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

Time bar (total: 30.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze325.0ms (1.1%)

Memory
17.1MiB live, 573.0MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
0%0%99.8%0.2%0%0%0%5
0%0%99.8%0.2%0%0%0%6
0%0%99.8%0.2%0%0%0%7
0%0%99.8%0.2%0%0%0%8
4.2%3.1%71.7%0.2%0%25%0%9
4.2%3.1%71.3%0.2%0%25.3%0%10
6.3%4.7%69.2%0.2%0%25.9%0%11
9.2%6.6%65.8%0.2%0%27.4%0%12
Compiler

Compiled 21 to 20 computations (4.8% saved)

sample9.8s (32.6%)

Memory
63.0MiB live, 5 679.8MiB allocated
Samples
2.5s15 831×0invalid
1.6s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.7s
ival-mult: 943.0ms (35.4% of total)
ival-div: 751.0ms (28.2% of total)
ival-acos: 603.0ms (22.7% of total)
ival-sqrt: 300.0ms (11.3% of total)
exact: 37.0ms (1.4% of total)
ival-true: 19.0ms (0.7% of total)
ival-assert: 8.0ms (0.3% of total)
Bogosity

explain4.1s (13.6%)

Memory
1.6MiB live, 393.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
240-0-(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
181(-1.1042062591227303e-98 3.396108207873414e+271 6.564414977973057e+60 1.246842189327703e+216)2(3.604968517455353e-273 5.248094891320785e+124 -1.3678525944159835e-88 1.5535120470990864e+100)(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
10-0-(/.f64 x (*.f64 y #s(literal 27 binary64)))
00-0-t
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
01(-1.3418467918949692e-206 -4.329620559725888e+116 9.01613380632303e+100 8.98512523483541e+281)0-(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
00-0-(*.f64 y #s(literal 27 binary64))
00-0-y
00-0-#s(literal 27 binary64)
00-0-z
00-0-(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
00-0-(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
00-0-#s(literal 2 binary64)
00-0-(*.f64 z #s(literal 2 binary64))
00-0-(sqrt.f64 t)
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))u/n200
(/.f64 x (*.f64 y #s(literal 27 binary64)))underflow64
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))underflow63
*.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*u170
/.f64(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))o/n40
(*.f64 y #s(literal 27 binary64))overflow1
(/.f64 x (*.f64 y #s(literal 27 binary64)))overflow4
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))overflow4
/.f64(/.f64 x (*.f64 y #s(literal 27 binary64)))n/o10
(*.f64 y #s(literal 27 binary64))overflow1
*.f64(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))n*u10
Confusion
Predicted +Predicted -
+50
-37214
Precision
0.11904761904761904
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+500
-370214
Precision?
0.11904761904761904
Recall?
1.0
Freqs
test
numberfreq
0214
141
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
120.0ms512×0valid
Compiler

Compiled 203 to 58 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 98.0ms
ival-div: 44.0ms (45% of total)
ival-sqrt: 34.0ms (34.8% of total)
ival-mult: 13.0ms (13.3% of total)
ival-acos: 5.0ms (5.1% of total)
exact: 1.0ms (1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess122.0ms (0.4%)

Memory
19.6MiB live, 90.9MiB allocated
Algorithm
egg-herbie
Rules
2 044×lower-*.f32
2 034×lower-*.f64
1 530×unsub-neg
1 368×associate-*r/
1 168×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
089246
1275212
2967184
33633184
44322184
55222184
66504184
01817
02917
14915
212713
339413
4140113
5310013
6319013
7324113
8324113
9324113
10384013
11387913
12387913
0387913
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(*.f64 (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
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB 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)

simplify64.0ms (0.2%)

Memory
6.8MiB live, 43.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 2 (0.0ms)

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

localize109.0ms (0.4%)

Memory
-78.9MiB live, 97.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.4162907928484506
(/.f64 x (*.f64 y #s(literal 27 binary64)))
accuracy0.97265625
(*.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))))
accuracy3.5678333252790218
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
accuracy3.7839854138101714
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
Samples
97.0ms256×0valid
Compiler

Compiled 92 to 20 computations (78.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-div: 19.0ms (48.4% of total)
ival-mult: 16.0ms (40.8% of total)
ival-sqrt: 2.0ms (5.1% of total)
ival-acos: 2.0ms (5.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series81.0ms (0.3%)

Memory
25.9MiB live, 62.9MiB allocated
Counts
6 → 180
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (patch (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())
#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (* 1/3 (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>) () ())) ())
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#s(alt (* 1/9 (/ x y)) (taylor -inf x) (#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 (* 1/9 (/ x y)) (taylor -inf x) (#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 (* 1/9 (/ x y)) (taylor -inf x) (#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 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.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 x) (#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 x) (#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 x) (#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 -inf x) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
49.0ms
y
@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)) (/ x (* y 27)))
5.0ms
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)) (/ x (* y 27)))
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)) (/ x (* y 27)))
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)) (/ x (* y 27)))
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)) (/ x (* y 27)))

simplify98.0ms (0.3%)

Memory
2.4MiB live, 119.4MiB allocated
Algorithm
egg-herbie
Rules
4 158×lower-*.f64
4 158×lower-*.f32
3 468×lower-/.f32
3 468×lower-/.f64
1 200×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0311616
1661604
21971596
37361596
425881596
544671596
662351596
080961596
Stop Event
iter limit
node limit
Counts
180 → 180
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))))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 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))))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 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))))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 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))))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 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))))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 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))))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
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))))))
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rewrite214.0ms (0.7%)

Memory
-14.9MiB live, 253.2MiB allocated
Rules
5 832×lower-*.f32
5 822×lower-*.f64
3 672×lower-/.f32
3 668×lower-/.f64
1 650×lower-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01855
02955
16947
238741
3374241
0821441
Stop Event
iter limit
node limit
iter limit
Counts
6 → 588
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 x (*.f64 y #s(literal 27 binary64)))
Outputs
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eval112.0ms (0.4%)

Memory
24.0MiB live, 220.4MiB allocated
Compiler

Compiled 14 506 to 3 083 computations (78.7% saved)

prune105.0ms (0.3%)

Memory
10.9MiB live, 131.0MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New7653768
Fresh000
Picked101
Done000
Total7663769
Accuracy
98.5%
Counts
769 → 3
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 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (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 102 to 63 computations (38.2% saved)

simplify146.0ms (0.5%)

Memory
-4.3MiB live, 183.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 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
(*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))
cost-diff0
(-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64)))
cost-diff0
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (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 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 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))
Rules
6 210×lower-fma.f32
6 206×lower-fma.f64
3 620×lower-*.f32
3 602×lower-*.f64
1 404×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035453
060453
196453
2187453
3388453
4805453
51313453
61979453
73023453
84734453
95880453
107598453
08117449
Stop Event
iter limit
node limit
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 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (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 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))
#s(literal 1/8 binary64)
(pow.f64 (PI.f64) #s(literal 3 binary64))
(PI.f64)
#s(literal 3 binary64)
(pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 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 1/3 binary64)
(fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.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 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) (PI.f64))
(*.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 (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 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))
#s(literal 1/2 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 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (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 3 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.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))))) (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 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 3 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64)))
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(pow.f64 (PI.f64) #s(literal 3 binary64))
(PI.f64)
#s(literal 3 binary64)
(pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))
(pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 3 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 1/3 binary64)
(fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.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 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))))
(fma.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))))) (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) (PI.f64))
(*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (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 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64))))) (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 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 (*.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)

localize529.0ms (1.8%)

Memory
-32.9MiB live, 228.6MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.244472509768442
(*.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))
accuracy3.5678333252790218
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
accuracy3.6617147134118913
(/.f64 (/.f64 x y) z)
accuracy1.0
(pow.f64 (PI.f64) #s(literal 3 binary64))
accuracy1.0
(*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
accuracy3.5678333252790218
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
accuracy3.6617147134118913
(/.f64 (/.f64 x y) z)
accuracy0.244472509768442
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
accuracy0.97265625
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
accuracy3.5678333252790218
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
accuracy3.6617147134118913
(/.f64 (/.f64 x y) z)
Samples
485.0ms256×0valid
Compiler

Compiled 463 to 38 computations (91.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 462.0ms
ival-sqrt: 371.0ms (80.2% of total)
ival-add: 21.0ms (4.5% of total)
ival-sub: 21.0ms (4.5% of total)
ival-div: 16.0ms (3.5% of total)
ival-mult: 13.0ms (2.8% of total)
const: 6.0ms (1.3% of total)
ival-pow: 6.0ms (1.3% of total)
ival-acos: 2.0ms (0.4% of total)
ival-asin: 2.0ms (0.4% of total)
ival-pow2: 2.0ms (0.4% of total)
ival-pi: 1.0ms (0.2% of total)
exact: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series145.0ms (0.5%)

Memory
19.8MiB live, 209.8MiB allocated
Counts
15 → 516
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 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (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 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (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 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) (patch (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (patch (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) #<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>) () ())
#s(alt (pow.f64 (PI.f64) #s(literal 3 binary64)) (patch (pow.f64 (PI.f64) #s(literal 3 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (patch (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (patch (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (patch (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (patch (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) (patch (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) (patch (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) (patch (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) (patch (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) #<representation binary64>) () ())) ())
#s(alt (sqrt t) (taylor 0 t) (#s(alt (sqrt.f64 t) (patch (sqrt.f64 t) #<representation binary64>) () ())) ())
#s(alt (sqrt t) (taylor 0 t) (#s(alt (sqrt.f64 t) (patch (sqrt.f64 t) #<representation binary64>) () ())) ())
#s(alt (sqrt t) (taylor 0 t) (#s(alt (sqrt.f64 t) (patch (sqrt.f64 t) #<representation binary64>) () ())) ())
#s(alt (sqrt t) (taylor 0 t) (#s(alt (sqrt.f64 t) (patch (sqrt.f64 t) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (taylor 0 t) (#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (taylor 0 t) (#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (taylor 0 t) (#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (taylor 0 t) (#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (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 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (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 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (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 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (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 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (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 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (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 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (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 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (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 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (taylor 0 t) (#s(alt (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) (patch (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (taylor 0 t) (#s(alt (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) (patch (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (taylor 0 t) (#s(alt (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) (patch (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (taylor 0 t) (#s(alt (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) (patch (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 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 #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 0 t) (#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>) () ())) ())
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Calls

12 calls:

TimeVariablePointExpression
46.0ms
z
@-inf
((* (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (sqrt t) (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 3)) 1/3) (/ (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 3)) 1/3) (+ (* 1/4 (* (PI) (PI))) (* (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 3)) (* 1/8 (pow (PI) 3)) (* (- (* 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)) (pow (PI) 3))
11.0ms
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) (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 3)) 1/3) (/ (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 3)) 1/3) (+ (* 1/4 (* (PI) (PI))) (* (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 3)) (* 1/8 (pow (PI) 3)) (* (- (* 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)) (pow (PI) 3))
7.0ms
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) (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 3)) 1/3) (/ (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 3)) 1/3) (+ (* 1/4 (* (PI) (PI))) (* (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 3)) (* 1/8 (pow (PI) 3)) (* (- (* 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)) (pow (PI) 3))
6.0ms
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) (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 3)) 1/3) (/ (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 3)) 1/3) (+ (* 1/4 (* (PI) (PI))) (* (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 3)) (* 1/8 (pow (PI) 3)) (* (- (* 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)) (pow (PI) 3))
6.0ms
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) (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 3)) 1/3) (/ (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 3)) 1/3) (+ (* 1/4 (* (PI) (PI))) (* (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 3)) (* 1/8 (pow (PI) 3)) (* (- (* 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)) (pow (PI) 3))

simplify259.0ms (0.9%)

Memory
15.1MiB live, 243.1MiB allocated
Algorithm
egg-herbie
Rules
5 964×lower-fma.f64
5 964×lower-fma.f32
4 534×lower-*.f64
4 534×lower-*.f32
1 898×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06610564
115910388
244610344
3132310344
4292410344
5597710344
0808210008
Stop Event
iter limit
node limit
Counts
516 → 516
Calls
Call 1
Inputs
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(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))))
(sqrt t)
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/3 (acos (* 1/18 (* (sqrt 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)))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(* 1/3 (- (* 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)))
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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)))))
(* 1/3 (/ (- (* 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))
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(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ 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))))))
(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))))
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(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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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)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(/ x (* y z))
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(/ 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))))))
(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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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/4 (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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(/ x (* y z))
(/ x (* y z))
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(/ 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 (/.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))))))
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(* 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 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
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(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(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 3 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
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(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 3 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.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))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.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))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.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))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.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))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal 3 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)))
(/ 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))

rewrite256.0ms (0.9%)

Memory
-5.9MiB live, 319.0MiB allocated
Rules
5 248×lower-*.f32
5 230×lower-*.f64
4 910×lower-fma.f32
4 906×lower-fma.f64
4 582×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035230
060167
1201167
21423167
08555167
Stop Event
iter limit
node limit
iter limit
Counts
15 → 1 203
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 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (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 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 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))
(/.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))
(pow.f64 (PI.f64) #s(literal 3 binary64))
Outputs
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eval2.7s (8.9%)

Memory
46.9MiB live, 1 258.3MiB allocated
Compiler

Compiled 167 218 to 6 507 computations (96.1% saved)

prune90.0ms (0.3%)

Memory
6.1MiB live, 317.8MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New3 35953 364
Fresh000
Picked303
Done000
Total3 36253 367
Accuracy
100.0%
Counts
3 367 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))
97.7%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)))
97.7%
(/.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)))
97.7%
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))))))
98.5%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64))
Compiler

Compiled 200 to 172 computations (14% saved)

simplify296.0ms (1%)

Memory
-25.3MiB live, 93.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64)))
cost-diff192
(*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))))
cost-diff512
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))))))
cost-diff5888
(pow.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) #s(literal -1 binary64))
cost-diff0
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))
cost-diff0
(pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64))
cost-diff1088
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)))
cost-diff6080
(*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64))
cost-diff0
(*.f64 (/.f64 (*.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
(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
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))
cost-diff0
(pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64))
cost-diff6080
(*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64))
cost-diff6848
(pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))
Rules
2 776×lower-fma.f32
2 774×lower-fma.f64
2 228×lower-*.f32
2 208×lower-*.f64
1 226×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039499
067505
1112483
2216481
3359481
4514481
5799481
61420481
72244481
83101481
93920481
104229481
114293481
124298481
134303481
144653481
154897481
164949481
175057481
185224481
195224481
205224481
215224481
225250481
235250481
245510481
257003481
07003479
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64))
(pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64))
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
z
(/.f64 x y)
x
y
#s(literal -1 binary64)
#s(literal 3 binary64)
(*.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 1/3 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)
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)))
#s(literal 1 binary64)
(*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64))
(pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64))
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
z
(/.f64 x y)
x
y
#s(literal -1 binary64)
#s(literal 3 binary64)
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))))))
#s(literal 1/3 binary64)
(*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))))
(pow.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) #s(literal -1 binary64))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1/4 binary64)
(pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))
(asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
z
(/.f64 x y)
x
y
#s(literal 2 binary64)
#s(literal -1 binary64)
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))))
#s(literal 1/2 binary64)
Outputs
(pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))))
(*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))))
(pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64))
(pow.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))) #s(literal -1 binary64))
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))
(acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)
(/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) z)
(*.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
z
(/.f64 x y)
x
y
#s(literal -1 binary64)
#s(literal 3 binary64)
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64))
(*.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 (*.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 z) y) #s(literal 1/18 binary64))
(*.f64 x #s(literal 1/18 binary64))
x
#s(literal 1/18 binary64)
(*.f64 z y)
(*.f64 y z)
z
y
#s(literal 1/3 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)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 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 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) z)
(*.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
z
(/.f64 x y)
x
y
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))))
#s(literal 1 binary64)
(*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))))
(pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64))
(pow.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))) #s(literal -1 binary64))
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))
(acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)
(/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) z)
(*.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
z
(/.f64 x y)
x
y
#s(literal -1 binary64)
#s(literal 3 binary64)
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))))))
(*.f64 (/.f64 #s(literal -1/3 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)))))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64))))
#s(literal 1/3 binary64)
(*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))))
(/.f64 (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 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64))))
(pow.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64) (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 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64)))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (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 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1/4 binary64)
(pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))
(pow.f64 (asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64))
(asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))
(asin.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 x #s(literal 1/18 binary64)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)
(/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) z)
(*.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
z
(/.f64 x y)
x
y
#s(literal 2 binary64)
#s(literal -1 binary64)
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))))
(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)

localize231.0ms (0.8%)

Memory
-27.9MiB live, 237.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.26171875
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)
accuracy0.4296875
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
accuracy0.96484375
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))))))
accuracy5.96497877482282
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))
accuracy0.26171875
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)
accuracy0.4296875
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
accuracy0.953125
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)))
accuracy5.96497877482282
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))
accuracy0.26171875
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)
accuracy0.4296875
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
accuracy0.96484375
(/.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)))
accuracy5.96497877482282
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))
accuracy0.32421875
(*.f64 x #s(literal 1/18 binary64))
accuracy0.97265625
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64))
accuracy3.5678333252790218
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))
accuracy6.477920450676246
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))
accuracy0.0078125
(*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64))
accuracy0.26171875
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)
accuracy0.4296875
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
accuracy5.96497877482282
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))
Samples
183.0ms256×0valid
Compiler

Compiled 504 to 42 computations (91.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 15.0ms (29.8% of total)
ival-div: 9.0ms (17.9% of total)
const: 7.0ms (13.9% of total)
ival-pow: 6.0ms (11.9% of total)
ival-acos: 4.0ms (8% of total)
ival-asin: 2.0ms (4% of total)
ival-sqrt: 2.0ms (4% of total)
ival-pow2: 2.0ms (4% of total)
ival-pi: 1.0ms (2% of total)
ival-add: 1.0ms (2% of total)
ival-sub: 1.0ms (2% of total)
exact: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series97.0ms (0.3%)

Memory
7.9MiB live, 164.3MiB allocated
Counts
19 → 768
Calls
Call 1
Inputs
#s(alt (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) (patch (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) (patch (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (patch (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #<representation binary64>) () ())
#s(alt (*.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 1/3 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 (*.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 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))))) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))))) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))))) (patch (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) #<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>) () ())
#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>) () ())
Outputs
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) (patch (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) (patch (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) (patch (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) (patch (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) (patch (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) (patch (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) (patch (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) (patch (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (patch (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (patch (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (patch (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (patch (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) (patch (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) (patch (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) (patch (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) (patch (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (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))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))))) (patch (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (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))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))))) (patch (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))))) #<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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) #<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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) #<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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) #<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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) #<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
9.0ms
z
@inf
((pow (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) -1) (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) (* (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 (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1)) (* (/ (* 1/18 (sqrt t)) z) (/ x y)) (/ 1 (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3)) (pow (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ (* 1/18 (sqrt t)) z) (/ x y))) 2)) -1) (/ 1/3 (* (pow (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ (* 1/18 (sqrt t)) z) (/ x y))) 2)) -1) (+ (* 1/2 (PI)) (asin (* (/ (* 1/18 (sqrt t)) z) (/ x y)))))) (* (pow (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ (* 1/18 (sqrt t)) z) (/ x y))) 2)) -1) (+ (* 1/2 (PI)) (asin (* (/ (* 1/18 (sqrt t)) z) (/ x y))))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ (* 1/18 (sqrt t)) z) (/ x y))) 2)) (* 1/18 (sqrt t)) (/ (* 1/18 (sqrt t)) z) (/ (* x 1/18) (* z y)) (* x 1/18))
6.0ms
t
@-inf
((pow (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) -1) (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) (* (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 (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1)) (* (/ (* 1/18 (sqrt t)) z) (/ x y)) (/ 1 (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3)) (pow (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ (* 1/18 (sqrt t)) z) (/ x y))) 2)) -1) (/ 1/3 (* (pow (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ (* 1/18 (sqrt t)) z) (/ x y))) 2)) -1) (+ (* 1/2 (PI)) (asin (* (/ (* 1/18 (sqrt t)) z) (/ x y)))))) (* (pow (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ (* 1/18 (sqrt t)) z) (/ x y))) 2)) -1) (+ (* 1/2 (PI)) (asin (* (/ (* 1/18 (sqrt t)) z) (/ x y))))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ (* 1/18 (sqrt t)) z) (/ x y))) 2)) (* 1/18 (sqrt t)) (/ (* 1/18 (sqrt t)) z) (/ (* x 1/18) (* z y)) (* x 1/18))
5.0ms
t
@0
((pow (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) -1) (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) (* (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 (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1)) (* (/ (* 1/18 (sqrt t)) z) (/ x y)) (/ 1 (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3)) (pow (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ (* 1/18 (sqrt t)) z) (/ x y))) 2)) -1) (/ 1/3 (* (pow (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ (* 1/18 (sqrt t)) z) (/ x y))) 2)) -1) (+ (* 1/2 (PI)) (asin (* (/ (* 1/18 (sqrt t)) z) (/ x y)))))) (* (pow (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ (* 1/18 (sqrt t)) z) (/ x y))) 2)) -1) (+ (* 1/2 (PI)) (asin (* (/ (* 1/18 (sqrt t)) z) (/ x y))))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ (* 1/18 (sqrt t)) z) (/ x y))) 2)) (* 1/18 (sqrt t)) (/ (* 1/18 (sqrt t)) z) (/ (* x 1/18) (* z y)) (* x 1/18))
5.0ms
t
@inf
((pow (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) -1) (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) (* (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 (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1)) (* (/ (* 1/18 (sqrt t)) z) (/ x y)) (/ 1 (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3)) (pow (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ (* 1/18 (sqrt t)) z) (/ x y))) 2)) -1) (/ 1/3 (* (pow (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ (* 1/18 (sqrt t)) z) (/ x y))) 2)) -1) (+ (* 1/2 (PI)) (asin (* (/ (* 1/18 (sqrt t)) z) (/ x y)))))) (* (pow (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ (* 1/18 (sqrt t)) z) (/ x y))) 2)) -1) (+ (* 1/2 (PI)) (asin (* (/ (* 1/18 (sqrt t)) z) (/ x y))))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ (* 1/18 (sqrt t)) z) (/ x y))) 2)) (* 1/18 (sqrt t)) (/ (* 1/18 (sqrt t)) z) (/ (* x 1/18) (* z y)) (* x 1/18))
5.0ms
x
@inf
((pow (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) -1) (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) (* (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 (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1)) (* (/ (* 1/18 (sqrt t)) z) (/ x y)) (/ 1 (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3)) (pow (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ (* 1/18 (sqrt t)) z) (/ x y))) 2)) -1) (/ 1/3 (* (pow (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ (* 1/18 (sqrt t)) z) (/ x y))) 2)) -1) (+ (* 1/2 (PI)) (asin (* (/ (* 1/18 (sqrt t)) z) (/ x y)))))) (* (pow (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ (* 1/18 (sqrt t)) z) (/ x y))) 2)) -1) (+ (* 1/2 (PI)) (asin (* (/ (* 1/18 (sqrt t)) z) (/ x y))))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ (* 1/18 (sqrt t)) z) (/ x y))) 2)) (* 1/18 (sqrt t)) (/ (* 1/18 (sqrt t)) z) (/ (* x 1/18) (* z y)) (* x 1/18))

simplify148.0ms (0.5%)

Memory
25.6MiB live, 179.7MiB allocated
Algorithm
egg-herbie
Rules
4 312×lower-*.f64
4 312×lower-*.f32
3 332×lower-fma.f64
3 332×lower-fma.f32
1 696×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06511968
113511696
234711640
3142911640
4399511640
5646411640
0810711448
Stop Event
iter limit
node limit
Counts
768 → 768
Calls
Call 1
Inputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(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))))))
(* 1/18 (* (sqrt t) (/ x (* 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 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(/ 1 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(/ 1 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(/ 1 (- (* 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)))))
(/ (+ (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)))
(/ (+ (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)))
(/ (+ (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)))
(/ (+ (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))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(* 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 (acos (* 1/18 (* (sqrt t) (/ 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))))))
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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)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(/ (+ (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)))
(/ (+ (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)))
(/ (+ (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))
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(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ 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))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/18 (* (sqrt t) (/ x (* 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 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(/ 1 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(/ 1 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(/ 1 (- (* 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)))))
(/ (+ (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)))
(/ (+ (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)))
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(/ (+ (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))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
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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))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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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)))))
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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))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
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(/ 1 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(/ 1 (- (* 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)))))
(/ (+ (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)))
(/ (+ (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)))
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(/ (+ (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))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(* 1/18 (/ x (* y z)))
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(* 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 (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))))))
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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 (/.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))))))
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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 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(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 (/.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))
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(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))))
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(* 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))))))
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(* 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))))
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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 (/.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 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
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(/ 1 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
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(/ (+ (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)))
(/.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))) (-.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)))
(- (* 1/4 (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)))
(* 1/18 (/ 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))

rewrite227.0ms (0.8%)

Memory
-11.8MiB live, 299.6MiB allocated
Rules
4 634×lower-fma.f32
4 632×lower-fma.f64
4 552×lower-*.f32
4 532×lower-*.f64
3 712×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039268
067230
1223208
21363208
08498208
Stop Event
iter limit
node limit
iter limit
Counts
19 → 1 505
Calls
Call 1
Inputs
(pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64))
(pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64))
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))
(*.f64 (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 1/3 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 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)))
(pow.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))))))
(*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))
(*.f64 x #s(literal 1/18 binary64))
Outputs
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eval817.0ms (2.7%)

Memory
22.2MiB live, 1 410.6MiB allocated
Compiler

Compiled 146 333 to 7 682 computations (94.8% saved)

prune94.0ms (0.3%)

Memory
-6.7MiB live, 312.6MiB allocated
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New4 40344 407
Fresh000
Picked415
Done000
Total4 40754 412
Accuracy
100.0%
Counts
4 412 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal -1 binary64))
99.2%
(pow.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal -1 binary64))
97.7%
(/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 3 binary64))
97.7%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3 binary64)))
98.5%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64))
Compiler

Compiled 74 to 73 computations (1.4% saved)

simplify11.0ms (0%)

Memory
21.0MiB live, 21.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))
cost-diff0
(acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))
cost-diff0
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))))
cost-diff6848
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal -1 binary64))
cost-diff0
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
cost-diff0
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
cost-diff0
#s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))))
cost-diff0
(pow.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal -1 binary64))
cost-diff0
(/.f64 (*.f64 (sqrt.f64 t) x) z)
cost-diff0
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))
cost-diff0
(acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))
cost-diff384
(/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 3 binary64))
cost-diff0
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))
cost-diff0
(acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))
cost-diff1088
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3 binary64)))
cost-diff6080
(*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3 binary64))
Rules
244×lower-*.f32
234×lower-*.f64
92×lower-/.f32
78×*-commutative
76×lower-/.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036335
055333
189323
2162323
3259323
4301323
5304323
0304323
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3 binary64)))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))))
(acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(*.f64 (sqrt.f64 t) x)
(sqrt.f64 t)
t
x
z
(/.f64 #s(literal 1/18 binary64) y)
#s(literal 1/18 binary64)
y
#s(literal 3 binary64)
(/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 3 binary64))
(acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(*.f64 (sqrt.f64 t) x)
(sqrt.f64 t)
t
x
z
(/.f64 #s(literal 1/18 binary64) y)
#s(literal 1/18 binary64)
y
#s(literal 3 binary64)
(pow.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal -1 binary64))
#s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
#s(literal 3 binary64)
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64))
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(/.f64 (sqrt.f64 t) z)
(sqrt.f64 t)
t
z
y
#s(literal 1/18 binary64)
x
#s(literal -1 binary64)
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal -1 binary64))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))))
#s(literal 3 binary64)
(acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(*.f64 (sqrt.f64 t) x)
(sqrt.f64 t)
t
x
z
(/.f64 #s(literal 1/18 binary64) y)
#s(literal 1/18 binary64)
y
#s(literal -1 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3 binary64))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))))
(pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #s(literal -1 binary64))
(acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(/.f64 (*.f64 x (sqrt.f64 t)) z)
(*.f64 (sqrt.f64 t) x)
(*.f64 x (sqrt.f64 t))
(sqrt.f64 t)
t
x
z
(/.f64 #s(literal 1/18 binary64) y)
#s(literal 1/18 binary64)
y
#s(literal 3 binary64)
(/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
(acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(/.f64 (*.f64 x (sqrt.f64 t)) z)
(*.f64 (sqrt.f64 t) x)
(*.f64 x (sqrt.f64 t))
(sqrt.f64 t)
t
x
z
(/.f64 #s(literal 1/18 binary64) y)
#s(literal 1/18 binary64)
y
#s(literal 3 binary64)
(pow.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal -1 binary64))
#s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
#s(literal 3 binary64)
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64))
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(/.f64 (sqrt.f64 t) z)
(sqrt.f64 t)
t
z
y
#s(literal 1/18 binary64)
x
#s(literal -1 binary64)
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal -1 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
#s(literal 3 binary64)
(acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(/.f64 (*.f64 x (sqrt.f64 t)) z)
(*.f64 (sqrt.f64 t) x)
(*.f64 x (sqrt.f64 t))
(sqrt.f64 t)
t
x
z
(/.f64 #s(literal 1/18 binary64) y)
#s(literal 1/18 binary64)
y
#s(literal -1 binary64)

localize3.1s (10.2%)

Memory
-40.8MiB live, 137.2MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.25390625
(*.f64 (sqrt.f64 t) x)
accuracy0.37890625
(/.f64 #s(literal 1/18 binary64) y)
accuracy2.023073153705094
(/.f64 (*.f64 (sqrt.f64 t) x) z)
accuracy4.083249987045846
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))
accuracy0.23828125
(/.f64 (sqrt.f64 t) z)
accuracy0.240566259768442
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64))
accuracy1.7487134787341758
(/.f64 (/.f64 (sqrt.f64 t) z) y)
accuracy6.009458278024569
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
accuracy0.37890625
(/.f64 #s(literal 1/18 binary64) y)
accuracy0.96484375
(/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 3 binary64))
accuracy2.023073153705094
(/.f64 (*.f64 (sqrt.f64 t) x) z)
accuracy4.083249987045846
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))
accuracy0.37890625
(/.f64 #s(literal 1/18 binary64) y)
accuracy0.953125
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3 binary64)))
accuracy2.023073153705094
(/.f64 (*.f64 (sqrt.f64 t) x) z)
accuracy4.083249987045846
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))
Samples
2.0s256×0valid
Compiler

Compiled 309 to 36 computations (88.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0s
ival-mult: 1.9s (98.1% of total)
ival-div: 16.0ms (0.8% of total)
ival-acos: 8.0ms (0.4% of total)
ival-pow: 6.0ms (0.3% of total)
const: 3.0ms (0.2% of total)
ival-sqrt: 2.0ms (0.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series907.0ms (3%)

Memory
32.9MiB live, 71.6MiB allocated
Counts
18 → 744
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))) (patch (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)) (patch (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)) #<representation binary64>) () ())
#s(alt (/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 3 binary64)) (patch (/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (sqrt.f64 t) x) z) (patch (/.f64 (*.f64 (sqrt.f64 t) x) z) #<representation binary64>) () ())
#s(alt (pow.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal -1 binary64)) (patch (pow.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) (patch #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))) (patch (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))) #<representation binary64>) () ())
#s(alt (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) (patch (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) (patch (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/18 binary64) y) (patch (/.f64 #s(literal 1/18 binary64) y) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) (patch (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (sqrt.f64 t) z) y) (patch (/.f64 (/.f64 (sqrt.f64 t) z) y) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) (patch (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 t) z) (patch (/.f64 (sqrt.f64 t) z) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 t) x) (patch (*.f64 (sqrt.f64 t) x) #<representation binary64>) () ())
Outputs
#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3 binary64)) #<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 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3 binary64))) #<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 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3 binary64))) #<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 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3 binary64))) #<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 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #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) z) (/.f64 #s(literal 1/18 binary64) y))) (patch (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))) #<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) z) (/.f64 #s(literal 1/18 binary64) y))) (patch (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))) #<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) z) (/.f64 #s(literal 1/18 binary64) y))) (patch (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))) #<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) z) (/.f64 #s(literal 1/18 binary64) y))) (patch (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)) (patch (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)) (patch (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) 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 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))) (patch (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))) (patch (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))) (patch (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor -inf x) (#s(alt (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) (patch (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor -inf x) (#s(alt (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) (patch (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor -inf x) (#s(alt (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) (patch (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor -inf x) (#s(alt (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) (patch (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 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 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal -1 binary64)) #<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 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) (patch (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) 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 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) (patch (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) 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 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) (patch (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) 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 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) (patch (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) (patch (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) (patch (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) (patch (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) (patch (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (sqrt t) x) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 t) x) (patch (*.f64 (sqrt.f64 t) x) #<representation binary64>) () ())) ())
#s(alt (* (sqrt t) x) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 t) x) (patch (*.f64 (sqrt.f64 t) x) #<representation binary64>) () ())) ())
#s(alt (* (sqrt t) x) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 t) x) (patch (*.f64 (sqrt.f64 t) x) #<representation binary64>) () ())) ())
#s(alt (* (sqrt t) x) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 t) x) (patch (*.f64 (sqrt.f64 t) x) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
834.0ms
x
@0
((* (/ 1 (acos (* (/ (* (sqrt t) x) z) (/ 1/18 y)))) 3) (/ 1 (* (/ 1 (acos (* (/ (* (sqrt t) x) z) (/ 1/18 y)))) 3)) (acos (* (/ (* (sqrt t) x) z) (/ 1/18 y))) (* (/ (* (sqrt t) x) z) (/ 1/18 y)) (/ (acos (* (/ (* (sqrt t) x) z) (/ 1/18 y))) 3) (/ (* (sqrt t) x) z) (pow (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) -1) (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/ 3 (acos (* (* (/ (/ (sqrt t) z) y) 1/18) x))) (acos (* (* (/ (/ (sqrt t) z) y) 1/18) x)) (pow (/ 3 (acos (* (/ (* (sqrt t) x) z) (/ 1/18 y)))) -1) (/ 3 (acos (* (/ (* (sqrt t) x) z) (/ 1/18 y)))) (/ 1/18 y) (* (* (/ (/ (sqrt t) z) y) 1/18) x) (/ (/ (sqrt t) z) y) (* (/ (/ (sqrt t) z) y) 1/18) (/ (sqrt t) z) (* (sqrt t) x))
23.0ms
t
@-inf
((* (/ 1 (acos (* (/ (* (sqrt t) x) z) (/ 1/18 y)))) 3) (/ 1 (* (/ 1 (acos (* (/ (* (sqrt t) x) z) (/ 1/18 y)))) 3)) (acos (* (/ (* (sqrt t) x) z) (/ 1/18 y))) (* (/ (* (sqrt t) x) z) (/ 1/18 y)) (/ (acos (* (/ (* (sqrt t) x) z) (/ 1/18 y))) 3) (/ (* (sqrt t) x) z) (pow (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) -1) (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/ 3 (acos (* (* (/ (/ (sqrt t) z) y) 1/18) x))) (acos (* (* (/ (/ (sqrt t) z) y) 1/18) x)) (pow (/ 3 (acos (* (/ (* (sqrt t) x) z) (/ 1/18 y)))) -1) (/ 3 (acos (* (/ (* (sqrt t) x) z) (/ 1/18 y)))) (/ 1/18 y) (* (* (/ (/ (sqrt t) z) y) 1/18) x) (/ (/ (sqrt t) z) y) (* (/ (/ (sqrt t) z) y) 1/18) (/ (sqrt t) z) (* (sqrt t) x))
3.0ms
x
@inf
((* (/ 1 (acos (* (/ (* (sqrt t) x) z) (/ 1/18 y)))) 3) (/ 1 (* (/ 1 (acos (* (/ (* (sqrt t) x) z) (/ 1/18 y)))) 3)) (acos (* (/ (* (sqrt t) x) z) (/ 1/18 y))) (* (/ (* (sqrt t) x) z) (/ 1/18 y)) (/ (acos (* (/ (* (sqrt t) x) z) (/ 1/18 y))) 3) (/ (* (sqrt t) x) z) (pow (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) -1) (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/ 3 (acos (* (* (/ (/ (sqrt t) z) y) 1/18) x))) (acos (* (* (/ (/ (sqrt t) z) y) 1/18) x)) (pow (/ 3 (acos (* (/ (* (sqrt t) x) z) (/ 1/18 y)))) -1) (/ 3 (acos (* (/ (* (sqrt t) x) z) (/ 1/18 y)))) (/ 1/18 y) (* (* (/ (/ (sqrt t) z) y) 1/18) x) (/ (/ (sqrt t) z) y) (* (/ (/ (sqrt t) z) y) 1/18) (/ (sqrt t) z) (* (sqrt t) x))
3.0ms
z
@-inf
((* (/ 1 (acos (* (/ (* (sqrt t) x) z) (/ 1/18 y)))) 3) (/ 1 (* (/ 1 (acos (* (/ (* (sqrt t) x) z) (/ 1/18 y)))) 3)) (acos (* (/ (* (sqrt t) x) z) (/ 1/18 y))) (* (/ (* (sqrt t) x) z) (/ 1/18 y)) (/ (acos (* (/ (* (sqrt t) x) z) (/ 1/18 y))) 3) (/ (* (sqrt t) x) z) (pow (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) -1) (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/ 3 (acos (* (* (/ (/ (sqrt t) z) y) 1/18) x))) (acos (* (* (/ (/ (sqrt t) z) y) 1/18) x)) (pow (/ 3 (acos (* (/ (* (sqrt t) x) z) (/ 1/18 y)))) -1) (/ 3 (acos (* (/ (* (sqrt t) x) z) (/ 1/18 y)))) (/ 1/18 y) (* (* (/ (/ (sqrt t) z) y) 1/18) x) (/ (/ (sqrt t) z) y) (* (/ (/ (sqrt t) z) y) 1/18) (/ (sqrt t) z) (* (sqrt t) x))
3.0ms
t
@inf
((* (/ 1 (acos (* (/ (* (sqrt t) x) z) (/ 1/18 y)))) 3) (/ 1 (* (/ 1 (acos (* (/ (* (sqrt t) x) z) (/ 1/18 y)))) 3)) (acos (* (/ (* (sqrt t) x) z) (/ 1/18 y))) (* (/ (* (sqrt t) x) z) (/ 1/18 y)) (/ (acos (* (/ (* (sqrt t) x) z) (/ 1/18 y))) 3) (/ (* (sqrt t) x) z) (pow (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) -1) (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/ 3 (acos (* (* (/ (/ (sqrt t) z) y) 1/18) x))) (acos (* (* (/ (/ (sqrt t) z) y) 1/18) x)) (pow (/ 3 (acos (* (/ (* (sqrt t) x) z) (/ 1/18 y)))) -1) (/ 3 (acos (* (/ (* (sqrt t) x) z) (/ 1/18 y)))) (/ 1/18 y) (* (* (/ (/ (sqrt t) z) y) 1/18) x) (/ (/ (sqrt t) z) y) (* (/ (/ (sqrt t) z) y) 1/18) (/ (sqrt t) z) (* (sqrt t) x))

simplify971.0ms (3.2%)

Memory
-19.5MiB live, 99.9MiB allocated
Algorithm
egg-herbie
Rules
3 616×lower-*.f64
3 616×lower-*.f32
2 180×lower-fma.f64
2 180×lower-fma.f32
2 138×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0508348
11147996
24137956
314967956
439517956
560257956
080707956
Stop Event
iter limit
node limit
Counts
744 → 744
Calls
Call 1
Inputs
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(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))))))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/18 (* (sqrt t) (/ 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) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* (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))))
(* 1/18 (* (sqrt t) (/ 1 (* y z))))
(* (sqrt t) (/ 1 z))
(* (sqrt t) (/ 1 z))
(* (sqrt t) (/ 1 z))
(* (sqrt t) (/ 1 z))
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(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))))))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/18 (* (sqrt t) (/ 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) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* (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))))
(* 1/18 (* (sqrt t) (/ 1 (* y z))))
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(/ 1/18 y)
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(/ 1/18 y)
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(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* (sqrt t) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* (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))))
(* 1/18 (* (sqrt t) (/ 1 (* y z))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1/18 y)
(/ 1/18 y)
(/ 1/18 y)
(/ 1/18 y)
(* 1/18 (* (sqrt t) (/ 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) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* (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))))
(* 1/18 (* (sqrt t) (/ 1 (* y z))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(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))))))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/18 (* (sqrt t) (/ 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)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(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))))))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(acos (* 1/18 (* (sqrt t) (/ 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))))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(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))))))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/18 (* (sqrt t) (/ 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)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
Outputs
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(* (sqrt t) (/ x z))
(*.f64 (/.f64 (sqrt.f64 t) z) x)
(* (sqrt t) (/ x z))
(*.f64 (/.f64 (sqrt.f64 t) z) x)
(* (sqrt t) (/ x z))
(*.f64 (/.f64 (sqrt.f64 t) z) x)
(* (sqrt t) (/ x z))
(*.f64 (/.f64 (sqrt.f64 t) z) x)
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(* (sqrt t) (/ x z))
(*.f64 (/.f64 (sqrt.f64 t) z) x)
(* (sqrt t) (/ x z))
(*.f64 (/.f64 (sqrt.f64 t) z) x)
(* (sqrt t) (/ x z))
(*.f64 (/.f64 (sqrt.f64 t) z) x)
(* (sqrt t) (/ x z))
(*.f64 (/.f64 (sqrt.f64 t) z) x)
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
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(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
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(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
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(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(* (sqrt t) (/ x z))
(*.f64 (/.f64 (sqrt.f64 t) z) x)
(* (sqrt t) (/ x z))
(*.f64 (/.f64 (sqrt.f64 t) z) x)
(* (sqrt t) (/ x z))
(*.f64 (/.f64 (sqrt.f64 t) z) x)
(* (sqrt t) (/ x z))
(*.f64 (/.f64 (sqrt.f64 t) z) x)
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))

rewrite335.0ms (1.1%)

Memory
21.9MiB live, 259.8MiB allocated
Rules
3 804×lower-*.f32
3 794×lower-*.f64
2 488×lower-/.f32
2 472×lower-/.f64
1 442×frac-times
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036219
055211
1187207
2930207
36191207
08032207
Stop Event
iter limit
node limit
iter limit
Counts
18 → 1 392
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3 binary64)))
(acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))
(/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 3 binary64))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(pow.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal -1 binary64))
#s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal -1 binary64))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))))
(/.f64 #s(literal 1/18 binary64) y)
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64))
(/.f64 (sqrt.f64 t) z)
(*.f64 (sqrt.f64 t) x)
Outputs
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eval969.0ms (3.2%)

Memory
33.9MiB live, 721.2MiB allocated
Compiler

Compiled 63 193 to 6 331 computations (90% saved)

prune1.0s (3.4%)

Memory
-113.6MiB live, 549.5MiB allocated
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New3 32733 330
Fresh000
Picked404
Done011
Total3 33143 335
Accuracy
100.0%
Counts
3 335 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(pow.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) x)))) #s(literal -1 binary64))
97.7%
(/.f64 (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 y z))) #s(literal 3 binary64))
97.7%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 y z)))) #s(literal 3 binary64)))
98.5%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1/3 binary64))
Compiler

Compiled 387 to 161 computations (58.4% saved)

regimes229.0ms (0.8%)

Memory
9.5MiB live, 87.9MiB allocated
Counts
16 → 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 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 y z))) #s(literal 3 binary64))
(/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 y z)))) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3 binary64)))
(pow.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) x)))) #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 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)))
(pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))
(/.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 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (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 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) x)))) #s(literal -1 binary64))
Calls

13 calls:

90.0ms
(*.f64 z #s(literal 2 binary64))
5.0ms
(*.f64 y #s(literal 27 binary64))
5.0ms
x
5.0ms
(sqrt.f64 t)
5.0ms
z
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)

regimes219.0ms (0.7%)

Memory
-24.9MiB live, 56.1MiB allocated
Accuracy

Total -0.5b remaining (-51.4%)

Threshold costs -0.5b (-51.4%)

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 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 y z))) #s(literal 3 binary64))
(/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 y z)))) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 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:

98.0ms
z
92.0ms
(*.f64 z #s(literal 2 binary64))
3.0ms
(sqrt.f64 t)
3.0ms
(*.f64 y #s(literal 27 binary64))
3.0ms
y
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)

simplify123.0ms (0.4%)

Memory
-0.3MiB live, 39.1MiB allocated
Algorithm
egg-herbie
Rules
12×*-commutative-binary64-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03144
13744
Stop Event
saturated
Calls
Call 1
Inputs
(pow.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) x)))) #s(literal -1 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
(pow.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) x)))) #s(literal -1 binary64))
(pow.f64 #s(approx (* (pow (acos (* (/ (* 1/18 (sqrt t)) z) (/ x y))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z)) x)))) #s(literal -1 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 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))))

soundness1.0s (3.3%)

Memory
3.1MiB live, 359.2MiB allocated
Rules
5 832×lower-*.f32
5 822×lower-*.f64
5 248×lower-*.f32
5 230×lower-*.f64
4 910×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06511968
113511696
234711640
3142911640
4399511640
5646411640
0810711448
036219
055211
1187207
2930207
36191207
08032207
01855
02955
16947
238741
3374241
0821441
035230
060167
1201167
21423167
08555167
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 147 to 95 computations (35.4% saved)

preprocess67.0ms (0.2%)

Memory
20.0MiB live, 138.1MiB allocated
Remove

(sort y z)

Compiler

Compiled 226 to 208 computations (8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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