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

Time bar (total: 2.4s)

start0.0ms (0.0%)

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

analyze72.0ms (3.0%)

Memory
13.7MiB live, 77.2MiB allocated; 62ms 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)

sample885.0ms (36.6%)

Memory
-1.9MiB live, 1 458.7MiB allocated; 268ms collecting garbage
Samples
445.0ms8 255×0valid
154.0ms2 202×0invalid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 230.0ms
ival-mult!: 103.0ms (44.8% of total)
ival-sqrt: 94.0ms (40.9% of total)
ival-add!: 32.0ms (13.9% of total)
adjust: 2.0ms (0.9% of total)
Bogosity

preprocess34.0ms (1.4%)

Memory
-2.6MiB live, 47.4MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

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

Compiled 20 to 20 computations (0.0% saved)

sample0.0ms (0.0%)

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

Compiled 7 to 5 computations (28.6% saved)

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

series16.0ms (0.6%)

Memory
36.1MiB live, 36.1MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

9 calls:

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

rewrite147.0ms (6.1%)

Memory
-32.7MiB live, 203.5MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval12.0ms (0.5%)

Memory
28.6MiB live, 28.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 027 to 448 computations (77.9% saved)

prune12.0ms (0.5%)

Memory
-22.2MiB live, 22.3MiB allocated; 7ms collecting garbage
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New10711118
Fresh000
Picked101
Done000
Total10811119
Accuracy
100.0%
Counts
119 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
33.7%
(*.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)))))
99.7%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))))))
99.5%
(*.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))))))
99.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
83.5%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))))
89.2%
#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)))))
52.1%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
52.2%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
49.1%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 384 to 306 computations (20.3% saved)

sample0.0ms (0.0%)

Memory
0.5MiB live, 0.5MiB 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)

series41.0ms (1.7%)

Memory
34.8MiB live, 79.5MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01921160
Stop Event
iter-limit
Counts
26 → 61
Calls
Call 1
Inputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 z) y x)
(sqrt.f64 z)
z
y
x
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(*.f64 y (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)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))
(/.f64 (*.f64 y (sqrt.f64 z)) x)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 x z))
(/.f64 x z)
Outputs
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z)))
#s(approx (+ (* (sqrt z) y) x) (+.f64 x (*.f64 y (sqrt.f64 z))))
#s(approx x x)
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ 1/2 (* 1/2 (/ (* y (sqrt z)) x))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)))
#s(approx (+ 1/2 (* 1/2 (/ (* y (sqrt z)) x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) x))
#s(approx (/ (* y (sqrt z)) x) (/.f64 (*.f64 y (sqrt.f64 z)) x))
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))
#s(approx (* 1/2 (/ x z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))
#s(approx (/ x z) (/.f64 x z))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))))
#s(approx (+ 1/2 (* 1/2 (/ (* y (sqrt z)) x))) #s(literal 1/2 binary64))
#s(approx (+ 1/2 (* 1/2 (/ (* y (sqrt z)) x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))))
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x)))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1/2 binary64)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1 binary64)))))
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x)) #s(literal 1/2 binary64)))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z))))))
#s(approx y y)
#s(approx (* y (sqrt (/ 1 z))) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))
#s(approx (+ 1/2 (* 1/2 (/ (* y (sqrt z)) x))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y z))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 z) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))
#s(approx (+ 1/2 (* 1/2 (/ (* y (sqrt z)) x))) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 z) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))))
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 y z)))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))))
#s(approx (sqrt z) (sqrt.f64 z))
#s(approx z z)
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) z))
#s(approx (* y (sqrt (/ 1 z))) (/.f64 (*.f64 y (sqrt.f64 z)) z))
#s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z))
#s(approx (/ 1 z) (/.f64 #s(literal 1 binary64) z))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 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) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (+ 1/2 (* 1/2 (/ (* y (sqrt z)) x))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x)))
#s(approx (+ 1/2 (* 1/2 (/ (* y (sqrt z)) x))) (*.f64 z (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 (/ (* y (sqrt z)) x) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x))
#s(approx (sqrt (/ 1 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
#s(approx (sqrt z) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (+ 1/2 (* 1/2 (/ (* y (sqrt z)) x))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x)))
#s(approx (+ 1/2 (* 1/2 (/ (* y (sqrt z)) x))) (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z))))))
#s(approx (/ (* y (sqrt z)) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x)))
#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
5.0ms
y
-inf
5.0ms
y
inf
4.0ms
x
0
3.0ms
x
-inf
3.0ms
z
-inf

rewrite227.0ms (9.4%)

Memory
-44.5MiB live, 246.2MiB allocated; 116ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032182
051169
1200167
2742167
32645159
04580156
Stop Event
iter-limit
node-limit
iter-limit
Counts
26 → 1 154
Calls
Call 1
Inputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 z) y x)
(sqrt.f64 z)
z
y
x
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(*.f64 y (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)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))
(/.f64 (*.f64 y (sqrt.f64 z)) x)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 x z))
(/.f64 x z)
Outputs
(*.f64 (*.f64 x (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64))) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 x (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z)))) (*.f64 x #s(literal 2 binary64))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) (*.f64 x #s(literal 2 binary64))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))) (*.f64 x #s(literal 2 binary64))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64)) (*.f64 x #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))))) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
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(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 z) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 z))))
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 z)))
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) z))
(/.f64 (*.f64 (neg.f64 x) #s(literal -2 binary64)) (*.f64 (neg.f64 z) #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 x) #s(literal 4 binary64)) (*.f64 (neg.f64 z) #s(literal 4 binary64)))
(/.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 z #s(literal -2 binary64)))
(/.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 z #s(literal 4 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 x)) (*.f64 #s(literal -2 binary64) (neg.f64 z)))
(/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 x)) (*.f64 #s(literal 2 binary64) z))
(/.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) z))
(/.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) (neg.f64 z)))
(/.f64 (*.f64 #s(literal 4 binary64) (neg.f64 x)) (*.f64 #s(literal 4 binary64) (neg.f64 z)))
(/.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 4 binary64) z))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 z)))
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) z)
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 z) #s(literal 2 binary64)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 #s(literal -2 binary64) z))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 #s(literal 2 binary64) (neg.f64 z)))
(/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -2 binary64) (neg.f64 z)))
(/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) z))
(/.f64 (neg.f64 x) (neg.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 z x))
(/.f64 x (*.f64 #s(literal 1 binary64) z))
(/.f64 x (*.f64 z #s(literal 1 binary64)))
(/.f64 x z)
(neg.f64 (/.f64 (neg.f64 x) z))

eval166.0ms (6.9%)

Memory
-9.6MiB live, 309.1MiB allocated; 45ms collecting garbage
Compiler

Compiled 28 844 to 4 945 computations (82.9% saved)

prune30.0ms (1.2%)

Memory
19.6MiB live, 72.4MiB allocated; 10ms collecting garbage
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New1 10791 116
Fresh606
Picked235
Done000
Total1 115121 127
Accuracy
100.0%
Counts
1 127 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.8%
(*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) (*.f64 y x) x) #s(literal 1/2 binary64))
83.3%
(*.f64 (fma.f64 (*.f64 x (sqrt.f64 z)) (/.f64 y x) x) #s(literal 1/2 binary64))
99.8%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
52.2%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
99.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
38.0%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) z) z))
37.9%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 z x) (/.f64 #s(literal 1/2 binary64) z)))
48.1%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
86.9%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x (fma.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))))
49.0%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) z) z)))
92.6%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)))
49.1%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 367 to 300 computations (18.3% saved)

sample0.0ms (0.0%)

Memory
0.6MiB live, 0.6MiB 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)

series39.0ms (1.6%)

Memory
-3.7MiB live, 86.7MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02061105
Stop Event
iter-limit
Counts
28 → 61
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))
#s(literal 1/2 binary64)
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
(*.f64 z y)
z
y
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
x
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(sqrt.f64 z)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 z x) (/.f64 #s(literal 1/2 binary64) z)))
(*.f64 (*.f64 z x) (/.f64 #s(literal 1/2 binary64) z))
(*.f64 z x)
(/.f64 #s(literal 1/2 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)))))))
(*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (fma.f64 (*.f64 x (sqrt.f64 z)) (/.f64 y x) x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x (sqrt.f64 z)) (/.f64 y x) x)
(*.f64 x (sqrt.f64 z))
(/.f64 y x)
Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))))
#s(approx (* 1/2 (+ (* (* z y) (sqrt (/ 1 z))) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* 1/2 (+ (* (* z y) (sqrt (/ 1 z))) x)) (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 (+ (* (* z y) (sqrt (/ 1 z))) x) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) (+.f64 x (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#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 (* (* z x) (/ 1/2 z)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* z x) (*.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 (* x (sqrt z)) (*.f64 x (sqrt.f64 z)))
#s(approx (/ y x) (/.f64 y 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 (* 1/2 (+ (* (* z y) (sqrt (/ 1 z))) x)) (*.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 (+ (* (* z y) (sqrt (/ 1 z))) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* (/ 1 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 (+ (* (* z y) (sqrt (/ 1 z))) x)) (*.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 (+ (* (* z y) (sqrt (/ 1 z))) x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x)) #s(literal 1 binary64)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1 binary64)))))
#s(approx (+ (* 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 y) (*.f64 y z))
#s(approx y y)
#s(approx (* y (sqrt (/ 1 z))) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (+ (* (* z y) (sqrt (/ 1 z))) x)) (*.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 y) (sqrt (/ 1 z))) x) (*.f64 y (fma.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x y))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y z))))))
#s(approx (* (/ 1 2) (+ x (* y (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 (+ (* (* z y) (sqrt (/ 1 z))) x)) (*.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 y) (sqrt (/ 1 z))) x) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 z) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 y z)))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))))
#s(approx z z)
#s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z))
#s(approx (/ 1 z) (/.f64 #s(literal 1 binary64) z))
#s(approx (sqrt z) (sqrt.f64 z))
#s(approx (/ 1/2 z) (/.f64 #s(literal 1/2 binary64) z))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) z))
#s(approx (* 1/2 (* y (sqrt (/ 1 z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) z)))
#s(approx (* y (sqrt (/ 1 z))) (/.f64 (*.f64 y (sqrt.f64 z)) z))
#s(approx (* (/ 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 (+ (* (* z y) (sqrt (/ 1 z))) x) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))
#s(approx (sqrt (/ 1 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
#s(approx (sqrt z) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (* x (sqrt z)) (*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))))
#s(approx (* 1/2 (+ (* (* z y) (sqrt (/ 1 z))) x)) (*.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 (+ (* (* z y) (sqrt (/ 1 z))) x) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1 binary64) (/.f64 x z))))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
#s(approx (sqrt z) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* x (sqrt z)) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
Calls

9 calls:

TimeVariablePoint
7.0ms
z
-inf
5.0ms
x
0
3.0ms
y
-inf
3.0ms
z
0
3.0ms
x
-inf

rewrite135.0ms (5.6%)

Memory
-32.8MiB live, 214.5MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043237
064231
1232231
2774231
32753217
04728207
Stop Event
iter-limit
node-limit
iter-limit
Counts
28 → 643
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))
#s(literal 1/2 binary64)
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
(*.f64 z y)
z
y
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
x
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(sqrt.f64 z)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 z x) (/.f64 #s(literal 1/2 binary64) z)))
(*.f64 (*.f64 z x) (/.f64 #s(literal 1/2 binary64) z))
(*.f64 z x)
(/.f64 #s(literal 1/2 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)))))))
(*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (fma.f64 (*.f64 x (sqrt.f64 z)) (/.f64 y x) x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x (sqrt.f64 z)) (/.f64 y x) x)
(*.f64 x (sqrt.f64 z))
(/.f64 y x)
Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z y) x) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
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(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y)) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 y #s(literal 2 binary64))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64))) x)
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) y)) x)
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) y) (neg.f64 x))
(/.f64 (*.f64 y #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 y x)
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(neg.f64 (/.f64 (neg.f64 y) x))

eval122.0ms (5.0%)

Memory
20.4MiB live, 255.4MiB allocated; 41ms collecting garbage
Compiler

Compiled 25 494 to 3 954 computations (84.5% saved)

prune35.0ms (1.4%)

Memory
-7.9MiB live, 38.1MiB allocated; 3ms collecting garbage
Pruning

12 alts after pruning (6 fresh and 6 done)

PrunedKeptTotal
New9214925
Fresh224
Picked235
Done033
Total92512937
Accuracy
100.0%
Counts
937 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
41.9%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) (neg.f64 x))) #s(literal 1/2 binary64))
39.9%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y x) (*.f64 (sqrt.f64 z) x))) #s(literal 1/2 binary64))
51.9%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))))) #s(literal 1/2 binary64))
52.2%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
99.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
38.0%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) z) z))
37.9%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 z x) (/.f64 #s(literal 1/2 binary64) z)))
48.1%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
86.9%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x (fma.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))))
49.0%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) z) z)))
49.1%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 320 to 257 computations (19.7% saved)

sample0.0ms (0.0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1/2
Outputs
#s(literal 1/2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 3 to 3 computations (0.0% saved)

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

series37.0ms (1.5%)

Memory
13.4MiB live, 58.9MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0176804
Stop Event
iter-limit
Counts
30 → 52
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x (fma.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))))
(*.f64 x (fma.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))
x
(fma.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))
(sqrt.f64 z)
z
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
y
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) z) z)))
(*.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) z) z))
(*.f64 (/.f64 #s(literal 1/2 binary64) z) z)
(/.f64 #s(literal 1/2 binary64) z)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) z) z))
(/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) z) z)
(*.f64 (*.f64 x #s(literal 1/2 binary64)) z)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y x) (*.f64 (sqrt.f64 z) x))) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y x) (*.f64 (sqrt.f64 z) x)))
(*.f64 (/.f64 y x) (*.f64 (sqrt.f64 z) x))
(/.f64 y x)
(*.f64 (sqrt.f64 z) x)
(*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) (neg.f64 x))) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) (neg.f64 x)))
(/.f64 (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
(neg.f64 x)
Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))))
#s(approx x x)
#s(approx (+ (* (sqrt z) (* y (/ 1/2 x))) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)))
#s(approx (+ (* (sqrt z) (* y (/ 1/2 x))) 1/2) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) x))
#s(approx (* y (/ 1/2 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
#s(approx (/ 1/2 x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (* x (* (/ 1/2 z) z)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (* x 1/2) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x z)))
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z)))
#s(approx (+ (* (sqrt z) y) x) (+.f64 x (*.f64 y (sqrt.f64 z))))
#s(approx (/ y x) (/.f64 y x))
#s(approx (* (sqrt z) x) (*.f64 x (sqrt.f64 z)))
#s(approx (* (* (neg y) x) (sqrt z)) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (sqrt.f64 z)))))
#s(approx (* (neg y) x) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
#s(approx (neg x) (*.f64 #s(literal -1 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 (+ (* (sqrt z) (* y (/ 1/2 x))) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) (* y (/ 1/2 x))) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))))
#s(approx (* (/ 1 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 (+ (* (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 (neg y) (*.f64 #s(literal -1 binary64) 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 (+ (* (sqrt z) (* y (/ 1/2 x))) 1/2) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
#s(approx (+ (* (sqrt z) (* y (/ 1/2 x))) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 z) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 z) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))))
#s(approx (sqrt z) (sqrt.f64 z))
#s(approx z z)
#s(approx (/ 1/2 z) (/.f64 #s(literal 1/2 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 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))))
#s(approx (+ (* (sqrt z) (* y (/ 1/2 x))) 1/2) (*.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 (/ 1/2 x))) 1/2) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))))
#s(approx (sqrt z) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))
#s(approx (* (sqrt z) x) (*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* (* (neg y) x) (sqrt z)) (*.f64 #s(literal -1 binary64) (*.f64 x (*.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))))))
#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) (* y (/ 1/2 x))) 1/2) (*.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 (/ 1/2 x))) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z))))))
#s(approx (sqrt z) (*.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) x) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* (* (neg y) x) (sqrt z)) (*.f64 x (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
Calls

9 calls:

TimeVariablePoint
7.0ms
y
0
4.0ms
z
inf
3.0ms
x
-inf
3.0ms
x
inf
3.0ms
x
0

rewrite126.0ms (5.2%)

Memory
-14.0MiB live, 173.4MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039224
062218
1206198
2658198
32861168
04186159
Stop Event
iter-limit
node-limit
iter-limit
Counts
30 → 1 035
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x (fma.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))))
(*.f64 x (fma.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))
x
(fma.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))
(sqrt.f64 z)
z
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
y
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) z) z)))
(*.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) z) z))
(*.f64 (/.f64 #s(literal 1/2 binary64) z) z)
(/.f64 #s(literal 1/2 binary64) z)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) z) z))
(/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) z) z)
(*.f64 (*.f64 x #s(literal 1/2 binary64)) z)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y x) (*.f64 (sqrt.f64 z) x))) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y x) (*.f64 (sqrt.f64 z) x)))
(*.f64 (/.f64 y x) (*.f64 (sqrt.f64 z) x))
(/.f64 y x)
(*.f64 (sqrt.f64 z) x)
(*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) (neg.f64 x))) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) (neg.f64 x)))
(/.f64 (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
(neg.f64 x)
Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) (/.f64 #s(literal 1/2 binary64) z)) z)
(*.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) z) (/.f64 #s(literal 1/2 binary64) z))
(*.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) (*.f64 z #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y))) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y))) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 (sqrt.f64 z) y x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 z (fma.f64 (sqrt.f64 z) y x)))
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 z) #s(literal 1/2 binary64)) x)
(*.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(*.f64 z (*.f64 (/.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 z) y x)))
(*.f64 x (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 z) y x)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 z #s(literal 1/2 binary64))) (*.f64 (*.f64 z x) #s(literal -1/2 binary64))) z)
(/.f64 (-.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 z) y)) (*.f64 (*.f64 z x) #s(literal -1/2 binary64))) z)
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) z)) (neg.f64 z))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 (sqrt.f64 z) y)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) z)) (neg.f64 z))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) z) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) z))) (neg.f64 z))
(/.f64 (-.f64 (*.f64 (*.f64 z x) #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) z))) (neg.f64 z))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) z) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 z #s(literal 1/2 binary64)))) z)
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(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z))) x)
(/.f64 (*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) y)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) y)) (neg.f64 x))
(/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) x) y) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (*.f64 (sqrt.f64 z) x) y) x)
(/.f64 (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 (sqrt.f64 z) x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z))))
(neg.f64 (*.f64 (/.f64 (neg.f64 y) x) (*.f64 (sqrt.f64 z) x)))
(neg.f64 (*.f64 (neg.f64 x) (*.f64 (/.f64 (sqrt.f64 z) x) y)))
(neg.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) (neg.f64 x)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (sqrt.f64 z) x) y)))
(neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)))
(*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) z) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 (neg.f64 x) (sqrt.f64 z)) y)
(*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 y x))
(*.f64 (*.f64 y x) (neg.f64 (sqrt.f64 z)))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) x)
(*.f64 (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) #s(literal 1 binary64))
(*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z))
(*.f64 (neg.f64 y) (*.f64 (*.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) x))
(*.f64 (*.f64 (sqrt.f64 z) x) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) x) (neg.f64 y))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (neg.f64 y) x))
(*.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 x))
(*.f64 y (*.f64 (neg.f64 x) (sqrt.f64 z)))
(*.f64 x (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1 binary64)))
(*.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) (neg.f64 z))) z)
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) z)) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) (neg.f64 z)) (neg.f64 z))
(/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) z) z)
(/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) x) y) #s(literal 1 binary64)))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 z) x) y))
(fma.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) z) (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) z) (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z))))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 z)) y (*.f64 (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 z)) y (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z))))
(fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 y x) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 y x) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z))))
(fma.f64 (*.f64 y x) (neg.f64 (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) #s(literal 0 binary64)))
(fma.f64 (*.f64 y x) (neg.f64 (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z))))
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) x (*.f64 (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) x (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z))))
(fma.f64 (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z))))
(fma.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z))))
(fma.f64 (neg.f64 y) (*.f64 (*.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 y) (*.f64 (*.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z))))
(fma.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) x) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) x) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z))))
(fma.f64 (*.f64 (sqrt.f64 z) x) (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (sqrt.f64 z) x) (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z))))
(fma.f64 (*.f64 (sqrt.f64 z) x) (neg.f64 y) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (sqrt.f64 z) x) (neg.f64 y) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z))))
(fma.f64 (sqrt.f64 z) (*.f64 (*.f64 (neg.f64 y) x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 z) (*.f64 (*.f64 (neg.f64 y) x) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z))))
(fma.f64 (sqrt.f64 z) (*.f64 (neg.f64 y) x) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 z) (*.f64 (neg.f64 y) x) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z))))
(fma.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 x) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 x) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z))))
(fma.f64 y (*.f64 (neg.f64 x) (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) #s(literal 0 binary64)))
(fma.f64 y (*.f64 (neg.f64 x) (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z))))
(fma.f64 x (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) #s(literal 0 binary64)))
(fma.f64 x (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z))))
(fma.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) #s(literal 0 binary64)))
(fma.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z))))
(+.f64 (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) #s(literal 0 binary64)))
(+.f64 (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z))))
(*.f64 (neg.f64 x) y)
(*.f64 (neg.f64 y) x)
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(neg.f64 (*.f64 y x))
(*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 y) (/.f64 x x))
(*.f64 y (/.f64 (neg.f64 x) x))
(*.f64 x (/.f64 (neg.f64 y) x))
(/.f64 (*.f64 y x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 y x) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 y) x) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 y) x)))
(neg.f64 y)
(neg.f64 x)

eval109.0ms (4.5%)

Memory
-9.3MiB live, 191.0MiB allocated; 37ms collecting garbage
Compiler

Compiled 20 901 to 3 237 computations (84.5% saved)

prune24.0ms (1.0%)

Memory
2.5MiB live, 48.4MiB allocated; 5ms collecting garbage
Pruning

13 alts after pruning (2 fresh and 11 done)

PrunedKeptTotal
New8492851
Fresh101
Picked055
Done066
Total85013863
Accuracy
100.0%
Counts
863 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
41.9%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) (neg.f64 x))) #s(literal 1/2 binary64))
39.9%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y x) (*.f64 (sqrt.f64 z) x))) #s(literal 1/2 binary64))
39.9%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (*.f64 y x) (/.f64 (sqrt.f64 z) x))) #s(literal 1/2 binary64))
52.2%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
99.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
38.0%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) z) z))
37.1%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) x) z))
37.9%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 z x) (/.f64 #s(literal 1/2 binary64) z)))
48.1%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
86.9%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x (fma.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))))
49.0%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) z) z)))
49.1%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 225 to 184 computations (18.2% saved)

regimes105.0ms (4.4%)

Memory
29.9MiB live, 177.1MiB allocated; 11ms collecting garbage
Counts
1 → 1
8 → 3
27 → 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 x (*.f64 (/.f64 #s(literal 1/2 binary64) z) z)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 z x) (/.f64 #s(literal 1/2 binary64) z)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) x) z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) z) z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) z) z))
Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.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 x (*.f64 (/.f64 #s(literal 1/2 binary64) z) z)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 z x) (/.f64 #s(literal 1/2 binary64) z)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) x) z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) z) z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) z) z))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (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)))))))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (*.f64 y x) (/.f64 (sqrt.f64 z) x))) #s(literal 1/2 binary64))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y x) (*.f64 (sqrt.f64 z) x))) #s(literal 1/2 binary64))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 z)) (neg.f64 x))) #s(literal 1/2 binary64))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x (fma.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 (*.f64 x (sqrt.f64 z)) (/.f64 y x) x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) (*.f64 y x) x) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)))))
(*.f64 (/.f64 #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
x
12.0ms
(*.f64 y (sqrt.f64 z))
8.0ms
z
8.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
7.0ms
y
Results
AccuracySegmentsBranch
49.1%1(+.f64 x (*.f64 y (sqrt.f64 z)))
49.1%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
49.1%1(sqrt.f64 z)
49.1%1z
49.1%1x
49.1%1y
49.1%1(*.f64 y (sqrt.f64 z))
63.3%2(sqrt.f64 z)
80.3%3(*.f64 y (sqrt.f64 z))
66.0%5(+.f64 x (*.f64 y (sqrt.f64 z)))
66.0%5(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
75.4%3x
79.3%3y
63.3%2z
99.8%1(sqrt.f64 z)
99.8%1(*.f64 y (sqrt.f64 z))
99.8%1(+.f64 x (*.f64 y (sqrt.f64 z)))
99.8%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
99.8%1x
99.8%1y
99.8%1z
Compiler

Compiled 553 to 237 computations (57.1% saved)

bsearch1.0ms (0.0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.9496414758925614e-22
3.407522906987151e-21
0.0ms
-2.302975312312129e+31
-1.0946177528819588e+24
Compiler

Compiled 16 to 18 computations (-12.5% saved)

derivations20.0ms (0.8%)

Memory
-36.3MiB live, 10.7MiB allocated; 1ms collecting garbage
Stop Event
fuel
Compiler

Compiled 83 to 25 computations (69.9% saved)

preprocess19.0ms (0.8%)

Memory
36.9MiB live, 36.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 93 to 35 computations (62.4% saved)

end0.0ms (0.0%)

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

Profiling

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