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

Time bar (total: 2.1s)

start0.0ms (0%)

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

analyze51.0ms (2.5%)

Memory
-7.8MiB live, 128.0MiB allocated; 18ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
50%49.9%49.9%0.1%0%0%0%6
66.7%49.9%25%0.1%0%25%0%7
66.7%49.9%25%0.1%0%25%0%8
66.7%49.9%25%0.1%0%25%0%9
80%49.9%12.5%0.1%0%37.4%0%10
80%49.9%12.5%0.1%0%37.4%0%11
80%49.9%12.5%0.1%0%37.4%0%12
Compiler

Compiled 12 to 12 computations (0% saved)

sample897.0ms (43.7%)

Memory
27.8MiB live, 1 776.8MiB allocated; 299ms collecting garbage
Samples
495.0ms8 256×0valid
131.0ms2 049×0invalid
Precisions
Click to see histograms. Total time spent on operations: 251.0ms
ival-mult!: 126.0ms (50.1% of total)
ival-sqrt: 94.0ms (37.4% of total)
ival-add!: 30.0ms (11.9% of total)
adjust: 2.0ms (0.8% of total)
Bogosity

preprocess46.0ms (2.2%)

Memory
-7.2MiB live, 39.0MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03783
116281
269981
3562480
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))))
Symmetry

(abs z)

Compiler

Compiled 20 to 20 computations (0% saved)

series12.0ms (0.6%)

Memory
28.0MiB live, 28.0MiB 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
1.0ms
y
-inf
1.0ms
z
-inf
1.0ms
x
-inf
1.0ms
y
inf
1.0ms
x
inf

rewrite52.0ms (2.6%)

Memory
-12.2MiB live, 75.9MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
01626
15226
038524
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
10 → 65
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 1/2 binary64) (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64))) x)
(*.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) (/.f64 y x) #s(literal 1 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 #s(literal 1/2 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) (-.f64 x (*.f64 (sqrt.f64 z) y)))) (-.f64 x (*.f64 (sqrt.f64 z) y)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) y) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) (-.f64 x (*.f64 (sqrt.f64 z) y))) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) y) (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x)))
(/.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))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z) (*.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 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y)))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #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 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 x (*.f64 (sqrt.f64 z) y))) (*.f64 (sqrt.f64 z) y))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) x)) x)
(*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) (-.f64 x (*.f64 (sqrt.f64 z) y))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 z) y))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) y) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x))))
(*.f64 x (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y) (sqrt.f64 z)) (*.f64 x x)) (-.f64 (*.f64 (sqrt.f64 z) y) x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z)) y (*.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) (-.f64 x (*.f64 (sqrt.f64 z) y)))) (neg.f64 (-.f64 x (*.f64 (sqrt.f64 z) y))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) y) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x))))
(/.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) (-.f64 x (*.f64 (sqrt.f64 z) y))) (-.f64 x (*.f64 (sqrt.f64 z) y)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) y) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y) (sqrt.f64 z) (-.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 z) y) x))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) y) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)) (*.f64 (fma.f64 (sqrt.f64 z) y x) (-.f64 x (*.f64 (sqrt.f64 z) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) y) (*.f64 (*.f64 x x) x))))
(neg.f64 (-.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) x))
(fma.f64 (sqrt.f64 z) y x)
(fma.f64 y (sqrt.f64 z) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (sqrt.f64 z) y))) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y) (sqrt.f64 z)) (-.f64 x (*.f64 (sqrt.f64 z) y))))
(-.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 x))
(-.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)))
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) y)) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x))))
(+.f64 (*.f64 (sqrt.f64 z) y) x)
(+.f64 x (*.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 z)))
(+.f64 x (neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 z))))
(+.f64 x (*.f64 (sqrt.f64 z) y))
x
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
y
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(pow.f64 z #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 z)))
(sqrt.f64 z)
(fabs.f64 (neg.f64 (sqrt.f64 z)))
(fabs.f64 (sqrt.f64 z))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))
z

eval9.0ms (0.5%)

Memory
27.4MiB live, 27.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 615 to 308 computations (80.9% saved)

prune18.0ms (0.9%)

Memory
-19.3MiB live, 25.7MiB allocated; 12ms collecting garbage
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New751186
Fresh000
Picked101
Done000
Total761187
Accuracy
100.0%
Counts
87 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.1%
(*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64)))
99.8%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
51.8%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y) (sqrt.f64 z)) (*.f64 x x)) (-.f64 (*.f64 (sqrt.f64 z) y) x)))
55.7%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)) (*.f64 (fma.f64 (sqrt.f64 z) y x) (-.f64 x (*.f64 (sqrt.f64 z) y))))))
99.6%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))))))
88.0%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 z) y))) (*.f64 (sqrt.f64 z) y)))
55.7%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) (-.f64 x (*.f64 (sqrt.f64 z) y))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 z) y)))))
82.3%
#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)))))
56.0%
#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))))))
56.1%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
45.2%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 404 to 300 computations (25.7% saved)

series58.0ms (2.8%)

Memory
37.4MiB live, 122.9MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02371396
Stop Event
iter-limit
Counts
32 → 71
Calls
Call 1
Inputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 z) y x)
(sqrt.f64 z)
z
y
x
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
(*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x z))
(/.f64 x z)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y) (sqrt.f64 z)) (*.f64 x x)) (-.f64 (*.f64 (sqrt.f64 z) y) x)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y) (sqrt.f64 z)) (*.f64 x x)) (-.f64 (*.f64 (sqrt.f64 z) y) x))
(-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y) (sqrt.f64 z)) (*.f64 x x))
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y) (sqrt.f64 z))
(*.f64 (*.f64 (sqrt.f64 z) y) y)
(*.f64 (sqrt.f64 z) y)
(*.f64 x x)
(-.f64 (*.f64 (sqrt.f64 z) y) x)
Outputs
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z)))
#s(approx (+ (* (sqrt z) y) x) (+.f64 x (*.f64 y (sqrt.f64 z))))
#s(approx x x)
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))
#s(approx (* 1/2 (/ x z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))
#s(approx (/ x z) (/.f64 x z))
#s(approx (- (* (* (* (sqrt z) y) y) (sqrt z)) (* x x)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 2 binary64))))
#s(approx (- (* (* (* (sqrt z) y) y) (sqrt z)) (* x x)) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 2 binary64)))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (- (* (sqrt z) y) x) (fma.f64 #s(literal -1 binary64) x (*.f64 y (sqrt.f64 z))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))))
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x)))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))))
#s(approx (- (* (* (* (sqrt z) y) y) (sqrt z)) (* x x)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (* (* (* (sqrt z) y) y) (sqrt z)) (* x x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (- (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) x))
#s(approx (- (* (sqrt z) y) x) (*.f64 x (-.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1 binary64))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1/2 binary64)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1 binary64)))))
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x)) #s(literal 1/2 binary64)))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z))))))
#s(approx (- (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))))))
#s(approx y y)
#s(approx (* y (* z (sqrt (/ 1 z)))) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* y (sqrt (/ 1 z))) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (- (* (* (* (sqrt z) y) y) (sqrt z)) (* x x)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (* (sqrt z) y) y) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 z)))
#s(approx (- (* (sqrt z) y) x) (-.f64 (*.f64 y (sqrt.f64 z)) x))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y z))))))
#s(approx (- (* (* (* (sqrt z) y) y) (sqrt z)) (* x x)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 z) #s(literal 2 binary64)))))
#s(approx (- (* (sqrt z) y) x) (*.f64 y (+.f64 (sqrt.f64 z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 z) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 y z)))))))
#s(approx (- (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 z) (/.f64 x y)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))))
#s(approx (sqrt z) (sqrt.f64 z))
#s(approx z z)
#s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z))
#s(approx (/ 1 z) (/.f64 #s(literal 1 binary64) z))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) z))
#s(approx (* y (sqrt (/ 1 z))) (/.f64 (*.f64 y (sqrt.f64 z)) z))
#s(approx (* (/ 1 2) (/ (- (* (* (* (sqrt z) y) y) (sqrt z)) (* x x)) (- (* (sqrt z) y) x))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (sqrt.f64 z)) x))))
#s(approx (/ (- (* (* (* (sqrt z) y) y) (sqrt z)) (* x x)) (- (* (sqrt z) y) x)) (/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (sqrt.f64 z)) x)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))
#s(approx (sqrt z) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (sqrt (/ 1 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
#s(approx (- (* (* (* (sqrt z) y) y) (sqrt z)) (* x x)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))
#s(approx (- (* (* (* (sqrt z) y) y) (sqrt z)) (* x x)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))))))
#s(approx (* (* (sqrt z) y) y) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (- (* (sqrt z) y) x) (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
#s(approx (sqrt z) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1/2 binary64) (/.f64 x z))))))
#s(approx (* (* (sqrt z) y) y) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.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 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))))
Calls

9 calls:

TimeVariablePoint
14.0ms
z
inf
8.0ms
y
inf
5.0ms
z
-inf
4.0ms
z
0
4.0ms
x
0

rewrite181.0ms (8.8%)

Memory
-37.0MiB live, 93.0MiB allocated; 127ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037235
062199
1236176
01850176
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
32 → 537
Calls
Call 1
Inputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 z) y x)
(sqrt.f64 z)
z
y
x
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
(*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x z))
(/.f64 x z)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y) (sqrt.f64 z)) (*.f64 x x)) (-.f64 (*.f64 (sqrt.f64 z) y) x)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y) (sqrt.f64 z)) (*.f64 x x)) (-.f64 (*.f64 (sqrt.f64 z) y) x))
(-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y) (sqrt.f64 z)) (*.f64 x x))
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y) (sqrt.f64 z))
(*.f64 (*.f64 (sqrt.f64 z) y) y)
(*.f64 (sqrt.f64 z) y)
(*.f64 x x)
(-.f64 (*.f64 (sqrt.f64 z) y) x)
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))) x)
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64))) (*.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 y (sqrt.f64 z)) x) (fma.f64 y (sqrt.f64 z) x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) (*.f64 y (sqrt.f64 z))) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z) (*.f64 x (fma.f64 y (sqrt.f64 z) x))))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 y (sqrt.f64 z)) x) (fma.f64 y (sqrt.f64 z) x)) #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 y (sqrt.f64 z)) x) (fma.f64 y (sqrt.f64 z) x))) (fma.f64 y (sqrt.f64 z) 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 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sqrt.f64 z))))) (/.f64 (*.f64 (-.f64 (*.f64 y (sqrt.f64 z)) x) (fma.f64 y (sqrt.f64 z) x)) (*.f64 y (sqrt.f64 z))))
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 y (sqrt.f64 z)) x) (fma.f64 y (sqrt.f64 z) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (+.f64 (/.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 y (sqrt.f64 z)) x) (fma.f64 y (sqrt.f64 z) x)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (*.f64 y (sqrt.f64 z)))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) (*.f64 y (sqrt.f64 z))))) (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (*.f64 x x)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) (*.f64 y (sqrt.f64 z)))) #s(literal 1/2 binary64)) (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (fma.f64 y (sqrt.f64 z) x) (-.f64 x (*.f64 y (sqrt.f64 z)))) #s(literal 1/2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 y (sqrt.f64 z)) x) (fma.f64 y (sqrt.f64 z) x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sqrt.f64 z))))) (*.f64 y (sqrt.f64 z)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 y (sqrt.f64 z) x) (-.f64 x (*.f64 y (sqrt.f64 z))))) (-.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))))))
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(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (*.f64 (*.f64 y (sqrt.f64 z)) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 z)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z) (*.f64 x x)) (*.f64 (-.f64 (*.f64 y (sqrt.f64 z)) x) (fma.f64 y (sqrt.f64 z) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (*.f64 (*.f64 y (sqrt.f64 z)) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 z)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z) (*.f64 x x)))) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))))
(neg.f64 (*.f64 (fma.f64 y (sqrt.f64 z) x) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z)) y (*.f64 (neg.f64 x) x))
(fma.f64 (*.f64 (sqrt.f64 z) (*.f64 y (sqrt.f64 z))) y (*.f64 (neg.f64 x) x))
(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 z)) (*.f64 y y) (*.f64 (neg.f64 x) x))
(fma.f64 (fabs.f64 (*.f64 y (sqrt.f64 z))) (fabs.f64 (*.f64 y (sqrt.f64 z))) (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 x) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)))
(fma.f64 (*.f64 y y) (*.f64 (sqrt.f64 z) (sqrt.f64 z)) (*.f64 (neg.f64 x) x))
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 (neg.f64 x) x))
(fma.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x)) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)))
(fma.f64 (neg.f64 x) (neg.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)))
(fma.f64 (neg.f64 x) x (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)))
(fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z) (*.f64 (neg.f64 x) x))
(fma.f64 (*.f64 y (sqrt.f64 z)) (*.f64 y (sqrt.f64 z)) (*.f64 (neg.f64 x) x))
(fma.f64 x (neg.f64 x) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)))
(fma.f64 y (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z)) (*.f64 (neg.f64 x) x))
(fma.f64 y (*.f64 (sqrt.f64 z) (*.f64 y (sqrt.f64 z))) (*.f64 (neg.f64 x) x))
(fma.f64 (sqrt.f64 z) (*.f64 (*.f64 y (sqrt.f64 z)) y) (*.f64 (neg.f64 x) x))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (*.f64 (*.f64 y (sqrt.f64 z)) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 z))) (fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (*.f64 (*.f64 y (sqrt.f64 z)) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 z)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z) (*.f64 x x))))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (*.f64 (*.f64 y (sqrt.f64 z)) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 z)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z) (*.f64 x x))))))
(-.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) (*.f64 (neg.f64 (neg.f64 x)) x))
(-.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) (*.f64 x x))
(+.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)))
(+.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z)) y)
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 y (sqrt.f64 z))) y)
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 z)) (*.f64 y y))
(*.f64 (fabs.f64 (*.f64 y (sqrt.f64 z))) (fabs.f64 (*.f64 y (sqrt.f64 z))))
(*.f64 (*.f64 y y) (*.f64 (sqrt.f64 z) (sqrt.f64 z)))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 (neg.f64 y) (sqrt.f64 z)))
(*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z))
(*.f64 (*.f64 y (sqrt.f64 z)) (*.f64 y (sqrt.f64 z)))
(*.f64 y (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z)))
(*.f64 y (*.f64 (sqrt.f64 z) (*.f64 y (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 y (sqrt.f64 z)) y))
(pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 2 binary64))
(*.f64 (*.f64 y y) (sqrt.f64 z))
(*.f64 (*.f64 y (sqrt.f64 z)) y)
(*.f64 y (*.f64 y (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 y y))
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sqrt.f64 z)))) y) (sqrt.f64 z))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sqrt.f64 z)))) (sqrt.f64 z)) y)
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 y (sqrt.f64 z)) x) (fma.f64 y (sqrt.f64 z) x)) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) (*.f64 y (sqrt.f64 z))))) (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 y (sqrt.f64 z)) x) (fma.f64 y (sqrt.f64 z) x)) (*.f64 (fma.f64 y (sqrt.f64 z) x) (-.f64 x (*.f64 y (sqrt.f64 z))))) (-.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 y (sqrt.f64 z)) x) (fma.f64 y (sqrt.f64 z) x)) (*.f64 (-.f64 (*.f64 y (sqrt.f64 z)) x) (fma.f64 y (sqrt.f64 z) x))) (-.f64 (*.f64 y (sqrt.f64 z)) x))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 y (sqrt.f64 z)) x) (fma.f64 y (sqrt.f64 z) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 y (sqrt.f64 z)))) (*.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z))))) (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z))))) (*.f64 (-.f64 (*.f64 y (sqrt.f64 z)) x) (fma.f64 y (sqrt.f64 z) x))) (/.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) (-.f64 x (*.f64 y (sqrt.f64 z))))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sqrt.f64 z)))) (/.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) (*.f64 y (sqrt.f64 z))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sqrt.f64 z)))) (*.f64 y (sqrt.f64 z)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z))))) (/.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) (*.f64 y (sqrt.f64 z))) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z) (*.f64 x (fma.f64 y (sqrt.f64 z) x)))))
(*.f64 (*.f64 (-.f64 (*.f64 y (sqrt.f64 z)) x) (fma.f64 y (sqrt.f64 z) x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 y (sqrt.f64 z)) x) (fma.f64 y (sqrt.f64 z) x)) (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))) x)
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 y (sqrt.f64 z)) x) (fma.f64 y (sqrt.f64 z) x)) (+.f64 (/.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64))) (*.f64 y (sqrt.f64 z)))
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 y (sqrt.f64 z)) x) (fma.f64 y (sqrt.f64 z) x)) (*.f64 (-.f64 (*.f64 y (sqrt.f64 z)) x) (fma.f64 y (sqrt.f64 z) x))) (/.f64 #s(literal -1 binary64) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) (*.f64 y (sqrt.f64 z)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 z)) (*.f64 y y) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (sqrt.f64 z)) (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) (*.f64 y (sqrt.f64 z))) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z) (*.f64 x (fma.f64 y (sqrt.f64 z) x)))))
(/.f64 (*.f64 (fma.f64 y (sqrt.f64 z) x) (-.f64 x (*.f64 y (sqrt.f64 z)))) (neg.f64 (fma.f64 y (sqrt.f64 z) x)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z) (*.f64 x x)) (*.f64 (-.f64 (*.f64 y (sqrt.f64 z)) x) (fma.f64 y (sqrt.f64 z) x))) (*.f64 (fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z) (*.f64 x x)) (fma.f64 y (sqrt.f64 z) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) (*.f64 y (sqrt.f64 z))) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z) (*.f64 x (fma.f64 y (sqrt.f64 z) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (*.f64 (*.f64 y (sqrt.f64 z)) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 z)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z) (*.f64 x x)))) (fma.f64 y (sqrt.f64 z) x)))
(/.f64 (*.f64 (-.f64 (*.f64 y (sqrt.f64 z)) x) (fma.f64 y (sqrt.f64 z) x)) (fma.f64 y (sqrt.f64 z) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(neg.f64 (-.f64 x (*.f64 y (sqrt.f64 z))))
(fma.f64 y (sqrt.f64 z) (neg.f64 x))
(fma.f64 (sqrt.f64 z) y (neg.f64 x))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) (*.f64 y (sqrt.f64 z))) (fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z) (*.f64 x (fma.f64 y (sqrt.f64 z) x)))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z) (*.f64 x (fma.f64 y (sqrt.f64 z) x)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) x)) (/.f64 (*.f64 x x) (fma.f64 y (sqrt.f64 z) x)))
(-.f64 (*.f64 y (sqrt.f64 z)) (neg.f64 (neg.f64 x)))
(-.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 y (sqrt.f64 z) x)))
(+.f64 (neg.f64 x) (*.f64 y (sqrt.f64 z)))
(+.f64 (*.f64 y (sqrt.f64 z)) (neg.f64 x))

eval71.0ms (3.4%)

Memory
-4.7MiB live, 95.7MiB allocated; 20ms collecting garbage
Compiler

Compiled 15 391 to 2 021 computations (86.9% saved)

prune16.0ms (0.8%)

Memory
-19.2MiB live, 26.9MiB allocated; 3ms collecting garbage
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New5097516
Fresh516
Picked325
Done000
Total51710527
Accuracy
100.0%
Counts
527 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.1%
(*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64)))
99.8%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
56.1%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
56.0%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 z (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) y)))
49.2%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 y (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) z)))
82.4%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) z))
50.4%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
49.1%
#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)))))))
50.5%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z))))
45.2%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 343 to 284 computations (17.2% saved)

series55.0ms (2.7%)

Memory
29.9MiB live, 76.7MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03021825
Stop Event
iter-limit
Counts
29 → 92
Calls
Call 1
Inputs
(*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64))
(sqrt.f64 z)
z
(/.f64 y x)
y
x
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 y (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) z)))
(*.f64 (/.f64 y (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) z))
(/.f64 y (sqrt.f64 z))
(*.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)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) z))
(*.f64 (*.f64 (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) z)
(*.f64 (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
(+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))
(/.f64 x z)
Outputs
#s(approx (* (+ (* (sqrt z) (/ y x)) 1) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
#s(approx (* (+ (* (sqrt z) (/ y x)) 1) (* 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)) 1) (/.f64 (*.f64 y (sqrt.f64 z)) x))
#s(approx (+ (* (sqrt z) (/ y x)) 1) (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) x))
#s(approx (/ y x) (/.f64 y x))
#s(approx x x)
#s(approx (* x 1/2) (*.f64 #s(literal 1/2 binary64) 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 (+ (* 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 (* (* (+ (/ x z) (/ y (sqrt z))) 1/2) z) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z))))
#s(approx (* (* (+ (/ x z) (/ y (sqrt z))) 1/2) z) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z)))))
#s(approx (* (+ (/ x z) (/ y (sqrt z))) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 z))))
#s(approx (* (+ (/ x z) (/ y (sqrt z))) 1/2) (fma.f64 #s(literal 1/2 binary64) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 z)))))
#s(approx (+ (/ x z) (/ y (sqrt z))) (/.f64 y (sqrt.f64 z)))
#s(approx (+ (/ x z) (/ y (sqrt z))) (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))
#s(approx (/ x z) (/.f64 x z))
#s(approx (* (+ (* (sqrt z) (/ y x)) 1) (* 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)) 1) #s(literal 1 binary64))
#s(approx (+ (* (sqrt z) (/ y x)) 1) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)))
#s(approx (+ (* (sqrt z) y) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))))
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x)))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #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 (* (* (+ (/ x z) (/ y (sqrt z))) 1/2) 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 (* (+ (/ x z) (/ y (sqrt z))) 1/2) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))))
#s(approx (+ (/ x z) (/ y (sqrt z))) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 x (sqrt.f64 z))))))
#s(approx (* (+ (* (sqrt z) (/ y x)) 1) (* 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 (* (* (+ (/ x z) (/ y (sqrt z))) 1/2) 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 (* (+ (/ x z) (/ y (sqrt z))) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 x (sqrt.f64 z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z))))))
#s(approx (+ (/ x z) (/ y (sqrt z))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (sqrt.f64 z)))) (/.f64 #s(literal 1 binary64) 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) (* 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)) 1) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sqrt.f64 z) x))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y z))))))
#s(approx (* (* (+ (/ x z) (/ y (sqrt z))) 1/2) 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 (* (+ (/ x z) (/ y (sqrt z))) 1/2) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))))
#s(approx (+ (/ x z) (/ y (sqrt z))) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (*.f64 y z)))))
#s(approx (* (+ (* (sqrt z) (/ y x)) 1) (* 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)) 1) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 z) x)) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 z) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 y z)))))))
#s(approx (* (* (+ (/ x z) (/ y (sqrt z))) 1/2) 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 (* (+ (/ x z) (/ y (sqrt z))) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 y z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))))
#s(approx (+ (/ x z) (/ y (sqrt z))) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))))
#s(approx (* (+ (* (sqrt z) (/ y x)) 1) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)))))
#s(approx (sqrt z) (sqrt.f64 z))
#s(approx z z)
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))))
#s(approx (* 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 (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z))
#s(approx (/ 1 z) (/.f64 #s(literal 1 binary64) z))
#s(approx (* (+ (/ x z) (/ y (sqrt z))) 1/2) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z)))) z))
#s(approx (+ (/ x z) (/ y (sqrt z))) (/.f64 (+.f64 x (/.f64 (*.f64 y z) (sqrt.f64 z))) z))
#s(approx (* (+ (* (sqrt z) (/ y x)) 1) (* 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)) 1) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x))
#s(approx (+ (* (sqrt z) (/ y x)) 1) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x))))
#s(approx (sqrt z) (*.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 (* (/ y (sqrt z)) (* 1/2 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (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 (/ 1 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
#s(approx (* (* (+ (/ x z) (/ y (sqrt z))) 1/2) z) (*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* (+ (/ x z) (/ y (sqrt z))) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) z)))
#s(approx (+ (/ x z) (/ y (sqrt z))) (/.f64 (+.f64 x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) z))
#s(approx (* (+ (* (sqrt z) (/ y x)) 1) (* 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) (* 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)) 1) (*.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)) 1) (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x) (/.f64 #s(literal 1 binary64) z)))))
#s(approx (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 (* (/ y (sqrt z)) (* 1/2 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 (+ (* 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 (* (* (+ (/ x z) (/ y (sqrt z))) 1/2) z) (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1 binary64) x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* (+ (/ x z) (/ y (sqrt z))) 1/2) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) z)))
#s(approx (+ (/ x z) (/ y (sqrt z))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) z)))
Calls

9 calls:

TimeVariablePoint
13.0ms
y
inf
8.0ms
x
-inf
4.0ms
z
-inf
4.0ms
y
-inf
4.0ms
z
0

rewrite87.0ms (4.2%)

Memory
7.6MiB live, 96.9MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044248
065223
1246222
02075216
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
29 → 419
Calls
Call 1
Inputs
(*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64))
(sqrt.f64 z)
z
(/.f64 y x)
y
x
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 y (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) z)))
(*.f64 (/.f64 y (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) z))
(/.f64 y (sqrt.f64 z))
(*.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)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) z))
(*.f64 (*.f64 (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) z)
(*.f64 (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
(+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))
(/.f64 x z)
Outputs
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64))) (/.f64 (*.f64 y (sqrt.f64 z)) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64))) (*.f64 y (sqrt.f64 z)))
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 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 (+.f64 (/.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (+.f64 (/.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal -1 binary64))) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (pow.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) (*.f64 x x)) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 y (sqrt.f64 z) x) (-.f64 x (*.f64 y (sqrt.f64 z))))) (-.f64 x (*.f64 y (sqrt.f64 z))))
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(/.f64 x z)
(neg.f64 (/.f64 x (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 x) z))

eval96.0ms (4.7%)

Memory
-6.4MiB live, 92.7MiB allocated; 22ms collecting garbage
Compiler

Compiled 14 679 to 2 153 computations (85.3% saved)

prune25.0ms (1.2%)

Memory
-21.1MiB live, 25.1MiB allocated; 4ms collecting garbage
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New5204524
Fresh213
Picked325
Done022
Total5259534
Accuracy
100.0%
Counts
534 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
56.1%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
50.5%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 (*.f64 (*.f64 y z) #s(literal 1/2 binary64)) (sqrt.f64 z)))
56.0%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 z (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) y)))
49.2%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 y (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) z)))
48.7%
#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 (sqrt.f64 z) y)))))
45.2%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
56.0%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(approx (* (/ y (sqrt z)) (* 1/2 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
99.7%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(approx (* (* (+ (/ x z) (/ y (sqrt z))) 1/2) z) (*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
Compiler

Compiled 321 to 255 computations (20.6% saved)

series40.0ms (1.9%)

Memory
23.9MiB live, 67.1MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02381373
Stop Event
iter-limit
Counts
29 → 70
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(approx (* (* (+ (/ x z) (/ y (sqrt z))) 1/2) z) (*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
#s(approx (* (* (+ (/ x z) (/ y (sqrt z))) 1/2) z) (*.f64 #s(literal 1/2 binary64) (+.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(literal 1/2 binary64)
(+.f64 x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
x
(/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
y
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 z (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 (/.f64 z (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) y))
(/.f64 z (sqrt.f64 z))
(sqrt.f64 z)
(*.f64 #s(literal 1/2 binary64) y)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 (*.f64 (*.f64 y z) #s(literal 1/2 binary64)) (sqrt.f64 z)))
(/.f64 (*.f64 (*.f64 y z) #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 (*.f64 y z) #s(literal 1/2 binary64))
(*.f64 y z)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(approx (* (/ y (sqrt z)) (* 1/2 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* (/ y (sqrt z)) (* 1/2 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#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 (sqrt.f64 z) y)))))
(*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) y))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) y)))
(/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) y))
(/.f64 (sqrt.f64 z) y)
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 z) (/ y (sqrt z))) 1/2) z) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z))))
#s(approx (* (* (+ (/ x z) (/ y (sqrt z))) 1/2) z) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 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 (+ x (/ y (sqrt (/ 1 z)))) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (+ x (/ y (sqrt (/ 1 z)))) (+.f64 x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx x 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 (* 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 z) (/ y (sqrt z))) 1/2) 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 (/ 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 (+ 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 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x)))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* (/ 1 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 z) (/ y (sqrt z))) 1/2) 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 (/ 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 (+ 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 (* 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 (* 1/2 y) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (* (* y z) 1/2) (*.f64 #s(literal 1/2 binary64) (*.f64 y z)))
#s(approx (* y z) (*.f64 y z))
#s(approx (/ 1/2 (/ (sqrt z) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 z))))
#s(approx (/ (sqrt z) y) (/.f64 (sqrt.f64 z) 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 z) (/ y (sqrt z))) 1/2) 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 (/ 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 (+ 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 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y z))))))
#s(approx (* (/ 1 2) (+ x (* y (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 z) (/ y (sqrt z))) 1/2) 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 (/ 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 (+ 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 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 y z)))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))))
#s(approx (+ x (/ y (sqrt (/ 1 z)))) (+.f64 x (/.f64 (*.f64 y z) (sqrt.f64 z))))
#s(approx (/ y (sqrt (/ 1 z))) (/.f64 (*.f64 y z) (sqrt.f64 z)))
#s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z))
#s(approx (/ 1 z) (/.f64 #s(literal 1 binary64) z))
#s(approx z z)
#s(approx (/ z (sqrt z)) (/.f64 z (sqrt.f64 z)))
#s(approx (sqrt z) (sqrt.f64 z))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) z))
#s(approx (* (/ 1 2) (+ 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 z) (/ y (sqrt z))) 1/2) z) (*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (sqrt (/ 1 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) (*.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 (/ (sqrt z) y) (/.f64 (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) y))
#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 z) (/ y (sqrt z))) 1/2) z) (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1 binary64) x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* (/ z (sqrt z)) (* 1/2 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 (sqrt z) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1/2 binary64) (/.f64 x z))))))
#s(approx (/ 1/2 (/ (sqrt z) y)) (*.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (/ (sqrt z) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) y)))
Calls

9 calls:

TimeVariablePoint
9.0ms
y
-inf
4.0ms
z
-inf
4.0ms
y
inf
4.0ms
z
0
4.0ms
z
inf

rewrite80.0ms (3.9%)

Memory
-6.9MiB live, 88.2MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048295
065283
1251266
02307257
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
29 → 299
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(approx (* (* (+ (/ x z) (/ y (sqrt z))) 1/2) z) (*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
#s(approx (* (* (+ (/ x z) (/ y (sqrt z))) 1/2) z) (*.f64 #s(literal 1/2 binary64) (+.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(literal 1/2 binary64)
(+.f64 x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
x
(/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
y
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 z (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 (/.f64 z (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) y))
(/.f64 z (sqrt.f64 z))
(sqrt.f64 z)
(*.f64 #s(literal 1/2 binary64) y)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 (*.f64 (*.f64 y z) #s(literal 1/2 binary64)) (sqrt.f64 z)))
(/.f64 (*.f64 (*.f64 y z) #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 (*.f64 y z) #s(literal 1/2 binary64))
(*.f64 y z)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(approx (* (/ y (sqrt z)) (* 1/2 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* (/ y (sqrt z)) (* 1/2 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#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 (sqrt.f64 z) y)))))
(*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) y))))
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) y)))
(/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) y))
(/.f64 (sqrt.f64 z) y)
Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(approx (* (* (+ (/ x z) (/ y (sqrt z))) 1/2) z) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))))
#s(approx (* (* (+ (/ x z) (/ y (sqrt z))) 1/2) z) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64))) x)
(*.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 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 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 #s(literal 1/2 binary64) (+.f64 (/.f64 x (sqrt.f64 z)) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 z) y) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x)))
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(*.f64 (/.f64 z (sqrt.f64 z)) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (*.f64 z y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 y (sqrt.f64 z)) (*.f64 z #s(literal 1/2 binary64)))
(*.f64 z (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y))
(*.f64 y (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(*.f64 y (*.f64 z (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 z #s(literal 1/2 binary64))))
(*.f64 y (*.f64 (/.f64 z (sqrt.f64 z)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 z (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z y) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y (sqrt.f64 z)) z))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 z (sqrt.f64 z)) y) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 z) (*.f64 (*.f64 z y) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (neg.f64 y)) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) y))
(/.f64 (*.f64 (*.f64 (*.f64 z y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 z))
(/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) z))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 z) y))
(/.f64 (*.f64 (neg.f64 z) (*.f64 y #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 z) z))
(/.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (sqrt.f64 z) (neg.f64 y)))
(/.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 (sqrt.f64 z) y) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) (neg.f64 (neg.f64 (sqrt.f64 z))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) (neg.f64 (sqrt.f64 z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 z) (*.f64 (*.f64 z y) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) y))
(/.f64 (*.f64 (*.f64 z y) #s(literal 1/2 binary64)) (sqrt.f64 z))
(/.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 z) (*.f64 (*.f64 z y) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) (*.f64 (*.f64 z y) #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (*.f64 (*.f64 z y) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 z))))
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) (sqrt.f64 z)))
(*.f64 (*.f64 z #s(literal 1/2 binary64)) y)
(*.f64 (*.f64 z y) #s(literal 1/2 binary64))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) z)
(*.f64 z (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y (*.f64 z #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z y))
(*.f64 z y)
(*.f64 y z)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(approx (* (/ y (sqrt z)) (* 1/2 z)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y)))
#s(approx (* (/ y (sqrt z)) (* 1/2 z)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y)
(*.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 z))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))
(*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 y (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(/.f64 (neg.f64 (*.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(/.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 y #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y)) z))
(*.f64 #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y)) 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 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 z))) (neg.f64 y))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y)
(*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 y) (sqrt.f64 z)))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #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 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y))
(pow.f64 (*.f64 (/.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 z))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 y)) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 z)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 z) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (sqrt.f64 z) y) #s(literal 2 binary64))))
(/.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z))
(/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) y))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) y) #s(literal 2 binary64)))
(neg.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) (neg.f64 y))))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 z) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) y))
(pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal -1 binary64))
(/.f64 (*.f64 (sqrt.f64 z) #s(literal 1 binary64)) y)
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 z))) (neg.f64 (neg.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(/.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (sqrt.f64 z)))
(/.f64 (/.f64 (sqrt.f64 z) y) #s(literal 1 binary64))
(/.f64 (sqrt.f64 z) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 z)))
(neg.f64 (/.f64 (sqrt.f64 z) (neg.f64 y)))

eval50.0ms (2.4%)

Memory
-19.5MiB live, 115.7MiB allocated; 19ms collecting garbage
Compiler

Compiled 12 389 to 1 635 computations (86.8% saved)

prune11.0ms (0.5%)

Memory
30.2MiB live, 30.2MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New3861387
Fresh000
Picked145
Done044
Total3879396
Accuracy
100.0%
Counts
396 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
56.1%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
50.5%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 (*.f64 (*.f64 y z) #s(literal 1/2 binary64)) (sqrt.f64 z)))
56.0%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 z (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) y)))
49.2%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 y (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) z)))
50.4%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 z y)))
48.7%
#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 (sqrt.f64 z) y)))))
45.2%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
99.7%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(approx (* (* (+ (/ x z) (/ y (sqrt z))) 1/2) z) (*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
Compiler

Compiled 178 to 145 computations (18.5% saved)

regimes129.0ms (6.3%)

Memory
-6.7MiB live, 146.0MiB allocated; 65ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
3 → 3
24 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Call 2
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
Call 3
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (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 (sqrt z)))) (*.f64 (/.f64 y (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) z)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 z (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) y)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 (*.f64 (*.f64 y z) #s(literal 1/2 binary64)) (sqrt.f64 z)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(approx (* (/ y (sqrt z)) (* 1/2 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 (sqrt.f64 z) y)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(approx (* (* (+ (/ x z) (/ y (sqrt z))) 1/2) z) (*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
(*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))) #s(literal 1/2 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)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 z) y))) (*.f64 (sqrt.f64 z) y)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y) (sqrt.f64 z)) (*.f64 x x)) (-.f64 (*.f64 (sqrt.f64 z) y) x)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) (-.f64 x (*.f64 (sqrt.f64 z) y))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 z) y)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)) (*.f64 (fma.f64 (sqrt.f64 z) y x) (-.f64 x (*.f64 (sqrt.f64 z) y))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))))))
Outputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
Calls

21 calls:

40.0ms
z
24.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
12.0ms
(+.f64 x (*.f64 y (sqrt.f64 z)))
6.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
6.0ms
(sqrt.f64 z)
Results
AccuracySegmentsBranch
45.2%1(+.f64 x (*.f64 y (sqrt.f64 z)))
45.2%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
45.2%1(sqrt.f64 z)
45.2%1z
45.2%1y
45.2%1x
45.2%1(*.f64 y (sqrt.f64 z))
66.1%2(sqrt.f64 z)
78.4%3(*.f64 y (sqrt.f64 z))
59.7%3(+.f64 x (*.f64 y (sqrt.f64 z)))
59.7%3(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
74.5%3x
74.3%3y
66.1%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 571 to 230 computations (59.7% saved)

bsearch26.0ms (1.3%)

Memory
-6.1MiB live, 37.7MiB allocated; 8ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
1.3544908553964936e-18
8.722765831580464e-13
16.0ms
-8.203590551069481e-11
-6.497032650641946e-27
Samples
14.0ms304×0valid
Compiler

Compiled 545 to 548 computations (-0.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult!: 6.0ms (81.7% of total)
ival-add!: 1.0ms (13.6% of total)
adjust: 0.0ms (0% of total)

derivations4.0ms (0.2%)

Memory
3.0MiB live, 3.0MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 83 to 25 computations (69.9% saved)

preprocess40.0ms (1.9%)

Memory
-18.4MiB live, 34.3MiB allocated; 10ms collecting garbage
Remove

(abs z)

Compiler

Compiled 259 to 121 computations (53.3% saved)

end0.0ms (0%)

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

Profiling

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