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

Time bar (total: 31.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze550.0ms (1.8%)

Memory
-100.2MiB live, 656.8MiB 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)

sample5.3s (17%)

Memory
61.2MiB live, 6 100.7MiB allocated
Samples
2.7s15 705×0invalid
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.1s
ival-mult: 1.3s (43% of total)
ival-div: 738.0ms (24% of total)
ival-sqrt: 674.0ms (21.9% of total)
ival-acos: 270.0ms (8.8% of total)
exact: 42.0ms (1.4% of total)
ival-true: 20.0ms (0.7% of total)
ival-assert: 10.0ms (0.3% of total)
Bogosity

explain204.0ms (0.7%)

Memory
19.4MiB live, 324.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
250-1(1.95874392317001e-309 -202.5136635514061 -9.470498770671206e-58 1.9866374107384183e+213)(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
110-4(-9.316602514396553e-106 3.0586289198429166e+266 -1.0379825320761847e-62 1.5436258455014295e+138)(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
10-0-(/.f64 x (*.f64 y #s(literal 27 binary64)))
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-#s(literal 27 binary64)
00-0-z
00-0-(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
00-0-(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
00-0-#s(literal 2 binary64)
00-0-(*.f64 z #s(literal 2 binary64))
00-0-(sqrt.f64 t)
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))u/n210
↳(/.f64 x (*.f64 y #s(literal 27 binary64)))underflow52
↳(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))underflow52
*.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*u70
/.f64(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))o/n30
↳(*.f64 y #s(literal 27 binary64))overflow1
↳(/.f64 x (*.f64 y #s(literal 27 binary64)))overflow3
↳(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))overflow3
/.f64(/.f64 x (*.f64 y #s(literal 27 binary64)))n/o10
↳(*.f64 y #s(literal 27 binary64))overflow1
Confusion
Predicted +Predicted -
+30
-29224
Precision
0.09375
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+300
-290224
Precision?
0.09375
Recall?
1.0
Freqs
test
numberfreq
0224
132
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
72.0ms512×0valid
Compiler

Compiled 207 to 58 computations (72% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-div: 20.0ms (43.4% of total)
ival-mult: 17.0ms (36.9% of total)
ival-sqrt: 4.0ms (8.7% of total)
ival-acos: 4.0ms (8.7% of total)
ival-true: 1.0ms (2.2% of total)
exact: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)

preprocess127.0ms (0.4%)

Memory
3.8MiB live, 108.6MiB 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) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1/3 binary64))
Symmetry

(sort y z)

Compiler

Compiled 23 to 18 computations (21.7% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶96.9%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify83.0ms (0.3%)

Memory
-13.9MiB live, 76.6MiB 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-diff704
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
Rules
2 044×lower-*.f32
2 034×lower-*.f64
1 368×associate-*r/
1 168×associate-*r*
1 118×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01886
02986
14976
212768
339468
4140168
5310068
6319068
7324168
8324168
9324168
10384068
11387968
12387968
0387968
Stop Event
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) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #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) (*.f64 z y)) (*.f64 (sqrt.f64 t) x)))
(*.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) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))
(/.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) (*.f64 z y)) x)
(*.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

localize38.0ms (0.1%)

Memory
24.0MiB live, 63.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.23046875
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
accuracy0.96875
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
accuracy2.3256289368245198
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
accuracy7.157079638048843
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
Samples
28.0ms256×0valid
Compiler

Compiled 92 to 20 computations (78.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 7.0ms (40% of total)
ival-div: 5.0ms (28.5% of total)
ival-acos: 3.0ms (17.1% of total)
ival-sqrt: 2.0ms (11.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series30.0ms (0.1%)

Memory
7.4MiB live, 45.9MiB 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>) () ())) ())
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#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#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>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
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
z
@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)))
2.0ms
t
@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)))

simplify132.0ms (0.4%)

Memory
-11.8MiB live, 103.1MiB 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 #s(literal 1/18 binary64) (*.f64 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 #s(literal 1/18 binary64) (*.f64 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 #s(literal 1/18 binary64) (*.f64 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 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 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 #s(literal 1/18 binary64) (*.f64 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 #s(literal 1/18 binary64) (*.f64 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 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* 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 #s(literal 1/18 binary64) (*.f64 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 #s(literal 1/18 binary64) (*.f64 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 #s(literal 1/18 binary64) (*.f64 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 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* 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 #s(literal 1/18 binary64) (*.f64 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 #s(literal 1/18 binary64) (*.f64 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 #s(literal 1/18 binary64) (*.f64 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 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* 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 #s(literal 1/18 binary64) (*.f64 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 #s(literal 1/18 binary64) (*.f64 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 #s(literal 1/18 binary64) (*.f64 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 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* 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 #s(literal 1/18 binary64) (*.f64 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 #s(literal 1/18 binary64) (*.f64 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 #s(literal 1/18 binary64) (*.f64 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 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* 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 #s(literal 1/18 binary64) (*.f64 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 #s(literal 1/18 binary64) (*.f64 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 #s(literal 1/18 binary64) (*.f64 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 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* 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 #s(literal 1/18 binary64) (*.f64 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 #s(literal 1/18 binary64) (*.f64 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 #s(literal 1/18 binary64) (*.f64 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 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* 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 #s(literal 1/18 binary64) (*.f64 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 #s(literal 1/18 binary64) (*.f64 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 #s(literal 1/18 binary64) (*.f64 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 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* 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 #s(literal 1/18 binary64) (*.f64 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 #s(literal 1/18 binary64) (*.f64 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 #s(literal 1/18 binary64) (*.f64 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 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* 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 #s(literal 1/18 binary64) (*.f64 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 #s(literal 1/18 binary64) (*.f64 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 #s(literal 1/18 binary64) (*.f64 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 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))

rewrite201.0ms (0.6%)

Memory
22.3MiB live, 213.1MiB 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)) (/.f64 #s(literal 1 binary64) y))
(*.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)) (/.f64 #s(literal 1 binary64) y))
(*.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 (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 z y)))) #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)) (/.f64 #s(literal 1 binary64) y))
(*.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)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/9 binary64) (/.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) z))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 #s(literal -54 binary64) y))))
(*.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 #s(literal 1/27 binary64) (*.f64 z y)))
(*.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 #s(literal 1/27 binary64) (*.f64 z y)))
(*.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 (*.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) x) #s(literal 27 binary64)) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) x) #s(literal 27 binary64)) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) (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))
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(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (sqrt.f64 t)) #s(literal 1 binary64)) (*.f64 #s(literal 54 binary64) (/.f64 y x)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) (/.f64 x y)) (*.f64 z #s(literal 54 binary64)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) (*.f64 #s(literal 1/54 binary64) (/.f64 x y))) z)
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) (neg.f64 x)) (*.f64 z (*.f64 #s(literal -54 binary64) y)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 z #s(literal 54 binary64)) (/.f64 y x)))
(/.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y))) (sqrt.f64 t)) z)
(/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/9 binary64)) (/.f64 x y)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) z))
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3/2 binary64) z))) (*.f64 #s(literal 27 binary64) y))
(/.f64 (*.f64 (sqrt.f64 t) (neg.f64 (/.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 z y)))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)) z)) (/.f64 (*.f64 #s(literal 27 binary64) y) x))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (sqrt.f64 t)) (/.f64 x (*.f64 #s(literal 27 binary64) y))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (sqrt.f64 t)) x) (*.f64 #s(literal 54 binary64) y))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) x) (*.f64 (*.f64 #s(literal 54 binary64) y) z))
(/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/9 binary64)) (/.f64 x y)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) z))
(/.f64 (*.f64 (sqrt.f64 t) #s(literal -1 binary64)) (*.f64 #s(literal -2/3 binary64) (*.f64 z (/.f64 (*.f64 #s(literal 27 binary64) y) x))))
(/.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z #s(literal 2/3 binary64)) x)) (*.f64 #s(literal 27 binary64) y))
(/.f64 (/.f64 (sqrt.f64 t) #s(literal 2/3 binary64)) (*.f64 z (/.f64 (*.f64 #s(literal 27 binary64) y) x)))
(/.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 (*.f64 #s(literal 27 binary64) y) x))) #s(literal 2/3 binary64))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 3/2 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y))))) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 z y)) (sqrt.f64 t))) #s(literal -2 binary64))
(/.f64 (neg.f64 (sqrt.f64 t)) (*.f64 #s(literal -2/3 binary64) (*.f64 z (/.f64 (*.f64 #s(literal 27 binary64) y) x))))
(/.f64 (*.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 54 binary64) y))
(/.f64 (*.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal -2 binary64) z)))
(/.f64 (*.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (*.f64 z (*.f64 #s(literal 27 binary64) y)))
(/.f64 (*.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 54 binary64) y) z))
(/.f64 (*.f64 (*.f64 x #s(literal 1/9 binary64)) (sqrt.f64 t)) (*.f64 y (*.f64 #s(literal 2 binary64) z)))
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) (sqrt.f64 t)) (*.f64 z #s(literal 54 binary64)))
(/.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) #s(literal 1/2 binary64)) z) (*.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 (*.f64 x #s(literal 1/9 binary64)) (*.f64 z y)) (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 #s(literal 54 binary64)) (/.f64 y x)))
(/.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 2/3 binary64) (/.f64 (*.f64 #s(literal 27 binary64) y) x)))
(/.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 (*.f64 #s(literal 2 binary64) z) (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64)))) (*.f64 #s(literal 27 binary64) 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 (*.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) x) #s(literal 27 binary64)) 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 (*.f64 x #s(literal 1/9 binary64)) (*.f64 z y)) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64)))) (*.f64 #s(literal 27 binary64) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64)))) (*.f64 #s(literal 27 binary64) 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 -3/2 binary64) (*.f64 x (/.f64 #s(literal 1/27 binary64) (*.f64 z y))))))
(neg.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 x (/.f64 #s(literal 1/27 binary64) (*.f64 z y)))) (sqrt.f64 t)))
(exp.f64 (fma.f64 (log.f64 t) #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) x) #s(literal 27 binary64)) y)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (*.f64 (*.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) x) #s(literal 27 binary64)) y)) #s(literal -1 binary64) (*.f64 (log.f64 t) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64)))) (*.f64 #s(literal 27 binary64) y))) #s(literal -1 binary64)))

eval104.0ms (0.3%)

Memory
-74.1MiB live, 180.9MiB allocated
Compiler

Compiled 12 544 to 2 580 computations (79.4% saved)

prune260.0ms (0.8%)

Memory
-0.7MiB live, 161.2MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New6686674
Fresh000
Picked101
Done000
Total6696675
Accuracy
98.5%
Counts
675 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.1%
(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 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))) #s(literal 1/3 binary64)))
98.1%
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) 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 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))))
▶98.1%
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))))))
▶98.1%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 1/3 binary64))
▶96.9%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
▶96.9%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64)))
Compiler

Compiled 384 to 236 computations (38.5% saved)

simplify131.0ms (0.4%)

Memory
0.7MiB live, 117.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 1/2 binary64) (PI.f64))
cost-diff128
(*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))) #s(literal 1/3 binary64))
cost-diff320
(/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))
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 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))) #s(literal 1/3 binary64)))
cost-diff0
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
cost-diff0
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
cost-diff320
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
cost-diff704
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
cost-diff0
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))
cost-diff0
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))
cost-diff0
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 1/3 binary64))
cost-diff320
(/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))
cost-diff0
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
cost-diff0
(acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))
cost-diff0
(*.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64))
cost-diff0
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64)))
cost-diff0
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64)))
cost-diff0
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))))))
cost-diff128
(*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
cost-diff320
(/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))
Rules
4 066×lower-*.f32
4 026×lower-*.f64
3 274×lower-fma.f32
3 268×lower-fma.f64
2 396×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063639
0101626
1179552
2410550
31019550
42573550
53183550
63776550
74463550
85756550
97038550
08389547
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))))))
(*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
#s(literal 1/8 binary64)
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))
(asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))
(sqrt.f64 t)
t
(*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))
x
(/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))
#s(literal 3 binary64)
(*.f64 (*.f64 #s(literal 54 binary64) y) z)
(*.f64 #s(literal 54 binary64) y)
#s(literal 54 binary64)
y
z
#s(literal 1/3 binary64)
(fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))))))
#s(literal 1/4 binary64)
(*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))))
#s(literal 1/2 binary64)
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(/.f64 #s(literal 1/18 binary64) (*.f64 z y))
#s(literal 1/18 binary64)
(*.f64 z y)
z
y
(*.f64 x (sqrt.f64 t))
x
(sqrt.f64 t)
t
#s(literal 1/3 binary64)
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))
(sqrt.f64 t)
t
(*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))
x
(/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))
#s(literal 3 binary64)
(*.f64 (*.f64 #s(literal 54 binary64) y) z)
(*.f64 #s(literal 54 binary64) y)
#s(literal 54 binary64)
y
z
#s(literal 1/3 binary64)
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
#s(literal 1/3 binary64)
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
#s(literal 3 binary64)
(/.f64 x (*.f64 y #s(literal 27 binary64)))
x
(*.f64 y #s(literal 27 binary64))
y
#s(literal 27 binary64)
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(sqrt.f64 t)
t
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) 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 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))) #s(literal 1/3 binary64))
(neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))))
(asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))
(sqrt.f64 t)
t
(*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))
x
(/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))
#s(literal 3 binary64)
(*.f64 (*.f64 #s(literal 54 binary64) y) z)
(*.f64 #s(literal 54 binary64) y)
#s(literal 54 binary64)
y
z
Outputs
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64)))
(-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))
(pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))
(asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))
(asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))
(*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(sqrt.f64 t)
t
(*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
x
(/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))
(/.f64 #s(literal 1/18 binary64) (*.f64 z y))
#s(literal 3 binary64)
(*.f64 (*.f64 #s(literal 54 binary64) y) z)
(*.f64 z (*.f64 y #s(literal 54 binary64)))
(*.f64 #s(literal 54 binary64) y)
(*.f64 y #s(literal 54 binary64))
#s(literal 54 binary64)
y
z
#s(literal 1/3 binary64)
(fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))
#s(literal 1/4 binary64)
(*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
#s(literal 1/2 binary64)
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))
(acos.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(/.f64 #s(literal 1/18 binary64) (*.f64 z y))
#s(literal 1/18 binary64)
(*.f64 z y)
z
y
(*.f64 x (sqrt.f64 t))
x
(sqrt.f64 t)
t
#s(literal 1/3 binary64)
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))
(acos.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))
(*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(sqrt.f64 t)
t
(*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
x
(/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))
(/.f64 #s(literal 1/18 binary64) (*.f64 z y))
#s(literal 3 binary64)
(*.f64 (*.f64 #s(literal 54 binary64) y) z)
(*.f64 z (*.f64 y #s(literal 54 binary64)))
(*.f64 #s(literal 54 binary64) y)
(*.f64 y #s(literal 54 binary64))
#s(literal 54 binary64)
y
z
#s(literal 1/3 binary64)
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(*.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(acos.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 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 x (*.f64 z y)) (*.f64 #s(literal 1/18 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 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
(*.f64 (/.f64 #s(literal 1/9 binary64) y) x)
#s(literal 3 binary64)
(/.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
(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 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) (*.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 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))))
(neg.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))
(asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))
(*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(sqrt.f64 t)
t
(*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
x
(/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))
(/.f64 #s(literal 1/18 binary64) (*.f64 z y))
#s(literal 3 binary64)
(*.f64 (*.f64 #s(literal 54 binary64) y) z)
(*.f64 z (*.f64 y #s(literal 54 binary64)))
(*.f64 #s(literal 54 binary64) y)
(*.f64 y #s(literal 54 binary64))
#s(literal 54 binary64)
y
z

localize479.0ms (1.5%)

Memory
-3.0MiB live, 191.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.3664798497398728
(/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))
accuracy0.96484375
(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 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))) #s(literal 1/3 binary64)))
accuracy2.3256289368245198
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))
accuracy3.850269854104571
(*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))
accuracy0.23046875
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
accuracy0.96875
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
accuracy2.3256289368245198
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
accuracy7.157079638048843
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
accuracy0.3664798497398728
(/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))
accuracy0.96875
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 1/3 binary64))
accuracy2.3256289368245198
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))
accuracy3.850269854104571
(*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))
accuracy0.23828125
(*.f64 x (sqrt.f64 t))
accuracy0.45860860950831484
(/.f64 #s(literal 1/18 binary64) (*.f64 z y))
accuracy0.96875
(*.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64))
accuracy5.753940611644625
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
accuracy1.0
(*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
accuracy1.0
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
accuracy2.3256289368245198
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))
accuracy3.850269854104571
(*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))
Samples
361.0ms256×0valid
Compiler

Compiled 636 to 58 computations (90.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-mult: 33.0ms (46.6% of total)
ival-div: 10.0ms (14.1% of total)
const: 7.0ms (9.9% of total)
ival-acos: 6.0ms (8.5% of total)
ival-pow: 4.0ms (5.6% of total)
ival-add: 3.0ms (4.2% of total)
ival-asin: 2.0ms (2.8% of total)
ival-sqrt: 2.0ms (2.8% of total)
ival-pi: 1.0ms (1.4% of total)
ival-sub: 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)

series320.0ms (1%)

Memory
34.9MiB live, 138.1MiB allocated
Counts
23 → 888
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)) (patch (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))))))) (patch (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))))))) #<representation binary64>) () ())
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#s(alt #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64))) (patch #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) (patch (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))) (patch (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))) #<representation binary64>) () ())
#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (patch (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))) (patch (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (patch (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) (patch (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) #<representation binary64>) () ())
#s(alt (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))) (patch (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) 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 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))) #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))) #s(literal 1/3 binary64)) (patch (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) 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 (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))) (patch (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (patch (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (patch (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) #<representation binary64>) () ())
#s(alt (*.f64 x (sqrt.f64 t)) (patch (*.f64 x (sqrt.f64 t)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (taylor 0 t) (#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (taylor 0 t) (#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (taylor 0 t) (#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (taylor 0 t) (#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))))))) (patch (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))))))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))))))) (patch (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))))))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))))))) (patch (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))))))) #<representation binary64>) () ())) ())
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Calls

12 calls:

TimeVariablePointExpression
115.0ms
y
@inf
((/ 3 (* (* 54 y) z)) (* (- (* 1/8 (* (* (PI) (PI)) (PI))) (pow (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) 3)) 1/3) (/ (* (- (* 1/8 (* (* (PI) (PI)) (PI))) (pow (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) 3)) 1/3) (+ (* 1/4 (* (PI) (PI))) (* (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))))))) (- (* 1/8 (* (* (PI) (PI)) (PI))) (pow (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) 3)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (/ 1/18 (* z y)) (* x (sqrt t)))) 1/3) (acos (* (/ 1/18 (* z y)) (* x (sqrt t)))) (* (/ 1/18 (* z y)) (* x (sqrt t))) (* (acos (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) 1/3) (acos (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) (* (sqrt t) (* x (/ 3 (* (* 54 y) z)))) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (+ (* (* 1/2 (PI)) 1/3) (* (neg (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z)))))) 1/3)) (* (neg (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z)))))) 1/3) (* 1/2 (PI)) (* x (/ 3 (* (* 54 y) z))) (* (* (PI) (PI)) (PI)) (/ 1/18 (* z y)) (* x (sqrt t)) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
9.0ms
t
@0
((/ 3 (* (* 54 y) z)) (* (- (* 1/8 (* (* (PI) (PI)) (PI))) (pow (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) 3)) 1/3) (/ (* (- (* 1/8 (* (* (PI) (PI)) (PI))) (pow (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) 3)) 1/3) (+ (* 1/4 (* (PI) (PI))) (* (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))))))) (- (* 1/8 (* (* (PI) (PI)) (PI))) (pow (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) 3)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (/ 1/18 (* z y)) (* x (sqrt t)))) 1/3) (acos (* (/ 1/18 (* z y)) (* x (sqrt t)))) (* (/ 1/18 (* z y)) (* x (sqrt t))) (* (acos (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) 1/3) (acos (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) (* (sqrt t) (* x (/ 3 (* (* 54 y) z)))) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (+ (* (* 1/2 (PI)) 1/3) (* (neg (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z)))))) 1/3)) (* (neg (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z)))))) 1/3) (* 1/2 (PI)) (* x (/ 3 (* (* 54 y) z))) (* (* (PI) (PI)) (PI)) (/ 1/18 (* z y)) (* x (sqrt t)) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
6.0ms
x
@-inf
((/ 3 (* (* 54 y) z)) (* (- (* 1/8 (* (* (PI) (PI)) (PI))) (pow (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) 3)) 1/3) (/ (* (- (* 1/8 (* (* (PI) (PI)) (PI))) (pow (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) 3)) 1/3) (+ (* 1/4 (* (PI) (PI))) (* (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))))))) (- (* 1/8 (* (* (PI) (PI)) (PI))) (pow (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) 3)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (/ 1/18 (* z y)) (* x (sqrt t)))) 1/3) (acos (* (/ 1/18 (* z y)) (* x (sqrt t)))) (* (/ 1/18 (* z y)) (* x (sqrt t))) (* (acos (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) 1/3) (acos (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) (* (sqrt t) (* x (/ 3 (* (* 54 y) z)))) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (+ (* (* 1/2 (PI)) 1/3) (* (neg (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z)))))) 1/3)) (* (neg (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z)))))) 1/3) (* 1/2 (PI)) (* x (/ 3 (* (* 54 y) z))) (* (* (PI) (PI)) (PI)) (/ 1/18 (* z y)) (* x (sqrt t)) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
6.0ms
x
@inf
((/ 3 (* (* 54 y) z)) (* (- (* 1/8 (* (* (PI) (PI)) (PI))) (pow (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) 3)) 1/3) (/ (* (- (* 1/8 (* (* (PI) (PI)) (PI))) (pow (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) 3)) 1/3) (+ (* 1/4 (* (PI) (PI))) (* (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))))))) (- (* 1/8 (* (* (PI) (PI)) (PI))) (pow (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) 3)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (/ 1/18 (* z y)) (* x (sqrt t)))) 1/3) (acos (* (/ 1/18 (* z y)) (* x (sqrt t)))) (* (/ 1/18 (* z y)) (* x (sqrt t))) (* (acos (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) 1/3) (acos (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) (* (sqrt t) (* x (/ 3 (* (* 54 y) z)))) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (+ (* (* 1/2 (PI)) 1/3) (* (neg (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z)))))) 1/3)) (* (neg (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z)))))) 1/3) (* 1/2 (PI)) (* x (/ 3 (* (* 54 y) z))) (* (* (PI) (PI)) (PI)) (/ 1/18 (* z y)) (* x (sqrt t)) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
6.0ms
y
@-inf
((/ 3 (* (* 54 y) z)) (* (- (* 1/8 (* (* (PI) (PI)) (PI))) (pow (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) 3)) 1/3) (/ (* (- (* 1/8 (* (* (PI) (PI)) (PI))) (pow (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) 3)) 1/3) (+ (* 1/4 (* (PI) (PI))) (* (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))))))) (- (* 1/8 (* (* (PI) (PI)) (PI))) (pow (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) 3)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (/ 1/18 (* z y)) (* x (sqrt t)))) 1/3) (acos (* (/ 1/18 (* z y)) (* x (sqrt t)))) (* (/ 1/18 (* z y)) (* x (sqrt t))) (* (acos (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) 1/3) (acos (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) (* (sqrt t) (* x (/ 3 (* (* 54 y) z)))) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (+ (* (* 1/2 (PI)) 1/3) (* (neg (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z)))))) 1/3)) (* (neg (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z)))))) 1/3) (* 1/2 (PI)) (* x (/ 3 (* (* 54 y) z))) (* (* (PI) (PI)) (PI)) (/ 1/18 (* z y)) (* x (sqrt t)) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))

simplify213.0ms (0.7%)

Memory
-21.5MiB live, 303.6MiB allocated
Algorithm
1×egg-herbie
Rules
5 034×lower-fma.f64
5 034×lower-fma.f32
4 076×lower-*.f64
4 076×lower-*.f32
2 168×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06812760
115412536
242512480
3130112480
4275212480
5558912480
6778612480
0804412240
Stop Event
1×iter limit
1×node limit
Counts
888 → 888
Calls
Call 1
Inputs
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(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))))
(* 1/18 (/ 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))))))
(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 (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))))))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(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))))
(* 1/18 (/ 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))))))
(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 (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))))))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
Outputs
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (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 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y))))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (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 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y))))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (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 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y))))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (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 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y))))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (PI.f64)) (PI.f64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (PI.f64)) (PI.f64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (PI.f64)) (PI.f64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (PI.f64)) (PI.f64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (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 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y))))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (PI.f64)) (PI.f64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (PI.f64)) (PI.f64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (PI.f64)) (PI.f64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (PI.f64)) (PI.f64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) x)
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) x)
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) x)
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) x)
(* 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 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y))))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) x)
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) x)
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) x)
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) x)
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))

rewrite407.0ms (1.3%)

Memory
25.7MiB live, 504.3MiB allocated
Rules
7 434×lower-fma.f32
7 428×lower-fma.f64
4 732×lower-*.f32
4 692×lower-*.f64
4 406×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063348
0101466
1290257
21887247
08178247
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 1 437
Calls
Call 1
Inputs
(/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))
(*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))))))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))) #s(literal 1/3 binary64)))
(*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(/.f64 #s(literal 1/18 binary64) (*.f64 z y))
(*.f64 x (sqrt.f64 t))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
Outputs
(*.f64 #s(literal 1/54 binary64) (pow.f64 (*.f64 (*.f64 z y) #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 54 binary64))) (/.f64 #s(literal 3 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/18 binary64) y))
(*.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 54 binary64)))
(*.f64 (neg.f64 (/.f64 #s(literal 1/18 binary64) y)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (neg.f64 (/.f64 #s(literal 1/18 binary64) z)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 z y) #s(literal 18 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1/18 binary64))
(*.f64 (/.f64 #s(literal 1/54 binary64) (*.f64 z y)) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 54 binary64))))
(*.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) z)))
(*.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -54 binary64) (*.f64 z y))))
(*.f64 #s(literal 1/18 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))
(*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/54 binary64) (*.f64 z y)))
(pow.f64 (*.f64 (*.f64 z y) #s(literal 18 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/18 binary64) y))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/18 binary64) z))) (neg.f64 (neg.f64 y)))
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(*.f64 #s(literal 3 binary64) (*.f64 (/.f64 x (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 27 binary64) y))) (sqrt.f64 t)))
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 t)) (*.f64 z (*.f64 (/.f64 y x) #s(literal 9 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 3 binary64) z)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 27 binary64) y) x)))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (sqrt.f64 t)) #s(literal 1/2 binary64))) (neg.f64 z))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (sqrt.f64 t)) z)) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 z (*.f64 #s(literal 27 binary64) y))) (sqrt.f64 t))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) (sqrt.f64 t))) (neg.f64 (*.f64 #s(literal -2 binary64) z)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 t))) (neg.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 z (/.f64 (*.f64 #s(literal 27 binary64) y) x)))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 z (*.f64 #s(literal 27 binary64) y))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/9 binary64) (/.f64 x y)))) (neg.f64 (*.f64 #s(literal -2 binary64) z)))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 z (/.f64 (*.f64 #s(literal 27 binary64) y) x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (sqrt.f64 t)))) (neg.f64 (*.f64 #s(literal -2 binary64) z)))
(/.f64 (neg.f64 (sqrt.f64 t)) (neg.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 z (/.f64 (*.f64 #s(literal 27 binary64) y) x)))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (sqrt.f64 t)) #s(literal 1/2 binary64)) z)
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (sqrt.f64 t)) z) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 z (*.f64 #s(literal 27 binary64) y))) (sqrt.f64 t)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) (sqrt.f64 t)) (*.f64 #s(literal -2 binary64) z))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 t)) (*.f64 #s(literal 2/3 binary64) (*.f64 z (/.f64 (*.f64 #s(literal 27 binary64) y) x))))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 z (*.f64 #s(literal 27 binary64) y)))) #s(literal 2 binary64))
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/9 binary64) (/.f64 x y))) (*.f64 #s(literal -2 binary64) z))
(/.f64 (*.f64 (sqrt.f64 t) #s(literal 1 binary64)) (*.f64 #s(literal 2/3 binary64) (*.f64 z (/.f64 (*.f64 #s(literal 27 binary64) y) x))))
(/.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 z (/.f64 (*.f64 #s(literal 27 binary64) y) x))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (sqrt.f64 t))) (*.f64 #s(literal -2 binary64) z))
(/.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (sqrt.f64 t)) (*.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1 binary64)))
(/.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 #s(literal 2 binary64) (sqrt.f64 t)) (*.f64 z (*.f64 (/.f64 y x) #s(literal 9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (sqrt.f64 t)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (sqrt.f64 t)) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 z (*.f64 #s(literal 27 binary64) y))) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 z (/.f64 (*.f64 #s(literal 27 binary64) y) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 z (*.f64 #s(literal 27 binary64) y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/9 binary64) (/.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 z (/.f64 (*.f64 #s(literal 27 binary64) y) x))) (*.f64 (sqrt.f64 t) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 t)) (*.f64 z (*.f64 (/.f64 y x) #s(literal 9 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 z (/.f64 (*.f64 #s(literal 27 binary64) y) x))) (sqrt.f64 t)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 t)) (*.f64 z (*.f64 (/.f64 y x) #s(literal 9 binary64)))))
(/.f64 (sqrt.f64 t) (*.f64 #s(literal 2/3 binary64) (*.f64 z (/.f64 (*.f64 #s(literal 27 binary64) y) x))))

eval909.0ms (2.9%)

Memory
-36.1MiB live, 1 247.1MiB allocated
Compiler

Compiled 156 486 to 7 975 computations (94.9% saved)

prune8.2s (26.4%)

Memory
-23.2MiB live, 900.8MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New3 86673 873
Fresh101
Picked505
Done000
Total3 87273 879
Accuracy
100.0%
Counts
3 879 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶96.9%
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))))
98.4%
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) #s(literal 3 binary64)) #s(literal -1 binary64))
▶99.6%
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))))))
▶96.9%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) #s(literal 3 binary64)))
96.9%
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))) #s(literal 1/3 binary64))
▶95.0%
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 1/3 binary64))
▶98.1%
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 1/3 binary64))
Compiler

Compiled 406 to 260 computations (36% saved)

simplify189.0ms (0.6%)

Memory
21.5MiB live, 138.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(acos.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))
cost-diff0
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) #s(literal 3 binary64))
cost-diff1088
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) #s(literal 3 binary64)))
cost-diff0
(asin.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))
cost-diff0
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))
cost-diff0
(PI.f64)
cost-diff0
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))))
cost-diff0
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)
cost-diff0
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))
cost-diff0
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 1/3 binary64))
cost-diff384
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))
cost-diff0
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
cost-diff0
(*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))
cost-diff0
(acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t)))
cost-diff0
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 1/3 binary64))
cost-diff0
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64)))
cost-diff0
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))))))
cost-diff128
(*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
cost-diff320
(/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))
Rules
7 296×lower-fma.f32
7 290×lower-fma.f64
3 554×lower-*.f32
3 516×lower-*.f64
1 106×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058571
0103581
1174535
2349535
3705535
41348535
51795535
62210535
72846535
84247535
95767535
106790535
117627535
127644535
137744535
08164533
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))))))
(*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))))
#s(literal 1/8 binary64)
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))
(pow.f64 (PI.f64) #s(literal 2/3 binary64))
(PI.f64)
#s(literal 2/3 binary64)
(pow.f64 (PI.f64) #s(literal 7/3 binary64))
#s(literal 7/3 binary64)
(pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))
(asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))
(sqrt.f64 t)
t
(*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))
x
(/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))
#s(literal 3 binary64)
(*.f64 (*.f64 #s(literal 54 binary64) y) z)
(*.f64 #s(literal 54 binary64) y)
#s(literal 54 binary64)
y
z
#s(literal 1/3 binary64)
(fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))))))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) (PI.f64))
(*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))))
#s(literal 1/2 binary64)
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t)))
(*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))
(*.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
#s(literal 1/3 binary64)
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 1/3 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 1/3 binary64)
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))))
(PI.f64)
#s(literal 1/6 binary64)
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))
#s(literal -1/3 binary64)
(asin.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))
(*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))
(*.f64 x (sqrt.f64 t))
x
(sqrt.f64 t)
t
(/.f64 #s(literal 1/18 binary64) (*.f64 z y))
#s(literal 1/18 binary64)
(*.f64 z y)
z
y
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) #s(literal 3 binary64)))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))
(acos.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))
(*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))
(*.f64 x (sqrt.f64 t))
x
(sqrt.f64 t)
t
(/.f64 #s(literal 1/18 binary64) (*.f64 z y))
#s(literal 1/18 binary64)
(*.f64 z y)
z
y
#s(literal 3 binary64)
Outputs
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64)))
(-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))))
(*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
#s(literal 1/8 binary64)
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(pow.f64 (PI.f64) #s(literal 2/3 binary64))
(PI.f64)
#s(literal 2/3 binary64)
(pow.f64 (PI.f64) #s(literal 7/3 binary64))
#s(literal 7/3 binary64)
(pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))
(pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64))
(asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))
(asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))
(sqrt.f64 t)
t
(*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y)))
x
(/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))
(/.f64 #s(literal 1/18 binary64) (*.f64 z y))
#s(literal 3 binary64)
(*.f64 (*.f64 #s(literal 54 binary64) y) z)
(*.f64 z (*.f64 y #s(literal 54 binary64)))
(*.f64 #s(literal 54 binary64) y)
(*.f64 y #s(literal 54 binary64))
#s(literal 54 binary64)
y
z
#s(literal 1/3 binary64)
(fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) (PI.f64))
(*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))
#s(literal 1/2 binary64)
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t)))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))
(*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y)))
(/.f64 x (*.f64 z y))
x
(*.f64 z y)
z
y
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
#s(literal 1/3 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 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #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 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z 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)) (/.f64 x (*.f64 z y)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)
(*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64))
(*.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)
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))))
(fma.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(PI.f64)
#s(literal 1/6 binary64)
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))
#s(literal -1/3 binary64)
(asin.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))
(asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))
(*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))
(*.f64 x (sqrt.f64 t))
x
(sqrt.f64 t)
t
(/.f64 #s(literal 1/18 binary64) (*.f64 z y))
#s(literal 1/18 binary64)
(*.f64 z y)
z
y
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) #s(literal 3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) #s(literal 3 binary64))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))
(acos.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))
(*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))
(*.f64 x (sqrt.f64 t))
x
(sqrt.f64 t)
t
(/.f64 #s(literal 1/18 binary64) (*.f64 z y))
#s(literal 1/18 binary64)
(*.f64 z y)
z
y
#s(literal 3 binary64)

localize585.0ms (1.9%)

Memory
-7.9MiB live, 345.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.23828125
(*.f64 x (sqrt.f64 t))
accuracy0.45860860950831484
(/.f64 #s(literal 1/18 binary64) (*.f64 z y))
accuracy0.9609375
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) #s(literal 3 binary64)))
accuracy5.753940611644625
(*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))
accuracy0.26953125
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))
accuracy0.45860860950831484
(/.f64 #s(literal 1/18 binary64) (*.f64 z y))
accuracy0.96484375
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))))
accuracy5.753940611644625
(*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))
accuracy0.23828125
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)
accuracy0.3522262695368841
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
accuracy0.96875
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 1/3 binary64))
accuracy9.987161199498875
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))
accuracy0.27248002930532605
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
accuracy0.96875
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 1/3 binary64))
accuracy2.3256289368245198
(*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))
accuracy4.0650184813277885
(/.f64 x (*.f64 z y))
accuracy1.0
(pow.f64 (PI.f64) #s(literal 7/3 binary64))
accuracy1.0
(*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
accuracy2.3256289368245198
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))
accuracy3.850269854104571
(*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))
Samples
510.0ms256×0valid
Compiler

Compiled 580 to 65 computations (88.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 457.0ms
ival-mult: 387.0ms (84.6% of total)
const: 21.0ms (4.6% of total)
ival-pow: 15.0ms (3.3% of total)
ival-div: 13.0ms (2.8% of total)
ival-acos: 6.0ms (1.3% of total)
ival-add: 3.0ms (0.7% of total)
ival-asin: 3.0ms (0.7% of total)
ival-copysign: 2.0ms (0.4% of total)
ival-sqrt: 2.0ms (0.4% of total)
ival-pi: 1.0ms (0.2% of total)
ival-fabs: 1.0ms (0.2% of total)
ival-sub: 1.0ms (0.2% of total)
exact: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series109.0ms (0.3%)

Memory
4.1MiB live, 161.0MiB allocated
Counts
28 → 1 080
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)) (patch (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))))))) (patch (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))))))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) (patch (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) (patch (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t)) (patch (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t)) #<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>) () ())
#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 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 1/3 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 (/.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 (fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))) (patch (fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) (patch (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) #<representation binary64>) () ())
#s(alt (asin.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) (patch (asin.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) #<representation binary64>) () ())
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#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) #s(literal 3 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) (patch (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) #<representation binary64>) () ())
#s(alt (acos.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) (patch (acos.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) #<representation binary64>) () ())
#s(alt (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))) (patch (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))) (patch (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))) #<representation binary64>) () ())
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#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 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))) (patch (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (patch (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) #<representation binary64>) () ())
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Outputs
#s(alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (taylor 0 t) (#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (taylor 0 t) (#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (taylor 0 t) (#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (taylor 0 t) (#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))))))) (patch (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))))))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))))))) (patch (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))))))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))))))) (patch (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))))))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))))))) (patch (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))))))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (taylor 0 t) (#s(alt (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) (patch (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (taylor 0 t) (#s(alt (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) (patch (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) (taylor -inf x) (#s(alt (fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))) (patch (fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))) #<representation binary64>) () ())) ())
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#s(alt (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor -inf x) (#s(alt (asin.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) (patch (asin.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) #<representation binary64>) () ())) ())
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#s(alt (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor -inf x) (#s(alt (asin.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) (patch (asin.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) #<representation binary64>) () ())) ())
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#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 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) #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 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
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#s(alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) (patch (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) #<representation binary64>) () ())) ())
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#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor -inf x) (#s(alt (acos.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) (patch (acos.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))) (patch (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))) #<representation binary64>) () ())) ())
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#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))) (patch (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))) #<representation binary64>) () ())) ())
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#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))) (patch (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))) (patch (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))) (patch (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))) (patch (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))) #<representation binary64>) () ())) ())
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 z y)) (patch (/.f64 x (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 z y)) (patch (/.f64 x (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 z y)) (patch (/.f64 x (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 z y)) (patch (/.f64 x (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))) (patch (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))) (patch (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))) (patch (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))) (patch (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt t) x) (taylor -inf x) (#s(alt (*.f64 x (sqrt.f64 t)) (patch (*.f64 x (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt t) x) (taylor -inf x) (#s(alt (*.f64 x (sqrt.f64 t)) (patch (*.f64 x (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt t) x) (taylor -inf x) (#s(alt (*.f64 x (sqrt.f64 t)) (patch (*.f64 x (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt t) x) (taylor -inf x) (#s(alt (*.f64 x (sqrt.f64 t)) (patch (*.f64 x (sqrt.f64 t)) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
8.0ms
t
@-inf
((/ 3 (* (* 54 y) z)) (* (- (* 1/8 (* (pow (PI) 2/3) (pow (PI) 7/3))) (pow (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) 3)) 1/3) (/ (* (- (* 1/8 (* (pow (PI) 2/3) (pow (PI) 7/3))) (pow (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) 3)) 1/3) (+ (* 1/4 (* (PI) (PI))) (* (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))))))) (- (* 1/8 (* (pow (PI) 2/3) (pow (PI) 7/3))) (pow (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) 3)) (* (acos (* (* (/ x (* z y)) 1/18) (sqrt t))) 1/3) (acos (* (* (/ x (* z y)) 1/18) (sqrt t))) (* (* (/ x (* z y)) 1/18) (sqrt t)) (* (/ x (* z y)) 1/18) (* (/ (* 1/18 (sqrt t)) z) (/ x y)) (* (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) 1/3) (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) (/ (* 1/18 (sqrt t)) z) (+ (* (PI) 1/6) (* -1/3 (asin (* (* x (sqrt t)) (/ 1/18 (* z y)))))) (PI) (* -1/3 (asin (* (* x (sqrt t)) (/ 1/18 (* z y))))) (asin (* (* x (sqrt t)) (/ 1/18 (* z y)))) (/ 1 (* (/ 1 (acos (* (* x (sqrt t)) (/ 1/18 (* z y))))) 3)) (* (/ 1 (acos (* (* x (sqrt t)) (/ 1/18 (* z y))))) 3) (/ 1 (acos (* (* x (sqrt t)) (/ 1/18 (* z y))))) (acos (* (* x (sqrt t)) (/ 1/18 (* z y)))) (* x (/ 3 (* (* 54 y) z))) (* (sqrt t) (* x (/ 3 (* (* 54 y) z)))) (pow (PI) 7/3) (/ x (* z y)) (* 1/18 (sqrt t)) (* (* x (sqrt t)) (/ 1/18 (* z y))) (/ 1/18 (* z y)) (* x (sqrt t)))
5.0ms
y
@inf
((/ 3 (* (* 54 y) z)) (* (- (* 1/8 (* (pow (PI) 2/3) (pow (PI) 7/3))) (pow (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) 3)) 1/3) (/ (* (- (* 1/8 (* (pow (PI) 2/3) (pow (PI) 7/3))) (pow (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) 3)) 1/3) (+ (* 1/4 (* (PI) (PI))) (* (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))))))) (- (* 1/8 (* (pow (PI) 2/3) (pow (PI) 7/3))) (pow (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) 3)) (* (acos (* (* (/ x (* z y)) 1/18) (sqrt t))) 1/3) (acos (* (* (/ x (* z y)) 1/18) (sqrt t))) (* (* (/ x (* z y)) 1/18) (sqrt t)) (* (/ x (* z y)) 1/18) (* (/ (* 1/18 (sqrt t)) z) (/ x y)) (* (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) 1/3) (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) (/ (* 1/18 (sqrt t)) z) (+ (* (PI) 1/6) (* -1/3 (asin (* (* x (sqrt t)) (/ 1/18 (* z y)))))) (PI) (* -1/3 (asin (* (* x (sqrt t)) (/ 1/18 (* z y))))) (asin (* (* x (sqrt t)) (/ 1/18 (* z y)))) (/ 1 (* (/ 1 (acos (* (* x (sqrt t)) (/ 1/18 (* z y))))) 3)) (* (/ 1 (acos (* (* x (sqrt t)) (/ 1/18 (* z y))))) 3) (/ 1 (acos (* (* x (sqrt t)) (/ 1/18 (* z y))))) (acos (* (* x (sqrt t)) (/ 1/18 (* z y)))) (* x (/ 3 (* (* 54 y) z))) (* (sqrt t) (* x (/ 3 (* (* 54 y) z)))) (pow (PI) 7/3) (/ x (* z y)) (* 1/18 (sqrt t)) (* (* x (sqrt t)) (/ 1/18 (* z y))) (/ 1/18 (* z y)) (* x (sqrt t)))
5.0ms
t
@0
((/ 3 (* (* 54 y) z)) (* (- (* 1/8 (* (pow (PI) 2/3) (pow (PI) 7/3))) (pow (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) 3)) 1/3) (/ (* (- (* 1/8 (* (pow (PI) 2/3) (pow (PI) 7/3))) (pow (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) 3)) 1/3) (+ (* 1/4 (* (PI) (PI))) (* (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))))))) (- (* 1/8 (* (pow (PI) 2/3) (pow (PI) 7/3))) (pow (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) 3)) (* (acos (* (* (/ x (* z y)) 1/18) (sqrt t))) 1/3) (acos (* (* (/ x (* z y)) 1/18) (sqrt t))) (* (* (/ x (* z y)) 1/18) (sqrt t)) (* (/ x (* z y)) 1/18) (* (/ (* 1/18 (sqrt t)) z) (/ x y)) (* (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) 1/3) (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) (/ (* 1/18 (sqrt t)) z) (+ (* (PI) 1/6) (* -1/3 (asin (* (* x (sqrt t)) (/ 1/18 (* z y)))))) (PI) (* -1/3 (asin (* (* x (sqrt t)) (/ 1/18 (* z y))))) (asin (* (* x (sqrt t)) (/ 1/18 (* z y)))) (/ 1 (* (/ 1 (acos (* (* x (sqrt t)) (/ 1/18 (* z y))))) 3)) (* (/ 1 (acos (* (* x (sqrt t)) (/ 1/18 (* z y))))) 3) (/ 1 (acos (* (* x (sqrt t)) (/ 1/18 (* z y))))) (acos (* (* x (sqrt t)) (/ 1/18 (* z y)))) (* x (/ 3 (* (* 54 y) z))) (* (sqrt t) (* x (/ 3 (* (* 54 y) z)))) (pow (PI) 7/3) (/ x (* z y)) (* 1/18 (sqrt t)) (* (* x (sqrt t)) (/ 1/18 (* z y))) (/ 1/18 (* z y)) (* x (sqrt t)))
5.0ms
x
@-inf
((/ 3 (* (* 54 y) z)) (* (- (* 1/8 (* (pow (PI) 2/3) (pow (PI) 7/3))) (pow (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) 3)) 1/3) (/ (* (- (* 1/8 (* (pow (PI) 2/3) (pow (PI) 7/3))) (pow (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) 3)) 1/3) (+ (* 1/4 (* (PI) (PI))) (* (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))))))) (- (* 1/8 (* (pow (PI) 2/3) (pow (PI) 7/3))) (pow (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) 3)) (* (acos (* (* (/ x (* z y)) 1/18) (sqrt t))) 1/3) (acos (* (* (/ x (* z y)) 1/18) (sqrt t))) (* (* (/ x (* z y)) 1/18) (sqrt t)) (* (/ x (* z y)) 1/18) (* (/ (* 1/18 (sqrt t)) z) (/ x y)) (* (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) 1/3) (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) (/ (* 1/18 (sqrt t)) z) (+ (* (PI) 1/6) (* -1/3 (asin (* (* x (sqrt t)) (/ 1/18 (* z y)))))) (PI) (* -1/3 (asin (* (* x (sqrt t)) (/ 1/18 (* z y))))) (asin (* (* x (sqrt t)) (/ 1/18 (* z y)))) (/ 1 (* (/ 1 (acos (* (* x (sqrt t)) (/ 1/18 (* z y))))) 3)) (* (/ 1 (acos (* (* x (sqrt t)) (/ 1/18 (* z y))))) 3) (/ 1 (acos (* (* x (sqrt t)) (/ 1/18 (* z y))))) (acos (* (* x (sqrt t)) (/ 1/18 (* z y)))) (* x (/ 3 (* (* 54 y) z))) (* (sqrt t) (* x (/ 3 (* (* 54 y) z)))) (pow (PI) 7/3) (/ x (* z y)) (* 1/18 (sqrt t)) (* (* x (sqrt t)) (/ 1/18 (* z y))) (/ 1/18 (* z y)) (* x (sqrt t)))
5.0ms
t
@inf
((/ 3 (* (* 54 y) z)) (* (- (* 1/8 (* (pow (PI) 2/3) (pow (PI) 7/3))) (pow (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) 3)) 1/3) (/ (* (- (* 1/8 (* (pow (PI) 2/3) (pow (PI) 7/3))) (pow (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) 3)) 1/3) (+ (* 1/4 (* (PI) (PI))) (* (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))))))) (- (* 1/8 (* (pow (PI) 2/3) (pow (PI) 7/3))) (pow (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) 3)) (* (acos (* (* (/ x (* z y)) 1/18) (sqrt t))) 1/3) (acos (* (* (/ x (* z y)) 1/18) (sqrt t))) (* (* (/ x (* z y)) 1/18) (sqrt t)) (* (/ x (* z y)) 1/18) (* (/ (* 1/18 (sqrt t)) z) (/ x y)) (* (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) 1/3) (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) (/ (* 1/18 (sqrt t)) z) (+ (* (PI) 1/6) (* -1/3 (asin (* (* x (sqrt t)) (/ 1/18 (* z y)))))) (PI) (* -1/3 (asin (* (* x (sqrt t)) (/ 1/18 (* z y))))) (asin (* (* x (sqrt t)) (/ 1/18 (* z y)))) (/ 1 (* (/ 1 (acos (* (* x (sqrt t)) (/ 1/18 (* z y))))) 3)) (* (/ 1 (acos (* (* x (sqrt t)) (/ 1/18 (* z y))))) 3) (/ 1 (acos (* (* x (sqrt t)) (/ 1/18 (* z y))))) (acos (* (* x (sqrt t)) (/ 1/18 (* z y)))) (* x (/ 3 (* (* 54 y) z))) (* (sqrt t) (* x (/ 3 (* (* 54 y) z)))) (pow (PI) 7/3) (/ x (* z y)) (* 1/18 (sqrt t)) (* (* x (sqrt t)) (/ 1/18 (* z y))) (/ 1/18 (* z y)) (* x (sqrt t)))

simplify226.0ms (0.7%)

Memory
4.9MiB live, 195.2MiB allocated
Algorithm
1×egg-herbie
Rules
4 688×lower-*.f64
4 688×lower-*.f32
4 322×lower-fma.f64
4 322×lower-fma.f32
1 672×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07914732
117614428
246514364
3154514364
4346314364
5608914364
0810714124
Stop Event
1×iter limit
1×node limit
Counts
1 080 → 1 080
Calls
Call 1
Inputs
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(* (sqrt t) x)
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(+ (* -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)))))) (* 1/6 (PI)))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(* (sqrt t) x)
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(* (sqrt t) x)
(* (sqrt t) x)
Outputs
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) x) (sqrt.f64 t))) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) x) (sqrt.f64 t))) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
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(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) x) (sqrt.f64 t))) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) x) (sqrt.f64 t))
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(/ x (* y z))
(/.f64 x (*.f64 z y))
(/ x (* y z))
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(/ x (* y z))
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(/ x (* y z))
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(*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) x) (sqrt.f64 t))
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(*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) x) (sqrt.f64 t))
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(*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) x) (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
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(* (sqrt t) x)
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(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))

rewrite445.0ms (1.4%)

Memory
5.7MiB live, 476.5MiB allocated
Rules
5 440×lower-fma.f32
5 434×lower-fma.f64
4 540×lower-*.f32
4 502×lower-*.f64
3 966×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058352
0103470
1321278
22059278
08270278
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
28 → 2 266
Calls
Call 1
Inputs
(/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))
(*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))))))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64)))
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(*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))
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(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))
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(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))))
(PI.f64)
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))
(asin.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))
(acos.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))
(*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))
(pow.f64 (PI.f64) #s(literal 7/3 binary64))
(/.f64 x (*.f64 z y))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))
(/.f64 #s(literal 1/18 binary64) (*.f64 z y))
(*.f64 x (sqrt.f64 t))
Outputs
(*.f64 #s(literal 1/54 binary64) (pow.f64 (*.f64 (*.f64 z y) #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 54 binary64))) (pow.f64 (*.f64 z #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 54 binary64))))
(*.f64 (neg.f64 (/.f64 #s(literal 1/18 binary64) y)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (neg.f64 (/.f64 #s(literal 1/18 binary64) z)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1/54 binary64) (*.f64 z y)) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/18 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1/18 binary64))
(*.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -54 binary64) (*.f64 z y))))
(*.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) z)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 z y) #s(literal 18 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))
(*.f64 #s(literal 1/18 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/54 binary64) (*.f64 z y)))
(pow.f64 (*.f64 (*.f64 z y) #s(literal 18 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 3 binary64) z)) (neg.f64 (*.f64 y #s(literal 54 binary64))))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/18 binary64) y))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/18 binary64) z))) (neg.f64 (neg.f64 y)))
(/.f64 (/.f64 #s(literal 3 binary64) z) (*.f64 y #s(literal 54 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/18 binary64) y)) (neg.f64 z))
(/.f64 (neg.f64 (/.f64 #s(literal 1/18 binary64) z)) (neg.f64 y))
(/.f64 (/.f64 #s(literal 1/18 binary64) y) z)
(/.f64 (/.f64 #s(literal 1/18 binary64) z) y)
(/.f64 #s(literal -3 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal -54 binary64) (*.f64 z y)))))
(/.f64 #s(literal -3 binary64) (*.f64 #s(literal -54 binary64) (*.f64 z y)))
(/.f64 #s(literal -1/18 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 y) z))))
(/.f64 #s(literal -1/18 binary64) (*.f64 (neg.f64 y) z))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 z y) #s(literal 18 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 54 binary64)) (/.f64 #s(literal 3 binary64) z)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 z y) #s(literal 18 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) #s(literal 18 binary64)))
(/.f64 #s(literal 1/18 binary64) (neg.f64 (*.f64 (neg.f64 y) z)))
(/.f64 #s(literal 1/18 binary64) (*.f64 z y))
(/.f64 #s(literal 3 binary64) (neg.f64 (*.f64 #s(literal -54 binary64) (*.f64 z y))))
(/.f64 #s(literal 3 binary64) (*.f64 z (*.f64 y #s(literal 54 binary64))))
(neg.f64 (*.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/54 binary64) (*.f64 z y))))
(neg.f64 (/.f64 #s(literal -1/18 binary64) (*.f64 z y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 z y) #s(literal 18 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) (-.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) (-.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (/.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))))))
(*.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 3 binary64)))))
(*.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) #s(literal 1/512 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (fma.f64 (pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) (PI.f64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 6 binary64))))))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 3 binary64)))))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) #s(literal 1/512 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 9 binary64))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (fma.f64 (pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) (PI.f64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 6 binary64))))))
(*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 3 binary64))))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 3 binary64))) #s(literal 1/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 3 binary64))) #s(literal 1/3 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 3 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 3 binary64))))) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) (*.f64 #s(literal 1/3 binary64) (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 3 binary64))))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 6 binary64))))) (neg.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) #s(literal 1/512 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 9 binary64))))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (fma.f64 (pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) (PI.f64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 6 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 6 binary64))) #s(literal 1/3 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) #s(literal 1/512 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 9 binary64))) #s(literal 1/3 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (fma.f64 (pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) (PI.f64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 6 binary64))))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 3 binary64))))
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(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1/54 binary64) (*.f64 z y)) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/18 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1/18 binary64))
(*.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -54 binary64) (*.f64 z y))))
(*.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) z)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 z y) #s(literal 18 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))
(*.f64 #s(literal 1/18 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/54 binary64) (*.f64 z y)))
(pow.f64 (*.f64 (*.f64 z y) #s(literal 18 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 3 binary64) z)) (neg.f64 (*.f64 y #s(literal 54 binary64))))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/18 binary64) y))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/18 binary64) z))) (neg.f64 (neg.f64 y)))
(/.f64 (/.f64 #s(literal 3 binary64) z) (*.f64 y #s(literal 54 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/18 binary64) y)) (neg.f64 z))
(/.f64 (neg.f64 (/.f64 #s(literal 1/18 binary64) z)) (neg.f64 y))
(/.f64 (/.f64 #s(literal 1/18 binary64) y) z)
(/.f64 (/.f64 #s(literal 1/18 binary64) z) y)
(/.f64 #s(literal -3 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal -54 binary64) (*.f64 z y)))))
(/.f64 #s(literal -3 binary64) (*.f64 #s(literal -54 binary64) (*.f64 z y)))
(/.f64 #s(literal -1/18 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 y) z))))
(/.f64 #s(literal -1/18 binary64) (*.f64 (neg.f64 y) z))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 z y) #s(literal 18 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 54 binary64)) (/.f64 #s(literal 3 binary64) z)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 z y) #s(literal 18 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) #s(literal 18 binary64)))
(/.f64 #s(literal 1/18 binary64) (neg.f64 (*.f64 (neg.f64 y) z)))
(/.f64 #s(literal 1/18 binary64) (*.f64 z y))
(/.f64 #s(literal 3 binary64) (neg.f64 (*.f64 #s(literal -54 binary64) (*.f64 z y))))
(/.f64 #s(literal 3 binary64) (*.f64 z (*.f64 y #s(literal 54 binary64))))
(neg.f64 (*.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/54 binary64) (*.f64 z y))))
(neg.f64 (/.f64 #s(literal -1/18 binary64) (*.f64 z y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 z y) #s(literal 18 binary64))) #s(literal -1 binary64)))
(*.f64 x (sqrt.f64 t))
(*.f64 (sqrt.f64 t) x)

eval2.6s (8.4%)

Memory
31.1MiB live, 1 615.2MiB allocated
Compiler

Compiled 210 277 to 12 025 computations (94.3% saved)

prune947.0ms (3%)

Memory
-47.7MiB live, 1 388.9MiB allocated
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New5 07845 082
Fresh202
Picked325
Done000
Total5 08365 089
Accuracy
100.0%
Counts
5 089 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.4%
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))))))
▶99.6%
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))))))
▶97.0%
(/.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 3 binary64))
▶96.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))))
✓95.0%
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 1/3 binary64))
✓98.1%
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 1/3 binary64))
Compiler

Compiled 163 to 113 computations (30.7% saved)

simplify533.0ms (1.7%)

Memory
11.7MiB live, 204.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(PI.f64)
cost-diff128
(*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))))))
cost-diff768
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))))))
cost-diff1600
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))))
cost-diff0
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)))
cost-diff0
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))))))
cost-diff128
(*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
cost-diff320
(/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))
cost-diff0
(/.f64 #s(literal 1/18 binary64) (*.f64 z y))
cost-diff0
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
cost-diff0
(acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))
cost-diff0
(/.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 3 binary64))
cost-diff0
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
cost-diff0
(acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))
cost-diff0
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))))
cost-diff1088
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))))
Rules
20 076×lower-fma.f32
20 068×lower-fma.f64
5 074×lower-*.f32
5 042×lower-*.f64
1 690×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054576
096557
1171533
2379533
3835533
41595533
52226533
63022533
75231533
87566533
08235530
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))))
#s(literal 1 binary64)
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))))
#s(literal 3 binary64)
(acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(/.f64 #s(literal 1/18 binary64) (*.f64 z y))
#s(literal 1/18 binary64)
(*.f64 z y)
z
y
(*.f64 x (sqrt.f64 t))
x
(sqrt.f64 t)
t
(/.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 3 binary64))
(acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(/.f64 #s(literal 1/18 binary64) (*.f64 z y))
#s(literal 1/18 binary64)
(*.f64 z y)
z
y
(*.f64 x (sqrt.f64 t))
x
(sqrt.f64 t)
t
#s(literal 3 binary64)
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))))))
(*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))))
#s(literal 1/8 binary64)
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))
(pow.f64 (PI.f64) #s(literal 2/3 binary64))
(PI.f64)
#s(literal 2/3 binary64)
(pow.f64 (PI.f64) #s(literal 7/3 binary64))
#s(literal 7/3 binary64)
(pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))
(asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(/.f64 x (*.f64 z y))
x
(*.f64 z y)
z
y
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
#s(literal 3 binary64)
#s(literal 1/3 binary64)
(fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))))))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) (PI.f64))
(*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))))
(asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))
(*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))
(/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))
(*.f64 (*.f64 #s(literal 54 binary64) y) z)
(*.f64 #s(literal 54 binary64) y)
#s(literal 54 binary64)
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))))
#s(literal 1/2 binary64)
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))))))
(PI.f64)
#s(literal 1/6 binary64)
(*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))))))
#s(literal -1/3 binary64)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))
#s(literal 1/2 binary64)
(sqrt.f64 (PI.f64))
(neg.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))))
(acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(/.f64 #s(literal 1/18 binary64) (*.f64 z y))
#s(literal 1/18 binary64)
(*.f64 z y)
z
y
(*.f64 x (sqrt.f64 t))
x
(sqrt.f64 t)
t
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z)))))
#s(literal 1 binary64)
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z)))))
#s(literal 3 binary64)
(acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z)))
(/.f64 #s(literal 1/18 binary64) (*.f64 z y))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
#s(literal 1/18 binary64)
(*.f64 z y)
(*.f64 y z)
z
y
(*.f64 x (sqrt.f64 t))
(*.f64 (sqrt.f64 t) x)
x
(sqrt.f64 t)
t
(/.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 3 binary64))
(/.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z)))) #s(literal 3 binary64))
(acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z)))
(/.f64 #s(literal 1/18 binary64) (*.f64 z y))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
#s(literal 1/18 binary64)
(*.f64 z y)
(*.f64 y z)
z
y
(*.f64 x (sqrt.f64 t))
(*.f64 (sqrt.f64 t) x)
x
(sqrt.f64 t)
t
#s(literal 3 binary64)
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z)))) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z))))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z)))) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)))
(-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z)))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))))
(*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
#s(literal 1/8 binary64)
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(pow.f64 (PI.f64) #s(literal 2/3 binary64))
(PI.f64)
#s(literal 2/3 binary64)
(pow.f64 (PI.f64) #s(literal 7/3 binary64))
#s(literal 7/3 binary64)
(pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))
(pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z)))) #s(literal 3 binary64))
(asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z)))
(/.f64 x (*.f64 z y))
(/.f64 x (*.f64 y z))
x
(*.f64 z y)
(*.f64 y z)
z
y
(*.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
#s(literal 3 binary64)
#s(literal 1/3 binary64)
(fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z))))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) (PI.f64))
(*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z))))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z)))))
(asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))
(asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z)))
(*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) x)
(/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 54 binary64) y) z)
(*.f64 #s(literal 54 binary64) y)
#s(literal 54 binary64)
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z)))))
#s(literal 1/2 binary64)
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z)))))
(PI.f64)
#s(literal 1/6 binary64)
(*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))))))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z)))) (*.f64 #s(literal -1/6 binary64) (PI.f64)))
#s(literal -1/3 binary64)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 (PI.f64))
(neg.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))))
(neg.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z)))
(/.f64 #s(literal 1/18 binary64) (*.f64 z y))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
#s(literal 1/18 binary64)
(*.f64 z y)
(*.f64 y z)
z
y
(*.f64 x (sqrt.f64 t))
(*.f64 (sqrt.f64 t) x)
x
(sqrt.f64 t)
t

localize3.5s (11.2%)

Memory
16.1MiB live, 458.0MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.96484375
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))))))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy5.753940611644625
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
accuracy60.36835028437915
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))))
accuracy2.2771683400369396
(*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
accuracy2.3256289368245198
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))
accuracy3.850269854104571
(*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))
accuracy4.0650184813277885
(/.f64 x (*.f64 z y))
accuracy0.23828125
(*.f64 x (sqrt.f64 t))
accuracy0.45860860950831484
(/.f64 #s(literal 1/18 binary64) (*.f64 z y))
accuracy0.9609375
(/.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 3 binary64))
accuracy5.753940611644625
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
accuracy0.23828125
(*.f64 x (sqrt.f64 t))
accuracy0.45860860950831484
(/.f64 #s(literal 1/18 binary64) (*.f64 z y))
accuracy0.9609375
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))))
accuracy5.753940611644625
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
Samples
2.4s131×2valid
1.0s118×1valid
3.0ms7×0valid
Compiler

Compiled 588 to 62 computations (89.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.2s
ival-pow: 2.0s (60.5% of total)
ival-mult: 1.0s (31.6% of total)
ival-acos: 91.0ms (2.8% of total)
adjust: 60.0ms (1.8% of total)
const: 33.0ms (1% of total)
ival-div: 28.0ms (0.9% of total)
ival-sqrt: 10.0ms (0.3% of total)
ival-add: 10.0ms (0.3% of total)
ival-asin: 8.0ms (0.2% of total)
ival-copysign: 4.0ms (0.1% of total)
ival-sub: 3.0ms (0.1% of total)
ival-neg: 3.0ms (0.1% of total)
ival-fabs: 3.0ms (0.1% of total)
ival-pi: 2.0ms (0.1% of total)
exact: 1.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series344.0ms (1.1%)

Memory
-23.9MiB live, 52.7MiB allocated
Counts
20 → 768
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))) (patch (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))) #<representation binary64>) () ())
#s(alt (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) (patch (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))) (patch (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))) #<representation binary64>) () ())
#s(alt (/.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 3 binary64)) (patch (/.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (patch (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)) (patch (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))))))) (patch (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))))))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))) (patch (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))))) (patch (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))))) #<representation binary64>) () ())
#s(alt (fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))))))) (patch (fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))))))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))))) (patch (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (*.f64 x (sqrt.f64 t)) (patch (*.f64 x (sqrt.f64 t)) #<representation binary64>) () ())
#s(alt (/.f64 x (*.f64 z y)) (patch (/.f64 x (*.f64 z y)) #<representation binary64>) () ())
#s(alt (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))) (patch (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))) (patch (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (patch (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))))) #<representation binary64>) () ())) ())
#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))) (patch (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))) #<representation binary64>) () ())) ())
#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))) (patch (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))) #<representation binary64>) () ())) ())
#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))) (patch (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))) #<representation binary64>) () ())) ())
#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))) (patch (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) (patch (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) (patch (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) (patch (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) (patch (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))) (patch (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))) (patch (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))) (patch (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))) (patch (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (/.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 3 binary64)) (patch (/.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 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 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 3 binary64)) (patch (/.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 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 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 3 binary64)) (patch (/.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 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 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 3 binary64)) (patch (/.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (taylor 0 t) (#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (taylor 0 t) (#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (taylor 0 t) (#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (taylor 0 t) (#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))))))) (patch (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))))))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))))))) (patch (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))))))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))))))) (patch (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))))))) #<representation binary64>) () ())) ())
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#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))) (patch (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))) (patch (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))) (patch (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))) (patch (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))) (patch (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))) (patch (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))) (patch (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (patch (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (patch (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (patch (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (patch (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
49.0ms
z
@0
((/ 1 (/ 3 (acos (* (/ 1/18 (* z y)) (* x (sqrt t)))))) (/ 3 (acos (* (/ 1/18 (* z y)) (* x (sqrt t))))) (acos (* (/ 1/18 (* z y)) (* x (sqrt t)))) (* (/ 1/18 (* z y)) (* x (sqrt t))) (/ (acos (* (/ 1/18 (* z y)) (* x (sqrt t)))) 3) (/ 1/18 (* z y)) (/ 3 (* (* 54 y) z)) (* (- (* 1/8 (* (pow (PI) 2/3) (pow (PI) 7/3))) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 3)) 1/3) (/ (* (- (* 1/8 (* (pow (PI) 2/3) (pow (PI) 7/3))) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 3)) 1/3) (+ (* 1/4 (* (PI) (PI))) (* (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))))))) (- (* 1/8 (* (pow (PI) 2/3) (pow (PI) 7/3))) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 3)) (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (* (/ 1/18 (* z y)) (* x (sqrt t)))))) (+ (* (PI) 1/6) (* -1/3 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (* (/ 1/18 (* z y)) (* x (sqrt t)))))))) (* -1/3 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (* (/ 1/18 (* z y)) (* x (sqrt t))))))) (PI) (* x (sqrt t)) (/ x (* z y)) (* x (/ 3 (* (* 54 y) z))) (* (sqrt t) (* x (/ 3 (* (* 54 y) z)))) (* (/ x (* z y)) (* 1/18 (sqrt t))) (sqrt (PI)))
5.0ms
x
@-inf
((/ 1 (/ 3 (acos (* (/ 1/18 (* z y)) (* x (sqrt t)))))) (/ 3 (acos (* (/ 1/18 (* z y)) (* x (sqrt t))))) (acos (* (/ 1/18 (* z y)) (* x (sqrt t)))) (* (/ 1/18 (* z y)) (* x (sqrt t))) (/ (acos (* (/ 1/18 (* z y)) (* x (sqrt t)))) 3) (/ 1/18 (* z y)) (/ 3 (* (* 54 y) z)) (* (- (* 1/8 (* (pow (PI) 2/3) (pow (PI) 7/3))) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 3)) 1/3) (/ (* (- (* 1/8 (* (pow (PI) 2/3) (pow (PI) 7/3))) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 3)) 1/3) (+ (* 1/4 (* (PI) (PI))) (* (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))))))) (- (* 1/8 (* (pow (PI) 2/3) (pow (PI) 7/3))) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 3)) (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (* (/ 1/18 (* z y)) (* x (sqrt t)))))) (+ (* (PI) 1/6) (* -1/3 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (* (/ 1/18 (* z y)) (* x (sqrt t)))))))) (* -1/3 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (* (/ 1/18 (* z y)) (* x (sqrt t))))))) (PI) (* x (sqrt t)) (/ x (* z y)) (* x (/ 3 (* (* 54 y) z))) (* (sqrt t) (* x (/ 3 (* (* 54 y) z)))) (* (/ x (* z y)) (* 1/18 (sqrt t))) (sqrt (PI)))
4.0ms
t
@-inf
((/ 1 (/ 3 (acos (* (/ 1/18 (* z y)) (* x (sqrt t)))))) (/ 3 (acos (* (/ 1/18 (* z y)) (* x (sqrt t))))) (acos (* (/ 1/18 (* z y)) (* x (sqrt t)))) (* (/ 1/18 (* z y)) (* x (sqrt t))) (/ (acos (* (/ 1/18 (* z y)) (* x (sqrt t)))) 3) (/ 1/18 (* z y)) (/ 3 (* (* 54 y) z)) (* (- (* 1/8 (* (pow (PI) 2/3) (pow (PI) 7/3))) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 3)) 1/3) (/ (* (- (* 1/8 (* (pow (PI) 2/3) (pow (PI) 7/3))) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 3)) 1/3) (+ (* 1/4 (* (PI) (PI))) (* (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))))))) (- (* 1/8 (* (pow (PI) 2/3) (pow (PI) 7/3))) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 3)) (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (* (/ 1/18 (* z y)) (* x (sqrt t)))))) (+ (* (PI) 1/6) (* -1/3 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (* (/ 1/18 (* z y)) (* x (sqrt t)))))))) (* -1/3 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (* (/ 1/18 (* z y)) (* x (sqrt t))))))) (PI) (* x (sqrt t)) (/ x (* z y)) (* x (/ 3 (* (* 54 y) z))) (* (sqrt t) (* x (/ 3 (* (* 54 y) z)))) (* (/ x (* z y)) (* 1/18 (sqrt t))) (sqrt (PI)))
4.0ms
x
@inf
((/ 1 (/ 3 (acos (* (/ 1/18 (* z y)) (* x (sqrt t)))))) (/ 3 (acos (* (/ 1/18 (* z y)) (* x (sqrt t))))) (acos (* (/ 1/18 (* z y)) (* x (sqrt t)))) (* (/ 1/18 (* z y)) (* x (sqrt t))) (/ (acos (* (/ 1/18 (* z y)) (* x (sqrt t)))) 3) (/ 1/18 (* z y)) (/ 3 (* (* 54 y) z)) (* (- (* 1/8 (* (pow (PI) 2/3) (pow (PI) 7/3))) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 3)) 1/3) (/ (* (- (* 1/8 (* (pow (PI) 2/3) (pow (PI) 7/3))) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 3)) 1/3) (+ (* 1/4 (* (PI) (PI))) (* (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))))))) (- (* 1/8 (* (pow (PI) 2/3) (pow (PI) 7/3))) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 3)) (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (* (/ 1/18 (* z y)) (* x (sqrt t)))))) (+ (* (PI) 1/6) (* -1/3 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (* (/ 1/18 (* z y)) (* x (sqrt t)))))))) (* -1/3 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (* (/ 1/18 (* z y)) (* x (sqrt t))))))) (PI) (* x (sqrt t)) (/ x (* z y)) (* x (/ 3 (* (* 54 y) z))) (* (sqrt t) (* x (/ 3 (* (* 54 y) z)))) (* (/ x (* z y)) (* 1/18 (sqrt t))) (sqrt (PI)))
4.0ms
y
@-inf
((/ 1 (/ 3 (acos (* (/ 1/18 (* z y)) (* x (sqrt t)))))) (/ 3 (acos (* (/ 1/18 (* z y)) (* x (sqrt t))))) (acos (* (/ 1/18 (* z y)) (* x (sqrt t)))) (* (/ 1/18 (* z y)) (* x (sqrt t))) (/ (acos (* (/ 1/18 (* z y)) (* x (sqrt t)))) 3) (/ 1/18 (* z y)) (/ 3 (* (* 54 y) z)) (* (- (* 1/8 (* (pow (PI) 2/3) (pow (PI) 7/3))) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 3)) 1/3) (/ (* (- (* 1/8 (* (pow (PI) 2/3) (pow (PI) 7/3))) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 3)) 1/3) (+ (* 1/4 (* (PI) (PI))) (* (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* x (/ 3 (* (* 54 y) z))))))))) (- (* 1/8 (* (pow (PI) 2/3) (pow (PI) 7/3))) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 3)) (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (* (/ 1/18 (* z y)) (* x (sqrt t)))))) (+ (* (PI) 1/6) (* -1/3 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (* (/ 1/18 (* z y)) (* x (sqrt t)))))))) (* -1/3 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (* (/ 1/18 (* z y)) (* x (sqrt t))))))) (PI) (* x (sqrt t)) (/ x (* z y)) (* x (/ 3 (* (* 54 y) z))) (* (sqrt t) (* x (/ 3 (* (* 54 y) z)))) (* (/ x (* z y)) (* 1/18 (sqrt t))) (sqrt (PI)))

simplify690.0ms (2.2%)

Memory
20.2MiB live, 62.8MiB allocated
Algorithm
1×egg-herbie
Rules
5 446×lower-fma.f64
5 446×lower-fma.f32
4 132×lower-*.f64
4 132×lower-*.f32
2 042×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06911568
115711376
244211328
3137011328
4281311328
5566511328
0800411088
Stop Event
1×iter limit
1×node limit
Counts
768 → 768
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))))))
(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))))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))
(+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))
(+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))
(+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))
(* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/3 (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))))))
(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))))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))
(+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))
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(* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* (sqrt t) x)
(* (sqrt t) x)
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(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 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))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))
(+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))
(+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))
(+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))
(* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(/ 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)))
(* 1/18 (* (sqrt t) (/ x (* 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))))))
(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))))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))
(+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))
(+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))
(+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))
(* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(/ 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)))
(* 1/18 (* (sqrt t) (/ x (* 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 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (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 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y))))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (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 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y))))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (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 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y))))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (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 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y))))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64)))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))))
(+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/6 binary64) (PI.f64)))
(* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
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(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (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 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y))))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (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 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y))))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (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 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y))))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (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 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y))))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64)))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))))
(+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/6 binary64) (PI.f64)))
(* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/6 binary64) (PI.f64)))
(* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/6 binary64) (PI.f64)))
(* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/6 binary64) (PI.f64)))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.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 #s(literal 1/18 binary64) (*.f64 z y)) x)
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) x)
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) x)
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))

rewrite600.0ms (1.9%)

Memory
6.1MiB live, 514.0MiB allocated
Rules
9 172×lower-fma.f32
9 164×lower-fma.f64
4 612×lower-*.f32
4 580×lower-*.f64
3 088×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054290
096216
1318202
22234202
08511202
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 1 377
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))))
(acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))
(/.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 3 binary64))
(/.f64 #s(literal 1/18 binary64) (*.f64 z y))
(/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))
(*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))))))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))))))
(*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))))))
(PI.f64)
(*.f64 x (sqrt.f64 t))
(/.f64 x (*.f64 z y))
(*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))
(*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(sqrt.f64 (PI.f64))
Outputs
(*.f64 (/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)) (sqrt.f64 t)))) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)) (sqrt.f64 t))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
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eval769.0ms (2.5%)

Memory
7.5MiB live, 1 303.3MiB allocated
Compiler

Compiled 166 876 to 9 532 computations (94.3% saved)

prune598.0ms (1.9%)

Memory
-4.5MiB live, 1 240.4MiB allocated
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New3 74113 742
Fresh000
Picked224
Done022
Total3 74353 748
Accuracy
100.0%
Counts
3 748 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)) (sqrt.f64 t)))))))
✓97.0%
(/.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 3 binary64))
✓96.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))))
✓95.0%
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 1/3 binary64))
✓98.1%
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 1/3 binary64))
Compiler

Compiled 601 to 196 computations (67.4% saved)

regimes86.0ms (0.3%)

Memory
34.8MiB live, 154.7MiB allocated
Counts
19 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 1/3 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 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 3 binary64))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))))
(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 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) #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))))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))))))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)) (sqrt.f64 t)))))))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))) #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 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) 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 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))))))
Outputs
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)) (sqrt.f64 t)))))))
Calls

13 calls:

20.0ms
t
7.0ms
(*.f64 y #s(literal 27 binary64))
6.0ms
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
6.0ms
x
6.0ms
y
Results
AccuracySegmentsBranch
99.6%1x
99.6%1y
99.6%1z
99.6%1t
99.6%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))))
99.6%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)))
99.6%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))
99.6%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
99.6%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
99.6%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
99.6%1(*.f64 y #s(literal 27 binary64))
99.6%1(*.f64 z #s(literal 2 binary64))
99.6%1(sqrt.f64 t)
Compiler

Compiled 135 to 108 computations (20% saved)

regimes103.0ms (0.3%)

Memory
-16.3MiB live, 139.7MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 1/3 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 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 3 binary64))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))))
(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 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) #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))))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))))))
Outputs
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))))))
Calls

13 calls:

47.0ms
(sqrt.f64 t)
9.0ms
y
6.0ms
(/.f64 x (*.f64 y #s(literal 27 binary64)))
5.0ms
(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))
Results
AccuracySegmentsBranch
98.4%1x
98.4%1y
98.4%1z
98.4%1t
98.4%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))))
98.4%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)))
98.4%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))
98.4%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
98.4%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
98.4%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
98.4%1(*.f64 y #s(literal 27 binary64))
98.4%1(*.f64 z #s(literal 2 binary64))
98.4%1(sqrt.f64 t)
Compiler

Compiled 135 to 108 computations (20% saved)

regimes51.0ms (0.2%)

Memory
22.6MiB live, 136.2MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 1/3 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 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 3 binary64))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))))
(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 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) #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))))
Outputs
(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 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))) #s(literal 1/3 binary64)))
Calls

13 calls:

6.0ms
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
5.0ms
z
5.0ms
(*.f64 y #s(literal 27 binary64))
4.0ms
(sqrt.f64 t)
4.0ms
(*.f64 z #s(literal 2 binary64))
Results
AccuracySegmentsBranch
98.1%1x
98.1%1y
98.1%1z
98.1%1t
98.1%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))))
98.1%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)))
98.1%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))
98.1%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
98.1%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
98.1%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
98.1%1(*.f64 y #s(literal 27 binary64))
98.1%1(*.f64 z #s(literal 2 binary64))
98.1%1(sqrt.f64 t)
Compiler

Compiled 135 to 108 computations (20% saved)

regimes48.0ms (0.2%)

Memory
-30.5MiB live, 95.2MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z))))) #s(literal 1/3 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 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 3 binary64))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))))
Outputs
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 1/3 binary64))
Calls

13 calls:

8.0ms
(sqrt.f64 t)
6.0ms
(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
x
3.0ms
(*.f64 z #s(literal 2 binary64))
3.0ms
(*.f64 y #s(literal 27 binary64))
Results
AccuracySegmentsBranch
98.1%1x
98.1%1y
98.1%1z
98.1%1t
98.1%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))))
98.1%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)))
98.1%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))
98.1%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
98.1%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
98.1%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
98.1%1(*.f64 y #s(literal 27 binary64))
98.1%1(*.f64 z #s(literal 2 binary64))
98.1%1(sqrt.f64 t)
Compiler

Compiled 135 to 108 computations (20% saved)

regimes18.0ms (0.1%)

Memory
17.4MiB live, 56.4MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

13 calls:

2.0ms
(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)))
1.0ms
(sqrt.f64 t)
1.0ms
(*.f64 z #s(literal 2 binary64))
1.0ms
(*.f64 y #s(literal 27 binary64))
1.0ms
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
Results
AccuracySegmentsBranch
96.9%1x
96.9%1y
96.9%1z
96.9%1t
96.9%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
96.9%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
96.9%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
96.9%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
96.9%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
96.9%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
96.9%1(*.f64 y #s(literal 27 binary64))
96.9%1(*.f64 z #s(literal 2 binary64))
96.9%1(sqrt.f64 t)
Compiler

Compiled 135 to 108 computations (20% saved)

simplify11.0ms (0%)

Memory
-14.0MiB live, 25.7MiB allocated
Algorithm
1×egg-herbie
Rules
48×*-commutative_binary64
10×+-commutative_binary64
10×sub-neg_binary64
10×neg-sub0_binary64
10×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064113
195113
2107113
3116113
4119113
5120113
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)) (sqrt.f64 t)))))))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))))))
(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 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 1/3 binary64))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64)))
Outputs
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)) (sqrt.f64 t)))))))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))))) #s(literal -1/3 binary64)))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))))))))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))) #s(literal -1/3 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 x (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)))))) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 #s(literal 1/3 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) y) z)) x) (sqrt.f64 t)))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))))

soundness949.0ms (3%)

Memory
-5.9MiB live, 686.7MiB allocated
Rules
9 172×lower-fma.f32
9 164×lower-fma.f64
7 434×lower-fma.f32
7 428×lower-fma.f64
5 832×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054290
096216
1318202
22234202
08511202
058352
0103470
1321278
22059278
08270278
063348
0101466
1290257
21887247
08178247
0291496
1611484
21901476
37191476
425471476
544301476
662031476
080641476
01850
02950
16942
238736
3374236
0821436
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node 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 395 to 204 computations (48.4% saved)

preprocess67.0ms (0.2%)

Memory
15.5MiB live, 170.8MiB allocated
Remove

(sort y z)

Compiler

Compiled 624 to 408 computations (34.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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