqrt z))) (/.f64 (*.f64 y z) (sqrt.f64 z)))
#s(approx (+ x (/ y (sqrt (/ 1 z)))) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x y))))
#s(approx (* 1/2 (+ x (/ y (sqrt (/ 1 z))))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 z))))))
#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 (+ (* 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 (* 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 (+ (* (sqrt z) y) x) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))
#s(approx (+ x (/ y (sqrt (/ 1 z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
#s(approx (* 1/2 (+ x (/ y (sqrt (/ 1 z))))) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))))
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (*.f64 #s(literal -1/2 binary64) (/.f64 z (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 (+ (* 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 (* 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 (+ (* (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 z)
#s(approx (/ 1 z) (/.f64 #s(literal 1 binary64) z))
#s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z))
#s(approx (+ x (/ y (sqrt (/ 1 z)))) (+.f64 x (/.f64 (*.f64 y z) (sqrt.f64 z))))
#s(approx (/ 1/2 z) (/.f64 #s(literal 1/2 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 (sqrt z) (sqrt.f64 z))
#s(approx (/ 1/2 (sqrt z)) (/.f64 #s(literal 1/2 binary64) (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 (/ z (sqrt z)) (/.f64 z (sqrt.f64 z)))
#s(approx (sqrt (/ 1 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
#s(approx (* 1/2 (+ x (/ y (sqrt (/ 1 z))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))))
#s(approx (sqrt z) (*.f64 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 (* (/ 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 (/ z (sqrt z)) (/.f64 #s(literal 1 binary64) (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 (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))))
#s(approx (sqrt z) (*.f64 #s(literal -1 binary64) (*.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 (* (/ 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 (* 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)) (* z y)) (*.f64 #s(literal -1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (/ z (sqrt z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (* y (/ z (sqrt z))) (*.f64 #s(literal -1 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)))))))
Calls

9 calls:

TimeVariablePoint
11.0ms
y
-inf
5.0ms
x
-inf
5.0ms
z
inf
4.0ms
z
-inf
4.0ms
z
0

rewrite183.0ms (5.8%)

Memory
5.1MiB live, 382.7MiB allocated; 42ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050263
068257
1265251
2900251
33044212
04341200
Stop Event
iter-limit
node-limit
iter-limit
Counts
28 → 700
Calls
Call 1
Inputs
x
y
z
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) z)
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ x (/ y (sqrt (/ 1 z)))) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (/ y (sqrt (/ 1 z)))) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (/ y (sqrt (/ 1 z)))) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 z x)
(/.f64 #s(literal 1/2 binary64) z)
(*.f64 (*.f64 z x) (/.f64 #s(literal 1/2 binary64) z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 z x) (/.f64 #s(literal 1/2 binary64) z)))
(sqrt.f64 z)
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 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 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 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 y)
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 z y))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 z y)))
(/.f64 z (sqrt.f64 z))
(*.f64 y (/.f64 z (sqrt.f64 z)))
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (/.f64 z (sqrt.f64 z))))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (/.f64 z (sqrt.f64 z)))) #s(literal 1/2 binary64))
Outputs
x
y
z
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z)) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 z) z) #s(literal -1 binary64)) (sqrt.f64 z))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 z) (neg.f64 z)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 z) z)) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 z) z)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z)) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 z) z) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 z) z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) z))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (sqrt.f64 z)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))
(*.f64 (pow.f64 z (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 z (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 (sqrt.f64 z) z) (/.f64 (sqrt.f64 z) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z)) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 (sqrt.f64 z) z) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) (pow.f64 (*.f64 (sqrt.f64 z) z) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 z z) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal -2 binary64))
(pow.f64 (/.f64 (sqrt.f64 z) z) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 z) #s(literal -2 binary64))
(pow.f64 z #s(literal -1 binary64))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 z) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 z)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal 1 binary64) z))
(/.f64 (pow.f64 (/.f64 (sqrt.f64 z) z) #s(literal 1 binary64)) (sqrt.f64 z))
(/.f64 #s(literal -1 binary64) (*.f64 z #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)))
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z))))
(/.f64 #s(literal -1 binary64) (neg.f64 z))
(/.f64 (/.f64 (sqrt.f64 z) z) (sqrt.f64 z))
(/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64)))
(/.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 (neg.f64 z) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 #s(literal 2 binary64) (neg.f64 z))))
(/.f64 #s(literal 2 binary64) (*.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) z))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sqrt.f64 z) z) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) z)
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) z))
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(fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 z) z)) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 z) z)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z)))
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(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) y))
(/.f64 (*.f64 (*.f64 z y) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 (*.f64 z y) #s(literal 1 binary64)) (sqrt.f64 z))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(/.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 z y)) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 z y)) (sqrt.f64 z))
(/.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 z) z)))
(/.f64 (*.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(/.f64 (/.f64 (*.f64 (neg.f64 y) z) z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(/.f64 (/.f64 (*.f64 z y) z) (/.f64 (sqrt.f64 z) z))
(/.f64 (/.f64 (*.f64 z y) (/.f64 (sqrt.f64 z) z)) z)
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (neg.f64 z))) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 (neg.f64 y) (neg.f64 z)) (sqrt.f64 z))
(/.f64 (*.f64 (neg.f64 y) z) (neg.f64 (sqrt.f64 z)))
(/.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 z) z)))
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(/.f64 (*.f64 z y) (sqrt.f64 z))
(/.f64 y (/.f64 (sqrt.f64 z) z))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (neg.f64 y) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) (*.f64 z y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 z) z) y))
(neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))))
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))))
(neg.f64 (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal -1/2 binary64)))

eval126.0ms (4.0%)

Memory
34.5MiB live, 319.7MiB allocated; 38ms collecting garbage
Compiler

Compiled 26 678 to 3 915 computations (85.3% saved)

prune26.0ms (0.8%)

Memory
-7.0MiB live, 184.5MiB allocated; 13ms collecting garbage
Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New8590859
Fresh000
Picked505
Done-594
Total8599868
Accuracy
100.0%
Counts
868 → 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))
47.0%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (/.f64 z (sqrt.f64 z)))) #s(literal 1/2 binary64))
47.1%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
47.1%
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (/ y (sqrt (/ 1 z)))) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
43.6%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 z y)))
42.2%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 z x) (/.f64 #s(literal 1/2 binary64) z)))
43.9%
#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))))
44.0%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 y (sqrt.f64 z)))))
54.9%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 171 to 139 computations (18.7% saved)

regimes96.0ms (3.1%)

Memory
22.6MiB live, 350.0MiB allocated; 26ms collecting garbage
Counts
1 → 1
4 → 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))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 z x) (/.f64 #s(literal 1/2 binary64) 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)))) (*.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))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 z x) (/.f64 #s(literal 1/2 binary64) z)))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.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 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 y z) (/.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 z y)))
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z))))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (/.f64 z (sqrt.f64 z)))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (/ y (sqrt (/ 1 z)))) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 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 (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (*.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 #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 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 z) y) x)))))
Outputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
Calls

21 calls:

13.0ms
(+.f64 x (*.f64 y (sqrt.f64 z)))
10.0ms
x
8.0ms
(sqrt.f64 z)
7.0ms
x
6.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
Results
AccuracySegmentsBranch
54.9%1(+.f64 x (*.f64 y (sqrt.f64 z)))
54.9%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
54.9%1(sqrt.f64 z)
54.9%1z
54.9%1x
54.9%1y
54.9%1(*.f64 y (sqrt.f64 z))
62.2%2(sqrt.f64 z)
78.4%3(*.f64 y (sqrt.f64 z))
62.9%3(+.f64 x (*.f64 y (sqrt.f64 z)))
62.9%3(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
73.8%3x
77.4%3y
62.2%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 508 to 223 computations (56.1% saved)

bsearch1.0ms (0.0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.560623913074079e+40
7.708053395474306e+44
0.0ms
-8.608127919407089e+44
-1.327256717138641e+36
Compiler

Compiled 16 to 18 computations (-12.5% saved)

derivations23.0ms (0.7%)

Memory
-31.3MiB live, 14.5MiB allocated; 5ms collecting garbage
Stop Event
done
Compiler

Compiled 83 to 25 computations (69.9% saved)

preprocess23.0ms (0.7%)

Memory
20.1MiB live, 65.6MiB allocated; 6ms 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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