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

Time bar (total: 1.5s)

start0.0ms (0%)

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

analyze36.0ms (2.3%)

Memory
-4.3MiB live, 14.3MiB allocated; 1ms 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)

sample681.0ms (44%)

Memory
15.8MiB live, 236.8MiB allocated; 20ms collecting garbage
Samples
334.0ms8 256×74valid
88.0ms2 075×74invalid
Precisions
Click to see histograms. Total time spent on operations: 197.0ms
ival-mult!: 88.0ms (44.6% of total)
ival-sqrt: 76.0ms (38.5% of total)
ival-add!: 23.0ms (11.7% of total)
adjust: 10.0ms (5.1% of total)
Bogosity

explain74.0ms (4.8%)

Memory
-13.2MiB live, 42.3MiB allocated; 3ms 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
25.0ms512×74valid
Compiler

Compiled 74 to 34 computations (54.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-sqrt: 4.0ms (39.5% of total)
ival-mult!: 4.0ms (39.5% of total)
adjust: 1.0ms (9.9% of total)
ival-add!: 1.0ms (9.9% of total)

preprocess172.0ms (11.1%)

Memory
8.8MiB live, 29.1MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 10 to 10 computations (0% saved)

eval0.0ms (0%)

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

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.3MiB live, 0.3MiB 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)

series21.0ms (1.4%)

Memory
-7.2MiB live, 4.2MiB allocated; 1ms 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
12.0ms
y
@0
((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z)
2.0ms
x
@-inf
((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z)
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)

rewrite49.0ms (3.2%)

Memory
1.7MiB live, 9.2MiB allocated; 1ms 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))))

eval9.0ms (0.6%)

Memory
-3.0MiB live, 4.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 870 to 181 computations (79.2% saved)

prune3.0ms (0.2%)

Memory
3.7MiB live, 3.7MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New51556
Fresh000
Picked101
Done000
Total52557
Accuracy
99.9%
Counts
57 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
91.8%
#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))
51.8%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
84.3%
#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))
48.7%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 168 to 142 computations (15.5% saved)

series33.0ms (2.1%)

Memory
0.5MiB live, 15.9MiB allocated; 3ms 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
5.0ms
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
@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))
4.0ms
z
@-inf
((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (sqrt z) y) 1/2) (* (sqrt z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (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))
4.0ms
x
@-inf
((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (sqrt z) y) 1/2) (* (sqrt z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (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))

rewrite54.0ms (3.5%)

Memory
3.6MiB live, 10.8MiB allocated; 0ms 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)))

eval27.0ms (1.8%)

Memory
-9.0MiB live, 17.6MiB allocated; 8ms collecting garbage
Compiler

Compiled 5 325 to 695 computations (86.9% saved)

prune11.0ms (0.7%)

Memory
3.9MiB live, 11.8MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New2123215
Fresh000
Picked145
Done000
Total2137220
Accuracy
100.0%
Counts
220 → 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))
86.9%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
51.8%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
84.3%
#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))
91.2%
#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))
43.8%
#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))
48.7%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 149 to 117 computations (21.5% saved)

series25.0ms (1.6%)

Memory
-0.3MiB live, 15.1MiB allocated; 1ms collecting garbage
Counts
26 → 102
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x))
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x)
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))
(/.f64 (*.f64 (sqrt.f64 z) y) x)
(*.f64 (sqrt.f64 z) y)
(sqrt.f64 z)
z
y
x
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y)) x))
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y)) x)
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
(/.f64 y x)
#s(literal 1 binary64)
Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z)))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x)))
#s(approx (* (/ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z)))))
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (* (/ y x) (sqrt z))))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z)))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x)))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (* 1/2 (* (/ 1 x) (sqrt z)))))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (/ (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) x)))
#s(approx (* 1/2 (pow x -1)) #s(hole binary64 (/ 1/2 x)))
#s(approx (pow x -1) #s(hole binary64 (/ 1 x)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (sqrt z))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* y (sqrt z))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* (/ y x) (sqrt z))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (/ (+ x (* y (sqrt z))) x)))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 1/2))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 x))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (+ 1 (* (/ y x) (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* (sqrt z) y) #s(hole binary64 (* y (sqrt z))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) y)))
#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 y)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (sqrt z) #s(hole binary64 (sqrt z)))
#s(approx z #s(hole binary64 z))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (* z (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y z)))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#s(approx (* (/ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (* (sqrt z) y) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (* -1/2 (* (/ (pow (sqrt -1) 2) x) (sqrt z)))))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (pow (sqrt -1) 2) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y z))))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))))
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (/ (* (sqrt z) y) x) 1/2) (/ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (* 1/2 (pow x -1)) (pow x -1) -1 (/ 1/2 y) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) 1)
3.0ms
z
@0
((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (/ (* (sqrt z) y) x) 1/2) (/ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (* 1/2 (pow x -1)) (pow x -1) -1 (/ 1/2 y) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) 1)
3.0ms
y
@-inf
((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (/ (* (sqrt z) y) x) 1/2) (/ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (* 1/2 (pow x -1)) (pow x -1) -1 (/ 1/2 y) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) 1)
3.0ms
z
@-inf
((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (/ (* (sqrt z) y) x) 1/2) (/ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (* 1/2 (pow x -1)) (pow x -1) -1 (/ 1/2 y) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) 1)
2.0ms
y
@inf
((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (/ (* (sqrt z) y) x) 1/2) (/ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (* 1/2 (pow x -1)) (pow x -1) -1 (/ 1/2 y) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) 1)

rewrite61.0ms (3.9%)

Memory
2.2MiB live, 10.5MiB allocated; 1ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval19.0ms (1.2%)

Memory
1.1MiB live, 16.2MiB allocated; 1ms collecting garbage
Compiler

Compiled 6 287 to 791 computations (87.4% saved)

prune8.0ms (0.5%)

Memory
-6.9MiB live, 9.8MiB allocated; 1ms collecting garbage
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New1903193
Fresh000
Picked213
Done044
Total1928200
Accuracy
100.0%
Counts
200 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
51.8%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
84.3%
#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))
43.8%
#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))
38.9%
#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))
43.4%
#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))
71.9%
#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)) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z))) y)) x))
48.7%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 230 to 170 computations (26.1% saved)

series40.0ms (2.6%)

Memory
7.8MiB live, 23.1MiB allocated; 1ms collecting garbage
Counts
36 → 90
Calls
Call 1
Inputs
#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 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z))) 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 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z))) 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 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z))) y))
(*.f64 #s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z))) y)
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z)))
(neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z)
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) (*.f64 z y)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))
#s(literal 1/2 binary64)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
#s(literal 1 binary64)
(sqrt.f64 z)
z
(/.f64 #s(literal 1/2 binary64) (*.f64 z y))
(*.f64 z y)
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 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64))) x))
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64))) x)
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(/.f64 y x)
Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z)))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x)))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z)))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x)))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (* 1/2 (* (/ 1 x) (sqrt z)))))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (/ (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) x)))
#s(approx (neg (* (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) z)) #s(hole binary64 (* 1/2 (* (/ 1 x) (sqrt z)))))
#s(approx (neg (* (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) z)) #s(hole binary64 (/ (- (* 1/2 (/ x y)) (* -1/2 (sqrt z))) x)))
#s(approx (* (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) z) #s(hole binary64 (* -1/2 (* (/ 1 x) (sqrt z)))))
#s(approx (* (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) z) #s(hole binary64 (/ (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))) x)))
#s(approx (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) #s(hole binary64 (* -1/2 (* (/ 1 x) (sqrt (/ 1 z))))))
#s(approx (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) #s(hole binary64 (/ (+ (* -1/2 (sqrt (/ 1 z))) (* -1/2 (/ x (* y z)))) x)))
#s(approx (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) #s(hole binary64 (* -1/2 (* (/ 1 x) (sqrt (/ 1 z))))))
#s(approx (* 1/2 (/ -1 x)) #s(hole binary64 (/ -1/2 x)))
#s(approx (/ -1 x) #s(hole binary64 (/ -1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ (neg (sqrt z)) x) -1/2) #s(hole binary64 (* 1/2 (* (/ 1 x) (sqrt z)))))
#s(approx (/ (neg (sqrt z)) x) #s(hole binary64 (* -1 (* (/ 1 x) (sqrt z)))))
#s(approx (* (* (/ y x) (sqrt z)) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z)))))
#s(approx (* (/ y x) (sqrt z)) #s(hole binary64 (* (/ y x) (sqrt z))))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))
#s(approx (* (+ (* (* 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 (neg (* (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) z)) #s(hole binary64 (/ 1/2 y)))
#s(approx (neg (* (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) z)) #s(hole binary64 (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))
#s(approx (* (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) z) #s(hole binary64 (/ -1/2 y)))
#s(approx (* (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) z) #s(hole binary64 (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))
#s(approx (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) #s(hole binary64 (/ -1/2 (* y z))))
#s(approx (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 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 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) y)))
#s(approx (neg (* (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) z)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) y)))
#s(approx (* (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) z) #s(hole binary64 (/ (- (* -1/2 (* (/ y x) (sqrt z))) 1/2) y)))
#s(approx (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 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 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 (* (+ (* (/ (* (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 (neg (* (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 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) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) #s(hole binary64 (/ (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) z)))
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (sqrt (/ 1 z))))
#s(approx (sqrt z) #s(hole binary64 (sqrt z)))
#s(approx z #s(hole binary64 z))
#s(approx (neg (sqrt z)) #s(hole binary64 (* -1 (sqrt z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))
#s(approx (* (+ (* (* 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 (neg (* (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) z)) #s(hole binary64 (* z (- (* 1/2 (/ 1 (* y z))) (* -1/2 (* (/ 1 x) (sqrt (/ 1 z))))))))
#s(approx (* (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 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 (neg (* (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 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 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) z) #s(hole binary64 (* -1 (* z (+ (* 1/2 (* (/ 1 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 (* (/ (neg (sqrt z)) x) -1/2) #s(hole binary64 (* -1/2 (* (/ (pow (sqrt -1) 2) x) (sqrt z)))))
#s(approx (/ (neg (sqrt z)) x) #s(hole binary64 (* (/ (pow (sqrt -1) 2) x) (sqrt z))))
#s(approx (neg (sqrt z)) #s(hole binary64 (* (sqrt z) (pow (sqrt -1) 2))))
#s(approx (* (* (/ y x) (sqrt z)) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (* (/ y x) (sqrt z)) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
Calls

9 calls:

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

rewrite76.0ms (4.9%)

Memory
-5.4MiB live, 10.2MiB allocated; 1ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02682650
03032437
010052342
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
126 → 181
Calls
Call 1
Inputs
#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 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z))) 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 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z))) 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 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z))) y))
(*.f64 #s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z))) y)
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z)))
(neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z)
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) (*.f64 z y)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))
#s(literal 1/2 binary64)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
#s(literal 1 binary64)
(sqrt.f64 z)
z
(/.f64 #s(literal 1/2 binary64) (*.f64 z y))
(*.f64 z y)
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 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64))) x))
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64))) x)
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(/.f64 y x)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z)))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x)))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z)))))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x)))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (* 1/2 (* (/ 1 x) (sqrt z)))))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (/ (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) x)))
#s(approx (neg (* (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) z)) #s(hole binary64 (* 1/2 (* (/ 1 x) (sqrt z)))))
#s(approx (neg (* (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) z)) #s(hole binary64 (/ (- (* 1/2 (/ x y)) (* -1/2 (sqrt z))) x)))
#s(approx (* (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) z) #s(hole binary64 (* -1/2 (* (/ 1 x) (sqrt z)))))
#s(approx (* (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) z) #s(hole binary64 (/ (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))) x)))
#s(approx (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) #s(hole binary64 (* -1/2 (* (/ 1 x) (sqrt (/ 1 z))))))
#s(approx (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) #s(hole binary64 (/ (+ (* -1/2 (sqrt (/ 1 z))) (* -1/2 (/ x (* y z)))) x)))
#s(approx (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) #s(hole binary64 (* -1/2 (* (/ 1 x) (sqrt (/ 1 z))))))
#s(approx (* 1/2 (/ -1 x)) #s(hole binary64 (/ -1/2 x)))
#s(approx (/ -1 x) #s(hole binary64 (/ -1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ (neg (sqrt z)) x) -1/2) #s(hole binary64 (* 1/2 (* (/ 1 x) (sqrt z)))))
#s(approx (/ (neg (sqrt z)) x) #s(hole binary64 (* -1 (* (/ 1 x) (sqrt z)))))
#s(approx (* (* (/ y x) (sqrt z)) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z)))))
#s(approx (* (/ y x) (sqrt z)) #s(hole binary64 (* (/ y x) (sqrt z))))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))
#s(approx (* (+ (* (* 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 (neg (* (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) z)) #s(hole binary64 (/ 1/2 y)))
#s(approx (neg (* (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) z)) #s(hole binary64 (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))
#s(approx (* (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) z) #s(hole binary64 (/ -1/2 y)))
#s(approx (* (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) z) #s(hole binary64 (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))
#s(approx (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) #s(hole binary64 (/ -1/2 (* y z))))
#s(approx (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 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 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) y)))
#s(approx (neg (* (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) z)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) y)))
#s(approx (* (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) z) #s(hole binary64 (/ (- (* -1/2 (* (/ y x) (sqrt z))) 1/2) y)))
#s(approx (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 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 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 (* (+ (* (/ (* (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 (neg (* (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 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) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) #s(hole binary64 (/ (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) z)))
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (sqrt (/ 1 z))))
#s(approx (sqrt z) #s(hole binary64 (sqrt z)))
#s(approx z #s(hole binary64 z))
#s(approx (neg (sqrt z)) #s(hole binary64 (* -1 (sqrt z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))
#s(approx (* (+ (* (* 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 (neg (* (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) z)) #s(hole binary64 (* z (- (* 1/2 (/ 1 (* y z))) (* -1/2 (* (/ 1 x) (sqrt (/ 1 z))))))))
#s(approx (* (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 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 (neg (* (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 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 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) z) #s(hole binary64 (* -1 (* z (+ (* 1/2 (* (/ 1 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 (* (/ (neg (sqrt z)) x) -1/2) #s(hole binary64 (* -1/2 (* (/ (pow (sqrt -1) 2) x) (sqrt z)))))
#s(approx (/ (neg (sqrt z)) x) #s(hole binary64 (* (/ (pow (sqrt -1) 2) x) (sqrt z))))
#s(approx (neg (sqrt z)) #s(hole binary64 (* (sqrt z) (pow (sqrt -1) 2))))
#s(approx (* (* (/ y x) (sqrt z)) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (* (/ y x) (sqrt z)) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 #s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) y) z)) (neg.f64 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)) (*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) y) z)) (neg.f64 z))) y)) x)
(*.f64 x #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 #s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) y) z)) (neg.f64 z))) y)))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 #s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) y) z)) (neg.f64 z))) y))
(*.f64 #s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) y) z)) (neg.f64 z))) y)
(*.f64 y #s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) y) z)) (neg.f64 z))))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) y) z)) (neg.f64 z)))
(*.f64 (*.f64 #s(literal -1 binary64) z) (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) y) z)))
(*.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) y) z))) z)
(*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) y) z)) z) #s(literal -1 binary64))
(*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) y) z)) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) y) z)) z))
(neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) y) z)) z))
(*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) y) z)) z)
(*.f64 z (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) y) z)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) (pow.f64 (*.f64 z y) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) z) (/.f64 (/.f64 #s(literal 1/2 binary64) y) z))) (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) y) z)))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) z) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x)) (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) z) (/.f64 (/.f64 #s(literal 1/2 binary64) y) z) (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) y) z)))))
(fma.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 z y) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 z y) #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 z y) #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 z y) #s(literal -1 binary64))))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) y) z))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 z y) #s(literal -1 binary64))))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (sqrt.f64 z))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) (neg.f64 x))
#s(literal 1/2 binary64)
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal 1 binary64) (neg.f64 x))
#s(literal -1 binary64)
x
(pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
(sqrt.f64 (pow.f64 z #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 z #s(literal 1/2 binary64))
(sqrt.f64 z)
z
(*.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 z y) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) z) y)
(/.f64 (/.f64 #s(literal 1/2 binary64) y) z)
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 z y)))
(/.f64 #s(literal 1/2 binary64) (*.f64 z y))
(*.f64 z y)
(*.f64 y 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)
(*.f64 x #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 #s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (*.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) #s(literal -1/2 binary64))) y)))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 #s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (*.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) #s(literal -1/2 binary64))) y))
(*.f64 #s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (*.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) #s(literal -1/2 binary64))) y)
(*.f64 y #s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (*.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) #s(literal -1/2 binary64))))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (*.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 z))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (sqrt.f64 z)) x))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1/2 binary64)) x)
(*.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 z))) (neg.f64 x))
(/.f64 (neg.f64 (sqrt.f64 z)) x)
(neg.f64 (/.f64 (sqrt.f64 z) x))
(*.f64 #s(literal -1 binary64) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) #s(literal -1 binary64))
(neg.f64 (sqrt.f64 z))
#s(literal -1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x))
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x)
(*.f64 x #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (sqrt.f64 z))
(*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))
(*.f64 (/.f64 y x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))
(/.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) x)
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 z) y)) (neg.f64 x))
(/.f64 (*.f64 (sqrt.f64 z) y) x)
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 y x)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (/.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) x))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (/.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) x))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z)))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))) x))
#s(approx (neg (* (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) z)) (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z)))
#s(approx (neg (* (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) z)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))) x))
#s(approx (* (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) z) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 z)))
#s(approx (* (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) z) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))) x))
#s(approx (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))))
#s(approx (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (/.f64 x y) z))) x))
#s(approx (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))))
#s(approx (* 1/2 (/ -1 x)) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ -1 x) (/.f64 #s(literal -1 binary64) x))
#s(approx x x)
#s(approx (* (/ (neg (sqrt z)) x) -1/2) (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z)))
#s(approx (/ (neg (sqrt z)) x) (neg.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z))))
#s(approx (* (* (/ y x) (sqrt z)) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))
#s(approx (* (/ y x) (sqrt z)) (/.f64 (*.f64 (sqrt.f64 z) y) x))
#s(approx (/ y x) (/.f64 y x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(literal 1/2 binary64))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)))
#s(approx (neg (* (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) z)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (neg (* (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 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 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) z) (/.f64 #s(literal -1/2 binary64) y))
#s(approx (* (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) z) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) y)))
#s(approx (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) (/.f64 (/.f64 #s(literal -1/2 binary64) y) z))
#s(approx (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) y) z)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) x)))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) x)))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (/.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) y))
#s(approx (neg (* (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) z)) (/.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) y))
#s(approx (* (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) z) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) y))
#s(approx (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) z)) y))
#s(approx (/ 1/2 (* z y)) (/.f64 (/.f64 #s(literal 1/2 binary64) y) z))
#s(approx (* z y) (*.f64 z y))
#s(approx y y)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))) y))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))) y))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y))
#s(approx (* (+ (* (* 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 (neg (* (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 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 (sqrt.f64 z) (/.f64 x y))) y)))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))) y)))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (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) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 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 (/ 1 (sqrt z)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))
#s(approx (sqrt z) (sqrt.f64 z))
#s(approx z z)
#s(approx (neg (sqrt z)) (neg.f64 (sqrt.f64 z)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z))) z))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z))) z))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) z)) z))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) z)) z))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) y) z)) z))
#s(approx (neg (* (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) z)) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) y) z)) z))
#s(approx (* (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) z) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) y) 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)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 x z) #s(literal -1/2 binary64))) z)))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal -1/2 binary64)))
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 x z) #s(literal -1/2 binary64))) z)))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) x) #s(literal -1/2 binary64)))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 #s(literal -1 binary64) x))) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) z)) z)))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (*.f64 (/.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) x) #s(literal -1/2 binary64)))
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 #s(literal -1 binary64) x))) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) z)) z)))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (*.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) #s(literal -1/2 binary64)))
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) y) z)) (neg.f64 z)))
#s(approx (neg (* (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) z)) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) y) z)) z))
#s(approx (* (- (* (* 1/2 (/ -1 x)) (/ 1 (sqrt z))) (/ 1/2 (* z y))) z) (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) y) z)) z)))
#s(approx (sqrt z) (neg.f64 (neg.f64 (sqrt.f64 z))))
#s(approx (* (/ (neg (sqrt z)) x) -1/2) (*.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) #s(literal -1/2 binary64)))
#s(approx (/ (neg (sqrt z)) x) (/.f64 (neg.f64 (sqrt.f64 z)) x))
#s(approx (neg (sqrt z)) (neg.f64 (sqrt.f64 z)))
#s(approx (* (* (/ y x) (sqrt z)) 1/2) (*.f64 (/.f64 (*.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)))

eval23.0ms (1.5%)

Memory
4.1MiB live, 19.0MiB allocated; 2ms collecting garbage
Compiler

Compiled 10 294 to 1 123 computations (89.1% saved)

prune14.0ms (0.9%)

Memory
-5.1MiB live, 12.6MiB allocated; 3ms collecting garbage
Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New2062208
Fresh000
Picked123
Done055
Total2079216
Accuracy
100.0%
Counts
216 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
51.8%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
84.3%
#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))
43.8%
#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))
38.9%
#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))
43.4%
#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))
43.3%
#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))
71.9%
#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)) (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z))) y)) x))
48.7%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 695 to 311 computations (55.3% saved)

regimes28.0ms (1.8%)

Memory
2.4MiB live, 18.0MiB allocated; 1ms collecting garbage
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64))) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 #s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (*.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) #s(literal -1/2 binary64))) y)) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #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 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) 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)) (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (sqrt.f64 z)) (/.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 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z))) 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))
Outputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
Calls

7 calls:

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

regimes9.0ms (0.6%)

Memory
2.7MiB live, 10.6MiB 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 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
Calls

7 calls:

1.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
1.0ms
x
1.0ms
z
1.0ms
(sqrt.f64 z)
1.0ms
y
Results
AccuracySegmentsBranch
63.0%2(sqrt.f64 z)
82.3%3(*.f64 y (sqrt.f64 z))
63.4%5(+.f64 x (*.f64 y (sqrt.f64 z)))
63.4%5(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
73.6%3x
82.1%3y
63.0%2z
Compiler

Compiled 25 to 34 computations (-36% saved)

regimes7.0ms (0.5%)

Memory
-6.3MiB live, 10.0MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

7 calls:

1.0ms
y
1.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
1.0ms
x
1.0ms
(*.f64 y (sqrt.f64 z))
1.0ms
(sqrt.f64 z)
Results
AccuracySegmentsBranch
48.7%1(+.f64 x (*.f64 y (sqrt.f64 z)))
48.7%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
48.7%1(sqrt.f64 z)
48.7%1z
48.7%1x
48.7%1y
48.7%1(*.f64 y (sqrt.f64 z))
Compiler

Compiled 25 to 34 computations (-36% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
736353.1474889638
39260019947673720.0
0.0ms
-1.493416309130195e-38
-2.7747068376376454e-44
Compiler

Compiled 13 to 16 computations (-23.1% saved)

simplify38.0ms (2.5%)

Memory
7.6MiB live, 7.6MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02661
14661
29161
332561
4151261
5629561
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal -1915619426082361/191561942608236107294793378393788647952342390272950272 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) (if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1000000 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Outputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal -1915619426082361/191561942608236107294793378393788647952342390272950272 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) (if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1000000 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))))
(if (or (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal -1915619426082361/191561942608236107294793378393788647952342390272950272 binary64)) (not (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1000000 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))

derivations9.0ms (0.6%)

Memory
-6.7MiB live, 1.1MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 67 to 27 computations (59.7% saved)

preprocess18.0ms (1.1%)

Memory
4.9MiB live, 12.5MiB allocated; 1ms collecting garbage
Compiler

Compiled 154 to 74 computations (51.9% saved)

end0.0ms (0%)

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

Profiling

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