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

Time bar (total: 2.8s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze54.0ms (1.9%)

Memory
-2.2MiB live, 89.4MiB allocated; 12ms 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 (47%)

Memory
30.7MiB live, 1 439.8MiB allocated; 295ms collecting garbage
Samples
751.0ms8 256×0valid
116.0ms2 045×0invalid
Precisions
Click to see histograms. Total time spent on operations: 513.0ms
ival-mult: 157.0ms (30.6% of total)
ival-div: 140.0ms (27.3% of total)
ival-add: 127.0ms (24.7% of total)
ival-sqrt: 70.0ms (13.6% of total)
exact: 13.0ms (2.5% of total)
adjust: 3.0ms (0.6% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain96.0ms (3.4%)

Memory
33.9MiB live, 174.4MiB allocated; 16ms 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
33.0ms512×0valid
Compiler

Compiled 74 to 34 computations (54.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 6.0ms (35.3% of total)
ival-sqrt: 4.0ms (23.5% of total)
ival-div: 3.0ms (17.6% of total)
ival-add: 2.0ms (11.8% of total)
exact: 1.0ms (5.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess205.0ms (7.2%)

Memory
-21.3MiB live, 214.7MiB allocated; 26ms 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
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB 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
17.8MiB live, 17.8MiB 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)

rewrite54.0ms (1.9%)

Memory
-8.0MiB live, 84.7MiB allocated; 7ms 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
13.5MiB live, 13.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 870 to 181 computations (79.2% saved)

prune7.0ms (0.3%)

Memory
-33.4MiB live, 13.5MiB allocated; 2ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New49756
Fresh000
Picked101
Done000
Total50757
Accuracy
99.9%
Counts
57 → 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))
30.7%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.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))))))
87.6%
(*.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)))
89.9%
#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))
51.4%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
76.3%
#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))
49.8%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 276 to 208 computations (24.6% saved)

series114.0ms (4%)

Memory
15.7MiB live, 78.1MiB allocated; 99ms 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
81.0ms
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))
6.0ms
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))
6.0ms
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))

rewrite61.0ms (2.2%)

Memory
-30.2MiB live, 66.6MiB allocated; 15ms 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)))

eval26.0ms (0.9%)

Memory
7.5MiB live, 53.0MiB allocated; 7ms collecting garbage
Compiler

Compiled 5 325 to 695 computations (86.9% saved)

prune12.0ms (0.4%)

Memory
34.3MiB live, 34.3MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New2114215
Fresh202
Picked145
Done000
Total2148222
Accuracy
100.0%
Counts
222 → 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))
87.6%
(*.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))
51.4%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
76.3%
#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))
76.3%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))) z))
87.1%
#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))
41.6%
#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))
49.8%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 182 to 139 computations (23.6% saved)

series49.0ms (1.7%)

Memory
-4.1MiB live, 95.4MiB allocated; 9ms collecting garbage
Counts
32 → 138
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)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))) z))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))) z)
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z)))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))
(/.f64 (fma.f64 (sqrt.f64 z) y x) z)
(fma.f64 (sqrt.f64 z) y x)
(*.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 (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z))))
#s(approx (+ (* (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 (* (+ (* (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 (* (+ (* (/ 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 (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ x z))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* x (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ x z)))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (/ x z)))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (+ (* (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 (* (+ (* (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 (* (+ (* (/ 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 (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#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 (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* y (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ 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 (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt (/ 1 z))) (* -1/2 (/ x (* y z))))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (+ (* (/ 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 (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ (+ x (* y (sqrt z))) z))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z)))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (/ (+ x (* y (sqrt z))) z)))
#s(approx (* (+ (* (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 (* (* 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) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x 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 (* (+ (* (/ 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 (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (/ x z))))
#s(approx (+ (* (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) 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 (* (+ (* (/ 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
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) (* (/ (* (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) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (+ (* (sqrt z) y) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) 1)
10.0ms
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) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (+ (* (sqrt z) y) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) 1)
6.0ms
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) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (+ (* (sqrt z) y) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) 1)
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) (* (/ (* (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) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (+ (* (sqrt z) y) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) 1)
4.0ms
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) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (+ (* (sqrt z) y) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) 1)

rewrite135.0ms (4.8%)

Memory
-31.6MiB live, 111.3MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03523272
03812983
014152930
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
170 → 233
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)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))) z))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))) z)
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z)))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))
(/.f64 (fma.f64 (sqrt.f64 z) y x) z)
(fma.f64 (sqrt.f64 z) y x)
(*.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 (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z))))
#s(approx (+ (* (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 (* (+ (* (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 (* (+ (* (/ 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 (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ x z))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* x (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ x z)))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (/ x z)))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (+ (* (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 (* (+ (* (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 (* (+ (* (/ 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 (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#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 (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* y (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ 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 (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt (/ 1 z))) (* -1/2 (/ x (* y z))))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (+ (* (/ 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 (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ (+ x (* y (sqrt z))) z))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z)))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (/ (+ x (* y (sqrt z))) z)))
#s(approx (* (+ (* (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 (* (* 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) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x 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 (* (+ (* (/ 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 (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (/ x z))))
#s(approx (+ (* (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) 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 (* (+ (* (/ 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 (* (/ 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 #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)
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#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y))
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#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 (* (* 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) z) (*.f64 (+.f64 (/.f64 (/.f64 x y) z) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) y))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.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 (* (/ 1 2) (+ x (* y (sqrt z)))) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 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 (* (* 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) 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) (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)))) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x y) (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 (* (/ 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 (+ (* (/ 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 (/ (+ (* (sqrt z) y) x) z) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.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 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (*.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 (pow x -1)) (sqrt z)) (/ 1/2 y)) (*.f64 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) 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) (*.f64 (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)) z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)) #s(literal 1/2 binary64)) z))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (*.f64 (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)) z))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 y x) (pow.f64 z #s(literal -1 binary64))) z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal -1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (neg.f64 (*.f64 (fma.f64 (*.f64 y (neg.f64 (pow.f64 (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) 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) 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 (*.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 (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (*.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) #s(literal -1/2 binary64)))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z)))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z))) z)))
#s(approx (/ (+ (* (sqrt z) y) x) z) (neg.f64 (*.f64 y (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) (fma.f64 (*.f64 y (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) #s(literal -1 binary64) (/.f64 x 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 (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal -1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (neg.f64 (*.f64 (fma.f64 (*.f64 y (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) z)))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (neg.f64 (*.f64 y (neg.f64 (sqrt.f64 z)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (neg.f64 (*.f64 (fma.f64 y (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) (neg.f64 (/.f64 x z))) z)))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (neg.f64 (/.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) x)))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 y (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) x) (pow.f64 z #s(literal -1 binary64))) z)))

eval90.0ms (3.2%)

Memory
7.8MiB live, 54.0MiB allocated; 4ms collecting garbage
Compiler

Compiled 9 134 to 1 116 computations (87.8% saved)

prune13.0ms (0.5%)

Memory
27.8MiB live, 27.8MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New2566262
Fresh000
Picked404
Done044
Total26010270
Accuracy
100.0%
Counts
270 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
51.4%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
76.3%
#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))
41.5%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) z))) z))
87.1%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y)) x))
39.2%
#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))
69.6%
#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 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z)) y)) x))
38.9%
#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))
69.5%
#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)) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z))) y)) x))
49.8%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 604 to 416 computations (31.1% saved)

series57.0ms (2%)

Memory
-28.5MiB live, 114.2MiB allocated; 12ms collecting garbage
Counts
50 → 141
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y)) x))
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y)) x)
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y))
(*.f64 (fma.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y)
(fma.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(sqrt.f64 z)
z
(/.f64 #s(literal 1/2 binary64) y)
y
#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)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) z))) z))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) z))) z)
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) z)))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) z))
(/.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) z)
#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))
(*.f64 (sqrt.f64 z) y)
#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 #s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z))) 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)) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z))) 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)) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z))) y))
(*.f64 #s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z))) y)
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z)))
(neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z))
(*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z)
(-.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 z y)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) x) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) x)
(neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(literal 1/2 binary64) (*.f64 z y))
(*.f64 z y)
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 (* (+ (* (* 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 (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx x #s(hole binary64 x))
#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 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z))))
#s(approx (+ (* (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 (* (/ (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 (neg (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z)) #s(hole binary64 (* 1/2 (* (/ 1 x) (sqrt z)))))
#s(approx (neg (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z)) #s(hole binary64 (/ (- (* 1/2 (/ x y)) (* -1/2 (sqrt z))) x)))
#s(approx (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z) #s(hole binary64 (* -1/2 (* (/ 1 x) (sqrt z)))))
#s(approx (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z) #s(hole binary64 (/ (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))) x)))
#s(approx (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) #s(hole binary64 (* -1/2 (* (/ 1 x) (sqrt (/ 1 z))))))
#s(approx (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) #s(hole binary64 (/ (+ (* -1/2 (sqrt (/ 1 z))) (* -1/2 (/ x (* y z)))) x)))
#s(approx (* (/ (neg (pow (sqrt z) -1)) x) 1/2) #s(hole binary64 (* -1/2 (* (/ 1 x) (sqrt (/ 1 z))))))
#s(approx (/ (neg (pow (sqrt z) -1)) x) #s(hole binary64 (* -1 (* (/ 1 x) (sqrt (/ 1 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 (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 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ x z))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* x (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ x z)))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (/ x z)))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (+ (* (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 (neg (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z)) #s(hole binary64 (/ 1/2 y)))
#s(approx (neg (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z)) #s(hole binary64 (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))
#s(approx (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z) #s(hole binary64 (/ -1/2 y)))
#s(approx (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z) #s(hole binary64 (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))
#s(approx (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) #s(hole binary64 (/ -1/2 (* y z))))
#s(approx (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) #s(hole binary64 (- (* -1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y 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 (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#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 y #s(hole binary64 y))
#s(approx (* (sqrt z) y) #s(hole binary64 (* y (sqrt z))))
#s(approx (neg (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) y)))
#s(approx (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z) #s(hole binary64 (/ (- (* -1/2 (* (/ y x) (sqrt z))) 1/2) y)))
#s(approx (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) #s(hole binary64 (/ (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) y)))
#s(approx (/ 1/2 (* z y)) #s(hole binary64 (/ 1/2 (* y z))))
#s(approx (* z y) #s(hole binary64 (* y z)))
#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 (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* y (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (neg (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z)) #s(hole binary64 (- (* 1/2 (/ 1 y)) (* -1/2 (* (/ 1 x) (sqrt z))))))
#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 (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt (/ 1 z))) (* -1/2 (/ x (* y z))))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))))
#s(approx (+ (* (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 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (sqrt z) #s(hole binary64 (sqrt z)))
#s(approx z #s(hole binary64 z))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ (+ x (* y (sqrt z))) z))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z)))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (/ (+ x (* y (sqrt z))) z)))
#s(approx (neg (sqrt z)) #s(hole binary64 (* -1 (sqrt z))))
#s(approx (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) #s(hole binary64 (/ (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) z)))
#s(approx (neg (pow (sqrt z) -1)) #s(hole binary64 (* -1 (sqrt (/ 1 z)))))
#s(approx (pow (sqrt z) -1) #s(hole binary64 (sqrt (/ 1 z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (+ (* (/ (* (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 (* (* 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) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (neg (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z)) #s(hole binary64 (* z (- (* 1/2 (/ 1 (* y z))) (* -1/2 (* (/ 1 x) (sqrt (/ 1 z))))))))
#s(approx (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z) #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 (* (+ (* (* 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) #s(hole binary64 (* -1 (* (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)))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (/ x z))))
#s(approx (+ (* (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) y) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt 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 (neg (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z)) #s(hole binary64 (* z (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y z)))))))
#s(approx (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z) #s(hole binary64 (* -1 (* z (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y z))))))))
Calls

9 calls:

TimeVariablePointExpression
10.0ms
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) (* (+ (* (* 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)) (/ 1/2 x) 1/2 x (sqrt z) z (/ 1/2 y) y (* (/ 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) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (+ (* (sqrt z) y) x) (* (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) (* (+ (* (* 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) (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (neg (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z)) (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z) (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ (neg (pow (sqrt z) -1)) x) (neg (pow (sqrt z) -1)) (pow (sqrt z) -1) -1 (/ 1/2 (* z y)) (* z y))
7.0ms
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) (* (+ (* (* 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)) (/ 1/2 x) 1/2 x (sqrt z) z (/ 1/2 y) y (* (/ 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) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (+ (* (sqrt z) y) x) (* (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) (* (+ (* (* 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) (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (neg (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z)) (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z) (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ (neg (pow (sqrt z) -1)) x) (neg (pow (sqrt z) -1)) (pow (sqrt z) -1) -1 (/ 1/2 (* z y)) (* z y))
6.0ms
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) (* (+ (* (* 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)) (/ 1/2 x) 1/2 x (sqrt z) z (/ 1/2 y) y (* (/ 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) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (+ (* (sqrt z) y) x) (* (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) (* (+ (* (* 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) (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (neg (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z)) (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z) (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ (neg (pow (sqrt z) -1)) x) (neg (pow (sqrt z) -1)) (pow (sqrt z) -1) -1 (/ 1/2 (* z y)) (* z y))
6.0ms
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) (* (+ (* (* 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)) (/ 1/2 x) 1/2 x (sqrt z) z (/ 1/2 y) y (* (/ 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) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (+ (* (sqrt z) y) x) (* (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) (* (+ (* (* 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) (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (neg (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z)) (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z) (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ (neg (pow (sqrt z) -1)) x) (neg (pow (sqrt z) -1)) (pow (sqrt z) -1) -1 (/ 1/2 (* z y)) (* z y))
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) (* (+ (* (* 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)) (/ 1/2 x) 1/2 x (sqrt z) z (/ 1/2 y) y (* (/ 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) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (+ (* (sqrt z) y) x) (* (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) (* (+ (* (* 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) (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (neg (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z)) (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z) (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ (neg (pow (sqrt z) -1)) x) (neg (pow (sqrt z) -1)) (pow (sqrt z) -1) -1 (/ 1/2 (* z y)) (* z y))

rewrite96.0ms (3.4%)

Memory
-1.6MiB live, 91.4MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03914004
04373673
015663499
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
191 → 267
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y)) x))
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y)) x)
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y))
(*.f64 (fma.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y)
(fma.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(sqrt.f64 z)
z
(/.f64 #s(literal 1/2 binary64) y)
y
#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)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) z))) z))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) z))) z)
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) z)))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) z))
(/.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) z)
#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))
(*.f64 (sqrt.f64 z) y)
#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 #s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z))) 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)) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z))) 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)) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z))) y))
(*.f64 #s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z))) y)
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z)))
(neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z))
(*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z)
(-.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 z y)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) x) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) x)
(neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(literal 1/2 binary64) (*.f64 z y))
(*.f64 z y)
#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 (* (+ (* (* 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 (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx x #s(hole binary64 x))
#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 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z))))
#s(approx (+ (* (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 (* (/ (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 (neg (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z)) #s(hole binary64 (* 1/2 (* (/ 1 x) (sqrt z)))))
#s(approx (neg (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z)) #s(hole binary64 (/ (- (* 1/2 (/ x y)) (* -1/2 (sqrt z))) x)))
#s(approx (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z) #s(hole binary64 (* -1/2 (* (/ 1 x) (sqrt z)))))
#s(approx (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z) #s(hole binary64 (/ (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))) x)))
#s(approx (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) #s(hole binary64 (* -1/2 (* (/ 1 x) (sqrt (/ 1 z))))))
#s(approx (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) #s(hole binary64 (/ (+ (* -1/2 (sqrt (/ 1 z))) (* -1/2 (/ x (* y z)))) x)))
#s(approx (* (/ (neg (pow (sqrt z) -1)) x) 1/2) #s(hole binary64 (* -1/2 (* (/ 1 x) (sqrt (/ 1 z))))))
#s(approx (/ (neg (pow (sqrt z) -1)) x) #s(hole binary64 (* -1 (* (/ 1 x) (sqrt (/ 1 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 (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 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ x z))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* x (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ x z)))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (/ x z)))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (+ (* (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 (neg (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z)) #s(hole binary64 (/ 1/2 y)))
#s(approx (neg (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z)) #s(hole binary64 (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))
#s(approx (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z) #s(hole binary64 (/ -1/2 y)))
#s(approx (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z) #s(hole binary64 (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))
#s(approx (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) #s(hole binary64 (/ -1/2 (* y z))))
#s(approx (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) #s(hole binary64 (- (* -1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y 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 (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#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 y #s(hole binary64 y))
#s(approx (* (sqrt z) y) #s(hole binary64 (* y (sqrt z))))
#s(approx (neg (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) y)))
#s(approx (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z) #s(hole binary64 (/ (- (* -1/2 (* (/ y x) (sqrt z))) 1/2) y)))
#s(approx (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) #s(hole binary64 (/ (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) y)))
#s(approx (/ 1/2 (* z y)) #s(hole binary64 (/ 1/2 (* y z))))
#s(approx (* z y) #s(hole binary64 (* y z)))
#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 (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* y (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (neg (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z)) #s(hole binary64 (- (* 1/2 (/ 1 y)) (* -1/2 (* (/ 1 x) (sqrt z))))))
#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 (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt (/ 1 z))) (* -1/2 (/ x (* y z))))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))))
#s(approx (+ (* (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 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (sqrt z) #s(hole binary64 (sqrt z)))
#s(approx z #s(hole binary64 z))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ (+ x (* y (sqrt z))) z))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z)))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (/ (+ x (* y (sqrt z))) z)))
#s(approx (neg (sqrt z)) #s(hole binary64 (* -1 (sqrt z))))
#s(approx (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) #s(hole binary64 (/ (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) z)))
#s(approx (neg (pow (sqrt z) -1)) #s(hole binary64 (* -1 (sqrt (/ 1 z)))))
#s(approx (pow (sqrt z) -1) #s(hole binary64 (sqrt (/ 1 z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (+ (* (/ (* (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 (* (* 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) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (neg (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z)) #s(hole binary64 (* z (- (* 1/2 (/ 1 (* y z))) (* -1/2 (* (/ 1 x) (sqrt (/ 1 z))))))))
#s(approx (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z) #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 (* (+ (* (* 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) #s(hole binary64 (* -1 (* (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)))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (/ x z))))
#s(approx (+ (* (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) y) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt 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 (neg (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z)) #s(hole binary64 (* z (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y z)))))))
#s(approx (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z) #s(hole binary64 (* -1 (* z (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y z))))))))
Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y)) x))
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y)) x)
(*.f64 x #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y)))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y))
(*.f64 (fma.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y)
(*.f64 y (fma.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z)) (*.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y))) (-.f64 (*.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) y)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z)) (*.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z)))
(fma.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (sqrt.f64 z) #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z)))
(+.f64 (*.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) y))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z)))
#s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) (neg.f64 x))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(pow.f64 z #s(literal 1/2 binary64))
(sqrt.f64 z)
z
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 y))
(/.f64 #s(literal 1/2 binary64) y)
y
#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 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) z)) #s(literal 1/2 binary64)) z))
(*.f64 (*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) z)) #s(literal 1/2 binary64)) z)
(*.f64 z (*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) z)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) z)) z))
(*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) z)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) z)))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) z))
(/.f64 (neg.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))) (neg.f64 z))
(/.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) z)
#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))
(*.f64 (sqrt.f64 z) y)
(*.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 #s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (*.f64 (neg.f64 (/.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 (neg.f64 (/.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 (neg.f64 (/.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 (neg.f64 (/.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 (neg.f64 (/.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 (neg.f64 (/.f64 (sqrt.f64 z) x)) #s(literal -1/2 binary64))))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (*.f64 (neg.f64 (/.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 (neg.f64 (/.f64 (sqrt.f64 z) x)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (/.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)
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#s(approx (* z y) (*.f64 z y))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y))
#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 (* (* 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 z #s(literal -1/2 binary64)))) y))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (+.f64 (/.f64 (/.f64 x y) z) (pow.f64 z #s(literal -1/2 binary64))) y))
#s(approx (/ (+ (* (sqrt z) y) x) z) (*.f64 (+.f64 (/.f64 (/.f64 x y) z) (pow.f64 z #s(literal -1/2 binary64))) y))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y))
#s(approx (neg (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z)) (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 #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 (* (* 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 z #s(literal -1/2 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 z #s(literal -1/2 binary64)))) y)))
#s(approx (/ (+ (* (sqrt z) y) x) z) (neg.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) z) #s(literal -1 binary64) (neg.f64 (pow.f64 z #s(literal -1/2 binary64)))) 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 (* (/ 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 (+ (* (/ 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 (/ (+ (* (sqrt z) y) x) z) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))
#s(approx (neg (sqrt z)) (neg.f64 (sqrt.f64 z)))
#s(approx (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) (/.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)) z))
#s(approx (neg (pow (sqrt z) -1)) (neg.f64 (pow.f64 z #s(literal -1/2 binary64))))
#s(approx (pow (sqrt z) -1) (pow.f64 z #s(literal -1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z)) #s(literal 1/2 binary64)) z))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 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 z #s(literal -1/2 binary64)) 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 (pow.f64 z #s(literal -1/2 binary64)) 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 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) z) y)) z))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z)) #s(literal 1/2 binary64)) z))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z)) z))
#s(approx (neg (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z)) (*.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) z) y)) z))
#s(approx (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (pow.f64 z #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) z) y)) z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal -1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (neg.f64 (*.f64 (fma.f64 (*.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) 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 z #s(literal -1/2 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 z #s(literal -1/2 binary64)))) 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 (/.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 (*.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64)))) 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 (neg.f64 (/.f64 (sqrt.f64 z) x)) #s(literal -1/2 binary64)))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x)) (pow.f64 (*.f64 z y) #s(literal -1 binary64)))) (neg.f64 z)))
#s(approx (sqrt z) (neg.f64 (neg.f64 (sqrt.f64 z))))
#s(approx (* (* (/ y x) (sqrt z)) 1/2) (*.f64 (/.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) x) #s(literal -1/2 binary64)))
#s(approx (* (/ y x) (sqrt z)) (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 z #s(literal -1/2 binary64)) y (/.f64 x z))) z)))
#s(approx (/ (+ (* (sqrt z) y) x) z) (neg.f64 (*.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) (fma.f64 (*.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64)))) #s(literal -1 binary64) (/.f64 x z)))
#s(approx (+ (* (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 z #s(literal -1/2 binary64))) (neg.f64 (/.f64 x z))) z)))
#s(approx (* (sqrt z) y) (neg.f64 (*.f64 y (neg.f64 (sqrt.f64 z)))))
#s(approx (* (/ (neg (sqrt z)) x) -1/2) (*.f64 (neg.f64 (/.f64 (sqrt.f64 z) x)) #s(literal -1/2 binary64)))
#s(approx (/ (neg (sqrt z)) x) (neg.f64 (/.f64 (sqrt.f64 z) x)))
#s(approx (neg (sqrt z)) (neg.f64 (sqrt.f64 z)))
#s(approx (neg (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z)) (*.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) z) y)) z))
#s(approx (* (- (* (/ (neg (pow (sqrt z) -1)) x) 1/2) (/ 1/2 (* z y))) z) (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) z) y)) z)))

eval50.0ms (1.8%)

Memory
16.7MiB live, 108.3MiB allocated; 23ms collecting garbage
Compiler

Compiled 14 869 to 1 626 computations (89.1% saved)

prune21.0ms (0.8%)

Memory
17.8MiB live, 60.6MiB allocated; 6ms collecting garbage
Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New3173320
Fresh101
Picked235
Done044
Total32010330
Accuracy
100.0%
Counts
330 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
51.4%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
76.3%
#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))
41.5%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) z))) z))
39.2%
#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))
38.9%
#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))
38.9%
#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 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 z)) #s(literal -1/2 binary64))) y)) x))
69.6%
#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)) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z))) y)) x))
69.6%
#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)) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z))) y)) x))
49.8%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 1 040 to 406 computations (61% saved)

regimes156.0ms (5.5%)

Memory
-21.7MiB live, 114.8MiB allocated; 61ms collecting garbage
Counts
21 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(*.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 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) z))) z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))) z))
#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 #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 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 z)) #s(literal -1/2 binary64))) y)) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 #s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) 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) (*.f64 #s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z))) y)) 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))
#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)) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z))) y)) x))
#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)) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z))) y)) x))
#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 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z)) y)) x))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.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))))))
Outputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
Calls

7 calls:

63.0ms
y
40.0ms
(+.f64 x (*.f64 y (sqrt.f64 z)))
29.0ms
(sqrt.f64 z)
6.0ms
z
6.0ms
x
Results
AccuracySegmentsBranch
99.8%1(sqrt.f64 z)
99.8%1(*.f64 y (sqrt.f64 z))
99.8%1(+.f64 x (*.f64 y (sqrt.f64 z)))
99.8%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
99.8%1x
99.8%1y
99.8%1z
Compiler

Compiled 25 to 34 computations (-36% saved)

regimes10.0ms (0.4%)

Memory
38.8MiB live, 38.8MiB allocated; 0ms collecting garbage
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Calls

7 calls:

2.0ms
x
1.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
1.0ms
(+.f64 x (*.f64 y (sqrt.f64 z)))
1.0ms
z
1.0ms
(sqrt.f64 z)
Results
AccuracySegmentsBranch
65.8%4(sqrt.f64 z)
76.3%3(*.f64 y (sqrt.f64 z))
62.3%5(+.f64 x (*.f64 y (sqrt.f64 z)))
62.3%5(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
78.8%3x
73.7%3y
65.8%4z
Compiler

Compiled 25 to 34 computations (-36% saved)

regimes18.0ms (0.6%)

Memory
-15.8MiB live, 29.9MiB allocated; 12ms 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 y (sqrt.f64 z))
1.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
1.0ms
(+.f64 x (*.f64 y (sqrt.f64 z)))
1.0ms
x
1.0ms
(sqrt.f64 z)
Results
AccuracySegmentsBranch
49.8%1(+.f64 x (*.f64 y (sqrt.f64 z)))
49.8%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
49.8%1(sqrt.f64 z)
49.8%1z
49.8%1y
49.8%1(*.f64 y (sqrt.f64 z))
49.8%1x
Compiler

Compiled 25 to 34 computations (-36% saved)

bsearch36.0ms (1.3%)

Memory
7.4MiB live, 49.4MiB allocated; 13ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
1.0292349036578162e+69
2.6896134454641393e+70
22.0ms
-5.349006325733802e-16
-2.4700907661102446e-17
Samples
13.0ms224×0valid
Compiler

Compiled 447 to 436 computations (2.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (40.1% of total)
ival-sqrt: 2.0ms (26.8% of total)
ival-div: 1.0ms (13.4% of total)
ival-add: 1.0ms (13.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify43.0ms (1.5%)

Memory
-9.9MiB live, 36.8MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02555
14555
29055
332455
4150255
5619755
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(if (<=.f64 x #s(literal -3123491078962357/40564819207303340847894502572032 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 x #s(literal 1720000000000000048129293532935841499075052627076558582554365358243840 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))
Outputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(if (<=.f64 x #s(literal -3123491078962357/40564819207303340847894502572032 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 x #s(literal 1720000000000000048129293532935841499075052627076558582554365358243840 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))))
(if (or (<=.f64 x #s(literal -3123491078962357/40564819207303340847894502572032 binary64)) (not (<=.f64 x #s(literal 1720000000000000048129293532935841499075052627076558582554365358243840 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))

derivations5.0ms (0.2%)

Memory
8.2MiB live, 8.2MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 61 to 26 computations (57.4% saved)

preprocess80.0ms (2.8%)

Memory
-22.0MiB live, 30.4MiB allocated; 24ms collecting garbage
Compiler

Compiled 142 to 72 computations (49.3% saved)

end0.0ms (0%)

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

Profiling

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