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

Time bar (total: 1.9s)

start0.0ms (0%)

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

analyze48.0ms (2.5%)

Memory
-13.8MiB live, 79.1MiB allocated; 9ms 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)

sample974.0ms (50.2%)

Memory
67.3MiB live, 1 278.8MiB allocated; 279ms collecting garbage
Samples
408.0ms8 256×0valid
91.0ms2 028×0invalid
Precisions
Click to see histograms. Total time spent on operations: 209.0ms
ival-mult!: 96.0ms (46% of total)
ival-sqrt: 87.0ms (41.7% of total)
ival-add!: 24.0ms (11.5% of total)
adjust: 2.0ms (1% of total)
Bogosity

explain118.0ms (6.1%)

Memory
-41.5MiB live, 98.6MiB allocated; 11ms 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
26.0ms512×0valid
Compiler

Compiled 74 to 34 computations (54.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult!: 5.0ms (49.4% of total)
ival-sqrt: 4.0ms (39.5% of total)
ival-add!: 1.0ms (9.9% of total)
adjust: 0.0ms (0% of total)

preprocess43.0ms (2.2%)

Memory
35.7MiB live, 35.7MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

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

Compiled 20 to 20 computations (0% saved)

series9.0ms (0.4%)

Memory
10.7MiB live, 10.7MiB allocated; 0ms collecting garbage
Counts
10 → 28
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 x (*.f64 y (sqrt.f64 z)))
x
(*.f64 y (sqrt.f64 z))
y
(sqrt.f64 z)
z
Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (sqrt z))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 x))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* y (sqrt z)) #s(hole binary64 (* y (sqrt z))))
#s(approx y #s(hole binary64 y))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (sqrt z) #s(hole binary64 (sqrt z)))
#s(approx z #s(hole binary64 z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (* y (sqrt z)) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
Calls

9 calls:

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

rewrite103.0ms (5.3%)

Memory
-30.8MiB live, 64.1MiB allocated; 10ms 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 (+.f64 (neg.f64 (/.f64 x y)) (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))))

eval5.0ms (0.2%)

Memory
7.7MiB live, 7.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 790 to 181 computations (77.1% saved)

prune4.0ms (0.2%)

Memory
6.1MiB live, 6.1MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New42648
Fresh000
Picked101
Done000
Total43649
Accuracy
99.9%
Counts
49 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
31.5%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y)) (*.f64 x (*.f64 (sqrt.f64 z) y))))))
86.9%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)))
46.9%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
80.3%
#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))
55.2%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 232 to 174 computations (25% saved)

series39.0ms (2%)

Memory
6.3MiB live, 51.8MiB allocated; 3ms collecting garbage
Counts
26 → 100
Calls
Call 1
Inputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 z) y x)
(sqrt.f64 z)
z
y
x
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 z) y)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (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)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))
(*.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)
Outputs
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (sqrt z))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* 1/2 (+ (* (/ 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 (+ 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 (* (+ (* (/ 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 (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 x))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* (* 1/2 (+ (* (/ 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 (+ 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 (* (+ (* (/ 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 (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* (* 1/2 (+ (* (/ 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 (+ x (* y (sqrt z))) #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 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 (* (* 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 (+ x (* y (sqrt z))) #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 (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (* 1/2 (+ (* (/ 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 (+ x (* y (sqrt z))) #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 (* (+ (* (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 (* (* 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 (+ x (* y (sqrt z))) #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 (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (* (* (sqrt z) y) 1/2) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (sqrt z) y) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x 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 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
14.0ms
y
@-inf
((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (sqrt z) y) 1/2) (* (sqrt z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 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) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 2 (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x))
4.0ms
z
@-inf
((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (sqrt z) y) 1/2) (* (sqrt z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 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) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 2 (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x))
4.0ms
x
@inf
((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (sqrt z) y) 1/2) (* (sqrt z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 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) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 2 (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x))
3.0ms
x
@-inf
((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (sqrt z) y) 1/2) (* (sqrt z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 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) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 2 (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x))
3.0ms
z
@0
((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (sqrt z) y) 1/2) (* (sqrt z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 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) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 2 (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x))

rewrite75.0ms (3.9%)

Memory
-14.7MiB live, 76.6MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02642064
02941871
010591859
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
126 → 194
Calls
Call 1
Inputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 z) y x)
(sqrt.f64 z)
z
y
x
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 z) y)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (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)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))
(*.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(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (sqrt z))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* 1/2 (+ (* (/ 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 (+ 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 (* (+ (* (/ 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 (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 x))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* (* 1/2 (+ (* (/ 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 (+ 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 (* (+ (* (/ 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 (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* (* 1/2 (+ (* (/ 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 (+ x (* y (sqrt z))) #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 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 (* (* 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 (+ x (* y (sqrt z))) #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 (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (* 1/2 (+ (* (/ 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 (+ x (* y (sqrt z))) #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 (* (+ (* (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 (* (* 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 (+ x (* y (sqrt z))) #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 (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (* (* (sqrt z) y) 1/2) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (sqrt z) y) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x 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 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
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y))) (-.f64 x (*.f64 (sqrt.f64 z) y)))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y)) (*.f64 x x)) (-.f64 (*.f64 (sqrt.f64 z) y) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y)) (*.f64 x (*.f64 (sqrt.f64 z) y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 z) y) x))))
(fma.f64 (sqrt.f64 z) y x)
(fma.f64 y (sqrt.f64 z) x)
(-.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)))
(+.f64 (*.f64 (sqrt.f64 z) y) x)
(+.f64 x (*.f64 (sqrt.f64 z) y))
(pow.f64 z #s(literal 1/2 binary64))
(sqrt.f64 z)
z
y
x
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z))
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) #s(literal 1/2 binary64)) z))
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) #s(literal 1/2 binary64)) z)
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) z))
(*.f64 z (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)) z (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z))
(fma.f64 z (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)) (*.f64 z (*.f64 (/.f64 x z) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)) z) (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z))
(+.f64 (*.f64 z (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64))) (*.f64 z (*.f64 (/.f64 x z) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x z) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) (*.f64 (/.f64 x z) (/.f64 x z))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (/.f64 x z)))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (-.f64 (*.f64 (/.f64 x z) (/.f64 x z)) (*.f64 (*.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))
(fma.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x z))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (/.f64 x z))
(+.f64 (/.f64 x z) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))
(pow.f64 (/.f64 #s(literal 1 binary64) z) #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 (/.f64 #s(literal 1 binary64) z))
#s(literal 1 binary64)
(/.f64 (neg.f64 x) (neg.f64 z))
(/.f64 x z)
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.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 (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (sqrt.f64 z) y) 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(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 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (* 1/2 (+ (* (/ 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)))
#s(approx (/ x z) (/.f64 x z))
#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 (* (+ (* (/ 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 (* (/ 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)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) z)) x))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 x z))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (fma.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) z)) 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 (* (+ (* (/ 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 (* (/ 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 (* (/ 1 2) (+ x (* y (sqrt z)))) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x)))
#s(approx (* (* 1/2 (+ (* (/ 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x)) (/.f64 #s(literal 1 binary64) z)) 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 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 y y)
#s(approx (* (* (sqrt z) y) 1/2) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
#s(approx (* (sqrt z) y) (*.f64 (sqrt.f64 z) y))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #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)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.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 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) y))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (+.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y))
#s(approx (+ x (* y (sqrt z))) (*.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 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z) (/.f64 #s(literal 1 binary64) y)) 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 (+.f64 (neg.f64 (/.f64 x y)) (neg.f64 (sqrt.f64 z))) y)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)))
#s(approx (* (* 1/2 (+ (* (/ 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 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) y)))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 x (*.f64 y z))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) y)))
#s(approx (+ x (* y (sqrt z))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 x y)) (neg.f64 (sqrt.f64 z))) y)))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 x y)) (neg.f64 (sqrt.f64 z))) y)))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (/.f64 #s(literal 1 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 (sqrt z) (sqrt.f64 z))
#s(approx z z)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (+ (* (/ 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)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) #s(literal 1/2 binary64)) 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 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) #s(literal 1/2 binary64)) z))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) #s(literal 1/2 binary64)) 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 (* (+ (* (/ 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 y x) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) z)) z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal -1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (neg.f64 (*.f64 (fma.f64 (*.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) 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 y (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (neg.f64 (/.f64 x z))) z)))
#s(approx (sqrt z) (neg.f64 (neg.f64 (sqrt.f64 z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal -1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (neg.f64 (*.f64 (fma.f64 (*.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) z)))
#s(approx (* (* (sqrt z) y) 1/2) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal -1/2 binary64)))
#s(approx (* (sqrt z) y) (neg.f64 (*.f64 y (neg.f64 (sqrt.f64 z)))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (neg.f64 (*.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))) (neg.f64 (*.f64 y (neg.f64 (sqrt.f64 z)))))
#s(approx (+ x (* y (sqrt z))) (neg.f64 (*.f64 (fma.f64 y (neg.f64 (/.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 y (neg.f64 (/.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 y (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) x) (/.f64 #s(literal 1 binary64) z)) z)))

eval20.0ms (1%)

Memory
-1.6MiB live, 42.8MiB allocated; 9ms collecting garbage
Compiler

Compiled 4 181 to 690 computations (83.5% saved)

prune6.0ms (0.3%)

Memory
20.9MiB live, 20.9MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1594163
Fresh101
Picked235
Done000
Total1627169
Accuracy
100.0%
Counts
169 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
85.6%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z) (/.f64 #s(literal 1 binary64) y)) y)) x)))
86.9%
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
46.9%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
80.3%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) z))
40.5%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))) z))
55.2%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 145 to 113 computations (22.1% saved)

series32.0ms (1.6%)

Memory
10.5MiB live, 104.2MiB allocated; 4ms collecting garbage
Counts
34 → 139
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))) z))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))) z)
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)))
#s(literal 1/2 binary64)
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
#s(literal 1 binary64)
(sqrt.f64 z)
z
y
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) z))
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) z)
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
(/.f64 x z)
x
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
#s(approx (+ x (* y (sqrt z))) (*.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)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z) (/.f64 #s(literal 1 binary64) y)) y)) x)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z) (/.f64 #s(literal 1 binary64) y)) y)) x))
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z) (/.f64 #s(literal 1 binary64) y)) y)) x)
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z) (/.f64 #s(literal 1 binary64) y)) y))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z) (/.f64 #s(literal 1 binary64) y)) y)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) y)
Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* (* 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 (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z))))))
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z))))
#s(approx (/ x z) #s(hole binary64 (/ x z)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ x (* y (sqrt z))) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (+ x (* y (sqrt z))) 1/2) #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 (* (+ (* (/ 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 x) (sqrt z)) (/ 1 y)) y) #s(hole binary64 (* (/ y x) (sqrt z))))
#s(approx (* (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) y) #s(hole binary64 (/ (+ x (* y (sqrt z))) x)))
#s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) #s(hole binary64 (* (/ 1 x) (sqrt z))))
#s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) #s(hole binary64 (/ (+ (sqrt z) (/ x y)) x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 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 (* (* 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 (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ x z))))
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* x (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (/ x z)))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (* (+ x (* y (sqrt z))) 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ x (* y (sqrt z))) 1/2) #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 (* (+ (* (/ 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 x) (sqrt z)) (/ 1 y)) y) #s(hole binary64 1))
#s(approx (* (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) y) #s(hole binary64 (+ 1 (* (/ y x) (sqrt z)))))
#s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) #s(hole binary64 (/ 1 y)))
#s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) #s(hole binary64 (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* (* 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 (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))))
#s(approx (* (+ x (* y (sqrt z))) 1/2) #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 x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* (/ 1 (sqrt z)) y) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) #s(hole binary64 (/ (+ 1 (* (/ y x) (sqrt z))) y)))
#s(approx (/ 1 y) #s(hole binary64 (/ 1 y)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* y (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z))))))
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* y (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z))))))
#s(approx (* (+ x (* y (sqrt z))) 1/2) #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 (* (+ (* (/ 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 x) (sqrt z)) (/ 1 y)) y) #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 (* (* 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 (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt (/ 1 z))) (* -1/2 (/ x (* y z))))))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))))
#s(approx (* (+ x (* y (sqrt z))) 1/2) #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 (* (+ (* (/ 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 x) (sqrt z)) (/ 1 y)) y) #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 (* (* 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) #s(hole binary64 (sqrt z)))
#s(approx z #s(hole binary64 z))
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ (+ x (* y (sqrt z))) z))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z)))
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (sqrt (/ 1 z))))
#s(approx (/ 1 z) #s(hole binary64 (/ 1 z)))
#s(approx (* (+ x (* y (sqrt z))) 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 (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (+ x (* y (sqrt z))) 1/2) #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 (* (+ (* (/ 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 x) (sqrt z)) (/ 1 y)) y) #s(hole binary64 (* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) #s(hole binary64 (* z (+ (* (/ 1 x) (sqrt (/ 1 z))) (/ 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 (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))))
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))))
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (+ (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z))))
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))
#s(approx (* (+ x (* y (sqrt z))) 1/2) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (+ x (* y (sqrt z))) 1/2) #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 x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))))
#s(approx (* (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) y) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (* (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) y) #s(hole binary64 (* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))))
#s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) #s(hole binary64 (* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z)))))
#s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) #s(hole binary64 (* -1 (* z (- (* (/ (pow (sqrt -1) 2) x) (sqrt (/ 1 z))) (/ 1 (* y z)))))))
Calls

9 calls:

TimeVariablePointExpression
5.0ms
z
@-inf
((* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z)) (* (/ 1 (sqrt z)) y) (/ 1 (sqrt z)) 1 (sqrt z) z y (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (sqrt (/ 1 z)) (/ 1 z) (/ x z) x (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 2 (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (* (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) y) (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (/ 1 x) (/ 1 y))
5.0ms
x
@inf
((* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z)) (* (/ 1 (sqrt z)) y) (/ 1 (sqrt z)) 1 (sqrt z) z y (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (sqrt (/ 1 z)) (/ 1 z) (/ x z) x (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 2 (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (* (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) y) (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (/ 1 x) (/ 1 y))
4.0ms
z
@0
((* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z)) (* (/ 1 (sqrt z)) y) (/ 1 (sqrt z)) 1 (sqrt z) z y (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (sqrt (/ 1 z)) (/ 1 z) (/ x z) x (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 2 (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (* (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) y) (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (/ 1 x) (/ 1 y))
3.0ms
y
@-inf
((* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z)) (* (/ 1 (sqrt z)) y) (/ 1 (sqrt z)) 1 (sqrt z) z y (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (sqrt (/ 1 z)) (/ 1 z) (/ x z) x (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 2 (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (* (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) y) (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (/ 1 x) (/ 1 y))
3.0ms
x
@-inf
((* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z)) (* (/ 1 (sqrt z)) y) (/ 1 (sqrt z)) 1 (sqrt z) z y (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (sqrt (/ 1 z)) (/ 1 z) (/ x z) x (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 2 (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (* (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) y) (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (/ 1 x) (/ 1 y))

rewrite144.0ms (7.4%)

Memory
-34.9MiB live, 116.5MiB allocated; 69ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03343234
03702989
012512917
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
173 → 243
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))) z))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))) z)
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)))
#s(literal 1/2 binary64)
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
#s(literal 1 binary64)
(sqrt.f64 z)
z
y
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) z))
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) z)
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
(/.f64 x z)
x
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
#s(approx (+ x (* y (sqrt z))) (*.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)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z) (/.f64 #s(literal 1 binary64) y)) y)) x)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z) (/.f64 #s(literal 1 binary64) y)) y)) x))
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z) (/.f64 #s(literal 1 binary64) y)) y)) x)
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z) (/.f64 #s(literal 1 binary64) y)) y))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z) (/.f64 #s(literal 1 binary64) y)) y)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) y)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* (* 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 (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z))))))
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z))))
#s(approx (/ x z) #s(hole binary64 (/ x z)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ x (* y (sqrt z))) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (+ x (* y (sqrt z))) 1/2) #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 (* (+ (* (/ 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 x) (sqrt z)) (/ 1 y)) y) #s(hole binary64 (* (/ y x) (sqrt z))))
#s(approx (* (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) y) #s(hole binary64 (/ (+ x (* y (sqrt z))) x)))
#s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) #s(hole binary64 (* (/ 1 x) (sqrt z))))
#s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) #s(hole binary64 (/ (+ (sqrt z) (/ x y)) x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 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 (* (* 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 (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ x z))))
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* x (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (/ x z)))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (* (+ x (* y (sqrt z))) 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ x (* y (sqrt z))) 1/2) #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 (* (+ (* (/ 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 x) (sqrt z)) (/ 1 y)) y) #s(hole binary64 1))
#s(approx (* (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) y) #s(hole binary64 (+ 1 (* (/ y x) (sqrt z)))))
#s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) #s(hole binary64 (/ 1 y)))
#s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) #s(hole binary64 (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* (* 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 (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))))
#s(approx (* (+ x (* y (sqrt z))) 1/2) #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 x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* (/ 1 (sqrt z)) y) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) #s(hole binary64 (/ (+ 1 (* (/ y x) (sqrt z))) y)))
#s(approx (/ 1 y) #s(hole binary64 (/ 1 y)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* y (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z))))))
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* y (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z))))))
#s(approx (* (+ x (* y (sqrt z))) 1/2) #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 (* (+ (* (/ 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 x) (sqrt z)) (/ 1 y)) y) #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 (* (* 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 (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt (/ 1 z))) (* -1/2 (/ x (* y z))))))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))))
#s(approx (* (+ x (* y (sqrt z))) 1/2) #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 (* (+ (* (/ 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 x) (sqrt z)) (/ 1 y)) y) #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 (* (* 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) #s(hole binary64 (sqrt z)))
#s(approx z #s(hole binary64 z))
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ (+ x (* y (sqrt z))) z))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z)))
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (sqrt (/ 1 z))))
#s(approx (/ 1 z) #s(hole binary64 (/ 1 z)))
#s(approx (* (+ x (* y (sqrt z))) 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 (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (+ x (* y (sqrt z))) 1/2) #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 (* (+ (* (/ 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 x) (sqrt z)) (/ 1 y)) y) #s(hole binary64 (* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) #s(hole binary64 (* z (+ (* (/ 1 x) (sqrt (/ 1 z))) (/ 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 (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))))
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))))
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
#s(approx (* 1/2 (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (+ (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z))))
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))
#s(approx (* (+ x (* y (sqrt z))) 1/2) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (+ x (* y (sqrt z))) 1/2) #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 x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))))
#s(approx (* (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) y) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (* (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) y) #s(hole binary64 (* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))))
#s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) #s(hole binary64 (* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z)))))
#s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) #s(hole binary64 (* -1 (* z (- (* (/ (pow (sqrt -1) 2) x) (sqrt (/ 1 z))) (/ 1 (* y z)))))))
Outputs
#s(approx (* (+ x (* y (sqrt z))) 1/2) (*.f64 (*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) #s(literal 1/2 binary64)) z))
(*.f64 (*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) #s(literal 1/2 binary64)) z)
(*.f64 z (*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) z))
(*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)))
#s(literal 1/2 binary64)
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)
(*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 z))
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
#s(literal 1 binary64)
(pow.f64 z #s(literal 1/2 binary64))
(sqrt.f64 z)
z
y
#s(approx (* (+ x (* y (sqrt z))) 1/2) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) #s(literal 1/2 binary64)) z))
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) #s(literal 1/2 binary64)) z)
(*.f64 z (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) z))
(fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)) z (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z))
(fma.f64 z (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)) (*.f64 z (*.f64 (/.f64 x z) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)) z) (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z))
(+.f64 (*.f64 z (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64))) (*.f64 z (*.f64 (/.f64 x z) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x z) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) (*.f64 (/.f64 x z) (/.f64 x z))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (/.f64 x z)))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (-.f64 (*.f64 (/.f64 x z) (/.f64 x z)) (*.f64 (*.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))
(fma.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x z))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (/.f64 x z))
(+.f64 (/.f64 x z) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))
(pow.f64 (/.f64 #s(literal 1 binary64) z) #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 (/.f64 #s(literal 1 binary64) z))
(pow.f64 z #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 z))
(/.f64 #s(literal 1 binary64) z)
(/.f64 (neg.f64 x) (neg.f64 z))
(/.f64 x z)
x
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#s(approx (/ 1 z) (/.f64 #s(literal 1 binary64) z))
#s(approx (* (+ x (* y (sqrt z))) 1/2) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (* (+ x (* y (sqrt z))) 1/2) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) #s(literal 1/2 binary64)) z))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) #s(literal 1/2 binary64)) z))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) #s(literal 1/2 binary64)) z))
#s(approx (* (+ x (* y (sqrt z))) 1/2) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) #s(literal 1/2 binary64)) 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 (* (+ (* (/ 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) (/.f64 #s(literal 1 binary64) z)) z))
#s(approx (* (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) y) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) z))
#s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (*.f64 z y))) z))
#s(approx (* (+ x (* y (sqrt z))) 1/2) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal -1/2 binary64)))
#s(approx (* (+ x (* y (sqrt z))) 1/2) (neg.f64 (*.f64 (fma.f64 (*.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) z)))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (neg.f64 (*.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) (neg.f64 (neg.f64 (sqrt.f64 z))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 x z))) z)))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (*.f64 (*.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 x z))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (fma.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 x z)))
#s(approx (sqrt (/ 1 z)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
#s(approx (* (+ x (* y (sqrt z))) 1/2) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal -1/2 binary64)))
#s(approx (* (+ x (* y (sqrt z))) 1/2) (neg.f64 (*.f64 (fma.f64 (*.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) 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 y (neg.f64 (/.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 y (neg.f64 (/.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 y (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) x) (/.f64 #s(literal 1 binary64) z)) z)))
#s(approx (* (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) y) (neg.f64 (/.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) x)))
#s(approx (* (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) y) (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) x) (/.f64 #s(literal 1 binary64) z)) z)))
#s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (neg.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x)))
#s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) x) (/.f64 #s(literal 1 binary64) (*.f64 z y))) z)))

eval23.0ms (1.2%)

Memory
-3.5MiB live, 42.4MiB allocated; 4ms collecting garbage
Compiler

Compiled 5 858 to 950 computations (83.8% saved)

prune6.0ms (0.3%)

Memory
16.6MiB live, 16.7MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1824186
Fresh000
Picked314
Done033
Total1858193
Accuracy
100.0%
Counts
193 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
32.8%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) y)) x)))
32.8%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (neg.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x))) y)) x)))
70.1%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) x) (/.f64 #s(literal 1 binary64) (*.f64 z y))) z))) y)) x)))
86.9%
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
46.9%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
40.6%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))) z))
55.2%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 221 to 157 computations (29% saved)

series52.0ms (2.7%)

Memory
4.1MiB live, 99.0MiB allocated; 8ms collecting garbage
Counts
45 → 125
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))) z))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))) z)
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 z))))
#s(literal 1/2 binary64)
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))
(/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 z))
(*.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(sqrt.f64 z)
z
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) x) (/.f64 #s(literal 1 binary64) (*.f64 z y))) z))) y)) x)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) x) (/.f64 #s(literal 1 binary64) (*.f64 z y))) z))) y)) x))
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) x) (/.f64 #s(literal 1 binary64) (*.f64 z y))) z))) y)) x)
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) x) (/.f64 #s(literal 1 binary64) (*.f64 z y))) z))) y))
(*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) x) (/.f64 #s(literal 1 binary64) (*.f64 z y))) z))) y)
#s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) x) (/.f64 #s(literal 1 binary64) (*.f64 z y))) z)))
(neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) x) (/.f64 #s(literal 1 binary64) (*.f64 z y))) z))
(*.f64 (-.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) x) (/.f64 #s(literal 1 binary64) (*.f64 z y))) z)
(-.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) x) (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) x)
(neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
x
(/.f64 #s(literal 1 binary64) (*.f64 z y))
(*.f64 z y)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (neg.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x))) y)) x)))
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (neg.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x))) y)) x))
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (neg.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x))) y)) x)
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (neg.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x))) y))
(*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (neg.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x))) y)
#s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (neg.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x)))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x))
(/.f64 (neg.f64 (sqrt.f64 z)) x)
(neg.f64 (sqrt.f64 z))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) y)) x)))
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) y)) x))
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) y)) x)
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) y))
(*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) y)
#s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))
(/.f64 #s(literal 1 binary64) 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 (* (* 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 (* y (sqrt z))) #s(hole binary64 (* y (sqrt z))))
#s(approx (+ x (* y (sqrt z))) #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 (* (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) y) #s(hole binary64 (* (/ y x) (sqrt z))))
#s(approx (* (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) y) #s(hole binary64 (/ (+ x (* y (sqrt z))) x)))
#s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) #s(hole binary64 (* (/ 1 x) (sqrt z))))
#s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) #s(hole binary64 (/ (+ (sqrt z) (/ x y)) x)))
#s(approx (neg (* (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) z)) #s(hole binary64 (* (/ 1 x) (sqrt z))))
#s(approx (neg (* (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) z)) #s(hole binary64 (/ (- (/ x y) (* -1 (sqrt z))) x)))
#s(approx (* (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) z) #s(hole binary64 (* -1 (* (/ 1 x) (sqrt z)))))
#s(approx (* (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) z) #s(hole binary64 (/ (+ (* -1 (sqrt z)) (* -1 (/ x y))) x)))
#s(approx (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) #s(hole binary64 (* -1 (* (/ 1 x) (sqrt (/ 1 z))))))
#s(approx (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) #s(hole binary64 (/ (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z)))) x)))
#s(approx (/ (neg (/ 1 (sqrt z))) x) #s(hole binary64 (* -1 (* (/ 1 x) (sqrt (/ 1 z))))))
#s(approx x #s(hole binary64 x))
#s(approx (neg (/ (neg (sqrt z)) x)) #s(hole binary64 (* (/ 1 x) (sqrt z))))
#s(approx (/ (neg (sqrt z)) x) #s(hole binary64 (* -1 (* (/ 1 x) (sqrt z)))))
#s(approx (* (/ 1 x) (sqrt z)) #s(hole binary64 (* (/ 1 x) (sqrt z))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 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 (* (* 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 (+ 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 (* (+ (* (/ 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 x) (sqrt z)) (/ 1 y)) y) #s(hole binary64 1))
#s(approx (* (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) y) #s(hole binary64 (+ 1 (* (/ y x) (sqrt z)))))
#s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) #s(hole binary64 (/ 1 y)))
#s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) #s(hole binary64 (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))
#s(approx (neg (* (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) z)) #s(hole binary64 (/ 1 y)))
#s(approx (neg (* (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) z)) #s(hole binary64 (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))
#s(approx (* (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) z) #s(hole binary64 (/ -1 y)))
#s(approx (* (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) z) #s(hole binary64 (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))
#s(approx (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) #s(hole binary64 (/ -1 (* y z))))
#s(approx (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) #s(hole binary64 (- (* -1 (* (/ 1 x) (sqrt (/ 1 z)))) (/ 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 (* (* 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 (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (/ (* 1 y) (sqrt z)) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (* 1 y) #s(hole binary64 y))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) #s(hole binary64 (/ (+ 1 (* (/ y x) (sqrt z))) y)))
#s(approx (neg (* (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) z)) #s(hole binary64 (/ (+ 1 (* (/ y x) (sqrt z))) y)))
#s(approx (* (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) z) #s(hole binary64 (/ (- (* -1 (* (/ y x) (sqrt z))) 1) y)))
#s(approx (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) #s(hole binary64 (/ (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z)) y)))
#s(approx (/ 1 (* z y)) #s(hole binary64 (/ 1 (* y z))))
#s(approx (* z y) #s(hole binary64 (* y z)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (* 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 (+ x (* y (sqrt z))) #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 x) (sqrt z)) (/ 1 y)) y) #s(hole binary64 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))))
#s(approx (neg (* (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) z)) #s(hole binary64 (- (/ 1 y) (* -1 (* (/ 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 (* (* 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 (+ x (* y (sqrt z))) #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 x) (sqrt z)) (/ 1 y)) y) #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 (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ (+ x (* y (sqrt z))) z))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z)))
#s(approx (sqrt z) #s(hole binary64 (sqrt z)))
#s(approx z #s(hole binary64 z))
#s(approx (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) #s(hole binary64 (/ (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)) z)))
#s(approx (neg (/ 1 (sqrt z))) #s(hole binary64 (* -1 (sqrt (/ 1 z)))))
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (sqrt (/ 1 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 (* (* 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 (+ x (* y (sqrt z))) #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 x) (sqrt z)) (/ 1 y)) y) #s(hole binary64 (* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) #s(hole binary64 (* z (+ (* (/ 1 x) (sqrt (/ 1 z))) (/ 1 (* y z))))))
#s(approx (neg (* (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) z)) #s(hole binary64 (* z (- (/ 1 (* y z)) (* -1 (* (/ 1 x) (sqrt (/ 1 z))))))))
#s(approx (* (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) z) #s(hole binary64 (* z (- (* -1 (* (/ 1 x) (sqrt (/ 1 z)))) (/ 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 (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))))
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
#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 x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))))
#s(approx (* (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) y) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (* (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) y) #s(hole binary64 (* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))))
#s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) #s(hole binary64 (* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z)))))
#s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) #s(hole binary64 (* -1 (* z (- (* (/ (pow (sqrt -1) 2) x) (sqrt (/ 1 z))) (/ 1 (* y z)))))))
#s(approx (neg (* (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) z)) #s(hole binary64 (* z (+ (* (/ 1 x) (sqrt (/ 1 z))) (/ 1 (* y z))))))
#s(approx (* (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) z) #s(hole binary64 (* -1 (* z (+ (* (/ 1 x) (sqrt (/ 1 z))) (/ 1 (* y z)))))))
#s(approx (neg (/ (neg (sqrt z)) x)) #s(hole binary64 (* -1 (* (/ (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 (* (/ 1 x) (sqrt z)) #s(hole binary64 (* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z)))))
Calls

9 calls:

TimeVariablePointExpression
12.0ms
z
@-inf
((* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (* 1 y) (sqrt z)) (* 1 y) 1 y (sqrt z) z (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 2 (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (* (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) y) (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (neg (* (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) z)) (* (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) z) (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) (/ (neg (/ 1 (sqrt z))) x) (neg (/ 1 (sqrt z))) (/ 1 (sqrt z)) x (/ 1 (* z y)) (* z y) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (* (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) y) (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (neg (/ (neg (sqrt z)) x)) (/ (neg (sqrt z)) x) (neg (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (* (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) y) (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (* (/ 1 x) (sqrt z)) (/ 1 x))
10.0ms
y
@0
((* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (* 1 y) (sqrt z)) (* 1 y) 1 y (sqrt z) z (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 2 (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (* (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) y) (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (neg (* (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) z)) (* (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) z) (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) (/ (neg (/ 1 (sqrt z))) x) (neg (/ 1 (sqrt z))) (/ 1 (sqrt z)) x (/ 1 (* z y)) (* z y) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (* (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) y) (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (neg (/ (neg (sqrt z)) x)) (/ (neg (sqrt z)) x) (neg (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (* (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) y) (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (* (/ 1 x) (sqrt z)) (/ 1 x))
5.0ms
z
@inf
((* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (* 1 y) (sqrt z)) (* 1 y) 1 y (sqrt z) z (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 2 (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (* (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) y) (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (neg (* (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) z)) (* (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) z) (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) (/ (neg (/ 1 (sqrt z))) x) (neg (/ 1 (sqrt z))) (/ 1 (sqrt z)) x (/ 1 (* z y)) (* z y) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (* (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) y) (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (neg (/ (neg (sqrt z)) x)) (/ (neg (sqrt z)) x) (neg (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (* (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) y) (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (* (/ 1 x) (sqrt z)) (/ 1 x))
4.0ms
z
@0
((* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (* 1 y) (sqrt z)) (* 1 y) 1 y (sqrt z) z (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 2 (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (* (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) y) (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (neg (* (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) z)) (* (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) z) (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) (/ (neg (/ 1 (sqrt z))) x) (neg (/ 1 (sqrt z))) (/ 1 (sqrt z)) x (/ 1 (* z y)) (* z y) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (* (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) y) (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (neg (/ (neg (sqrt z)) x)) (/ (neg (sqrt z)) x) (neg (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (* (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) y) (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (* (/ 1 x) (sqrt z)) (/ 1 x))
4.0ms
y
@-inf
((* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (* 1 y) (sqrt z)) (* 1 y) 1 y (sqrt z) z (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 2 (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (* (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) y) (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (neg (* (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) z)) (* (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) z) (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) (/ (neg (/ 1 (sqrt z))) x) (neg (/ 1 (sqrt z))) (/ 1 (sqrt z)) x (/ 1 (* z y)) (* z y) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (* (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) y) (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (neg (/ (neg (sqrt z)) x)) (/ (neg (sqrt z)) x) (neg (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (* (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) y) (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (* (/ 1 x) (sqrt z)) (/ 1 x))

rewrite81.0ms (4.2%)

Memory
-14.5MiB live, 78.3MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03463393
03923082
013682959
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
170 → 228
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))) z))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))) z)
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 z))))
#s(literal 1/2 binary64)
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))
(/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 z))
(*.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(sqrt.f64 z)
z
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) x) (/.f64 #s(literal 1 binary64) (*.f64 z y))) z))) y)) x)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) x) (/.f64 #s(literal 1 binary64) (*.f64 z y))) z))) y)) x))
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) x) (/.f64 #s(literal 1 binary64) (*.f64 z y))) z))) y)) x)
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) x) (/.f64 #s(literal 1 binary64) (*.f64 z y))) z))) y))
(*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) x) (/.f64 #s(literal 1 binary64) (*.f64 z y))) z))) y)
#s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) x) (/.f64 #s(literal 1 binary64) (*.f64 z y))) z)))
(neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) x) (/.f64 #s(literal 1 binary64) (*.f64 z y))) z))
(*.f64 (-.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) x) (/.f64 #s(literal 1 binary64) (*.f64 z y))) z)
(-.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) x) (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) x)
(neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
x
(/.f64 #s(literal 1 binary64) (*.f64 z y))
(*.f64 z y)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (neg.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x))) y)) x)))
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (neg.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x))) y)) x))
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (neg.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x))) y)) x)
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (neg.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x))) y))
(*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (neg.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x))) y)
#s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (neg.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x)))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x))
(/.f64 (neg.f64 (sqrt.f64 z)) x)
(neg.f64 (sqrt.f64 z))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) y)) x)))
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) y)) x))
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) y)) x)
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) y))
(*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) y)
#s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))
(/.f64 #s(literal 1 binary64) x)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z))))
#s(approx (+ 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 (* (+ (* (/ 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 (* (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) y) #s(hole binary64 (* (/ y x) (sqrt z))))
#s(approx (* (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) y) #s(hole binary64 (/ (+ x (* y (sqrt z))) x)))
#s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) #s(hole binary64 (* (/ 1 x) (sqrt z))))
#s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) #s(hole binary64 (/ (+ (sqrt z) (/ x y)) x)))
#s(approx (neg (* (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) z)) #s(hole binary64 (* (/ 1 x) (sqrt z))))
#s(approx (neg (* (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) z)) #s(hole binary64 (/ (- (/ x y) (* -1 (sqrt z))) x)))
#s(approx (* (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) z) #s(hole binary64 (* -1 (* (/ 1 x) (sqrt z)))))
#s(approx (* (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) z) #s(hole binary64 (/ (+ (* -1 (sqrt z)) (* -1 (/ x y))) x)))
#s(approx (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) #s(hole binary64 (* -1 (* (/ 1 x) (sqrt (/ 1 z))))))
#s(approx (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) #s(hole binary64 (/ (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z)))) x)))
#s(approx (/ (neg (/ 1 (sqrt z))) x) #s(hole binary64 (* -1 (* (/ 1 x) (sqrt (/ 1 z))))))
#s(approx x #s(hole binary64 x))
#s(approx (neg (/ (neg (sqrt z)) x)) #s(hole binary64 (* (/ 1 x) (sqrt z))))
#s(approx (/ (neg (sqrt z)) x) #s(hole binary64 (* -1 (* (/ 1 x) (sqrt z)))))
#s(approx (* (/ 1 x) (sqrt z)) #s(hole binary64 (* (/ 1 x) (sqrt z))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 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 (* (* 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 (+ 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 (* (+ (* (/ 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 x) (sqrt z)) (/ 1 y)) y) #s(hole binary64 1))
#s(approx (* (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) y) #s(hole binary64 (+ 1 (* (/ y x) (sqrt z)))))
#s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) #s(hole binary64 (/ 1 y)))
#s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) #s(hole binary64 (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))
#s(approx (neg (* (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) z)) #s(hole binary64 (/ 1 y)))
#s(approx (neg (* (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) z)) #s(hole binary64 (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))
#s(approx (* (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) z) #s(hole binary64 (/ -1 y)))
#s(approx (* (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) z) #s(hole binary64 (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))
#s(approx (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) #s(hole binary64 (/ -1 (* y z))))
#s(approx (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) #s(hole binary64 (- (* -1 (* (/ 1 x) (sqrt (/ 1 z)))) (/ 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 (* (* 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 (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (/ (* 1 y) (sqrt z)) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (* 1 y) #s(hole binary64 y))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) #s(hole binary64 (/ (+ 1 (* (/ y x) (sqrt z))) y)))
#s(approx (neg (* (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) z)) #s(hole binary64 (/ (+ 1 (* (/ y x) (sqrt z))) y)))
#s(approx (* (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) z) #s(hole binary64 (/ (- (* -1 (* (/ y x) (sqrt z))) 1) y)))
#s(approx (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) #s(hole binary64 (/ (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z)) y)))
#s(approx (/ 1 (* z y)) #s(hole binary64 (/ 1 (* y z))))
#s(approx (* z y) #s(hole binary64 (* y z)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (* 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 (+ x (* y (sqrt z))) #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 x) (sqrt z)) (/ 1 y)) y) #s(hole binary64 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))))
#s(approx (neg (* (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) z)) #s(hole binary64 (- (/ 1 y) (* -1 (* (/ 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 (* (* 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 (+ x (* y (sqrt z))) #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 x) (sqrt z)) (/ 1 y)) y) #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 (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ (+ x (* y (sqrt z))) z))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z)))
#s(approx (sqrt z) #s(hole binary64 (sqrt z)))
#s(approx z #s(hole binary64 z))
#s(approx (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) #s(hole binary64 (/ (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)) z)))
#s(approx (neg (/ 1 (sqrt z))) #s(hole binary64 (* -1 (sqrt (/ 1 z)))))
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (sqrt (/ 1 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 (* (* 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 (+ x (* y (sqrt z))) #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 x) (sqrt z)) (/ 1 y)) y) #s(hole binary64 (* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) #s(hole binary64 (* z (+ (* (/ 1 x) (sqrt (/ 1 z))) (/ 1 (* y z))))))
#s(approx (neg (* (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) z)) #s(hole binary64 (* z (- (/ 1 (* y z)) (* -1 (* (/ 1 x) (sqrt (/ 1 z))))))))
#s(approx (* (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) z) #s(hole binary64 (* z (- (* -1 (* (/ 1 x) (sqrt (/ 1 z)))) (/ 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 (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))))
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
#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 x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))))
#s(approx (* (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) y) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (* (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) y) #s(hole binary64 (* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))))
#s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) #s(hole binary64 (* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z)))))
#s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) #s(hole binary64 (* -1 (* z (- (* (/ (pow (sqrt -1) 2) x) (sqrt (/ 1 z))) (/ 1 (* y z)))))))
#s(approx (neg (* (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) z)) #s(hole binary64 (* z (+ (* (/ 1 x) (sqrt (/ 1 z))) (/ 1 (* y z))))))
#s(approx (* (- (/ (neg (/ 1 (sqrt z))) x) (/ 1 (* z y))) z) #s(hole binary64 (* -1 (* z (+ (* (/ 1 x) (sqrt (/ 1 z))) (/ 1 (* y z)))))))
#s(approx (neg (/ (neg (sqrt z)) x)) #s(hole binary64 (* -1 (* (/ (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 (* (/ 1 x) (sqrt z)) #s(hole binary64 (* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z)))))
Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) z))
(*.f64 (*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) z)
(*.f64 z (*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) z))
(*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))))
#s(literal 1/2 binary64)
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)
(*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 z)))
(/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z)))
(/.f64 y (sqrt.f64 z))
y
#s(literal 1 binary64)
y
(pow.f64 z #s(literal 1/2 binary64))
(sqrt.f64 z)
z
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (*.f64 (neg.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) (*.f64 z y)))) z)) y)) x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (*.f64 (neg.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) (*.f64 z y)))) z)) y)) x)))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (*.f64 (neg.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) (*.f64 z y)))) z)) y)) x))
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (*.f64 (neg.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) (*.f64 z y)))) z)) y)) x)
(*.f64 x #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (*.f64 (neg.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) (*.f64 z y)))) z)) y)))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (*.f64 (neg.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) (*.f64 z y)))) z)) y))
(*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (*.f64 (neg.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) (*.f64 z y)))) z)) y)
(*.f64 y #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (*.f64 (neg.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) (*.f64 z y)))) z)))
#s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (*.f64 (neg.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) (*.f64 z y)))) z))
(*.f64 (*.f64 #s(literal -1 binary64) z) (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) (*.f64 z y))))
(*.f64 (neg.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) (*.f64 z y)))) z)
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) (*.f64 z y))) z))
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) (*.f64 z y))) z) #s(literal -1 binary64))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) (*.f64 z y))) (neg.f64 z))
(neg.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) (*.f64 z y))) z))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) (*.f64 z y))) z)
(*.f64 z (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) (*.f64 z y))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) x) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 #s(literal 1 binary64) (*.f64 z y)))) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) (*.f64 z y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) x) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) x) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 #s(literal 1 binary64) (*.f64 z y)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) (*.f64 z y))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 z y)) (*.f64 x #s(literal 1 binary64))) (*.f64 x (*.f64 z y)))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) x)
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (sqrt.f64 z))
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z)))
(neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
x
(pow.f64 (*.f64 z y) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 z y)))
(/.f64 (/.f64 #s(literal 1 binary64) z) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/.f64 #s(literal 1 binary64) (*.f64 z y))
(*.f64 z y)
(*.f64 y z)
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (/.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 x))) y)) x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (/.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 x))) y)) x)))
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (/.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 x))) y)) x))
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eval30.0ms (1.6%)

Memory
14.5MiB live, 62.3MiB allocated; 6ms collecting garbage
Compiler

Compiled 8 398 to 1 376 computations (83.6% saved)

prune10.0ms (0.5%)

Memory
27.0MiB live, 27.0MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1944198
Fresh000
Picked404
Done044
Total1988206
Accuracy
100.0%
Counts
206 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
86.9%
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
32.8%
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (/.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 x))) y)) x)) #s(literal 1/2 binary64))
32.8%
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) y)) x)) #s(literal 1/2 binary64))
70.1%
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (*.f64 (neg.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) (*.f64 z y)))) z)) y)) x)) #s(literal 1/2 binary64))
46.9%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
40.6%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) z))
55.2%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 766 to 289 computations (62.3% saved)

regimes68.0ms (3.5%)

Memory
-26.9MiB live, 66.8MiB allocated; 4ms collecting garbage
Counts
19 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) z))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))) z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))) z))
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (/.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 x))) y)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) y)) x)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (neg.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x))) y)) x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) z))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) y)) x)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z) (/.f64 #s(literal 1 binary64) y)) y)) x)))
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (*.f64 (neg.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) (*.f64 z y)))) z)) y)) x)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 #s(approx (+ (* (/ 1 x) (sqrt z)) (/ 1 y)) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) x) (/.f64 #s(literal 1 binary64) (*.f64 z y))) z))) y)) x)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y)) (*.f64 x (*.f64 (sqrt.f64 z) y))))))
Outputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
Calls

7 calls:

35.0ms
(*.f64 y (sqrt.f64 z))
5.0ms
z
5.0ms
(sqrt.f64 z)
5.0ms
x
5.0ms
y
Results
AccuracySegmentsBranch
99.9%1(sqrt.f64 z)
99.9%1(*.f64 y (sqrt.f64 z))
99.9%1(+.f64 x (*.f64 y (sqrt.f64 z)))
99.9%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
99.9%1x
99.9%1y
99.9%1z
Compiler

Compiled 25 to 34 computations (-36% saved)

regimes9.0ms (0.5%)

Memory
19.3MiB live, 19.3MiB 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
x
1.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
1.0ms
z
1.0ms
(sqrt.f64 z)
1.0ms
y
Results
AccuracySegmentsBranch
68.8%4(sqrt.f64 z)
78.5%3(*.f64 y (sqrt.f64 z))
62.4%3(+.f64 x (*.f64 y (sqrt.f64 z)))
62.4%3(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
78.1%3x
77.7%3y
68.8%4z
Compiler

Compiled 25 to 34 computations (-36% saved)

regimes11.0ms (0.5%)

Memory
-28.3MiB live, 18.8MiB allocated; 1ms 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:

4.0ms
(sqrt.f64 z)
1.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
1.0ms
(+.f64 x (*.f64 y (sqrt.f64 z)))
1.0ms
(*.f64 y (sqrt.f64 z))
1.0ms
z
Results
AccuracySegmentsBranch
55.2%1(+.f64 x (*.f64 y (sqrt.f64 z)))
55.2%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
55.2%1(sqrt.f64 z)
55.2%1z
55.2%1y
55.2%1x
55.2%1(*.f64 y (sqrt.f64 z))
Compiler

Compiled 25 to 34 computations (-36% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
30331586725351.93
247920549573806940.0
0.0ms
-1.26280265760594e+114
-1.9840879973234087e+112
Compiler

Compiled 13 to 16 computations (-23.1% saved)

derivations7.0ms (0.4%)

Memory
13.7MiB live, 13.7MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 83 to 26 computations (68.7% saved)

preprocess23.0ms (1.2%)

Memory
4.8MiB live, 53.7MiB allocated; 5ms collecting garbage
Compiler

Compiled 186 to 72 computations (61.3% saved)

end0.0ms (0%)

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

Profiling

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