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

Time bar (total: 2.5s)

start0.0ms (0%)

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

analyze215.0ms (8.5%)

Memory
11.0MiB live, 61.5MiB allocated; 174ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
50%49.9%49.9%0.1%0%0%0%6
66.7%49.9%25%0.1%0%25%0%7
66.7%49.9%25%0.1%0%25%0%8
66.7%49.9%25%0.1%0%25%0%9
80%49.9%12.5%0.1%0%37.4%0%10
80%49.9%12.5%0.1%0%37.4%0%11
80%49.9%12.5%0.1%0%37.4%0%12
Compiler

Compiled 12 to 12 computations (0% saved)

sample1.3s (51.3%)

Memory
50.9MiB live, 1 538.7MiB allocated; 439ms collecting garbage
Samples
589.0ms8 255×0valid
154.0ms2 020×0invalid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 450.0ms
ival-mult: 173.0ms (38.5% of total)
ival-sqrt: 111.0ms (24.7% of total)
ival-div: 94.0ms (20.9% of total)
ival-add: 53.0ms (11.8% of total)
exact: 12.0ms (2.7% of total)
adjust: 3.0ms (0.7% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

explain112.0ms (4.4%)

Memory
-32.0MiB live, 109.7MiB allocated; 18ms 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
55.0ms512×0valid
Compiler

Compiled 74 to 34 computations (54.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-div: 19.0ms (48.8% of total)
ival-mult: 12.0ms (30.8% of total)
ival-sqrt: 4.0ms (10.3% of total)
ival-add: 2.0ms (5.1% of total)
exact: 1.0ms (2.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess175.0ms (6.9%)

Memory
3.5MiB live, 98.9MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03784
113482
244182
3178482
4579182
0108
0168
1318
2638
31228
42358
55548
640288
084907
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
Compiler

Compiled 10 to 10 computations (0% saved)

eval0.0ms (0%)

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

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
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 10 to 10 computations (0% saved)

series9.0ms (0.3%)

Memory
10.3MiB live, 10.3MiB 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
@inf
((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z)

rewrite55.0ms (2.2%)

Memory
-10.1MiB live, 35.4MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109476
0115433
0505401
Stop Event
iter limit
iter limit
iter limit
unsound
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))))

eval6.0ms (0.2%)

Memory
8.5MiB live, 8.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 870 to 181 computations (79.2% saved)

prune4.0ms (0.2%)

Memory
7.2MiB live, 7.2MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New50656
Fresh000
Picked101
Done000
Total51657
Accuracy
100.0%
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))
89.5%
(*.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)))
92.2%
#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))
51.6%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
80.1%
#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))
49.6%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 208 to 172 computations (17.3% saved)

series43.0ms (1.7%)

Memory
-5.7MiB live, 40.0MiB allocated; 4ms collecting garbage
Counts
23 → 91
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 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
(fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (*.f64 (sqrt.f64 z) y) x)
#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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z)))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x)))
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (* (/ y x) (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 (/ 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (+ 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) 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #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 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 (* (+ (* (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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 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 (+ (* (/ 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #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) 1/2) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt 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)))))))
Calls

9 calls:

TimeVariablePointExpression
16.0ms
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)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (/ (* (sqrt z) y) x) (* (/ 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))
5.0ms
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)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (/ (* (sqrt z) y) x) (* (/ 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
@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)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (/ (* (sqrt z) y) x) (* (/ 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)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (/ (* (sqrt z) y) x) (* (/ 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)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (/ (* (sqrt z) y) x) (* (/ 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))

rewrite77.0ms (3%)

Memory
8.1MiB live, 56.1MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02591990
02861809
010991800
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
114 → 187
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 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
(fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (*.f64 (sqrt.f64 z) y) x)
#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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z)))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x)))
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (* (/ y x) (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 (/ 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (+ 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) 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #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 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 (* (+ (* (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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 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 (+ (* (/ 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #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) 1/2) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt 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)))))))
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 (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.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 (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)
(*.f64 x (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (sqrt.f64 z) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)))
(+.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 z) y)) (neg.f64 x))
(/.f64 (*.f64 (sqrt.f64 z) y) x)
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.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 (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.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 (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (/.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) x))
#s(approx (/ (* (sqrt z) y) x) (/.f64 (*.f64 (sqrt.f64 z) y) x))
#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 (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 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 (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
#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 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 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 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 y x) (pow.f64 z #s(literal -1 binary64))) x))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (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 (* (+ (* (sqrt z) y) x) 1/2) (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) 1/2) 1/2) x) (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))) 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 (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.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)) y))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.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))) (*.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 (* (+ (* (sqrt z) y) x) 1/2) (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 (/.f64 x y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) y)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (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)) 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 (* (+ (* (sqrt z) y) x) 1/2) (*.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 (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (fma.f64 (sqrt.f64 z) y x) #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 (* (+ (* (sqrt z) y) x) 1/2) (*.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 (* (+ (* (sqrt z) y) x) 1/2) (*.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) 1/2) 1/2) x) (*.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) 1/2) 1/2) (*.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)) 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 (* (+ (* (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 (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 (* (+ (* (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 (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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal -1/2 binary64)))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (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) 1/2) 1/2) (*.f64 (/.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) x) #s(literal -1/2 binary64)))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 y (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) z)) z)))
#s(approx (/ (* (sqrt z) y) x) (neg.f64 (/.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) x)))
#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)))

eval23.0ms (0.9%)

Memory
-13.9MiB live, 31.8MiB allocated; 4ms collecting garbage
Compiler

Compiled 5 325 to 695 computations (86.9% saved)

prune13.0ms (0.5%)

Memory
20.8MiB live, 20.8MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New2123215
Fresh101
Picked145
Done000
Total2147221
Accuracy
100.0%
Counts
221 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
89.5%
(*.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))
51.6%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
80.1%
#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))
87.5%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.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)) y)) x))
44.0%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x))
49.6%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 149 to 117 computations (21.5% saved)

series34.0ms (1.3%)

Memory
-13.2MiB live, 33.1MiB allocated; 3ms collecting garbage
Counts
26 → 102
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x))
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x)
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))
(/.f64 (*.f64 (sqrt.f64 z) y) x)
(*.f64 (sqrt.f64 z) y)
(sqrt.f64 z)
z
y
x
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.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)) y)) x))
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.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)) y)) x)
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.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)) y))
(*.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)) y)
(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))
#s(literal -1 binary64)
(/.f64 #s(literal 1/2 binary64) y)
(*.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)
#s(literal 1 binary64)
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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z)))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x)))
#s(approx (* (/ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z)))))
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (* (/ y x) (sqrt z))))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z)))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x)))
#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 (* (+ (* (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 (* (/ 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 1/2))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))
#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 (* (+ (* (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 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#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 (* (sqrt z) y) #s(hole binary64 (* y (sqrt z))))
#s(approx y #s(hole binary64 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 (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 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 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 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 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (sqrt z) #s(hole binary64 (sqrt z)))
#s(approx z #s(hole binary64 z))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (+ x (* y (sqrt 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 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 (* (+ (* (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 (* -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) x) 1/2) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #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) 1/2) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#s(approx (* (/ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (* (sqrt z) y) #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)))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#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) 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))))))
Calls

9 calls:

TimeVariablePointExpression
10.0ms
y
@inf
((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (/ (* (sqrt z) y) x) 1/2) (/ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (* 1/2 (pow x -1)) (pow x -1) -1 (/ 1/2 y) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) 1)
3.0ms
y
@-inf
((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (/ (* (sqrt z) y) x) 1/2) (/ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (* 1/2 (pow x -1)) (pow x -1) -1 (/ 1/2 y) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) 1)
3.0ms
z
@-inf
((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (/ (* (sqrt z) y) x) 1/2) (/ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (* 1/2 (pow x -1)) (pow x -1) -1 (/ 1/2 y) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) 1)
3.0ms
x
@-inf
((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (/ (* (sqrt z) y) x) 1/2) (/ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (* 1/2 (pow x -1)) (pow x -1) -1 (/ 1/2 y) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) 1)
3.0ms
z
@0
((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (/ (* (sqrt z) y) x) 1/2) (/ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (* 1/2 (pow x -1)) (pow x -1) -1 (/ 1/2 y) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) 1)

rewrite75.0ms (3%)

Memory
5.8MiB live, 51.3MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02692340
02922135
010802074
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
128 → 177
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x))
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x)
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))
(/.f64 (*.f64 (sqrt.f64 z) y) x)
(*.f64 (sqrt.f64 z) y)
(sqrt.f64 z)
z
y
x
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.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)) y)) x))
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.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)) y)) x)
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.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)) y))
(*.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)) y)
(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))
#s(literal -1 binary64)
(/.f64 #s(literal 1/2 binary64) y)
(*.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)
#s(literal 1 binary64)
#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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z)))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x)))
#s(approx (* (/ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z)))))
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (* (/ y x) (sqrt z))))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z)))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x)))
#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 (* (+ (* (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 (* (/ 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 1/2))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))
#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 (* (+ (* (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 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#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 (* (sqrt z) y) #s(hole binary64 (* y (sqrt z))))
#s(approx y #s(hole binary64 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 (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 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 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 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 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (sqrt z) #s(hole binary64 (sqrt z)))
#s(approx z #s(hole binary64 z))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (+ x (* y (sqrt 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 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 (* (+ (* (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 (* -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) x) 1/2) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #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) 1/2) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#s(approx (* (/ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (* (sqrt z) y) #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)))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#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) 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))))))
Outputs
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x))
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x)
(*.f64 x #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (sqrt.f64 z))
(*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))
(/.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) x)
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 z) y)) (neg.f64 x))
(/.f64 (*.f64 (sqrt.f64 z) y) x)
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(pow.f64 z #s(literal 1/2 binary64))
(sqrt.f64 z)
z
y
x
#s(literal 1/2 binary64)
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y)) x))
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y)) x)
(*.f64 x #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y)))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y))
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y)
(*.f64 y (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z)) y (*.f64 (/.f64 #s(literal 1/2 binary64) y) y))
(fma.f64 y (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z)) (*.f64 y (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z)) y) (*.f64 (/.f64 #s(literal 1/2 binary64) y) y))
(+.f64 (*.f64 y (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z))) (*.f64 y (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z)) (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y))) (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) y)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z)) (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (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 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z)))
(fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (sqrt.f64 z) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) y))
(-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) y))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
#s(literal -1 binary64)
(*.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)
(*.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))
(*.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)))
#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 x #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (sqrt.f64 z) y) x)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) x))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) x))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (/.f64 (*.f64 (sqrt.f64 z) y) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) (/.f64 (*.f64 (sqrt.f64 z) y) x))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1 binary64)) (-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) (/.f64 (*.f64 (sqrt.f64 z) y) x)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) (/.f64 (*.f64 (sqrt.f64 z) y) x) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64)))))
(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 (sqrt.f64 z) y) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 y x)
#s(literal 1 binary64)
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (/.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) x))
#s(approx (* (/ (* (sqrt z) y) x) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))
#s(approx (/ (* (sqrt z) y) x) (/.f64 (*.f64 (sqrt.f64 z) y) x))
#s(approx x x)
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (/.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) x))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z)))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) x))
#s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (pow x -1) (pow.f64 x #s(literal -1 binary64)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.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 (* (+ (* (/ y x) (sqrt z)) 1) x) (*.f64 (sqrt.f64 z) y))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (fma.f64 (sqrt.f64 z) y x))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (fma.f64 (sqrt.f64 z) y x) x))
#s(approx (/ y x) (/.f64 y x))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(literal 1/2 binary64))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 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 (* (+ (* (/ y x) (sqrt z)) 1) x) x)
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (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) 1/2) 1/2) x) (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) 1/2) (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 (* (+ (* (/ y x) (sqrt z)) 1) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1 binary64)) x)))
#s(approx (* (sqrt z) y) (*.f64 (sqrt.f64 z) y))
#s(approx y y)
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (/.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) y))
#s(approx (/ 1/2 y) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) y))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (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)) y)))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (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)) y)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (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 (/.f64 x y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) y)))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (neg.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) y)))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z))) (pow.f64 y #s(literal -1 binary64))) y)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.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 (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) z))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) z))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) z)) z))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) z)) z))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) z))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) z))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) z))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y x) (pow.f64 z #s(literal -1 binary64))) 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 #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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal -1/2 binary64)))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (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 (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) x) #s(literal -1/2 binary64)))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) y) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) z)) z)))
#s(approx (* (/ (* (sqrt z) y) x) 1/2) (*.f64 (/.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) x) #s(literal -1/2 binary64)))
#s(approx (/ (* (sqrt z) y) x) (neg.f64 (/.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) x)))
#s(approx (* (sqrt z) y) (neg.f64 (*.f64 y (neg.f64 (sqrt.f64 z)))))
#s(approx (sqrt z) (neg.f64 (neg.f64 (sqrt.f64 z))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (*.f64 (/.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) x) #s(literal -1/2 binary64)))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) y) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) 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 #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 (+ (* (sqrt z) y) x) (neg.f64 (*.f64 y (neg.f64 (sqrt.f64 z)))))
#s(approx (+ (* (sqrt z) y) x) (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 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 (*.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (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 (*.f64 #s(literal -1 binary64) y) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (pow.f64 z #s(literal -1 binary64))) z)))

eval37.0ms (1.4%)

Memory
-15.4MiB live, 31.4MiB allocated; 9ms collecting garbage
Compiler

Compiled 6 287 to 791 computations (87.4% saved)

prune8.0ms (0.3%)

Memory
16.3MiB live, 16.3MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New1903193
Fresh000
Picked213
Done044
Total1928200
Accuracy
100.0%
Counts
200 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
89.5%
(*.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))
51.6%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
80.1%
#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))
41.3%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64))) x))
39.0%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 #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))) y)) x))
85.3%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) y) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) z)) z))) x))
49.6%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 201 to 153 computations (23.9% saved)

series47.0ms (1.8%)

Memory
22.9MiB live, 67.3MiB allocated; 6ms collecting garbage
Counts
34 → 93
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) y) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) z)) z))) x))
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) y) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) z)) z))) x)
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) y) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) z)) z)))
(neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) y) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) z)) z))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) y) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) z)) z)
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) y) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) z))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) y) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) y) x))
#s(literal 1/2 binary64)
(/.f64 (*.f64 #s(literal -1 binary64) y) x)
(*.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
x
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
#s(literal 1 binary64)
(sqrt.f64 z)
z
(/.f64 #s(literal 1/2 binary64) z)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 #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))) y)) x))
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 #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))) y)) x)
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 #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))) y))
(*.f64 #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))) y)
#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)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) #s(literal -1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 z)) x)
(neg.f64 (sqrt.f64 z))
#s(literal -1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64))) x))
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64))) x)
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(/.f64 y x)
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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z)))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x)))
#s(approx (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z)))))
#s(approx (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) #s(hole binary64 (/ (- (* 1/2 x) (* -1/2 (* y (sqrt z)))) x)))
#s(approx (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) #s(hole binary64 (* -1/2 (* (/ y x) (sqrt z)))))
#s(approx (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) #s(hole binary64 (/ (+ (* -1/2 x) (* -1/2 (* y (sqrt z)))) x)))
#s(approx (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) #s(hole binary64 (* -1/2 (* (/ y x) (sqrt (/ 1 z))))))
#s(approx (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) #s(hole binary64 (/ (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z))) x)))
#s(approx (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) #s(hole binary64 (* -1/2 (* (/ y x) (sqrt (/ 1 z))))))
#s(approx (* 1/2 (/ (* -1 y) x)) #s(hole binary64 (* -1/2 (/ y x))))
#s(approx (/ (* -1 y) x) #s(hole binary64 (* -1 (/ y x))))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z)))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x)))
#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 (* (/ (neg (sqrt z)) x) -1/2) #s(hole binary64 (* 1/2 (* (/ 1 x) (sqrt z)))))
#s(approx (/ (neg (sqrt z)) x) #s(hole binary64 (* -1 (* (/ 1 x) (sqrt z)))))
#s(approx (* (* (/ y x) (sqrt z)) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z)))))
#s(approx (* (/ y x) (sqrt z)) #s(hole binary64 (* (/ y x) (sqrt z))))
#s(approx (/ y x) #s(hole binary64 (/ y 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))
#s(approx (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) #s(hole binary64 1/2))
#s(approx (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))
#s(approx (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) #s(hole binary64 -1/2))
#s(approx (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) #s(hole binary64 (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
#s(approx (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) #s(hole binary64 (/ -1/2 z)))
#s(approx (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) #s(hole binary64 (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 1/2))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))
#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 (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* -1 y) #s(hole binary64 (* -1 y)))
#s(approx y #s(hole binary64 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) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))
#s(approx (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (* (/ 1 x) (sqrt z)))))))
#s(approx (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) #s(hole binary64 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))
#s(approx (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) #s(hole binary64 (* y (- (* -1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y z)))))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))))
#s(approx (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))
#s(approx (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) #s(hole binary64 (* -1 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))))
#s(approx (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) #s(hole binary64 (* -1 (* y (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y z))))))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) #s(hole binary64 (- 1/2 (* -1/2 (* (/ y x) (sqrt z))))))
#s(approx (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) #s(hole binary64 (/ (- (* -1/2 (* (/ y x) (sqrt z))) 1/2) z)))
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (sqrt (/ 1 z))))
#s(approx (sqrt z) #s(hole binary64 (sqrt z)))
#s(approx z #s(hole binary64 z))
#s(approx (/ 1/2 z) #s(hole binary64 (/ 1/2 z)))
#s(approx (neg (sqrt z)) #s(hole binary64 (* -1 (sqrt 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))
#s(approx (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) #s(hole binary64 (* z (- (* 1/2 (/ 1 z)) (* -1/2 (* (/ y x) (sqrt (/ 1 z))))))))
#s(approx (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) #s(hole binary64 (* z (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 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 (* (/ 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) x) 1/2) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #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) 1/2) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#s(approx (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))
#s(approx (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) #s(hole binary64 (* -1 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#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 (* (/ (neg (sqrt z)) x) -1/2) #s(hole binary64 (* -1/2 (* (/ (pow (sqrt -1) 2) x) (sqrt z)))))
#s(approx (/ (neg (sqrt z)) x) #s(hole binary64 (* (/ (pow (sqrt -1) 2) x) (sqrt z))))
#s(approx (neg (sqrt z)) #s(hole binary64 (* (sqrt z) (pow (sqrt -1) 2))))
#s(approx (* (* (/ y x) (sqrt z)) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (* (/ y x) (sqrt z)) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
Calls

9 calls:

TimeVariablePointExpression
9.0ms
x
@inf
((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (* 1/2 (/ (* -1 y) x)) 1/2 (/ (* -1 y) x) (* -1 y) -1 y x (/ 1 (sqrt z)) 1 (sqrt z) z (/ 1/2 z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (* (/ (neg (sqrt z)) x) -1/2) (/ (neg (sqrt z)) x) (neg (sqrt z)) -1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (* (/ y x) (sqrt z)) 1/2) (* (/ y x) (sqrt z)) (/ y x))
8.0ms
y
@0
((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (* 1/2 (/ (* -1 y) x)) 1/2 (/ (* -1 y) x) (* -1 y) -1 y x (/ 1 (sqrt z)) 1 (sqrt z) z (/ 1/2 z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (* (/ (neg (sqrt z)) x) -1/2) (/ (neg (sqrt z)) x) (neg (sqrt z)) -1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (* (/ y x) (sqrt z)) 1/2) (* (/ y x) (sqrt z)) (/ y x))
5.0ms
z
@-inf
((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (* 1/2 (/ (* -1 y) x)) 1/2 (/ (* -1 y) x) (* -1 y) -1 y x (/ 1 (sqrt z)) 1 (sqrt z) z (/ 1/2 z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (* (/ (neg (sqrt z)) x) -1/2) (/ (neg (sqrt z)) x) (neg (sqrt z)) -1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (* (/ y x) (sqrt z)) 1/2) (* (/ y x) (sqrt z)) (/ y x))
4.0ms
z
@0
((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (* 1/2 (/ (* -1 y) x)) 1/2 (/ (* -1 y) x) (* -1 y) -1 y x (/ 1 (sqrt z)) 1 (sqrt z) z (/ 1/2 z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (* (/ (neg (sqrt z)) x) -1/2) (/ (neg (sqrt z)) x) (neg (sqrt z)) -1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (* (/ y x) (sqrt z)) 1/2) (* (/ y x) (sqrt z)) (/ y x))
4.0ms
x
@0
((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (* 1/2 (/ (* -1 y) x)) 1/2 (/ (* -1 y) x) (* -1 y) -1 y x (/ 1 (sqrt z)) 1 (sqrt z) z (/ 1/2 z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (* (/ (neg (sqrt z)) x) -1/2) (/ (neg (sqrt z)) x) (neg (sqrt z)) -1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (* (/ y x) (sqrt z)) 1/2) (* (/ y x) (sqrt z)) (/ y x))

rewrite100.0ms (3.9%)

Memory
-32.3MiB live, 122.6MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02732639
03072446
010432350
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
127 → 183
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) y) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) z)) z))) x))
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) y) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) z)) z))) x)
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) y) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) z)) z)))
(neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) y) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) z)) z))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) y) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) z)) z)
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) y) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) z))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) y) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) y) x))
#s(literal 1/2 binary64)
(/.f64 (*.f64 #s(literal -1 binary64) y) x)
(*.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
x
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
#s(literal 1 binary64)
(sqrt.f64 z)
z
(/.f64 #s(literal 1/2 binary64) z)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 #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))) y)) x))
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 #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))) y)) x)
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 #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))) y))
(*.f64 #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))) y)
#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)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) #s(literal -1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 z)) x)
(neg.f64 (sqrt.f64 z))
#s(literal -1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64))) x))
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64))) x)
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(/.f64 y 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z)))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x)))
#s(approx (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z)))))
#s(approx (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) #s(hole binary64 (/ (- (* 1/2 x) (* -1/2 (* y (sqrt z)))) x)))
#s(approx (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) #s(hole binary64 (* -1/2 (* (/ y x) (sqrt z)))))
#s(approx (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) #s(hole binary64 (/ (+ (* -1/2 x) (* -1/2 (* y (sqrt z)))) x)))
#s(approx (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) #s(hole binary64 (* -1/2 (* (/ y x) (sqrt (/ 1 z))))))
#s(approx (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) #s(hole binary64 (/ (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z))) x)))
#s(approx (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) #s(hole binary64 (* -1/2 (* (/ y x) (sqrt (/ 1 z))))))
#s(approx (* 1/2 (/ (* -1 y) x)) #s(hole binary64 (* -1/2 (/ y x))))
#s(approx (/ (* -1 y) x) #s(hole binary64 (* -1 (/ y x))))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z)))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x)))
#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 (* (/ (neg (sqrt z)) x) -1/2) #s(hole binary64 (* 1/2 (* (/ 1 x) (sqrt z)))))
#s(approx (/ (neg (sqrt z)) x) #s(hole binary64 (* -1 (* (/ 1 x) (sqrt z)))))
#s(approx (* (* (/ y x) (sqrt z)) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z)))))
#s(approx (* (/ y x) (sqrt z)) #s(hole binary64 (* (/ y x) (sqrt z))))
#s(approx (/ y x) #s(hole binary64 (/ y 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))
#s(approx (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) #s(hole binary64 1/2))
#s(approx (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))
#s(approx (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) #s(hole binary64 -1/2))
#s(approx (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) #s(hole binary64 (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
#s(approx (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) #s(hole binary64 (/ -1/2 z)))
#s(approx (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) #s(hole binary64 (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 1/2))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))
#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 (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* -1 y) #s(hole binary64 (* -1 y)))
#s(approx y #s(hole binary64 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) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))
#s(approx (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (* (/ 1 x) (sqrt z)))))))
#s(approx (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) #s(hole binary64 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))
#s(approx (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) #s(hole binary64 (* y (- (* -1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y z)))))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))))
#s(approx (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))
#s(approx (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) #s(hole binary64 (* -1 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))))
#s(approx (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) #s(hole binary64 (* -1 (* y (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y z))))))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) #s(hole binary64 (- 1/2 (* -1/2 (* (/ y x) (sqrt z))))))
#s(approx (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) #s(hole binary64 (/ (- (* -1/2 (* (/ y x) (sqrt z))) 1/2) z)))
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (sqrt (/ 1 z))))
#s(approx (sqrt z) #s(hole binary64 (sqrt z)))
#s(approx z #s(hole binary64 z))
#s(approx (/ 1/2 z) #s(hole binary64 (/ 1/2 z)))
#s(approx (neg (sqrt z)) #s(hole binary64 (* -1 (sqrt 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))
#s(approx (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) #s(hole binary64 (* z (- (* 1/2 (/ 1 z)) (* -1/2 (* (/ y x) (sqrt (/ 1 z))))))))
#s(approx (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) #s(hole binary64 (* z (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 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 (* (/ 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) x) 1/2) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #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) 1/2) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#s(approx (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))
#s(approx (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) #s(hole binary64 (* -1 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#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 (* (/ (neg (sqrt z)) x) -1/2) #s(hole binary64 (* -1/2 (* (/ (pow (sqrt -1) 2) x) (sqrt z)))))
#s(approx (/ (neg (sqrt z)) x) #s(hole binary64 (* (/ (pow (sqrt -1) 2) x) (sqrt z))))
#s(approx (neg (sqrt z)) #s(hole binary64 (* (sqrt z) (pow (sqrt -1) 2))))
#s(approx (* (* (/ y x) (sqrt z)) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (* (/ y x) (sqrt z)) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) z)) (neg.f64 z))) x))
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) z)) (neg.f64 z))) x)
(*.f64 x #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) z)) (neg.f64 z))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) z)) (neg.f64 z)))
(*.f64 (*.f64 #s(literal -1 binary64) z) (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) z)))
(*.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) z))) z)
(*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) z)) z) #s(literal -1 binary64))
(*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) z)) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) z)) z))
(neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) z)) z))
(*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) z)) z)
(*.f64 z (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) z)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x)) (pow.f64 z #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 #s(literal 1/2 binary64) z))) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) z)))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 #s(literal 1/2 binary64) z) (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) z)))))
(fma.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal -1 binary64))))
(fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal -1 binary64))))
(fma.f64 (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal -1 binary64))))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) z))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal -1 binary64))))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x)))
(/.f64 (*.f64 (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 z))
(*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 y) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 y)) x)
#s(literal 1/2 binary64)
(*.f64 (/.f64 y x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 x))
(/.f64 (neg.f64 y) x)
(neg.f64 (/.f64 y x))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(neg.f64 y)
#s(literal -1 binary64)
y
x
(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)
(pow.f64 z #s(literal 1/2 binary64))
(sqrt.f64 z)
z
(*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal -1 binary64)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 z))
(/.f64 #s(literal 1/2 binary64) z)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 #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))) y)) x))
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 #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))) y)) x)
(*.f64 x #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 #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))) y)))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 #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))) y))
(*.f64 #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))) y)
(*.f64 y #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)) (*.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 z))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (sqrt.f64 z)) x))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1/2 binary64)) x)
(*.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 z))) (neg.f64 x))
(/.f64 (neg.f64 (sqrt.f64 z)) x)
(neg.f64 (/.f64 (sqrt.f64 z) x))
(*.f64 #s(literal -1 binary64) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) #s(literal -1 binary64))
(neg.f64 (sqrt.f64 z))
#s(literal -1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x))
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x)
(*.f64 x #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (sqrt.f64 z))
(*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))
(*.f64 (/.f64 y x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))
(/.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) x)
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 z) y)) (neg.f64 x))
(/.f64 (*.f64 (sqrt.f64 z) y) x)
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 y 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (/.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) x))
#s(approx (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))
#s(approx (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) (/.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) x))
#s(approx (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal -1/2 binary64)))
#s(approx (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 z) y x)) x))
#s(approx (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) (*.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))))
#s(approx (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z))) x))
#s(approx (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (*.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))))
#s(approx (* 1/2 (/ (* -1 y) x)) (*.f64 (/.f64 y x) #s(literal -1/2 binary64)))
#s(approx (/ (* -1 y) x) (/.f64 (neg.f64 y) x))
#s(approx x x)
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (/.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) x))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z)))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))) x))
#s(approx (* (/ (neg (sqrt z)) x) -1/2) (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z)))
#s(approx (/ (neg (sqrt z)) x) (neg.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z))))
#s(approx (* (* (/ y x) (sqrt z)) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))
#s(approx (* (/ y x) (sqrt z)) (/.f64 (*.f64 (sqrt.f64 z) y) x))
#s(approx (/ y x) (/.f64 y x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
#s(approx (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) #s(literal 1/2 binary64))
#s(approx (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) #s(literal -1/2 binary64))
#s(approx (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) (-.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) (/.f64 #s(literal -1/2 binary64) z))
#s(approx (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) (-.f64 (*.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) z)))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(literal 1/2 binary64))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (neg.f64 (*.f64 (-.f64 (*.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) 1/2) 1/2) x) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) x)))
#s(approx (* -1 y) (neg.f64 y))
#s(approx y y)
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (/.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) y))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))) y))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))) y))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y))
#s(approx (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y))
#s(approx (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) (*.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)) y))
#s(approx (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) y))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (neg.f64 y) (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y)))))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (neg.f64 y) (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y)))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (neg.f64 y) (-.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))))
#s(approx (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y))
#s(approx (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) (*.f64 (neg.f64 y) (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) (*.f64 (neg.f64 y) (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 z y)))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (*.f64 (neg.f64 y) (-.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))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) z))
#s(approx (/ 1 (sqrt z)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))
#s(approx (sqrt z) (sqrt.f64 z))
#s(approx z z)
#s(approx (/ 1/2 z) (/.f64 #s(literal 1/2 binary64) z))
#s(approx (neg (sqrt z)) (neg.f64 (sqrt.f64 z)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z))) z))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z))) z))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) z)) z))
#s(approx (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) z)) z))
#s(approx (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) z)) z))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) z)) z))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 y)) (sqrt.f64 z)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 y)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 x z) #s(literal -1/2 binary64))) z)))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 y)) (sqrt.f64 z)))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 y)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 x z) #s(literal -1/2 binary64))) z)))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 y) x)) (sqrt.f64 z)))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) z)) (neg.f64 z)))
#s(approx (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) z)) z))
#s(approx (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) z)) z)))
#s(approx (sqrt z) (neg.f64 (neg.f64 (sqrt.f64 z))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 y) x)) (sqrt.f64 z)))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) z)) (neg.f64 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 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z)))
#s(approx (* (/ (neg (sqrt z)) x) -1/2) (*.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) #s(literal -1/2 binary64)))
#s(approx (/ (neg (sqrt z)) x) (/.f64 (neg.f64 (sqrt.f64 z)) x))
#s(approx (neg (sqrt z)) (neg.f64 (sqrt.f64 z)))
#s(approx (* (* (/ y x) (sqrt z)) 1/2) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 y) x)) (sqrt.f64 z)))
#s(approx (* (/ y x) (sqrt z)) (neg.f64 (*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z))))

eval24.0ms (0.9%)

Memory
13.8MiB live, 60.1MiB allocated; 5ms collecting garbage
Compiler

Compiled 8 877 to 1 012 computations (88.6% saved)

prune17.0ms (0.7%)

Memory
-9.5MiB live, 37.3MiB allocated; 4ms collecting garbage
Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New2052207
Fresh000
Picked123
Done055
Total2069215
Accuracy
100.0%
Counts
215 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
89.5%
(*.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))
51.6%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
80.1%
#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))
41.3%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64))) x))
39.0%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 #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))) y)) x))
85.3%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 #s(approx (* 1/2 (/ (* -1 y) x)) (*.f64 (/.f64 y x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) z)) z))) x))
85.4%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg.f64 (*.f64 #s(approx (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) z)) z))) x))
49.6%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 690 to 311 computations (54.9% saved)

regimes34.0ms (1.3%)

Memory
27.7MiB live, 73.3MiB allocated; 5ms collecting garbage
Counts
15 → 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))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64))) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #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))
(*.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 (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 #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))) y)) x))
#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 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg.f64 (*.f64 #s(approx (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) z)) z))) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 #s(approx (* 1/2 (/ (* -1 y) x)) (*.f64 (/.f64 y x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) z)) z))) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) y) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) z)) z))) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.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)) y)) x))
Outputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
Calls

7 calls:

8.0ms
x
4.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
4.0ms
z
4.0ms
y
4.0ms
(+.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)

regimes14.0ms (0.5%)

Memory
-26.0MiB live, 26.9MiB allocated; 8ms 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 (*.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))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
Calls

7 calls:

5.0ms
z
1.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
1.0ms
x
1.0ms
(+.f64 x (*.f64 y (sqrt.f64 z)))
1.0ms
(sqrt.f64 z)
Results
AccuracySegmentsBranch
68.9%2(sqrt.f64 z)
80.4%3(*.f64 y (sqrt.f64 z))
64.6%6(+.f64 x (*.f64 y (sqrt.f64 z)))
64.6%6(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
74.8%3x
76.8%3y
68.9%2z
Compiler

Compiled 25 to 34 computations (-36% saved)

regimes8.0ms (0.3%)

Memory
22.7MiB live, 22.7MiB 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
y
1.0ms
(+.f64 x (*.f64 y (sqrt.f64 z)))
1.0ms
z
1.0ms
(*.f64 y (sqrt.f64 z))
Results
AccuracySegmentsBranch
49.6%1(+.f64 x (*.f64 y (sqrt.f64 z)))
49.6%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
49.6%1(sqrt.f64 z)
49.6%1z
49.6%1x
49.6%1y
49.6%1(*.f64 y (sqrt.f64 z))
Compiler

Compiled 25 to 34 computations (-36% saved)

bsearch3.0ms (0.1%)

Memory
-45.1MiB live, 1.2MiB allocated; 5ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.2802152070218975e-19
3.560585960924981e-18
0.0ms
-2.411411074082101e-87
-6.2894246729576e-94
Compiler

Compiled 13 to 16 computations (-23.1% saved)

simplify50.0ms (2%)

Memory
12.8MiB live, 59.0MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02661
14661
29161
332561
4151261
5629561
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal -8958978968711217/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) (if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal 2076918743413931/5192296858534827628530496329220096 binary64)) #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))
Outputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal -8958978968711217/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) (if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal 2076918743413931/5192296858534827628530496329220096 binary64)) #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)))))
(if (or (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal -8958978968711217/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552 binary64)) (not (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal 2076918743413931/5192296858534827628530496329220096 binary64)))) #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)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

derivations5.0ms (0.2%)

Memory
7.2MiB live, 7.2MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 67 to 27 computations (59.7% saved)

preprocess53.0ms (2.1%)

Memory
-9.9MiB live, 36.4MiB allocated; 5ms collecting garbage
Compiler

Compiled 154 to 74 computations (51.9% saved)

end0.0ms (0%)

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

Profiling

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