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

Time bar (total: 1.9s)

start0.0ms (0%)

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

analyze50.0ms (2.6%)

Memory
15.3MiB live, 109.2MiB allocated; 13ms collecting garbage
Algorithm
1×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)

sample889.0ms (46.5%)

Memory
35.8MiB live, 1 600.4MiB allocated; 199ms collecting garbage
Samples
453.0ms8 256×0valid
146.0ms2 094×0invalid
Precisions
Click to see histograms. Total time spent on operations: 283.0ms
ival-mult!: 157.0ms (55.4% of total)
ival-sqrt: 93.0ms (32.8% of total)
ival-add!: 31.0ms (10.9% of total)
adjust: 2.0ms (0.7% of total)
Bogosity

explain83.0ms (4.4%)

Memory
-13.3MiB live, 186.6MiB allocated; 14ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
00-0-#s(literal 1 binary64)
00-0-z
00-0-(sqrt.f64 z)
00-0-(+.f64 x (*.f64 y (sqrt.f64 z)))
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
00-0-y
00-0-#s(literal 2 binary64)
00-0-(*.f64 y (sqrt.f64 z))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
28.0ms512×0valid
Compiler

Compiled 74 to 34 computations (54.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult!: 5.0ms (47.8% of total)
ival-sqrt: 4.0ms (38.3% of total)
ival-add!: 1.0ms (9.6% of total)
adjust: 0.0ms (0% of total)

preprocess39.0ms (2%)

Memory
-42.9MiB live, 55.0MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03784
113482
244182
3178482
4579182
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
Compiler

Compiled 20 to 20 computations (0% saved)

series9.0ms (0.5%)

Memory
13.9MiB live, 13.9MiB allocated; 0ms collecting garbage
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)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (sqrt z))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 x))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* y (sqrt z)) #s(hole binary64 (* y (sqrt z))))
#s(approx y #s(hole binary64 y))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (sqrt z) #s(hole binary64 (sqrt z)))
#s(approx z #s(hole binary64 z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (* y (sqrt z)) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
Calls

9 calls:

TimeVariablePointExpression
2.0ms
z
@-inf
((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z)
1.0ms
z
@0
((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z)
1.0ms
y
@-inf
((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z)
1.0ms
x
@-inf
((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z)
1.0ms
x
@0
((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z)

rewrite52.0ms (2.7%)

Memory
25.0MiB live, 70.4MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109476
0115433
0505401
Stop Event
1×iter-limit
1×iter-limit
1×iter-limit
1×unsound
1×iter-limit
Counts
38 → 57
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
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (sqrt z))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 x))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* y (sqrt z)) #s(hole binary64 (* y (sqrt z))))
#s(approx y #s(hole binary64 y))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (sqrt z) #s(hole binary64 (sqrt z)))
#s(approx z #s(hole binary64 z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (* y (sqrt z)) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
Outputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #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 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y))) (-.f64 x (*.f64 (sqrt.f64 z) y)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y)) (*.f64 x (*.f64 (sqrt.f64 z) y)))))
(fma.f64 (sqrt.f64 z) y x)
(fma.f64 y (sqrt.f64 z) x)
(-.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)))
(+.f64 (*.f64 (sqrt.f64 z) y) x)
(+.f64 x (*.f64 (sqrt.f64 z) y))
x
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
y
(pow.f64 z #s(literal 1/2 binary64))
(sqrt.f64 z)
z
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y))
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x))
#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 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
#s(approx (+ x (* y (sqrt z))) x)
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x)))
#s(approx (+ x (* y (sqrt z))) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1 binary64)) x)))
#s(approx (* y (sqrt z)) (*.f64 (sqrt.f64 z) y))
#s(approx y y)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y))
#s(approx (+ x (* y (sqrt z))) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)))
#s(approx (+ x (* y (sqrt z))) (neg.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) y)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (sqrt z) (sqrt.f64 z))
#s(approx z z)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) z))
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal -1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 x z) #s(literal -1/2 binary64))) z)))
#s(approx (+ x (* y (sqrt z))) (neg.f64 (*.f64 y (neg.f64 (sqrt.f64 z)))))
#s(approx (+ x (* y (sqrt z))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (neg.f64 (/.f64 x z))) z)))
#s(approx (* y (sqrt z)) (neg.f64 (*.f64 y (neg.f64 (sqrt.f64 z)))))
#s(approx (sqrt z) (neg.f64 (neg.f64 (sqrt.f64 z))))

eval9.0ms (0.5%)

Memory
-23.5MiB live, 22.8MiB allocated; 3ms collecting garbage
Compiler

Compiled 870 to 181 computations (79.2% saved)

prune4.0ms (0.2%)

Memory
7.4MiB live, 7.4MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New50656
Fresh000
Picked101
Done000
Total51657
Accuracy
99.9%
Counts
57 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
86.9%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)))
▶47.0%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
▶84.9%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) z))
▶85.7%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y))
▶54.5%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 206 to 172 computations (16.5% saved)

series38.0ms (2%)

Memory
21.8MiB live, 72.6MiB allocated; 5ms collecting garbage
Counts
24 → 101
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 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 z) y)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z)))
(+.f64 (/.f64 x y) (sqrt.f64 z))
(/.f64 x y)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) z))
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) z)
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
#s(literal 1 binary64)
(/.f64 x z)
Outputs
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (sqrt z))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* 1/2 (sqrt z))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (sqrt z)))
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (+ (sqrt z) (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z))))
#s(approx (/ x z) #s(hole binary64 (/ x z)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 x))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* x (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (/ x y)))
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* x (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ x z))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* x (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ x z)))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))))
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))))
#s(approx y #s(hole binary64 y))
#s(approx (* (* (sqrt z) y) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (sqrt z) y) #s(hole binary64 (* y (sqrt z))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) y)))
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) y)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* y (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt (/ 1 z))) (* -1/2 (/ x (* y z))))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (sqrt z) #s(hole binary64 (sqrt z)))
#s(approx z #s(hole binary64 z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* 1/2 (* y (+ (sqrt z) (/ x y))))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* 1/2 (+ (sqrt z) (/ x y)))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ (+ x (* y (sqrt z))) z))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z)))
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (sqrt (/ 1 z))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* z (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))))))
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* z (+ (sqrt (/ 1 z)) (/ x (* y z))))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (* (* (sqrt z) y) 1/2) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (sqrt z) y) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* -1/2 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x (* y z))) (* 1/2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))))
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x (* y z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))))
Calls

9 calls:

TimeVariablePointExpression
13.0ms
y
@-inf
((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (sqrt z) y) 1/2) (* (sqrt z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) (+ (/ x y) (sqrt z)) (/ x y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ 1 (sqrt z)) 1 (/ x z))
4.0ms
z
@-inf
((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (sqrt z) y) 1/2) (* (sqrt z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) (+ (/ x y) (sqrt z)) (/ x y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ 1 (sqrt z)) 1 (/ x z))
4.0ms
x
@inf
((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (sqrt z) y) 1/2) (* (sqrt z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) (+ (/ x y) (sqrt z)) (/ x y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ 1 (sqrt z)) 1 (/ x z))
3.0ms
x
@-inf
((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (sqrt z) y) 1/2) (* (sqrt z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) (+ (/ x y) (sqrt z)) (/ x y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ 1 (sqrt z)) 1 (/ x z))
3.0ms
z
@0
((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (sqrt z) y) 1/2) (* (sqrt z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) (+ (/ x y) (sqrt z)) (/ x y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ 1 (sqrt z)) 1 (/ x z))

rewrite85.0ms (4.5%)

Memory
-11.3MiB live, 80.8MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02792127
03051942
011861928
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
125 → 202
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 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 z) y)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z)))
(+.f64 (/.f64 x y) (sqrt.f64 z))
(/.f64 x y)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) z))
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) z)
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
#s(literal 1 binary64)
(/.f64 x z)
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (sqrt z))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* 1/2 (sqrt z))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (sqrt z)))
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (+ (sqrt z) (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z))))
#s(approx (/ x z) #s(hole binary64 (/ x z)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 x))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* x (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (/ x y)))
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* x (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ x z))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* x (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ x z)))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))))
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))))
#s(approx y #s(hole binary64 y))
#s(approx (* (* (sqrt z) y) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (sqrt z) y) #s(hole binary64 (* y (sqrt z))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) y)))
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) y)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* y (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt (/ 1 z))) (* -1/2 (/ x (* y z))))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (sqrt z) #s(hole binary64 (sqrt z)))
#s(approx z #s(hole binary64 z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* 1/2 (* y (+ (sqrt z) (/ x y))))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* 1/2 (+ (sqrt z) (/ x y)))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ (+ x (* y (sqrt z))) z))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z)))
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (sqrt (/ 1 z))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* z (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))))))
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* z (+ (sqrt (/ 1 z)) (/ x (* y z))))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (* (* (sqrt z) y) 1/2) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (sqrt z) y) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* -1/2 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x (* y z))) (* 1/2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))))
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x (* y z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))))
Outputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #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 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y))) (-.f64 x (*.f64 (sqrt.f64 z) y)))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y)) (*.f64 x x)) (-.f64 (*.f64 (sqrt.f64 z) y) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y)) (*.f64 x (*.f64 (sqrt.f64 z) y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 z) y) x))))
(fma.f64 (sqrt.f64 z) y x)
(fma.f64 y (sqrt.f64 z) x)
(-.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)))
(+.f64 (*.f64 (sqrt.f64 z) y) x)
(+.f64 x (*.f64 (sqrt.f64 z) y))
(pow.f64 z #s(literal 1/2 binary64))
(sqrt.f64 z)
z
y
x
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z))
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z))))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))
(*.f64 (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y) #s(literal 1/2 binary64))
(*.f64 (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal 1/2 binary64)) y)
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y))
(*.f64 y (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) y))
(fma.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 y (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) y))
(+.f64 (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.f64 y (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z)))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 z) #s(literal 1/2 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(+.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 z)) (*.f64 (/.f64 x y) (/.f64 x y))) (-.f64 (sqrt.f64 z) (/.f64 x y)))
(/.f64 (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (sqrt.f64 z) (sqrt.f64 z))) (-.f64 (/.f64 x y) (sqrt.f64 z)))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 z) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (sqrt.f64 z) (/.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 3 binary64))) (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 z)) (*.f64 (/.f64 x y) (sqrt.f64 z)))))
(+.f64 (/.f64 x y) (sqrt.f64 z))
(+.f64 (sqrt.f64 z) (/.f64 x y))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)) #s(literal 1/2 binary64)) z))
(*.f64 (*.f64 (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)) #s(literal 1/2 binary64)) z)
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)) z))
(*.f64 z (*.f64 (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) #s(literal 1/2 binary64)) z (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z))
(fma.f64 z (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) #s(literal 1/2 binary64)) (*.f64 z (*.f64 (/.f64 x z) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) #s(literal 1/2 binary64)) z) (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z))
(+.f64 (*.f64 z (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) #s(literal 1/2 binary64))) (*.f64 z (*.f64 (/.f64 x z) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) #s(literal 1/2 binary64))) (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) #s(literal 1/2 binary64) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x z) (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 x z)))
(+.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y)) (*.f64 (/.f64 x z) (/.f64 x z))) (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) (/.f64 x z)))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) (-.f64 (*.f64 (/.f64 x z) (/.f64 x z)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) (/.f64 x z)))))
(fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z))
(fma.f64 y (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 x z))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) (/.f64 x z))
(+.f64 (/.f64 x z) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y))
(pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
(sqrt.f64 (pow.f64 z #s(literal -1 binary64)))
#s(literal 1 binary64)
(/.f64 (neg.f64 x) (neg.f64 z))
(/.f64 x z)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (sqrt.f64 z) y x))
#s(approx x x)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal 1/2 binary64)))
#s(approx (+ (/ x y) (sqrt z)) (sqrt.f64 z))
#s(approx (+ (/ x y) (sqrt z)) (+.f64 (/.f64 x y) (sqrt.f64 z)))
#s(approx (/ x y) (/.f64 x y))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (*.f64 (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)))
#s(approx (/ x z) (/.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 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
#s(approx (+ (* (sqrt z) y) x) x)
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) 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 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (+ (/ x y) (sqrt z)) (/.f64 x y))
#s(approx (+ (/ x y) (sqrt z)) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) x))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) z)) x))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 x z))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (fma.f64 (/.f64 y x) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x)))
#s(approx (+ (* (sqrt z) y) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1 binary64)) x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x)))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x)))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) y)) x)))
#s(approx (+ (/ x y) (sqrt z)) (neg.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z))) (pow.f64 y #s(literal -1 binary64))) x)))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x)))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) x)) (/.f64 #s(literal 1/2 binary64) z)) x)))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) x)) (pow.f64 z #s(literal -1 binary64))) x)))
#s(approx y y)
#s(approx (* (* (sqrt z) y) 1/2) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
#s(approx (* (sqrt z) y) (*.f64 (sqrt.f64 z) y))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) (/.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) y))
#s(approx (+ (/ x y) (sqrt z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) y))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z))))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (/.f64 x y) z) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) y))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (+.f64 (/.f64 (/.f64 x y) z) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) y))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)))
#s(approx (+ (* (sqrt z) y) x) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (neg.f64 (sqrt.f64 z))) y)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (/.f64 x y) z) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) y)))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (neg.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) z) #s(literal -1 binary64) (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) y)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (sqrt z) (sqrt.f64 z))
#s(approx z z)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) z) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))
#s(approx (/ 1 (sqrt z)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)) #s(literal 1/2 binary64)) z))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)) z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)) #s(literal 1/2 binary64)) z))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) (*.f64 (*.f64 (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)) #s(literal 1/2 binary64)) z))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (/.f64 x y) z) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) z))
#s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 (/.f64 x y) z) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) z))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 (*.f64 (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)) #s(literal 1/2 binary64)) z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal -1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (neg.f64 (*.f64 (fma.f64 (*.f64 y (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) z)))
#s(approx (+ (* (sqrt z) y) x) (neg.f64 (*.f64 y (neg.f64 (sqrt.f64 z)))))
#s(approx (+ (* (sqrt z) y) x) (neg.f64 (*.f64 (fma.f64 y (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) (neg.f64 (/.f64 x z))) z)))
#s(approx (sqrt z) (neg.f64 (neg.f64 (sqrt.f64 z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal -1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (neg.f64 (*.f64 (fma.f64 (*.f64 y (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) z)))
#s(approx (* (* (sqrt z) y) 1/2) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal -1/2 binary64)))
#s(approx (* (sqrt z) y) (neg.f64 (*.f64 y (neg.f64 (sqrt.f64 z)))))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal -1/2 binary64)))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) (neg.f64 (*.f64 (fma.f64 (*.f64 y (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) z)))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) (*.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1/2 binary64)))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) (neg.f64 (*.f64 (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 x y) z) #s(literal -1/2 binary64))) z)))
#s(approx (+ (/ x y) (sqrt z)) (neg.f64 (neg.f64 (sqrt.f64 z))))
#s(approx (+ (/ x y) (sqrt z)) (neg.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) z) #s(literal -1 binary64) (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) z)))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z))) z)))

eval45.0ms (2.4%)

Memory
-5.7MiB live, 40.4MiB allocated; 3ms collecting garbage
Compiler

Compiled 5 520 to 749 computations (86.4% saved)

prune27.0ms (1.4%)

Memory
-9.8MiB live, 42.1MiB allocated; 4ms collecting garbage
Pruning

12 alts after pruning (7 fresh and 5 done)

PrunedKeptTotal
New2167223
Fresh101
Picked055
Done000
Total21712229
Accuracy
100.0%
Counts
229 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
▶86.9%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
✓47.0%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
✓84.9%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) z))
▶84.9%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (pow.f64 z #s(literal -1 binary64))) y (/.f64 x z))) z))
52.7%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 3 binary64))) (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 z)) (*.f64 (/.f64 x y) (sqrt.f64 z)))))) y))
✓85.7%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y))
▶77.3%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 (/.f64 x y) z) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) z))) y))
▶84.9%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))) z))
75.6%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (fma.f64 (/.f64 y x) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) x))) z))
▶80.6%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (* 1/2 (+ (/ x y) (sqrt z))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) x)) y))
✓54.5%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 539 to 381 computations (29.3% saved)

series56.0ms (2.9%)

Memory
-6.3MiB live, 86.4MiB allocated; 4ms collecting garbage
Counts
42 → 196
Calls
Call 1
Inputs
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
(/.f64 y x)
y
x
(sqrt.f64 z)
z
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))) z))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))) z)
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z)))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))
(/.f64 (fma.f64 (sqrt.f64 z) y x) z)
(fma.f64 (sqrt.f64 z) y x)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (pow.f64 z #s(literal -1 binary64))) y (/.f64 x z))) z))
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (pow.f64 z #s(literal -1 binary64))) y (/.f64 x z))) z)
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (pow.f64 z #s(literal -1 binary64))) y (/.f64 x z)))
(fma.f64 (sqrt.f64 (pow.f64 z #s(literal -1 binary64))) y (/.f64 x z))
(sqrt.f64 (pow.f64 z #s(literal -1 binary64)))
(pow.f64 z #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 x z)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (* 1/2 (+ (/ x y) (sqrt z))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) x)) y))
(*.f64 #s(approx (* 1/2 (+ (/ x y) (sqrt z))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) x)) y)
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) x))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) y)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 (/.f64 x y) z) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) z))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 (/.f64 x y) z) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) z))) y)
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 (/.f64 x y) z) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) z)))
#s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 (/.f64 x y) z) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) z))
(*.f64 (+.f64 (/.f64 (/.f64 x y) z) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) z)
(+.f64 (/.f64 (/.f64 x y) z) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))
(/.f64 (/.f64 x y) z)
(/.f64 x y)
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64))
Outputs
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (sqrt z))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* y (sqrt z))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* (/ y x) (sqrt z))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (/ (+ x (* y (sqrt z))) x)))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z))))
#s(approx (* (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) z) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z))))))
#s(approx (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) #s(hole binary64 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))
#s(approx (+ (* (sqrt (pow z -1)) y) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (+ (* (sqrt (pow z -1)) y) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z))))
#s(approx (/ x z) #s(hole binary64 (/ x z)))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* 1/2 (sqrt z))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) x) #s(hole binary64 (* 1/2 (sqrt z))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) x) #s(hole binary64 (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (* 1/2 (* (/ 1 x) (sqrt z)))))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (/ (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) x)))
#s(approx (* 1/2 (pow x -1)) #s(hole binary64 (/ 1/2 x)))
#s(approx (pow x -1) #s(hole binary64 (/ 1 x)))
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (sqrt z)))
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (+ (sqrt z) (/ x y))))
#s(approx (* (+ (/ (/ x y) z) (pow (sqrt z) -1)) z) #s(hole binary64 (sqrt z)))
#s(approx (* (+ (/ (/ x y) z) (pow (sqrt z) -1)) z) #s(hole binary64 (+ (sqrt z) (/ x y))))
#s(approx (+ (/ (/ x y) z) (pow (sqrt z) -1)) #s(hole binary64 (sqrt (/ 1 z))))
#s(approx (+ (/ (/ x y) z) (pow (sqrt z) -1)) #s(hole binary64 (+ (sqrt (/ 1 z)) (/ x (* y z)))))
#s(approx (/ (/ x y) z) #s(hole binary64 (/ x (* y z))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 x))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (+ 1 (* (/ y x) (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ x z))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* x (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ x z)))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (/ x z)))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (* (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) z) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) z) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ x z))))
#s(approx (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) #s(hole binary64 (* x (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))
#s(approx (+ (* (sqrt (pow z -1)) y) (/ x z)) #s(hole binary64 (/ x z)))
#s(approx (+ (* (sqrt (pow z -1)) y) (/ x z)) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* x (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) x) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) x) #s(hole binary64 (* x (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (/ x y)))
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* x (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))))
#s(approx (* (+ (/ (/ x y) z) (pow (sqrt z) -1)) z) #s(hole binary64 (/ x y)))
#s(approx (* (+ (/ (/ x y) z) (pow (sqrt z) -1)) z) #s(hole binary64 (* x (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))))
#s(approx (+ (/ (/ x y) z) (pow (sqrt z) -1)) #s(hole binary64 (/ x (* y z))))
#s(approx (+ (/ (/ x y) z) (pow (sqrt z) -1)) #s(hole binary64 (* x (+ (* (/ 1 x) (sqrt (/ 1 z))) (/ 1 (* y z))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))))
#s(approx (* (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) z) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#s(approx (+ (* (sqrt (pow z -1)) y) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))))
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))))
#s(approx (* (+ (/ (/ x y) z) (pow (sqrt z) -1)) z) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))))
#s(approx (+ (/ (/ x y) z) (pow (sqrt z) -1)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ 1 x) (sqrt (/ 1 z)))) (/ 1 (* y z)))))))
#s(approx y #s(hole binary64 y))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) y)))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) x) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) y)))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) y)))
#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 y)))
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) y)))
#s(approx (* (+ (/ (/ x y) z) (pow (sqrt z) -1)) z) #s(hole binary64 (/ (+ x (* y (sqrt z))) y)))
#s(approx (+ (/ (/ x y) z) (pow (sqrt z) -1)) #s(hole binary64 (/ (+ (* y (sqrt (/ 1 z))) (/ x z)) y)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* y (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z))))))
#s(approx (* (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) z) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) #s(hole binary64 (* y (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))))))
#s(approx (+ (* (sqrt (pow z -1)) y) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z))))))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt (/ 1 z))) (* -1/2 (/ x (* y z))))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))))
#s(approx (* (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) z) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt (/ 1 z))) (* -1/2 (/ x (* y z))))))))
#s(approx (+ (* (sqrt (pow z -1)) y) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (sqrt z) #s(hole binary64 (sqrt z)))
#s(approx z #s(hole binary64 z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ (+ x (* y (sqrt z))) z))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z)))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (/ (+ x (* y (sqrt z))) z)))
#s(approx (* (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ (+ x (* y (sqrt z))) z))))
#s(approx (+ (* (sqrt (pow z -1)) y) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z)))
#s(approx (sqrt (pow z -1)) #s(hole binary64 (sqrt (/ 1 z))))
#s(approx (pow z -1) #s(hole binary64 (/ 1 z)))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* 1/2 (* y (+ (sqrt z) (/ x y))))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* 1/2 (+ (sqrt z) (/ x y)))))
#s(approx (+ (/ (/ x y) z) (pow (sqrt z) -1)) #s(hole binary64 (/ (+ (sqrt z) (/ x y)) z)))
#s(approx (pow (sqrt z) -1) #s(hole binary64 (sqrt (/ 1 z))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) z) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* z (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) x) #s(hole binary64 (* z (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))))))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (* z (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y z)))))))
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* z (+ (sqrt (/ 1 z)) (/ x (* y z))))))
#s(approx (* (+ (/ (/ x y) z) (pow (sqrt z) -1)) z) #s(hole binary64 (* z (+ (sqrt (/ 1 z)) (/ x (* y z))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))))
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (/ x z))))
#s(approx (* (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) z) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))))
#s(approx (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) #s(hole binary64 (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
#s(approx (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) #s(hole binary64 (+ (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))
#s(approx (+ (* (sqrt (pow z -1)) y) (/ x z)) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))
#s(approx (+ (* (sqrt (pow z -1)) y) (/ x z)) #s(hole binary64 (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z))))
#s(approx (sqrt (pow z -1)) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* -1/2 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x (* y z))) (* 1/2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) x) #s(hole binary64 (* -1/2 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) x) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x (* y z))) (* 1/2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (* -1/2 (* (/ (pow (sqrt -1) 2) x) (sqrt z)))))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (pow (sqrt -1) 2) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y z))))))))
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x (* y z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))))
#s(approx (* (+ (/ (/ x y) z) (pow (sqrt z) -1)) z) #s(hole binary64 (* -1 (* z (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))))
Calls

9 calls:

TimeVariablePointExpression
10.0ms
y
@-inf
((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) y x (sqrt z) z 1 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (+ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) z) (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) (+ (* (sqrt (pow z -1)) y) (/ x z)) (sqrt (pow z -1)) (pow z -1) -1 (/ x z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) x) (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (* 1/2 (pow x -1)) (pow x -1) (/ 1/2 y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) (+ (/ x y) (sqrt z)) (* (+ (/ (/ x y) z) (pow (sqrt z) -1)) z) (+ (/ (/ x y) z) (pow (sqrt z) -1)) (/ (/ x y) z) (/ x y) (pow (sqrt z) -1))
9.0ms
z
@-inf
((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) y x (sqrt z) z 1 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (+ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) z) (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) (+ (* (sqrt (pow z -1)) y) (/ x z)) (sqrt (pow z -1)) (pow z -1) -1 (/ x z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) x) (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (* 1/2 (pow x -1)) (pow x -1) (/ 1/2 y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) (+ (/ x y) (sqrt z)) (* (+ (/ (/ x y) z) (pow (sqrt z) -1)) z) (+ (/ (/ x y) z) (pow (sqrt z) -1)) (/ (/ x y) z) (/ x y) (pow (sqrt z) -1))
6.0ms
y
@inf
((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) y x (sqrt z) z 1 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (+ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) z) (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) (+ (* (sqrt (pow z -1)) y) (/ x z)) (sqrt (pow z -1)) (pow z -1) -1 (/ x z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) x) (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (* 1/2 (pow x -1)) (pow x -1) (/ 1/2 y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) (+ (/ x y) (sqrt z)) (* (+ (/ (/ x y) z) (pow (sqrt z) -1)) z) (+ (/ (/ x y) z) (pow (sqrt z) -1)) (/ (/ x y) z) (/ x y) (pow (sqrt z) -1))
6.0ms
x
@-inf
((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) y x (sqrt z) z 1 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (+ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) z) (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) (+ (* (sqrt (pow z -1)) y) (/ x z)) (sqrt (pow z -1)) (pow z -1) -1 (/ x z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) x) (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (* 1/2 (pow x -1)) (pow x -1) (/ 1/2 y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) (+ (/ x y) (sqrt z)) (* (+ (/ (/ x y) z) (pow (sqrt z) -1)) z) (+ (/ (/ x y) z) (pow (sqrt z) -1)) (/ (/ x y) z) (/ x y) (pow (sqrt z) -1))
5.0ms
z
@0
((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) y x (sqrt z) z 1 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (+ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) z) (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) (+ (* (sqrt (pow z -1)) y) (/ x z)) (sqrt (pow z -1)) (pow z -1) -1 (/ x z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) x) (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (* 1/2 (pow x -1)) (pow x -1) (/ 1/2 y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) (+ (/ x y) (sqrt z)) (* (+ (/ (/ x y) z) (pow (sqrt z) -1)) z) (+ (/ (/ x y) z) (pow (sqrt z) -1)) (/ (/ x y) z) (/ x y) (pow (sqrt z) -1))

rewrite113.0ms (5.9%)

Memory
15.7MiB live, 114.9MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04574567
05014032
017584005
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
238 → 352
Calls
Call 1
Inputs
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
(/.f64 y x)
y
x
(sqrt.f64 z)
z
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))) z))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))) z)
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z)))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))
(/.f64 (fma.f64 (sqrt.f64 z) y x) z)
(fma.f64 (sqrt.f64 z) y x)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (pow.f64 z #s(literal -1 binary64))) y (/.f64 x z))) z))
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (pow.f64 z #s(literal -1 binary64))) y (/.f64 x z))) z)
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (pow.f64 z #s(literal -1 binary64))) y (/.f64 x z)))
(fma.f64 (sqrt.f64 (pow.f64 z #s(literal -1 binary64))) y (/.f64 x z))
(sqrt.f64 (pow.f64 z #s(literal -1 binary64)))
(pow.f64 z #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 x z)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (* 1/2 (+ (/ x y) (sqrt z))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) x)) y))
(*.f64 #s(approx (* 1/2 (+ (/ x y) (sqrt z))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) x)) y)
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) x))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) y)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 (/.f64 x y) z) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) z))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 (/.f64 x y) z) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) z))) y)
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 (/.f64 x y) z) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) z)))
#s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 (/.f64 x y) z) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) z))
(*.f64 (+.f64 (/.f64 (/.f64 x y) z) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) z)
(+.f64 (/.f64 (/.f64 x y) z) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))
(/.f64 (/.f64 x y) z)
(/.f64 x y)
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (sqrt z))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* y (sqrt z))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* (/ y x) (sqrt z))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (/ (+ x (* y (sqrt z))) x)))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z))))
#s(approx (* (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) z) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z))))))
#s(approx (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) #s(hole binary64 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))
#s(approx (+ (* (sqrt (pow z -1)) y) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (+ (* (sqrt (pow z -1)) y) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z))))
#s(approx (/ x z) #s(hole binary64 (/ x z)))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* 1/2 (sqrt z))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) x) #s(hole binary64 (* 1/2 (sqrt z))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) x) #s(hole binary64 (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (* 1/2 (* (/ 1 x) (sqrt z)))))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (/ (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) x)))
#s(approx (* 1/2 (pow x -1)) #s(hole binary64 (/ 1/2 x)))
#s(approx (pow x -1) #s(hole binary64 (/ 1 x)))
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (sqrt z)))
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (+ (sqrt z) (/ x y))))
#s(approx (* (+ (/ (/ x y) z) (pow (sqrt z) -1)) z) #s(hole binary64 (sqrt z)))
#s(approx (* (+ (/ (/ x y) z) (pow (sqrt z) -1)) z) #s(hole binary64 (+ (sqrt z) (/ x y))))
#s(approx (+ (/ (/ x y) z) (pow (sqrt z) -1)) #s(hole binary64 (sqrt (/ 1 z))))
#s(approx (+ (/ (/ x y) z) (pow (sqrt z) -1)) #s(hole binary64 (+ (sqrt (/ 1 z)) (/ x (* y z)))))
#s(approx (/ (/ x y) z) #s(hole binary64 (/ x (* y z))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 x))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (+ 1 (* (/ y x) (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ x z))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* x (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ x z)))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (/ x z)))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (* (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) z) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) z) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ x z))))
#s(approx (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) #s(hole binary64 (* x (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))
#s(approx (+ (* (sqrt (pow z -1)) y) (/ x z)) #s(hole binary64 (/ x z)))
#s(approx (+ (* (sqrt (pow z -1)) y) (/ x z)) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* x (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) x) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) x) #s(hole binary64 (* x (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (/ x y)))
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* x (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))))
#s(approx (* (+ (/ (/ x y) z) (pow (sqrt z) -1)) z) #s(hole binary64 (/ x y)))
#s(approx (* (+ (/ (/ x y) z) (pow (sqrt z) -1)) z) #s(hole binary64 (* x (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))))
#s(approx (+ (/ (/ x y) z) (pow (sqrt z) -1)) #s(hole binary64 (/ x (* y z))))
#s(approx (+ (/ (/ x y) z) (pow (sqrt z) -1)) #s(hole binary64 (* x (+ (* (/ 1 x) (sqrt (/ 1 z))) (/ 1 (* y z))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))))
#s(approx (* (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) z) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#s(approx (+ (* (sqrt (pow z -1)) y) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))))
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))))
#s(approx (* (+ (/ (/ x y) z) (pow (sqrt z) -1)) z) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))))
#s(approx (+ (/ (/ x y) z) (pow (sqrt z) -1)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ 1 x) (sqrt (/ 1 z)))) (/ 1 (* y z)))))))
#s(approx y #s(hole binary64 y))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) y)))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) x) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) y)))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) y)))
#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 y)))
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) y)))
#s(approx (* (+ (/ (/ x y) z) (pow (sqrt z) -1)) z) #s(hole binary64 (/ (+ x (* y (sqrt z))) y)))
#s(approx (+ (/ (/ x y) z) (pow (sqrt z) -1)) #s(hole binary64 (/ (+ (* y (sqrt (/ 1 z))) (/ x z)) y)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* y (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z))))))
#s(approx (* (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) z) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) #s(hole binary64 (* y (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))))))
#s(approx (+ (* (sqrt (pow z -1)) y) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z))))))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt (/ 1 z))) (* -1/2 (/ x (* y z))))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))))
#s(approx (* (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) z) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt (/ 1 z))) (* -1/2 (/ x (* y z))))))))
#s(approx (+ (* (sqrt (pow z -1)) y) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (sqrt z) #s(hole binary64 (sqrt z)))
#s(approx z #s(hole binary64 z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ (+ x (* y (sqrt z))) z))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z)))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (/ (+ x (* y (sqrt z))) z)))
#s(approx (* (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ (+ x (* y (sqrt z))) z))))
#s(approx (+ (* (sqrt (pow z -1)) y) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z)))
#s(approx (sqrt (pow z -1)) #s(hole binary64 (sqrt (/ 1 z))))
#s(approx (pow z -1) #s(hole binary64 (/ 1 z)))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* 1/2 (* y (+ (sqrt z) (/ x y))))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* 1/2 (+ (sqrt z) (/ x y)))))
#s(approx (+ (/ (/ x y) z) (pow (sqrt z) -1)) #s(hole binary64 (/ (+ (sqrt z) (/ x y)) z)))
#s(approx (pow (sqrt z) -1) #s(hole binary64 (sqrt (/ 1 z))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) z) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* z (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) x) #s(hole binary64 (* z (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))))))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (* z (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y z)))))))
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* z (+ (sqrt (/ 1 z)) (/ x (* y z))))))
#s(approx (* (+ (/ (/ x y) z) (pow (sqrt z) -1)) z) #s(hole binary64 (* z (+ (sqrt (/ 1 z)) (/ x (* y z))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))))
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (/ x z))))
#s(approx (* (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) z) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))))
#s(approx (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) #s(hole binary64 (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
#s(approx (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) #s(hole binary64 (+ (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))
#s(approx (+ (* (sqrt (pow z -1)) y) (/ x z)) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))
#s(approx (+ (* (sqrt (pow z -1)) y) (/ x z)) #s(hole binary64 (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z))))
#s(approx (sqrt (pow z -1)) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* -1/2 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x (* y z))) (* 1/2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) x) #s(hole binary64 (* -1/2 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) x) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x (* y z))) (* 1/2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (* -1/2 (* (/ (pow (sqrt -1) 2) x) (sqrt z)))))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (pow (sqrt -1) 2) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y z))))))))
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x (* y z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))))
#s(approx (* (+ (/ (/ x y) z) (pow (sqrt z) -1)) z) #s(hole binary64 (* -1 (* z (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))))
Outputs
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 y (sqrt.f64 z)) x)))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) x))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (/.f64 (*.f64 y (sqrt.f64 z)) x)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1 binary64)) (-.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.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 (+.f64 (pow.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) (/.f64 (*.f64 y (sqrt.f64 z)) x) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 (*.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)))))
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 y x)) (sqrt.f64 z)))
(+.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 (neg.f64 y) (neg.f64 x))
(/.f64 y x)
y
x
(pow.f64 z #s(literal 1/2 binary64))
(sqrt.f64 z)
z
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 #s(approx (+ (* (sqrt (pow z -1)) y) (/ x z)) (/.f64 (fma.f64 y (sqrt.f64 z) x) z)) #s(literal 1/2 binary64)) z))
(*.f64 (*.f64 #s(approx (+ (* (sqrt (pow z -1)) y) (/ x z)) (/.f64 (fma.f64 y (sqrt.f64 z) x) z)) #s(literal 1/2 binary64)) z)
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (+ (* (sqrt (pow z -1)) y) (/ x z)) (/.f64 (fma.f64 y (sqrt.f64 z) x) z)) z))
(*.f64 z (*.f64 #s(approx (+ (* (sqrt (pow z -1)) y) (/ x z)) (/.f64 (fma.f64 y (sqrt.f64 z) x) z)) #s(literal 1/2 binary64)))
(*.f64 #s(approx (+ (* (sqrt (pow z -1)) y) (/ x z)) (/.f64 (fma.f64 y (sqrt.f64 z) x) z)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (sqrt (pow z -1)) y) (/ x z)) (/.f64 (fma.f64 y (sqrt.f64 z) x) z)))
#s(approx (+ (* (sqrt (pow z -1)) y) (/ x z)) (/.f64 (fma.f64 y (sqrt.f64 z) x) z))
(/.f64 (neg.f64 (fma.f64 y (sqrt.f64 z) x)) (neg.f64 z))
(/.f64 (fma.f64 y (sqrt.f64 z) x) z)
(+.f64 (/.f64 (*.f64 y (sqrt.f64 z)) z) (/.f64 x z))
(+.f64 (/.f64 x z) (/.f64 (*.f64 y (sqrt.f64 z)) z))
(/.f64 (-.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (*.f64 y (sqrt.f64 z))) (*.f64 x x)) (-.f64 (*.f64 y (sqrt.f64 z)) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y (sqrt.f64 z)) (*.f64 y (sqrt.f64 z)))) (-.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (sqrt.f64 z)) (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (sqrt.f64 z)) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (*.f64 y (sqrt.f64 z))) (*.f64 x (*.f64 y (sqrt.f64 z))))))
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 (sqrt.f64 z) y x)
(-.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
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#s(approx y y)
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#s(approx (/ 1/2 y) (/.f64 #s(literal 1/2 binary64) y))
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#s(approx (sqrt z) (sqrt.f64 z))
#s(approx z z)
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#s(approx (sqrt (pow z -1)) (pow.f64 z #s(literal -1/2 binary64)))
#s(approx (pow z -1) (pow.f64 z #s(literal -1 binary64)))
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#s(approx (sqrt (pow z -1)) (pow.f64 z #s(literal -1/2 binary64)))
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#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z)) z))
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#s(approx (* 1/2 (+ (/ x y) (sqrt z))) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (/.f64 x y) z) (pow.f64 z #s(literal -1/2 binary64)))) z))
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#s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 (/.f64 x y) z) (pow.f64 z #s(literal -1/2 binary64))) z))
#s(approx (* (+ (/ (/ x y) z) (pow (sqrt z) -1)) z) (*.f64 (+.f64 (/.f64 (/.f64 x y) z) (pow.f64 z #s(literal -1/2 binary64))) z))
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#s(approx (+ (* (sqrt z) y) x) (neg.f64 (*.f64 (fma.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (neg.f64 (/.f64 x z))) z)))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (neg.f64 (*.f64 y (neg.f64 (sqrt.f64 z)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (neg.f64 (*.f64 (fma.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (neg.f64 (/.f64 x z))) z)))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (neg.f64 (/.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) x)))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64)))) x) (pow.f64 z #s(literal -1 binary64))) z)))
#s(approx (sqrt z) (neg.f64 (neg.f64 (sqrt.f64 z))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal -1/2 binary64)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (neg.f64 (*.f64 (fma.f64 (*.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) z)))
#s(approx (* (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) z) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z))) z)))
#s(approx (/ (+ (* (sqrt z) y) x) z) (neg.f64 (*.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) (fma.f64 (*.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64)))) #s(literal -1 binary64) (/.f64 x z)))
#s(approx (* (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) z) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) z) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (/.f64 x z))) z)))
#s(approx (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) (*.f64 (*.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ (* (sqrt (pow z -1)) y) (/ x z))) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (/.f64 x z))))
#s(approx (+ (* (sqrt (pow z -1)) y) (/ x z)) (*.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64)))))
#s(approx (+ (* (sqrt (pow z -1)) y) (/ x z)) (fma.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (/.f64 x z)))
#s(approx (sqrt (pow z -1)) (neg.f64 (pow.f64 z #s(literal -1/2 binary64))))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal -1/2 binary64)))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) (neg.f64 (*.f64 (fma.f64 (*.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) z)))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) (*.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1/2 binary64)))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) (neg.f64 (*.f64 (fma.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) z))) z)))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) x) (*.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1/2 binary64)))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) x) (neg.f64 (*.f64 (fma.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) z))) z)))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (*.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) #s(literal -1/2 binary64)))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 y z))) z)))
#s(approx (+ (/ x y) (sqrt z)) (neg.f64 (neg.f64 (sqrt.f64 z))))
#s(approx (+ (/ x y) (sqrt z)) (neg.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) z) #s(literal -1 binary64) (neg.f64 (pow.f64 z #s(literal -1/2 binary64)))) z)))
#s(approx (* (+ (/ (/ x y) z) (pow (sqrt z) -1)) z) (neg.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) z) #s(literal -1 binary64) (neg.f64 (pow.f64 z #s(literal -1/2 binary64)))) z)))

eval41.0ms (2.2%)

Memory
13.5MiB live, 104.8MiB allocated; 8ms collecting garbage
Compiler

Compiled 11 882 to 1 553 computations (86.9% saved)

prune18.0ms (0.9%)

Memory
-8.3MiB live, 38.0MiB allocated; 3ms collecting garbage
Pruning

13 alts after pruning (6 fresh and 7 done)

PrunedKeptTotal
New3565361
Fresh112
Picked325
Done055
Total36013373
Accuracy
100.0%
Counts
373 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
✓86.9%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
✓47.0%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
✓84.9%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) z))
▶84.9%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) z))
52.7%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 3 binary64))) (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 z)) (*.f64 (/.f64 x y) (sqrt.f64 z)))))) y))
✓85.7%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y))
▶61.9%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 x y) z) (/.f64 (/.f64 x y) z))) (-.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z))) z))) y))
▶46.9%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 #s(approx (+ (/ (/ x y) z) (pow (sqrt z) -1)) (pow.f64 z #s(literal -1/2 binary64))) z))) y))
✓84.9%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))) z))
▶75.6%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(approx (/ (+ (* (sqrt z) y) x) z) (*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 y x) (pow.f64 z #s(literal -1 binary64))) x)))) z))
▶80.6%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (* 1/2 (+ (/ x y) (sqrt z))) (*.f64 (fma.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) x)) y))
✓54.5%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 618 to 415 computations (32.8% saved)

series71.0ms (3.7%)

Memory
-18.3MiB live, 171.5MiB allocated; 12ms collecting garbage
Counts
50 → 223
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) z))
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) z)
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))
#s(literal 1/2 binary64)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
y
(/.f64 x z)
x
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (* 1/2 (+ (/ x y) (sqrt z))) (*.f64 (fma.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) x)) y))
(*.f64 #s(approx (* 1/2 (+ (/ x y) (sqrt z))) (*.f64 (fma.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) x)) y)
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) (*.f64 (fma.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) x))
(*.f64 (fma.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) x)
(fma.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 z)
(/.f64 #s(literal 1/2 binary64) y)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 #s(approx (+ (/ (/ x y) z) (pow (sqrt z) -1)) (pow.f64 z #s(literal -1/2 binary64))) z))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 #s(approx (+ (/ (/ x y) z) (pow (sqrt z) -1)) (pow.f64 z #s(literal -1/2 binary64))) z))) y)
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 #s(approx (+ (/ (/ x y) z) (pow (sqrt z) -1)) (pow.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (/ x y) (sqrt z)) (*.f64 #s(approx (+ (/ (/ x y) z) (pow (sqrt z) -1)) (pow.f64 z #s(literal -1/2 binary64))) z))
(*.f64 #s(approx (+ (/ (/ x y) z) (pow (sqrt z) -1)) (pow.f64 z #s(literal -1/2 binary64))) z)
#s(approx (+ (/ (/ x y) z) (pow (sqrt z) -1)) (pow.f64 z #s(literal -1/2 binary64)))
(pow.f64 z #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(approx (/ (+ (* (sqrt z) y) x) z) (*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 y x) (pow.f64 z #s(literal -1 binary64))) x)))) z))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(approx (/ (+ (* (sqrt z) y) x) z) (*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 y x) (pow.f64 z #s(literal -1 binary64))) x)))) z)
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(approx (/ (+ (* (sqrt z) y) x) z) (*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 y x) (pow.f64 z #s(literal -1 binary64))) x))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(approx (/ (+ (* (sqrt z) y) x) z) (*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 y x) (pow.f64 z #s(literal -1 binary64))) x)))
#s(approx (/ (+ (* (sqrt z) y) x) z) (*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 y x) (pow.f64 z #s(literal -1 binary64))) x))
(*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 y x) (pow.f64 z #s(literal -1 binary64))) x)
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 y x) (pow.f64 z #s(literal -1 binary64)))
(/.f64 y x)
(pow.f64 z #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 x y) z) (/.f64 (/.f64 x y) z))) (-.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z))) z))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 x y) z) (/.f64 (/.f64 x y) z))) (-.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z))) z))) y)
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 x y) z) (/.f64 (/.f64 x y) z))) (-.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z))) z)))
#s(approx (+ (/ x y) (sqrt z)) (*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 x y) z) (/.f64 (/.f64 x y) z))) (-.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z))) z))
(*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 x y) z) (/.f64 (/.f64 x y) z))) (-.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z))) z)
(/.f64 (-.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 x y) z) (/.f64 (/.f64 x y) z))) (-.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z)))
(-.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 x y) z) (/.f64 (/.f64 x y) z)))
(*.f64 (/.f64 (/.f64 x y) z) (/.f64 (/.f64 x y) z))
(/.f64 (/.f64 x y) z)
(/.f64 x y)
(-.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z))
Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z))))))
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z))))
#s(approx (/ x z) #s(hole binary64 (/ x z)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* 1/2 (sqrt z))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) x) #s(hole binary64 (* 1/2 (sqrt z))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) x) #s(hole binary64 (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (* 1/2 (* (/ 1 x) (sqrt z)))))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (/ (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) x)))
#s(approx (* 1/2 (pow x -1)) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (sqrt z)))
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (+ (sqrt z) (/ x y))))
#s(approx (* (+ (/ (/ x y) z) (pow (sqrt z) -1)) z) #s(hole binary64 (sqrt z)))
#s(approx (* (+ (/ (/ x y) z) (pow (sqrt z) -1)) z) #s(hole binary64 (+ (sqrt z) (/ x y))))
#s(approx (+ (/ (/ x y) z) (pow (sqrt z) -1)) #s(hole binary64 (sqrt (/ 1 z))))
#s(approx (+ (/ (/ x y) z) (pow (sqrt z) -1)) #s(hole binary64 (+ (sqrt (/ 1 z)) (/ x (* y z)))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z))))
#s(approx (* (+ (* (pow z -1/2) (/ y x)) (pow z -1)) x) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (* (+ (* (pow z -1/2) (/ y x)) (pow z -1)) x) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z))))
#s(approx (+ (* (pow z -1/2) (/ y x)) (pow z -1)) #s(hole binary64 (* (/ y x) (sqrt (/ 1 z)))))
#s(approx (+ (* (pow z -1/2) (/ y x)) (pow z -1)) #s(hole binary64 (/ (+ (* y (sqrt (/ 1 z))) (/ x z)) x)))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx (* (/ (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (- (pow z -1/2) (/ (/ x y) z))) z) #s(hole binary64 (sqrt z)))
#s(approx (* (/ (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (- (pow z -1/2) (/ (/ x y) z))) z) #s(hole binary64 (+ (sqrt z) (/ x y))))
#s(approx (/ (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (- (pow z -1/2) (/ (/ x y) z))) #s(hole binary64 (sqrt (/ 1 z))))
#s(approx (/ (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (- (pow z -1/2) (/ (/ x y) z))) #s(hole binary64 (+ (sqrt (/ 1 z)) (/ x (* y z)))))
#s(approx (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) #s(hole binary64 (/ 1 z)))
#s(approx (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) #s(hole binary64 (+ (* -1 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (/ 1 z))))
#s(approx (* (/ (/ x y) z) (/ (/ x y) z)) #s(hole binary64 (/ (pow x 2) (* (pow y 2) (pow z 2)))))
#s(approx (/ (/ x y) z) #s(hole binary64 (/ x (* y z))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (- (pow z -1/2) (/ (/ x y) z)) #s(hole binary64 (sqrt (/ 1 z))))
#s(approx (- (pow z -1/2) (/ (/ x y) z)) #s(hole binary64 (+ (sqrt (/ 1 z)) (* -1 (/ x (* y z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ x z))))
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* x (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (/ x z)))
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#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* -1/2 (* (sqrt z) (pow (sqrt -1) 2)))))
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#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) x) #s(hole binary64 (* -1/2 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) x) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x (* y z))) (* 1/2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (* -1/2 (* (/ (pow (sqrt -1) 2) x) (sqrt z)))))
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#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
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#s(approx (pow z -1/2) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (/ x z))))
#s(approx (* (+ (* (pow z -1/2) (/ y x)) (pow z -1)) x) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))
#s(approx (* (+ (* (pow z -1/2) (/ y x)) (pow z -1)) x) #s(hole binary64 (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z))))
#s(approx (+ (* (pow z -1/2) (/ y x)) (pow z -1)) #s(hole binary64 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))))
#s(approx (+ (* (pow z -1/2) (/ y x)) (pow z -1)) #s(hole binary64 (+ (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))
#s(approx (* (/ (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (- (pow z -1/2) (/ (/ x y) z))) z) #s(hole binary64 (- (+ (sqrt z) (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z))))) (/ x (* y (pow (sqrt -1) 2))))))
#s(approx (* (/ (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (- (pow z -1/2) (/ (/ x y) z))) z) #s(hole binary64 (+ (sqrt z) (* -1 (/ (+ (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (/ (* x z) (* y (pow (sqrt -1) 2))))) y) (sqrt (/ 1 z)))) (* -1 (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (/ (* x z) (* y (pow (sqrt -1) 2)))))) z)))))
#s(approx (* (/ (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (- (pow z -1/2) (/ (/ x y) z))) z) #s(hole binary64 (+ (sqrt z) (* -1 (/ (+ (* -1 (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (/ (* x z) (* y (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (/ (* x z) (* y (pow (sqrt -1) 2))))) (* (pow y 2) (pow (sqrt -1) 2)))) (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (/ (* x z) (* y (pow (sqrt -1) 2))))) y) (sqrt z))) z))) z)))))
#s(approx (/ (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (- (pow z -1/2) (/ (/ x y) z))) #s(hole binary64 (* -1 (/ (+ (* -1 (sqrt z)) (* -1 (/ (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (/ (* x z) (* y (pow (sqrt -1) 2)))) z))) z))))
#s(approx (/ (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (- (pow z -1/2) (/ (/ x y) z))) #s(hole binary64 (* -1 (/ (+ (* -1 (sqrt z)) (* -1 (/ (- (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (/ (* x z) (* y (pow (sqrt -1) 2))))) y) (sqrt (/ 1 z)))) (/ (* x z) (* y (pow (sqrt -1) 2)))) z))) z))))
#s(approx (/ (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (- (pow z -1/2) (/ (/ x y) z))) #s(hole binary64 (* -1 (/ (+ (* -1 (sqrt z)) (* -1 (/ (- (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (- (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (/ (* x z) (* y (pow (sqrt -1) 2))))) (* (pow y 2) (pow (sqrt -1) 2))) (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (/ (* x z) (* y (pow (sqrt -1) 2))))) y) (sqrt z))) z))) (/ (* x z) (* y (pow (sqrt -1) 2)))) z))) z))))
#s(approx (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) #s(hole binary64 (* -1 (/ (- (/ (pow x 2) (* (pow y 2) z)) 1) z))))
#s(approx (- (pow z -1/2) (/ (/ x y) z)) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))
#s(approx (- (pow z -1/2) (/ (/ x y) z)) #s(hole binary64 (+ (* -1 (/ x (* y z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
Calls

9 calls:

TimeVariablePointExpression
10.0ms
x
@inf
((* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z)) (sqrt (/ 1 z)) (/ 1 z) 1 z y (/ x z) x (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) x) (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (* 1/2 (pow x -1)) (/ 1/2 x) (sqrt z) (/ 1/2 y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) (+ (/ x y) (sqrt z)) (* (+ (/ (/ x y) z) (pow (sqrt z) -1)) z) (+ (/ (/ x y) z) (pow (sqrt z) -1)) (pow z -1/2) -1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (* (+ (* (pow z -1/2) (/ y x)) (pow z -1)) x) (+ (* (pow z -1/2) (/ y x)) (pow z -1)) (/ y x) (pow z -1) -1 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) (+ (/ x y) (sqrt z)) (* (/ (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (- (pow z -1/2) (/ (/ x y) z))) z) (/ (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (- (pow z -1/2) (/ (/ x y) z))) (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (* (/ (/ x y) z) (/ (/ x y) z)) (/ (/ x y) z) (/ x y) (- (pow z -1/2) (/ (/ x y) z)))
9.0ms
z
@-inf
((* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z)) (sqrt (/ 1 z)) (/ 1 z) 1 z y (/ x z) x (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) x) (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (* 1/2 (pow x -1)) (/ 1/2 x) (sqrt z) (/ 1/2 y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) (+ (/ x y) (sqrt z)) (* (+ (/ (/ x y) z) (pow (sqrt z) -1)) z) (+ (/ (/ x y) z) (pow (sqrt z) -1)) (pow z -1/2) -1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (* (+ (* (pow z -1/2) (/ y x)) (pow z -1)) x) (+ (* (pow z -1/2) (/ y x)) (pow z -1)) (/ y x) (pow z -1) -1 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) (+ (/ x y) (sqrt z)) (* (/ (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (- (pow z -1/2) (/ (/ x y) z))) z) (/ (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (- (pow z -1/2) (/ (/ x y) z))) (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (* (/ (/ x y) z) (/ (/ x y) z)) (/ (/ x y) z) (/ x y) (- (pow z -1/2) (/ (/ x y) z)))
8.0ms
z
@0
((* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z)) (sqrt (/ 1 z)) (/ 1 z) 1 z y (/ x z) x (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) x) (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (* 1/2 (pow x -1)) (/ 1/2 x) (sqrt z) (/ 1/2 y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) (+ (/ x y) (sqrt z)) (* (+ (/ (/ x y) z) (pow (sqrt z) -1)) z) (+ (/ (/ x y) z) (pow (sqrt z) -1)) (pow z -1/2) -1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (* (+ (* (pow z -1/2) (/ y x)) (pow z -1)) x) (+ (* (pow z -1/2) (/ y x)) (pow z -1)) (/ y x) (pow z -1) -1 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) (+ (/ x y) (sqrt z)) (* (/ (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (- (pow z -1/2) (/ (/ x y) z))) z) (/ (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (- (pow z -1/2) (/ (/ x y) z))) (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (* (/ (/ x y) z) (/ (/ x y) z)) (/ (/ x y) z) (/ x y) (- (pow z -1/2) (/ (/ x y) z)))
7.0ms
y
@0
((* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z)) (sqrt (/ 1 z)) (/ 1 z) 1 z y (/ x z) x (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) x) (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (* 1/2 (pow x -1)) (/ 1/2 x) (sqrt z) (/ 1/2 y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) (+ (/ x y) (sqrt z)) (* (+ (/ (/ x y) z) (pow (sqrt z) -1)) z) (+ (/ (/ x y) z) (pow (sqrt z) -1)) (pow z -1/2) -1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (* (+ (* (pow z -1/2) (/ y x)) (pow z -1)) x) (+ (* (pow z -1/2) (/ y x)) (pow z -1)) (/ y x) (pow z -1) -1 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) (+ (/ x y) (sqrt z)) (* (/ (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (- (pow z -1/2) (/ (/ x y) z))) z) (/ (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (- (pow z -1/2) (/ (/ x y) z))) (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (* (/ (/ x y) z) (/ (/ x y) z)) (/ (/ x y) z) (/ x y) (- (pow z -1/2) (/ (/ x y) z)))
7.0ms
x
@-inf
((* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z)) (sqrt (/ 1 z)) (/ 1 z) 1 z y (/ x z) x (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) x) (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (* 1/2 (pow x -1)) (/ 1/2 x) (sqrt z) (/ 1/2 y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) (+ (/ x y) (sqrt z)) (* (+ (/ (/ x y) z) (pow (sqrt z) -1)) z) (+ (/ (/ x y) z) (pow (sqrt z) -1)) (pow z -1/2) -1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (* (+ (* (pow z -1/2) (/ y x)) (pow z -1)) x) (+ (* (pow z -1/2) (/ y x)) (pow z -1)) (/ y x) (pow z -1) -1 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (/ x y) (sqrt z))) y) (* 1/2 (+ (/ x y) (sqrt z))) (+ (/ x y) (sqrt z)) (* (/ (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (- (pow z -1/2) (/ (/ x y) z))) z) (/ (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (- (pow z -1/2) (/ (/ x y) z))) (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (* (/ (/ x y) z) (/ (/ x y) z)) (/ (/ x y) z) (/ x y) (- (pow z -1/2) (/ (/ x y) z)))

rewrite107.0ms (5.6%)

Memory
36.8MiB live, 182.0MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06046824
06515603
026955503
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
273 → 389
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) z))
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) z)
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))
#s(literal 1/2 binary64)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
y
(/.f64 x z)
x
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (* 1/2 (+ (/ x y) (sqrt z))) (*.f64 (fma.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) x)) y))
(*.f64 #s(approx (* 1/2 (+ (/ x y) (sqrt z))) (*.f64 (fma.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) x)) y)
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) (*.f64 (fma.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) x))
(*.f64 (fma.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) x)
(fma.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 z)
(/.f64 #s(literal 1/2 binary64) y)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 #s(approx (+ (/ (/ x y) z) (pow (sqrt z) -1)) (pow.f64 z #s(literal -1/2 binary64))) z))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 #s(approx (+ (/ (/ x y) z) (pow (sqrt z) -1)) (pow.f64 z #s(literal -1/2 binary64))) z))) y)
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 #s(approx (+ (/ (/ x y) z) (pow (sqrt z) -1)) (pow.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (/ x y) (sqrt z)) (*.f64 #s(approx (+ (/ (/ x y) z) (pow (sqrt z) -1)) (pow.f64 z #s(literal -1/2 binary64))) z))
(*.f64 #s(approx (+ (/ (/ x y) z) (pow (sqrt z) -1)) (pow.f64 z #s(literal -1/2 binary64))) z)
#s(approx (+ (/ (/ x y) z) (pow (sqrt z) -1)) (pow.f64 z #s(literal -1/2 binary64)))
(pow.f64 z #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(approx (/ (+ (* (sqrt z) y) x) z) (*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 y x) (pow.f64 z #s(literal -1 binary64))) x)))) z))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(approx (/ (+ (* (sqrt z) y) x) z) (*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 y x) (pow.f64 z #s(literal -1 binary64))) x)))) z)
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(approx (/ (+ (* (sqrt z) y) x) z) (*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 y x) (pow.f64 z #s(literal -1 binary64))) x))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(approx (/ (+ (* (sqrt z) y) x) z) (*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 y x) (pow.f64 z #s(literal -1 binary64))) x)))
#s(approx (/ (+ (* (sqrt z) y) x) z) (*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 y x) (pow.f64 z #s(literal -1 binary64))) x))
(*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 y x) (pow.f64 z #s(literal -1 binary64))) x)
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 y x) (pow.f64 z #s(literal -1 binary64)))
(/.f64 y x)
(pow.f64 z #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 x y) z) (/.f64 (/.f64 x y) z))) (-.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z))) z))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 x y) z) (/.f64 (/.f64 x y) z))) (-.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z))) z))) y)
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 x y) z) (/.f64 (/.f64 x y) z))) (-.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z))) z)))
#s(approx (+ (/ x y) (sqrt z)) (*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 x y) z) (/.f64 (/.f64 x y) z))) (-.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z))) z))
(*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 x y) z) (/.f64 (/.f64 x y) z))) (-.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z))) z)
(/.f64 (-.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 x y) z) (/.f64 (/.f64 x y) z))) (-.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z)))
(-.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 x y) z) (/.f64 (/.f64 x y) z)))
(*.f64 (/.f64 (/.f64 x y) z) (/.f64 (/.f64 x y) z))
(/.f64 (/.f64 x y) z)
(/.f64 x y)
(-.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z))))))
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z))))
#s(approx (/ x z) #s(hole binary64 (/ x z)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* 1/2 (sqrt z))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) x) #s(hole binary64 (* 1/2 (sqrt z))))
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#s(approx (/ (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (- (pow z -1/2) (/ (/ x y) z))) #s(hole binary64 (/ x (* y z))))
#s(approx (/ (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (- (pow z -1/2) (/ (/ x y) z))) #s(hole binary64 (* x (+ (* (/ 1 x) (sqrt (/ 1 z))) (/ 1 (* y z))))))
#s(approx (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) #s(hole binary64 (* -1 (/ (pow x 2) (* (pow y 2) (pow z 2))))))
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#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))))
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))))
#s(approx (* (+ (/ (/ x y) z) (pow (sqrt z) -1)) z) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))))
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#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))))
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#s(approx (* (/ (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (- (pow z -1/2) (/ (/ x y) z))) z) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))))
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#s(approx (- (pow z -1/2) (/ (/ x y) z)) #s(hole binary64 (* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt (/ 1 z)))) (/ 1 (* y z)))))))
#s(approx y #s(hole binary64 y))
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#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 y)))
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#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* y (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))))))
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#s(approx (/ (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (- (pow z -1/2) (/ (/ x y) z))) #s(hole binary64 (/ (+ (* -1 (/ (pow x 2) (* (pow y 2) (- (sqrt z) (/ x y))))) (/ z (- (sqrt z) (/ x y)))) z)))
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#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* z (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))))))
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#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (* z (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y z)))))))
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#s(approx (* (+ (/ (/ x y) z) (pow (sqrt z) -1)) z) #s(hole binary64 (* z (+ (sqrt (/ 1 z)) (/ x (* y z))))))
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#s(approx (* (/ (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (- (pow z -1/2) (/ (/ x y) z))) z) #s(hole binary64 (- (+ (sqrt z) (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z))))) (* -1 (/ x y)))))
#s(approx (* (/ (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (- (pow z -1/2) (/ (/ x y) z))) z) #s(hole binary64 (- (+ (sqrt z) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) y)))) y) (sqrt (/ 1 (pow z 3)))))) (* -1 (/ x y)))))
#s(approx (* (/ (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (- (pow z -1/2) (/ (/ x y) z))) z) #s(hole binary64 (- (+ (sqrt z) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) y)))) (* (pow y 2) (pow z 2))))) (+ (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) y)))) y) (sqrt (/ 1 (pow z 3))))) (* -1 (/ x y))))))
#s(approx (/ (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (- (pow z -1/2) (/ (/ x y) z))) #s(hole binary64 (/ (- (+ (sqrt z) (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z))))) (* -1 (/ x y))) z)))
#s(approx (/ (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (- (pow z -1/2) (/ (/ x y) z))) #s(hole binary64 (/ (- (+ (sqrt z) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) y)))) y) (sqrt (/ 1 (pow z 3)))))) (* -1 (/ x y))) z)))
#s(approx (/ (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (- (pow z -1/2) (/ (/ x y) z))) #s(hole binary64 (/ (- (+ (sqrt z) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) y)))) (* (pow y 2) (pow z 2))))) (+ (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) y)))) y) (sqrt (/ 1 (pow z 3))))) (* -1 (/ x y)))) z)))
#s(approx (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) #s(hole binary64 (/ (+ 1 (* -1 (/ (pow x 2) (* (pow y 2) z)))) z)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))))
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (+ (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z))))
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* -1/2 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x (* y z))) (* 1/2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) x) #s(hole binary64 (* -1/2 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) x) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x (* y z))) (* 1/2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (* -1/2 (* (/ (pow (sqrt -1) 2) x) (sqrt z)))))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (pow (sqrt -1) 2) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y z))))))))
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (+ (/ x y) (sqrt z)) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x (* y z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))))
#s(approx (* (+ (/ (/ x y) z) (pow (sqrt z) -1)) z) #s(hole binary64 (* -1 (* z (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))))
#s(approx (pow z -1/2) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (/ x z))))
#s(approx (* (+ (* (pow z -1/2) (/ y x)) (pow z -1)) x) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))
#s(approx (* (+ (* (pow z -1/2) (/ y x)) (pow z -1)) x) #s(hole binary64 (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z))))
#s(approx (+ (* (pow z -1/2) (/ y x)) (pow z -1)) #s(hole binary64 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))))
#s(approx (+ (* (pow z -1/2) (/ y x)) (pow z -1)) #s(hole binary64 (+ (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))
#s(approx (* (/ (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (- (pow z -1/2) (/ (/ x y) z))) z) #s(hole binary64 (- (+ (sqrt z) (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z))))) (/ x (* y (pow (sqrt -1) 2))))))
#s(approx (* (/ (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (- (pow z -1/2) (/ (/ x y) z))) z) #s(hole binary64 (+ (sqrt z) (* -1 (/ (+ (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (/ (* x z) (* y (pow (sqrt -1) 2))))) y) (sqrt (/ 1 z)))) (* -1 (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (/ (* x z) (* y (pow (sqrt -1) 2)))))) z)))))
#s(approx (* (/ (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (- (pow z -1/2) (/ (/ x y) z))) z) #s(hole binary64 (+ (sqrt z) (* -1 (/ (+ (* -1 (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (/ (* x z) (* y (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (/ (* x z) (* y (pow (sqrt -1) 2))))) (* (pow y 2) (pow (sqrt -1) 2)))) (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (/ (* x z) (* y (pow (sqrt -1) 2))))) y) (sqrt z))) z))) z)))))
#s(approx (/ (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (- (pow z -1/2) (/ (/ x y) z))) #s(hole binary64 (* -1 (/ (+ (* -1 (sqrt z)) (* -1 (/ (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (/ (* x z) (* y (pow (sqrt -1) 2)))) z))) z))))
#s(approx (/ (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (- (pow z -1/2) (/ (/ x y) z))) #s(hole binary64 (* -1 (/ (+ (* -1 (sqrt z)) (* -1 (/ (- (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (/ (* x z) (* y (pow (sqrt -1) 2))))) y) (sqrt (/ 1 z)))) (/ (* x z) (* y (pow (sqrt -1) 2)))) z))) z))))
#s(approx (/ (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (- (pow z -1/2) (/ (/ x y) z))) #s(hole binary64 (* -1 (/ (+ (* -1 (sqrt z)) (* -1 (/ (- (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (- (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (/ (* x z) (* y (pow (sqrt -1) 2))))) (* (pow y 2) (pow (sqrt -1) 2))) (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (/ (* x z) (* y (pow (sqrt -1) 2))))) y) (sqrt z))) z))) (/ (* x z) (* y (pow (sqrt -1) 2)))) z))) z))))
#s(approx (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) #s(hole binary64 (* -1 (/ (- (/ (pow x 2) (* (pow y 2) z)) 1) z))))
#s(approx (- (pow z -1/2) (/ (/ x y) z)) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))
#s(approx (- (pow z -1/2) (/ (/ x y) z)) #s(hole binary64 (+ (* -1 (/ x (* y z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z)) #s(literal 1/2 binary64)) z))
(*.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z)) #s(literal 1/2 binary64)) z)
(*.f64 z (*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z)) z))
(fma.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64)) z (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z))
(fma.f64 z (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64)) (*.f64 z (*.f64 (/.f64 x z) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64)) z) (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z))
(+.f64 (*.f64 z (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64))) (*.f64 z (*.f64 (/.f64 x z) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64))) (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x z) (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) (*.f64 (/.f64 x z) (/.f64 x z))) (-.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (/.f64 x z)))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (-.f64 (*.f64 (/.f64 x z) (/.f64 x z)) (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (/.f64 x z)))))
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(+.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (/.f64 x z))
(+.f64 (/.f64 x z) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y))
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 z #s(literal -1/4 binary64)) (pow.f64 z #s(literal -1/4 binary64)))
(pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64))
(pow.f64 z #s(literal -1/2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
(sqrt.f64 (pow.f64 z #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)))
(pow.f64 z #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 z))
(/.f64 #s(literal 1 binary64) z)
(exp.f64 (*.f64 (log.f64 z) #s(literal -1 binary64)))
#s(literal 1 binary64)
z
y
(/.f64 (neg.f64 x) (neg.f64 z))
(/.f64 x z)
x
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (* 1/2 (+ (/ x y) (sqrt z))) (*.f64 (fma.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) x)) y))
(*.f64 #s(approx (* 1/2 (+ (/ x y) (sqrt z))) (*.f64 (fma.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) x)) y)
(*.f64 y #s(approx (* 1/2 (+ (/ x y) (sqrt z))) (*.f64 (fma.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) x)))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) (*.f64 (fma.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) x))
(*.f64 (fma.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) x)
(*.f64 x (fma.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z)) (*.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y))) (-.f64 (*.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) y)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z)) (*.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z)))
(fma.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (sqrt.f64 z) #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z)))
(+.f64 (*.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) y))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z)))
#s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) (neg.f64 x))
(/.f64 #s(literal 1/2 binary64) x)
(pow.f64 z #s(literal 1/2 binary64))
(sqrt.f64 z)
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 y))
(/.f64 #s(literal 1/2 binary64) y)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (/ x y) (sqrt z)) (*.f64 #s(approx (+ (/ (/ x y) z) (pow (sqrt z) -1)) (pow.f64 z #s(literal -1/2 binary64))) z)) #s(literal 1/2 binary64)) y))
(*.f64 (*.f64 #s(approx (+ (/ x y) (sqrt z)) (*.f64 #s(approx (+ (/ (/ x y) z) (pow (sqrt z) -1)) (pow.f64 z #s(literal -1/2 binary64))) z)) #s(literal 1/2 binary64)) y)
(*.f64 y (*.f64 #s(approx (+ (/ x y) (sqrt z)) (*.f64 #s(approx (+ (/ (/ x y) z) (pow (sqrt z) -1)) (pow.f64 z #s(literal -1/2 binary64))) z)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (+ (/ x y) (sqrt z)) (*.f64 #s(approx (+ (/ (/ x y) z) (pow (sqrt z) -1)) (pow.f64 z #s(literal -1/2 binary64))) z)) y))
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#s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z)) z))
#s(approx (* (+ (/ (/ x y) z) (pow (sqrt z) -1)) z) (*.f64 (+.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z)) z))
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) (*.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z)) #s(literal 1/2 binary64)) z))
#s(approx (* (+ (/ (/ x y) z) (pow (sqrt z) -1)) z) (-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 z #s(literal -1/2 binary64))) #s(literal -1 binary64) (sqrt.f64 z)) (neg.f64 (/.f64 x y))))
#s(approx (* (+ (/ (/ x y) z) (pow (sqrt z) -1)) z) (-.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 z #s(literal -3 binary64))) (*.f64 x (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 z)) (/.f64 (*.f64 z x) y))) y)) (neg.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 z #s(literal -1/2 binary64))))) (sqrt.f64 z)) (neg.f64 (/.f64 x y))))
#s(approx (* (+ (/ (/ x y) z) (pow (sqrt z) -1)) z) (-.f64 (+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 z)) (/.f64 (*.f64 z x) y))) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (neg.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 z #s(literal -1/2 binary64))))) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (pow.f64 z #s(literal -3 binary64))) (*.f64 x (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 z)) (/.f64 (*.f64 z x) y))) y)) (/.f64 x y)))))
#s(approx (+ (/ (/ x y) z) (pow (sqrt z) -1)) (/.f64 (-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 z #s(literal -1/2 binary64))) #s(literal -1 binary64) (sqrt.f64 z)) (neg.f64 (/.f64 x y))) z))
#s(approx (+ (/ (/ x y) z) (pow (sqrt z) -1)) (/.f64 (-.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 z #s(literal -3 binary64))) (*.f64 x (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 z)) (/.f64 (*.f64 z x) y))) y)) (neg.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 z #s(literal -1/2 binary64))))) (sqrt.f64 z)) (neg.f64 (/.f64 x y))) z))
#s(approx (+ (/ (/ x y) z) (pow (sqrt z) -1)) (/.f64 (-.f64 (+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 z)) (/.f64 (*.f64 z x) y))) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (neg.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 z #s(literal -1/2 binary64))))) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (pow.f64 z #s(literal -3 binary64))) (*.f64 x (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 z)) (/.f64 (*.f64 z x) y))) y)) (/.f64 x y)))) z))
#s(approx (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) z)) #s(literal -1 binary64) #s(literal 1 binary64)) z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal -1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (neg.f64 (*.f64 (fma.f64 (*.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 x z) #s(literal -1/2 binary64))) z)))
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (/.f64 x z))) z)))
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) (*.f64 (*.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (/.f64 x z))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64)))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (fma.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (/.f64 x z)))
#s(approx (sqrt (/ 1 z)) (neg.f64 (pow.f64 z #s(literal -1/2 binary64))))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal -1/2 binary64)))
#s(approx (* (* 1/2 (+ (/ x y) (sqrt z))) y) (neg.f64 (*.f64 (fma.f64 (*.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 x z) #s(literal -1/2 binary64))) z)))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) (*.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1/2 binary64)))
#s(approx (* 1/2 (+ (/ x y) (sqrt z))) (neg.f64 (*.f64 (fma.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 x y) z) #s(literal -1/2 binary64))) z)))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) x) (*.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1/2 binary64)))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) x) (neg.f64 (*.f64 (fma.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 x y) z) #s(literal -1/2 binary64))) z)))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (*.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) #s(literal -1/2 binary64)))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z)))
#s(approx (sqrt z) (neg.f64 (neg.f64 (sqrt.f64 z))))
#s(approx (+ (/ x y) (sqrt z)) (neg.f64 (neg.f64 (sqrt.f64 z))))
#s(approx (+ (/ x y) (sqrt z)) (neg.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x y) z))) z)))
#s(approx (* (+ (/ (/ x y) z) (pow (sqrt z) -1)) z) (neg.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x y) z))) z)))
#s(approx (sqrt (/ 1 z)) (neg.f64 (pow.f64 z #s(literal -1/2 binary64))))
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z))) z)))
#s(approx (/ (+ (* (sqrt z) y) x) z) (neg.f64 (*.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) (fma.f64 (*.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64)))) #s(literal -1 binary64) (/.f64 x z)))
#s(approx (* (+ (* (pow z -1/2) (/ y x)) (pow z -1)) x) (*.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64)))))
#s(approx (* (+ (* (pow z -1/2) (/ y x)) (pow z -1)) x) (fma.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (/.f64 x z)))
#s(approx (+ (* (pow z -1/2) (/ y x)) (pow z -1)) (/.f64 (*.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64)))) x))
#s(approx (+ (* (pow z -1/2) (/ y x)) (pow z -1)) (fma.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1 binary64))))
#s(approx (* (+ (/ (/ x y) z) (pow (sqrt z) -1)) z) (-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 z #s(literal -1/2 binary64))) #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 (/.f64 x y) #s(literal -1 binary64))))
#s(approx (* (+ (/ (/ x y) z) (pow (sqrt z) -1)) z) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (/.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 z))) (/.f64 (/.f64 (*.f64 z x) y) #s(literal -1 binary64))) y)) (pow.f64 z #s(literal -1/2 binary64)) (-.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 z))) (/.f64 (/.f64 (*.f64 z x) y) #s(literal -1 binary64))))) z) #s(literal -1 binary64) (sqrt.f64 z)))
#s(approx (* (+ (/ (/ x y) z) (pow (sqrt z) -1)) z) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 z))) (/.f64 (/.f64 (*.f64 z x) y) #s(literal -1 binary64))) y)) (sqrt.f64 z) (neg.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 z))) (/.f64 (/.f64 (*.f64 z x) y) #s(literal -1 binary64))) #s(literal -1 binary64))))) z) #s(literal -1 binary64) (neg.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 z))) (/.f64 (/.f64 (*.f64 z x) y) #s(literal -1 binary64))))) z) #s(literal -1 binary64) (sqrt.f64 z)))
#s(approx (+ (/ (/ x y) z) (pow (sqrt z) -1)) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 z))) (/.f64 (/.f64 (*.f64 z x) y) #s(literal -1 binary64))) z) #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) z)))
#s(approx (+ (/ (/ x y) z) (pow (sqrt z) -1)) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x (/.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 z))) (/.f64 (/.f64 (*.f64 z x) y) #s(literal -1 binary64))) y)) (pow.f64 z #s(literal -1/2 binary64)) (neg.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 z)))) (/.f64 (/.f64 (*.f64 z x) y) #s(literal -1 binary64))) z) #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) z)))
#s(approx (+ (/ (/ x y) z) (pow (sqrt z) -1)) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 z) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 z))) (/.f64 (/.f64 (*.f64 z x) y) #s(literal -1 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 x (/.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 z))) (/.f64 (/.f64 (*.f64 z x) y) #s(literal -1 binary64))) y)) (sqrt.f64 z))) z))) (/.f64 (/.f64 (*.f64 z x) y) #s(literal -1 binary64))) z) #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) z)))
#s(approx (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) z)) #s(literal 1 binary64)) z)))
#s(approx (- (pow z -1/2) (/ (/ x y) z)) (neg.f64 (pow.f64 z #s(literal -1/2 binary64))))
#s(approx (- (pow z -1/2) (/ (/ x y) z)) (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x y) z))))

eval52.0ms (2.7%)

Memory
-14.9MiB live, 127.5MiB allocated; 8ms collecting garbage
Compiler

Compiled 17 742 to 2 048 computations (88.5% saved)

prune19.0ms (1%)

Memory
9.2MiB live, 56.5MiB allocated; 2ms collecting garbage
Pruning

13 alts after pruning (2 fresh and 11 done)

PrunedKeptTotal
New4052407
Fresh101
Picked145
Done077
Total40713420
Accuracy
100.0%
Counts
420 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
✓86.9%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
✓47.0%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
✓84.9%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) z))
✓84.9%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) z))
✓85.7%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y))
46.1%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 (/.f64 #s(approx (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) z)) #s(literal 1 binary64)) z))) (-.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z))) z))) y))
✓46.9%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 #s(approx (+ (/ (/ x y) z) (pow (sqrt z) -1)) (pow.f64 z #s(literal -1/2 binary64))) z))) y))
53.8%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) #s(approx (* (+ (/ (/ x y) z) (pow (sqrt z) -1)) z) (fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 (sqrt.f64 z) (/.f64 x y)) (*.f64 y y))) #s(literal -1 binary64) (/.f64 z (-.f64 (sqrt.f64 z) (/.f64 x y))))))) y))
✓84.9%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))) z))
✓75.6%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(approx (/ (+ (* (sqrt z) y) x) z) (*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 y x) (pow.f64 z #s(literal -1 binary64))) x)))) z))
✓80.6%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (* 1/2 (+ (/ x y) (sqrt z))) (*.f64 (fma.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) x)) y))
✓54.5%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 1 066 to 450 computations (57.8% saved)

regimes46.0ms (2.4%)

Memory
7.6MiB live, 106.4MiB allocated; 9ms collecting garbage
Counts
21 → 1
Calls
Call 1
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 (*.f64 (sqrt.f64 z) y) #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 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (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 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))) z))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (* 1/2 (+ (/ x y) (sqrt z))) (*.f64 (fma.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) x)) y))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) z))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) #s(approx (* (+ (/ (/ x y) z) (pow (sqrt z) -1)) z) (fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 (sqrt.f64 z) (/.f64 x y)) (*.f64 y y))) #s(literal -1 binary64) (/.f64 z (-.f64 (sqrt.f64 z) (/.f64 x y))))))) y))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 #s(approx (+ (/ (/ x y) z) (pow (sqrt z) -1)) (pow.f64 z #s(literal -1/2 binary64))) z))) y))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (pow.f64 z #s(literal -1 binary64))) y (/.f64 x z))) z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (* 1/2 (+ (/ x y) (sqrt z))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) x)) y))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 (+.f64 (/.f64 (/.f64 x y) z) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) z))) y))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 (/.f64 #s(approx (- (pow z -1) (* (/ (/ x y) z) (/ (/ x y) z))) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) z)) #s(literal 1 binary64)) z))) (-.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z))) z))) y))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(approx (/ (+ (* (sqrt z) y) x) z) (*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 y x) (pow.f64 z #s(literal -1 binary64))) x)))) z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (fma.f64 (/.f64 y x) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) x))) z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (/ x y) (sqrt z)) (*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 x y) z) (/.f64 (/.f64 x y) z))) (-.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z))) z))) y))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 3 binary64))) (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 z)) (*.f64 (/.f64 x y) (sqrt.f64 z)))))) y))
Outputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
Calls

7 calls:

11.0ms
(+.f64 x (*.f64 y (sqrt.f64 z)))
7.0ms
y
5.0ms
x
5.0ms
(sqrt.f64 z)
5.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
Results
AccuracySegmentsBranch
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 25 to 34 computations (-36% saved)

regimes10.0ms (0.5%)

Memory
-18.0MiB live, 29.2MiB allocated; 1ms collecting garbage
Counts
2 → 3
Calls
Call 1
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 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Calls

7 calls:

2.0ms
y
2.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
1.0ms
x
1.0ms
z
1.0ms
(sqrt.f64 z)
Results
AccuracySegmentsBranch
70.5%4(sqrt.f64 z)
77.7%3(*.f64 y (sqrt.f64 z))
62.2%4(+.f64 x (*.f64 y (sqrt.f64 z)))
62.2%4(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
80.9%3x
74.2%3y
70.5%4z
Compiler

Compiled 25 to 34 computations (-36% saved)

regimes8.0ms (0.4%)

Memory
23.3MiB live, 23.3MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 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))
Calls

7 calls:

1.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
1.0ms
(+.f64 x (*.f64 y (sqrt.f64 z)))
1.0ms
(*.f64 y (sqrt.f64 z))
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
54.5%1(+.f64 x (*.f64 y (sqrt.f64 z)))
54.5%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
54.5%1(sqrt.f64 z)
54.5%1z
54.5%1y
54.5%1(*.f64 y (sqrt.f64 z))
54.5%1x
Compiler

Compiled 25 to 34 computations (-36% saved)

bsearch16.0ms (0.9%)

Memory
-9.6MiB live, 38.2MiB allocated; 1ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
3.0ms
1.0577723601123647e-76
1.1673534609728815e-76
12.0ms
-2.550763986751655e+29
-2.3805196804581398e+23
Samples
8.0ms176×0valid
Compiler

Compiled 354 to 346 computations (2.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sqrt: 2.0ms (55.1% of total)
ival-mult!: 2.0ms (55.1% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

derivations6.0ms (0.3%)

Memory
-34.2MiB live, 12.5MiB allocated; 2ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 74 to 25 computations (66.2% saved)

preprocess17.0ms (0.9%)

Memory
42.3MiB live, 42.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 168 to 70 computations (58.3% saved)

end0.0ms (0%)

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

Profiling

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