Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, D

Time bar (total: 30.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.0MiB allocated

analyze358.0ms (1.2%)

Memory
14.5MiB live, 559.0MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
0%0%99.8%0.2%0%0%0%5
0%0%99.8%0.2%0%0%0%6
0%0%99.8%0.2%0%0%0%7
0%0%99.8%0.2%0%0%0%8
4.2%3.1%71.7%0.2%0%25%0%9
4.2%3.1%71.3%0.2%0%25.3%0%10
6.3%4.7%69.2%0.2%0%25.9%0%11
9.2%6.6%65.8%0.2%0%27.4%0%12
Compiler

Compiled 21 to 20 computations (4.8% saved)

sample5.1s (17%)

Memory
106.8MiB live, 5 753.1MiB allocated
Samples
2.1s15 716×0invalid
1.4s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.4s
ival-div: 1.0s (41.3% of total)
ival-mult: 962.0ms (39.5% of total)
ival-sqrt: 213.0ms (8.7% of total)
ival-acos: 187.0ms (7.7% of total)
exact: 43.0ms (1.8% of total)
ival-true: 18.0ms (0.7% of total)
ival-assert: 9.0ms (0.4% of total)
Bogosity

explain218.0ms (0.7%)

Memory
-13.2MiB live, 305.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
290-6(-1.1321041015195299e-67 -1.3986852180350706e+255 2.1963706353132213e-191 4.168171936374879e-248)(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
170-3(-2.5695369129886328e-238 2.965685188159265e-61 4.783555631733301e+141 3.744704125144197e+292)(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
00-0-t
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
00-0-(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
00-0-(*.f64 y #s(literal 27 binary64))
00-0-y
00-0-(/.f64 x (*.f64 y #s(literal 27 binary64)))
00-0-#s(literal 27 binary64)
00-0-z
00-0-(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
00-0-(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
00-0-#s(literal 2 binary64)
00-0-(*.f64 z #s(literal 2 binary64))
00-0-(sqrt.f64 t)
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))u/n210
(/.f64 x (*.f64 y #s(literal 27 binary64)))underflow60
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))underflow60
*.f64(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))n*u140
/.f64(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))o/n20
(/.f64 x (*.f64 y #s(literal 27 binary64)))overflow2
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))overflow2
Confusion
Predicted +Predicted -
+30
-34219
Precision
0.08108108108108109
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+300
-340219
Precision?
0.08108108108108109
Recall?
1.0
Freqs
test
numberfreq
0219
137
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
68.0ms512×0valid
Compiler

Compiled 207 to 58 computations (72% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 14.0ms (39.9% of total)
ival-div: 11.0ms (31.3% of total)
ival-acos: 5.0ms (14.2% of total)
ival-sqrt: 4.0ms (11.4% of total)
ival-true: 1.0ms (2.8% of total)
exact: 1.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)

preprocess161.0ms (0.5%)

Memory
12.9MiB live, 129.5MiB allocated
Algorithm
egg-herbie
Rules
2 044×lower-*.f32
2 034×lower-*.f64
1 530×unsub-neg
1 368×associate-*r/
1 168×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
089246
1275212
2967184
33633184
44322184
55222184
66504184
01817
02917
14915
212713
339413
4140113
5310013
6319013
7324113
8324113
9324113
10384013
11387913
12387913
0387913
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))
Symmetry

(sort y z)

Compiler

Compiled 23 to 18 computations (21.7% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.5%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify78.0ms (0.3%)

Memory
4.4MiB live, 77.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
cost-diff320
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
cost-diff704
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
Rules
2 044×lower-*.f32
2 034×lower-*.f64
1 368×associate-*r/
1 168×associate-*r*
1 118×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01886
02986
14976
212768
339468
4140168
5310068
6319068
7324168
8324168
9324168
10384068
11387968
12387968
0387968
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
(/.f64 x (*.f64 y #s(literal 27 binary64)))
x
(*.f64 y #s(literal 27 binary64))
y
#s(literal 27 binary64)
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(sqrt.f64 t)
t
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
(*.f64 x (/.f64 #s(literal 1/9 binary64) y))
(/.f64 x (*.f64 y #s(literal 27 binary64)))
x
(*.f64 y #s(literal 27 binary64))
y
#s(literal 27 binary64)
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(sqrt.f64 t)
t

localize59.0ms (0.2%)

Memory
0.8MiB live, 117.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.21875
(/.f64 x (*.f64 y #s(literal 27 binary64)))
accuracy0.96875
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
accuracy3.105644647744302
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
accuracy5.658191943841014
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
Samples
38.0ms256×0valid
Compiler

Compiled 92 to 20 computations (78.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 10.0ms (49.3% of total)
ival-div: 5.0ms (24.7% of total)
ival-sqrt: 2.0ms (9.9% of total)
ival-acos: 2.0ms (9.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series41.0ms (0.1%)

Memory
7.7MiB live, 76.1MiB allocated
Counts
6 → 180
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (patch (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())
#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (* 1/18 (/ x (* y z))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor inf y) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor inf y) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor inf y) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) (taylor -inf t) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor inf y) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor inf y) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor inf y) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor inf y) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
Calls

45 calls:

TimeVariablePointExpression
8.0ms
x
@0
(/ x (* y 27))
5.0ms
x
@0
(* 3 (/ x (* y 27)))
2.0ms
x
@inf
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))
1.0ms
z
@0
(/ (* 3 (/ x (* y 27))) (* z 2))
1.0ms
t
@-inf
(* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))

simplify169.0ms (0.6%)

Memory
-28.0MiB live, 214.9MiB allocated
Algorithm
egg-herbie
Rules
4 158×lower-*.f64
4 158×lower-*.f32
3 468×lower-/.f32
3 468×lower-/.f64
1 212×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0311616
1661604
21971596
37251596
425601596
544521596
662331596
080921596
Stop Event
iter limit
node limit
Counts
180 → 180
Calls
Call 1
Inputs
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
Outputs
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
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(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
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(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
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(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
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(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))

rewrite406.0ms (1.3%)

Memory
13.5MiB live, 390.7MiB allocated
Rules
5 832×lower-*.f32
5 822×lower-*.f64
3 672×lower-/.f32
3 668×lower-/.f64
1 650×lower-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01855
02955
16947
238741
3374241
0821441
Stop Event
iter limit
node limit
iter limit
Counts
6 → 588
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 x (*.f64 y #s(literal 27 binary64)))
Outputs
#s(literal 1/3 binary64)
(exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/9 binary64))) y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 (*.f64 z #s(literal -2 binary64)) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z #s(literal -2 binary64))) (/.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 (*.f64 z #s(literal -2 binary64)) y)))
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eval171.0ms (0.6%)

Memory
-2.6MiB live, 255.6MiB allocated
Compiler

Compiled 14 668 to 3 054 computations (79.2% saved)

prune136.0ms (0.5%)

Memory
-0.8MiB live, 268.5MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New7617768
Fresh000
Picked101
Done000
Total7627769
Accuracy
98.5%
Counts
769 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.0%
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64)))
96.9%
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
97.0%
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))))
44.3%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
98.0%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t))))
97.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
96.9%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))))
Compiler

Compiled 436 to 278 computations (36.2% saved)

simplify256.0ms (0.8%)

Memory
12.6MiB live, 131.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff192
(*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))
cost-diff704
(/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64)))
cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
cost-diff12928
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64)))
cost-diff0
(*.f64 (PI.f64) #s(literal 1/2 binary64))
cost-diff128
(*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64))
cost-diff320
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))
cost-diff320
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64)))
cost-diff0
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
cost-diff0
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
cost-diff320
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
cost-diff704
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
cost-diff0
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
cost-diff0
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))
cost-diff0
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
cost-diff0
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))))
cost-diff0
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t))
cost-diff0
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))
cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t))))
cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
Rules
3 540×lower-*.f32
3 504×lower-*.f64
2 558×associate-/r*
2 544×lower-/.f32
2 532×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066504
0109483
1185446
2429424
31162424
42756424
53449424
63595424
73664424
83774424
93828424
105063424
115361424
126077424
136106424
146108424
156108424
166392424
176392424
186637424
196664424
206677424
216679424
226679424
236679424
08135423
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
#s(literal 1/18 binary64)
(/.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
(sqrt.f64 t)
t
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
#s(literal 1/3 binary64)
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))
#s(literal 1/18 binary64)
(*.f64 x (sqrt.f64 t))
x
(sqrt.f64 t)
t
(*.f64 y z)
y
z
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
#s(literal 1/3 binary64)
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
#s(literal 3 binary64)
(/.f64 x (*.f64 y #s(literal 27 binary64)))
x
(*.f64 y #s(literal 27 binary64))
y
#s(literal 27 binary64)
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(sqrt.f64 t)
t
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
#s(literal 1/3 binary64)
(*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64))
(neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))))
(asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t)))
#s(literal 3 binary64)
(*.f64 x (sqrt.f64 t))
x
(sqrt.f64 t)
t
(*.f64 y (*.f64 z #s(literal 54 binary64)))
y
(*.f64 z #s(literal 54 binary64))
z
#s(literal 54 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64)))
(*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))
(log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64)))
(*.f64 (/.f64 y x) #s(literal 9 binary64))
(/.f64 y x)
y
x
#s(literal 9 binary64)
#s(literal -1 binary64)
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(sqrt.f64 t)
t
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t))))
(*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 (*.f64 y z) #s(literal 18 binary64)))) (sqrt.f64 t))) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 (*.f64 y z) #s(literal 18 binary64)))) (sqrt.f64 t)))
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t))
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 (*.f64 y z) #s(literal 18 binary64)))) (sqrt.f64 t))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 (*.f64 y z) #s(literal 18 binary64))))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(/.f64 x (*.f64 (*.f64 y z) #s(literal 18 binary64)))
#s(literal 1/18 binary64)
(/.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
(sqrt.f64 t)
t
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 (*.f64 y z) #s(literal 18 binary64))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 (*.f64 y z) #s(literal 18 binary64)))))
#s(literal 1/3 binary64)
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))
(acos.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 (*.f64 y z) #s(literal 18 binary64))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 (*.f64 y z) #s(literal 18 binary64)))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
#s(literal 1/18 binary64)
(*.f64 x (sqrt.f64 t))
x
(sqrt.f64 t)
t
(*.f64 y z)
y
z
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 (*.f64 y z) #s(literal 18 binary64)))))
#s(literal 1/3 binary64)
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(acos.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 (*.f64 y z) #s(literal 18 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 (*.f64 y z) #s(literal 18 binary64)))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(/.f64 x (*.f64 (*.f64 y z) #s(literal 18 binary64)))
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
(/.f64 x (*.f64 y #s(literal 9 binary64)))
#s(literal 3 binary64)
(/.f64 x (*.f64 y #s(literal 27 binary64)))
x
(*.f64 y #s(literal 27 binary64))
y
#s(literal 27 binary64)
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(sqrt.f64 t)
t
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64)))
(fma.f64 (asin.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 (*.f64 y z) #s(literal 18 binary64)))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
#s(literal 1/3 binary64)
(*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64))
(*.f64 (asin.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 (*.f64 y z) #s(literal 18 binary64)))) #s(literal -1/3 binary64))
(neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))))
(neg.f64 (asin.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 (*.f64 y z) #s(literal 18 binary64)))))
(asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))
(asin.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 (*.f64 y z) #s(literal 18 binary64))))
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))
(/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 (*.f64 y z) #s(literal 18 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t)))
#s(literal 3 binary64)
(*.f64 x (sqrt.f64 t))
x
(sqrt.f64 t)
t
(*.f64 y (*.f64 z #s(literal 54 binary64)))
(*.f64 (*.f64 y z) #s(literal 54 binary64))
y
(*.f64 z #s(literal 54 binary64))
z
#s(literal 54 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 (*.f64 y z) #s(literal 18 binary64)))))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(acos.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 (*.f64 y z) #s(literal 18 binary64))))
(*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 (*.f64 y z) #s(literal 18 binary64)))
(/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64)))
(/.f64 x (*.f64 (*.f64 y z) #s(literal 18 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64)))
(/.f64 x (*.f64 y #s(literal 9 binary64)))
(*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))
(neg.f64 (log.f64 (*.f64 y (/.f64 #s(literal 9 binary64) x))))
(log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64)))
(log.f64 (*.f64 y (/.f64 #s(literal 9 binary64) x)))
(*.f64 (/.f64 y x) #s(literal 9 binary64))
(*.f64 y (/.f64 #s(literal 9 binary64) x))
(/.f64 y x)
y
x
#s(literal 9 binary64)
#s(literal -1 binary64)
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(sqrt.f64 t)
t

localize313.0ms (1%)

Memory
-16.0MiB live, 377.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy1.8106874611616213
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64)))
accuracy1.9071359334385949
(*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
accuracy2.6948578234740044
(/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64)))
accuracy8.093907335679189
(log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64)))
accuracy0.1484375
(*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t)))
accuracy0.43359375
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64)))
accuracy2.8669547845216834
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))
accuracy33.66324293489355
(PI.f64)
accuracy0.09765625
(/.f64 x (*.f64 y #s(literal 27 binary64)))
accuracy0.4375
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
accuracy1.9071359334385949
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
accuracy2.6948578234740044
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
accuracy0.09375
(*.f64 x (sqrt.f64 t))
accuracy0.12728500976844204
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))
accuracy0.4375
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
accuracy2.9099235345216834
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
accuracy0.125
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
accuracy0.4375
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t))))
accuracy1.9071359334385949
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t))
accuracy2.386801215611427
(/.f64 x (*.f64 y z))
Samples
84.0ms139×0invalid
49.0ms117×0valid
Compiler

Compiled 471 to 55 computations (88.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 102.0ms
ival-mult: 61.0ms (60% of total)
ival-div: 15.0ms (14.8% of total)
ival-acos: 6.0ms (5.9% of total)
const: 6.0ms (5.9% of total)
ival-exp: 3.0ms (3% of total)
ival-asin: 2.0ms (2% of total)
ival-log: 2.0ms (2% of total)
ival-sqrt: 2.0ms (2% of total)
ival-pi: 1.0ms (1% of total)
ival-add: 1.0ms (1% of total)
exact: 1.0ms (1% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series194.0ms (0.6%)

Memory
24.3MiB live, 410.8MiB allocated
Counts
29 → 1 008
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) #<representation binary64>) () ())
#s(alt (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t))) (patch (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)) (patch (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)) #<representation binary64>) () ())
#s(alt #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))) (patch #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) (patch (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) #<representation binary64>) () ())
#s(alt (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) (patch (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)) (patch (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (patch (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) (patch (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) #<representation binary64>) () ())
#s(alt (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))) (patch (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64))) (patch (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64)) (patch (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) #s(literal 1/2 binary64)) (patch (*.f64 (PI.f64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64)) (patch (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x (*.f64 y z)) (patch (/.f64 x (*.f64 y z)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (patch (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (patch (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) #<representation binary64>) () ())
#s(alt (*.f64 x (sqrt.f64 t)) (patch (*.f64 x (sqrt.f64 t)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())
#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (patch (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) #<representation binary64>) () ())
#s(alt (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) (patch (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) #<representation binary64>) () ())) ())
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#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor inf x) (#s(alt (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 z) (#s(alt (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 z) (#s(alt (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 z) (#s(alt (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 z) (#s(alt (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor inf z) (#s(alt (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor inf z) (#s(alt (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor inf z) (#s(alt (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor inf z) (#s(alt (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf z) (#s(alt (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf z) (#s(alt (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf z) (#s(alt (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf z) (#s(alt (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor inf t) (#s(alt (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor inf t) (#s(alt (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor inf t) (#s(alt (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor inf t) (#s(alt (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) (taylor -inf t) (#s(alt (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) (taylor -inf t) (#s(alt (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) (taylor -inf t) (#s(alt (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) (taylor -inf t) (#s(alt (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
Calls

252 calls:

TimeVariablePointExpression
42.0ms
y
@0
(* (log (* (/ y x) 9)) -1)
35.0ms
x
@-inf
(* (log (* (/ y x) 9)) -1)
20.0ms
y
@-inf
(* (log (* (/ y x) 9)) -1)
18.0ms
x
@0
(* (log (* (/ y x) 9)) -1)
7.0ms
y
@inf
(* (log (* (/ y x) 9)) -1)

simplify265.0ms (0.9%)

Memory
-27.5MiB live, 271.9MiB allocated
Algorithm
egg-herbie
Rules
4 130×lower-*.f64
4 130×lower-*.f32
3 074×lower-fma.f64
3 074×lower-fma.f32
2 508×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08610196
119710028
24559980
312639980
425669980
551789980
667999968
080159920
Stop Event
iter limit
node limit
Counts
1 008 → 1 008
Calls
Call 1
Inputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(+ (log (/ -9 x)) (* -1 (log (/ -1 y))))
(+ (log (/ -9 x)) (* -1 (log (/ -1 y))))
(+ (log (/ -9 x)) (* -1 (log (/ -1 y))))
(+ (log (* 9 y)) (* -1 (log x)))
(+ (log (* 9 y)) (* -1 (log x)))
(+ (log (* 9 y)) (* -1 (log x)))
(+ (log (* 9 y)) (* -1 (log x)))
(+ (log (* 9 y)) (log (/ 1 x)))
(+ (log (* 9 y)) (log (/ 1 x)))
(+ (log (* 9 y)) (log (/ 1 x)))
(+ (log (* 9 y)) (log (/ 1 x)))
(+ (log (* -9 y)) (log (/ -1 x)))
(+ (log (* -9 y)) (log (/ -1 x)))
(+ (log (* -9 y)) (log (/ -1 x)))
(+ (log (* -9 y)) (log (/ -1 x)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
Outputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 3 (* (sqrt t) x))
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64))
(* 3 (* (sqrt t) x))
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64))
(* 3 (* (sqrt t) x))
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64))
(* 3 (* (sqrt t) x))
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64))
(* 3 (* (sqrt t) x))
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64))
(* 3 (* (sqrt t) x))
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64))
(* 3 (* (sqrt t) x))
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64))
(* 3 (* (sqrt t) x))
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64))
(* 3 (* (sqrt t) x))
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64))
(* 3 (* (sqrt t) x))
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64))
(* 3 (* (sqrt t) x))
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64))
(* 3 (* (sqrt t) x))
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64))
(* 3 (* (sqrt t) x))
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64))
(* 3 (* (sqrt t) x))
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64))
(* 3 (* (sqrt t) x))
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64))
(* 3 (* (sqrt t) x))
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64))
(* 3 (* (sqrt t) x))
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64))
(* 3 (* (sqrt t) x))
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64))
(* 3 (* (sqrt t) x))
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64))
(* 3 (* (sqrt t) x))
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64))
(* -3 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64))
(* -3 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64))
(* -3 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64))
(* -3 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64))
(+ (log y) (log (/ 9 x)))
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 9 binary64) x)))
(+ (log y) (log (/ 9 x)))
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 9 binary64) x)))
(+ (log y) (log (/ 9 x)))
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 9 binary64) x)))
(+ (log y) (log (/ 9 x)))
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 9 binary64) x)))
(+ (log (/ 9 x)) (* -1 (log (/ 1 y))))
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 9 binary64) x)))
(+ (log (/ 9 x)) (* -1 (log (/ 1 y))))
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 9 binary64) x)))
(+ (log (/ 9 x)) (* -1 (log (/ 1 y))))
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 9 binary64) x)))
(+ (log (/ 9 x)) (* -1 (log (/ 1 y))))
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 9 binary64) x)))
(+ (log (/ -9 x)) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (/.f64 #s(literal -9 binary64) x)) (neg.f64 (log.f64 (neg.f64 y))))
(+ (log (/ -9 x)) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (/.f64 #s(literal -9 binary64) x)) (neg.f64 (log.f64 (neg.f64 y))))
(+ (log (/ -9 x)) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (/.f64 #s(literal -9 binary64) x)) (neg.f64 (log.f64 (neg.f64 y))))
(+ (log (/ -9 x)) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (/.f64 #s(literal -9 binary64) x)) (neg.f64 (log.f64 (neg.f64 y))))
(+ (log (* 9 y)) (* -1 (log x)))
(-.f64 (log.f64 (*.f64 y #s(literal 9 binary64))) (log.f64 x))
(+ (log (* 9 y)) (* -1 (log x)))
(-.f64 (log.f64 (*.f64 y #s(literal 9 binary64))) (log.f64 x))
(+ (log (* 9 y)) (* -1 (log x)))
(-.f64 (log.f64 (*.f64 y #s(literal 9 binary64))) (log.f64 x))
(+ (log (* 9 y)) (* -1 (log x)))
(-.f64 (log.f64 (*.f64 y #s(literal 9 binary64))) (log.f64 x))
(+ (log (* 9 y)) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 y #s(literal 9 binary64))) (log.f64 x))
(+ (log (* 9 y)) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 y #s(literal 9 binary64))) (log.f64 x))
(+ (log (* 9 y)) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 y #s(literal 9 binary64))) (log.f64 x))
(+ (log (* 9 y)) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 y #s(literal 9 binary64))) (log.f64 x))
(+ (log (* -9 y)) (log (/ -1 x)))
(-.f64 (log.f64 (*.f64 y #s(literal -9 binary64))) (log.f64 (neg.f64 x)))
(+ (log (* -9 y)) (log (/ -1 x)))
(-.f64 (log.f64 (*.f64 y #s(literal -9 binary64))) (log.f64 (neg.f64 x)))
(+ (log (* -9 y)) (log (/ -1 x)))
(-.f64 (log.f64 (*.f64 y #s(literal -9 binary64))) (log.f64 (neg.f64 x)))
(+ (log (* -9 y)) (log (/ -1 x)))
(-.f64 (log.f64 (*.f64 y #s(literal -9 binary64))) (log.f64 (neg.f64 x)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))

rewrite752.0ms (2.5%)

Memory
23.8MiB live, 410.3MiB allocated
Rules
5 232×lower-*.f32
5 196×lower-*.f64
4 222×lower-/.f32
4 210×lower-/.f64
3 998×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064338
0103322
1259294
21450273
08342273
Stop Event
iter limit
node limit
iter limit
Counts
29 → 2 759
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t))))
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64)))
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))
(*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64)))
(/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64)))
(*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))
(/.f64 x (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))
(*.f64 x (sqrt.f64 t))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 x (*.f64 y #s(literal 27 binary64)))
(PI.f64)
(*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t)))
(log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64)))
(*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
Outputs
#s(literal 1/3 binary64)
(*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))))
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t)))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (+.f64 (pow.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))))))) (/.f64 (pow.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 3 binary64)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (+.f64 (pow.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))))))))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))))) (/.f64 (pow.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t)))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t)))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t)))))
(fma.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64) (neg.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (neg.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (+.f64 (pow.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t)))))) (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 3 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (+.f64 (pow.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (+.f64 (pow.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))))))
(/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (neg.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (-.f64 (*.f64 (neg.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t)))) (neg.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t)))) (neg.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t)))))) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))))))
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (+.f64 (pow.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))))))))
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))))))
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
(+.f64 (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64)) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))) (neg.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/3 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 #s(literal -1/6 binary64) (PI.f64)))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (fma.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 #s(literal -1/6 binary64) (PI.f64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/6 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))) (neg.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))))))
(fma.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))) (neg.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))))))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/3 binary64)) (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64)))
(fma.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(fma.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
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(*.f64 (pow.f64 (*.f64 (*.f64 y z) #s(literal 1/3 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 54 binary64) (*.f64 x (sqrt.f64 t))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 y z) (*.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 54 binary64) (sqrt.f64 t)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 18 binary64) (/.f64 z x)) #s(literal -1 binary64)) (pow.f64 (/.f64 y (sqrt.f64 t)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 y #s(literal 54 binary64))) (/.f64 (*.f64 #s(literal 3 binary64) x) z))
(*.f64 (/.f64 x (*.f64 y #s(literal 54 binary64))) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) z))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 t)) y) (/.f64 x (*.f64 z #s(literal 54 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y #s(literal 54 binary64))) (/.f64 #s(literal 3 binary64) z))
(*.f64 (/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 54 binary64))) (/.f64 (*.f64 x (sqrt.f64 t)) z))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal 54 binary64))) (/.f64 (sqrt.f64 t) z))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 54 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 54 binary64)) (/.f64 (/.f64 (sqrt.f64 t) y) z))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) z) (/.f64 (sqrt.f64 t) (*.f64 y #s(literal 54 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) z) (/.f64 (sqrt.f64 t) (*.f64 #s(literal 54 binary64) y)))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) z) (/.f64 (/.f64 (sqrt.f64 t) y) #s(literal 54 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 t)) z) (/.f64 x (*.f64 y #s(literal 54 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 t)) z) (/.f64 x (*.f64 #s(literal 54 binary64) y)))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 t)) (*.f64 y z)) (*.f64 x #s(literal 1/54 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 t)) #s(literal 54 binary64)) (/.f64 x (*.f64 y z)))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 t)) (*.f64 z #s(literal 54 binary64))) (/.f64 x y))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 t)) (*.f64 y #s(literal 54 binary64))) (/.f64 x z))
(*.f64 (/.f64 #s(literal 3 binary64) (neg.f64 y)) (/.f64 (neg.f64 (*.f64 x (sqrt.f64 t))) (*.f64 z #s(literal 54 binary64))))
(*.f64 (/.f64 (neg.f64 (*.f64 x (sqrt.f64 t))) (*.f64 z #s(literal 54 binary64))) (/.f64 #s(literal 3 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 3 binary64) (*.f64 y (neg.f64 z))) (/.f64 (neg.f64 (*.f64 x (sqrt.f64 t))) #s(literal 54 binary64)))
(*.f64 (/.f64 #s(literal 3 binary64) (neg.f64 (*.f64 z #s(literal 54 binary64)))) (/.f64 (neg.f64 (*.f64 x (sqrt.f64 t))) y))
(*.f64 (/.f64 (neg.f64 (*.f64 x (sqrt.f64 t))) y) (/.f64 #s(literal 3 binary64) (neg.f64 (*.f64 z #s(literal 54 binary64)))))
(*.f64 (/.f64 (neg.f64 (*.f64 x (sqrt.f64 t))) y) (/.f64 #s(literal 1/18 binary64) (neg.f64 z)))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) (*.f64 y (*.f64 z #s(literal 54 binary64)))))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) #s(literal -1 binary64)) (/.f64 #s(literal -1/18 binary64) (*.f64 y z)))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (neg.f64 y)) (/.f64 #s(literal -3 binary64) (*.f64 z #s(literal 54 binary64))))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (neg.f64 y)) (/.f64 #s(literal -1/18 binary64) z))
(*.f64 (/.f64 #s(literal -3 binary64) (*.f64 z #s(literal 54 binary64))) (/.f64 (*.f64 x (sqrt.f64 t)) (neg.f64 y)))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y (neg.f64 z))) #s(literal -1/18 binary64))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (neg.f64 (*.f64 z #s(literal 54 binary64)))) (/.f64 #s(literal -3 binary64) y))
(*.f64 (/.f64 #s(literal -3 binary64) y) (/.f64 (*.f64 x (sqrt.f64 t)) (neg.f64 (*.f64 z #s(literal 54 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (neg.f64 (*.f64 z #s(literal 54 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (neg.f64 z)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z #s(literal 54 binary64))) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (neg.f64 y)))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) #s(literal 54 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 t)) (*.f64 y (*.f64 z #s(literal 54 binary64)))))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) (neg.f64 y)) (/.f64 (neg.f64 (sqrt.f64 t)) (*.f64 z #s(literal 54 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 y (neg.f64 z))) (/.f64 (neg.f64 (sqrt.f64 t)) #s(literal 54 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) (neg.f64 (*.f64 z #s(literal 54 binary64)))) (/.f64 (neg.f64 (sqrt.f64 t)) y))
(*.f64 (/.f64 (neg.f64 (*.f64 x (sqrt.f64 t))) (*.f64 y z)) #s(literal -1/18 binary64))
(*.f64 (/.f64 (neg.f64 (*.f64 x (sqrt.f64 t))) #s(literal -1 binary64)) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(*.f64 (/.f64 (neg.f64 (*.f64 x (sqrt.f64 t))) #s(literal -1 binary64)) (/.f64 #s(literal 3 binary64) (*.f64 y (*.f64 z #s(literal 54 binary64)))))
(*.f64 (/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) x)) y) (/.f64 (sqrt.f64 t) (neg.f64 (*.f64 z #s(literal 54 binary64)))))
(*.f64 (/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) x)) (*.f64 y z)) (/.f64 (sqrt.f64 t) #s(literal -54 binary64)))
(*.f64 (/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) x)) (*.f64 z #s(literal 54 binary64))) (/.f64 (sqrt.f64 t) (neg.f64 y)))
(*.f64 (/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y (*.f64 z #s(literal 54 binary64)))))
(*.f64 (/.f64 #s(literal -3 binary64) (*.f64 y z)) (/.f64 (*.f64 x (sqrt.f64 t)) #s(literal -54 binary64)))
(*.f64 (/.f64 #s(literal 1/18 binary64) (neg.f64 y)) (/.f64 (neg.f64 (*.f64 x (sqrt.f64 t))) z))
(*.f64 (/.f64 (neg.f64 (*.f64 x (sqrt.f64 t))) z) (/.f64 #s(literal 1/18 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1/18 binary64) (neg.f64 z)) (/.f64 (neg.f64 (*.f64 x (sqrt.f64 t))) y))
(*.f64 (/.f64 #s(literal -1/18 binary64) z) (/.f64 (*.f64 x (sqrt.f64 t)) (neg.f64 y)))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (neg.f64 z)) (/.f64 #s(literal -1/18 binary64) y))
(*.f64 (/.f64 #s(literal -1/18 binary64) y) (/.f64 (*.f64 x (sqrt.f64 t)) (neg.f64 z)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (neg.f64 y)))
(*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 t)) (*.f64 y z)))
(*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (neg.f64 y)) (/.f64 (neg.f64 (sqrt.f64 t)) z))
(*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (neg.f64 z)) (/.f64 (neg.f64 (sqrt.f64 t)) y))
(*.f64 (/.f64 (neg.f64 (*.f64 x #s(literal 1/18 binary64))) y) (/.f64 (sqrt.f64 t) (neg.f64 z)))
(*.f64 (/.f64 (sqrt.f64 t) (neg.f64 z)) (/.f64 (*.f64 (/.f64 x y) #s(literal -1/9 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (neg.f64 (*.f64 x #s(literal 1/18 binary64))) z) (/.f64 (sqrt.f64 t) (neg.f64 y)))
(*.f64 (/.f64 (neg.f64 (*.f64 x #s(literal 1/18 binary64))) #s(literal -1 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (/.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 54 binary64)) (/.f64 (*.f64 x (sqrt.f64 t)) z))
(*.f64 (/.f64 (/.f64 #s(literal 3 binary64) y) z) (*.f64 (*.f64 x (sqrt.f64 t)) #s(literal 1/54 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) z) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 54 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) z) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 54 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) z) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 54 binary64) y)))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y #s(literal 54 binary64))) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) z) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 y x) #s(literal 9 binary64)))))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (*.f64 (/.f64 y x) #s(literal 9 binary64)))))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 (/.f64 y x) #s(literal 9 binary64))))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z #s(literal 1/3 binary64))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 y #s(literal 27 binary64)) x))))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 y #s(literal 27 binary64)) x))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z #s(literal 1/3 binary64))))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 27 binary64)) x))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2/3 binary64)))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2/3 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 27 binary64)) x))))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 #s(literal 2/3 binary64) (/.f64 z x))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 y #s(literal 27 binary64))))
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 y #s(literal 27 binary64)) x))) (/.f64 #s(literal 3 binary64) z))
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 (*.f64 y #s(literal 27 binary64)) x))) #s(literal 3/2 binary64))
(*.f64 (/.f64 (sqrt.f64 t) #s(literal 2/3 binary64)) (/.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) z))
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal 2/3 binary64) (/.f64 z x))) (/.f64 #s(literal 1/27 binary64) y))
(*.f64 (/.f64 (sqrt.f64 t) #s(literal -1 binary64)) (*.f64 (/.f64 x (*.f64 y z)) #s(literal -1/18 binary64)))
(*.f64 (/.f64 (sqrt.f64 t) #s(literal -2 binary64)) (/.f64 (*.f64 (/.f64 x y) #s(literal -1/9 binary64)) z))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (/.f64 z x))) (/.f64 (sqrt.f64 t) (*.f64 y #s(literal 27 binary64))))
(*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/9 binary64)) z) (/.f64 (sqrt.f64 t) #s(literal -2 binary64)))
(*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/9 binary64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 t) (neg.f64 z)))
(*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/9 binary64)) #s(literal -1 binary64)) (/.f64 (sqrt.f64 t) (*.f64 z #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 (*.f64 y z) (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 y z) (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal -1/2 binary64)))

eval866.0ms (2.9%)

Memory
-93.0MiB live, 1 172.1MiB allocated
Compiler

Compiled 77 653 to 6 666 computations (91.4% saved)

prune703.0ms (2.3%)

Memory
0.5MiB live, 1 111.6MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New3 79043 794
Fresh202
Picked505
Done000
Total3 79743 801
Accuracy
100.0%
Counts
3 801 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64)))
97.0%
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64)))
98.0%
(*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 1/3 binary64))
98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t))))
Compiler

Compiled 88 to 67 computations (23.9% saved)

simplify190.0ms (0.6%)

Memory
9.0MiB live, 118.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64))
cost-diff128
(*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64))
cost-diff320
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))
cost-diff320
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64)))
cost-diff0
(asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
cost-diff0
(*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64))
cost-diff0
(PI.f64)
cost-diff0
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64)))
cost-diff0
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)))
cost-diff0
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))
cost-diff0
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t)))
cost-diff0
(*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 1/3 binary64))
cost-diff0
(*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t))
cost-diff0
(acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t)))
cost-diff0
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t))))
cost-diff384
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y)
Rules
2 836×lower-*.f32
2 802×lower-*.f64
1 088×lower-fma.f32
1 084×lower-fma.f64
1 038×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053387
089379
1162366
2384358
3949358
42091358
53256358
63446358
73699358
83981358
94103358
104610358
114693358
124707358
134724358
144733358
154735358
164735358
174765358
04765357
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t))))
#s(literal 1/3 binary64)
(acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t)))
(*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t))
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y)
(/.f64 (*.f64 x #s(literal 1/18 binary64)) z)
(*.f64 x #s(literal 1/18 binary64))
x
#s(literal 1/18 binary64)
z
y
(sqrt.f64 t)
t
(*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t)))
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)))
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))
(*.f64 x #s(literal 1/18 binary64))
x
#s(literal 1/18 binary64)
(*.f64 y z)
y
z
(sqrt.f64 t)
t
#s(literal 1/3 binary64)
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64)))
(PI.f64)
#s(literal 1/6 binary64)
(*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64))
(asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
x
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
(sqrt.f64 t)
t
#s(literal 1/18 binary64)
(*.f64 y z)
y
z
#s(literal -1/3 binary64)
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (sqrt.f64 (PI.f64)))
(PI.f64)
(sqrt.f64 (PI.f64))
(sqrt.f64 (sqrt.f64 (PI.f64)))
#s(literal 1/2 binary64)
#s(literal 1/3 binary64)
(*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64))
(neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))))
(asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t)))
#s(literal 3 binary64)
(*.f64 x (sqrt.f64 t))
x
(sqrt.f64 t)
t
(*.f64 y (*.f64 z #s(literal 54 binary64)))
y
(*.f64 z #s(literal 54 binary64))
z
#s(literal 54 binary64)
Outputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))
#s(literal 1/3 binary64)
(acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t)))
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)))
(*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y)
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))
(/.f64 (*.f64 x #s(literal 1/18 binary64)) z)
(*.f64 x (/.f64 #s(literal 1/18 binary64) z))
(*.f64 x #s(literal 1/18 binary64))
x
#s(literal 1/18 binary64)
z
y
(sqrt.f64 t)
t
(*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t)))
(acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))))
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))
(*.f64 x #s(literal 1/18 binary64))
x
#s(literal 1/18 binary64)
(*.f64 y z)
(*.f64 z y)
y
z
(sqrt.f64 t)
t
#s(literal 1/3 binary64)
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64)))
(fma.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(PI.f64)
#s(literal 1/6 binary64)
(*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))
(asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
(asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)))
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
x
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(sqrt.f64 t)
t
#s(literal 1/18 binary64)
(*.f64 y z)
(*.f64 z y)
y
z
#s(literal -1/3 binary64)
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (sqrt.f64 (PI.f64)))
(PI.f64)
(sqrt.f64 (PI.f64))
(sqrt.f64 (sqrt.f64 (PI.f64)))
#s(literal 1/2 binary64)
#s(literal 1/3 binary64)
(*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))
(neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))))
(neg.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))
(asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))
(asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)))
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))
(*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t)))
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64)))
#s(literal 3 binary64)
(*.f64 x (sqrt.f64 t))
x
(sqrt.f64 t)
t
(*.f64 y (*.f64 z #s(literal 54 binary64)))
(*.f64 z (*.f64 y #s(literal 54 binary64)))
y
(*.f64 z #s(literal 54 binary64))
z
#s(literal 54 binary64)

localize191.0ms (0.6%)

Memory
-42.9MiB live, 296.0MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.96484375
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64)))
accuracy1.0
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy7.422854746295888
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))
accuracy0.2421875
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
accuracy0.33984375
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
accuracy0.96484375
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64)))
accuracy7.521900311953724
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
accuracy0.33203125
(*.f64 x #s(literal 1/18 binary64))
accuracy0.96875
(*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 1/3 binary64))
accuracy3.105644647744302
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))
accuracy6.198893877080558
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))
accuracy0.33203125
(*.f64 x #s(literal 1/18 binary64))
accuracy0.96875
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t))))
accuracy3.105644647744302
(*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t))
accuracy5.254065385274179
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y)
Samples
108.0ms256×0valid
Compiler

Compiled 359 to 56 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-mult: 37.0ms (46.6% of total)
const: 12.0ms (15.1% of total)
ival-div: 11.0ms (13.9% of total)
ival-sqrt: 6.0ms (7.6% of total)
ival-acos: 4.0ms (5% of total)
ival-asin: 3.0ms (3.8% of total)
ival-add: 2.0ms (2.5% of total)
ival-pi: 1.0ms (1.3% of total)
exact: 1.0ms (1.3% of total)
ival-neg: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series59.0ms (0.2%)

Memory
5.9MiB live, 49.1MiB allocated
Counts
23 → 780
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (patch (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t)))) (patch (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t)))) #<representation binary64>) () ())
#s(alt (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t))) (patch (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t)) (patch (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t)) #<representation binary64>) () ())
#s(alt (*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) (patch (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t)) (patch (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (patch #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) #<representation binary64>) () ())
#s(alt (fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64))) (patch (fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64)) (patch (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64)) #<representation binary64>) () ())
#s(alt (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) (patch (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64))) (patch (fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64)) (patch (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 1/18 binary64)) (patch (*.f64 x #s(literal 1/18 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (patch (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)) (patch (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (patch (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (patch (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (patch (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())
Outputs
#s(alt (* 1/18 (/ x (* y z))) (taylor 0 x) (#s(alt (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (patch (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor 0 x) (#s(alt (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (patch (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor 0 x) (#s(alt (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (patch (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) #<representation binary64>) () ())) ())
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#s(alt (* 1/18 (* (sqrt t) x)) (taylor 0 t) (#s(alt (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (patch (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) x)) (taylor 0 t) (#s(alt (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (patch (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) x)) (taylor 0 t) (#s(alt (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (patch (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) x)) (taylor 0 t) (#s(alt (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (patch (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) x)) (taylor inf t) (#s(alt (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (patch (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) x)) (taylor inf t) (#s(alt (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (patch (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) x)) (taylor inf t) (#s(alt (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (patch (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) x)) (taylor inf t) (#s(alt (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (patch (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2)))) (taylor -inf t) (#s(alt (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (patch (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2)))) (taylor -inf t) (#s(alt (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (patch (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2)))) (taylor -inf t) (#s(alt (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (patch (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2)))) (taylor -inf t) (#s(alt (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (patch (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ())
Calls

195 calls:

TimeVariablePointExpression
0.0ms
t
@-inf
(* (sqrt t) 1/18)
0.0ms
x
@-inf
(* x 1/18)
0.0ms
x
@inf
(* x 1/18)
0.0ms
x
@0
(* x 1/18)
0.0ms
t
@0
(* (sqrt t) 1/18)

simplify680.0ms (2.3%)

Memory
38.6MiB live, 264.6MiB allocated
Algorithm
egg-herbie
Rules
4 002×lower-*.f64
4 002×lower-*.f32
3 084×lower-fma.f64
3 084×lower-fma.f32
2 428×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0448796
1878688
22338616
39518616
421388616
538878616
651338616
773648616
080108520
Stop Event
iter limit
node limit
Counts
780 → 780
Calls
Call 1
Inputs
(* 1/18 (/ x (* y z)))
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(* 1/18 (/ x (* y z)))
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(* 1/18 (/ x (* y z)))
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(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
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(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (sqrt t))
(* 1/18 (sqrt t))
(* 1/18 (sqrt t))
(* 1/18 (sqrt t))
(* 1/18 (sqrt t))
(* 1/18 (sqrt t))
(* 1/18 (sqrt t))
(* 1/18 (sqrt t))
(* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))
(* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))
(* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))
(* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))
Outputs
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))
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(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))

rewrite7.5s (24.8%)

Memory
-12.9MiB live, 546.5MiB allocated
Rules
5 324×lower-*.f32
5 290×lower-*.f64
4 560×lower-/.f32
4 550×lower-/.f64
2 414×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053280
089247
1262232
21636224
08492224
Stop Event
iter limit
node limit
iter limit
Counts
23 → 1 787
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y)
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t))))
(acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t)))
(*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t))
(*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t)))
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64)))
(PI.f64)
(*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64))
(asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64)))
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))
(*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64))
(*.f64 x #s(literal 1/18 binary64))
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(sqrt.f64 (PI.f64))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 z y) #s(literal 18 binary64)) x)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z (neg.f64 y))) (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))))
(neg.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) (*.f64 z y)))
(neg.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))))
(/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 y x) z))
(/.f64 #s(literal 1/18 binary64) (*.f64 z (/.f64 y x)))
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y)
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 z y) #s(literal 18 binary64)) x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 x #s(literal 1/18 binary64))) y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 x #s(literal 1/18 binary64))) (*.f64 y #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 z (*.f64 x #s(literal 1/18 binary64)))) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (neg.f64 (/.f64 z (*.f64 x #s(literal 1/18 binary64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 (*.f64 z y) #s(literal 18 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 z (*.f64 x #s(literal 1/18 binary64))) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 x #s(literal 1/18 binary64))) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) (*.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (neg.f64 y)) (*.f64 (*.f64 x #s(literal -1/18 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 x y) #s(literal 1/18 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (*.f64 (*.f64 x #s(literal -1/18 binary64)) (/.f64 #s(literal 1 binary64) y))))
(/.f64 (*.f64 x #s(literal -1/18 binary64)) (*.f64 z (neg.f64 y)))
(/.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (neg.f64 y))
(/.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x #s(literal 1/18 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 z y) #s(literal 18 binary64)) x)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 z (*.f64 x #s(literal 1/18 binary64)))) y))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z (*.f64 x #s(literal 1/18 binary64))) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 z (*.f64 x #s(literal 1/18 binary64)))) (*.f64 y #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 y (neg.f64 (/.f64 z (*.f64 x #s(literal 1/18 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y #s(literal 1 binary64)) (neg.f64 (/.f64 z (*.f64 x #s(literal 1/18 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 z (*.f64 x #s(literal 1/18 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y (*.f64 x #s(literal 1/18 binary64))) (neg.f64 z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 z (*.f64 x #s(literal 1/18 binary64))) y)))
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) y) z)
(/.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64)) (*.f64 z y))
(/.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 z) (neg.f64 y)))
(/.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64)) (*.f64 z (*.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 z #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) #s(literal 1 binary64)) (*.f64 z (neg.f64 y)))
(/.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 z) (*.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 z #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 x #s(literal -1/18 binary64))) (neg.f64 (*.f64 z (neg.f64 y))))
(/.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 y x) (neg.f64 z)))
(/.f64 #s(literal -1/18 binary64) (*.f64 (neg.f64 z) (/.f64 y x)))
(/.f64 (neg.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) y)) (neg.f64 z))
(/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 y (*.f64 z #s(literal 18 binary64))))
(/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) #s(literal 1 binary64)) y)
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) z)
(/.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 z #s(literal 18 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 z #s(literal 18 binary64)) y))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (*.f64 z #s(literal 18 binary64)) (neg.f64 y)))
(/.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal -1 binary64)) (*.f64 z (neg.f64 y)))
(/.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 y) (neg.f64 z)))
(/.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 z) (neg.f64 y)))
(/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 z y))
(/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 z (*.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 z (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (*.f64 x #s(literal -1/18 binary64))) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 z)) y))
(/.f64 (*.f64 (neg.f64 (*.f64 x #s(literal -1/18 binary64))) #s(literal 1 binary64)) (*.f64 (neg.f64 z) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (*.f64 x #s(literal -1/18 binary64))) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 z)) (*.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 (*.f64 x #s(literal -1/18 binary64))) #s(literal -1 binary64)) (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 x) #s(literal -1/18 binary64)) (*.f64 (neg.f64 y) (neg.f64 z)))
(/.f64 (*.f64 #s(literal -1/18 binary64) (neg.f64 x)) (*.f64 (neg.f64 z) (neg.f64 y)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/18 binary64))) (*.f64 z y))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/18 binary64))) (*.f64 (*.f64 y #s(literal 1 binary64)) z))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/18 binary64))) (*.f64 z (neg.f64 y)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/18 binary64))) (*.f64 (*.f64 y #s(literal 1 binary64)) (neg.f64 z)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64))) (*.f64 z y))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 y #s(literal 1 binary64)) z))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x #s(literal -1/18 binary64)))) (*.f64 y (neg.f64 (neg.f64 z))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x #s(literal -1/18 binary64)))) (*.f64 (*.f64 y #s(literal 1 binary64)) (neg.f64 (neg.f64 z))))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/18 binary64))) (*.f64 (neg.f64 y) (neg.f64 z)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64))) (*.f64 z (neg.f64 y)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal -1/18 binary64)))) (*.f64 (neg.f64 y) (neg.f64 (neg.f64 z))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 z (*.f64 x #s(literal 1/18 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64))) (*.f64 z (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 (*.f64 x #s(literal -1/18 binary64)))) (neg.f64 (neg.f64 (*.f64 z (neg.f64 y)))))
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 z (neg.f64 y))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) y))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64))) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) (/.f64 #s(literal 1 binary64) y))) (neg.f64 (neg.f64 z)))
(pow.f64 (/.f64 (*.f64 (*.f64 z y) #s(literal 18 binary64)) x) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 z (*.f64 x #s(literal 1/18 binary64))) y) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y)))
(*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))
(*.f64 (*.f64 x #s(literal -1/18 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z (neg.f64 y))))
(*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (*.f64 x #s(literal 1/18 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/18 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x #s(literal 1/18 binary64)) y))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/18 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 z y) #s(literal 18 binary64)) x))))
(*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) x)
(*.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(*.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z (neg.f64 y))))
(*.f64 (neg.f64 (*.f64 x #s(literal -1/18 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(*.f64 #s(literal -1/18 binary64) (/.f64 (neg.f64 x) (*.f64 z y)))
(*.f64 (neg.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) y)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))
(*.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (pow.f64 (/.f64 z x) #s(literal -1 binary64)) (pow.f64 (*.f64 y #s(literal 18 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 y #s(literal 18 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 z x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 y (*.f64 x #s(literal -1/18 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal -1/18 binary64) z))
(*.f64 (/.f64 x (neg.f64 z)) (/.f64 #s(literal -1/18 binary64) y))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1/18 binary64) (*.f64 z y)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (/.f64 #s(literal 1/18 binary64) z)) y))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal 1/18 binary64) (neg.f64 z)))
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal 1/18 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal -1/18 binary64) y) (/.f64 x (neg.f64 z)))
(*.f64 (/.f64 #s(literal -1/18 binary64) z) (/.f64 x (neg.f64 y)))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (neg.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x #s(literal -1/18 binary64)) z))
(*.f64 (/.f64 #s(literal 1/18 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 #s(literal 1/18 binary64) (neg.f64 z)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) y) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) y))
(+.f64 (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))) #s(literal -1/3 binary64)) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
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(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (PI.f64)))))
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/3 binary64)))
(exp.f64 (fma.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64))))
(fabs.f64 (PI.f64))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))

eval447.0ms (1.5%)

Memory
34.4MiB live, 728.9MiB allocated
Compiler

Compiled 63 453 to 6 319 computations (90% saved)

prune777.0ms (2.6%)

Memory
-26.2MiB live, 956.1MiB allocated
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New2 74032 743
Fresh000
Picked134
Done000
Total2 74162 747
Accuracy
100.0%
Counts
2 747 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y))) #s(literal 1/3 binary64)))
98.4%
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))) #s(literal -1/3 binary64)))
97.0%
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64)))
99.5%
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64))
98.0%
(*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 1/3 binary64))
98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t))))
Compiler

Compiled 144 to 108 computations (25% saved)

simplify292.0ms (1%)

Memory
-2.9MiB live, 419.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64))
cost-diff128
(*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y))) #s(literal 1/3 binary64))
cost-diff320
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y))) #s(literal 1/3 binary64)))
cost-diff384
(/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y)
cost-diff0
(PI.f64)
cost-diff128
(*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))) #s(literal -1/3 binary64))
cost-diff768
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))) #s(literal -1/3 binary64)))
cost-diff1600
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)))))
cost-diff0
(sqrt.f64 (sqrt.f64 (PI.f64)))
cost-diff0
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))
cost-diff0
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))))))
cost-diff128
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64))
Rules
17 986×lower-fma.f32
17 978×lower-fma.f64
3 642×lower-*.f32
3 612×lower-*.f64
1 334×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052465
090468
1165440
2339426
3717423
41331419
52753419
63569419
74547419
86552419
97913419
08022416
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64))
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))
(sqrt.f64 (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(PI.f64)
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (sqrt.f64 (PI.f64)))
(neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))
(asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))))
(*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))
(sqrt.f64 t)
t
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))
x
(/.f64 #s(literal 1/18 binary64) (*.f64 z y))
#s(literal 1/18 binary64)
(*.f64 z y)
z
y
#s(literal 1/3 binary64)
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))) #s(literal -1/3 binary64)))
(PI.f64)
#s(literal 1/6 binary64)
(*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))) #s(literal -1/3 binary64))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)))))
(sqrt.f64 (PI.f64))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
x
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(*.f64 z y)
z
y
#s(literal -1/3 binary64)
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y))) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (sqrt.f64 (PI.f64)))
(PI.f64)
(sqrt.f64 (PI.f64))
(sqrt.f64 (sqrt.f64 (PI.f64)))
#s(literal 1/2 binary64)
#s(literal 1/3 binary64)
(*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y))) #s(literal 1/3 binary64))
(neg.f64 (asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y)))
(asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y))
(/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y)
(*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t))
(/.f64 (*.f64 x #s(literal 1/18 binary64)) z)
(*.f64 x #s(literal 1/18 binary64))
x
#s(literal 1/18 binary64)
z
(sqrt.f64 t)
t
y
Outputs
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64))
(fma.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/6 binary64))))
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))))))
(-.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))
(sqrt.f64 (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(PI.f64)
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (sqrt.f64 (PI.f64)))
(neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))
(neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))))
(asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))))
(asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))
(*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))
(sqrt.f64 t)
t
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
x
(/.f64 #s(literal 1/18 binary64) (*.f64 z y))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
#s(literal 1/18 binary64)
(*.f64 z y)
(*.f64 y z)
z
y
#s(literal 1/3 binary64)
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))) #s(literal -1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))
(PI.f64)
#s(literal 1/6 binary64)
(*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))) #s(literal -1/3 binary64))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) (*.f64 (PI.f64) #s(literal -1/6 binary64)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))
(sqrt.f64 (PI.f64))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))
(neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)))
(acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
x
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(*.f64 z y)
(*.f64 y z)
z
y
#s(literal -1/3 binary64)
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/6 binary64))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (sqrt.f64 (PI.f64)))
(PI.f64)
(sqrt.f64 (PI.f64))
(sqrt.f64 (sqrt.f64 (PI.f64)))
#s(literal 1/2 binary64)
#s(literal 1/3 binary64)
(*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y))) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))
(neg.f64 (asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y)))
(neg.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))
(asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y))
(asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
(/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y)
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z))
(/.f64 (*.f64 x #s(literal 1/18 binary64)) z)
(*.f64 x #s(literal 1/18 binary64))
x
#s(literal 1/18 binary64)
z
(sqrt.f64 t)
t
y

localize1.8s (6.1%)

Memory
18.2MiB live, 555.2MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy1.0
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy2.521544742295987
(*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t))
accuracy6.929263688478013
(/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y)
accuracy0.96484375
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))) #s(literal -1/3 binary64)))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy7.521900311953724
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))
accuracy59.43167113704145
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)))))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy1.1508916707312933
(/.f64 #s(literal 1/18 binary64) (*.f64 z y))
accuracy3.105644647744302
(*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))
accuracy5.565429804012838
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))
Samples
231.0ms138×2valid
142.0ms105×1valid
5.0ms13×0valid
Compiler

Compiled 426 to 57 computations (86.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 317.0ms
ival-mult: 97.0ms (30.6% of total)
ival-div: 75.0ms (23.6% of total)
ival-sqrt: 59.0ms (18.6% of total)
adjust: 23.0ms (7.3% of total)
const: 22.0ms (6.9% of total)
ival-acos: 11.0ms (3.5% of total)
ival-add: 11.0ms (3.5% of total)
ival-neg: 9.0ms (2.8% of total)
ival-asin: 7.0ms (2.2% of total)
ival-pi: 3.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series1.2s (4.1%)

Memory
-9.6MiB live, 70.1MiB allocated
Counts
19 → 576
Calls
Call 1
Inputs
#s(alt (*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64)) (patch (*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) (patch (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (patch (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (sqrt.f64 (PI.f64))) (patch (sqrt.f64 (sqrt.f64 (PI.f64))) #<representation binary64>) () ())
#s(alt (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))) (patch (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))) #<representation binary64>) () ())
#s(alt (fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))) #s(literal -1/3 binary64))) (patch (fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))) #s(literal -1/3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))) #s(literal -1/3 binary64)) (patch (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))) #s(literal -1/3 binary64)) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y) (patch (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y))) #s(literal 1/3 binary64))) (patch (fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y))) #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y))) #s(literal 1/3 binary64)) (patch (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))) (patch (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) (patch (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (patch (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) (patch (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (patch (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())
Outputs
#s(alt (* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (taylor 0 t) (#s(alt (*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64)) (patch (*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (taylor 0 t) (#s(alt (*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64)) (patch (*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (taylor 0 t) (#s(alt (*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64)) (patch (*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor 0 z) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor 0 z) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor 0 z) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor 0 z) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor inf z) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor inf z) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor inf z) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor inf z) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor -inf z) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor -inf z) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor -inf z) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor -inf z) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor inf t) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor inf t) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor inf t) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor inf t) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z))) (taylor -inf t) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z))) (taylor -inf t) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z))) (taylor -inf t) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z))) (taylor -inf t) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ())
Calls

144 calls:

TimeVariablePointExpression
17.0ms
t
@0
(* (+ (* (* (sqrt (sqrt (PI))) 1/2) (sqrt (* (PI) (sqrt (PI))))) (neg (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))))) 1/3)
1.0ms
t
@-inf
(* (/ (* x 1/18) z) (sqrt t))
1.0ms
x
@0
(* (/ (* x 1/18) z) (sqrt t))
1.0ms
x
@inf
(* (/ (* x 1/18) z) (sqrt t))
0.0ms
y
@inf
(/ 1/18 (* z y))

simplify212.0ms (0.7%)

Memory
5.0MiB live, 367.8MiB allocated
Algorithm
egg-herbie
Rules
4 924×lower-fma.f64
4 924×lower-fma.f32
3 534×lower-*.f64
3 534×lower-*.f32
2 468×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0537760
11127676
22917620
39097428
423327236
538857236
654877236
778477236
081647092
Stop Event
iter limit
node limit
Counts
576 → 576
Calls
Call 1
Inputs
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))
(+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/ 1/18 (* y z))
(/ 1/18 (* y z))
(/ 1/18 (* y z))
(/ 1/18 (* y z))
(/ 1/18 (* y z))
(/ 1/18 (* y z))
(/ 1/18 (* y z))
(/ 1/18 (* y z))
(/ 1/18 (* y z))
(/ 1/18 (* y z))
(/ 1/18 (* y z))
(/ 1/18 (* y z))
(/ 1/18 (* y z))
(/ 1/18 (* y z))
(/ 1/18 (* y z))
(/ 1/18 (* y z))
(/ 1/18 (* y z))
(/ 1/18 (* y z))
(/ 1/18 (* y z))
(/ 1/18 (* y z))
(/ 1/18 (* y z))
(/ 1/18 (* y z))
(/ 1/18 (* y z))
(/ 1/18 (* y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
Outputs
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z))

rewrite331.0ms (1.1%)

Memory
8.7MiB live, 560.4MiB allocated
Rules
8 556×lower-fma.f32
8 548×lower-fma.f64
4 768×lower-*.f32
4 738×lower-*.f64
4 104×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052270
090243
1282182
21975176
08202176
Stop Event
iter limit
node limit
iter limit
Counts
19 → 1 026
Calls
Call 1
Inputs
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64))
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))
(sqrt.f64 (sqrt.f64 (PI.f64)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)))))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))) #s(literal -1/3 binary64)))
(*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))) #s(literal -1/3 binary64))
(PI.f64)
(/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y)
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y))) #s(literal 1/3 binary64)))
(*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y))) #s(literal 1/3 binary64))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))
(*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))
(/.f64 #s(literal 1/18 binary64) (*.f64 z y))
(sqrt.f64 (PI.f64))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))
(*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
Outputs
(+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64))))))))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))) #s(literal 1/3 binary64)))
(+.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64))))))))) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(+.f64 (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))) #s(literal 1/3 binary64)) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64))))))))))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))) #s(literal 1/3 binary64)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64))))))))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/6 binary64)) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))) #s(literal 1/3 binary64)))
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64))))))))))
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/6 binary64)) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))) #s(literal 1/3 binary64)))
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) #s(literal 1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64))))))))))
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64))))))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/3 binary64)) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64))))))))))
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))) #s(literal 1/3 binary64)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64))))))))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/6 binary64)) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))) #s(literal 1/3 binary64)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64))))))))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))) #s(literal 1/3 binary64)))
(fma.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64))))))))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/6 binary64) (PI.f64) (*.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64))))))))))
(fma.f64 #s(literal 1/6 binary64) (PI.f64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64))))))))))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64))))))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))) #s(literal 1/3 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64))))))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/6 binary64)) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64))))))))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (*.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64))))))))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))) #s(literal 1/3 binary64)))
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(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))

eval716.0ms (2.4%)

Memory
-14.4MiB live, 504.5MiB allocated
Compiler

Compiled 66 033 to 5 877 computations (91.1% saved)

prune502.0ms (1.7%)

Memory
22.4MiB live, 415.3MiB allocated
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New2 10932 112
Fresh000
Picked303
Done033
Total2 11262 118
Accuracy
100.0%
Counts
2 118 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 (/.f64 x z) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) y)))) #s(literal -1/3 binary64)))
99.5%
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y (*.f64 z #s(literal 18 binary64)))) x)))) #s(literal -1/3 binary64)))
97.0%
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64)))
98.0%
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))))
98.0%
(*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 1/3 binary64))
98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t))))
Compiler

Compiled 557 to 242 computations (56.6% saved)

regimes357.0ms (1.2%)

Memory
-1.1MiB live, 119.4MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))))
(*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t))))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y (*.f64 z #s(literal 18 binary64)))) x)))) #s(literal -1/3 binary64)))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))) #s(literal -1/3 binary64)))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 (/.f64 x z) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) y)))) #s(literal -1/3 binary64)))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
Outputs
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y))) #s(literal 1/3 binary64)))
Calls

13 calls:

103.0ms
(sqrt.f64 t)
100.0ms
t
99.0ms
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
6.0ms
x
6.0ms
(*.f64 z #s(literal 2 binary64))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1t
100.0%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
100.0%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
100.0%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
100.0%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
100.0%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
100.0%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
100.0%1(*.f64 y #s(literal 27 binary64))
100.0%1(*.f64 z #s(literal 2 binary64))
100.0%1(sqrt.f64 t)
Compiler

Compiled 135 to 108 computations (20% saved)

regimes357.0ms (1.2%)

Memory
-50.0MiB live, 85.1MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))))
(*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t))))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y (*.f64 z #s(literal 18 binary64)))) x)))) #s(literal -1/3 binary64)))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))) #s(literal -1/3 binary64)))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 (/.f64 x z) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) y)))) #s(literal -1/3 binary64)))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64)))
Outputs
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 (/.f64 x z) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) y)))) #s(literal -1/3 binary64)))
Calls

13 calls:

109.0ms
(sqrt.f64 t)
94.0ms
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
5.0ms
z
5.0ms
(*.f64 z #s(literal 2 binary64))
5.0ms
(*.f64 y #s(literal 27 binary64))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1t
100.0%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
100.0%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
100.0%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
100.0%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
100.0%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
100.0%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
100.0%1(*.f64 y #s(literal 27 binary64))
100.0%1(*.f64 z #s(literal 2 binary64))
100.0%1(sqrt.f64 t)
Compiler

Compiled 135 to 108 computations (20% saved)

regimes88.0ms (0.3%)

Memory
22.9MiB live, 101.3MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))))
(*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t))))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y (*.f64 z #s(literal 18 binary64)))) x)))) #s(literal -1/3 binary64)))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))) #s(literal -1/3 binary64)))
Outputs
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y (*.f64 z #s(literal 18 binary64)))) x)))) #s(literal -1/3 binary64)))
Calls

13 calls:

29.0ms
z
17.0ms
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
4.0ms
(*.f64 z #s(literal 2 binary64))
4.0ms
y
4.0ms
(*.f64 y #s(literal 27 binary64))
Results
AccuracySegmentsBranch
99.5%1x
99.5%1y
99.5%1z
99.5%1t
99.5%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
99.5%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
99.5%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
99.5%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
99.5%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
99.5%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
99.5%1(*.f64 y #s(literal 27 binary64))
99.5%1(*.f64 z #s(literal 2 binary64))
99.5%1(sqrt.f64 t)
Compiler

Compiled 135 to 108 computations (20% saved)

regimes48.0ms (0.2%)

Memory
14.1MiB live, 132.3MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))))
(*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t))))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
Outputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t))))
Calls

13 calls:

6.0ms
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
4.0ms
z
3.0ms
(*.f64 y #s(literal 27 binary64))
3.0ms
(*.f64 z #s(literal 2 binary64))
3.0ms
t
Results
AccuracySegmentsBranch
98.5%1x
98.5%1y
98.5%1z
98.5%1t
98.5%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
98.5%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
98.5%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
98.5%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
98.5%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
98.5%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
98.5%1(*.f64 y #s(literal 27 binary64))
98.5%1(*.f64 z #s(literal 2 binary64))
98.5%1(sqrt.f64 t)
Compiler

Compiled 135 to 108 computations (20% saved)

regimes22.0ms (0.1%)

Memory
-25.9MiB live, 51.9MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))))
(*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 1/3 binary64))
Outputs
(*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 1/3 binary64))
Calls

13 calls:

3.0ms
y
2.0ms
(*.f64 z #s(literal 2 binary64))
2.0ms
(/.f64 x (*.f64 y #s(literal 27 binary64)))
2.0ms
(*.f64 y #s(literal 27 binary64))
2.0ms
(sqrt.f64 t)
Results
AccuracySegmentsBranch
98.0%1x
98.0%1y
98.0%1z
98.0%1t
98.0%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
98.0%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
98.0%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
98.0%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
98.0%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
98.0%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
98.0%1(*.f64 y #s(literal 27 binary64))
98.0%1(*.f64 z #s(literal 2 binary64))
98.0%1(sqrt.f64 t)
Compiler

Compiled 135 to 108 computations (20% saved)

regimes19.0ms (0.1%)

Memory
2.9MiB live, 44.1MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))))
Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))))
Calls

13 calls:

4.0ms
z
1.0ms
(*.f64 y #s(literal 27 binary64))
1.0ms
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
1.0ms
(*.f64 z #s(literal 2 binary64))
1.0ms
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
Results
AccuracySegmentsBranch
96.9%1x
96.9%1y
96.9%1z
96.9%1t
96.9%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
96.9%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
96.9%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
96.9%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
96.9%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
96.9%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
96.9%1(*.f64 y #s(literal 27 binary64))
96.9%1(*.f64 z #s(literal 2 binary64))
96.9%1(sqrt.f64 t)
Compiler

Compiled 135 to 108 computations (20% saved)

simplify10.0ms (0%)

Memory
25.4MiB live, 25.4MiB allocated
Algorithm
egg-herbie
Rules
56×*-commutative_binary64
10×+-commutative_binary64
10×sub-neg_binary64
10×neg-sub0_binary64
10×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075144
1109144
2121144
3130144
4133144
5134144
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y))) #s(literal 1/3 binary64)))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 (/.f64 x z) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) y)))) #s(literal -1/3 binary64)))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y (*.f64 z #s(literal 18 binary64)))) x)))) #s(literal -1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t))))
(*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 1/3 binary64))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))))
Outputs
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y))) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y)) (neg.f64 #s(literal 1/3 binary64))))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 (/.f64 x z) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) y)))) #s(literal -1/3 binary64)))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 (/.f64 x z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) y)))) #s(literal -1/3 binary64)))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y (*.f64 z #s(literal 18 binary64)))) x)))) #s(literal -1/3 binary64)))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y (*.f64 z #s(literal 18 binary64))))))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y))))
(*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 z y)))))

soundness3.8s (12.7%)

Memory
-2.9MiB live, 912.5MiB allocated
Rules
8 556×lower-fma.f32
8 548×lower-fma.f64
5 832×lower-*.f32
5 822×lower-*.f64
5 324×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052270
090243
1282182
21975176
08202176
053280
089247
1262232
21636224
08492224
0311616
1661604
21971596
37251596
425601596
544521596
662331596
080921596
01855
02955
16947
238741
3374241
0821441
064338
0103322
1259294
21450273
08342273
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 595 to 333 computations (44% saved)

preprocess185.0ms (0.6%)

Memory
-3.2MiB live, 196.7MiB allocated
Remove

(sort y z)

Compiler

Compiled 762 to 508 computations (33.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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