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

Time bar (total: 3.1s)

start0.0ms (0%)

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

analyze55.0ms (1.8%)

Memory
-6.3MiB live, 86.6MiB allocated; 11ms 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)

sample998.0ms (32.4%)

Memory
51.3MiB live, 1 709.7MiB allocated; 136ms collecting garbage
Samples
496.0ms8 256×0valid
123.0ms2 078×0invalid
Precisions
Click to see histograms. Total time spent on operations: 352.0ms
ival-mult: 136.0ms (38.6% of total)
ival-div: 78.0ms (22.2% of total)
ival-sqrt: 71.0ms (20.2% of total)
ival-add: 50.0ms (14.2% of total)
exact: 12.0ms (3.4% of total)
adjust: 3.0ms (0.9% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

explain93.0ms (3%)

Memory
-37.9MiB live, 201.8MiB allocated; 7ms 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
35.0ms512×0valid
Compiler

Compiled 74 to 34 computations (54.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 6.0ms (34% of total)
ival-sqrt: 4.0ms (22.7% of total)
ival-div: 3.0ms (17% of total)
ival-add: 3.0ms (17% of total)
exact: 1.0ms (5.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess182.0ms (5.9%)

Memory
20.8MiB live, 214.0MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 10 to 10 computations (0% saved)

eval0.0ms (0%)

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

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
Compiler

Compiled 10 to 10 computations (0% saved)

series9.0ms (0.3%)

Memory
20.4MiB live, 20.4MiB 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
z
@inf
((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z)

rewrite62.0ms (2%)

Memory
-3.0MiB live, 94.6MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval7.0ms (0.2%)

Memory
-32.2MiB live, 15.2MiB allocated; 1ms collecting garbage
Compiler

Compiled 870 to 181 computations (79.2% saved)

prune20.0ms (0.7%)

Memory
-7.8MiB live, 39.5MiB allocated; 1ms collecting garbage
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New54256
Fresh000
Picked011
Done000
Total54357
Accuracy
99.9%
Counts
57 → 3
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))))
88.3%
(*.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)))
83.6%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) z)))
Compiler

Compiled 52 to 41 computations (21.2% saved)

series26.0ms (0.9%)

Memory
6.7MiB live, 53.4MiB allocated; 1ms collecting garbage
Counts
18 → 65
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) z)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) z))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) z)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
(sqrt.f64 z)
z
y
(/.f64 x z)
x
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)))
#s(approx (+ 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 (* (/ 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 (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) #s(hole binary64 (* y (sqrt z))))
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) #s(hole binary64 (+ x (* y (sqrt 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 #s(hole binary64 x))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* y (sqrt z))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* (/ y x) (sqrt z))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (/ (+ x (* y (sqrt z))) x)))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ 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 (sqrt z)) y) (/ x z)) z) #s(hole binary64 x))
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt 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 (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (+ 1 (* (/ y x) (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))))
#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 (* (/ 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 (sqrt z)) y) (/ x z)) z) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (+ (* (/ 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) (+ 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 (sqrt z)) y) (/ x z)) 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 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 (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) #s(hole binary64 (* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x z)))))))
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
#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
7.0ms
z
@-inf
((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ 1 (sqrt z)) (sqrt z) z y (/ x z) x (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x))
3.0ms
x
@inf
((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ 1 (sqrt z)) (sqrt z) z y (/ x z) x (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x))
3.0ms
x
@-inf
((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ 1 (sqrt z)) (sqrt z) z y (/ x z) x (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x))
2.0ms
y
@-inf
((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ 1 (sqrt z)) (sqrt z) z y (/ x z) x (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x))
2.0ms
z
@0
((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ 1 (sqrt z)) (sqrt z) z y (/ x z) x (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x))

rewrite52.0ms (1.7%)

Memory
32.1MiB live, 80.2MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01991310
02181217
08611180
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
83 → 115
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) z)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) z))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) z)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
(sqrt.f64 z)
z
y
(/.f64 x z)
x
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)))
#s(approx (+ 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 (* (/ 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 (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) #s(hole binary64 (* y (sqrt z))))
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) #s(hole binary64 (+ x (* y (sqrt 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 #s(hole binary64 x))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* y (sqrt z))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* (/ y x) (sqrt z))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (/ (+ x (* y (sqrt z))) x)))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ 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 (sqrt z)) y) (/ x z)) z) #s(hole binary64 x))
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt 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 (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (+ 1 (* (/ y x) (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))))
#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 (* (/ 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 (sqrt z)) y) (/ x z)) z) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (+ (* (/ 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) (+ 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 (sqrt z)) y) (/ x z)) 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 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 (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) #s(hole binary64 (* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x z)))))))
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
#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 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)) z)))
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)) z)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)) z))
(*.f64 (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)) z)
(*.f64 z (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)))
(fma.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) z (*.f64 (/.f64 x z) z))
(fma.f64 z (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) (*.f64 z (/.f64 x z)))
(+.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) z) (*.f64 (/.f64 x z) z))
(+.f64 (*.f64 z (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y)) (*.f64 z (/.f64 x z)))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y)) (*.f64 (/.f64 x z) (/.f64 x z))) (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) (/.f64 x z)))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) (-.f64 (*.f64 (/.f64 x z) (/.f64 x z)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) (/.f64 x z)))))
(fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z))
(fma.f64 y (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 x z))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) (/.f64 x z))
(+.f64 (/.f64 x z) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y))
(pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
(sqrt.f64 (pow.f64 z #s(literal -1 binary64)))
(pow.f64 z #s(literal 1/2 binary64))
(sqrt.f64 z)
z
y
(/.f64 (neg.f64 x) (neg.f64 z))
(/.f64 x z)
x
(*.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)))
(*.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)
(*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (sqrt.f64 z) y) x)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) x))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) x))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (/.f64 (*.f64 (sqrt.f64 z) y) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) (/.f64 (*.f64 (sqrt.f64 z) y) x))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1 binary64)) (-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) (/.f64 (*.f64 (sqrt.f64 z) y) x)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) (/.f64 (*.f64 (sqrt.f64 z) y) x) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 y x)) (sqrt.f64 z)))
(+.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 y x)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)))
#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 (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) (*.f64 (sqrt.f64 z) y))
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) (fma.f64 (sqrt.f64 z) y x))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)))
#s(approx (/ x z) (/.f64 x z))
#s(approx x 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 (sqrt z)) y) (/ x z)) z) x)
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 x z))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (fma.f64 (/.f64 y x) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) x))
#s(approx (* (+ (* (/ 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 (sqrt z)) y) (/ x z)) z) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1 binary64)) x)))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) x)) (pow.f64 z #s(literal -1 binary64))) x)))
#s(approx (* (+ (* (/ y 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 (* (/ 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 (sqrt z)) y) (/ x z)) z) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (+.f64 (/.f64 (/.f64 x y) z) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) y))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) y))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)))
#s(approx (+ x (* y (sqrt z))) (neg.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) y)))
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) (neg.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) y)))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (neg.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) z) #s(literal -1 binary64) (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) y)))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (neg.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) y)))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z))) (pow.f64 y #s(literal -1 binary64))) y)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))
#s(approx (/ 1 (sqrt z)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))
#s(approx (sqrt z) (sqrt.f64 z))
#s(approx z z)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z))) z))
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)) z))
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) (*.f64 (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)) z))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (*.f64 (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)) z))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (fma.f64 (/.f64 y x) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal -1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (neg.f64 (*.f64 (fma.f64 (*.f64 y (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) z)))
#s(approx (+ 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 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) (neg.f64 (/.f64 x z))) z)))
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) z) (neg.f64 (*.f64 (fma.f64 y (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) (neg.f64 (/.f64 x z))) z)))
#s(approx (sqrt z) (neg.f64 (neg.f64 (sqrt.f64 z))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (neg.f64 (*.f64 y (neg.f64 (sqrt.f64 z)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (neg.f64 (*.f64 (fma.f64 y (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) (neg.f64 (/.f64 x z))) z)))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (neg.f64 (/.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) x)))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 y (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) x) (pow.f64 z #s(literal -1 binary64))) z)))

eval15.0ms (0.5%)

Memory
-13.3MiB live, 33.9MiB allocated; 1ms collecting garbage
Compiler

Compiled 3 385 to 508 computations (85% saved)

prune169.0ms (5.5%)

Memory
6.8MiB live, 291.3MiB allocated; 7ms collecting garbage
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1303133
Fresh000
Picked112
Done011
Total1315136
Accuracy
100.0%
Counts
136 → 5
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))))
83.7%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z)) z)))
83.6%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) z)))
71.9%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (/.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))) x)))
88.9%
(*.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 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) y)) x)))
Compiler

Compiled 125 to 86 computations (31.2% saved)

series56.0ms (1.8%)

Memory
2.5MiB live, 98.3MiB allocated; 9ms collecting garbage
Counts
33 → 142
Calls
Call 1
Inputs
(*.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 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) y)) x)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#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 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) y)) x))
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) y)) x)
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) y))
(*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) y)
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(sqrt.f64 z)
z
(pow.f64 y #s(literal -1 binary64))
y
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (/.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))) x)))
#s(approx (+ x (* y (sqrt z))) (*.f64 (/.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))) x))
(*.f64 (/.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))) 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 (/.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) (/.f64 (*.f64 (sqrt.f64 z) y) x))
(/.f64 (*.f64 (sqrt.f64 z) y) x)
(*.f64 (sqrt.f64 z) y)
(-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z)) z)))
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z)) z))
(*.f64 (fma.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z)) z)
(fma.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z))
(pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 z #s(literal -1 binary64))
#s(literal 1/2 binary64)
(/.f64 x 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 (* (+ (* (/ 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 (* (+ (* (pow x -1) (sqrt z)) (pow y -1)) y) #s(hole binary64 (* (/ y x) (sqrt z))))
#s(approx (* (+ (* (pow x -1) (sqrt z)) (pow y -1)) y) #s(hole binary64 (/ (+ x (* y (sqrt z))) x)))
#s(approx (+ (* (pow x -1) (sqrt z)) (pow y -1)) #s(hole binary64 (* (/ 1 x) (sqrt z))))
#s(approx (+ (* (pow x -1) (sqrt z)) (pow y -1)) #s(hole binary64 (/ (+ (sqrt z) (/ x y)) x)))
#s(approx (pow x -1) #s(hole binary64 (/ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) x) #s(hole binary64 (* y (sqrt z))))
#s(approx (* (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) x) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 (* (/ y x) (sqrt z))))
#s(approx (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 (/ (+ x (* y (sqrt z))) x)))
#s(approx (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) #s(hole binary64 (/ (* (pow y 2) z) (pow x 2))))
#s(approx (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) #s(hole binary64 (/ (+ (* -1 (pow x 2)) (* (pow y 2) z)) (pow x 2))))
#s(approx (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) #s(hole binary64 (/ (* (pow y 2) z) (pow x 2))))
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (* (/ y x) (sqrt z))))
#s(approx (- (/ (* (sqrt z) y) x) 1) #s(hole binary64 (* (/ y x) (sqrt z))))
#s(approx (- (/ (* (sqrt z) y) x) 1) #s(hole binary64 (/ (+ (* -1 x) (* y (sqrt z))) x)))
#s(approx (* (+ (* (pow (pow z -1) 1/2) y) (/ x z)) z) #s(hole binary64 (* y (sqrt z))))
#s(approx (* (+ (* (pow (pow z -1) 1/2) y) (/ x z)) z) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx (+ (* (pow (pow z -1) 1/2) y) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (+ (* (pow (pow z -1) 1/2) y) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z))))
#s(approx (/ x z) #s(hole binary64 (/ x z)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #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 (* (+ (* (/ 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 (* (+ (* (pow x -1) (sqrt z)) (pow y -1)) y) #s(hole binary64 1))
#s(approx (* (+ (* (pow x -1) (sqrt z)) (pow y -1)) y) #s(hole binary64 (+ 1 (* (/ y x) (sqrt z)))))
#s(approx (+ (* (pow x -1) (sqrt z)) (pow y -1)) #s(hole binary64 (/ 1 y)))
#s(approx (+ (* (pow x -1) (sqrt z)) (pow y -1)) #s(hole binary64 (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))
#s(approx (* (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) x) #s(hole binary64 x))
#s(approx (* (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 1))
#s(approx (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 (+ 1 (* (/ y x) (sqrt z)))))
#s(approx (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) #s(hole binary64 -1))
#s(approx (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) #s(hole binary64 (- (/ (* (pow y 2) z) (pow x 2)) 1)))
#s(approx (- (/ (* (sqrt z) y) x) 1) #s(hole binary64 -1))
#s(approx (- (/ (* (sqrt z) y) x) 1) #s(hole binary64 (- (* (/ y x) (sqrt z)) 1)))
#s(approx (* (+ (* (pow (pow z -1) 1/2) y) (/ x z)) z) #s(hole binary64 x))
#s(approx (* (+ (* (pow (pow z -1) 1/2) y) (/ x z)) z) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (+ (* (pow (pow z -1) 1/2) y) (/ x z)) #s(hole binary64 (/ x z)))
#s(approx (+ (* (pow (pow z -1) 1/2) y) (/ x z)) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 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 x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* (+ (* (pow (pow z -1) 1/2) y) (/ x z)) z) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (+ (* (pow (pow z -1) 1/2) y) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))))
#s(approx (+ (* (pow x -1) (sqrt z)) (pow y -1)) #s(hole binary64 (/ (+ 1 (* (/ y x) (sqrt z))) y)))
#s(approx (pow y -1) #s(hole binary64 (/ 1 y)))
#s(approx y #s(hole binary64 y))
#s(approx (* (sqrt z) y) #s(hole binary64 (* y (sqrt z))))
#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 (* (+ (* (/ 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 (* (+ (* (pow x -1) (sqrt z)) (pow y -1)) y) #s(hole binary64 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))))
#s(approx (* (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))))
#s(approx (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) #s(hole binary64 (* (pow y 2) (- (/ z (pow x 2)) (/ 1 (pow y 2))))))
#s(approx (- (/ (* (sqrt z) y) x) 1) #s(hole binary64 (* y (- (* (/ 1 x) (sqrt z)) (/ 1 y)))))
#s(approx (* (+ (* (pow (pow z -1) 1/2) y) (/ x z)) z) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (+ (* (pow (pow z -1) 1/2) y) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z))))))
#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 (* (+ (* (/ 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 (* (+ (* (pow x -1) (sqrt z)) (pow y -1)) y) #s(hole binary64 (* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))))
#s(approx (* (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 (* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))))
#s(approx (- (/ (* (sqrt z) y) x) 1) #s(hole binary64 (* -1 (* y (+ (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))))
#s(approx (* (+ (* (pow (pow z -1) 1/2) y) (/ x z)) z) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (+ (* (pow (pow z -1) 1/2) y) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (sqrt z) #s(hole binary64 (sqrt z)))
#s(approx z #s(hole binary64 z))
#s(approx (* (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) x) #s(hole binary64 (* -1 (/ x (- (* (/ y x) (sqrt z)) 1)))))
#s(approx (* (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) x) #s(hole binary64 (+ (* -1 (/ x (- (* (/ y x) (sqrt z)) 1))) (/ (* (pow y 2) z) (* x (- (* (/ y x) (sqrt z)) 1))))))
#s(approx (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 (/ -1 (- (* (/ y x) (sqrt z)) 1))))
#s(approx (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 (- (/ (* (pow y 2) z) (* (pow x 2) (- (* (/ y x) (sqrt z)) 1))) (/ 1 (- (* (/ y x) (sqrt z)) 1)))))
#s(approx (+ (* (pow (pow z -1) 1/2) y) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z)))
#s(approx (pow (pow z -1) 1/2) #s(hole binary64 (sqrt (/ 1 z))))
#s(approx (pow z -1) #s(hole binary64 (/ 1 z)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ 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 (* (+ (* (pow x -1) (sqrt z)) (pow y -1)) y) #s(hole binary64 (* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (+ (* (pow x -1) (sqrt z)) (pow y -1)) #s(hole binary64 (* z (+ (* (/ 1 x) (sqrt (/ 1 z))) (/ 1 (* y z))))))
#s(approx (* (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) x) #s(hole binary64 (- (+ (* -1 (* (/ (pow x 2) y) (sqrt (/ 1 z)))) (* y (sqrt z))) (* -1 x))))
#s(approx (* (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) x) #s(hole binary64 (- (+ (* -1 (* (/ (pow x 2) y) (sqrt (/ 1 z)))) (+ (* y (sqrt z)) (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3)))))) (* -1 x))))
#s(approx (* (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) x) #s(hole binary64 (- (+ (* -1 (* (/ (pow x 2) y) (sqrt (/ 1 z)))) (+ (* y (sqrt z)) (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) (* (pow y 2) (pow z 2))))) (+ (* -1 x) (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3)))))))))
#s(approx (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 (+ 1 (+ (* -1 (* (/ x y) (sqrt (/ 1 z)))) (* (/ y x) (sqrt z))))))
#s(approx (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 (+ 1 (+ (* -1 (* (/ x y) (sqrt (/ 1 z)))) (+ (* (/ y x) (sqrt z)) (* (/ (* x (+ z (* -1 (* (/ x y) (sqrt z))))) y) (sqrt (/ 1 (pow z 3)))))))))
#s(approx (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 (- (+ 1 (+ (* -1 (* (/ x y) (sqrt (/ 1 z)))) (+ (* (/ y x) (sqrt z)) (/ (* (pow x 2) (+ z (* -1 (* (/ x y) (sqrt z))))) (* (pow y 2) (pow z 2)))))) (* -1 (* (/ (* x (+ z (* -1 (* (/ x y) (sqrt z))))) y) (sqrt (/ 1 (pow z 3))))))))
#s(approx (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) #s(hole binary64 (* z (- (/ (pow y 2) (pow x 2)) (/ 1 z)))))
#s(approx (- (/ (* (sqrt z) y) x) 1) #s(hole binary64 (* z (- (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (* (+ (* (pow (pow z -1) 1/2) y) (/ x z)) 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 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 (* (+ (* (pow x -1) (sqrt z)) (pow y -1)) y) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (* (+ (* (pow x -1) (sqrt z)) (pow y -1)) y) #s(hole binary64 (* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))))
#s(approx (+ (* (pow x -1) (sqrt z)) (pow y -1)) #s(hole binary64 (* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z)))))
#s(approx (+ (* (pow x -1) (sqrt z)) (pow y -1)) #s(hole binary64 (* -1 (* z (- (* (/ (pow (sqrt -1) 2) x) (sqrt (/ 1 z))) (/ 1 (* y z)))))))
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (* (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) x) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt z))))
#s(approx (* (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) x) #s(hole binary64 (+ (* -1 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* x z)) z)) (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) x) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* x z))) y) (sqrt (/ 1 z)))) (* -1 (* (/ (pow x 2) y) (sqrt z)))) (* x z)) z)) (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) x) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (- (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* x z))) (* (pow y 2) (pow (sqrt -1) 2))) (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* x z))) y) (sqrt z)))) z))) (* x z)) z)) (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))
#s(approx (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 z) (* -1 (* (/ x y) (sqrt z)))) z)) (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 z) (+ (* -1 (* (/ x y) (sqrt z))) (* -1 (* (/ (* x (+ (* -1 z) (* -1 (* (/ x y) (sqrt z))))) y) (sqrt (/ 1 z)))))) z)) (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 z) (+ (* -1 (* (/ x y) (sqrt z))) (* -1 (/ (- (/ (* (pow x 2) (+ (* -1 z) (* -1 (* (/ x y) (sqrt z))))) (* (pow y 2) (pow (sqrt -1) 2))) (* -1 (* (/ (* x (+ (* -1 z) (* -1 (* (/ x y) (sqrt z))))) y) (sqrt z)))) z)))) z)) (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) #s(hole binary64 (* -1 (/ (* (pow y 2) (* z (pow (sqrt -1) 2))) (pow x 2)))))
#s(approx (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) #s(hole binary64 (* -1 (* z (+ (/ 1 z) (/ (* (pow y 2) (pow (sqrt -1) 2)) (pow x 2)))))))
#s(approx (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) #s(hole binary64 (* -1 (/ (* (pow y 2) (* z (pow (sqrt -1) 2))) (pow x 2)))))
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (* (sqrt z) y) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (- (/ (* (sqrt z) y) x) 1) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (- (/ (* (sqrt z) y) x) 1) #s(hole binary64 (* -1 (* z (+ (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))))
#s(approx (* (+ (* (pow (pow z -1) 1/2) y) (/ x z)) z) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt z))))
#s(approx (* (+ (* (pow (pow z -1) 1/2) y) (/ x z)) z) #s(hole binary64 (* -1 (* z (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1 (/ x z)))))))
#s(approx (+ (* (pow (pow z -1) 1/2) y) (/ x z)) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))
#s(approx (+ (* (pow (pow z -1) 1/2) y) (/ x z)) #s(hole binary64 (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z))))
#s(approx (pow (pow z -1) 1/2) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))
Calls

9 calls:

TimeVariablePointExpression
13.0ms
z
@-inf
((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (* (+ (* (pow x -1) (sqrt z)) (pow y -1)) y) (+ (* (pow x -1) (sqrt z)) (pow y -1)) (pow x -1) x -1 (sqrt z) z (pow y -1) y (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) x) (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) (/ (* (sqrt z) y) x) (* (sqrt z) y) (- (/ (* (sqrt z) y) x) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (+ (* (pow (pow z -1) 1/2) y) (/ x z)) z) (+ (* (pow (pow z -1) 1/2) y) (/ x z)) (pow (pow z -1) 1/2) (pow z -1) 1/2 (/ x z))
9.0ms
x
@-inf
((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (* (+ (* (pow x -1) (sqrt z)) (pow y -1)) y) (+ (* (pow x -1) (sqrt z)) (pow y -1)) (pow x -1) x -1 (sqrt z) z (pow y -1) y (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) x) (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) (/ (* (sqrt z) y) x) (* (sqrt z) y) (- (/ (* (sqrt z) y) x) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (+ (* (pow (pow z -1) 1/2) y) (/ x z)) z) (+ (* (pow (pow z -1) 1/2) y) (/ x z)) (pow (pow z -1) 1/2) (pow z -1) 1/2 (/ x z))
6.0ms
z
@inf
((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (* (+ (* (pow x -1) (sqrt z)) (pow y -1)) y) (+ (* (pow x -1) (sqrt z)) (pow y -1)) (pow x -1) x -1 (sqrt z) z (pow y -1) y (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) x) (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) (/ (* (sqrt z) y) x) (* (sqrt z) y) (- (/ (* (sqrt z) y) x) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (+ (* (pow (pow z -1) 1/2) y) (/ x z)) z) (+ (* (pow (pow z -1) 1/2) y) (/ x z)) (pow (pow z -1) 1/2) (pow z -1) 1/2 (/ x z))
5.0ms
z
@0
((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (* (+ (* (pow x -1) (sqrt z)) (pow y -1)) y) (+ (* (pow x -1) (sqrt z)) (pow y -1)) (pow x -1) x -1 (sqrt z) z (pow y -1) y (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) x) (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) (/ (* (sqrt z) y) x) (* (sqrt z) y) (- (/ (* (sqrt z) y) x) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (+ (* (pow (pow z -1) 1/2) y) (/ x z)) z) (+ (* (pow (pow z -1) 1/2) y) (/ x z)) (pow (pow z -1) 1/2) (pow z -1) 1/2 (/ x z))
5.0ms
y
@-inf
((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (* (+ (* (pow x -1) (sqrt z)) (pow y -1)) y) (+ (* (pow x -1) (sqrt z)) (pow y -1)) (pow x -1) x -1 (sqrt z) z (pow y -1) y (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) x) (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) (/ (* (sqrt z) y) x) (* (sqrt z) y) (- (/ (* (sqrt z) y) x) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (+ (* (pow (pow z -1) 1/2) y) (/ x z)) z) (+ (* (pow (pow z -1) 1/2) y) (/ x z)) (pow (pow z -1) 1/2) (pow z -1) 1/2 (/ x z))

rewrite89.0ms (2.9%)

Memory
7.6MiB live, 101.0MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04654210
05043221
023733080
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
175 → 250
Calls
Call 1
Inputs
(*.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 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) y)) x)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#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 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) y)) x))
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) y)) x)
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) y))
(*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) y)
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(sqrt.f64 z)
z
(pow.f64 y #s(literal -1 binary64))
y
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (/.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))) x)))
#s(approx (+ x (* y (sqrt z))) (*.f64 (/.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))) x))
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#s(approx (* (sqrt z) y) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (- (/ (* (sqrt z) y) x) 1) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (- (/ (* (sqrt z) y) x) 1) #s(hole binary64 (* -1 (* z (+ (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))))
#s(approx (* (+ (* (pow (pow z -1) 1/2) y) (/ x z)) z) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt z))))
#s(approx (* (+ (* (pow (pow z -1) 1/2) y) (/ x z)) z) #s(hole binary64 (* -1 (* z (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1 (/ x z)))))))
#s(approx (+ (* (pow (pow z -1) 1/2) y) (/ x z)) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))
#s(approx (+ (* (pow (pow z -1) 1/2) y) (/ x z)) #s(hole binary64 (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z))))
#s(approx (pow (pow z -1) 1/2) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))
Outputs
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) y)) x)))
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) y)) x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) y)) x))
(*.f64 #s(approx (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) y)) x)
(*.f64 x #s(approx (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) y)))
#s(approx (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) y))
(*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) y)
(*.f64 y (fma.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))))
(fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z)) y (*.f64 (pow.f64 y #s(literal -1 binary64)) y))
(fma.f64 y (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z)) (*.f64 y (pow.f64 y #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z)) y) (*.f64 (pow.f64 y #s(literal -1 binary64)) y))
(+.f64 (*.f64 y (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z))) (*.f64 y (pow.f64 y #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z))) (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))) (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z)) (pow.f64 y #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z)) (-.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z)) (pow.f64 y #s(literal -1 binary64))))))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z)))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 z) (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(+.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z)))
(+.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
x
#s(literal -1 binary64)
(pow.f64 z #s(literal 1/2 binary64))
(sqrt.f64 z)
z
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(pow.f64 y #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 y))
(/.f64 #s(literal 1 binary64) y)
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))
y
(*.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)))
(*.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)
(*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (sqrt.f64 z) y) x)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) x))
(+.f64 (*.f64 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 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)))
(/.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 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) (*.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)) (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #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 (/.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64))) (pow.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64)) #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 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) (-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (fabs.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x)) (fabs.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x)))
(*.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x)) (neg.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) (/.f64 (*.f64 (sqrt.f64 z) y) x))
(pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (/.f64 (*.f64 (sqrt.f64 z) y) x)) x)
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 (sqrt.f64 z) y)) x)
(/.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y)) (*.f64 x x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 z) y)) (neg.f64 x))
(/.f64 (*.f64 (sqrt.f64 z) y) x)
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64))
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z)) z)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z)) z)))
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z)) z))
(*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z)) z)
(*.f64 z (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z)))
(fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z (*.f64 (/.f64 x z) z))
(fma.f64 z (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 z (/.f64 x z)))
(+.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) (*.f64 (/.f64 x z) z))
(+.f64 (*.f64 z (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) (*.f64 z (/.f64 x z)))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) (*.f64 (/.f64 x z) (/.f64 x z))) (-.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (/.f64 x z)))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (-.f64 (*.f64 (/.f64 x z) (/.f64 x z)) (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (/.f64 x z)))))
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(+.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (/.f64 x z))
(+.f64 (/.f64 x z) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y))
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 z #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
(sqrt.f64 (pow.f64 z #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)))
(pow.f64 z #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 z))
(/.f64 #s(literal 1 binary64) z)
(exp.f64 (*.f64 (log.f64 z) #s(literal -1 binary64)))
#s(literal 1/2 binary64)
(/.f64 (neg.f64 x) (neg.f64 z))
(/.f64 x z)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)))
#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 (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) (/.f64 (*.f64 (sqrt.f64 z) y) x))
#s(approx (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) (/.f64 (fma.f64 (sqrt.f64 z) y x) x))
#s(approx (* (+ (* (pow x -1) (sqrt z)) (pow y -1)) y) (/.f64 (*.f64 (sqrt.f64 z) y) x))
#s(approx (* (+ (* (pow x -1) (sqrt z)) (pow y -1)) y) (/.f64 (fma.f64 (sqrt.f64 z) y x) x))
#s(approx (+ (* (pow x -1) (sqrt z)) (pow y -1)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z)))
#s(approx (+ (* (pow x -1) (sqrt z)) (pow y -1)) (/.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) x))
#s(approx (pow x -1) (pow.f64 x #s(literal -1 binary64)))
#s(approx x 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 (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) (/.f64 (*.f64 (sqrt.f64 z) y) x))
#s(approx (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) (/.f64 (fma.f64 (sqrt.f64 z) y x) x))
#s(approx (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (*.f64 (*.f64 y y) (/.f64 z (*.f64 x x))))
#s(approx (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (/.f64 (fma.f64 (*.f64 y y) z (neg.f64 (*.f64 x x))) (*.f64 x x)))
#s(approx (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) (*.f64 (*.f64 y y) (/.f64 z (*.f64 x x))))
#s(approx (/ (* (sqrt z) y) x) (/.f64 (*.f64 (sqrt.f64 z) y) x))
#s(approx (- (/ (* (sqrt z) y) x) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x))
#s(approx (- (/ (* (sqrt z) y) x) 1) (/.f64 (fma.f64 (sqrt.f64 z) y (neg.f64 x)) x))
#s(approx (* (+ (* (pow (pow z -1) 1/2) y) (/ x z)) z) (*.f64 (sqrt.f64 z) y))
#s(approx (* (+ (* (pow (pow z -1) 1/2) y) (/ x z)) z) (fma.f64 (sqrt.f64 z) y x))
#s(approx (+ (* (pow (pow z -1) 1/2) y) (/ x z)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y))
#s(approx (+ (* (pow (pow z -1) 1/2) y) (/ x z)) (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z)))
#s(approx (/ x z) (/.f64 x z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x) #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 (* (+ (* (/ 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 (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) #s(literal 1 binary64))
#s(approx (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)))
#s(approx (* (+ (* (pow x -1) (sqrt z)) (pow y -1)) y) #s(literal 1 binary64))
#s(approx (* (+ (* (pow x -1) (sqrt z)) (pow y -1)) y) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)))
#s(approx (+ (* (pow x -1) (sqrt z)) (pow y -1)) (pow.f64 y #s(literal -1 binary64)))
#s(approx (+ (* (pow x -1) (sqrt z)) (pow y -1)) (fma.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))))
#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 (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) #s(literal 1 binary64))
#s(approx (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)))
#s(approx (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) #s(literal -1 binary64))
#s(approx (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (-.f64 (*.f64 (*.f64 y y) (/.f64 z (*.f64 x x))) #s(literal 1 binary64)))
#s(approx (- (/ (* (sqrt z) y) x) 1) #s(literal -1 binary64))
#s(approx (- (/ (* (sqrt z) y) x) 1) (-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64)))
#s(approx (* (+ (* (pow (pow z -1) 1/2) y) (/ x z)) z) x)
#s(approx (* (+ (* (pow (pow z -1) 1/2) y) (/ x z)) z) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))
#s(approx (+ (* (pow (pow z -1) 1/2) y) (/ x z)) (/.f64 x z))
#s(approx (+ (* (pow (pow z -1) 1/2) y) (/ x z)) (*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 y x) (pow.f64 z #s(literal -1 binary64))) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64))))
#s(approx (+ x (* y (sqrt z))) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1 binary64))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1 binary64))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1 binary64))))
#s(approx (* (+ (* (pow (pow z -1) 1/2) y) (/ x z)) z) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1 binary64))))
#s(approx (+ (* (pow (pow z -1) 1/2) y) (/ x z)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) x)) (pow.f64 z #s(literal -1 binary64)))))
#s(approx (+ (* (pow x -1) (sqrt z)) (pow y -1)) (/.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) y))
#s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64)))
#s(approx y y)
#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 (* (+ (* (/ y x) (sqrt z)) 1) x) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y))
#s(approx (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) y))
#s(approx (* (+ (* (pow x -1) (sqrt z)) (pow y -1)) y) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) y))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y))
#s(approx (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) y))
#s(approx (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (*.f64 (-.f64 (/.f64 z (*.f64 x x)) (pow.f64 y #s(literal -2 binary64))) (*.f64 y y)))
#s(approx (- (/ (* (sqrt z) y) x) 1) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z)) (pow.f64 y #s(literal -1 binary64))) y))
#s(approx (* (+ (* (pow (pow z -1) 1/2) y) (/ x z)) z) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y))
#s(approx (+ (* (pow (pow z -1) 1/2) y) (/ x z)) (*.f64 (+.f64 (/.f64 (/.f64 x y) z) (pow.f64 z #s(literal -1/2 binary64))) y))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)))
#s(approx (+ x (* y (sqrt z))) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 z) (/.f64 (neg.f64 x) y)) y)))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 z) (/.f64 (neg.f64 x) y)) y)))
#s(approx (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) (neg.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z))) (pow.f64 y #s(literal -1 binary64))) y)))
#s(approx (* (+ (* (pow x -1) (sqrt z)) (pow y -1)) y) (neg.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z))) (pow.f64 y #s(literal -1 binary64))) y)))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 z) (/.f64 (neg.f64 x) y)) y)))
#s(approx (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) (neg.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z))) (pow.f64 y #s(literal -1 binary64))) y)))
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#s(approx (* (+ (* (pow (pow z -1) 1/2) y) (/ x z)) z) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 z) (/.f64 (neg.f64 x) y)) y)))
#s(approx (+ (* (pow (pow z -1) 1/2) y) (/ x z)) (neg.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) z) #s(literal -1 binary64) (neg.f64 (pow.f64 z #s(literal -1/2 binary64)))) y)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)))
#s(approx (sqrt z) (sqrt.f64 z))
#s(approx z z)
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (/.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (fma.f64 (/.f64 (*.f64 y y) x) (/.f64 z (-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64))) (/.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64)))))
#s(approx (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64))))
#s(approx (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) (-.f64 (/.f64 (*.f64 (*.f64 y y) (/.f64 z (*.f64 x x))) (-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64))) (pow.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64)) #s(literal -1 binary64))))
#s(approx (+ (* (pow (pow z -1) 1/2) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))
#s(approx (pow (pow z -1) 1/2) (pow.f64 z #s(literal -1/2 binary64)))
#s(approx (pow z -1) (pow.f64 z #s(literal -1 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z))) z))
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z)) z))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z)) z))
#s(approx (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) (*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 y x) (pow.f64 z #s(literal -1 binary64))) z))
#s(approx (* (+ (* (pow x -1) (sqrt z)) (pow y -1)) y) (*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 y x) (pow.f64 z #s(literal -1 binary64))) z))
#s(approx (+ (* (pow x -1) (sqrt z)) (pow y -1)) (*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64)) (pow.f64 (*.f64 z y) #s(literal -1 binary64))) z))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (-.f64 (fma.f64 (sqrt.f64 z) y (neg.f64 (*.f64 (/.f64 (*.f64 x x) y) (pow.f64 z #s(literal -1/2 binary64))))) (neg.f64 x)))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (-.f64 (+.f64 (fma.f64 (sqrt.f64 z) y (neg.f64 (*.f64 (/.f64 (*.f64 x x) y) (pow.f64 z #s(literal -1/2 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (/.f64 (*.f64 x x) y) (sqrt.f64 z)) (*.f64 z x))) x) (sqrt.f64 (pow.f64 z #s(literal -3 binary64)))) y)) (neg.f64 x)))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (-.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) y)) (pow.f64 z #s(literal -1/2 binary64)) (fma.f64 (sqrt.f64 z) y (/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (/.f64 (*.f64 x x) y) (sqrt.f64 z)) (*.f64 z x))) (*.f64 x x)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (neg.f64 x)) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (/.f64 (*.f64 x x) y) (sqrt.f64 z)) (*.f64 z x))) x) (sqrt.f64 (pow.f64 z #s(literal -3 binary64)))) y))))
#s(approx (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) (+.f64 (fma.f64 (/.f64 (neg.f64 x) y) (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1 binary64)))
#s(approx (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) (+.f64 (fma.f64 (/.f64 (neg.f64 x) y) (pow.f64 z #s(literal -1/2 binary64)) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 x) y) (sqrt.f64 z) z) x) y) (sqrt.f64 (pow.f64 z #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 z) y) x))) #s(literal 1 binary64)))
#s(approx (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) (-.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 x) y) (pow.f64 z #s(literal -1/2 binary64)) (fma.f64 (/.f64 y x) (sqrt.f64 z) (/.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 x) y) (sqrt.f64 z) z) (*.f64 x x)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) #s(literal 1 binary64)) (neg.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 x) y) (sqrt.f64 z) z) x) y) (sqrt.f64 (pow.f64 z #s(literal -3 binary64)))))))
#s(approx (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (*.f64 (-.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (pow.f64 z #s(literal -1 binary64))) z))
#s(approx (- (/ (* (sqrt z) y) x) 1) (*.f64 (-.f64 (/.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) x) (pow.f64 z #s(literal -1 binary64))) z))
#s(approx (* (+ (* (pow (pow z -1) 1/2) y) (/ x z)) z) (*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) 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)))) (*.f64 (neg.f64 z) (fma.f64 (*.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x z)))))
#s(approx (+ x (* y (sqrt z))) (neg.f64 (*.f64 y (neg.f64 (sqrt.f64 z)))))
#s(approx (+ x (* y (sqrt z))) (*.f64 (neg.f64 z) (fma.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (/.f64 (neg.f64 x) 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) (*.f64 (neg.f64 z) (fma.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (/.f64 (neg.f64 x) z))))
#s(approx (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) (neg.f64 (/.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) x)))
#s(approx (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) (*.f64 (neg.f64 z) (-.f64 (/.f64 (*.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64)))) x) (pow.f64 z #s(literal -1 binary64)))))
#s(approx (* (+ (* (pow x -1) (sqrt z)) (pow y -1)) y) (neg.f64 (/.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) x)))
#s(approx (* (+ (* (pow x -1) (sqrt z)) (pow y -1)) y) (*.f64 (neg.f64 z) (-.f64 (/.f64 (*.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64)))) x) (pow.f64 z #s(literal -1 binary64)))))
#s(approx (+ (* (pow x -1) (sqrt z)) (pow y -1)) (neg.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x)))
#s(approx (+ (* (pow x -1) (sqrt z)) (pow y -1)) (*.f64 (neg.f64 z) (-.f64 (/.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) x) (pow.f64 (*.f64 z y) #s(literal -1 binary64)))))
#s(approx (sqrt z) (neg.f64 (neg.f64 (sqrt.f64 z))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (*.f64 y (neg.f64 (sqrt.f64 z))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (fma.f64 y (neg.f64 (sqrt.f64 z)) (neg.f64 (/.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x x) y) (sqrt.f64 z))) (*.f64 z x)) z))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (fma.f64 y (neg.f64 (sqrt.f64 z)) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (/.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x x) y) (sqrt.f64 z))) (*.f64 z x)) y)) (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (/.f64 (*.f64 x x) y) (sqrt.f64 z))) (*.f64 (neg.f64 x) z)) z))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (fma.f64 y (neg.f64 (sqrt.f64 z)) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 x x) y) (sqrt.f64 z) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x x) y) (sqrt.f64 z))) (*.f64 z x)) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (/.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x x) y) (sqrt.f64 z))) (*.f64 z x)) y)) (sqrt.f64 z)))) z)) (*.f64 (neg.f64 x) z)) z))))
#s(approx (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) (/.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) x))
#s(approx (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 x) y) (sqrt.f64 z) (neg.f64 z)) z) #s(literal -1 binary64) (/.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) x)))
#s(approx (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) (sqrt.f64 z) (*.f64 (*.f64 x (/.f64 (fma.f64 (/.f64 (neg.f64 x) y) (sqrt.f64 z) (neg.f64 z)) y)) (pow.f64 z #s(literal -1/2 binary64)))) (neg.f64 z)) z) #s(literal -1 binary64) (/.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) x)))
#s(approx (/ (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (- (/ (* (sqrt z) y) x) 1)) (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) (sqrt.f64 z) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (fma.f64 (/.f64 (neg.f64 x) y) (sqrt.f64 z) (neg.f64 z)) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (/.f64 (fma.f64 (/.f64 (neg.f64 x) y) (sqrt.f64 z) (neg.f64 z)) y)) (sqrt.f64 z)))) z)) (neg.f64 z)) z) #s(literal -1 binary64) (/.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) x)))
#s(approx (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (neg.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 y y)) (*.f64 x x))))
#s(approx (- (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) 1) (*.f64 (neg.f64 z) (fma.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (pow.f64 z #s(literal -1 binary64)))))
#s(approx (* (/ (* (sqrt z) y) x) (/ (* (sqrt z) y) x)) (neg.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 y y)) (*.f64 x x))))
#s(approx (/ (* (sqrt z) y) x) (neg.f64 (/.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) x)))
#s(approx (* (sqrt z) y) (neg.f64 (*.f64 y (neg.f64 (sqrt.f64 z)))))
#s(approx (- (/ (* (sqrt z) y) x) 1) (neg.f64 (/.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) x)))
#s(approx (- (/ (* (sqrt z) y) x) 1) (*.f64 (neg.f64 z) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) y) x) (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1 binary64)))))
#s(approx (* (+ (* (pow (pow z -1) 1/2) y) (/ x z)) z) (*.f64 y (neg.f64 (sqrt.f64 z))))
#s(approx (* (+ (* (pow (pow z -1) 1/2) y) (/ x z)) z) (*.f64 (neg.f64 z) (*.f64 #s(literal -1 binary64) (fma.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (/.f64 x z)))))
#s(approx (+ (* (pow (pow z -1) 1/2) y) (/ x z)) (*.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64)))))
#s(approx (+ (* (pow (pow z -1) 1/2) y) (/ x z)) (fma.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (/.f64 x z)))
#s(approx (pow (pow z -1) 1/2) (neg.f64 (pow.f64 z #s(literal -1/2 binary64))))

eval41.0ms (1.3%)

Memory
-15.0MiB live, 80.0MiB allocated; 6ms collecting garbage
Compiler

Compiled 11 196 to 1 478 computations (86.8% saved)

prune788.0ms (25.5%)

Memory
-7.9MiB live, 1 486.4MiB allocated; 135ms collecting garbage
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New3071308
Fresh000
Picked033
Done022
Total3076313
Accuracy
100.0%
Counts
313 → 6
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))))
69.8%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64)))))
83.7%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z)) z)))
83.6%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) z)))
71.9%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (/.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))) x)))
88.9%
(*.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 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) y)) x)))
Compiler

Compiled 157 to 105 computations (33.1% saved)

series21.0ms (0.7%)

Memory
6.6MiB live, 54.2MiB allocated; 1ms collecting garbage
Counts
16 → 75
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(approx (+ x (* y (sqrt z))) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x)
(-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64))
(/.f64 (*.f64 (sqrt.f64 z) y) x)
(*.f64 (sqrt.f64 z) y)
(sqrt.f64 z)
z
y
x
(-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64))
Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ 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 (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 (* y (sqrt z))))
#s(approx (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) #s(hole binary64 (/ (* (pow y 2) z) x)))
#s(approx (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) #s(hole binary64 (/ (+ (* -1 (pow x 2)) (* (pow y 2) z)) x)))
#s(approx (- (pow (/ (* (sqrt z) y) x) 2) 1) #s(hole binary64 (/ (* (pow y 2) z) (pow x 2))))
#s(approx (- (pow (/ (* (sqrt z) y) x) 2) 1) #s(hole binary64 (/ (+ (* -1 (pow x 2)) (* (pow y 2) z)) (pow x 2))))
#s(approx (pow (/ (* (sqrt z) y) x) 2) #s(hole binary64 (/ (* (pow y 2) z) (pow x 2))))
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (* (/ y x) (sqrt z))))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ (* (sqrt z) y) x) 1) #s(hole binary64 (* (/ y x) (sqrt z))))
#s(approx (- (/ (* (sqrt z) y) x) 1) #s(hole binary64 (/ (+ (* -1 x) (* y (sqrt z))) 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 (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 x))
#s(approx (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) #s(hole binary64 (* x (- (/ (* (pow y 2) z) (pow x 2)) 1))))
#s(approx (- (pow (/ (* (sqrt z) y) x) 2) 1) #s(hole binary64 -1))
#s(approx (- (pow (/ (* (sqrt z) y) x) 2) 1) #s(hole binary64 (- (/ (* (pow y 2) z) (pow x 2)) 1)))
#s(approx (- (/ (* (sqrt z) y) x) 1) #s(hole binary64 -1))
#s(approx (- (/ (* (sqrt z) y) x) 1) #s(hole binary64 (- (* (/ 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 (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (* (pow y 2) z) (pow x 2))))))))
#s(approx (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) #s(hole binary64 (+ (* -1 x) (/ (* (pow y 2) z) x))))
#s(approx (* (sqrt z) y) #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 (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ x (pow y 2))) (/ z x)))))
#s(approx (- (pow (/ (* (sqrt z) y) x) 2) 1) #s(hole binary64 (* (pow y 2) (- (/ z (pow x 2)) (/ 1 (pow y 2))))))
#s(approx (- (/ (* (sqrt z) y) x) 1) #s(hole binary64 (* y (- (* (/ 1 x) (sqrt z)) (/ 1 y)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (- (/ (* (sqrt z) y) x) 1) #s(hole binary64 (* -1 (* y (+ (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 (* -1 (/ x (- (* (/ y x) (sqrt z)) 1)))))
#s(approx (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 (+ (* -1 (/ x (- (* (/ y x) (sqrt z)) 1))) (/ (* (pow y 2) z) (* x (- (* (/ y x) (sqrt z)) 1))))))
#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 (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 (- (+ (* -1 (* (/ (pow x 2) y) (sqrt (/ 1 z)))) (* y (sqrt z))) (* -1 x))))
#s(approx (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 (- (+ (* -1 (* (/ (pow x 2) y) (sqrt (/ 1 z)))) (+ (* y (sqrt z)) (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3)))))) (* -1 x))))
#s(approx (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 (- (+ (* -1 (* (/ (pow x 2) y) (sqrt (/ 1 z)))) (+ (* y (sqrt z)) (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) (* (pow y 2) (pow z 2))))) (+ (* -1 x) (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3)))))))))
#s(approx (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) #s(hole binary64 (* z (+ (* -1 (/ x z)) (/ (pow y 2) x)))))
#s(approx (- (pow (/ (* (sqrt z) y) x) 2) 1) #s(hole binary64 (* z (- (/ (pow y 2) (pow x 2)) (/ 1 z)))))
#s(approx (- (/ (* (sqrt z) y) x) 1) #s(hole binary64 (* z (- (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (+ 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 (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt z))))
#s(approx (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 (+ (* -1 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* x z)) z)) (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* x z))) y) (sqrt (/ 1 z)))) (* -1 (* (/ (pow x 2) y) (sqrt z)))) (* x z)) z)) (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (- (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* x z))) (* (pow y 2) (pow (sqrt -1) 2))) (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* x z))) y) (sqrt z)))) z))) (* x z)) z)) (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) #s(hole binary64 (* -1 (/ (* (pow y 2) (* z (pow (sqrt -1) 2))) x))))
#s(approx (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) #s(hole binary64 (* -1 (* z (+ (/ x z) (/ (* (pow y 2) (pow (sqrt -1) 2)) x))))))
#s(approx (- (pow (/ (* (sqrt z) y) x) 2) 1) #s(hole binary64 (* -1 (/ (* (pow y 2) (* z (pow (sqrt -1) 2))) (pow x 2)))))
#s(approx (- (pow (/ (* (sqrt z) y) x) 2) 1) #s(hole binary64 (* -1 (* z (+ (/ 1 z) (/ (* (pow y 2) (pow (sqrt -1) 2)) (pow x 2)))))))
#s(approx (pow (/ (* (sqrt z) y) x) 2) #s(hole binary64 (* -1 (/ (* (pow y 2) (* z (pow (sqrt -1) 2))) (pow x 2)))))
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (* (sqrt z) y) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (- (/ (* (sqrt z) y) x) 1) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (- (/ (* (sqrt z) y) x) 1) #s(hole binary64 (* -1 (* z (+ (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))))
Calls

9 calls:

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

rewrite63.0ms (2.1%)

Memory
-5.2MiB live, 89.4MiB allocated; 1ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02972060
03171913
015641863
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
91 → 108
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(approx (+ x (* y (sqrt z))) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x)
(-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64))
(/.f64 (*.f64 (sqrt.f64 z) y) x)
(*.f64 (sqrt.f64 z) y)
(sqrt.f64 z)
z
y
x
(-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ 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 (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 (* y (sqrt z))))
#s(approx (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) #s(hole binary64 (/ (* (pow y 2) z) x)))
#s(approx (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) #s(hole binary64 (/ (+ (* -1 (pow x 2)) (* (pow y 2) z)) x)))
#s(approx (- (pow (/ (* (sqrt z) y) x) 2) 1) #s(hole binary64 (/ (* (pow y 2) z) (pow x 2))))
#s(approx (- (pow (/ (* (sqrt z) y) x) 2) 1) #s(hole binary64 (/ (+ (* -1 (pow x 2)) (* (pow y 2) z)) (pow x 2))))
#s(approx (pow (/ (* (sqrt z) y) x) 2) #s(hole binary64 (/ (* (pow y 2) z) (pow x 2))))
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (* (/ y x) (sqrt z))))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ (* (sqrt z) y) x) 1) #s(hole binary64 (* (/ y x) (sqrt z))))
#s(approx (- (/ (* (sqrt z) y) x) 1) #s(hole binary64 (/ (+ (* -1 x) (* y (sqrt z))) 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 (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 x))
#s(approx (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) #s(hole binary64 (* x (- (/ (* (pow y 2) z) (pow x 2)) 1))))
#s(approx (- (pow (/ (* (sqrt z) y) x) 2) 1) #s(hole binary64 -1))
#s(approx (- (pow (/ (* (sqrt z) y) x) 2) 1) #s(hole binary64 (- (/ (* (pow y 2) z) (pow x 2)) 1)))
#s(approx (- (/ (* (sqrt z) y) x) 1) #s(hole binary64 -1))
#s(approx (- (/ (* (sqrt z) y) x) 1) #s(hole binary64 (- (* (/ 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 (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (* (pow y 2) z) (pow x 2))))))))
#s(approx (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) #s(hole binary64 (+ (* -1 x) (/ (* (pow y 2) z) x))))
#s(approx (* (sqrt z) y) #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 (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ x (pow y 2))) (/ z x)))))
#s(approx (- (pow (/ (* (sqrt z) y) x) 2) 1) #s(hole binary64 (* (pow y 2) (- (/ z (pow x 2)) (/ 1 (pow y 2))))))
#s(approx (- (/ (* (sqrt z) y) x) 1) #s(hole binary64 (* y (- (* (/ 1 x) (sqrt z)) (/ 1 y)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (- (/ (* (sqrt z) y) x) 1) #s(hole binary64 (* -1 (* y (+ (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 (* -1 (/ x (- (* (/ y x) (sqrt z)) 1)))))
#s(approx (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 (+ (* -1 (/ x (- (* (/ y x) (sqrt z)) 1))) (/ (* (pow y 2) z) (* x (- (* (/ y x) (sqrt z)) 1))))))
#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 (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 (- (+ (* -1 (* (/ (pow x 2) y) (sqrt (/ 1 z)))) (* y (sqrt z))) (* -1 x))))
#s(approx (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 (- (+ (* -1 (* (/ (pow x 2) y) (sqrt (/ 1 z)))) (+ (* y (sqrt z)) (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3)))))) (* -1 x))))
#s(approx (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 (- (+ (* -1 (* (/ (pow x 2) y) (sqrt (/ 1 z)))) (+ (* y (sqrt z)) (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) (* (pow y 2) (pow z 2))))) (+ (* -1 x) (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3)))))))))
#s(approx (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) #s(hole binary64 (* z (+ (* -1 (/ x z)) (/ (pow y 2) x)))))
#s(approx (- (pow (/ (* (sqrt z) y) x) 2) 1) #s(hole binary64 (* z (- (/ (pow y 2) (pow x 2)) (/ 1 z)))))
#s(approx (- (/ (* (sqrt z) y) x) 1) #s(hole binary64 (* z (- (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (+ 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 (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt z))))
#s(approx (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 (+ (* -1 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* x z)) z)) (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* x z))) y) (sqrt (/ 1 z)))) (* -1 (* (/ (pow x 2) y) (sqrt z)))) (* x z)) z)) (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (- (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* x z))) (* (pow y 2) (pow (sqrt -1) 2))) (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* x z))) y) (sqrt z)))) z))) (* x z)) z)) (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) #s(hole binary64 (* -1 (/ (* (pow y 2) (* z (pow (sqrt -1) 2))) x))))
#s(approx (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) #s(hole binary64 (* -1 (* z (+ (/ x z) (/ (* (pow y 2) (pow (sqrt -1) 2)) x))))))
#s(approx (- (pow (/ (* (sqrt z) y) x) 2) 1) #s(hole binary64 (* -1 (/ (* (pow y 2) (* z (pow (sqrt -1) 2))) (pow x 2)))))
#s(approx (- (pow (/ (* (sqrt z) y) x) 2) 1) #s(hole binary64 (* -1 (* z (+ (/ 1 z) (/ (* (pow y 2) (pow (sqrt -1) 2)) (pow x 2)))))))
#s(approx (pow (/ (* (sqrt z) y) x) 2) #s(hole binary64 (* -1 (/ (* (pow y 2) (* z (pow (sqrt -1) 2))) (pow x 2)))))
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (* (sqrt z) y) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (- (/ (* (sqrt z) y) x) 1) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (- (/ (* (sqrt z) y) x) 1) #s(hole binary64 (* -1 (* z (+ (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))))
Outputs
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64))))))
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64))))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(approx (+ x (* y (sqrt z))) (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64)))))
(*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x)
(*.f64 x (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(expm1.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 2 binary64)))
(-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64)) (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) (/.f64 (*.f64 (sqrt.f64 z) y) x))
(pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 2 binary64)))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 z) y)) (neg.f64 x))
(/.f64 (*.f64 (sqrt.f64 z) y) x)
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(pow.f64 z #s(literal 1/2 binary64))
(sqrt.f64 z)
z
y
x
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)))
#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 (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) (*.f64 (sqrt.f64 z) y))
#s(approx (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) (fma.f64 (sqrt.f64 z) y x))
#s(approx (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (/.f64 (*.f64 (*.f64 y y) z) x))
#s(approx (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (/.f64 (fma.f64 (*.f64 y y) z (neg.f64 (*.f64 x x))) x))
#s(approx (- (pow (/ (* (sqrt z) y) x) 2) 1) (*.f64 (*.f64 y y) (/.f64 z (*.f64 x x))))
#s(approx (- (pow (/ (* (sqrt z) y) x) 2) 1) (/.f64 (fma.f64 (*.f64 y y) z (neg.f64 (*.f64 x x))) (*.f64 x x)))
#s(approx (pow (/ (* (sqrt z) y) x) 2) (*.f64 (*.f64 y y) (/.f64 z (*.f64 x x))))
#s(approx (/ (* (sqrt z) y) x) (/.f64 (*.f64 (sqrt.f64 z) y) x))
#s(approx x x)
#s(approx (- (/ (* (sqrt z) y) x) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x))
#s(approx (- (/ (* (sqrt z) y) x) 1) (/.f64 (fma.f64 (sqrt.f64 z) y (neg.f64 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 (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) x)
#s(approx (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))
#s(approx (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (neg.f64 x))
#s(approx (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (*.f64 (-.f64 (*.f64 (*.f64 y y) (/.f64 z (*.f64 x x))) #s(literal 1 binary64)) x))
#s(approx (- (pow (/ (* (sqrt z) y) x) 2) 1) #s(literal -1 binary64))
#s(approx (- (pow (/ (* (sqrt z) y) x) 2) 1) (-.f64 (*.f64 (*.f64 y y) (/.f64 z (*.f64 x x))) #s(literal 1 binary64)))
#s(approx (- (/ (* (sqrt z) y) x) 1) #s(literal -1 binary64))
#s(approx (- (/ (* (sqrt z) y) x) 1) (-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64))))
#s(approx (+ x (* y (sqrt z))) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1 binary64))))
#s(approx (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1 binary64))))
#s(approx (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (*.f64 y y) (/.f64 z (*.f64 x x))) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (fma.f64 (*.f64 y y) (/.f64 z x) (neg.f64 x)))
#s(approx (* (sqrt z) y) (*.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 (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y))
#s(approx (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64) (/.f64 z x)) (*.f64 y y)))
#s(approx (- (pow (/ (* (sqrt z) y) x) 2) 1) (*.f64 (-.f64 (/.f64 z (*.f64 x x)) (pow.f64 y #s(literal -2 binary64))) (*.f64 y y)))
#s(approx (- (/ (* (sqrt z) y) x) 1) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z)) (pow.f64 y #s(literal -1 binary64))) y))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)))
#s(approx (+ x (* y (sqrt z))) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 z) (/.f64 (neg.f64 x) y)) y)))
#s(approx (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 z) (/.f64 (neg.f64 x) y)) y)))
#s(approx (- (/ (* (sqrt z) y) x) 1) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) y)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)))
#s(approx (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) (/.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64))))
#s(approx (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) (fma.f64 (/.f64 (*.f64 y y) x) (/.f64 z (-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64))) (/.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 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 (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) (-.f64 (fma.f64 (sqrt.f64 z) y (neg.f64 (*.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))) (neg.f64 x)))
#s(approx (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) (-.f64 (+.f64 (fma.f64 (sqrt.f64 z) y (neg.f64 (*.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (/.f64 (*.f64 x x) y) (sqrt.f64 z)) (*.f64 z x))) x) (sqrt.f64 (pow.f64 z #s(literal -3 binary64)))) y)) (neg.f64 x)))
#s(approx (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) (-.f64 (-.f64 (+.f64 (fma.f64 (sqrt.f64 z) y (neg.f64 (*.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))) (/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (/.f64 (*.f64 x x) y) (sqrt.f64 z)) (*.f64 z x))) (*.f64 x x)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (neg.f64 x)) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (/.f64 (*.f64 x x) y) (sqrt.f64 z)) (*.f64 z x))) x) (sqrt.f64 (pow.f64 z #s(literal -3 binary64)))) y))))
#s(approx (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (*.f64 (fma.f64 (/.f64 x z) #s(literal -1 binary64) (/.f64 (*.f64 y y) x)) z))
#s(approx (- (pow (/ (* (sqrt z) y) x) 2) 1) (*.f64 (-.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (pow.f64 z #s(literal -1 binary64))) z))
#s(approx (- (/ (* (sqrt z) y) x) 1) (*.f64 (-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x) (pow.f64 z #s(literal -1 binary64))) z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal -1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (neg.f64 (*.f64 (fma.f64 (*.f64 #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)) (/.f64 (neg.f64 x) z)) z)))
#s(approx (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) (*.f64 y (neg.f64 (sqrt.f64 z))))
#s(approx (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) (fma.f64 y (neg.f64 (sqrt.f64 z)) (neg.f64 (/.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x x) y) (sqrt.f64 z))) (*.f64 z x)) z))))
#s(approx (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) (fma.f64 y (neg.f64 (sqrt.f64 z)) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (/.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x x) y) (sqrt.f64 z))) (*.f64 z x)) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 (*.f64 x x) y) (sqrt.f64 z))) (*.f64 (neg.f64 x) z)) z))))
#s(approx (/ (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (- (/ (* (sqrt z) y) x) 1)) (fma.f64 y (neg.f64 (sqrt.f64 z)) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 x x) y) (sqrt.f64 z) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x x) y) (sqrt.f64 z))) (*.f64 z x)) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (/.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x x) y) (sqrt.f64 z))) (*.f64 z x)) y)) (sqrt.f64 z)))) z)) (*.f64 (neg.f64 x) z)) z))))
#s(approx (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1 binary64)) x)))
#s(approx (* (- (pow (/ (* (sqrt z) y) x) 2) 1) x) (neg.f64 (*.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) x) (/.f64 x z)) z)))
#s(approx (- (pow (/ (* (sqrt z) y) x) 2) 1) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1 binary64)) (*.f64 x x))))
#s(approx (- (pow (/ (* (sqrt z) y) x) 2) 1) (neg.f64 (*.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (pow.f64 z #s(literal -1 binary64))) z)))
#s(approx (pow (/ (* (sqrt z) y) x) 2) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1 binary64)) (*.f64 x x))))
#s(approx (/ (* (sqrt z) y) x) (neg.f64 (/.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) x)))
#s(approx (* (sqrt z) y) (neg.f64 (*.f64 y (neg.f64 (sqrt.f64 z)))))
#s(approx (sqrt z) (neg.f64 (neg.f64 (sqrt.f64 z))))
#s(approx (- (/ (* (sqrt z) y) x) 1) (neg.f64 (/.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) x)))
#s(approx (- (/ (* (sqrt z) y) x) 1) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) y) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (pow.f64 z #s(literal -1 binary64))) z)))

eval19.0ms (0.6%)

Memory
-6.5MiB live, 41.4MiB allocated; 3ms collecting garbage
Compiler

Compiled 4 874 to 652 computations (86.6% saved)

prune160.0ms (5.2%)

Memory
18.8MiB live, 258.1MiB allocated; 8ms collecting garbage
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New1311132
Fresh000
Picked101
Done055
Total1326138
Accuracy
100.0%
Counts
138 → 6
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))))
83.7%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z)) z)))
83.6%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) z)))
71.9%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (/.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))) x)))
68.4%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64))))))
88.9%
(*.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 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) y)) x)))
Compiler

Compiled 366 to 168 computations (54.1% saved)

regimes33.0ms (1.1%)

Memory
1.9MiB live, 49.6MiB allocated; 1ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
(*.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 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) y)) x)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (/.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))) x)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (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 (fma.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z)) z)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
Calls

7 calls:

16.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
3.0ms
y
3.0ms
z
3.0ms
(sqrt.f64 z)
3.0ms
x
Results
AccuracySegmentsBranch
99.8%1(sqrt.f64 z)
99.8%1(*.f64 y (sqrt.f64 z))
99.8%1(+.f64 x (*.f64 y (sqrt.f64 z)))
99.8%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
99.8%1x
99.8%1y
99.8%1z
Compiler

Compiled 25 to 34 computations (-36% saved)

regimes20.0ms (0.7%)

Memory
4.5MiB live, 50.3MiB allocated; 2ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
(*.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 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) y)) x)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (/.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))) x)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (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 (fma.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z)) z)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64)))))
Outputs
(*.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 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) y)) x)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z)) z)))
Calls

7 calls:

5.0ms
x
3.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
2.0ms
y
2.0ms
(sqrt.f64 z)
2.0ms
z
Results
AccuracySegmentsBranch
95.0%2(sqrt.f64 z)
94.4%3(*.f64 y (sqrt.f64 z))
88.9%1(+.f64 x (*.f64 y (sqrt.f64 z)))
88.9%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
95.8%3x
92.6%3y
95.0%2z
Compiler

Compiled 25 to 34 computations (-36% saved)

regimes4.0ms (0.1%)

Memory
11.5MiB live, 11.5MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
(*.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 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) y)) x)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (/.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))) x)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (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)))
Outputs
(*.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 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) y)) x)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) z)))
Calls

2 calls:

2.0ms
(sqrt.f64 z)
2.0ms
z
Results
AccuracySegmentsBranch
94.9%2(sqrt.f64 z)
94.9%2z
Compiler

Compiled 3 to 7 computations (-133.3% saved)

regimes15.0ms (0.5%)

Memory
-21.9MiB live, 29.7MiB allocated; 4ms collecting garbage
Accuracy

Total -13.2b remaining (-186.4%)

Threshold costs -13.2b (-186.4%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.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 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) y)) x)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (/.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))) x)))
Outputs
(*.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 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) y)) x)))
Calls

7 calls:

5.0ms
(sqrt.f64 z)
2.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
2.0ms
(+.f64 x (*.f64 y (sqrt.f64 z)))
1.0ms
(*.f64 y (sqrt.f64 z))
1.0ms
x
Results
AccuracySegmentsBranch
88.9%1(+.f64 x (*.f64 y (sqrt.f64 z)))
88.9%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
88.9%1y
88.9%1(*.f64 y (sqrt.f64 z))
88.9%1x
88.9%1(sqrt.f64 z)
88.9%1z
Compiler

Compiled 25 to 34 computations (-36% saved)

bsearch18.0ms (0.6%)

Memory
-2.5MiB live, 43.2MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
9.16308896267516e-85
1.7974957864671666e-79
Samples
9.0ms144×0valid
Compiler

Compiled 517 to 403 computations (22.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (42.4% of total)
ival-div: 1.0ms (21.2% of total)
ival-add: 1.0ms (21.2% of total)
ival-sqrt: 1.0ms (21.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0.1%)

Memory
4.2MiB live, 4.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
9.16308896267516e-85
1.7974957864671666e-79
Compiler

Compiled 508 to 385 computations (24.2% saved)

simplify32.0ms (1%)

Memory
-18.9MiB live, 28.1MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042162
153162
272162
3124162
4319162
52318162
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
(if (<=.f64 z #s(literal 7742953005213299/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536 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 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) y)) x))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z)) z))))
(if (<=.f64 z #s(literal 7742953005213299/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536 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 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) y)) x))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (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 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) y)) x)))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
(if (<=.f64 z #s(literal 7742953005213299/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536 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 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) y)) x))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z)) z))))
(if (<=.f64 z #s(literal 7742953005213299/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536 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 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) y)) x))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (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 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) y)) x)))

derivations8.0ms (0.2%)

Memory
14.8MiB live, 14.8MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 162 to 43 computations (73.5% saved)

preprocess27.0ms (0.9%)

Memory
11.5MiB live, 58.0MiB allocated; 3ms collecting garbage
Compiler

Compiled 344 to 106 computations (69.2% saved)

end0.0ms (0%)

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

Profiling

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