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

Time bar (total: 26.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze349.0ms (1.3%)

Memory
-18.8MiB live, 746.3MiB allocated
Algorithm
1×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)

sample5.2s (19.3%)

Memory
-82.8MiB live, 6 035.8MiB allocated
Samples
2.5s15 545×0invalid
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.5s
ival-mult: 1.5s (59.9% of total)
ival-div: 582.0ms (23.6% of total)
ival-sqrt: 179.0ms (7.3% of total)
ival-acos: 156.0ms (6.3% of total)
exact: 44.0ms (1.8% of total)
ival-true: 19.0ms (0.8% of total)
ival-assert: 9.0ms (0.4% of total)
Bogosity

explain198.0ms (0.7%)

Memory
40.3MiB live, 349.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
200-2(-4.39422986901431e-231 4.757516561696628e+78 2.7842455077372364e-279 4.070863536830183e-305)(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
150-3(5.637923208001377e-229 -31490224412.487366 1.7468675526411886e+81 1.616587579393439e+229)(*.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/n180
↳(/.f64 x (*.f64 y #s(literal 27 binary64)))underflow53
↳(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))underflow53
*.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*u120
Confusion
Predicted +Predicted -
+10
-29226
Precision
0.03333333333333333
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-290226
Precision?
0.03333333333333333
Recall?
1.0
Freqs
test
numberfreq
0226
130
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
64.0ms512×0valid
Compiler

Compiled 203 to 58 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 14.0ms (40.2% of total)
ival-div: 11.0ms (31.6% of total)
ival-acos: 5.0ms (14.4% of total)
ival-sqrt: 4.0ms (11.5% of total)
exact: 1.0ms (2.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess133.0ms (0.5%)

Memory
-13.4MiB live, 141.4MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×iter limit
1×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 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (/.f64 (sqrt.f64 t) y) z))) #s(literal 1/3 binary64))
Symmetry

(sort y z)

Compiler

Compiled 19 to 18 computations (5.3% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.5%
(*.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 19 to 18 computations (5.3% saved)

simplify85.0ms (0.3%)

Memory
7.6MiB live, 85.6MiB allocated
Algorithm
1×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-diff320
(/.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
1×iter limit
1×saturated
1×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 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (/.f64 (sqrt.f64 t) y) z))) #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 (/.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 #s(literal 1/18 binary64) x) (/.f64 (/.f64 (sqrt.f64 t) 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 #s(literal 1/18 binary64) x) (/.f64 (/.f64 (sqrt.f64 t) y) z))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
(*.f64 (/.f64 #s(literal 1/9 binary64) y) x)
(/.f64 x (*.f64 y #s(literal 27 binary64)))
(/.f64 x (*.f64 #s(literal 27 binary64) y))
x
(*.f64 y #s(literal 27 binary64))
(*.f64 #s(literal 27 binary64) y)
y
#s(literal 27 binary64)
(*.f64 z #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) z)
z
#s(literal 2 binary64)
(sqrt.f64 t)
t

localize48.0ms (0.2%)

Memory
18.6MiB live, 91.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.23828125
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
accuracy0.9609375
(*.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))))
accuracy2.969987671792255
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
accuracy4.10226468599413
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
Samples
39.0ms256×0valid
Compiler

Compiled 92 to 20 computations (78.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 9.0ms (46.5% of total)
ival-div: 5.0ms (25.8% of total)
ival-sqrt: 2.0ms (10.3% of total)
ival-acos: 2.0ms (10.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series41.0ms (0.2%)

Memory
-11.0MiB live, 69.5MiB allocated
Counts
5 → 156
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>) () ())
Outputs
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#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 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#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 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#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 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#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 (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 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 (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 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 (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 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 (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 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 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor inf t) (#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 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor inf t) (#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 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor inf t) (#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 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor inf t) (#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>) () ())) ())
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Calls

12 calls:

TimeVariablePointExpression
12.0ms
x
@inf
((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
5.0ms
t
@inf
((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
3.0ms
y
@0
((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
3.0ms
t
@-inf
((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
2.0ms
x
@-inf
((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))

simplify112.0ms (0.4%)

Memory
18.4MiB live, 170.7MiB allocated
Algorithm
1×egg-herbie
Rules
4 146×lower-*.f64
4 146×lower-*.f32
3 464×lower-/.f32
3 464×lower-/.f64
1 210×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0291496
1611484
21901476
37191476
425471476
544301476
662031476
080641476
Stop Event
1×iter limit
1×node limit
Counts
156 → 156
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))))))
(* 1/18 (* (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))))
(* 1/3 (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))))))
(* 1/18 (* (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))))
(* 1/3 (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 (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 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ 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))))))
(* 1/18 (* (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 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ 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))))))
(* 1/18 (* (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 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ 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))))))
(* 1/18 (* (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 (/ 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))
(* 1/3 (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))))))
(* 1/18 (* (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 (/ 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))
(* 1/3 (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))))))
(* 1/18 (* (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 (/ 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))
(* 1/3 (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))))))
(* 1/18 (* (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 (/ 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))
(* 1/3 (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))))))
(* 1/18 (* (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 (/ 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))
(* 1/3 (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))))))
(* 1/18 (* (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 (/ 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))
(* 1/3 (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))))))
(* 1/18 (* (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))))
Outputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64))) #s(literal 1/3 binary64))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/9 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(* 1/9 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(* 1/9 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(* 1/9 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/9 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(* 1/9 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(* 1/9 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(* 1/9 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/9 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(* 1/9 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(* 1/9 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(* 1/9 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/9 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(* 1/9 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(* 1/9 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(* 1/9 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/9 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(* 1/9 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(* 1/9 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(* 1/9 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/9 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(* 1/9 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(* 1/9 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(* 1/9 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))

rewrite235.0ms (0.9%)

Memory
10.0MiB live, 244.8MiB 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
01850
02950
16942
238736
3374236
0821436
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 518
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))
Outputs
#s(literal 1/3 binary64)
(*.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) (*.f64 x #s(literal 1/27 binary64))) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) (/.f64 (neg.f64 x) y)) #s(literal -1 binary64)) #s(literal -1/27 binary64))
(*.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/27 binary64) (/.f64 x y)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1/27 binary64) y))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 x #s(literal 1/9 binary64))) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 (/.f64 x y) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1/27 binary64))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal -3 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1/27 binary64) y))
(*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) z) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1/27 binary64))
(*.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1/27 binary64) y))
(*.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (*.f64 #s(literal 27 binary64) y)))
(*.f64 (pow.f64 (*.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) x) #s(literal 27 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) x) y) #s(literal -1 binary64)) #s(literal 1/27 binary64))
(*.f64 (pow.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 3/2 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y))))
(*.f64 (pow.f64 (/.f64 (neg.f64 z) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/27 binary64) (/.f64 x y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/27 binary64) (/.f64 x y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 z) #s(literal 3 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y))) #s(literal -1 binary64)) (pow.f64 (/.f64 z #s(literal -3 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 z #s(literal -3 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (neg.f64 z) (/.f64 x (*.f64 #s(literal 27 binary64) y))) #s(literal -1 binary64)) #s(literal -3/2 binary64))
(*.f64 (pow.f64 (/.f64 z (*.f64 #s(literal -1/27 binary64) (/.f64 x y))) #s(literal -1 binary64)) #s(literal -3/2 binary64))
(*.f64 (pow.f64 (/.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1/9 binary64) y) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) y)) #s(literal -1 binary64)) (pow.f64 (/.f64 z (*.f64 x #s(literal 1/27 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 z #s(literal 1/9 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 z (/.f64 #s(literal 3 binary64) y)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/27 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/9 binary64) (/.f64 x y))) #s(literal -1 binary64)) (pow.f64 (neg.f64 z) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) z))
(*.f64 (pow.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1/27 binary64) y) z)))
(*.f64 (pow.f64 (/.f64 z (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1/27 binary64) y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/27 binary64) y) z))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal 1/9 binary64)) (/.f64 x y))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 #s(literal 3 binary64) y)) (*.f64 x #s(literal 1/27 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) x) (/.f64 #s(literal 1/9 binary64) y))
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1/27 binary64) y) z))
(*.f64 (*.f64 #s(literal 3 binary64) (/.f64 x z)) (*.f64 (/.f64 #s(literal 1/27 binary64) y) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) x) (*.f64 (/.f64 #s(literal 1/27 binary64) y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 18 binary64) (/.f64 z (/.f64 x y))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 18 binary64) (/.f64 z (/.f64 x y))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/9 binary64) (/.f64 x y))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal -1/27 binary64) (/.f64 x y)) #s(literal -1 binary64)) (/.f64 #s(literal 3/2 binary64) z))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) y) x) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal -3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal -2 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal -1/27 binary64) (/.f64 x y)) z) #s(literal -3/2 binary64))
(*.f64 (/.f64 (*.f64 #s(literal -1/27 binary64) (/.f64 x y)) #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) (neg.f64 z)))
(*.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x z)) (/.f64 #s(literal 1/27 binary64) y))
(*.f64 (/.f64 x (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1/9 binary64) y))
(*.f64 #s(literal 1/18 binary64) (pow.f64 (/.f64 z (/.f64 x y)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 #s(literal 1/9 binary64) z) (/.f64 (/.f64 x y) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 2 binary64)) (/.f64 (*.f64 x #s(literal 1/27 binary64)) z))
(*.f64 (/.f64 (/.f64 #s(literal 3 binary64) y) z) (/.f64 (*.f64 x #s(literal 1/27 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1/27 binary64) y) z))
(*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) z) (*.f64 (/.f64 #s(literal 1/27 binary64) y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) (*.f64 #s(literal 2 binary64) z)))
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(/.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) (sqrt.f64 t)) (*.f64 z (*.f64 #s(literal -54 binary64) y)))
(/.f64 (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (/.f64 y x)))
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 3/2 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y)))) z)
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 54 binary64) y) z))
(/.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/54 binary64) (/.f64 x y)) (sqrt.f64 t)) (*.f64 z #s(literal 1/3 binary64)))
(/.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) (*.f64 (/.f64 z (/.f64 x y)) #s(literal 54 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (sqrt.f64 t)) (*.f64 #s(literal 54 binary64) (/.f64 y x)))
(/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))
(/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)) (*.f64 (/.f64 z (*.f64 x #s(literal 1/9 binary64))) y))
(/.f64 (*.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) (sqrt.f64 t)) (*.f64 #s(literal -2 binary64) z))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 #s(literal 18 binary64) (/.f64 x y)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/9 binary64)) (/.f64 x y)) (*.f64 #s(literal 2 binary64) z))
(/.f64 (sqrt.f64 t) (*.f64 #s(literal 18 binary64) (/.f64 z (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (sqrt.f64 t) (*.f64 #s(literal 3/2 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 #s(literal 18 binary64) (/.f64 x y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 #s(literal 18 binary64) (/.f64 x y))))
(neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) (sqrt.f64 t)) (*.f64 #s(literal 2 binary64) z)))
(neg.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/9 binary64)) (/.f64 x y)) (*.f64 #s(literal -2 binary64) z)))
(neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z))))
(neg.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t)))
(exp.f64 (fma.f64 (log.f64 t) #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 #s(literal 18 binary64) (/.f64 z (/.f64 x y)))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 18 binary64) (/.f64 z (/.f64 x y)))) #s(literal -1 binary64) (*.f64 (log.f64 t) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal -1 binary64)))

eval631.0ms (2.4%)

Memory
-83.4MiB live, 179.3MiB allocated
Compiler

Compiled 12 388 to 2 590 computations (79.1% saved)

prune148.0ms (0.6%)

Memory
-12.3MiB live, 144.0MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New6704674
Fresh000
Picked101
Done000
Total6714675
Accuracy
98.5%
Counts
675 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.5%
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)))
▶98.5%
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
▶98.0%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
▶98.5%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
Compiler

Compiled 84 to 70 computations (16.7% saved)

simplify185.0ms (0.7%)

Memory
11.8MiB live, 130.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(PI.f64)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (PI.f64))
cost-diff128
(*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64))
cost-diff320
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)))
cost-diff0
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
cost-diff0
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))
cost-diff0
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
cost-diff128
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
cost-diff0
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))
cost-diff0
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (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 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
cost-diff0
(sqrt.f64 t)
cost-diff0
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
cost-diff0
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
cost-diff0
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
Rules
5 240×lower-fma.f32
5 236×lower-fma.f64
4 354×lower-*.f32
4 330×lower-*.f64
1 452×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045424
075423
1129413
2261405
3503405
41120405
52479405
63739405
74314405
85268405
96434405
107109405
117598405
127849405
137952405
08008402
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(sqrt.f64 t)
t
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
#s(literal 1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
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 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (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 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(/.f64 x (*.f64 z y))
x
(*.f64 z y)
z
y
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))
(asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(sqrt.f64 t)
t
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
#s(literal 1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z
#s(literal 2 binary64)
#s(literal 1/3 binary64)
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))
#s(literal 1/2 binary64)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(PI.f64)
#s(literal 1/3 binary64)
(*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64))
(neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))
(asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(sqrt.f64 t)
t
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
#s(literal 1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z
Outputs
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))
(sqrt.f64 t)
t
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
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 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
(*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 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 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64))) (sqrt.f64 t)))
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64))) (sqrt.f64 t))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64))
(/.f64 x (*.f64 z y))
(/.f64 (/.f64 x y) z)
x
(*.f64 z y)
z
y
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))
(pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) #s(literal 2 binary64))
(asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))
(sqrt.f64 t)
t
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z
#s(literal 2 binary64)
#s(literal 1/3 binary64)
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))))
#s(literal 1/2 binary64)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(PI.f64)
#s(literal 1/3 binary64)
(*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))))
(neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))
(neg.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))))
(asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))
(sqrt.f64 t)
t
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z

localize164.0ms (0.6%)

Memory
-8.8MiB live, 235.0MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.26953125
(*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64))
accuracy0.974941259768442
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)))
accuracy2.969987671792255
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
accuracy3.8787385734030133
(/.f64 (/.f64 x y) z)
accuracy0.258476269536884
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
accuracy0.984375
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
accuracy2.969987671792255
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
accuracy3.8787385734030133
(/.f64 (/.f64 x y) z)
accuracy0.258476269536884
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
accuracy0.9609375
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
accuracy2.969987671792255
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))
accuracy4.382828855808451
(/.f64 x (*.f64 z y))
accuracy0.258476269536884
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
accuracy0.9609375
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
accuracy2.969987671792255
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
accuracy3.8787385734030133
(/.f64 (/.f64 x y) z)
Samples
126.0ms256×0valid
Compiler

Compiled 401 to 47 computations (88.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 97.0ms
const: 25.0ms (25.8% of total)
ival-mult: 22.0ms (22.7% of total)
ival-add: 21.0ms (21.7% of total)
ival-div: 14.0ms (14.4% of total)
ival-acos: 4.0ms (4.1% of total)
ival-pow2: 3.0ms (3.1% of total)
ival-asin: 2.0ms (2.1% of total)
ival-sqrt: 2.0ms (2.1% of total)
ival-pi: 1.0ms (1% of total)
ival-sub: 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)

series145.0ms (0.5%)

Memory
9.1MiB live, 158.5MiB allocated
Counts
20 → 684
Calls
Call 1
Inputs
#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (patch (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) (patch (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) #<representation binary64>) () ())
#s(alt (sqrt.f64 t) (patch (sqrt.f64 t) #<representation binary64>) () ())
#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 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (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 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) #<representation binary64>) () ())
#s(alt (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))) (patch (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)) (patch (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) (patch (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) (patch (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (patch (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64))) (patch (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)) (patch (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/2 binary64) (PI.f64)) (patch (*.f64 #s(literal 1/2 binary64) (PI.f64)) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (patch (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) #<representation binary64>) () ())
#s(alt (/.f64 x (*.f64 z y)) (patch (/.f64 x (*.f64 z y)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (patch (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (patch (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (patch (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (patch (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (patch (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) (patch (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) (patch (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) (patch (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) (patch (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) #<representation binary64>) () ())) ())
#s(alt (sqrt t) (taylor 0 t) (#s(alt (sqrt.f64 t) (patch (sqrt.f64 t) #<representation binary64>) () ())) ())
#s(alt (sqrt t) (taylor 0 t) (#s(alt (sqrt.f64 t) (patch (sqrt.f64 t) #<representation binary64>) () ())) ())
#s(alt (sqrt t) (taylor 0 t) (#s(alt (sqrt.f64 t) (patch (sqrt.f64 t) #<representation binary64>) () ())) ())
#s(alt (sqrt t) (taylor 0 t) (#s(alt (sqrt.f64 t) (patch (sqrt.f64 t) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (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 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (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 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (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 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (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 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))) (patch (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))) (patch (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))) (patch (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))) (patch (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)) (patch (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
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#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (patch (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (patch (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (patch (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
30.0ms
x
@-inf
((* (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (sqrt t) (/ 1 3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) (* 1/4 (* (PI) (PI))) (+ (* (* 1/2 (PI)) 1/3) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3)) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3) (* 1/2 (PI)) (PI) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)) (/ x (* z y)) (* (/ x (* z y)) 1/18))
11.0ms
y
@inf
((* (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (sqrt t) (/ 1 3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) (* 1/4 (* (PI) (PI))) (+ (* (* 1/2 (PI)) 1/3) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3)) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3) (* 1/2 (PI)) (PI) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)) (/ x (* z y)) (* (/ x (* z y)) 1/18))
7.0ms
t
@0
((* (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (sqrt t) (/ 1 3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) (* 1/4 (* (PI) (PI))) (+ (* (* 1/2 (PI)) 1/3) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3)) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3) (* 1/2 (PI)) (PI) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)) (/ x (* z y)) (* (/ x (* z y)) 1/18))
5.0ms
t
@-inf
((* (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (sqrt t) (/ 1 3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) (* 1/4 (* (PI) (PI))) (+ (* (* 1/2 (PI)) 1/3) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3)) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3) (* 1/2 (PI)) (PI) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)) (/ x (* z y)) (* (/ x (* z y)) 1/18))
4.0ms
z
@-inf
((* (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (sqrt t) (/ 1 3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) (* 1/4 (* (PI) (PI))) (+ (* (* 1/2 (PI)) 1/3) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3)) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3) (* 1/2 (PI)) (PI) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)) (/ x (* z y)) (* (/ x (* z y)) 1/18))

simplify195.0ms (0.7%)

Memory
16.9MiB live, 253.3MiB allocated
Algorithm
1×egg-herbie
Rules
3 826×lower-*.f64
3 826×lower-*.f32
3 608×lower-fma.f64
3 608×lower-fma.f32
2 480×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0559488
11189328
23109288
39949288
423389288
551619288
668769288
080779096
Stop Event
1×iter limit
1×node limit
Counts
684 → 684
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))))))
(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)))))
(* 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))))
(sqrt t)
(sqrt t)
(sqrt t)
(sqrt t)
(* 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))))))
(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)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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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 (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))))))
(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)))))
(* 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))))
(sqrt t)
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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))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))
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(* 1/3 (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)))))
(* 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))))
(* 1/3 (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))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(acos (* 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))))
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(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
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(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
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(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ 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))))))
(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)))))
(* 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))))
(* 1/3 (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))))))
(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)))))
(* 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))))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(* -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))))))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ 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))))))
(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)))))
(* 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))))
(* 1/3 (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))))))
(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)))))
(* 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))))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(* -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))))))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ 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))))))
(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)))))
(* 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))))
(* 1/3 (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))))))
(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)))))
(* 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))))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(* -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))))))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
Outputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))
(sqrt t)
(sqrt.f64 t)
(sqrt t)
(sqrt.f64 t)
(sqrt t)
(sqrt.f64 t)
(sqrt t)
(sqrt.f64 t)
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t))))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t))))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t))))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t))))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
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(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))))
(/ x (* y z))
(/.f64 x (*.f64 z y))
(/ x (* y z))
(/.f64 x (*.f64 z y))
(/ x (* y z))
(/.f64 x (*.f64 z y))
(/ x (* y z))
(/.f64 x (*.f64 z y))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(/ x (* y z))
(/.f64 x (*.f64 z y))
(/ x (* y z))
(/.f64 x (*.f64 z y))
(/ x (* y z))
(/.f64 x (*.f64 z y))
(/ x (* y z))
(/.f64 x (*.f64 z y))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))

rewrite460.0ms (1.7%)

Memory
3.0MiB live, 396.6MiB allocated
Rules
5 344×lower-*.f32
5 320×lower-*.f64
4 916×lower-/.f32
4 908×lower-/.f64
4 414×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045249
075220
1230213
21471207
08205207
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 1 633
Calls
Call 1
Inputs
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(sqrt.f64 t)
(/.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 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)))
(*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
(/.f64 (/.f64 x y) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(/.f64 x (*.f64 z y))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
Outputs
(*.f64 (/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64)))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (-.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64)))) (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (PI.f64) (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 1/3 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64)))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) (pow.f64 (fma.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (-.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -1 binary64))))
(*.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (/.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (-.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (-.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 4 binary64))) (/.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))))) (pow.f64 (fma.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))))) (pow.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) (*.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) (*.f64 #s(literal 1/6 binary64) (PI.f64)))))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal -1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))))))
(*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (PI.f64) (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 1/3 binary64))))))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/6 binary64) (PI.f64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) (-.f64 (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) (*.f64 #s(literal 1/6 binary64) (PI.f64))) (*.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (PI.f64)))))))
(*.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 4 binary64))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))))))
(*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))))))
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(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (neg.f64 x)) #s(literal -1 binary64)) (*.f64 (neg.f64 y) (neg.f64 z)))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (neg.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 z #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (neg.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 y) z))
(/.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 y) z))
(/.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 y))
(/.f64 (*.f64 (neg.f64 (neg.f64 x)) #s(literal 1/18 binary64)) (*.f64 (neg.f64 (neg.f64 y)) z))
(/.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1/18 binary64)) (*.f64 z y))
(/.f64 #s(literal -1/18 binary64) (*.f64 (neg.f64 (/.f64 y x)) z))
(/.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 y x) (neg.f64 z)))
(/.f64 #s(literal -1/18 binary64) (neg.f64 (*.f64 z (/.f64 y x))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1/27 binary64)) #s(literal -1 binary64)) (*.f64 y (*.f64 #s(literal -2 binary64) z)))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1/27 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1/27 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 #s(literal 2 binary64) z)))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal -1 binary64)) (*.f64 #s(literal 27 binary64) (*.f64 #s(literal -2 binary64) z)))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 1 binary64)) (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1 binary64))))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 1 binary64)) (*.f64 #s(literal 27 binary64) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -27 binary64) y) (*.f64 #s(literal -2 binary64) z)))
(/.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -27 binary64) y) (*.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -27 binary64) y) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 27 binary64) (*.f64 #s(literal -2 binary64) z)))
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 27 binary64) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (neg.f64 x)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -27 binary64) y) (*.f64 #s(literal -2 binary64) z)))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (neg.f64 x)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -27 binary64) y) (*.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (neg.f64 x)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -27 binary64) y) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 x y)) #s(literal -1 binary64)) (*.f64 #s(literal 27 binary64) (*.f64 #s(literal -2 binary64) z)))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 x y)) #s(literal 1 binary64)) (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 x y)) #s(literal 1 binary64)) (*.f64 #s(literal 27 binary64) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -27 binary64) y) (*.f64 #s(literal -2 binary64) z)))
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -27 binary64) y) (*.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -27 binary64) y) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal -2 binary64) z)))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal -2 binary64) z)))
(/.f64 (*.f64 (*.f64 x #s(literal 1/27 binary64)) #s(literal 3 binary64)) (*.f64 y (*.f64 #s(literal 2 binary64) z)))
(/.f64 (*.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal -27 binary64) y)) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal 3 binary64)) (*.f64 #s(literal -27 binary64) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (*.f64 (neg.f64 x) #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -27 binary64) y)) (neg.f64 z)))
(/.f64 (*.f64 (/.f64 x y) #s(literal -3 binary64)) (*.f64 #s(literal 54 binary64) (neg.f64 z)))
(/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 27 binary64) y)) (neg.f64 z)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -27 binary64) y))))
(/.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 27 binary64) y))))
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y)
(/.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) z)
(/.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) y)
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal 1/18 binary64)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1/18 binary64)) (*.f64 (neg.f64 y) z))
(/.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -27 binary64) y)) z))
(/.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -27 binary64) y) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 #s(literal 54 binary64) z))
(/.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 #s(literal 27 binary64) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 (/.f64 x y) #s(literal 1/54 binary64))) z)
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 #s(literal 27 binary64) y))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x z)) y)
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (neg.f64 x) y)) (neg.f64 z))
(/.f64 (*.f64 #s(literal 1/18 binary64) (neg.f64 x)) (*.f64 (neg.f64 y) z))
(/.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 #s(literal 54 binary64) (*.f64 z #s(literal 1/3 binary64))))
(/.f64 (*.f64 #s(literal 3 binary64) (neg.f64 x)) (*.f64 z (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -27 binary64) y))))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x y)) (*.f64 z #s(literal 54 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) z))
(/.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 #s(literal 27 binary64) (/.f64 y x)) z))
(/.f64 #s(literal 3/2 binary64) (*.f64 z (*.f64 #s(literal 27 binary64) (/.f64 y x))))
(/.f64 #s(literal -3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 #s(literal 27 binary64) (/.f64 y x))))
(/.f64 #s(literal -3 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 27 binary64) (/.f64 y x))) (neg.f64 z)))
(/.f64 #s(literal -3 binary64) (*.f64 (neg.f64 z) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 27 binary64) (/.f64 y x)))))
(/.f64 #s(literal -3 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 27 binary64) (/.f64 y x))) (*.f64 #s(literal 2 binary64) z)))
(/.f64 #s(literal -3 binary64) (*.f64 (*.f64 #s(literal 27 binary64) (/.f64 y x)) (*.f64 #s(literal -2 binary64) z)))
(/.f64 (neg.f64 (*.f64 x #s(literal 1/18 binary64))) (*.f64 (neg.f64 y) z))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64))) (neg.f64 z))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z)) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y))) (neg.f64 (*.f64 #s(literal -2 binary64) z)))
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) x)) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 27 binary64) y))))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -27 binary64) y)) (*.f64 z #s(literal 1/3 binary64))))
(/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 27 binary64) y)) (*.f64 z #s(literal 1/3 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -27 binary64) y) (*.f64 #s(literal -2 binary64) z)))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z) #s(literal 2 binary64))
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))
(/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 27 binary64) y)) z))
(/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 z (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 27 binary64) y))))
(/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 27 binary64) y)))
(/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) z)
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 #s(literal 9 binary64) (/.f64 y x))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 9 binary64) (/.f64 y x)) (*.f64 #s(literal -2 binary64) z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 9 binary64) (/.f64 y x)) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 3 binary64) z) (*.f64 (*.f64 #s(literal 27 binary64) (/.f64 y x)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) (*.f64 #s(literal -2 binary64) z))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 9 binary64) (/.f64 y x)) z))
(/.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 #s(literal 1/9 binary64) (/.f64 x y))))
(/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (*.f64 #s(literal 2 binary64) z))
(/.f64 (*.f64 #s(literal 1/27 binary64) (/.f64 x y)) (*.f64 (*.f64 z #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1 binary64)) (*.f64 #s(literal 27 binary64) (/.f64 y x))))
(/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 27 binary64) (/.f64 y x))) z))
(/.f64 #s(literal 3 binary64) (*.f64 z (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 27 binary64) (/.f64 y x)))))
(/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 27 binary64) (/.f64 y x)) (*.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1 binary64))))
(/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 27 binary64) (/.f64 y x)) (*.f64 #s(literal 2 binary64) z)))
(/.f64 #s(literal 3 binary64) (*.f64 (*.f64 z (/.f64 y x)) #s(literal 54 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(literal 3 binary64) (*.f64 (/.f64 x y) #s(literal 1/54 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1/2 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal 2 binary64) z)) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 27 binary64) y)) (*.f64 #s(literal 3 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 x #s(literal 1/18 binary64)) z)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 x z) #s(literal 1/18 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) #s(literal 1/18 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) z) (*.f64 (neg.f64 x) #s(literal 1/18 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 1/18 binary64) (/.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (*.f64 #s(literal 1/18 binary64) (/.f64 (neg.f64 x) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) z) (*.f64 #s(literal 1/18 binary64) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (/.f64 y x)) #s(literal 1/18 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1 binary64)) (*.f64 #s(literal 9 binary64) (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 9 binary64) (/.f64 y x)) (*.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 9 binary64) (/.f64 y x)) (*.f64 #s(literal 2 binary64) z)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))))
(/.f64 (/.f64 x y) (*.f64 (*.f64 z #s(literal 1/3 binary64)) #s(literal 54 binary64)))
(/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 y x) (*.f64 z #s(literal 1 binary64))))
(/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 y x) z))
(/.f64 #s(literal 1/18 binary64) (*.f64 z (/.f64 y x)))
(neg.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) z)) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))) #s(literal -1 binary64)))

eval1.3s (4.9%)

Memory
62.8MiB live, 1 567.0MiB allocated
Compiler

Compiled 136 666 to 10 952 computations (92% saved)

prune740.0ms (2.8%)

Memory
-128.5MiB live, 944.0MiB allocated
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New4 25754 262
Fresh000
Picked314
Done000
Total4 26064 266
Accuracy
100.0%
Counts
4 266 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)))
▶97.7%
(fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
▶99.2%
(pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))
▶97.7%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)))
▶98.0%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64))
✓98.5%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
Compiler

Compiled 183 to 179 computations (2.2% saved)

simplify61.0ms (0.2%)

Memory
2.9MiB live, 39.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))
cost-diff0
(pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64))
cost-diff6080
(*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64))
cost-diff6848
(pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))
cost-diff0
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))
cost-diff0
(pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64))
cost-diff1088
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)))
cost-diff6080
(*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64))
cost-diff0
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)
cost-diff0
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))
cost-diff0
(asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))
cost-diff0
(fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
cost-diff0
(sqrt.f64 t)
cost-diff0
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))
cost-diff0
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))
cost-diff0
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))
cost-diff128
(*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64))
cost-diff320
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)))
cost-diff12864
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
Rules
540×lower-*.f32
518×lower-*.f64
440×lower-fma.f32
436×lower-fma.f64
118×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042403
074387
1129378
2228378
3336378
4404378
5468378
6563378
7652378
8781378
9903378
10927378
11927378
0927378
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))
#s(literal 1/2 binary64)
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(PI.f64)
#s(literal 3 binary64)
#s(literal 1/3 binary64)
(*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64))
(neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))
(asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(sqrt.f64 t)
t
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
#s(literal 1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))
(sqrt.f64 t)
t
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))
(*.f64 x #s(literal 1/18 binary64))
x
#s(literal 1/18 binary64)
(*.f64 z y)
z
y
#s(literal 1/3 binary64)
(fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
z
(/.f64 x y)
x
y
#s(literal -1/3 binary64)
(*.f64 #s(literal 1/6 binary64) (PI.f64))
#s(literal 1/6 binary64)
(PI.f64)
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)))
#s(literal 1 binary64)
(*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64))
(pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64))
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
z
(/.f64 x y)
x
y
#s(literal -1 binary64)
#s(literal 3 binary64)
(pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64))
(pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64))
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
z
(/.f64 x y)
x
y
#s(literal -1 binary64)
#s(literal 3 binary64)
Outputs
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(PI.f64)
(pow.f64 (PI.f64) #s(literal 3 binary64))
(PI.f64)
#s(literal 3 binary64)
#s(literal 1/3 binary64)
(*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))))
(neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))
(neg.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))))
(asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))
(sqrt.f64 t)
t
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))
(acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64))))
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))
(sqrt.f64 t)
t
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))
(*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64))
(*.f64 x #s(literal 1/18 binary64))
x
#s(literal 1/18 binary64)
(*.f64 z y)
z
y
#s(literal 1/3 binary64)
(fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(fma.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))
(asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
z
(/.f64 x y)
x
y
#s(literal -1/3 binary64)
(*.f64 #s(literal 1/6 binary64) (PI.f64))
#s(literal 1/6 binary64)
(PI.f64)
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
#s(literal 1 binary64)
(*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))))
(pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64))
(pow.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))) #s(literal -1 binary64))
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))
(acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
z
(/.f64 x y)
x
y
#s(literal -1 binary64)
#s(literal 3 binary64)
(pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))))
(pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64))
(pow.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))) #s(literal -1 binary64))
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))
(acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
z
(/.f64 x y)
x
y
#s(literal -1 binary64)
#s(literal 3 binary64)

localize144.0ms (0.5%)

Memory
43.5MiB live, 275.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64))
accuracy0.2421875
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)
accuracy0.42578125
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
accuracy5.735648329633206
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))
accuracy0.2421875
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)
accuracy0.42578125
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
accuracy0.94921875
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)))
accuracy5.735648329633206
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))
accuracy0.2421875
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)
accuracy0.42578125
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
accuracy1.0
(*.f64 #s(literal 1/6 binary64) (PI.f64))
accuracy5.735648329633206
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))
accuracy0.38671875
(*.f64 x #s(literal 1/18 binary64))
accuracy0.9609375
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64))
accuracy2.969987671792255
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))
accuracy4.416736362941427
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))
accuracy1.0
(pow.f64 (PI.f64) #s(literal 3 binary64))
accuracy1.0
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
accuracy2.969987671792255
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
accuracy3.8787385734030133
(/.f64 (/.f64 x y) z)
Samples
107.0ms256×0valid
Compiler

Compiled 407 to 46 computations (88.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-mult: 21.0ms (29.4% of total)
const: 15.0ms (21% of total)
ival-div: 9.0ms (12.6% of total)
ival-acos: 8.0ms (11.2% of total)
ival-pow: 7.0ms (9.8% of total)
ival-asin: 3.0ms (4.2% of total)
ival-add: 2.0ms (2.8% of total)
ival-cbrt: 2.0ms (2.8% of total)
ival-sqrt: 2.0ms (2.8% of total)
ival-pi: 1.0ms (1.4% of total)
exact: 1.0ms (1.4% of total)
ival-neg: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series135.0ms (0.5%)

Memory
5.0MiB live, 154.5MiB allocated
Counts
24 → 804
Calls
Call 1
Inputs
#s(alt (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (patch (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64))) (patch (fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)) (patch (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) (patch (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) (patch (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))) (patch (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))) #<representation binary64>) () ())
#s(alt (sqrt.f64 t) (patch (sqrt.f64 t) #<representation binary64>) () ())
#s(alt (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64))) (patch (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64))) #<representation binary64>) () ())
#s(alt (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (patch (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)) (patch (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (patch (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) (patch (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) (patch (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (patch (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #<representation binary64>) () ())
#s(alt (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) (patch (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) #<representation binary64>) () ())
#s(alt (pow.f64 (PI.f64) #s(literal 3 binary64)) (patch (pow.f64 (PI.f64) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)) (patch (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 1/18 binary64)) (patch (*.f64 x #s(literal 1/18 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/6 binary64) (PI.f64)) (patch (*.f64 #s(literal 1/6 binary64) (PI.f64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (patch (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) #<representation binary64>) () ())
Outputs
#s(alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64))) (patch (fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64))) (patch (fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64))) (patch (fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64))) (patch (fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)) (patch (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)) (patch (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)) (patch (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)) (patch (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) (patch (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) (patch (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) (patch (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) (patch (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))) (patch (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))) (patch (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))) (patch (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))) (patch (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (sqrt t) (taylor 0 t) (#s(alt (sqrt.f64 t) (patch (sqrt.f64 t) #<representation binary64>) () ())) ())
#s(alt (sqrt t) (taylor 0 t) (#s(alt (sqrt.f64 t) (patch (sqrt.f64 t) #<representation binary64>) () ())) ())
#s(alt (sqrt t) (taylor 0 t) (#s(alt (sqrt.f64 t) (patch (sqrt.f64 t) #<representation binary64>) () ())) ())
#s(alt (sqrt t) (taylor 0 t) (#s(alt (sqrt.f64 t) (patch (sqrt.f64 t) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) (taylor 0 t) (#s(alt (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64))) (patch (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) (taylor 0 t) (#s(alt (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64))) (patch (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) (taylor 0 t) (#s(alt (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64))) (patch (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) (taylor 0 t) (#s(alt (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64))) (patch (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (patch (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (patch (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (patch (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (patch (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)) (patch (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)) (patch (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)) (patch (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)) (patch (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)) #<representation binary64>) () ())) ())
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#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)) (patch (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)) (patch (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) (patch (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) (patch (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) (patch (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) (patch (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) (patch (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) (patch (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) (patch (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) (patch (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor -inf x) (#s(alt (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (patch (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor -inf x) (#s(alt (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (patch (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor -inf x) (#s(alt (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (patch (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor -inf x) (#s(alt (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (patch (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) (patch (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) (patch (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) (patch (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) (patch (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)) (patch (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)) (patch (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)) (patch (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)) (patch (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/18 binary64)) (patch (*.f64 x #s(literal 1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/18 binary64)) (patch (*.f64 x #s(literal 1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/18 binary64)) (patch (*.f64 x #s(literal 1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/18 binary64)) (patch (*.f64 x #s(literal 1/18 binary64)) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
36.0ms
z
@inf
((cbrt (pow (PI) 3)) (+ (* (* 1/2 (cbrt (pow (PI) 3))) 1/3) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3)) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3) (* 1/2 (cbrt (pow (PI) 3))) (* (acos (* (sqrt t) (/ (* x 1/18) (* z y)))) 1/3) (acos (* (sqrt t) (/ (* x 1/18) (* z y)))) (* (sqrt t) (/ (* x 1/18) (* z y))) (sqrt t) (+ (* (asin (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1/3) (* 1/6 (PI))) (asin (* (/ (* 1/18 (sqrt t)) z) (/ x y))) (* (/ (* 1/18 (sqrt t)) z) (/ x y)) (/ (* 1/18 (sqrt t)) z) (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/ 1 (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3)) (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) (pow (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) -1) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (pow (PI) 3) (/ (* x 1/18) (* z y)) (* x 1/18) (* 1/6 (PI)) (* 1/18 (sqrt t)))
5.0ms
t
@0
((cbrt (pow (PI) 3)) (+ (* (* 1/2 (cbrt (pow (PI) 3))) 1/3) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3)) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3) (* 1/2 (cbrt (pow (PI) 3))) (* (acos (* (sqrt t) (/ (* x 1/18) (* z y)))) 1/3) (acos (* (sqrt t) (/ (* x 1/18) (* z y)))) (* (sqrt t) (/ (* x 1/18) (* z y))) (sqrt t) (+ (* (asin (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1/3) (* 1/6 (PI))) (asin (* (/ (* 1/18 (sqrt t)) z) (/ x y))) (* (/ (* 1/18 (sqrt t)) z) (/ x y)) (/ (* 1/18 (sqrt t)) z) (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/ 1 (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3)) (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) (pow (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) -1) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (pow (PI) 3) (/ (* x 1/18) (* z y)) (* x 1/18) (* 1/6 (PI)) (* 1/18 (sqrt t)))
4.0ms
t
@-inf
((cbrt (pow (PI) 3)) (+ (* (* 1/2 (cbrt (pow (PI) 3))) 1/3) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3)) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3) (* 1/2 (cbrt (pow (PI) 3))) (* (acos (* (sqrt t) (/ (* x 1/18) (* z y)))) 1/3) (acos (* (sqrt t) (/ (* x 1/18) (* z y)))) (* (sqrt t) (/ (* x 1/18) (* z y))) (sqrt t) (+ (* (asin (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1/3) (* 1/6 (PI))) (asin (* (/ (* 1/18 (sqrt t)) z) (/ x y))) (* (/ (* 1/18 (sqrt t)) z) (/ x y)) (/ (* 1/18 (sqrt t)) z) (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/ 1 (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3)) (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) (pow (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) -1) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (pow (PI) 3) (/ (* x 1/18) (* z y)) (* x 1/18) (* 1/6 (PI)) (* 1/18 (sqrt t)))
3.0ms
x
@-inf
((cbrt (pow (PI) 3)) (+ (* (* 1/2 (cbrt (pow (PI) 3))) 1/3) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3)) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3) (* 1/2 (cbrt (pow (PI) 3))) (* (acos (* (sqrt t) (/ (* x 1/18) (* z y)))) 1/3) (acos (* (sqrt t) (/ (* x 1/18) (* z y)))) (* (sqrt t) (/ (* x 1/18) (* z y))) (sqrt t) (+ (* (asin (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1/3) (* 1/6 (PI))) (asin (* (/ (* 1/18 (sqrt t)) z) (/ x y))) (* (/ (* 1/18 (sqrt t)) z) (/ x y)) (/ (* 1/18 (sqrt t)) z) (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/ 1 (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3)) (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) (pow (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) -1) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (pow (PI) 3) (/ (* x 1/18) (* z y)) (* x 1/18) (* 1/6 (PI)) (* 1/18 (sqrt t)))
3.0ms
t
@inf
((cbrt (pow (PI) 3)) (+ (* (* 1/2 (cbrt (pow (PI) 3))) 1/3) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3)) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3) (* 1/2 (cbrt (pow (PI) 3))) (* (acos (* (sqrt t) (/ (* x 1/18) (* z y)))) 1/3) (acos (* (sqrt t) (/ (* x 1/18) (* z y)))) (* (sqrt t) (/ (* x 1/18) (* z y))) (sqrt t) (+ (* (asin (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1/3) (* 1/6 (PI))) (asin (* (/ (* 1/18 (sqrt t)) z) (/ x y))) (* (/ (* 1/18 (sqrt t)) z) (/ x y)) (/ (* 1/18 (sqrt t)) z) (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/ 1 (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3)) (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) (pow (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) -1) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (pow (PI) 3) (/ (* x 1/18) (* z y)) (* x 1/18) (* 1/6 (PI)) (* 1/18 (sqrt t)))

simplify191.0ms (0.7%)

Memory
-11.9MiB live, 234.2MiB allocated
Algorithm
1×egg-herbie
Rules
3 884×lower-*.f64
3 884×lower-*.f32
2 458×lower-fma.f64
2 458×lower-fma.f32
2 288×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0539352
11059128
22699084
312319084
435889084
558309084
080488988
Stop Event
1×iter limit
1×node limit
Counts
804 → 804
Calls
Call 1
Inputs
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(* 1/18 (* (sqrt t) (/ 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)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(* -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 (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))))))
(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)))))
(* 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))))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin (* 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))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 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 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (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)))))
(* 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))))))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ 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 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
Outputs
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal -1/3 binary64))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal -1/3 binary64))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal -1/3 binary64))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal -1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(sqrt t)
(sqrt.f64 t)
(sqrt t)
(sqrt.f64 t)
(sqrt t)
(sqrt.f64 t)
(sqrt t)
(sqrt.f64 t)
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (* (sqrt t) (/ 1 z)))
(*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ 1 z)))
(*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ 1 z)))
(*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ 1 z)))
(*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (sqrt t))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
(* 1/18 (sqrt t))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
(* 1/18 (sqrt t))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
(* 1/18 (sqrt t))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal -1/3 binary64))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal -1/3 binary64))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal -1/3 binary64))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal -1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(sqrt t)
(sqrt.f64 t)
(sqrt t)
(sqrt.f64 t)
(sqrt t)
(sqrt.f64 t)
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(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(/ x (* y z))
(/.f64 x (*.f64 z y))
(/ x (* y z))
(/.f64 x (*.f64 z y))
(/ x (* y z))
(/.f64 x (*.f64 z y))
(/ x (* y z))
(/.f64 x (*.f64 z y))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))

rewrite8.0s (29.8%)

Memory
6.7MiB live, 428.7MiB allocated
Rules
5 290×lower-fma.f32
5 286×lower-fma.f64
4 638×lower-*.f32
4 616×lower-*.f64
3 006×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042233
074232
1229204
21465204
08521204
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 1 896
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)))
(*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))
(sqrt.f64 t)
(fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)
(*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)))
(pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64))
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))
(pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 x y) z)
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))
(*.f64 x #s(literal 1/18 binary64))
(*.f64 #s(literal 1/6 binary64) (PI.f64))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
Outputs
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 5 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (*.f64 (cbrt.f64 (PI.f64)) (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (exp.f64 (log.f64 (sqrt.f64 (PI.f64)))) (exp.f64 (log.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (exp.f64 (log.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (exp.f64 (log.f64 (cbrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/4 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 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (PI.f64))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (*.f64 (cbrt.f64 (PI.f64)) (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 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 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(fabs.f64 (PI.f64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (log.f64 (PI.f64)))
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)
(*.f64 (*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))))))
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(*.f64 (/.f64 #s(literal -1/18 binary64) y) (/.f64 x (neg.f64 z)))
(*.f64 (/.f64 #s(literal -1/18 binary64) z) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal 1/18 binary64) (neg.f64 y)))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1/18 binary64) (*.f64 z y)))
(*.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 x (neg.f64 z)) (/.f64 #s(literal -1/18 binary64) y))
(*.f64 (pow.f64 (*.f64 z #s(literal 18 binary64)) #s(literal -1 binary64)) (/.f64 x y))
(*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1/18 binary64) (/.f64 x z)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1/18 binary64) (/.f64 x y)))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))
(*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x y)) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal -1/18 binary64) (/.f64 (neg.f64 x) (*.f64 z y)))
(*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (neg.f64 x) y) z))
(*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x z)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x z)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 1/18 binary64) (/.f64 x z)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (/.f64 y (*.f64 x #s(literal 1/18 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 x y) #s(literal 1/18 binary64)))
(*.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) (*.f64 x #s(literal 1/18 binary64)))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1/18 binary64) z))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal 1/18 binary64) (neg.f64 z)))
(*.f64 (*.f64 #s(literal -1/18 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 z y)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 (*.f64 x #s(literal 1/18 binary64)) (pow.f64 (*.f64 z y) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64))
(*.f64 (/.f64 x y) (pow.f64 (*.f64 z #s(literal 18 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 x y) (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/18 binary64)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(pow.f64 (*.f64 #s(literal 18 binary64) (*.f64 (/.f64 y x) z)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64))) (neg.f64 y))
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) z))
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) x) #s(literal -1 binary64)) (*.f64 z y))
(/.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 y) z))
(/.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) z)
(/.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) y)
(/.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 y x))
(/.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x y)) (neg.f64 z))
(/.f64 #s(literal -1/18 binary64) (*.f64 (neg.f64 y) (/.f64 z x)))
(/.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (neg.f64 y) x) z))
(/.f64 #s(literal -1/18 binary64) (/.f64 z (/.f64 (neg.f64 x) y)))
(/.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x z)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x z)) y)
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) z)
(/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z x))
(/.f64 (/.f64 x z) (*.f64 y #s(literal 18 binary64)))
(/.f64 (neg.f64 x) (*.f64 (*.f64 y #s(literal 18 binary64)) (neg.f64 z)))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 z) (*.f64 y #s(literal 18 binary64))))
(/.f64 (*.f64 #s(literal -1/18 binary64) x) (*.f64 (neg.f64 y) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x (/.f64 #s(literal 1/18 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 x z) #s(literal 1/18 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 x #s(literal 1/18 binary64))) y))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 18 binary64) (*.f64 (/.f64 y x) z)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z (*.f64 x #s(literal 1/18 binary64))) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 y x) z) #s(literal -1/18 binary64)))
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))
(/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z))
(/.f64 x (*.f64 z (*.f64 y #s(literal 18 binary64))))
(/.f64 x (*.f64 (*.f64 z y) #s(literal 18 binary64)))
(/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z x)))
(/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 y x) z))
(neg.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x y)) z))
(neg.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x z)) y))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 18 binary64) (*.f64 (/.f64 y x) z))))
(neg.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (neg.f64 z)))
(neg.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x z)) (neg.f64 y)))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z))))
(neg.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (neg.f64 x) y) z)))
(neg.f64 (*.f64 (/.f64 (/.f64 (neg.f64 x) y) z) #s(literal 1/18 binary64)))
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/18 binary64))))
(neg.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) z)) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 18 binary64) (*.f64 (/.f64 y x) z))) #s(literal -1 binary64)))
(*.f64 #s(literal -1/18 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal -1/18 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/18 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/18 binary64) x))
(*.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 1/18 binary64))
(*.f64 #s(literal 1/18 binary64) x)
(neg.f64 (*.f64 #s(literal -1/18 binary64) x))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/18 binary64) x))
(*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (PI.f64)) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/6 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(*.f64 #s(literal 1/6 binary64) (PI.f64))
(*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (PI.f64)))
(*.f64 (PI.f64) #s(literal 1/6 binary64))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (PI.f64)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 t))) #s(literal 1/18 binary64))
(*.f64 (neg.f64 (sqrt.f64 t)) #s(literal -1/18 binary64))
(*.f64 #s(literal -1/18 binary64) (neg.f64 (sqrt.f64 t)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) #s(literal 1 binary64))
(*.f64 #s(literal 1/18 binary64) (neg.f64 (neg.f64 (sqrt.f64 t))))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
(neg.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)))

eval742.0ms (2.8%)

Memory
29.5MiB live, 1 172.5MiB allocated
Compiler

Compiled 92 162 to 5 823 computations (93.7% saved)

prune321.0ms (1.2%)

Memory
-10.7MiB live, 645.3MiB allocated
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New3 68863 694
Fresh000
Picked505
Done011
Total3 69373 700
Accuracy
100.0%
Counts
3 700 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
▶97.2%
(fma.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
▶99.2%
(pow.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal -1 binary64))
▶97.4%
(/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))
▶97.4%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64)))
▶98.3%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z)))) #s(literal 1/3 binary64))
✓98.5%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
Compiler

Compiled 211 to 203 computations (3.8% saved)

simplify15.0ms (0.1%)

Memory
-18.5MiB live, 20.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))
cost-diff0
(acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))
cost-diff1088
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64)))
cost-diff6080
(*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64))
cost-diff0
(/.f64 (*.f64 (sqrt.f64 t) x) y)
cost-diff0
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))
cost-diff0
(acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))
cost-diff384
(/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))
cost-diff0
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
cost-diff0
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x)
cost-diff0
(asin.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)))
cost-diff0
(fma.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
cost-diff0
(/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z))
cost-diff0
(sqrt.f64 t)
cost-diff0
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z))))
cost-diff0
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z)))) #s(literal 1/3 binary64))
cost-diff0
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
cost-diff0
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
cost-diff0
#s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))))
cost-diff0
(pow.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal -1 binary64))
Rules
348×lower-*.f32
322×lower-*.f64
176×lower-/.f32
156×lower-/.f64
114×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052384
084378
1136374
2247374
3401374
4454374
5458374
0458374
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(pow.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal -1 binary64))
#s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
#s(literal 3 binary64)
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64))
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(/.f64 (sqrt.f64 t) z)
(sqrt.f64 t)
t
z
y
#s(literal 1/18 binary64)
x
#s(literal -1 binary64)
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z))))
(*.f64 (sqrt.f64 t) (/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z)))
(sqrt.f64 t)
t
(/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z))
x
(*.f64 (*.f64 y #s(literal 18 binary64)) z)
(*.f64 y #s(literal 18 binary64))
y
#s(literal 18 binary64)
z
#s(literal 1/3 binary64)
(fma.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(asin.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))
(*.f64 (*.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
x
(*.f64 z y)
z
y
#s(literal -1/3 binary64)
(*.f64 #s(literal 1/6 binary64) (PI.f64))
#s(literal 1/6 binary64)
(PI.f64)
(/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))
(acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))
(/.f64 (*.f64 (sqrt.f64 t) x) y)
(*.f64 (sqrt.f64 t) x)
(sqrt.f64 t)
t
x
y
(/.f64 #s(literal 1/18 binary64) z)
#s(literal 1/18 binary64)
z
#s(literal 3 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64)))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))))
(acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))
(/.f64 (*.f64 (sqrt.f64 t) x) y)
(*.f64 (sqrt.f64 t) x)
(sqrt.f64 t)
t
x
y
(/.f64 #s(literal 1/18 binary64) z)
#s(literal 1/18 binary64)
z
#s(literal 3 binary64)
Outputs
(pow.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal -1 binary64))
#s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
#s(literal 3 binary64)
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64))
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(/.f64 (sqrt.f64 t) z)
(sqrt.f64 t)
t
z
y
#s(literal 1/18 binary64)
x
#s(literal -1 binary64)
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z)))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (sqrt.f64 t) #s(literal 18 binary64)) (/.f64 (/.f64 x y) z))))
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z))))
(acos.f64 (*.f64 (/.f64 (sqrt.f64 t) #s(literal 18 binary64)) (/.f64 (/.f64 x y) z)))
(*.f64 (sqrt.f64 t) (/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z)))
(*.f64 (/.f64 (sqrt.f64 t) #s(literal 18 binary64)) (/.f64 (/.f64 x y) z))
(sqrt.f64 t)
t
(/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z))
(/.f64 x (*.f64 (*.f64 #s(literal 18 binary64) y) z))
x
(*.f64 (*.f64 y #s(literal 18 binary64)) z)
(*.f64 (*.f64 #s(literal 18 binary64) y) z)
(*.f64 y #s(literal 18 binary64))
(*.f64 #s(literal 18 binary64) y)
y
#s(literal 18 binary64)
z
#s(literal 1/3 binary64)
(fma.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(fma.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(asin.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)))
(asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x)
(*.f64 (*.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
x
(*.f64 z y)
(*.f64 y z)
z
y
#s(literal -1/3 binary64)
(*.f64 #s(literal 1/6 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(PI.f64)
(/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(/.f64 (*.f64 (sqrt.f64 t) x) y)
(*.f64 (sqrt.f64 t) x)
(sqrt.f64 t)
t
x
y
(/.f64 #s(literal 1/18 binary64) z)
#s(literal 1/18 binary64)
z
#s(literal 3 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))))
(pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal -1 binary64))
(acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(/.f64 (*.f64 (sqrt.f64 t) x) y)
(*.f64 (sqrt.f64 t) x)
(sqrt.f64 t)
t
x
y
(/.f64 #s(literal 1/18 binary64) z)
#s(literal 1/18 binary64)
z
#s(literal 3 binary64)

localize163.0ms (0.6%)

Memory
20.7MiB live, 221.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.3125
(/.f64 #s(literal 1/18 binary64) z)
accuracy0.94921875
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64)))
accuracy4.089834930081612
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))
accuracy4.65123077667091
(/.f64 (*.f64 (sqrt.f64 t) x) y)
accuracy0.3125
(/.f64 #s(literal 1/18 binary64) z)
accuracy0.95703125
(/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))
accuracy4.089834930081612
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))
accuracy4.65123077667091
(/.f64 (*.f64 (sqrt.f64 t) x) y)
accuracy0.2578125
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x)
accuracy0.42578125
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
accuracy1.0
(*.f64 #s(literal 1/6 binary64) (PI.f64))
accuracy7.3973497405979325
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))
accuracy0.171875
(*.f64 (*.f64 y #s(literal 18 binary64)) z)
accuracy0.9609375
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z)))) #s(literal 1/3 binary64))
accuracy2.969987671792255
(*.f64 (sqrt.f64 t) (/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z)))
accuracy4.284831862750545
(/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z))
accuracy0.2265625
(/.f64 (sqrt.f64 t) z)
accuracy0.26953125
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64))
accuracy2.1765181348151654
(/.f64 (/.f64 (sqrt.f64 t) z) y)
accuracy4.247070311309486
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
Samples
114.0ms256×0valid
Compiler

Compiled 359 to 52 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
ival-mult: 33.0ms (38.2% of total)
ival-div: 18.0ms (20.9% of total)
const: 12.0ms (13.9% of total)
ival-acos: 8.0ms (9.3% of total)
ival-sqrt: 5.0ms (5.8% of total)
ival-pow: 4.0ms (4.6% of total)
ival-asin: 2.0ms (2.3% of total)
ival-pi: 1.0ms (1.2% of total)
ival-add: 1.0ms (1.2% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series81.0ms (0.3%)

Memory
-17.2MiB live, 141.8MiB allocated
Counts
27 → 1 020
Calls
Call 1
Inputs
#s(alt (pow.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal -1 binary64)) (patch (pow.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) (patch #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))) (patch (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))) #<representation binary64>) () ())
#s(alt (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) (patch (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #<representation binary64>) () ())
#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z)))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z)))) (patch (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 t) (patch (sqrt.f64 t) #<representation binary64>) () ())
#s(alt (/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z)) (patch (/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z)) #<representation binary64>) () ())
#s(alt (fma.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64))) (patch (fma.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64))) #<representation binary64>) () ())
#s(alt (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) (patch (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (patch (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (patch (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) #<representation binary64>) () ())
#s(alt (/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)) (patch (/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (patch (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)) (patch (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (sqrt.f64 t) x) y) (patch (/.f64 (*.f64 (sqrt.f64 t) x) y) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) (patch (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (sqrt.f64 t) z) y) (patch (/.f64 (/.f64 (sqrt.f64 t) z) y) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) (patch (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 t) z) (patch (/.f64 (sqrt.f64 t) z) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z))) (patch (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y #s(literal 18 binary64)) z) (patch (*.f64 (*.f64 y #s(literal 18 binary64)) z) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)) (patch (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/6 binary64) (PI.f64)) (patch (*.f64 #s(literal 1/6 binary64) (PI.f64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/18 binary64) z) (patch (/.f64 #s(literal 1/18 binary64) z) #<representation binary64>) () ())
Outputs
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (pow.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal -1 binary64)) (patch (pow.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (pow.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal -1 binary64)) (patch (pow.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (pow.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal -1 binary64)) (patch (pow.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (pow.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal -1 binary64)) (patch (pow.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)) (patch (/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)) (patch (/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor -inf x) (#s(alt (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (patch (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor -inf x) (#s(alt (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (patch (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor -inf x) (#s(alt (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (patch (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor -inf x) (#s(alt (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (patch (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)) (patch (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)) (patch (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)) (patch (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)) (patch (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt t) (/ x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sqrt.f64 t) x) y) (patch (/.f64 (*.f64 (sqrt.f64 t) x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt t) (/ x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sqrt.f64 t) x) y) (patch (/.f64 (*.f64 (sqrt.f64 t) x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt t) (/ x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sqrt.f64 t) x) y) (patch (/.f64 (*.f64 (sqrt.f64 t) x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt t) (/ x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sqrt.f64 t) x) y) (patch (/.f64 (*.f64 (sqrt.f64 t) x) y) #<representation binary64>) () ())) ())
#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) (patch (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) (patch (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) (patch (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) (patch (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z))) (patch (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z))) (patch (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z))) (patch (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z))) (patch (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)) (patch (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)) (patch (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)) (patch (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)) (patch (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
7.0ms
t
@0
((pow (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) -1) (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/ 3 (acos (* (* (/ (/ (sqrt t) z) y) 1/18) x))) (acos (* (* (/ (/ (sqrt t) z) y) 1/18) x)) (* (acos (* (sqrt t) (/ x (* (* y 18) z)))) 1/3) (acos (* (sqrt t) (/ x (* (* y 18) z)))) (sqrt t) (/ x (* (* y 18) z)) (+ (* (asin (/ (* (* 1/18 (sqrt t)) x) (* z y))) -1/3) (* 1/6 (PI))) (asin (/ (* (* 1/18 (sqrt t)) x) (* z y))) (* (* 1/18 (sqrt t)) x) (* 1/18 (sqrt t)) (/ (acos (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3) (acos (* (/ (* (sqrt t) x) y) (/ 1/18 z))) (* (/ (* (sqrt t) x) y) (/ 1/18 z)) (/ (* (sqrt t) x) y) (* (/ 1 (acos (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) 3) (/ 1 (* (/ 1 (acos (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) 3)) (* (* (/ (/ (sqrt t) z) y) 1/18) x) (/ (/ (sqrt t) z) y) (* (/ (/ (sqrt t) z) y) 1/18) (/ (sqrt t) z) (* (sqrt t) (/ x (* (* y 18) z))) (* (* y 18) z) (/ (* (* 1/18 (sqrt t)) x) (* z y)) (* 1/6 (PI)) (/ 1/18 z))
5.0ms
t
@-inf
((pow (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) -1) (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/ 3 (acos (* (* (/ (/ (sqrt t) z) y) 1/18) x))) (acos (* (* (/ (/ (sqrt t) z) y) 1/18) x)) (* (acos (* (sqrt t) (/ x (* (* y 18) z)))) 1/3) (acos (* (sqrt t) (/ x (* (* y 18) z)))) (sqrt t) (/ x (* (* y 18) z)) (+ (* (asin (/ (* (* 1/18 (sqrt t)) x) (* z y))) -1/3) (* 1/6 (PI))) (asin (/ (* (* 1/18 (sqrt t)) x) (* z y))) (* (* 1/18 (sqrt t)) x) (* 1/18 (sqrt t)) (/ (acos (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3) (acos (* (/ (* (sqrt t) x) y) (/ 1/18 z))) (* (/ (* (sqrt t) x) y) (/ 1/18 z)) (/ (* (sqrt t) x) y) (* (/ 1 (acos (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) 3) (/ 1 (* (/ 1 (acos (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) 3)) (* (* (/ (/ (sqrt t) z) y) 1/18) x) (/ (/ (sqrt t) z) y) (* (/ (/ (sqrt t) z) y) 1/18) (/ (sqrt t) z) (* (sqrt t) (/ x (* (* y 18) z))) (* (* y 18) z) (/ (* (* 1/18 (sqrt t)) x) (* z y)) (* 1/6 (PI)) (/ 1/18 z))
4.0ms
y
@0
((pow (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) -1) (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/ 3 (acos (* (* (/ (/ (sqrt t) z) y) 1/18) x))) (acos (* (* (/ (/ (sqrt t) z) y) 1/18) x)) (* (acos (* (sqrt t) (/ x (* (* y 18) z)))) 1/3) (acos (* (sqrt t) (/ x (* (* y 18) z)))) (sqrt t) (/ x (* (* y 18) z)) (+ (* (asin (/ (* (* 1/18 (sqrt t)) x) (* z y))) -1/3) (* 1/6 (PI))) (asin (/ (* (* 1/18 (sqrt t)) x) (* z y))) (* (* 1/18 (sqrt t)) x) (* 1/18 (sqrt t)) (/ (acos (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3) (acos (* (/ (* (sqrt t) x) y) (/ 1/18 z))) (* (/ (* (sqrt t) x) y) (/ 1/18 z)) (/ (* (sqrt t) x) y) (* (/ 1 (acos (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) 3) (/ 1 (* (/ 1 (acos (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) 3)) (* (* (/ (/ (sqrt t) z) y) 1/18) x) (/ (/ (sqrt t) z) y) (* (/ (/ (sqrt t) z) y) 1/18) (/ (sqrt t) z) (* (sqrt t) (/ x (* (* y 18) z))) (* (* y 18) z) (/ (* (* 1/18 (sqrt t)) x) (* z y)) (* 1/6 (PI)) (/ 1/18 z))
3.0ms
y
@-inf
((pow (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) -1) (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/ 3 (acos (* (* (/ (/ (sqrt t) z) y) 1/18) x))) (acos (* (* (/ (/ (sqrt t) z) y) 1/18) x)) (* (acos (* (sqrt t) (/ x (* (* y 18) z)))) 1/3) (acos (* (sqrt t) (/ x (* (* y 18) z)))) (sqrt t) (/ x (* (* y 18) z)) (+ (* (asin (/ (* (* 1/18 (sqrt t)) x) (* z y))) -1/3) (* 1/6 (PI))) (asin (/ (* (* 1/18 (sqrt t)) x) (* z y))) (* (* 1/18 (sqrt t)) x) (* 1/18 (sqrt t)) (/ (acos (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3) (acos (* (/ (* (sqrt t) x) y) (/ 1/18 z))) (* (/ (* (sqrt t) x) y) (/ 1/18 z)) (/ (* (sqrt t) x) y) (* (/ 1 (acos (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) 3) (/ 1 (* (/ 1 (acos (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) 3)) (* (* (/ (/ (sqrt t) z) y) 1/18) x) (/ (/ (sqrt t) z) y) (* (/ (/ (sqrt t) z) y) 1/18) (/ (sqrt t) z) (* (sqrt t) (/ x (* (* y 18) z))) (* (* y 18) z) (/ (* (* 1/18 (sqrt t)) x) (* z y)) (* 1/6 (PI)) (/ 1/18 z))
3.0ms
t
@inf
((pow (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) -1) (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/ 3 (acos (* (* (/ (/ (sqrt t) z) y) 1/18) x))) (acos (* (* (/ (/ (sqrt t) z) y) 1/18) x)) (* (acos (* (sqrt t) (/ x (* (* y 18) z)))) 1/3) (acos (* (sqrt t) (/ x (* (* y 18) z)))) (sqrt t) (/ x (* (* y 18) z)) (+ (* (asin (/ (* (* 1/18 (sqrt t)) x) (* z y))) -1/3) (* 1/6 (PI))) (asin (/ (* (* 1/18 (sqrt t)) x) (* z y))) (* (* 1/18 (sqrt t)) x) (* 1/18 (sqrt t)) (/ (acos (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3) (acos (* (/ (* (sqrt t) x) y) (/ 1/18 z))) (* (/ (* (sqrt t) x) y) (/ 1/18 z)) (/ (* (sqrt t) x) y) (* (/ 1 (acos (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) 3) (/ 1 (* (/ 1 (acos (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) 3)) (* (* (/ (/ (sqrt t) z) y) 1/18) x) (/ (/ (sqrt t) z) y) (* (/ (/ (sqrt t) z) y) 1/18) (/ (sqrt t) z) (* (sqrt t) (/ x (* (* y 18) z))) (* (* y 18) z) (/ (* (* 1/18 (sqrt t)) x) (* z y)) (* 1/6 (PI)) (/ 1/18 z))

simplify151.0ms (0.6%)

Memory
23.0MiB live, 215.4MiB allocated
Algorithm
1×egg-herbie
Rules
4 058×lower-*.f64
4 058×lower-*.f32
2 670×lower-/.f32
2 670×lower-/.f64
2 386×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06811088
114710704
240010656
3198410656
4527310656
5707410656
0840110608
Stop Event
1×iter limit
1×node limit
Counts
1 020 → 1 020
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))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (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)))))
(* 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))))))
(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)))))
(sqrt t)
(sqrt t)
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 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))))))
(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)))))
(* 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))))
(* (sqrt t) (/ x y))
(* (sqrt t) (/ x y))
(* (sqrt t) (/ x y))
(* (sqrt t) (/ x y))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 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))))))
(* 1/18 (* (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))))
(* 1/3 (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))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (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)))))
(* 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))))))
(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)))))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 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))))))
(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)))))
(* 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))))
(* (sqrt t) (/ x y))
(* (sqrt t) (/ x y))
(* (sqrt t) (/ x y))
(* (sqrt t) (/ x y))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 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))))))
(* 1/18 (* (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))))
(* 1/3 (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))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (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)))))
(* 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))))))
(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)))))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 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))))))
(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)))))
(* 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))))
(* (sqrt t) (/ x y))
(* (sqrt t) (/ x y))
(* (sqrt t) (/ x y))
(* (sqrt t) (/ x y))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 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))))))
(* 1/18 (* (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))))
Outputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(sqrt t)
(sqrt.f64 t)
(sqrt t)
(sqrt.f64 t)
(sqrt t)
(sqrt.f64 t)
(sqrt t)
(sqrt.f64 t)
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 (asin.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 (asin.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 (asin.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 (asin.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(* 1/18 (* (sqrt t) x))
(*.f64 (*.f64 x (sqrt.f64 t)) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) x))
(*.f64 (*.f64 x (sqrt.f64 t)) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) x))
(*.f64 (*.f64 x (sqrt.f64 t)) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) x))
(*.f64 (*.f64 x (sqrt.f64 t)) #s(literal 1/18 binary64))
(* 1/18 (sqrt t))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
(* 1/18 (sqrt t))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
(* 1/18 (sqrt t))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
(* 1/18 (sqrt t))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(* (sqrt t) (/ x y))
(/.f64 (*.f64 x (sqrt.f64 t)) y)
(* (sqrt t) (/ x y))
(/.f64 (*.f64 x (sqrt.f64 t)) y)
(* (sqrt t) (/ x y))
(/.f64 (*.f64 x (sqrt.f64 t)) y)
(* (sqrt t) (/ x y))
(/.f64 (*.f64 x (sqrt.f64 t)) y)
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(/.f64 (*.f64 x (sqrt.f64 t)) y)
(* (sqrt t) (/ x y))
(/.f64 (*.f64 x (sqrt.f64 t)) y)
(* (sqrt t) (/ x y))
(/.f64 (*.f64 x (sqrt.f64 t)) y)
(* (sqrt t) (/ x y))
(/.f64 (*.f64 x (sqrt.f64 t)) y)
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 (/.f64 x z) y) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 (/.f64 x z) y) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 (/.f64 x z) y) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 (/.f64 x z) y) #s(literal 1/18 binary64))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 (asin.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 (asin.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 (asin.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 (asin.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(* 1/18 (* (sqrt t) x))
(*.f64 (*.f64 x (sqrt.f64 t)) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) x))
(*.f64 (*.f64 x (sqrt.f64 t)) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) x))
(*.f64 (*.f64 x (sqrt.f64 t)) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) x))
(*.f64 (*.f64 x (sqrt.f64 t)) #s(literal 1/18 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(* (sqrt t) (/ x y))
(/.f64 (*.f64 x (sqrt.f64 t)) y)
(* (sqrt t) (/ x y))
(/.f64 (*.f64 x (sqrt.f64 t)) y)
(* (sqrt t) (/ x y))
(/.f64 (*.f64 x (sqrt.f64 t)) y)
(* (sqrt t) (/ x y))
(/.f64 (*.f64 x (sqrt.f64 t)) y)
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))

rewrite369.0ms (1.4%)

Memory
-40.2MiB live, 350.9MiB allocated
Rules
5 122×lower-*.f32
5 096×lower-*.f64
3 732×lower-fma.f32
3 730×lower-fma.f64
2 818×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052285
084279
1265275
21400275
08445275
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
27 → 2 033
Calls
Call 1
Inputs
(pow.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal -1 binary64))
#s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z))))
(sqrt.f64 t)
(/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z))
(fma.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(asin.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x)
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))
(acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))
(/.f64 (*.f64 (sqrt.f64 t) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64)))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64))
(/.f64 (sqrt.f64 t) z)
(*.f64 (sqrt.f64 t) (/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z)))
(*.f64 (*.f64 y #s(literal 18 binary64)) z)
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))
(*.f64 #s(literal 1/6 binary64) (PI.f64))
(/.f64 #s(literal 1/18 binary64) z)
Outputs
(*.f64 (*.f64 (pow.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal -1/4 binary64))) (pow.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal -1/4 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal -1/2 binary64))) (pow.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
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(*.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal -1 binary64)))
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(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))))))
(pow.f64 (pow.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal -1 binary64))
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(/.f64 #s(literal 1 binary64) #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))))))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))))))
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(exp.f64 (neg.f64 (log.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))))))
(*.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal 1 binary64))
#s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))))
(/.f64 (neg.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal -1 binary64)))
(/.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal 1 binary64))
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(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal -1/2 binary64)))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))
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(*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal -1/2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal -1/2 binary64)))
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(pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64)) #s(literal -1 binary64))
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(/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 (/.f64 (neg.f64 y) x) (neg.f64 z)))
(/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 (/.f64 y x) z))
(/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 z (/.f64 y x)))
(/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 (*.f64 #s(literal 18 binary64) y) x))
(/.f64 (sqrt.f64 t) (*.f64 (/.f64 (*.f64 #s(literal 18 binary64) y) x) z))
(/.f64 (sqrt.f64 t) (*.f64 (*.f64 #s(literal 18 binary64) z) (/.f64 y x)))
(/.f64 (sqrt.f64 t) (*.f64 (/.f64 y x) (*.f64 #s(literal 18 binary64) z)))
(/.f64 (sqrt.f64 t) (/.f64 (*.f64 (*.f64 #s(literal 18 binary64) y) z) x))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 18 binary64) y) x) (/.f64 (neg.f64 z) (sqrt.f64 t))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x)) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y (*.f64 (sqrt.f64 t) x)) (*.f64 #s(literal -18 binary64) z)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 y (sqrt.f64 t)) (neg.f64 x)) (*.f64 #s(literal 18 binary64) z)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 z) (sqrt.f64 t)) (/.f64 (*.f64 #s(literal 18 binary64) y) x)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 z (sqrt.f64 t)) #s(literal -1/18 binary64)) (/.f64 y x)))
(/.f64 (/.f64 x y) (*.f64 (/.f64 z (sqrt.f64 t)) #s(literal 18 binary64)))
(/.f64 x (neg.f64 (*.f64 (neg.f64 y) (*.f64 (/.f64 z (sqrt.f64 t)) #s(literal 18 binary64)))))
(/.f64 x (neg.f64 (*.f64 (*.f64 (/.f64 z (sqrt.f64 t)) #s(literal 18 binary64)) (neg.f64 y))))
(/.f64 x (*.f64 (/.f64 (neg.f64 z) (sqrt.f64 t)) (*.f64 #s(literal -18 binary64) y)))
(/.f64 x (*.f64 (/.f64 (/.f64 z (sqrt.f64 t)) #s(literal -1/18 binary64)) (neg.f64 y)))
(/.f64 x (*.f64 y (*.f64 (/.f64 z (sqrt.f64 t)) #s(literal 18 binary64))))
(/.f64 x (*.f64 (*.f64 (/.f64 z (sqrt.f64 t)) #s(literal 18 binary64)) y))
(/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (sqrt.f64 t)) (/.f64 y x))
(/.f64 #s(literal 1/18 binary64) (neg.f64 (*.f64 (neg.f64 z) (/.f64 y (*.f64 (sqrt.f64 t) x)))))
(/.f64 #s(literal 1/18 binary64) (neg.f64 (*.f64 (/.f64 y (*.f64 (sqrt.f64 t) x)) (neg.f64 z))))
(/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 y (sqrt.f64 t)) (neg.f64 x)) (neg.f64 z)))
(/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 y x) (/.f64 z (sqrt.f64 t))))
(/.f64 #s(literal 1/18 binary64) (*.f64 (neg.f64 z) (/.f64 (/.f64 y (sqrt.f64 t)) (neg.f64 x))))
(/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 y x)))
(/.f64 #s(literal 1/18 binary64) (*.f64 z (/.f64 y (*.f64 (sqrt.f64 t) x))))
(/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 y (*.f64 (sqrt.f64 t) x)) z))
(neg.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y))
(neg.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) y)) z))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (sqrt.f64 t)) (*.f64 (*.f64 #s(literal 18 binary64) y) z)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 y (*.f64 (sqrt.f64 t) x)) #s(literal 18 binary64)) z)))
(neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) z) (neg.f64 y)))
(neg.f64 (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) #s(literal 1/18 binary64)) (neg.f64 z)))
(neg.f64 (/.f64 (/.f64 #s(literal -1/18 binary64) z) (/.f64 y (*.f64 (sqrt.f64 t) x))))
(neg.f64 (/.f64 (/.f64 (*.f64 (neg.f64 x) (sqrt.f64 t)) y) (*.f64 #s(literal 18 binary64) z)))
(neg.f64 (/.f64 (/.f64 (neg.f64 x) y) (*.f64 (/.f64 z (sqrt.f64 t)) #s(literal 18 binary64))))
(neg.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 y x)))
(neg.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (/.f64 (neg.f64 (sqrt.f64 t)) z) y)))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))))
(neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z))))
(neg.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t)))
(neg.f64 (*.f64 (/.f64 (/.f64 (neg.f64 (sqrt.f64 t)) z) y) (*.f64 x #s(literal 1/18 binary64))))
(neg.f64 (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 #s(literal -18 binary64) (*.f64 y z))))
(neg.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -18 binary64) (*.f64 y z))) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 #s(literal -18 binary64) (*.f64 y z))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) y)) (*.f64 (/.f64 #s(literal -1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 y (*.f64 (sqrt.f64 t) x)) #s(literal 18 binary64)) z)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 (PI.f64) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (PI.f64))
(*.f64 (pow.f64 (*.f64 #s(literal 18 binary64) z) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 18 binary64) z) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/18 binary64))
(*.f64 #s(literal -1/18 binary64) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/18 binary64) z))
(*.f64 #s(literal 1/18 binary64) (pow.f64 z #s(literal -1 binary64)))
(pow.f64 (*.f64 #s(literal 18 binary64) z) #s(literal -1 binary64))
(/.f64 #s(literal -1/18 binary64) (neg.f64 z))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 18 binary64) z))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -18 binary64) z))
(/.f64 #s(literal 1/18 binary64) z)
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/18 binary64) z)))
(neg.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) z) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 18 binary64) z)))
(neg.f64 (/.f64 #s(literal -1/18 binary64) z))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/18 binary64) z))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 18 binary64) z)) #s(literal -1 binary64)))

eval3.4s (12.6%)

Memory
28.1MiB live, 874.3MiB allocated
Compiler

Compiled 69 525 to 7 480 computations (89.2% saved)

prune842.0ms (3.1%)

Memory
-11.6MiB live, 600.4MiB allocated
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New3 70843 712
Fresh011
Picked325
Done011
Total3 71183 719
Accuracy
100.0%
Counts
3 719 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
99.2%
(fma.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
✓97.2%
(fma.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
97.8%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal 9 binary64))
97.2%
(/.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z))) #s(literal 3 binary64))
97.2%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z)))) #s(literal 3 binary64)))
✓98.3%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z)))) #s(literal 1/3 binary64))
✓98.5%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
Compiler

Compiled 503 to 257 computations (48.9% saved)

regimes135.0ms (0.5%)

Memory
15.0MiB live, 132.2MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z)))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
(/.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z))) #s(literal 3 binary64))
(fma.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
(/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))
(fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z)))) #s(literal 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))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal 9 binary64))
(fma.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(pow.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)))
(pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
Outputs
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)))
Calls

13 calls:

37.0ms
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
21.0ms
(*.f64 y #s(literal 27 binary64))
19.0ms
z
6.0ms
(*.f64 z #s(literal 2 binary64))
6.0ms
t
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 83 to 108 computations (-30.1% saved)

regimes196.0ms (0.7%)

Memory
8.0MiB live, 121.2MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z)))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
(/.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z))) #s(literal 3 binary64))
(fma.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
(/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))
(fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z)))) #s(literal 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))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal 9 binary64))
(fma.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(pow.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)))
(pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))
Outputs
(pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))
Calls

13 calls:

55.0ms
(*.f64 z #s(literal 2 binary64))
46.0ms
t
42.0ms
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
6.0ms
(sqrt.f64 t)
6.0ms
(*.f64 y #s(literal 27 binary64))
Results
AccuracySegmentsBranch
99.2%1x
99.2%1y
99.2%1z
99.2%1t
99.2%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))))
99.2%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)))
99.2%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))
99.2%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
99.2%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
99.2%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
99.2%1(*.f64 y #s(literal 27 binary64))
99.2%1(*.f64 z #s(literal 2 binary64))
99.2%1(sqrt.f64 t)
Compiler

Compiled 83 to 108 computations (-30.1% saved)

regimes140.0ms (0.5%)

Memory
4.7MiB live, 87.5MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z)))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
(/.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z))) #s(literal 3 binary64))
(fma.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
(/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))
(fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z)))) #s(literal 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))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal 9 binary64))
(fma.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(pow.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)))
Outputs
(fma.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
Calls

13 calls:

44.0ms
(*.f64 z #s(literal 2 binary64))
39.0ms
(*.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))))
5.0ms
(*.f64 y #s(literal 27 binary64))
5.0ms
(sqrt.f64 t)
5.0ms
x
Results
AccuracySegmentsBranch
99.2%1x
99.2%1y
99.2%1z
99.2%1t
99.2%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))))
99.2%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)))
99.2%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))
99.2%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
99.2%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
99.2%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
99.2%1(*.f64 y #s(literal 27 binary64))
99.2%1(*.f64 z #s(literal 2 binary64))
99.2%1(sqrt.f64 t)
Compiler

Compiled 83 to 108 computations (-30.1% saved)

regimes172.0ms (0.6%)

Memory
-29.1MiB live, 88.5MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z)))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
(/.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z))) #s(literal 3 binary64))
(fma.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
(/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))
(fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z)))) #s(literal 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))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal 9 binary64))
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))))
Calls

13 calls:

49.0ms
x
43.0ms
(sqrt.f64 t)
39.0ms
(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)))
4.0ms
(*.f64 z #s(literal 2 binary64))
4.0ms
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 83 to 108 computations (-30.1% saved)

regimes137.0ms (0.5%)

Memory
3.2MiB live, 80.8MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z)))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
(/.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z))) #s(literal 3 binary64))
(fma.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
(/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))
(fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z)))) #s(literal 3 binary64)))
Outputs
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
Calls

13 calls:

53.0ms
x
46.0ms
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
3.0ms
(*.f64 y #s(literal 27 binary64))
3.0ms
y
3.0ms
(sqrt.f64 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 83 to 108 computations (-30.1% saved)

regimes37.0ms (0.1%)

Memory
8.9MiB live, 48.4MiB allocated
Accuracy

Total -0.2b remaining (-17.2%)

Threshold costs -0.2b (-17.2%)

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

13 calls:

18.0ms
t
2.0ms
(sqrt.f64 t)
2.0ms
z
2.0ms
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
2.0ms
(*.f64 y #s(literal 27 binary64))
Results
AccuracySegmentsBranch
98.3%1x
98.3%1y
98.3%1z
98.3%1t
98.3%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))))
98.3%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)))
98.3%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))
98.3%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
98.3%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
98.3%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
98.3%1(*.f64 y #s(literal 27 binary64))
98.3%1(*.f64 z #s(literal 2 binary64))
98.3%1(sqrt.f64 t)
Compiler

Compiled 83 to 108 computations (-30.1% saved)

simplify57.0ms (0.2%)

Memory
10.2MiB live, 54.1MiB allocated
Algorithm
1×egg-herbie
Rules
52×*-commutative-binary64-*.f64
8×neg-sub0-binary64--.f64-neg.f64
8×+-commutative-binary64-+.f64
8×neg-mul-1-binary64-*.f64-neg.f64
8×sub-neg-binary64-neg.f64-+.f64--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063108
193108
2103108
3111108
4114108
5115108
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)))
(pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(*.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 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z)))) #s(literal 1/3 binary64))
Outputs
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 #s(literal 1/3 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64)) (sqrt.f64 t)))))
(pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(*.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 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) z)) (sqrt.f64 t))) (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z)))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 (*.f64 #s(literal 18 binary64) y) z)) (sqrt.f64 t))) #s(literal 1/3 binary64))

soundness848.0ms (3.2%)

Memory
-30.1MiB live, 590.0MiB allocated
Rules
5 832×lower-*.f32
5 822×lower-*.f64
5 344×lower-*.f32
5 320×lower-*.f64
5 290×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052285
084279
1265275
21400275
08445275
01850
02950
16942
238736
3374236
0821436
042233
074232
1229204
21465204
08521204
045249
075220
1230213
21471207
08205207
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 417 to 253 computations (39.3% saved)

preprocess169.0ms (0.6%)

Memory
-16.8MiB live, 183.6MiB allocated
Compiler

Compiled 508 to 404 computations (20.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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