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

Time bar (total: 24.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze350.0ms (1.4%)

Memory
-3.4MiB live, 616.9MiB 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)

sample6.6s (26.4%)

Memory
-45.7MiB live, 5 691.6MiB allocated
Samples
2.7s15 789×0invalid
1.6s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.6s
ival-div: 1.2s (45.6% of total)
ival-mult: 914.0ms (35.5% of total)
ival-sqrt: 239.0ms (9.3% of total)
ival-acos: 176.0ms (6.8% of total)
exact: 43.0ms (1.7% of total)
ival-true: 19.0ms (0.7% of total)
ival-assert: 10.0ms (0.4% of total)
Bogosity

explain348.0ms (1.4%)

Memory
11.4MiB live, 435.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
200-2(4.3046505187819627e-240 -1.3723979251303228e+75 1.100980704297673e-144 3.5034742481217283e+286)(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
160-4(-8.037904028003873e-131 -1.7771182097031464e-115 4.8269965316876657e+303 5.405311270405887e+184)(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
00-0-t
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
01(4.109701941073549e-136 8.1714986887844025e+186 2.7094276519169925e+279 7.043741220176027e-57)0-(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
00-0-(*.f64 y #s(literal 27 binary64))
00-0-y
00-0-(/.f64 x (*.f64 y #s(literal 27 binary64)))
00-0-#s(literal 27 binary64)
00-0-z
00-0-(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
00-0-(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
00-0-#s(literal 2 binary64)
00-0-(*.f64 z #s(literal 2 binary64))
00-0-(sqrt.f64 t)
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))u/n180
↳(/.f64 x (*.f64 y #s(literal 27 binary64)))underflow50
↳(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))underflow49
*.f64(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))n*u120
*.f64(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))n*u10
Confusion
Predicted +Predicted -
+00
-31225
Precision
0.0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-310225
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
0225
131
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-100
Precision?
0.0
Recall?
0/0
Samples
97.0ms512×0valid
Compiler

Compiled 203 to 58 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-div: 49.0ms (65.8% of total)
ival-mult: 15.0ms (20.1% of total)
ival-acos: 5.0ms (6.7% of total)
ival-sqrt: 4.0ms (5.4% of total)
exact: 1.0ms (1.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess122.0ms (0.5%)

Memory
-9.7MiB live, 149.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

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

(sort y z)

Compiler

Compiled 19 to 18 computations (5.3% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.5%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify91.0ms (0.4%)

Memory
-25.1MiB live, 75.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
cost-diff320
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
cost-diff320
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
Iterations

Useful iterations: 2 (0.0ms)

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

localize115.0ms (0.5%)

Memory
13.8MiB live, 90.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.24609375
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
accuracy0.9765625
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
accuracy3.356690887275699
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
accuracy3.6544164452475756
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
Samples
105.0ms256×0valid
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 (39.7% of total)
ival-div: 6.0ms (34% of total)
ival-sqrt: 2.0ms (11.3% of total)
ival-acos: 2.0ms (11.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series61.0ms (0.2%)

Memory
-3.7MiB live, 70.1MiB allocated
Counts
5 → 156
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (patch (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor inf t) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor inf t) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor inf t) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor inf t) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) #<representation binary64>) () ())) ())
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Calls

12 calls:

TimeVariablePointExpression
29.0ms
z
@inf
((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
3.0ms
y
@0
((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
3.0ms
t
@-inf
((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
3.0ms
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)))

simplify149.0ms (0.6%)

Memory
-8.8MiB live, 115.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0291496
1611484
21901476
37191476
425471476
544301476
662031476
080641476
Stop Event
1×iter limit
1×node limit
Counts
156 → 156
Calls
Call 1
Inputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
Outputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64))) #s(literal 1/3 binary64))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/9 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(* 1/9 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(* 1/9 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(* 1/9 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
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rewrite155.0ms (0.6%)

Memory
5.7MiB live, 194.7MiB allocated
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
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eval105.0ms (0.4%)

Memory
21.0MiB live, 185.6MiB allocated
Compiler

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

prune87.0ms (0.3%)

Memory
-31.1MiB live, 88.8MiB allocated
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New6722674
Fresh000
Picked101
Done000
Total6732675
Accuracy
98.5%
Counts
675 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.5%
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
▶98.5%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
Compiler

Compiled 49 to 36 computations (26.5% saved)

simplify294.0ms (1.2%)

Memory
41.6MiB live, 118.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
cost-diff0
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))
cost-diff0
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
cost-diff128
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
cost-diff0
(sqrt.f64 t)
cost-diff0
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
cost-diff0
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
cost-diff0
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025216
042216
162216
2108216
3224216
4426216
5646216
6926216
71438216
82341216
93522216
104030216
114268216
124280216
134281216
144559216
154703216
164703216
174703216
184707216
194899216
205851216
216063216
226067216
236067216
246067216
256067216
06067214
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(sqrt.f64 t)
t
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
#s(literal 1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z
#s(literal 1/3 binary64)
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))
(asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(sqrt.f64 t)
t
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
#s(literal 1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z
#s(literal 2 binary64)
#s(literal 1/3 binary64)
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))
#s(literal 1/2 binary64)
Outputs
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))
(sqrt.f64 t)
t
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z
#s(literal 1/3 binary64)
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64))))))
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))
(pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64))
(asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))
(sqrt.f64 t)
t
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z
#s(literal 2 binary64)
#s(literal 1/3 binary64)
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))))
#s(literal 1/2 binary64)

localize96.0ms (0.4%)

Memory
-14.3MiB live, 142.1MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.21484375
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
accuracy0.98828125
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
accuracy3.356690887275699
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
accuracy3.724290680221898
(/.f64 (/.f64 x y) z)
accuracy0.21484375
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
accuracy0.9765625
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
accuracy3.356690887275699
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
accuracy3.724290680221898
(/.f64 (/.f64 x y) z)
Samples
77.0ms256×0valid
Compiler

Compiled 220 to 28 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-mult: 24.0ms (47.4% of total)
ival-div: 8.0ms (15.8% of total)
const: 7.0ms (13.8% of total)
ival-acos: 2.0ms (3.9% of total)
ival-asin: 2.0ms (3.9% of total)
ival-sqrt: 2.0ms (3.9% of total)
ival-pow2: 2.0ms (3.9% of total)
ival-pi: 1.0ms (2% of total)
ival-add: 1.0ms (2% of total)
ival-sub: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series102.0ms (0.4%)

Memory
-11.5MiB live, 64.6MiB allocated
Counts
10 → 372
Calls
Call 1
Inputs
#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (patch (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) (patch (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) #<representation binary64>) () ())
#s(alt (sqrt.f64 t) (patch (sqrt.f64 t) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) (patch (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) (patch (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (patch (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (patch (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (patch (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (patch (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (patch (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (patch (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) (patch (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) (patch (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) #<representation binary64>) () ())) ())
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#s(alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (taylor -inf x) (#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (taylor -inf x) (#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (taylor -inf x) (#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (taylor -inf x) (#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) (patch (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) (patch (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) (patch (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) (patch (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (taylor -inf x) (#s(alt (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) (patch (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (taylor -inf x) (#s(alt (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) (patch (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (taylor -inf x) (#s(alt (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) (patch (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (taylor -inf x) (#s(alt (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) (patch (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (patch (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (patch (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (patch (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (patch (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
25.0ms
y
@0
((* (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (sqrt t) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) (* 1/4 (* (PI) (PI))) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)))
7.0ms
t
@0
((* (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (sqrt t) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) (* 1/4 (* (PI) (PI))) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)))
4.0ms
t
@-inf
((* (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (sqrt t) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) (* 1/4 (* (PI) (PI))) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)))
4.0ms
x
@-inf
((* (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (sqrt t) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) (* 1/4 (* (PI) (PI))) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)))
3.0ms
x
@inf
((* (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (sqrt t) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) (* 1/4 (* (PI) (PI))) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)))

simplify180.0ms (0.7%)

Memory
-3.4MiB live, 178.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0485904
11065808
22985784
39975784
423655784
551385784
668455784
080415640
Stop Event
1×iter limit
1×node limit
Counts
372 → 372
Calls
Call 1
Inputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(sqrt t)
(sqrt t)
(sqrt t)
(sqrt t)
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(sqrt t)
(sqrt t)
(sqrt t)
(sqrt t)
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
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(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
Outputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))
(sqrt t)
(sqrt.f64 t)
(sqrt t)
(sqrt.f64 t)
(sqrt t)
(sqrt.f64 t)
(sqrt t)
(sqrt.f64 t)
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64))))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64))))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64))))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64))))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))
(sqrt t)
(sqrt.f64 t)
(sqrt t)
(sqrt.f64 t)
(sqrt t)
(sqrt.f64 t)
(sqrt t)
(sqrt.f64 t)
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64))))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64))))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64))))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64))))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal -1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal -1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal -1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal -1/18 binary64)) x)) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal -1/18 binary64)) x))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal -1/18 binary64)) x))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal -1/18 binary64)) x))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal -1/18 binary64)) x))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))
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(/ x (* y z))
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(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64)))
(/ 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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(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))
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(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))
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(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))
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(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
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(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))))
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(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64))))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64))))))
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(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64)))
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(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64)))
(/ x (* y z))
(/.f64 x (*.f64 z y))
(/ x (* y z))
(/.f64 x (*.f64 z y))
(/ x (* y z))
(/.f64 x (*.f64 z y))
(/ x (* y z))
(/.f64 x (*.f64 z y))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))

rewrite271.0ms (1.1%)

Memory
43.6MiB live, 292.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025129
042106
1132106
2879106
08361105
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
10 → 966
Calls
Call 1
Inputs
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(sqrt.f64 t)
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (/.f64 x y) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
Outputs
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eval429.0ms (1.7%)

Memory
-15.7MiB live, 767.5MiB allocated
Compiler

Compiled 79 614 to 4 412 computations (94.5% saved)

prune7.8s (31.4%)

Memory
-30.3MiB live, 204.3MiB allocated
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2 03552 040
Fresh000
Picked112
Done000
Total2 03662 042
Accuracy
100.0%
Counts
2 042 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal -1 binary64))
▶100.0%
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
▶98.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))))
▶98.1%
(/.f64 #s(literal 1/3 binary64) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)))
▶98.0%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64))
✓98.5%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
Compiler

Compiled 217 to 183 computations (15.7% saved)

simplify918.0ms (3.7%)

Memory
34.8MiB live, 447.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))
cost-diff0
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))
cost-diff0
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))))
cost-diff6848
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal -1 binary64))
cost-diff0
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))
cost-diff0
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))
cost-diff0
(pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64))
cost-diff6848
(/.f64 #s(literal 1/3 binary64) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)))
cost-diff0
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))
cost-diff0
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))
cost-diff0
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))))
cost-diff1088
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))))
cost-diff0
(sqrt.f64 t)
cost-diff0
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))
cost-diff0
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))
cost-diff0
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64))
cost-diff0
(-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))
cost-diff0
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
cost-diff128
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
cost-diff12608
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045477
078471
1126455
2226451
3401451
4699451
51071451
61597451
72450451
83974451
95139451
106083451
116779451
127268451
137372451
147840451
157856451
167874451
177874451
09240449
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
#s(literal 1/4 binary64)
(pow.f64 (PI.f64) #s(literal 3/2 binary64))
(PI.f64)
#s(literal 3/2 binary64)
(pow.f64 (PI.f64) #s(literal 1/4 binary64))
(pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))
(asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(sqrt.f64 t)
t
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
#s(literal 1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z
#s(literal 2 binary64)
#s(literal 1/3 binary64)
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))
#s(literal 1/2 binary64)
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))
(sqrt.f64 t)
t
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))
(*.f64 x #s(literal 1/18 binary64))
x
#s(literal 1/18 binary64)
(*.f64 z y)
z
y
#s(literal 1/3 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))))
#s(literal 1 binary64)
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))))
#s(literal 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
(/.f64 #s(literal 1/3 binary64) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)))
#s(literal 1/3 binary64)
(pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64))
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
z
(/.f64 x y)
x
y
#s(literal -1 binary64)
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal -1 binary64))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))))
#s(literal 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 binary64)
Outputs
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64))))))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))
(-.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(pow.f64 (PI.f64) #s(literal 3/2 binary64))
(PI.f64)
#s(literal 3/2 binary64)
(pow.f64 (PI.f64) #s(literal 1/4 binary64))
(pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))
(pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64))
(asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))
(sqrt.f64 t)
t
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z
#s(literal 2 binary64)
#s(literal 1/3 binary64)
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))))
#s(literal 1/2 binary64)
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))
(acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64))))
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))
(sqrt.f64 t)
t
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))
(*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64))
(*.f64 x #s(literal 1/18 binary64))
x
#s(literal 1/18 binary64)
(*.f64 z y)
z
y
#s(literal 1/3 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))))
#s(literal 3 binary64)
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))
(acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
z
(/.f64 x y)
x
y
(/.f64 #s(literal 1/3 binary64) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64))
(pow.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))) #s(literal -1 binary64))
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))
(acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
z
(/.f64 x y)
x
y
#s(literal -1 binary64)
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal -1 binary64))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))))
#s(literal 3 binary64)
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))
(acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
z
(/.f64 x y)
x
y
#s(literal -1 binary64)

localize272.0ms (1.1%)

Memory
-28.5MiB live, 307.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))))
accuracy0.21484375
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)
accuracy0.36328125
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
accuracy5.0138104531015815
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))
accuracy0.21484375
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)
accuracy0.36328125
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
accuracy0.96875
(/.f64 #s(literal 1/3 binary64) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)))
accuracy5.0138104531015815
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))
accuracy0.21484375
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)
accuracy0.36328125
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
accuracy0.96875
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))))
accuracy5.0138104531015815
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))
accuracy0.37890625
(*.f64 x #s(literal 1/18 binary64))
accuracy0.9765625
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64))
accuracy3.356690887275699
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))
accuracy6.484088409028825
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))
accuracy0.98828125
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
accuracy1.0
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
accuracy3.356690887275699
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
accuracy3.724290680221898
(/.f64 (/.f64 x y) z)
Samples
232.0ms256×0valid
Compiler

Compiled 481 to 48 computations (90% saved)

Precisions
Click to see histograms. Total time spent on operations: 201.0ms
ival-mult: 92.0ms (45.8% of total)
ival-pow: 57.0ms (28.4% of total)
const: 17.0ms (8.5% of total)
ival-div: 15.0ms (7.5% of total)
ival-pi: 6.0ms (3% of total)
ival-acos: 4.0ms (2% of total)
ival-asin: 2.0ms (1% of total)
ival-sqrt: 2.0ms (1% of total)
ival-pow2: 2.0ms (1% of total)
ival-add: 1.0ms (0.5% of total)
ival-sub: 1.0ms (0.5% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series104.0ms (0.4%)

Memory
22.5MiB live, 218.7MiB allocated
Counts
21 → 804
Calls
Call 1
Inputs
#s(alt (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) (patch (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) (patch (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))) (patch (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))) #<representation binary64>) () ())
#s(alt (sqrt.f64 t) (patch (sqrt.f64 t) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) (patch (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #<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 (*.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 #s(literal 1/3 binary64) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1/3 binary64) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) (patch (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) (patch (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)) (patch (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 1/18 binary64)) (patch (*.f64 x #s(literal 1/18 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (patch (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) #<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>) () ())
Outputs
#s(alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (taylor 0 t) (#s(alt (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (taylor 0 t) (#s(alt (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (taylor 0 t) (#s(alt (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (taylor 0 t) (#s(alt (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) (patch (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) #<representation binary64>) () ())) ())
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#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) (patch (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) (patch (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) (patch (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) (patch (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)) (patch (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)) (patch (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)) (patch (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)) (patch (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/18 binary64)) (patch (*.f64 x #s(literal 1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/18 binary64)) (patch (*.f64 x #s(literal 1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/18 binary64)) (patch (*.f64 x #s(literal 1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/18 binary64)) (patch (*.f64 x #s(literal 1/18 binary64)) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
12.0ms
t
@0
((* (* (* 1/4 (pow (PI) 3/2)) (pow (PI) 1/4)) (pow (PI) 1/4)) (* (- (* (* (* 1/4 (pow (PI) 3/2)) (pow (PI) 1/4)) (pow (PI) 1/4)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (/ (* (- (* (* (* 1/4 (pow (PI) 3/2)) (pow (PI) 1/4)) (pow (PI) 1/4)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* (* (* 1/4 (pow (PI) 3/2)) (pow (PI) 1/4)) (pow (PI) 1/4)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) (* (acos (* (sqrt t) (/ (* x 1/18) (* z y)))) 1/3) (acos (* (sqrt t) (/ (* x 1/18) (* z y)))) (* (sqrt t) (/ (* x 1/18) (* z y))) (sqrt t) (/ 1 (/ 3 (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))))) (/ 3 (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y)))) (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) (* (/ (* 1/18 (sqrt t)) z) (/ x y)) (/ 1/3 (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1)) (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) (pow (/ 3 (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y)))) -1) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (/ (* x 1/18) (* z y)) (* x 1/18) (* 1/18 (sqrt t)) (/ (* 1/18 (sqrt t)) z))
10.0ms
t
@-inf
((* (* (* 1/4 (pow (PI) 3/2)) (pow (PI) 1/4)) (pow (PI) 1/4)) (* (- (* (* (* 1/4 (pow (PI) 3/2)) (pow (PI) 1/4)) (pow (PI) 1/4)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (/ (* (- (* (* (* 1/4 (pow (PI) 3/2)) (pow (PI) 1/4)) (pow (PI) 1/4)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* (* (* 1/4 (pow (PI) 3/2)) (pow (PI) 1/4)) (pow (PI) 1/4)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) (* (acos (* (sqrt t) (/ (* x 1/18) (* z y)))) 1/3) (acos (* (sqrt t) (/ (* x 1/18) (* z y)))) (* (sqrt t) (/ (* x 1/18) (* z y))) (sqrt t) (/ 1 (/ 3 (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))))) (/ 3 (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y)))) (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) (* (/ (* 1/18 (sqrt t)) z) (/ x y)) (/ 1/3 (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1)) (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) (pow (/ 3 (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y)))) -1) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (/ (* x 1/18) (* z y)) (* x 1/18) (* 1/18 (sqrt t)) (/ (* 1/18 (sqrt t)) z))
7.0ms
x
@inf
((* (* (* 1/4 (pow (PI) 3/2)) (pow (PI) 1/4)) (pow (PI) 1/4)) (* (- (* (* (* 1/4 (pow (PI) 3/2)) (pow (PI) 1/4)) (pow (PI) 1/4)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (/ (* (- (* (* (* 1/4 (pow (PI) 3/2)) (pow (PI) 1/4)) (pow (PI) 1/4)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* (* (* 1/4 (pow (PI) 3/2)) (pow (PI) 1/4)) (pow (PI) 1/4)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) (* (acos (* (sqrt t) (/ (* x 1/18) (* z y)))) 1/3) (acos (* (sqrt t) (/ (* x 1/18) (* z y)))) (* (sqrt t) (/ (* x 1/18) (* z y))) (sqrt t) (/ 1 (/ 3 (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))))) (/ 3 (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y)))) (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) (* (/ (* 1/18 (sqrt t)) z) (/ x y)) (/ 1/3 (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1)) (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) (pow (/ 3 (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y)))) -1) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (/ (* x 1/18) (* z y)) (* x 1/18) (* 1/18 (sqrt t)) (/ (* 1/18 (sqrt t)) z))
4.0ms
x
@-inf
((* (* (* 1/4 (pow (PI) 3/2)) (pow (PI) 1/4)) (pow (PI) 1/4)) (* (- (* (* (* 1/4 (pow (PI) 3/2)) (pow (PI) 1/4)) (pow (PI) 1/4)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (/ (* (- (* (* (* 1/4 (pow (PI) 3/2)) (pow (PI) 1/4)) (pow (PI) 1/4)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* (* (* 1/4 (pow (PI) 3/2)) (pow (PI) 1/4)) (pow (PI) 1/4)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) (* (acos (* (sqrt t) (/ (* x 1/18) (* z y)))) 1/3) (acos (* (sqrt t) (/ (* x 1/18) (* z y)))) (* (sqrt t) (/ (* x 1/18) (* z y))) (sqrt t) (/ 1 (/ 3 (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))))) (/ 3 (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y)))) (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) (* (/ (* 1/18 (sqrt t)) z) (/ x y)) (/ 1/3 (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1)) (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) (pow (/ 3 (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y)))) -1) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (/ (* x 1/18) (* z y)) (* x 1/18) (* 1/18 (sqrt t)) (/ (* 1/18 (sqrt t)) z))
4.0ms
y
@0
((* (* (* 1/4 (pow (PI) 3/2)) (pow (PI) 1/4)) (pow (PI) 1/4)) (* (- (* (* (* 1/4 (pow (PI) 3/2)) (pow (PI) 1/4)) (pow (PI) 1/4)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (/ (* (- (* (* (* 1/4 (pow (PI) 3/2)) (pow (PI) 1/4)) (pow (PI) 1/4)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* (* (* 1/4 (pow (PI) 3/2)) (pow (PI) 1/4)) (pow (PI) 1/4)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) (* (acos (* (sqrt t) (/ (* x 1/18) (* z y)))) 1/3) (acos (* (sqrt t) (/ (* x 1/18) (* z y)))) (* (sqrt t) (/ (* x 1/18) (* z y))) (sqrt t) (/ 1 (/ 3 (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))))) (/ 3 (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y)))) (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) (* (/ (* 1/18 (sqrt t)) z) (/ x y)) (/ 1/3 (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1)) (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) (pow (/ 3 (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y)))) -1) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (/ (* x 1/18) (* z y)) (* x 1/18) (* 1/18 (sqrt t)) (/ (* 1/18 (sqrt t)) z))

simplify200.0ms (0.8%)

Memory
19.9MiB live, 208.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06310908
113310668
234510620
3144010620
4396210620
5642610620
0809010476
Stop Event
1×iter limit
1×node limit
Counts
804 → 804
Calls
Call 1
Inputs
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(sqrt t)
(sqrt t)
(sqrt t)
(sqrt t)
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 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 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (sqrt t))
(* 1/18 (sqrt t))
(* 1/18 (sqrt t))
(* 1/18 (sqrt t))
(* 1/18 (* (sqrt t) (/ 1 z)))
(* 1/18 (* (sqrt t) (/ 1 z)))
(* 1/18 (* (sqrt t) (/ 1 z)))
(* 1/18 (* (sqrt t) (/ 1 z)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(sqrt t)
(sqrt t)
(sqrt t)
(sqrt t)
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 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 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (sqrt t))
(* 1/18 (sqrt t))
(* 1/18 (sqrt t))
(* 1/18 (sqrt t))
(* 1/18 (* (sqrt t) (/ 1 z)))
(* 1/18 (* (sqrt t) (/ 1 z)))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(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))))))
(/ 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 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
Outputs
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(sqrt t)
(sqrt.f64 t)
(sqrt t)
(sqrt.f64 t)
(sqrt t)
(sqrt.f64 t)
(sqrt t)
(sqrt.f64 t)
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (sqrt t))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
(* 1/18 (sqrt t))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
(* 1/18 (sqrt t))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
(* 1/18 (sqrt t))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ 1 z)))
(*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ 1 z)))
(*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ 1 z)))
(*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ 1 z)))
(*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(/ x (* y z))
(/.f64 x (*.f64 z y))
(/ x (* y z))
(/.f64 x (*.f64 z y))
(/ x (* y z))
(/.f64 x (*.f64 z y))
(/ x (* y z))
(/.f64 x (*.f64 z y))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64))
(/ x (* y z))
(/.f64 x (*.f64 z y))
(/ x (* y z))
(/.f64 x (*.f64 z y))
(/ x (* y z))
(/.f64 x (*.f64 z y))
(/ x (* y z))
(/.f64 x (*.f64 z y))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))

rewrite301.0ms (1.2%)

Memory
-18.0MiB live, 271.7MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045276
078394
1257354
21484215
08587215
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 1 952
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
(-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))
(sqrt.f64 t)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))))
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))
(/.f64 #s(literal 1/3 binary64) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)))
(pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal -1 binary64))
(/.f64 (/.f64 x y) z)
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))
(*.f64 x #s(literal 1/18 binary64))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)
Outputs
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eval938.0ms (3.8%)

Memory
-55.9MiB live, 1 450.0MiB allocated
Compiler

Compiled 137 197 to 7 172 computations (94.8% saved)

prune1.9s (7.6%)

Memory
-35.8MiB live, 372.9MiB allocated
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New4 26534 268
Fresh000
Picked325
Done011
Total4 26864 274
Accuracy
100.0%
Counts
4 274 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.6%
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal -1 binary64))
▶99.5%
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y))))) #s(literal -1 binary64))
▶96.9%
(/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))
▶96.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)))))
✓98.0%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64))
✓98.5%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
Compiler

Compiled 84 to 84 computations (0% saved)

simplify8.0ms (0%)

Memory
17.3MiB live, 17.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y)))
cost-diff0
(acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y))))
cost-diff0
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y)))))
cost-diff6848
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y))))) #s(literal -1 binary64))
cost-diff0
(/.f64 (*.f64 (sqrt.f64 t) x) y)
cost-diff0
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))
cost-diff0
(acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))
cost-diff0
(/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))
cost-diff0
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x)
cost-diff0
(acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)))
cost-diff0
(/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))))
cost-diff1088
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027199
046195
178195
2151195
3258195
4290195
0290195
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)))))
#s(literal 1 binary64)
(/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))))
#s(literal 3 binary64)
(acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x)
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
x
(*.f64 z y)
z
y
(/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))
(acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))
(/.f64 (*.f64 (sqrt.f64 t) x) y)
(*.f64 (sqrt.f64 t) x)
(sqrt.f64 t)
t
x
y
(/.f64 #s(literal 1/18 binary64) z)
#s(literal 1/18 binary64)
z
#s(literal 3 binary64)
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y))))) #s(literal -1 binary64))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y)))))
#s(literal 3 binary64)
(acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y))))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y)))
x
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(*.f64 z y)
z
y
#s(literal -1 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x) (sqrt.f64 t))))
#s(literal 1 binary64)
(/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x) (sqrt.f64 t))))
#s(literal 3 binary64)
(acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x) (sqrt.f64 t)))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x) (sqrt.f64 t))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x)
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
x
(*.f64 z y)
(*.f64 y z)
z
y
(/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))
(/.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x) (sqrt.f64 t))) #s(literal 3 binary64))
(acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x) (sqrt.f64 t)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x) (sqrt.f64 t))
(/.f64 (*.f64 (sqrt.f64 t) x) y)
(/.f64 (*.f64 x (sqrt.f64 t)) y)
(*.f64 (sqrt.f64 t) x)
(*.f64 x (sqrt.f64 t))
(sqrt.f64 t)
t
x
y
(/.f64 #s(literal 1/18 binary64) z)
#s(literal 1/18 binary64)
z
#s(literal 3 binary64)
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y))))) #s(literal -1 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x) (sqrt.f64 t))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y)))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x) (sqrt.f64 t))))
#s(literal 3 binary64)
(acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x) (sqrt.f64 t)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y)))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x) (sqrt.f64 t))
x
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(*.f64 z y)
(*.f64 y z)
z
y
#s(literal -1 binary64)

localize78.0ms (0.3%)

Memory
2.5MiB live, 199.8MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y)))))
accuracy0.36328125
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
accuracy4.265284924887833
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y))
accuracy4.783705243351977
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y)))
accuracy0.3359375
(/.f64 #s(literal 1/18 binary64) z)
accuracy0.97265625
(/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))
accuracy3.659577933119984
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))
accuracy3.721438811349329
(/.f64 (*.f64 (sqrt.f64 t) x) y)
accuracy0.19140625
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x)
accuracy0.36328125
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
accuracy0.96875
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)))))
accuracy8.570218879428639
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))
Samples
59.0ms256×0valid
Compiler

Compiled 201 to 29 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-div: 12.0ms (32.7% of total)
ival-mult: 9.0ms (24.5% of total)
ival-acos: 6.0ms (16.3% of total)
const: 4.0ms (10.9% of total)
ival-sqrt: 3.0ms (8.2% of total)
ival-pow: 3.0ms (8.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series53.0ms (0.2%)

Memory
10.2MiB live, 131.2MiB allocated
Counts
16 → 648
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)))) (patch (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)))) #<representation binary64>) () ())
#s(alt (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) (patch (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (patch (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) #<representation binary64>) () ())
#s(alt (/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)) (patch (/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (patch (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)) (patch (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (sqrt.f64 t) x) y) (patch (/.f64 (*.f64 (sqrt.f64 t) x) y) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y))))) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y))))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y))))) (patch (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y))))) #<representation binary64>) () ())
#s(alt (acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y)))) (patch (acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y)))) #<representation binary64>) () ())
#s(alt (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y))) (patch (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)) (patch (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (patch (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/18 binary64) z) (patch (/.f64 #s(literal 1/18 binary64) z) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y)) (patch (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y)) #<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 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))))) #<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 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))))) #<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 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))))) #<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 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))))) #<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 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)))) (patch (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)))) #<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 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)))) (patch (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)))) #<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 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)))) (patch (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)))) #<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 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)))) (patch (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) (patch (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) (patch (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) (patch (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) (patch (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) x)) (taylor 0 t) (#s(alt (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (patch (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) x)) (taylor 0 t) (#s(alt (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (patch (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) x)) (taylor 0 t) (#s(alt (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (patch (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) x)) (taylor 0 t) (#s(alt (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (patch (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)) (patch (/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)) (patch (/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)) (patch (/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)) (patch (/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (patch (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (patch (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (patch (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (patch (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)) (patch (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)) (patch (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)) (patch (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)) (patch (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt t) (/ x y)) (taylor 0 t) (#s(alt (/.f64 (*.f64 (sqrt.f64 t) x) y) (patch (/.f64 (*.f64 (sqrt.f64 t) x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt t) (/ x y)) (taylor 0 t) (#s(alt (/.f64 (*.f64 (sqrt.f64 t) x) y) (patch (/.f64 (*.f64 (sqrt.f64 t) x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt t) (/ x y)) (taylor 0 t) (#s(alt (/.f64 (*.f64 (sqrt.f64 t) x) y) (patch (/.f64 (*.f64 (sqrt.f64 t) x) y) #<representation binary64>) () ())) ())
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#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)))) (patch (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.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 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) (patch (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #<representation binary64>) () ())) ())
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#s(alt (* 1/18 (* (sqrt t) x)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (patch (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) x)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (patch (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) x)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (patch (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) #<representation binary64>) () ())) ())
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#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)) (patch (/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor -inf x) (#s(alt (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (patch (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #<representation binary64>) () ())) ())
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#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)) (patch (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt t) (/ x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sqrt.f64 t) x) y) (patch (/.f64 (*.f64 (sqrt.f64 t) x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt t) (/ x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sqrt.f64 t) x) y) (patch (/.f64 (*.f64 (sqrt.f64 t) x) y) #<representation binary64>) () ())) ())
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#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y))))) (patch (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y))))) (patch (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.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 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y)))) (patch (acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor -inf x) (#s(alt (acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y)))) (patch (acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor -inf x) (#s(alt (acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y)))) (patch (acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y))) (patch (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y))) (patch (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y))) (patch (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y))) (patch (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)) (patch (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)) (patch (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)) (patch (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)) (patch (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
6.0ms
t
@-inf
((/ 1 (/ 3 (acos (/ (* (* 1/18 (sqrt t)) x) (* z y))))) (/ 3 (acos (/ (* (* 1/18 (sqrt t)) x) (* z y)))) (acos (/ (* (* 1/18 (sqrt t)) x) (* z y))) (* (* 1/18 (sqrt t)) x) (/ (acos (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3) (acos (* (/ (* (sqrt t) x) y) (/ 1/18 z))) (* (/ (* (sqrt t) x) y) (/ 1/18 z)) (/ (* (sqrt t) x) y) (pow (/ 3 (acos (* x (/ (* 1/18 (sqrt t)) (* z y))))) -1) (/ 3 (acos (* x (/ (* 1/18 (sqrt t)) (* z y))))) (acos (* x (/ (* 1/18 (sqrt t)) (* z y)))) (* x (/ (* 1/18 (sqrt t)) (* z y))) (/ (* (* 1/18 (sqrt t)) x) (* z y)) (* 1/18 (sqrt t)) (/ 1/18 z) (/ (* 1/18 (sqrt t)) (* z y)))
3.0ms
y
@-inf
((/ 1 (/ 3 (acos (/ (* (* 1/18 (sqrt t)) x) (* z y))))) (/ 3 (acos (/ (* (* 1/18 (sqrt t)) x) (* z y)))) (acos (/ (* (* 1/18 (sqrt t)) x) (* z y))) (* (* 1/18 (sqrt t)) x) (/ (acos (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3) (acos (* (/ (* (sqrt t) x) y) (/ 1/18 z))) (* (/ (* (sqrt t) x) y) (/ 1/18 z)) (/ (* (sqrt t) x) y) (pow (/ 3 (acos (* x (/ (* 1/18 (sqrt t)) (* z y))))) -1) (/ 3 (acos (* x (/ (* 1/18 (sqrt t)) (* z y))))) (acos (* x (/ (* 1/18 (sqrt t)) (* z y)))) (* x (/ (* 1/18 (sqrt t)) (* z y))) (/ (* (* 1/18 (sqrt t)) x) (* z y)) (* 1/18 (sqrt t)) (/ 1/18 z) (/ (* 1/18 (sqrt t)) (* z y)))
3.0ms
t
@0
((/ 1 (/ 3 (acos (/ (* (* 1/18 (sqrt t)) x) (* z y))))) (/ 3 (acos (/ (* (* 1/18 (sqrt t)) x) (* z y)))) (acos (/ (* (* 1/18 (sqrt t)) x) (* z y))) (* (* 1/18 (sqrt t)) x) (/ (acos (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3) (acos (* (/ (* (sqrt t) x) y) (/ 1/18 z))) (* (/ (* (sqrt t) x) y) (/ 1/18 z)) (/ (* (sqrt t) x) y) (pow (/ 3 (acos (* x (/ (* 1/18 (sqrt t)) (* z y))))) -1) (/ 3 (acos (* x (/ (* 1/18 (sqrt t)) (* z y))))) (acos (* x (/ (* 1/18 (sqrt t)) (* z y)))) (* x (/ (* 1/18 (sqrt t)) (* z y))) (/ (* (* 1/18 (sqrt t)) x) (* z y)) (* 1/18 (sqrt t)) (/ 1/18 z) (/ (* 1/18 (sqrt t)) (* z y)))
3.0ms
t
@inf
((/ 1 (/ 3 (acos (/ (* (* 1/18 (sqrt t)) x) (* z y))))) (/ 3 (acos (/ (* (* 1/18 (sqrt t)) x) (* z y)))) (acos (/ (* (* 1/18 (sqrt t)) x) (* z y))) (* (* 1/18 (sqrt t)) x) (/ (acos (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3) (acos (* (/ (* (sqrt t) x) y) (/ 1/18 z))) (* (/ (* (sqrt t) x) y) (/ 1/18 z)) (/ (* (sqrt t) x) y) (pow (/ 3 (acos (* x (/ (* 1/18 (sqrt t)) (* z y))))) -1) (/ 3 (acos (* x (/ (* 1/18 (sqrt t)) (* z y))))) (acos (* x (/ (* 1/18 (sqrt t)) (* z y)))) (* x (/ (* 1/18 (sqrt t)) (* z y))) (/ (* (* 1/18 (sqrt t)) x) (* z y)) (* 1/18 (sqrt t)) (/ 1/18 z) (/ (* 1/18 (sqrt t)) (* z y)))
2.0ms
x
@-inf
((/ 1 (/ 3 (acos (/ (* (* 1/18 (sqrt t)) x) (* z y))))) (/ 3 (acos (/ (* (* 1/18 (sqrt t)) x) (* z y)))) (acos (/ (* (* 1/18 (sqrt t)) x) (* z y))) (* (* 1/18 (sqrt t)) x) (/ (acos (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3) (acos (* (/ (* (sqrt t) x) y) (/ 1/18 z))) (* (/ (* (sqrt t) x) y) (/ 1/18 z)) (/ (* (sqrt t) x) y) (pow (/ 3 (acos (* x (/ (* 1/18 (sqrt t)) (* z y))))) -1) (/ 3 (acos (* x (/ (* 1/18 (sqrt t)) (* z y))))) (acos (* x (/ (* 1/18 (sqrt t)) (* z y)))) (* x (/ (* 1/18 (sqrt t)) (* z y))) (/ (* (* 1/18 (sqrt t)) x) (* z y)) (* 1/18 (sqrt t)) (/ 1/18 z) (/ (* 1/18 (sqrt t)) (* z y)))

simplify130.0ms (0.5%)

Memory
14.6MiB live, 168.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0487108
11046908
23026876
313946876
434116876
554086876
672176876
081936876
Stop Event
1×iter limit
1×node limit
Counts
648 → 648
Calls
Call 1
Inputs
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(/ 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))))))
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(* 1/18 (* (sqrt t) x))
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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))))))
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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))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(/ 3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
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(/ 1/18 z)
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(* 1/18 (* (sqrt t) (/ x (* y z))))
(/ 1/18 z)
(/ 1/18 z)
(/ 1/18 z)
(/ 1/18 z)
(* 1/18 (* (sqrt t) (/ 1 (* y z))))
(* 1/18 (* (sqrt t) (/ 1 (* y z))))
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(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ 1 (* y z))))
(* 1/18 (* (sqrt t) (/ 1 (* y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* (sqrt t) (/ x y))
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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))))))
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(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ 1 (* y z))))
(* 1/18 (* (sqrt t) (/ 1 (* y z))))
(* 1/18 (* (sqrt t) (/ 1 (* y z))))
(* 1/18 (* (sqrt t) (/ 1 (* 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)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* (sqrt t) (/ x y))
(* (sqrt t) (/ x y))
(* (sqrt t) (/ x y))
(* (sqrt t) (/ x y))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ 1 (* y z))))
(* 1/18 (* (sqrt t) (/ 1 (* y z))))
(* 1/18 (* (sqrt t) (/ 1 (* 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))
(* 1/18 (* (sqrt t) x))
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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)))))
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(* (sqrt t) (/ x y))
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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))))))
(/ 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))))))
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(* 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)))))
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(* 1/18 (* (sqrt t) x))
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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))))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* (sqrt t) (/ x y))
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(* (sqrt t) (/ x y))
(* (sqrt t) (/ 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))))))
(/ 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))))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 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))
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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))))
(* (sqrt t) (/ x y))
(* (sqrt t) (/ x y))
(* (sqrt t) (/ x y))
(* (sqrt t) (/ 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))))))
(/ 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))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
Outputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 1/3 binary64))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(* 1/18 (* (sqrt t) x))
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(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x)
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(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x)
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(/.f64 (*.f64 x (sqrt.f64 t)) y)
(* (sqrt t) (/ x y))
(/.f64 (*.f64 x (sqrt.f64 t)) y)
(* (sqrt t) (/ x y))
(/.f64 (*.f64 x (sqrt.f64 t)) y)
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 1/3 binary64))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))

rewrite250.0ms (1%)

Memory
-2.4MiB live, 161.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027159
046155
1154155
2707155
34592155
08609155
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 1 372
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)))))
(/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))))
(acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x)
(/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))
(acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))
(/.f64 (*.f64 (sqrt.f64 t) x) y)
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y))))) #s(literal -1 binary64))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y)))))
(acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y))))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y)))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(/.f64 #s(literal 1/18 binary64) z)
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y))
Outputs
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eval713.0ms (2.9%)

Memory
-0.0MiB live, 392.5MiB allocated
Compiler

Compiled 36 379 to 3 439 computations (90.5% saved)

prune315.0ms (1.3%)

Memory
-2.6MiB live, 114.4MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New2 04412 045
Fresh000
Picked123
Done033
Total2 04562 051
Accuracy
100.0%
Counts
2 051 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.6%
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal -1 binary64))
✓99.5%
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y))))) #s(literal -1 binary64))
96.6%
(/.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))
✓96.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)))))
✓98.0%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64))
✓98.5%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
Compiler

Compiled 310 to 168 computations (45.8% saved)

regimes99.0ms (0.4%)

Memory
-22.5MiB live, 72.0MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
(/.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))
(/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))))
(*.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))))
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y))))) #s(literal -1 binary64))
(/.f64 #s(literal 1/3 binary64) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
Outputs
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
Calls

13 calls:

46.0ms
(*.f64 y #s(literal 27 binary64))
10.0ms
t
4.0ms
(sqrt.f64 t)
4.0ms
(*.f64 z #s(literal 2 binary64))
4.0ms
(/.f64 x (*.f64 y #s(literal 27 binary64)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1t
100.0%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
100.0%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
100.0%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
100.0%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
100.0%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
100.0%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
100.0%1(*.f64 y #s(literal 27 binary64))
100.0%1(*.f64 z #s(literal 2 binary64))
100.0%1(sqrt.f64 t)
Compiler

Compiled 83 to 108 computations (-30.1% saved)

regimes65.0ms (0.3%)

Memory
-11.6MiB live, 66.3MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
(/.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))
(/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))))
(*.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))))
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y))))) #s(literal -1 binary64))
(/.f64 #s(literal 1/3 binary64) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
Outputs
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal -1 binary64))
Calls

13 calls:

17.0ms
x
8.0ms
(/.f64 x (*.f64 y #s(literal 27 binary64)))
4.0ms
y
4.0ms
(sqrt.f64 t)
4.0ms
(*.f64 y #s(literal 27 binary64))
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 83 to 108 computations (-30.1% saved)

regimes69.0ms (0.3%)

Memory
20.3MiB live, 61.5MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
(/.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))
(/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))))
(*.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))))
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y))))) #s(literal -1 binary64))
(/.f64 #s(literal 1/3 binary64) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)))
Outputs
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y))))) #s(literal -1 binary64))
Calls

13 calls:

29.0ms
(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)))
3.0ms
(sqrt.f64 t)
3.0ms
z
3.0ms
t
3.0ms
(*.f64 z #s(literal 2 binary64))
Results
AccuracySegmentsBranch
99.5%1x
99.5%1y
99.5%1z
99.5%1t
99.5%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
99.5%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
99.5%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
99.5%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
99.5%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
99.5%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
99.5%1(*.f64 y #s(literal 27 binary64))
99.5%1(*.f64 z #s(literal 2 binary64))
99.5%1(sqrt.f64 t)
Compiler

Compiled 83 to 108 computations (-30.1% saved)

regimes67.0ms (0.3%)

Memory
13.9MiB live, 53.0MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
(/.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))
(/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))))
(*.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 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
Calls

13 calls:

35.0ms
(/.f64 x (*.f64 y #s(literal 27 binary64)))
3.0ms
(sqrt.f64 t)
3.0ms
(*.f64 y #s(literal 27 binary64))
3.0ms
(*.f64 z #s(literal 2 binary64))
3.0ms
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
Results
AccuracySegmentsBranch
98.5%1x
98.5%1y
98.5%1z
98.5%1t
98.5%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
98.5%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
98.5%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
98.5%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
98.5%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
98.5%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
98.5%1(*.f64 y #s(literal 27 binary64))
98.5%1(*.f64 z #s(literal 2 binary64))
98.5%1(sqrt.f64 t)
Compiler

Compiled 83 to 108 computations (-30.1% saved)

regimes71.0ms (0.3%)

Memory
-6.4MiB live, 32.8MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

13 calls:

55.0ms
(sqrt.f64 t)
1.0ms
(*.f64 z #s(literal 2 binary64))
1.0ms
(*.f64 y #s(literal 27 binary64))
1.0ms
x
1.0ms
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
Results
AccuracySegmentsBranch
98.0%1x
98.0%1y
98.0%1z
98.0%1t
98.0%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
98.0%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
98.0%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
98.0%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
98.0%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
98.0%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
98.0%1(*.f64 y #s(literal 27 binary64))
98.0%1(*.f64 z #s(literal 2 binary64))
98.0%1(sqrt.f64 t)
Compiler

Compiled 83 to 108 computations (-30.1% saved)

simplify30.0ms (0.1%)

Memory
0.5MiB live, 39.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048100
164100
268100
370100
471100
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y))))) #s(literal -1 binary64))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64))
Outputs
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64)) (sqrt.f64 t)))))
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y))))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y)) x))) #s(literal -1 binary64))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)) (sqrt.f64 t))) #s(literal 1/3 binary64))

soundness888.0ms (3.6%)

Memory
-18.4MiB live, 382.7MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045276
078394
1257354
21484215
08587215
025129
042106
1132106
2879106
08361105
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×iter limit
1×node limit
1×iter limit
Compiler

Compiled 344 to 187 computations (45.6% saved)

preprocess92.0ms (0.4%)

Memory
26.0MiB live, 144.7MiB allocated
Remove

(sort y z)

Compiler

Compiled 712 to 434 computations (39% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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