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

Time bar (total: 8.1s)

start0.0ms (0%)

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

analyze92.0ms (1.1%)

Memory
-0.1MiB live, 151.2MiB allocated; 12ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
50%49.9%49.9%0.1%0%0%0%6
66.7%49.9%25%0.1%0%25%0%7
66.7%49.9%25%0.1%0%25%0%8
66.7%49.9%25%0.1%0%25%0%9
80%49.9%12.5%0.1%0%37.4%0%10
80%49.9%12.5%0.1%0%37.4%0%11
80%49.9%12.5%0.1%0%37.4%0%12
Compiler

Compiled 12 to 12 computations (0% saved)

sample5.3s (65%)

Memory
-259.2MiB live, 2 408.2MiB allocated; 4.7s collecting garbage
Samples
4.6s8 256×0valid
135.0ms2 081×0invalid
Precisions
Click to see histograms. Total time spent on operations: 931.0ms
ival-div: 552.0ms (59.3% of total)
ival-mult: 179.0ms (19.2% of total)
ival-sqrt: 91.0ms (9.8% of total)
ival-add: 86.0ms (9.2% of total)
exact: 9.0ms (1% of total)
ival-true: 7.0ms (0.8% of total)
ival-assert: 4.0ms (0.4% of total)
adjust: 3.0ms (0.3% of total)
Bogosity

explain173.0ms (2.1%)

Memory
-4.4MiB live, 187.6MiB allocated; 13ms 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
63.0ms512×0valid
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 (33.8% of total)
ival-sqrt: 4.0ms (22.5% of total)
ival-div: 3.0ms (16.9% of total)
ival-add: 2.0ms (11.3% of total)
ival-true: 1.0ms (5.6% of total)
exact: 1.0ms (5.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess250.0ms (3.1%)

Memory
34.8MiB live, 129.7MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 10 to 10 computations (0% saved)

eval0.0ms (0%)

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

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
Compiler

Compiled 10 to 10 computations (0% saved)

simplify235.0ms (2.9%)

Memory
-36.9MiB live, 152.8MiB allocated; 35ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y (sqrt.f64 z))
cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
cost-diff1
(+.f64 x (*.f64 y (sqrt.f64 z)))
cost-diff2
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
01626
13126
26326
312226
423526
555426
6402826
0849024
Stop Event
iter limit
node limit
iter limit
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
(*.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))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 (sqrt.f64 z) y x)
x
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
y
(sqrt.f64 z)
z

localize23.0ms (0.3%)

Memory
37.6MiB live, 37.6MiB allocated; 0ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
accuracy0.0
(sqrt.f64 z)
accuracy0.00390625
(+.f64 x (*.f64 y (sqrt.f64 z)))
accuracy0.171875
(*.f64 y (sqrt.f64 z))
Samples
17.0ms256×0valid
Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 3.0ms (36.4% of total)
ival-div: 2.0ms (24.3% of total)
ival-sqrt: 2.0ms (24.3% of total)
ival-add: 1.0ms (12.1% 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)

series34.0ms (0.4%)

Memory
-23.2MiB live, 22.6MiB allocated; 4ms collecting garbage
Counts
5 → 25
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 y (sqrt.f64 z))
(sqrt.f64 z)
Outputs
#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 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 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 (* 1/2 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 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* y (sqrt z)) #s(hole binary64 (* y (sqrt z))))
#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 (* 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 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ 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 (+ 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 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (* (/ 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 (* 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) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z))
1.0ms
z
@inf
((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z))
1.0ms
y
@0
((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z))
1.0ms
y
@-inf
((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z))
1.0ms
y
@inf
((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z))

simplify83.0ms (1%)

Memory
22.3MiB live, 69.2MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0101375
1312375
21166375
03132343
Stop Event
iter limit
iter limit
node limit
Counts
25 → 25
Calls
Call 1
Inputs
#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 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 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 (* 1/2 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 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* y (sqrt z)) #s(hole binary64 (* y (sqrt z))))
#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 (* 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 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ 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 (+ 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 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (* (/ 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 (* 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
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (sqrt z))))
#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) 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)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#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))) #s(hole binary64 x))
#s(approx (+ x (* y (sqrt z))) x)
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#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)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#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)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))
#s(approx (* y (sqrt z)) #s(hole binary64 (* y (sqrt z))))
#s(approx (* y (sqrt z)) (*.f64 (sqrt.f64 z) y))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (+ x (* y (sqrt z))) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (+ x (* y (sqrt z))) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#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) #s(hole binary64 (sqrt z)))
#s(approx (sqrt z) (sqrt.f64 z))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) 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)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))))
#s(approx (* y (sqrt z)) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* y (sqrt z)) (*.f64 (sqrt.f64 z) y))
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (sqrt z) (sqrt.f64 z))

rewrite56.0ms (0.7%)

Memory
-9.3MiB live, 46.3MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
01621
14621
027119
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
5 → 43
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 y (sqrt.f64 z))
(sqrt.f64 z)
Outputs
#s(literal 1/2 binary64)
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (sqrt.f64 z) y) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (sqrt.f64 z) y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64))) (-.f64 x (*.f64 (sqrt.f64 z) y)))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 z) y) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x)))
(fma.f64 (sqrt.f64 z) y x)
(fma.f64 y (sqrt.f64 z) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (sqrt.f64 z) y))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))))
(-.f64 x (*.f64 (neg.f64 (sqrt.f64 z)) y))
(-.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x))))
(+.f64 (*.f64 (sqrt.f64 z) y) x)
(+.f64 x (*.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 z)))
(+.f64 x (*.f64 (sqrt.f64 z) y))
(*.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 x x) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)))) (-.f64 x (*.f64 (sqrt.f64 z) y)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.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 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (-.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 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(pow.f64 z #s(literal 1/2 binary64))
(sqrt.f64 z)
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))

eval10.0ms (0.1%)

Memory
-28.6MiB live, 16.6MiB allocated; 5ms collecting garbage
Compiler

Compiled 956 to 187 computations (80.4% saved)

prune5.0ms (0.1%)

Memory
11.2MiB live, 11.2MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New50757
Fresh000
Picked101
Done000
Total51758
Accuracy
100.0%
Counts
58 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
99.6%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))))))
99.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
89.5%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))
82.8%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))))
50.0%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))
50.9%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 214 to 184 computations (14% saved)

simplify110.0ms (1.4%)

Memory
21.6MiB live, 163.0MiB allocated; 16ms collecting garbage
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64))
cost-diff0
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)
cost-diff0
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))
cost-diff0
(sqrt.f64 z)
cost-diff0
(fma.f64 (sqrt.f64 z) y x)
cost-diff0
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
cost-diff0
(sqrt.f64 z)
cost-diff0
(*.f64 (sqrt.f64 z) y)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))
cost-diff0
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
cost-diff0
(sqrt.f64 z)
cost-diff0
(*.f64 y (sqrt.f64 z))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
cost-diff1
(+.f64 x (*.f64 y (sqrt.f64 z)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027146
040141
166141
2117141
3305141
41230141
55558141
08094141
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
#s(literal 1/2 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)))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))
#s(literal 1/2 binary64)
(*.f64 (sqrt.f64 z) y)
(sqrt.f64 z)
z
y
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 z) y x)
(sqrt.f64 z)
z
y
x
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
(/.f64 y x)
y
x
(sqrt.f64 z)
z
#s(literal 1 binary64)
#s(literal 1/2 binary64)
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 (sqrt.f64 z) y x)
x
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
y
(sqrt.f64 z)
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 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
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 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (sqrt.f64 z) y)
(sqrt.f64 z)
z
y
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 z) y x)
(sqrt.f64 z)
z
y
x
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
(/.f64 y x)
y
x
(sqrt.f64 z)
z
#s(literal 1 binary64)
#s(literal 1/2 binary64)

localize82.0ms (1%)

Memory
-15.1MiB live, 78.4MiB allocated; 4ms collecting garbage
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sqrt.f64 z)
accuracy0.0
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))
accuracy2.431337825029739
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
accuracy4.29313579855176
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)
accuracy0.0
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
accuracy0.0
(sqrt.f64 z)
accuracy0.109375
(fma.f64 (sqrt.f64 z) y x)
accuracy0.0
(sqrt.f64 z)
accuracy0.01171875
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))
accuracy0.171875
(*.f64 (sqrt.f64 z) y)
accuracy31.91447129344985
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))
accuracy0.0
(*.f64 #s(literal 1/2 binary64) x)
accuracy31.40877242885249
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
accuracy0.0
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
accuracy0.0
(sqrt.f64 z)
accuracy0.00390625
(+.f64 x (*.f64 y (sqrt.f64 z)))
accuracy0.171875
(*.f64 y (sqrt.f64 z))
Samples
68.0ms256×0valid
Compiler

Compiled 136 to 24 computations (82.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 39.0ms (81.1% of total)
ival-div: 3.0ms (6.2% of total)
ival-add: 3.0ms (6.2% of total)
ival-sqrt: 2.0ms (4.2% 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)

series19.0ms (0.2%)

Memory
27.6MiB live, 27.6MiB allocated; 0ms collecting garbage
Counts
15 → 92
Calls
Call 1
Inputs
(+.f64 x (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 y (sqrt.f64 z))
(sqrt.f64 z)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))
(*.f64 (sqrt.f64 z) y)
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 z) y x)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
Outputs
#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 (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (sqrt z))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x)))
#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 (+ 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 (* 1/2 x)))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 x))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 1/2))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ 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 (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* y (sqrt z)) #s(hole binary64 (* y (sqrt z))))
#s(approx (* 1/2 (* (sqrt z) y)) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (sqrt z) y) #s(hole binary64 (* y (sqrt z))))
#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 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 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 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (sqrt z) #s(hole binary64 (sqrt z)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* x (+ 1 (* (/ y x) (sqrt z)))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* 1/2 (+ 1 (* (/ y x) (sqrt 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 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 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 (* 1/2 (+ 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 (* 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)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (* 1/2 (* (sqrt z) y)) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (sqrt z) y) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))))
Calls

9 calls:

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

simplify146.0ms (1.8%)

Memory
-29.9MiB live, 212.1MiB allocated; 41ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02041468
15551460
219421436
069191294
Stop Event
iter limit
iter limit
node limit
Counts
92 → 92
Calls
Call 1
Inputs
#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 (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (sqrt z))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x)))
#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 (+ 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 (* 1/2 x)))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 x))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 1/2))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ 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 (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* y (sqrt z)) #s(hole binary64 (* y (sqrt z))))
#s(approx (* 1/2 (* (sqrt z) y)) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (sqrt z) y) #s(hole binary64 (* y (sqrt z))))
#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 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 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 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (sqrt z) #s(hole binary64 (sqrt z)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* x (+ 1 (* (/ y x) (sqrt z)))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* 1/2 (+ 1 (* (/ y x) (sqrt 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 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 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 (* 1/2 (+ 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 (* 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)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (* 1/2 (* (sqrt z) y)) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (sqrt z) y) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))))
Outputs
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (sqrt z))))
#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (sqrt z))))
#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x)))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) x) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* (/ y x) (sqrt z))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (/ (+ x (* y (sqrt z))) x)))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (fma.f64 (sqrt.f64 z) y x) x))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 x))
#s(approx (+ x (* y (sqrt z))) x)
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 x))
#s(approx (+ x (* y (sqrt z))) x)
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 1/2))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(literal 1/2 binary64))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) x) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (+ 1 (* (/ y x) (sqrt z)))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (fma.f64 (sqrt.f64 z) y x) x))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (* y (sqrt z)) #s(hole binary64 (* y (sqrt z))))
#s(approx (* y (sqrt z)) (*.f64 (sqrt.f64 z) y))
#s(approx (* 1/2 (* (sqrt z) y)) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* 1/2 (* (sqrt z) y)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
#s(approx (* (sqrt z) y) #s(hole binary64 (* y (sqrt z))))
#s(approx (* y (sqrt z)) (*.f64 (sqrt.f64 z) y))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) x) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (fma.f64 (sqrt.f64 z) y x) x))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) x) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (fma.f64 (sqrt.f64 z) y x) x))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (sqrt z) #s(hole binary64 (sqrt z)))
#s(approx (sqrt z) (sqrt.f64 z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* x (+ 1 (* (/ y x) (sqrt z)))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* 1/2 (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) x) #s(literal 1/2 binary64)))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (fma.f64 (*.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (fma.f64 (*.f64 (/.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
#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 (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
#s(approx (* y (sqrt z)) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* y (sqrt z)) (*.f64 (sqrt.f64 z) y))
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (sqrt z) (sqrt.f64 z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
#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 (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (* (sqrt z) y)) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* 1/2 (* (sqrt z) y)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
#s(approx (* (sqrt z) y) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* y (sqrt z)) (*.f64 (sqrt.f64 z) y))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (fma.f64 (*.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))
#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) (/.f64 (*.f64 (sqrt.f64 z) y) x))
#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 (+ (* (/ y x) (sqrt z)) 1) (fma.f64 (*.f64 (/.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))

rewrite85.0ms (1%)

Memory
0.5MiB live, 101.5MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027119
040114
1110114
0573114
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
15 → 150
Calls
Call 1
Inputs
(+.f64 x (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 y (sqrt.f64 z))
(sqrt.f64 z)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))
(*.f64 (sqrt.f64 z) y)
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 z) y x)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
Outputs
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (sqrt.f64 z) y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (sqrt.f64 z) y) x)))
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(/.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 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (sqrt.f64 z) y) x))))
(/.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 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 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 (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (sqrt.f64 z) y) x)))
(fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 y x) (*.f64 (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 z) (*.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64))
(fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))) (/.f64 #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(literal 1 binary64) (*.f64 (neg.f64 (/.f64 y x)) (sqrt.f64 z)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 z)) (/.f64 y x)))
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (sqrt.f64 z) y) x))) (/.f64 #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 (sqrt.f64 z) y) x))))
(+.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))

eval16.0ms (0.2%)

Memory
-16.5MiB live, 29.9MiB allocated; 3ms collecting garbage
Compiler

Compiled 2 947 to 451 computations (84.7% saved)

prune9.0ms (0.1%)

Memory
23.5MiB live, 23.5MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New1344138
Fresh112
Picked055
Done000
Total13510145
Accuracy
100.0%
Counts
145 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
99.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
95.1%
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)))
89.5%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))
89.8%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))
43.3%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x))
82.8%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))))
49.8%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) y)))
50.0%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))
50.9%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 300 to 239 computations (20.3% saved)

simplify203.0ms (2.5%)

Memory
10.5MiB live, 240.6MiB allocated; 20ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) y)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) y))
cost-diff0
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) y)))
cost-diff5
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
cost-diff0
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))
cost-diff0
(*.f64 #s(literal 1/2 binary64) z)
cost-diff0
(*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))
cost-diff0
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))))
cost-diff0
(fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1/2 binary64))
cost-diff0
(*.f64 (*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)
cost-diff0
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))
cost-diff0
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x))
cost-diff0
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64))
cost-diff0
(*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x)
cost-diff0
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x))
cost-diff0
(*.f64 z y)
cost-diff0
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
cost-diff0
#s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))
cost-diff0
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043327
069305
1126303
2330303
31406303
45644303
08480297
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)))
#s(literal 1/2 binary64)
#s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
(*.f64 z y)
z
y
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
x
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x))
(*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x)
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x))
(/.f64 (*.f64 (sqrt.f64 z) y) x)
(*.f64 (sqrt.f64 z) y)
(sqrt.f64 z)
z
y
x
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))
(*.f64 (*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)
(*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))
y
(/.f64 (sqrt.f64 z) x)
(sqrt.f64 z)
z
x
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))))
(*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))
(*.f64 #s(literal 1/2 binary64) z)
#s(literal 1/2 binary64)
z
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
y
(/.f64 x z)
x
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) y))
#s(literal 1/2 binary64)
(*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) y)
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(pow.f64 z #s(literal 1/4 binary64))
z
#s(literal 1/4 binary64)
y
Outputs
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)))
(*.f64 #s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z y) x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z y) x))
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z y) x)
(*.f64 z y)
z
y
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
x
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y))))
(*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x)
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)))
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y))
(/.f64 (*.f64 (sqrt.f64 z) y) x)
(*.f64 (/.f64 (sqrt.f64 z) x) y)
(*.f64 (sqrt.f64 z) y)
(sqrt.f64 z)
z
y
x
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))
(*.f64 (*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)
(*.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)
(*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))
(fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64))
y
(/.f64 (sqrt.f64 z) x)
(sqrt.f64 z)
z
x
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) (*.f64 z #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) (*.f64 z #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) z)
(*.f64 z #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
z
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
y
(/.f64 x z)
x
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) y)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z))
#s(literal 1/2 binary64)
(*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) y)
(*.f64 (sqrt.f64 z) y)
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(sqrt.f64 z)
(pow.f64 z #s(literal 1/4 binary64))
z
#s(literal 1/4 binary64)
y

localize229.0ms (2.8%)

Memory
3.8MiB live, 320.9MiB allocated; 123ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) y))
accuracy0.171875
(*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) y)
accuracy0.4925575683790941
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
accuracy31.91447129344985
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) y)))
accuracy0.0
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))))
accuracy0.10546875
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy0.1171875
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))
accuracy10.94846233669867
(*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))
accuracy0.0
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))
accuracy0.20703125
(/.f64 (sqrt.f64 z) x)
accuracy2.207603467360109
(fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))
accuracy4.29313579855176
(*.f64 (*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)
accuracy0.171875
(*.f64 (sqrt.f64 z) y)
accuracy3.092582737337019
(/.f64 (*.f64 (sqrt.f64 z) y) x)
accuracy4.29313579855176
(*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x)
accuracy31.763251860908614
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x))
accuracy0.0
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)))
accuracy0.0
#s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))
accuracy0.10546875
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy3.1545930052006876
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
Samples
201.0ms256×0valid
Compiler

Compiled 244 to 41 computations (83.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 135.0ms
ival-mult: 87.0ms (64.5% of total)
ival-pow: 26.0ms (19.3% of total)
ival-div: 9.0ms (6.7% of total)
ival-add: 8.0ms (5.9% of total)
ival-sqrt: 4.0ms (3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series50.0ms (0.6%)

Memory
-11.1MiB live, 90.1MiB allocated; 21ms collecting garbage
Counts
24 → 139
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)))
#s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
(*.f64 z y)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x))
(*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x)
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))
(*.f64 (*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)
(*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))))
(*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))
(*.f64 #s(literal 1/2 binary64) z)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) y))
(*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) y)
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (sqrt.f64 z) y) x)
(*.f64 (sqrt.f64 z) y)
(/.f64 (sqrt.f64 z) 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 (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (* y (sqrt z))))
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (+ x (* y (sqrt 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 (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x)))
#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 (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z)))))
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x)))
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 (* (/ y x) (sqrt z))))
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 (/ (+ x (* y (sqrt z))) x)))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z))))
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (* (/ y x) (sqrt z))))
#s(approx (/ (sqrt z) x) #s(hole binary64 (* (/ 1 x) (sqrt z))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ 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 (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 x))
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 1/2))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ 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 (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 1/2))
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 1))
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 (+ 1 (* (/ y x) (sqrt z)))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (/ x z)))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (* 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 (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))))
#s(approx (* z y) #s(hole binary64 (* y z)))
#s(approx (* 1/2 (* (* (pow z 1/4) (pow z 1/4)) y)) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* (pow z 1/4) (pow z 1/4)) y) #s(hole binary64 (* y (sqrt z))))
#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 (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))))
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (+ (* (sqrt (/ 1 z)) 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 (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))))
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))))
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 (* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ (* (sqrt (/ 1 z)) 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 (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* x (+ 1 (* (/ y x) (sqrt z)))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* 1/2 (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* x (+ 1 (* (/ y x) (sqrt z)))))))
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (* 1/2 (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* 1/2 z) #s(hole binary64 (* 1/2 z)))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z)))
#s(approx (* (pow z 1/4) (pow z 1/4)) #s(hole binary64 (sqrt z)))
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (sqrt (/ 1 z))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 (* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ 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 (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt z))))
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (* -1 (* z (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1 (/ 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 (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 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 (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 (* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z))))
#s(approx (* (pow z 1/4) (pow z 1/4)) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (* 1/2 (* (* (pow z 1/4) (pow z 1/4)) y)) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (* (pow z 1/4) (pow z 1/4)) y) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 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) x) #s(hole binary64 (* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z)))))
Calls

9 calls:

TimeVariablePointExpression
21.0ms
z
@-inf
((* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) (* (+ (* y (/ (sqrt z) x)) 1) 1/2) (+ (* y (/ (sqrt z) x)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (pow z 1/4) (pow z 1/4)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 (* (* (pow z 1/4) (pow z 1/4)) y)) (* (* (pow z 1/4) (pow z 1/4)) y) (sqrt (/ 1 z)) (/ (* (sqrt z) y) x) (* (sqrt z) y) (/ (sqrt z) x))
5.0ms
x
@inf
((* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) (* (+ (* y (/ (sqrt z) x)) 1) 1/2) (+ (* y (/ (sqrt z) x)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (pow z 1/4) (pow z 1/4)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 (* (* (pow z 1/4) (pow z 1/4)) y)) (* (* (pow z 1/4) (pow z 1/4)) y) (sqrt (/ 1 z)) (/ (* (sqrt z) y) x) (* (sqrt z) y) (/ (sqrt z) x))
4.0ms
y
@0
((* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) (* (+ (* y (/ (sqrt z) x)) 1) 1/2) (+ (* y (/ (sqrt z) x)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (pow z 1/4) (pow z 1/4)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 (* (* (pow z 1/4) (pow z 1/4)) y)) (* (* (pow z 1/4) (pow z 1/4)) y) (sqrt (/ 1 z)) (/ (* (sqrt z) y) x) (* (sqrt z) y) (/ (sqrt z) x))
4.0ms
z
@0
((* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) (* (+ (* y (/ (sqrt z) x)) 1) 1/2) (+ (* y (/ (sqrt z) x)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (pow z 1/4) (pow z 1/4)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 (* (* (pow z 1/4) (pow z 1/4)) y)) (* (* (pow z 1/4) (pow z 1/4)) y) (sqrt (/ 1 z)) (/ (* (sqrt z) y) x) (* (sqrt z) y) (/ (sqrt z) x))
3.0ms
y
@-inf
((* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) (* (+ (* y (/ (sqrt z) x)) 1) 1/2) (+ (* y (/ (sqrt z) x)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (pow z 1/4) (pow z 1/4)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 (* (* (pow z 1/4) (pow z 1/4)) y)) (* (* (pow z 1/4) (pow z 1/4)) y) (sqrt (/ 1 z)) (/ (* (sqrt z) y) x) (* (sqrt z) y) (/ (sqrt z) x))

simplify109.0ms (1.4%)

Memory
-4.1MiB live, 185.4MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02952440
17682378
227832326
082452119
Stop Event
iter limit
node limit
Counts
139 → 139
Calls
Call 1
Inputs
#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 (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (* y (sqrt z))))
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (+ x (* y (sqrt 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 (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x)))
#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 (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z)))))
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x)))
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 (* (/ y x) (sqrt z))))
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 (/ (+ x (* y (sqrt z))) x)))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z))))
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (* (/ y x) (sqrt z))))
#s(approx (/ (sqrt z) x) #s(hole binary64 (* (/ 1 x) (sqrt z))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ 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 (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 x))
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 1/2))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ 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 (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 1/2))
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 1))
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 (+ 1 (* (/ y x) (sqrt z)))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (/ x z)))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (* 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 (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))))
#s(approx (* z y) #s(hole binary64 (* y z)))
#s(approx (* 1/2 (* (* (pow z 1/4) (pow z 1/4)) y)) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* (pow z 1/4) (pow z 1/4)) y) #s(hole binary64 (* y (sqrt z))))
#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 (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))))
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (+ (* (sqrt (/ 1 z)) 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 (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))))
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))))
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 (* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ (* (sqrt (/ 1 z)) 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 (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* x (+ 1 (* (/ y x) (sqrt z)))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* 1/2 (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* x (+ 1 (* (/ y x) (sqrt z)))))))
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (* 1/2 (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* 1/2 z) #s(hole binary64 (* 1/2 z)))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z)))
#s(approx (* (pow z 1/4) (pow z 1/4)) #s(hole binary64 (sqrt z)))
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (sqrt (/ 1 z))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 (* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ 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 (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt z))))
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (* -1 (* z (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1 (/ 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 (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 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 (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 (* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z))))
#s(approx (* (pow z 1/4) (pow z 1/4)) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (* 1/2 (* (* (pow z 1/4) (pow z 1/4)) y)) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (* (pow z 1/4) (pow z 1/4)) y) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 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) x) #s(hole binary64 (* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z)))))
Outputs
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (sqrt z))))
#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x))
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (* y (sqrt z))))
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) (*.f64 (sqrt.f64 z) y))
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) (fma.f64 (sqrt.f64 z) y x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
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#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (fma.f64 (*.f64 z (*.f64 (/.f64 y x) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (fma.f64 (*.f64 (/.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (fma.f64 (*.f64 z (*.f64 (/.f64 y x) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 (* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (fma.f64 (*.f64 (/.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))
#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 (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt z))))
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) (*.f64 (neg.f64 y) (sqrt.f64 z)))
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) #s(hole binary64 (* -1 (* z (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1 (/ x z)))))))
#s(approx (+ (* (* z y) (sqrt (/ 1 z))) x) (fma.f64 (*.f64 (neg.f64 z) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))
#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 (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (fma.f64 (*.f64 z (*.f64 (/.f64 y x) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))
#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) (/.f64 (*.f64 (sqrt.f64 z) y) x))
#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 (+ (* (/ y x) (sqrt z)) 1) (fma.f64 (*.f64 (/.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))
#s(approx (* (* (+ (* y (/ (sqrt z) x)) 1) 1/2) x) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* y (/ (sqrt z) x)) 1) 1/2) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (fma.f64 (*.f64 z (*.f64 (/.f64 y x) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x))
#s(approx (+ (* y (/ (sqrt z) x)) 1) #s(hole binary64 (* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (fma.f64 (*.f64 (/.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 x))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
#s(approx (* (pow z 1/4) (pow z 1/4)) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (* (pow z 1/4) (pow z 1/4)) (sqrt.f64 z))
#s(approx (* 1/2 (* (* (pow z 1/4) (pow z 1/4)) y)) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* 1/2 (* (* (pow z 1/4) (pow z 1/4)) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))
#s(approx (* (* (pow z 1/4) (pow z 1/4)) y) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (sqrt z) y) (*.f64 (sqrt.f64 z) y))
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))
#s(approx (sqrt (/ 1 z)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (/ (* (sqrt z) y) x) (/.f64 (*.f64 (sqrt.f64 z) y) x))
#s(approx (* (sqrt z) y) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (sqrt z) y) (*.f64 (sqrt.f64 z) y))
#s(approx (/ (sqrt z) x) #s(hole binary64 (* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z)))))
#s(approx (/ (sqrt z) x) (/.f64 (sqrt.f64 z) x))

rewrite37.0ms (0.5%)

Memory
13.7MiB live, 60.2MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043284
069260
0217254
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
24 → 77
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)))
#s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
(*.f64 z y)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x))
(*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x)
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))
(*.f64 (*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)
(*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))))
(*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))
(*.f64 #s(literal 1/2 binary64) z)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) y))
(*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) y)
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (sqrt.f64 z) y) x)
(*.f64 (sqrt.f64 z) y)
(/.f64 (sqrt.f64 z) x)
Outputs
(*.f64 #s(approx (+ x (* y (sqrt z))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 z y) x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 z y) x)))
#s(approx (+ x (* y (sqrt z))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 z y) x))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 z y)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 z y))) (*.f64 x x)) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 z y)) x))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 z y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 z y)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 z y)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 z y)) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 z y) x)
(fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x)
(fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x)
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 z y)) x)
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 z y)))
(*.f64 z y)
(*.f64 y z)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) x)
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)))
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))
(*.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)
(*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) (*.f64 (/.f64 (sqrt.f64 z) x) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64))
(fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64))
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
(fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))
(+.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) (*.f64 z #s(literal 1/2 binary64))))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) (*.f64 z #s(literal 1/2 binary64)))
(*.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 z #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) (*.f64 z #s(literal 1/2 binary64))))
(fma.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 x z)))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 z #s(literal 1/2 binary64))) (*.f64 (/.f64 x z) (*.f64 z #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 x z)))
(*.f64 z #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) z)
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) (*.f64 (/.f64 x z) (/.f64 x z))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (/.f64 x z)))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (-.f64 (*.f64 (/.f64 x z) (/.f64 x z)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (/.f64 x z)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))
(fma.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x z))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (/.f64 x z))
(+.f64 (/.f64 x z) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))
(*.f64 (neg.f64 (pow.f64 z #s(literal 1/4 binary64))) (neg.f64 (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 z #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(pow.f64 (*.f64 z z) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 z #s(literal 1/2 binary64))
(sqrt.f64 z)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y)
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
(sqrt.f64 (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 (sqrt.f64 z) x) y)
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 z) y)) (neg.f64 x))
(/.f64 (*.f64 (sqrt.f64 z) y) x)
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(/.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 x))
(/.f64 (sqrt.f64 z) x)

eval13.0ms (0.2%)

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

Compiled 3 162 to 442 computations (86% saved)

prune12.0ms (0.1%)

Memory
-25.8MiB live, 19.8MiB allocated; 4ms collecting garbage
Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New1184122
Fresh000
Picked325
Done145
Total12210132
Accuracy
100.0%
Counts
132 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
99.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
95.1%
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)))
93.3%
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x)))
89.8%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))
39.9%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) x))
39.6%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64)) x))
44.3%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))))
50.0%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))
50.9%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 196 to 155 computations (20.9% saved)

simplify138.0ms (1.7%)

Memory
37.7MiB live, 127.9MiB allocated; 19ms collecting garbage
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x)
cost-diff0
#s(approx (+ x (* y (sqrt z))) (fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x))
cost-diff0
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x)))
cost-diff2
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)
cost-diff0
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y))
cost-diff0
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64))
cost-diff0
(*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) x)
cost-diff0
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) x))
cost-diff0
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z)))
cost-diff0
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))
cost-diff0
(*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64)) x)
cost-diff0
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64)) x))
cost-diff0
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))
cost-diff0
(*.f64 #s(literal 1/2 binary64) z)
cost-diff0
(*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)))
cost-diff0
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044337
063337
1103329
2190329
3417329
41769329
55728329
08107313
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))))
(*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)))
(*.f64 #s(literal 1/2 binary64) z)
#s(literal 1/2 binary64)
z
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
y
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64)) x))
(*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64)) x)
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(/.f64 y x)
y
x
(sqrt.f64 z)
z
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) x))
(*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) x)
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y))
(*.f64 (/.f64 (sqrt.f64 z) x) y)
(/.f64 (sqrt.f64 z) x)
(sqrt.f64 z)
z
x
y
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x)))
#s(literal 1/2 binary64)
#s(approx (+ x (* y (sqrt z))) (fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x))
(fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x)
z
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
#s(literal 1 binary64)
(sqrt.f64 z)
y
x
Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) (*.f64 z #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)))
(*.f64 #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) (*.f64 z #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) z)
(*.f64 z #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
z
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
y
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64)) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y))))
(*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64)) x)
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)))
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z)))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 (sqrt.f64 z) x) y)
(/.f64 y x)
y
x
(sqrt.f64 z)
z
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y))))
(*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) x)
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)))
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y))
(*.f64 (/.f64 (sqrt.f64 z) x) y)
(/.f64 (sqrt.f64 z) x)
(sqrt.f64 z)
z
x
y
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x)))
(*.f64 #s(approx (+ x (* y (sqrt z))) (fma.f64 (/.f64 y (sqrt.f64 z)) z x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (+ x (* y (sqrt z))) (fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x))
#s(approx (+ x (* y (sqrt z))) (fma.f64 (/.f64 y (sqrt.f64 z)) z x))
(fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x)
(fma.f64 (/.f64 y (sqrt.f64 z)) z x)
z
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)
(/.f64 y (sqrt.f64 z))
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
#s(literal 1 binary64)
(sqrt.f64 z)
y
x

localize84.0ms (1%)

Memory
-13.1MiB live, 120.0MiB allocated; 18ms collecting garbage
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
#s(approx (+ x (* y (sqrt z))) (fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x))
accuracy0.23046875
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
accuracy0.234375
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)
accuracy4.217352074593678
(fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x)
accuracy0.20703125
(/.f64 (sqrt.f64 z) x)
accuracy3.0822919818313883
(*.f64 (/.f64 (sqrt.f64 z) x) y)
accuracy4.29313579855176
(*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) x)
accuracy31.763251860908614
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y))
accuracy0.0
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64)) x))
accuracy3.739600842267137
(*.f64 (/.f64 y x) (sqrt.f64 z))
accuracy4.29313579855176
(*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64)) x)
accuracy31.763251860908614
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z)))
accuracy0.10546875
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy0.234375
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
accuracy10.94846233669867
(*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)))
accuracy31.193109470820602
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))
Samples
61.0ms256×0valid
Compiler

Compiled 208 to 32 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 20.0ms (51% of total)
ival-div: 10.0ms (25.5% of total)
ival-add: 5.0ms (12.8% of total)
ival-sqrt: 4.0ms (10.2% 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)

series72.0ms (0.9%)

Memory
1.6MiB live, 52.5MiB allocated; 57ms collecting garbage
Counts
22 → 105
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))))
(*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)))
(*.f64 #s(literal 1/2 binary64) z)
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64)) x))
(*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64)) x)
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) x))
(*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) x)
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x)))
#s(approx (+ x (* y (sqrt z))) (fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x))
(fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 (sqrt.f64 z) x) y)
(/.f64 (sqrt.f64 z) x)
(/.f64 #s(literal 1 binary64) (sqrt.f64 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 (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x)))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* (/ y x) (sqrt z))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (/ (+ x (* y (sqrt z))) x)))
#s(approx (* 1/2 (+ 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 (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (* y (sqrt z))))
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx (* (/ y x) (sqrt z)) #s(hole binary64 (* (/ y x) (sqrt z))))
#s(approx (* (/ (sqrt z) x) y) #s(hole binary64 (* (/ y x) (sqrt z))))
#s(approx (/ (sqrt z) x) #s(hole binary64 (* (/ 1 x) (sqrt z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (/ x z)))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 1/2))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ 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 (* 1/2 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 (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 x))
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#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 (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* (/ 1 (sqrt z)) y) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (* (sqrt (/ 1 z)) y) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 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 (* 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 (+ (* z (* (/ 1 (sqrt z)) y)) x) #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 (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 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 (* 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 (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* 1/2 z) #s(hole binary64 (* 1/2 z)))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z)))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* x (+ 1 (* (/ y x) (sqrt z)))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* 1/2 (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (sqrt (/ 1 z))))
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (sqrt (/ 1 z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 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 (* 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 (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))))
#s(approx (* 1/2 (+ 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 (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x z)))))))
#s(approx (* (sqrt (/ 1 z)) y) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))
#s(approx (* (/ y x) (sqrt z)) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (* (/ (sqrt z) x) y) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (/ (sqrt z) x) #s(hole binary64 (* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z)))))
Calls

9 calls:

TimeVariablePointExpression
43.0ms
z
@0
((* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 (sqrt z)) y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* z (* (/ 1 (sqrt z)) y)) x) (* (sqrt (/ 1 z)) y) (sqrt (/ 1 z)) (* (/ y x) (sqrt z)) (* (/ (sqrt z) x) y) (/ (sqrt z) x) (/ 1 (sqrt z)))
4.0ms
z
@-inf
((* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 (sqrt z)) y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* z (* (/ 1 (sqrt z)) y)) x) (* (sqrt (/ 1 z)) y) (sqrt (/ 1 z)) (* (/ y x) (sqrt z)) (* (/ (sqrt z) x) y) (/ (sqrt z) x) (/ 1 (sqrt z)))
3.0ms
z
@inf
((* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 (sqrt z)) y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* z (* (/ 1 (sqrt z)) y)) x) (* (sqrt (/ 1 z)) y) (sqrt (/ 1 z)) (* (/ y x) (sqrt z)) (* (/ (sqrt z) x) y) (/ (sqrt z) x) (/ 1 (sqrt z)))
2.0ms
y
@-inf
((* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 (sqrt z)) y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* z (* (/ 1 (sqrt z)) y)) x) (* (sqrt (/ 1 z)) y) (sqrt (/ 1 z)) (* (/ y x) (sqrt z)) (* (/ (sqrt z) x) y) (/ (sqrt z) x) (/ 1 (sqrt z)))
2.0ms
x
@-inf
((* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 (sqrt z)) y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* z (* (/ 1 (sqrt z)) y)) x) (* (sqrt (/ 1 z)) y) (sqrt (/ 1 z)) (* (/ y x) (sqrt z)) (* (/ (sqrt z) x) y) (/ (sqrt z) x) (/ 1 (sqrt z)))

simplify145.0ms (1.8%)

Memory
6.2MiB live, 141.4MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02501851
17001792
225491746
073121590
Stop Event
iter limit
iter limit
node limit
Counts
105 → 105
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x)))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* (/ y x) (sqrt z))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (/ (+ x (* y (sqrt z))) x)))
#s(approx (* 1/2 (+ 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 (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (* y (sqrt z))))
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx (* (/ y x) (sqrt z)) #s(hole binary64 (* (/ y x) (sqrt z))))
#s(approx (* (/ (sqrt z) x) y) #s(hole binary64 (* (/ y x) (sqrt z))))
#s(approx (/ (sqrt z) x) #s(hole binary64 (* (/ 1 x) (sqrt z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (/ x z)))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 1/2))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ 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 (* 1/2 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 (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 x))
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#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 (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* (/ 1 (sqrt z)) y) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (* (sqrt (/ 1 z)) y) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 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 (* 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 (+ (* z (* (/ 1 (sqrt z)) y)) x) #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 (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 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 (* 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 (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* 1/2 z) #s(hole binary64 (* 1/2 z)))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z)))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* x (+ 1 (* (/ y x) (sqrt z)))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* 1/2 (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (sqrt (/ 1 z))))
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (sqrt (/ 1 z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 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 (* 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 (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))))
#s(approx (* 1/2 (+ 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 (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x z)))))))
#s(approx (* (sqrt (/ 1 z)) y) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))
#s(approx (* (/ y x) (sqrt z)) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (* (/ (sqrt z) x) y) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (/ (sqrt z) x) #s(hole binary64 (* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt 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)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x)))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) x) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* (/ y x) (sqrt z))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (/ (+ x (* y (sqrt z))) x)))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (fma.f64 (sqrt.f64 z) y x) 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)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#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))) #s(hole binary64 (* y (sqrt z))))
#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x))
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (* y (sqrt z))))
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) (*.f64 (sqrt.f64 z) y))
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) (fma.f64 (sqrt.f64 z) y x))
#s(approx (* (/ y x) (sqrt z)) #s(hole binary64 (* (/ y x) (sqrt z))))
#s(approx (* (/ (sqrt z) x) y) (/.f64 (*.f64 (sqrt.f64 z) y) x))
#s(approx (* (/ (sqrt z) x) y) #s(hole binary64 (* (/ y x) (sqrt z))))
#s(approx (* (/ (sqrt z) x) y) (/.f64 (*.f64 (sqrt.f64 z) y) x))
#s(approx (/ (sqrt z) x) #s(hole binary64 (* (/ 1 x) (sqrt z))))
#s(approx (/ (sqrt z) x) (/.f64 (sqrt.f64 z) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (/ x z)))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 x z))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 1/2))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(literal 1/2 binary64))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) x) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (+ 1 (* (/ y x) (sqrt z)))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (fma.f64 (sqrt.f64 z) y x) x))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#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))) #s(hole binary64 x))
#s(approx (+ x (* y (sqrt z))) x)
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x))
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 x))
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) x)
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) (fma.f64 (sqrt.f64 z) y x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#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))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x))
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) (fma.f64 (sqrt.f64 z) y x))
#s(approx (* (/ 1 (sqrt z)) y) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (* (/ 1 (sqrt z)) y) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))
#s(approx (* (sqrt (/ 1 z)) y) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (* (sqrt (/ 1 z)) y) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z))))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) x) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (fma.f64 (sqrt.f64 z) y x) x))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#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))) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x))
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) (fma.f64 (sqrt.f64 z) y x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) x) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (fma.f64 (sqrt.f64 z) y x) x))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x))
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) (fma.f64 (sqrt.f64 z) y x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 z) #s(hole binary64 (* 1/2 z)))
#s(approx (* 1/2 z) (*.f64 z #s(literal 1/2 binary64)))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z)))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* 1/2 (* x (+ 1 (* (/ y x) (sqrt z)))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* 1/2 (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (sqrt (/ 1 z))))
#s(approx (sqrt (/ 1 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (sqrt (/ 1 z))))
#s(approx (/ 1 (sqrt z)) (sqrt.f64 (/.f64 #s(literal 1 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 (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (fma.f64 (*.f64 (/.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))
#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)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))))
#s(approx (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) #s(hole binary64 (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
#s(approx (* (* (+ (* (/ y x) (sqrt z)) 1) 1/2) x) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))
#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) (/.f64 (*.f64 (sqrt.f64 z) y) x))
#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 (+ (* (/ y x) (sqrt z)) 1) (fma.f64 (*.f64 (/.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
#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)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) #s(hole binary64 (* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x z)))))))
#s(approx (+ (* z (* (/ 1 (sqrt z)) y)) x) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))
#s(approx (* (sqrt (/ 1 z)) y) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))
#s(approx (* (sqrt (/ 1 z)) y) (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))
#s(approx (sqrt (/ 1 z)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
#s(approx (* (/ y x) (sqrt z)) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (* (/ (sqrt z) x) y) (/.f64 (*.f64 (sqrt.f64 z) y) x))
#s(approx (* (/ (sqrt z) x) y) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (* (/ (sqrt z) x) y) (/.f64 (*.f64 (sqrt.f64 z) y) x))
#s(approx (/ (sqrt z) x) #s(hole binary64 (* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z)))))
#s(approx (/ (sqrt z) x) (/.f64 (sqrt.f64 z) x))

rewrite57.0ms (0.7%)

Memory
16.6MiB live, 67.3MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044308
063308
1168284
0977271
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
22 → 131
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))))
(*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)))
(*.f64 #s(literal 1/2 binary64) z)
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64)) x))
(*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64)) x)
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) x))
(*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) x)
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x)))
#s(approx (+ x (* y (sqrt z))) (fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x))
(fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 (sqrt.f64 z) x) y)
(/.f64 (sqrt.f64 z) x)
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) (*.f64 z #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) z)
(*.f64 (*.f64 #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) z) #s(literal 1/2 binary64))
(*.f64 #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) (*.f64 z #s(literal 1/2 binary64)))
(*.f64 (*.f64 z #s(literal 1/2 binary64)) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))))
(*.f64 z (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 y (sqrt.f64 z)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) z))
(*.f64 z #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) z)
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 y (sqrt.f64 z)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y))))
(*.f64 (*.f64 x #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y))) #s(literal 1/2 binary64))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)))
(*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) x)
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) x))
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y))))
(*.f64 (*.f64 x #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y))) #s(literal 1/2 binary64))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)))
(*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) x)
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) x))
(*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)))
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)
(*.f64 y (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 z)))
(/.f64 (*.f64 #s(literal -1 binary64) y) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 y #s(literal -1 binary64)) (neg.f64 (sqrt.f64 z)))
(/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z)))
(/.f64 y (sqrt.f64 z))
(*.f64 #s(approx (+ x (* y (sqrt z))) (fma.f64 (/.f64 y (sqrt.f64 z)) z x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 (/.f64 y (sqrt.f64 z)) z x)))
#s(approx (+ x (* y (sqrt z))) (fma.f64 (/.f64 y (sqrt.f64 z)) z x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 y (sqrt.f64 z)) z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 y (sqrt.f64 z)) z)) (pow.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (/.f64 y (sqrt.f64 z)) z)) (pow.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 2 binary64))))
(fma.f64 (*.f64 z y) (pow.f64 z #s(literal -1/2 binary64)) x)
(fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) z) y x)
(fma.f64 (/.f64 y (sqrt.f64 z)) z x)
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y z) x)
(fma.f64 z (/.f64 y (sqrt.f64 z)) x)
(fma.f64 y (*.f64 (pow.f64 z #s(literal -1/2 binary64)) z) x)
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) x)))
(-.f64 x (*.f64 (neg.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) z)) y))
(-.f64 x (*.f64 (neg.f64 (/.f64 y (sqrt.f64 z))) z))
(-.f64 x (*.f64 (neg.f64 z) (/.f64 y (sqrt.f64 z))))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 y (sqrt.f64 z)) z)) (pow.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 y (sqrt.f64 z)) z)) (pow.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) x)
(+.f64 x (*.f64 (/.f64 y (sqrt.f64 z)) z))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)
(*.f64 y (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 z)))
(/.f64 (*.f64 #s(literal -1 binary64) y) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 y #s(literal -1 binary64)) (neg.f64 (sqrt.f64 z)))
(/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z)))
(/.f64 y (sqrt.f64 z))
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1/2 binary64)))
(*.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)))
(*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64))
(pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 z #s(literal -1/2 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 z))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 z) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z))))
(sqrt.f64 (pow.f64 z #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (sqrt.f64 z) x) y)
(*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) (*.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.f64 (/.f64 y x) (*.f64 (sqrt.f64 z) #s(literal 1 binary64)))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (*.f64 (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y))
(/.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64)) x)
(/.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (neg.f64 x))
(/.f64 (*.f64 (sqrt.f64 z) y) x)
(*.f64 (/.f64 (sqrt.f64 z) x) y)
(*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) (*.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.f64 (/.f64 y x) (*.f64 (sqrt.f64 z) #s(literal 1 binary64)))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (*.f64 (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y))
(/.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64)) x)
(/.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (neg.f64 x))
(/.f64 (*.f64 (sqrt.f64 z) y) x)
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 z))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 x))
(/.f64 (sqrt.f64 z) x)
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x))
(neg.f64 (/.f64 (sqrt.f64 z) (neg.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1/2 binary64)))
(*.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)))
(*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64))
(pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 z #s(literal -1/2 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 z))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 z) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z))))
(sqrt.f64 (pow.f64 z #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal -1 binary64))) #s(literal 1/2 binary64)))

eval17.0ms (0.2%)

Memory
-16.9MiB live, 27.9MiB allocated; 6ms collecting garbage
Compiler

Compiled 3 600 to 539 computations (85% saved)

prune11.0ms (0.1%)

Memory
23.0MiB live, 23.0MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New1232125
Fresh000
Picked224
Done156
Total1269135
Accuracy
100.0%
Counts
135 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
93.4%
(*.f64 #s(approx (+ x (* y (sqrt z))) (fma.f64 (/.f64 y (sqrt.f64 z)) z x)) #s(literal 1/2 binary64))
99.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
95.1%
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)))
39.9%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) x))
44.4%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) z) #s(literal 1/2 binary64)))
44.3%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))))
50.0%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))
50.9%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 537 to 232 computations (56.8% saved)

regimes42.0ms (0.5%)

Memory
-26.8MiB live, 64.1MiB allocated; 9ms collecting garbage
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) z) #s(literal 1/2 binary64)))
(*.f64 #s(approx (+ x (* y (sqrt z))) (fma.f64 (/.f64 y (sqrt.f64 z)) z x)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64)) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) #s(literal 1/2 binary64)) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x)))
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) y)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))))))
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
Calls

7 calls:

7.0ms
z
7.0ms
(*.f64 y (sqrt.f64 z))
5.0ms
(sqrt.f64 z)
5.0ms
y
5.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
Results
AccuracySegmentsBranch
99.8%1(sqrt.f64 z)
99.8%1(*.f64 y (sqrt.f64 z))
99.8%1(+.f64 x (*.f64 y (sqrt.f64 z)))
99.8%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
99.8%1x
99.8%1y
99.8%1z
Compiler

Compiled 25 to 34 computations (-36% saved)

regimes12.0ms (0.1%)

Memory
25.4MiB live, 25.4MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
Outputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
Calls

7 calls:

2.0ms
y
2.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
2.0ms
x
2.0ms
z
2.0ms
(+.f64 x (*.f64 y (sqrt.f64 z)))
Results
AccuracySegmentsBranch
99.8%1(sqrt.f64 z)
99.8%1(*.f64 y (sqrt.f64 z))
99.8%1(+.f64 x (*.f64 y (sqrt.f64 z)))
99.8%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
99.8%1x
99.8%1y
99.8%1z
Compiler

Compiled 25 to 34 computations (-36% saved)

regimes15.0ms (0.2%)

Memory
-26.0MiB live, 24.5MiB allocated; 8ms collecting garbage
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))
Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Calls

7 calls:

4.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
3.0ms
(+.f64 x (*.f64 y (sqrt.f64 z)))
1.0ms
x
1.0ms
(sqrt.f64 z)
1.0ms
(*.f64 y (sqrt.f64 z))
Results
AccuracySegmentsBranch
62.7%2(sqrt.f64 z)
79.1%3(*.f64 y (sqrt.f64 z))
64.6%5(+.f64 x (*.f64 y (sqrt.f64 z)))
64.6%5(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
79.4%3x
74.6%3y
62.7%2z
Compiler

Compiled 25 to 34 computations (-36% saved)

regimes8.0ms (0.1%)

Memory
19.1MiB live, 19.1MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

7 calls:

1.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
1.0ms
z
1.0ms
(+.f64 x (*.f64 y (sqrt.f64 z)))
1.0ms
(sqrt.f64 z)
1.0ms
x
Results
AccuracySegmentsBranch
50.9%1(+.f64 x (*.f64 y (sqrt.f64 z)))
50.9%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
50.9%1(sqrt.f64 z)
50.9%1z
50.9%1y
50.9%1(*.f64 y (sqrt.f64 z))
50.9%1x
Compiler

Compiled 25 to 34 computations (-36% saved)

bsearch32.0ms (0.4%)

Memory
0.2MiB live, 45.8MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
5398244373.259462
1163935619179564.8
15.0ms
-0.005129321848219433
-3.856637594711638e-7
Samples
18.0ms272×0valid
Compiler

Compiled 540 to 526 computations (2.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 3.0ms (34% of total)
ival-div: 2.0ms (22.7% of total)
ival-sqrt: 2.0ms (22.7% of total)
ival-add: 1.0ms (11.3% 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)

simplify47.0ms (0.6%)

Memory
-17.4MiB live, 27.3MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02863
14863
29363
332763
4150663
5618363
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(if (<=.f64 x #s(literal -2508757194024499/73786976294838206464 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 x #s(literal 3250000000000 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) x))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(if (<=.f64 x #s(literal -2508757194024499/73786976294838206464 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 x #s(literal 3250000000000 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) x))))
(if (or (<=.f64 x #s(literal -2508757194024499/73786976294838206464 binary64)) (not (<=.f64 x #s(literal 3250000000000 binary64)))) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

derivations33.0ms (0.4%)

Memory
3.1MiB live, 42.5MiB allocated; 8ms collecting garbage
Stop Event
fuel
Compiler

Compiled 69 to 29 computations (58% saved)

preprocess32.0ms (0.4%)

Memory
-2.0MiB live, 52.5MiB allocated; 16ms collecting garbage
Compiler

Compiled 158 to 78 computations (50.6% saved)

end0.0ms (0%)

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

Profiling

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