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

Time bar (total: 1.7s)

start0.0ms (0%)

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

analyze73.0ms (4.3%)

Memory
21.4MiB live, 80.7MiB allocated; 64ms 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)

sample867.0ms (50.4%)

Memory
-27.1MiB live, 1 147.9MiB allocated; 321ms collecting garbage
Samples
499.0ms8 256×0valid
85.0ms1 998×0invalid
Precisions
Click to see histograms. Total time spent on operations: 222.0ms
ival-mult!: 102.0ms (45.9% of total)
ival-sqrt: 90.0ms (40.5% of total)
ival-add!: 28.0ms (12.6% of total)
adjust: 2.0ms (0.9% of total)
Bogosity

preprocess52.0ms (3%)

Memory
-24.5MiB live, 65.7MiB allocated; 17ms 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
99.9%
(*.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 (0.7%)

Memory
29.4MiB live, 29.4MiB 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
x
-inf
1.0ms
z
-inf
1.0ms
y
inf
1.0ms
x
inf

rewrite52.0ms (3%)

Memory
-4.2MiB live, 39.6MiB allocated; 12ms 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

eval8.0ms (0.5%)

Memory
14.2MiB live, 14.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 615 to 308 computations (80.9% saved)

prune6.0ms (0.3%)

Memory
5.9MiB live, 5.9MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New79786
Fresh000
Picked101
Done000
Total80787
Accuracy
100.0%
Counts
87 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.7%
(*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64)))
99.9%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
77.4%
#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)))))
91.4%
#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)))))
48.5%
#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))))))
48.5%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
52.2%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 238 to 202 computations (15.1% saved)

series84.0ms (4.9%)

Memory
-19.5MiB live, 36.4MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0139654
Stop Event
iter-limit
Counts
23 → 43
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 (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 #s(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)
(*.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))
(/.f64 y x)
(*.f64 x #s(literal 1/2 binary64))
Outputs
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z)))
#s(approx (+ (* (sqrt z) y) x) (+.f64 x (*.f64 y (sqrt.f64 z))))
#s(approx x x)
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* (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 (* (+ (* (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 (+ (* (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) 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 y y)
#s(approx (* 1/2 (* y (* z (sqrt (/ 1 z))))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* y (* z (sqrt (/ 1 z)))) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))
#s(approx (+ (* (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) 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 (+ (* (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) 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 (* (+ (* (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) 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 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) 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 (+ (* (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)))))
Calls

9 calls:

TimeVariablePoint
57.0ms
x
inf
5.0ms
z
0
4.0ms
z
-inf
3.0ms
y
-inf
2.0ms
y
0

rewrite54.0ms (3.1%)

Memory
13.3MiB live, 56.2MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029133
046126
1152117
0943117
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
23 → 265
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 (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 #s(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)
(*.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))
(/.f64 y x)
(*.f64 x #s(literal 1/2 binary64))
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 (/.f64 (fma.f64 y (sqrt.f64 z) x) x) #s(literal 1/2 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 #s(literal 1/2 binary64) (/.f64 (fma.f64 y (sqrt.f64 z) x) x)) 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 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (fma.f64 y (sqrt.f64 z) x) x))
(*.f64 (/.f64 (fma.f64 y (sqrt.f64 z) x) x) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y (sqrt.f64 z) x) x)))
(/.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))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 y (sqrt.f64 z) x) (-.f64 (*.f64 y (sqrt.f64 z)) x))) (-.f64 (*.f64 y (sqrt.f64 z)) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.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 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.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 (-.f64 x (*.f64 y (sqrt.f64 z))))))
(/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (-.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 (*.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 (fma.f64 y (sqrt.f64 z) x) (-.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 y (sqrt.f64 z)) x))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) (*.f64 y (sqrt.f64 z)) (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (*.f64 x x)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) (*.f64 y (sqrt.f64 z)) (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z) (*.f64 x (-.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))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 y (sqrt.f64 z)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 y (sqrt.f64 z)) x)))
(fma.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))
(fma.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 z)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 y (sqrt.f64 z)) x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 y (sqrt.f64 z)) x)))
(+.f64 (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 (+.f64 (/.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64)) y) (sqrt.f64 z))
(*.f64 (*.f64 (+.f64 (/.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64)) (sqrt.f64 z)) y)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 y (sqrt.f64 z)))) (*.f64 y (sqrt.f64 z)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) x)) x)
(*.f64 (+.f64 (/.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) x))
(*.f64 (+.f64 (/.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 z)))
(*.f64 (*.f64 (fma.f64 y (sqrt.f64 z) x) (-.f64 x (*.f64 y (sqrt.f64 z)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(*.f64 (*.f64 (fma.f64 y (sqrt.f64 z) x) (-.f64 (*.f64 y (sqrt.f64 z)) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (sqrt.f64 z)) x)))
(*.f64 (fma.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 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (*.f64 x x))))
(*.f64 (fma.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 (-.f64 x (*.f64 y (sqrt.f64 z)))))))
(*.f64 (/.f64 (fma.f64 y (sqrt.f64 z) x) x) x)
(*.f64 (*.f64 y (sqrt.f64 z)) (+.f64 (/.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64)))
(*.f64 x (/.f64 (fma.f64 y (sqrt.f64 z) x) x))
(/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal -1 binary64)) x) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (-.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 (*.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 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z) (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (neg.f64 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 y (sqrt.f64 z)) (sqrt.f64 z)) y (*.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z))))))
(/.f64 (neg.f64 (fma.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 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (*.f64 x x))))
(/.f64 (neg.f64 (fma.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 (-.f64 x (*.f64 y (sqrt.f64 z)))))))
(/.f64 (*.f64 (fma.f64 y (sqrt.f64 z) x) (-.f64 x (*.f64 y (sqrt.f64 z)))) (-.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 (*.f64 (fma.f64 y (sqrt.f64 z) x) (-.f64 (*.f64 y (sqrt.f64 z)) x)) (-.f64 (*.f64 y (sqrt.f64 z)) x))
(/.f64 (fma.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 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (*.f64 x x)))
(/.f64 (fma.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 (-.f64 x (*.f64 y (sqrt.f64 z))))))
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(/.f64 (fma.f64 y (sqrt.f64 z) x) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.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 (pow.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 3 binary64)) #s(literal -1 binary64))))
(neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)))
(fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 y x) (*.f64 (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
(fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1 binary64))
(fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) #s(literal 1 binary64))
(fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 z) (*.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64))
(-.f64 (/.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 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 y x)) (sqrt.f64 z)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 z)) (/.f64 y x)))
(-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x)))
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 3 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 #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 (*.f64 y (sqrt.f64 z)) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(/.f64 (*.f64 y #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 y x)
(neg.f64 (/.f64 y (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 y) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))

eval45.0ms (2.6%)

Memory
-44.9MiB live, 103.5MiB allocated; 33ms collecting garbage
Compiler

Compiled 5 309 to 898 computations (83.1% saved)

prune10.0ms (0.6%)

Memory
24.2MiB live, 24.2MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New2654269
Fresh202
Picked145
Done000
Total2688276
Accuracy
100.0%
Counts
276 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.7%
(*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64)))
99.9%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
77.5%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))) #s(literal 1/2 binary64))
48.5%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 z (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) y)))
42.4%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) z))
44.2%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z))))
48.5%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
52.2%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 128 to 110 computations (14.1% saved)

series35.0ms (2%)

Memory
0.0MiB live, 87.3MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01891005
Stop Event
iter-limit
Counts
25 → 62
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z)))
#s(literal 1/2 binary64)
(/.f64 (*.f64 y z) (sqrt.f64 z))
(*.f64 y z)
y
z
(sqrt.f64 z)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) z))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) z)
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
#s(literal 1 binary64)
#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))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
(/.f64 x z)
x
Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))))
#s(approx (+ (* (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 (+ (* y (sqrt (/ 1 z))) (/ x z))) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (+.f64 x (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
#s(approx (/ x z) (/.f64 x 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 (+ (* (sqrt z) y) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))))
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x))))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1/2 binary64)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1 binary64)))))
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x)) #s(literal 1 binary64)))))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x)) (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* 1/2 (/ (* y z) (sqrt z))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z))))
#s(approx (/ (* y z) (sqrt z)) (/.f64 (*.f64 y z) (sqrt.f64 z)))
#s(approx (* y z) (*.f64 y z))
#s(approx y y)
#s(approx (* (* 1/2 y) (/ 1 (sqrt z))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 z))))
#s(approx (* 1/2 y) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (*.f64 y (fma.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x y))))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.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 (+ (* (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 (+ (* y (sqrt (/ 1 z))) (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z)))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))))
#s(approx z z)
#s(approx (sqrt z) (sqrt.f64 z))
#s(approx (/ 1 (sqrt z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
#s(approx (/ z (sqrt z)) (/.f64 z (sqrt.f64 z)))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) z))
#s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z))
#s(approx (/ 1 z) (/.f64 #s(literal 1 binary64) z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 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 (* 1/2 (/ (* y z) (sqrt z))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (/ (* y z) (sqrt z)) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (sqrt z) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (* (* 1/2 y) (/ 1 (sqrt z))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (/ 1 (sqrt z)) (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (/ z (sqrt z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))
#s(approx (sqrt (/ 1 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))))
#s(approx (* 1/2 (/ (* y z) (sqrt z))) (*.f64 #s(literal -1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (/ (* y z) (sqrt z)) (*.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (sqrt z) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* (* 1/2 y) (/ 1 (sqrt z))) (*.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (/ 1 (sqrt z)) (/.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (/ z (sqrt z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (*.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 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1 binary64) (/.f64 x z))))))
Calls

9 calls:

TimeVariablePoint
6.0ms
y
inf
4.0ms
z
-inf
3.0ms
z
0
3.0ms
y
-inf
2.0ms
z
inf

rewrite73.0ms (4.3%)

Memory
25.1MiB live, 119.6MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033182
051176
1191164
01290156
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
25 → 298
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z)))
#s(literal 1/2 binary64)
(/.f64 (*.f64 y z) (sqrt.f64 z))
(*.f64 y z)
y
z
(sqrt.f64 z)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) z))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) z)
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
#s(literal 1 binary64)
#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))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
(/.f64 x z)
x
Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 y (sqrt.f64 z))))
(*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 y (sqrt.f64 z)))
(*.f64 (*.f64 (/.f64 z (sqrt.f64 z)) #s(literal 1/2 binary64)) y)
(*.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(*.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (*.f64 y #s(literal 1/2 binary64)) z))
(*.f64 (/.f64 z (sqrt.f64 z)) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) z)
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 z (sqrt.f64 z)))
(*.f64 (*.f64 z y) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 1/2 binary64)))
(*.f64 z (*.f64 (/.f64 y (sqrt.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 (/.f64 y (sqrt.f64 z)) z))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 y) z)) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 (*.f64 (neg.f64 y) z) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 (neg.f64 z) (*.f64 y #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 z)))
(/.f64 (neg.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) z)) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) z) (sqrt.f64 z))
(/.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) z))
(/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) (*.f64 z y)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) (*.f64 (*.f64 y #s(literal 1/2 binary64)) z)))
#s(literal 1/2 binary64)
(*.f64 (*.f64 (*.f64 z y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
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(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 z z)) (/.f64 x z) (*.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) (/.f64 y (sqrt.f64 z))))) (neg.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))))))
(/.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) z)
(/.f64 (-.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 x x) (*.f64 z z))) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))
(/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 z z)) (/.f64 x z) (*.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) (/.f64 y (sqrt.f64 z)))) (fma.f64 (/.f64 x z) (/.f64 x z) (-.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))))
(/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 z z)) (/.f64 x z) (*.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) (/.f64 y (sqrt.f64 z)))) (fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))))
(/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 (/.f64 y (sqrt.f64 z)) z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)) (-.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 x x) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 z z)) (/.f64 x z) (*.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) (/.f64 y (sqrt.f64 z))))))
(neg.f64 (-.f64 (/.f64 (neg.f64 x) z) (/.f64 y (sqrt.f64 z))))
(fma.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x z))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z) (/.f64 y (sqrt.f64 z)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 y (sqrt.f64 z)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))
(fma.f64 (/.f64 #s(literal 1 binary64) z) x (/.f64 y (sqrt.f64 z)))
(fma.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x z))
(fma.f64 x (/.f64 #s(literal 1 binary64) z) (/.f64 y (sqrt.f64 z)))
(fma.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 z)) (/.f64 x z))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (/.f64 y (sqrt.f64 z)))
(-.f64 (/.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))) (/.f64 (/.f64 (*.f64 x x) (*.f64 z z)) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
(-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 (neg.f64 x) z))
(-.f64 (/.f64 x z) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y))
(-.f64 (/.f64 x z) (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(-.f64 (/.f64 x z) (neg.f64 (/.f64 y (sqrt.f64 z))))
(+.f64 (/.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) z) (/.f64 x z))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) (/.f64 y (sqrt.f64 z))) (fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))))) (/.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 z z)) (/.f64 x z)) (fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))))))
(+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))
(+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64))
(pow.f64 z #s(literal -1/2 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 z))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 z) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(fabs.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(pow.f64 z #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 z))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) z)
(neg.f64 (/.f64 #s(literal -1 binary64) z))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(exp.f64 (*.f64 (log.f64 z) #s(literal -1 binary64)))
(*.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 z))
(/.f64 (*.f64 x #s(literal 1 binary64)) z)
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 x) (neg.f64 z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z x)))
(/.f64 x z)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z x))
(neg.f64 (/.f64 (neg.f64 x) z))
x

eval40.0ms (2.3%)

Memory
-25.9MiB live, 107.6MiB allocated; 20ms collecting garbage
Compiler

Compiled 7 717 to 1 345 computations (82.6% saved)

prune7.0ms (0.4%)

Memory
24.0MiB live, 24.0MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New3162318
Fresh000
Picked314
Done044
Total3197326
Accuracy
100.0%
Counts
326 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.7%
(*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64)))
99.9%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
91.1%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 y (sqrt.f64 z)) z x)) #s(literal 1/2 binary64))
42.5%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z)) z))
44.2%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z))))
48.5%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
52.2%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 103 to 89 computations (13.6% saved)

series25.0ms (1.4%)

Memory
-6.6MiB live, 41.4MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156720
Stop Event
iter-limit
Counts
13 → 46
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z)) z))
(*.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z)) z)
(/.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 y #s(literal 1/2 binary64))
y
#s(literal 1/2 binary64)
(sqrt.f64 z)
z
(*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 y (sqrt.f64 z)) z x)) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 y (sqrt.f64 z)) z x))
(fma.f64 (/.f64 y (sqrt.f64 z)) z x)
(/.f64 y (sqrt.f64 z))
x
Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z)))
#s(approx (+ (* (sqrt z) y) x) (+.f64 x (*.f64 y (sqrt.f64 z))))
#s(approx (+ (* (/ y (sqrt z)) z) x) (/.f64 (*.f64 y z) (sqrt.f64 z)))
#s(approx (+ (* (/ y (sqrt z)) z) x) (+.f64 x (/.f64 (*.f64 y z) (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 (+ (* (sqrt z) y) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))))
#s(approx (+ (* (/ y (sqrt z)) z) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 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 (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1 binary64)))))
#s(approx (+ (* (/ y (sqrt z)) z) x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z)))) #s(literal 1 binary64)))))
#s(approx (* (/ (* y 1/2) (sqrt z)) z) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z))))
#s(approx (/ (* y 1/2) (sqrt z)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 z))))
#s(approx (* y 1/2) (*.f64 #s(literal 1/2 binary64) y))
#s(approx y y)
#s(approx (/ y (sqrt z)) (/.f64 y (sqrt.f64 z)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))
#s(approx (+ (* (/ y (sqrt z)) z) x) (*.f64 y (+.f64 (/.f64 x y) (/.f64 z (sqrt.f64 z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
#s(approx (+ (* (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 (+ (* (/ y (sqrt z)) z) x) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x y) (*.f64 #s(literal -1 binary64) (/.f64 z (sqrt.f64 z)))))))
#s(approx (* (/ 1 2) (+ x (* y (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 (* (/ (* y 1/2) (sqrt z)) z) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (/ (* y 1/2) (sqrt z)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (sqrt z) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (+ (* (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)) z) x) (+.f64 x (/.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 (* (/ 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 (* (/ (* y 1/2) (sqrt z)) z) (*.f64 #s(literal -1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (/ (* y 1/2) (sqrt z)) (*.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (sqrt z) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (+ (* (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)) z) x) (+.f64 x (*.f64 #s(literal -1 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))))))
Calls

9 calls:

TimeVariablePoint
10.0ms
z
inf
2.0ms
y
-inf
2.0ms
z
-inf
1.0ms
y
inf
1.0ms
y
0

rewrite63.0ms (3.7%)

Memory
25.5MiB live, 66.9MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02281
03181
112681
091478
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
13 → 102
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z)) z))
(*.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z)) z)
(/.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 y #s(literal 1/2 binary64))
y
#s(literal 1/2 binary64)
(sqrt.f64 z)
z
(*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 y (sqrt.f64 z)) z x)) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 y (sqrt.f64 z)) z x))
(fma.f64 (/.f64 y (sqrt.f64 z)) z x)
(/.f64 y (sqrt.f64 z))
x
Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 z y) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(*.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(*.f64 (*.f64 z y) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y) z)
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) z))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 z (sqrt.f64 z)))
(*.f64 z (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y))
(*.f64 y (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) z))
(/.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 z #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 #s(literal 1 binary64) z) (/.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) z)) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) z) (sqrt.f64 z))
(/.f64 z (/.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) (*.f64 (*.f64 y #s(literal 1/2 binary64)) z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z))))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(*.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 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 z))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) y)) (neg.f64 (neg.f64 (sqrt.f64 z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 z))))
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) (sqrt.f64 z)))
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
y
#s(literal 1/2 binary64)
(*.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
(*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 y (sqrt.f64 z)) z x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 y (sqrt.f64 z)) z x)))
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 y (sqrt.f64 z)) z x))
(*.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 y (sqrt.f64 z))) z)
(*.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 z) #s(literal 1 binary64)) z) (/.f64 y (sqrt.f64 z)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (/.f64 y (sqrt.f64 z)) z))) (*.f64 (/.f64 y (sqrt.f64 z)) z))
(*.f64 (fma.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 z) #s(literal 1 binary64)) (*.f64 (/.f64 y (sqrt.f64 z)) z))
(*.f64 (*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) (-.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) x)))
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (/.f64 y (sqrt.f64 z)) z)) (/.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (*.f64 (sqrt.f64 z) (sqrt.f64 z))))))
(*.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) (fma.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 z) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 z) #s(literal 1 binary64)) (*.f64 z y)) (sqrt.f64 z))
(/.f64 (fma.f64 x (sqrt.f64 z) (*.f64 z y)) (sqrt.f64 z))
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (*.f64 (sqrt.f64 z) (sqrt.f64 z)))) (-.f64 x (*.f64 (/.f64 y (sqrt.f64 z)) z)))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) (/.f64 y (sqrt.f64 z))) z (fma.f64 x x (*.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) (neg.f64 x)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) (-.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) x))) (neg.f64 (-.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) x)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 y (sqrt.f64 z)) z)) (/.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (*.f64 (sqrt.f64 z) (sqrt.f64 z))))))
(/.f64 (*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) (-.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) x)) (-.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) x))
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (/.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (*.f64 (sqrt.f64 z) (sqrt.f64 z))) (*.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) x))))
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (/.f64 y (sqrt.f64 z)) z)) (/.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (*.f64 (sqrt.f64 z) (sqrt.f64 z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) x) (*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) (-.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 y (sqrt.f64 z)) z)) (/.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (*.f64 (sqrt.f64 z) (sqrt.f64 z)))) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 3 binary64)))))
(neg.f64 (-.f64 (neg.f64 x) (*.f64 (/.f64 y (sqrt.f64 z)) z)))
(fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (neg.f64 (neg.f64 x)))
(fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x)
(fma.f64 (/.f64 y (sqrt.f64 z)) z (neg.f64 (neg.f64 x)))
(fma.f64 (/.f64 y (sqrt.f64 z)) z x)
(fma.f64 z (/.f64 y (sqrt.f64 z)) (neg.f64 (neg.f64 x)))
(fma.f64 z (/.f64 y (sqrt.f64 z)) x)
(fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) z) (neg.f64 (neg.f64 x)))
(fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) z) x)
(fma.f64 y (/.f64 z (sqrt.f64 z)) (neg.f64 (neg.f64 x)))
(fma.f64 y (/.f64 z (sqrt.f64 z)) x)
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (*.f64 (sqrt.f64 z) (sqrt.f64 z))) (-.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) x)))
(-.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) (neg.f64 x))
(-.f64 x (*.f64 (neg.f64 (/.f64 y (sqrt.f64 z))) z))
(-.f64 x (*.f64 (neg.f64 z) (/.f64 y (sqrt.f64 z))))
(-.f64 x (neg.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z)))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 y (sqrt.f64 z)) z)) (/.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (*.f64 (sqrt.f64 z) (sqrt.f64 z))))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x (*.f64 (/.f64 y (sqrt.f64 z)) z)) (/.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (*.f64 (sqrt.f64 z) (sqrt.f64 z))))))
(+.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) (neg.f64 (neg.f64 x)))
(+.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) x)
(+.f64 x (*.f64 (/.f64 y (sqrt.f64 z)) z))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z))))
(*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 z)))
(pow.f64 (/.f64 (sqrt.f64 z) y) #s(literal -1 binary64))
(/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 z))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (sqrt.f64 z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 z) y)))
(/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z)))
(/.f64 y (sqrt.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 z) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) y))
(neg.f64 (/.f64 y (neg.f64 (sqrt.f64 z))))
(neg.f64 (/.f64 (neg.f64 y) (sqrt.f64 z)))
x

eval59.0ms (3.4%)

Memory
0.9MiB live, 45.5MiB allocated; 9ms collecting garbage
Compiler

Compiled 3 401 to 626 computations (81.6% saved)

prune10.0ms (0.6%)

Memory
-24.7MiB live, 18.6MiB allocated; 9ms collecting garbage
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New1451146
Fresh000
Picked022
Done145
Total1467153
Accuracy
100.0%
Counts
153 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
91.1%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 y (sqrt.f64 z)) z x)) #s(literal 1/2 binary64))
43.3%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 z (/.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))))
42.5%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z)) z))
44.2%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z))))
48.5%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
52.2%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 111 to 95 computations (14.4% saved)

regimes72.0ms (4.2%)

Memory
26.9MiB live, 164.3MiB allocated; 44ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
2 → 3
15 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Call 2
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.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 (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 z (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) y)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z)) z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 z (/.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 y (sqrt.f64 z)) z x)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) 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 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)))))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (+ 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)))))
Outputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
Calls

21 calls:

18.0ms
x
4.0ms
y
4.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
4.0ms
z
4.0ms
(sqrt.f64 z)
Results
AccuracySegmentsBranch
52.2%1(+.f64 x (*.f64 y (sqrt.f64 z)))
52.2%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
52.2%1(sqrt.f64 z)
52.2%1z
52.2%1y
52.2%1x
52.2%1(*.f64 y (sqrt.f64 z))
63.4%2(sqrt.f64 z)
77.7%3(*.f64 y (sqrt.f64 z))
61.4%3(+.f64 x (*.f64 y (sqrt.f64 z)))
61.4%3(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
76.4%3x
75.9%3y
63.4%2z
99.9%1(sqrt.f64 z)
99.9%1(*.f64 y (sqrt.f64 z))
99.9%1(+.f64 x (*.f64 y (sqrt.f64 z)))
99.9%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
99.9%1x
99.9%1y
99.9%1z
Compiler

Compiled 337 to 176 computations (47.8% saved)

bsearch20.0ms (1.1%)

Memory
6.9MiB live, 50.6MiB allocated; 8ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
5.0ms
0.09337324041683873
0.29690321623673027
13.0ms
-2.2934931546284425e+74
-6.023945982925467e+65
Samples
10.0ms224×0valid
Compiler

Compiled 405 to 408 computations (-0.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-add!: 1.0ms (50.1% of total)
ival-mult!: 1.0ms (50.1% of total)
adjust: 0.0ms (0% of total)

derivations4.0ms (0.2%)

Memory
13.2MiB live, 13.3MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 83 to 25 computations (69.9% saved)

preprocess50.0ms (2.9%)

Memory
-29.1MiB live, 81.0MiB allocated; 52ms 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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