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

Time bar (total: 29.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze418.0ms (1.4%)

Memory
2.0MiB live, 596.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
0%0%99.8%0.2%0%0%0%5
0%0%99.8%0.2%0%0%0%6
0%0%99.8%0.2%0%0%0%7
0%0%99.8%0.2%0%0%0%8
4.2%3.1%71.7%0.2%0%25%0%9
4.2%3.1%71.3%0.2%0%25.3%0%10
6.3%4.7%69.2%0.2%0%25.9%0%11
9.2%6.6%65.8%0.2%0%27.4%0%12
Compiler

Compiled 21 to 20 computations (4.8% saved)

sample5.7s (19.3%)

Memory
68.8MiB live, 5 509.1MiB allocated
Samples
2.9s15 451×0invalid
1.0s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.5s
ival-mult: 864.0ms (33.9% of total)
ival-div: 742.0ms (29.1% of total)
ival-sqrt: 588.0ms (23.1% of total)
ival-acos: 286.0ms (11.2% of total)
exact: 43.0ms (1.7% of total)
ival-true: 17.0ms (0.7% of total)
ival-assert: 10.0ms (0.4% of total)
Bogosity

explain177.0ms (0.6%)

Memory
30.2MiB live, 426.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
250-4(-5.24599532283251e-85 -1.357610590080587e+228 -3.060677489851499e-303 9.08351785766856e-70)(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
81(708465993414898.8 -6.993606399200958e+228 2.4958697274421854e+262 1.3078035392024146e+308)0-(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
10-0-(/.f64 x (*.f64 y #s(literal 27 binary64)))
00-0-t
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
00-0-(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
00-0-(*.f64 y #s(literal 27 binary64))
00-0-y
00-0-#s(literal 27 binary64)
00-0-z
00-0-(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
00-0-(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
00-0-#s(literal 2 binary64)
00-0-(*.f64 z #s(literal 2 binary64))
00-0-(sqrt.f64 t)
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))u/n200
(/.f64 x (*.f64 y #s(literal 27 binary64)))underflow53
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))underflow53
*.f64(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))n*u90
/.f64(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))o/n10
(*.f64 y #s(literal 27 binary64))overflow1
(/.f64 x (*.f64 y #s(literal 27 binary64)))overflow1
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))overflow1
/.f64(/.f64 x (*.f64 y #s(literal 27 binary64)))n/o10
(*.f64 y #s(literal 27 binary64))overflow1
Confusion
Predicted +Predicted -
+10
-29226
Precision
0.03333333333333333
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-290226
Precision?
0.03333333333333333
Recall?
1.0
Freqs
test
numberfreq
0226
129
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
67.0ms512×0valid
Compiler

Compiled 207 to 58 computations (72% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-div: 19.0ms (43.5% of total)
ival-mult: 15.0ms (34.3% of total)
ival-sqrt: 4.0ms (9.2% of total)
ival-acos: 4.0ms (9.2% of total)
exact: 1.0ms (2.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess143.0ms (0.5%)

Memory
-9.6MiB live, 121.9MiB 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 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))
Symmetry

(sort y z)

Compiler

Compiled 23 to 18 computations (21.7% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(*.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))))
Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify76.0ms (0.3%)

Memory
-19.4MiB live, 56.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 2 (0.0ms)

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

localize47.0ms (0.2%)

Memory
32.7MiB live, 69.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.3756782933235617
(/.f64 x (*.f64 y #s(literal 27 binary64)))
accuracy0.96875
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
accuracy2.042291438352514
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
accuracy6.458818334633287
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
Samples
29.0ms256×0valid
Compiler

Compiled 92 to 20 computations (78.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 7.0ms (40.8% of total)
ival-div: 5.0ms (29.1% of total)
ival-sqrt: 2.0ms (11.7% of total)
ival-acos: 2.0ms (11.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series42.0ms (0.1%)

Memory
-20.1MiB live, 56.4MiB allocated
Counts
6 → 180
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (patch (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())
#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (* 1/18 (/ x (* y z))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor inf y) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor inf y) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) (taylor -inf t) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor inf y) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor inf y) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor inf y) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor inf y) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/27 (/ x y)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ())
Calls

45 calls:

TimeVariablePointExpression
9.0ms
x
@inf
(/ (* 3 (/ x (* y 27))) (* z 2))
6.0ms
x
@0
(/ x (* y 27))
2.0ms
x
@inf
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))
1.0ms
z
@0
(/ (* 3 (/ x (* y 27))) (* z 2))
1.0ms
t
@-inf
(* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))

simplify197.0ms (0.7%)

Memory
1.2MiB live, 151.5MiB allocated
Algorithm
egg-herbie
Rules
4 158×lower-*.f64
4 158×lower-*.f32
3 468×lower-/.f32
3 468×lower-/.f64
1 212×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

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

rewrite250.0ms (0.8%)

Memory
-9.4MiB live, 420.6MiB allocated
Rules
5 832×lower-*.f32
5 822×lower-*.f64
3 672×lower-/.f32
3 668×lower-/.f64
1 650×lower-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01855
02955
16947
238741
3374241
0821441
Stop Event
iter limit
node limit
iter limit
Counts
6 → 588
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 x (*.f64 y #s(literal 27 binary64)))
Outputs
#s(literal 1/3 binary64)
(exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/9 binary64))) y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 (*.f64 z #s(literal -2 binary64)) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z #s(literal -2 binary64))) (/.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 (*.f64 z #s(literal -2 binary64)) y)))
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eval202.0ms (0.7%)

Memory
6.4MiB live, 162.0MiB allocated
Compiler

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

prune180.0ms (0.6%)

Memory
-2.9MiB live, 195.7MiB 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
98.0%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t))))
98.1%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
96.9%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))))
Compiler

Compiled 59 to 45 computations (23.7% saved)

simplify97.0ms (0.3%)

Memory
6.8MiB live, 80.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t))
cost-diff0
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))
cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t))))
cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
cost-diff0
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
cost-diff0
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
cost-diff320
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
cost-diff704
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
cost-diff0
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
cost-diff0
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))
cost-diff0
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
cost-diff0
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))))
Rules
2 052×lower-*.f32
2 030×lower-*.f64
1 094×associate-*r*
1 076×associate-*l/
1 022×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043285
064285
1102265
2232247
3601247
41624247
53082247
63191247
73241247
83241247
93241247
103539247
113586247
123586247
133904247
143904247
03904247
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
#s(literal 1/3 binary64)
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))
#s(literal 1/18 binary64)
(*.f64 x (sqrt.f64 t))
x
(sqrt.f64 t)
t
(*.f64 y z)
y
z
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
#s(literal 1/3 binary64)
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
#s(literal 3 binary64)
(/.f64 x (*.f64 y #s(literal 27 binary64)))
x
(*.f64 y #s(literal 27 binary64))
y
#s(literal 27 binary64)
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(sqrt.f64 t)
t
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
#s(literal 1/18 binary64)
(/.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
(sqrt.f64 t)
t
Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
#s(literal 1/3 binary64)
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
#s(literal 1/18 binary64)
(*.f64 x (sqrt.f64 t))
x
(sqrt.f64 t)
t
(*.f64 y z)
y
z
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
#s(literal 1/3 binary64)
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
(*.f64 x (/.f64 #s(literal 1/9 binary64) y))
#s(literal 3 binary64)
(/.f64 x (*.f64 y #s(literal 27 binary64)))
x
(*.f64 y #s(literal 27 binary64))
y
#s(literal 27 binary64)
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(sqrt.f64 t)
t
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))
(acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
#s(literal 1/18 binary64)
(/.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
(sqrt.f64 t)
t

localize156.0ms (0.5%)

Memory
-20.7MiB live, 182.7MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.2890625
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
accuracy0.96875
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t))))
accuracy2.042291438352514
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t))
accuracy3.7149864508571073
(/.f64 x (*.f64 y z))
accuracy0.3756782933235617
(/.f64 x (*.f64 y #s(literal 27 binary64)))
accuracy0.96875
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
accuracy2.042291438352514
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
accuracy6.458818334633287
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
accuracy0.20703125
(*.f64 x (sqrt.f64 t))
accuracy0.3515625
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))
accuracy0.96875
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
accuracy5.28333543694066
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
Samples
113.0ms256×0valid
Compiler

Compiled 247 to 31 computations (87.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-mult: 43.0ms (47% of total)
ival-div: 35.0ms (38.3% of total)
const: 6.0ms (6.6% of total)
ival-acos: 4.0ms (4.4% of total)
ival-sqrt: 2.0ms (2.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series39.0ms (0.1%)

Memory
8.1MiB live, 87.6MiB allocated
Counts
18 → 684
Calls
Call 1
Inputs
#s(alt #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))) (patch #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) (patch (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) #<representation binary64>) () ())
#s(alt (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) (patch (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)) (patch (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (patch (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) (patch (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) #<representation binary64>) () ())
#s(alt (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))) (patch (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) #<representation binary64>) () ())
#s(alt (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t))) (patch (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)) (patch (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (patch (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) #<representation binary64>) () ())
#s(alt (*.f64 x (sqrt.f64 t)) (patch (*.f64 x (sqrt.f64 t)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())
#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 x (*.f64 y z)) (patch (/.f64 x (*.f64 y z)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (patch (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #<representation binary64>) () ())
Outputs
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 x) (#s(alt #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))) (patch #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 x) (#s(alt #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))) (patch #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 x) (#s(alt #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))) (patch #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 x) (#s(alt #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))) (patch #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))) #<representation binary64>) () ())) ())
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#s(alt (* 1/18 (/ x (* y z))) (taylor -inf z) (#s(alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (patch (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf z) (#s(alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (patch (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #<representation binary64>) () ())) ())
Calls

171 calls:

TimeVariablePointExpression
1.0ms
t
@-inf
(* 1/18 (* x (sqrt t)))
1.0ms
x
@inf
(* 1/18 (* x (sqrt t)))
0.0ms
x
@0
(* 1/18 (* x (sqrt t)))
0.0ms
t
@0
(* 1/18 (* x (sqrt t)))
0.0ms
x
@-inf
(/ x (* y z))

simplify294.0ms (1%)

Memory
29.0MiB live, 298.8MiB allocated
Algorithm
egg-herbie
Rules
3 868×lower-*.f64
3 868×lower-*.f32
3 350×lower-fma.f64
3 350×lower-fma.f32
3 048×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0366824
1806712
22566684
39596684
421276684
545126684
656296684
773056684
879686684
080296684
Stop Event
iter limit
node limit
Counts
684 → 684
Calls
Call 1
Inputs
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) x))
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(* 1/18 (* (sqrt t) x))
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(* 1/18 (* (sqrt t) x))
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(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))
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(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
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(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
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(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/27 (/ x y))
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(* 1/27 (/ x y))
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(* 1/27 (/ x y))
(/ x (* y z))
(/ x (* y z))
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(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
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(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(* 1/18 (/ x (* y z)))
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Outputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 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 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 t) x)
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 t) x)
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 t) x)
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 t) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))

rewrite7.5s (25.4%)

Memory
8.8MiB live, 520.7MiB allocated
Rules
6 644×lower-*.f32
6 622×lower-*.f64
4 462×lower-/.f32
4 454×lower-/.f64
1 592×lower-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043227
064227
1137209
2661193
35713193
09771193
Stop Event
iter limit
node limit
iter limit
Counts
18 → 1 445
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t))))
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))
(*.f64 x (sqrt.f64 t))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 x (*.f64 y #s(literal 27 binary64)))
(/.f64 x (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/3 binary64) (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 y z)))))
(+.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 y z))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 y z)))))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 y z))) #s(literal 1/3 binary64)))
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(*.f64 (/.f64 x (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/9 binary64) y))
(*.f64 (/.f64 #s(literal 1/18 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 #s(literal 1/18 binary64) (neg.f64 z)) (/.f64 x (neg.f64 y)))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) z) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 54 binary64) y)))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (/.f64 #s(literal 1/27 binary64) (*.f64 y z)))
(*.f64 (/.f64 (/.f64 #s(literal 3 binary64) y) z) (/.f64 (*.f64 x #s(literal 1/27 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 2 binary64)) (/.f64 (*.f64 x #s(literal 1/27 binary64)) z))
(*.f64 (/.f64 #s(literal 1/9 binary64) z) (/.f64 (/.f64 x y) #s(literal 2 binary64)))
(*.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 x (*.f64 y #s(literal -27 binary64))) z))
(*.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) (neg.f64 z)))
(*.f64 (/.f64 (/.f64 x (*.f64 y #s(literal -27 binary64))) z) #s(literal -3/2 binary64))
(*.f64 (/.f64 #s(literal 3 binary64) (neg.f64 z)) (/.f64 (/.f64 x (*.f64 y #s(literal -27 binary64))) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 x (*.f64 y #s(literal -27 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) (neg.f64 z)))
(*.f64 (/.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) (*.f64 z #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) #s(literal -2 binary64)) (/.f64 #s(literal -3 binary64) z))
(*.f64 (/.f64 #s(literal -3 binary64) z) (/.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) #s(literal -2 binary64)))
(*.f64 (/.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) (neg.f64 z)) #s(literal -3/2 binary64))
(*.f64 (/.f64 (/.f64 x (*.f64 y #s(literal -27 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 3/2 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (/.f64 z x))) (/.f64 #s(literal 1/27 binary64) y))
(*.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 #s(literal 3 binary64) (/.f64 x z)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 54 binary64) y)))
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/27 binary64) (*.f64 y z)))
(*.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) x) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 54 binary64) y)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) x) (/.f64 #s(literal 1/9 binary64) y))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 #s(literal 3 binary64) y)) (*.f64 x #s(literal 1/27 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal 1/9 binary64)) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (neg.f64 z))) (neg.f64 x))

eval295.0ms (1%)

Memory
5.0MiB live, 518.7MiB allocated
Compiler

Compiled 36 553 to 4 035 computations (89% saved)

prune879.0ms (3%)

Memory
-41.3MiB live, 654.0MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New2 12452 129
Fresh000
Picked303
Done000
Total2 12752 132
Accuracy
98.5%
Counts
2 132 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64))
96.9%
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))))))
96.9%
(*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))))
96.9%
(*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))))
97.7%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y)))
Compiler

Compiled 348 to 200 computations (42.5% saved)

simplify267.0ms (0.9%)

Memory
10.5MiB live, 241.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
cost-diff0
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))
cost-diff128
(*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))))
cost-diff9792
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))))
cost-diff0
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
cost-diff0
(/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))))
cost-diff128
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64)))))
cost-diff0
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
cost-diff0
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64)))
cost-diff128
(*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))))
cost-diff320
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))))
cost-diff0
(*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t))
cost-diff0
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y))
cost-diff0
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y)))
cost-diff384
(/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y)
cost-diff0
(sqrt.f64 t)
cost-diff0
(*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))
cost-diff0
(acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
cost-diff0
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64))
Rules
3 876×lower-*.f32
3 850×lower-*.f64
2 552×lower-fma.f32
2 550×lower-fma.f64
2 532×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051799
085771
1147755
2319745
3760745
41736745
53136745
64500745
75213745
85970745
96212745
106265745
116276745
126752745
137278745
147614745
157614745
167614745
08243742
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))
(sqrt.f64 t)
t
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
#s(literal 1/18 binary64)
(/.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
#s(literal 1/3 binary64)
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y)))
#s(literal 1/3 binary64)
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y))
(/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y)
(*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t))
(/.f64 (*.f64 x #s(literal 1/18 binary64)) z)
(*.f64 x #s(literal 1/18 binary64))
x
#s(literal 1/18 binary64)
z
(sqrt.f64 t)
t
y
(*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))))
#s(literal 1/3 binary64)
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #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 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))
(asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
x
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(*.f64 y z)
y
z
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))
#s(literal 1 binary64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))))))
#s(literal 1/3 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64)))))
#s(literal 1 binary64)
(/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(PI.f64)
#s(literal 1/2 binary64)
(asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
x
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(*.f64 y z)
y
z
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/4 binary64)
(pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))))
#s(literal 1/3 binary64)
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))))
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1/4 binary64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
#s(literal 1/2 binary64)
(asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
x
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(*.f64 y z)
y
z
(/.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))
(pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))
(sqrt.f64 t)
t
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
#s(literal 1/18 binary64)
(/.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
#s(literal 1/3 binary64)
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))
#s(literal 1/3 binary64)
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y))
(acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
(/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y)
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t))
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) z)
(/.f64 (*.f64 x #s(literal 1/18 binary64)) z)
(*.f64 x #s(literal 1/18 binary64))
x
#s(literal 1/18 binary64)
z
(sqrt.f64 t)
t
y
(*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
#s(literal 1/3 binary64)
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64)))
(-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (*.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 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))
(pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))
(asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
x
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(*.f64 y z)
y
z
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
#s(literal 1 binary64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
#s(literal 1/3 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
#s(literal 1 binary64)
(/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))))
(/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))
(PI.f64)
#s(literal 1/2 binary64)
(asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
x
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(*.f64 y z)
y
z
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64)))
(-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/4 binary64)
(pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))
(pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
#s(literal 1/3 binary64)
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1/4 binary64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))
#s(literal 1/2 binary64)
(asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
x
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(*.f64 y z)
y
z
(/.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))
(/.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
(pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))
(pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))
#s(literal 2 binary64)

localize255.0ms (0.9%)

Memory
22.9MiB live, 347.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.22265625
(*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
accuracy0.4147262695368841
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
accuracy0.96875
(*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))))
accuracy5.283335436940655
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
accuracy0.22265625
(*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
accuracy0.4147262695368841
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
accuracy0.96875
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))))))
accuracy5.283335436940655
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
accuracy0.22265625
(*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
accuracy0.4147262695368841
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
accuracy0.96875
(*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))))
accuracy5.283335436940655
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
accuracy0.3984375
(*.f64 x #s(literal 1/18 binary64))
accuracy0.96875
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y)))
accuracy2.7361507898479682
(*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t))
accuracy4.417187685028959
(/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y)
accuracy0.2890625
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
accuracy0.96875
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64))
accuracy2.042291438352514
(*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))
accuracy3.7149864508571073
(/.f64 x (*.f64 y z))
Samples
144.0ms256×0valid
Compiler

Compiled 784 to 53 computations (93.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 104.0ms
const: 40.0ms (38.6% of total)
ival-mult: 26.0ms (25.1% of total)
ival-div: 17.0ms (16.4% of total)
ival-sqrt: 7.0ms (6.7% of total)
ival-acos: 4.0ms (3.9% of total)
ival-asin: 2.0ms (1.9% of total)
ival-sub: 2.0ms (1.9% of total)
ival-pow2: 2.0ms (1.9% of total)
ival-pi: 1.0ms (1% of total)
ival-add: 1.0ms (1% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series208.0ms (0.7%)

Memory
-21.1MiB live, 251.4MiB allocated
Counts
25 → 984
Calls
Call 1
Inputs
#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) (patch (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))) (patch (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 t) (patch (sqrt.f64 t) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y) (patch (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y))) (patch (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y))) #<representation binary64>) () ())
#s(alt (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y)) (patch (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))) (patch (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))))) (patch (*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (patch (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64)))))) (patch (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64)))))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64)))) (patch (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) (patch (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))) (patch (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))))) (patch (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))) (patch (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))) #<representation binary64>) () ())
#s(alt (/.f64 x (*.f64 y z)) (patch (/.f64 x (*.f64 y z)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (patch (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 1/18 binary64)) (patch (*.f64 x #s(literal 1/18 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) (patch (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) #<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 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (patch (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #<representation binary64>) () ())
Outputs
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 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) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 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) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 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) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor inf t) (#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor inf t) (#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor inf t) (#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor inf t) (#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) (taylor -inf t) (#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 1/18 (* (sqrt t) x)) (taylor 0 t) (#s(alt (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (patch (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) x)) (taylor 0 t) (#s(alt (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (patch (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) x)) (taylor 0 t) (#s(alt (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (patch (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) x)) (taylor 0 t) (#s(alt (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (patch (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) x)) (taylor inf t) (#s(alt (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (patch (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) x)) (taylor inf t) (#s(alt (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (patch (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) x)) (taylor inf t) (#s(alt (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (patch (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) x)) (taylor inf t) (#s(alt (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (patch (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2)))) (taylor -inf t) (#s(alt (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (patch (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2)))) (taylor -inf t) (#s(alt (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (patch (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2)))) (taylor -inf t) (#s(alt (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (patch (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2)))) (taylor -inf t) (#s(alt (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (patch (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #<representation binary64>) () ())) ())
Calls

246 calls:

TimeVariablePointExpression
21.0ms
t
@inf
(* 1/3 (- (/ (* (* (PI) (PI)) 1/4) (+ (* (PI) 1/2) (asin (/ (* x (* 1/18 (sqrt t))) (* y z))))) (/ (pow (asin (/ (* x (* 1/18 (sqrt t))) (* y z))) 2) (+ (* (PI) 1/2) (asin (/ (* x (* 1/18 (sqrt t))) (* y z)))))))
7.0ms
x
@0
(* 1/3 (* (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 1/18 (sqrt t))) (* y z))) 2)) (/ 1 (+ (* (PI) 1/2) (asin (/ (* x (* 1/18 (sqrt t))) (* y z)))))))
5.0ms
z
@-inf
(* (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 1/18 (sqrt t))) (* y z))) 2)) (/ 1 (+ (* (PI) 1/2) (asin (/ (* x (* 1/18 (sqrt t))) (* y z))))))
5.0ms
z
@-inf
(* 1/3 (acos (/ (* (/ (* x 1/18) z) (sqrt t)) y)))
5.0ms
z
@inf
(/ (+ (* (PI) 1/2) (asin (/ (* x (* 1/18 (sqrt t))) (* y z)))) (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 1/18 (sqrt t))) (* y z))) 2)))

simplify346.0ms (1.2%)

Memory
35.1MiB live, 392.0MiB allocated
Algorithm
egg-herbie
Rules
4 794×lower-*.f64
4 794×lower-*.f32
4 152×lower-fma.f64
4 152×lower-fma.f32
2 184×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07119824
115119488
239219404
3130819404
4285619404
5547719404
6686219404
0802718828
Stop Event
iter limit
node limit
Counts
984 → 984
Calls
Call 1
Inputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (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))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt 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)))))
(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 (pow (sqrt -1) 2)) (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ 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)
(sqrt t)
(sqrt t)
(sqrt t)
(sqrt t)
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt 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)))))
(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)))))
(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)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (sqrt t))
(* 1/18 (sqrt t))
(* 1/18 (sqrt t))
(* 1/18 (sqrt t))
(* 1/18 (sqrt t))
(* 1/18 (sqrt t))
(* 1/18 (sqrt t))
(* 1/18 (sqrt t))
(* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))
(* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))
(* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))
(* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))
Outputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal -1/18 binary64))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal -1/18 binary64))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal -1/18 binary64))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal -1/18 binary64))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal -1/18 binary64))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal -1/18 binary64))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal -1/18 binary64))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal -1/18 binary64))) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
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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)))))
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(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 x)
(*.f64 #s(literal 1/18 binary64) x)
(* 1/18 x)
(*.f64 #s(literal 1/18 binary64) x)
(* 1/18 x)
(*.f64 #s(literal 1/18 binary64) x)
(* 1/18 x)
(*.f64 #s(literal 1/18 binary64) x)
(* 1/18 x)
(*.f64 #s(literal 1/18 binary64) x)
(* 1/18 x)
(*.f64 #s(literal 1/18 binary64) x)
(* 1/18 x)
(*.f64 #s(literal 1/18 binary64) x)
(* 1/18 x)
(*.f64 #s(literal 1/18 binary64) x)
(* 1/18 x)
(*.f64 #s(literal 1/18 binary64) x)
(* 1/18 x)
(*.f64 #s(literal 1/18 binary64) x)
(* 1/18 x)
(*.f64 #s(literal 1/18 binary64) x)
(* 1/18 x)
(*.f64 #s(literal 1/18 binary64) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (sqrt t))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(* 1/18 (sqrt t))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(* 1/18 (sqrt t))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(* 1/18 (sqrt t))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(* 1/18 (sqrt t))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(* 1/18 (sqrt t))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(* 1/18 (sqrt t))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(* 1/18 (sqrt t))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(* 1/18 (* (sqrt t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))

rewrite3.8s (12.8%)

Memory
-103.4MiB live, 904.4MiB allocated
Rules
5 938×lower-*.f32
5 914×lower-*.f64
4 352×lower-/.f32
4 334×lower-/.f64
2 098×lower--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051489
085313
1283286
22111286
08780286
Stop Event
iter limit
node limit
iter limit
Counts
25 → 1 670
Calls
Call 1
Inputs
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))
(sqrt.f64 t)
(/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y)
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y)))
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y))
(*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t))
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))))
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))
(/.f64 x (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 x #s(literal 1/18 binary64))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
Outputs
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))))
(acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))))
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(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 z x) #s(literal -1 binary64)))
(/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x))
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) (*.f64 x #s(literal 1/18 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y z) (*.f64 x #s(literal 1/18 binary64)))))
(/.f64 (*.f64 x #s(literal -1/18 binary64)) (*.f64 z (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 x #s(literal -1/18 binary64))) (neg.f64 (*.f64 z (neg.f64 y))))
(/.f64 #s(literal -1/18 binary64) (neg.f64 (/.f64 (*.f64 y z) x)))
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) y) z)
(/.f64 (neg.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) z)
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) z)
(/.f64 (neg.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) y)) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y))) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64))) (neg.f64 z))
(pow.f64 (/.f64 (*.f64 y z) (*.f64 x #s(literal 1/18 binary64))) #s(literal -1 binary64))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/18 binary64)))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64))
(*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))
(*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))
(*.f64 x #s(literal 1/18 binary64))
(*.f64 #s(literal 1/18 binary64) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y z) (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 z (neg.f64 y))))
(neg.f64 (/.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z)) (neg.f64 y)))
(neg.f64 (/.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) (sqrt.f64 t)) (*.f64 y z)))
(neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) (sqrt.f64 t)) z) y))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z)) y)
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y z) (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 y z) (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y z) (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 y z) (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y)))))
(/.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) (sqrt.f64 t)) (*.f64 z (neg.f64 y)))
(/.f64 (/.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) (sqrt.f64 t)) z) (neg.f64 y))
(/.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y)) z)
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 t)) (*.f64 (/.f64 z (*.f64 x #s(literal 1/18 binary64))) y))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) #s(literal 1 binary64)) (*.f64 y z))
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) (sqrt.f64 t))) (neg.f64 (*.f64 z (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (neg.f64 z))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) (sqrt.f64 t)) z)) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) z)
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z)) #s(literal 1 binary64)) y)
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 t) y)) (/.f64 z (*.f64 x #s(literal 1/18 binary64))))
(/.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y)) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 t))) (neg.f64 (*.f64 (/.f64 z (*.f64 x #s(literal 1/18 binary64))) y)))
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) #s(literal 1 binary64))) (*.f64 z (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) (sqrt.f64 t)))) (neg.f64 (neg.f64 (*.f64 z (neg.f64 y)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y)))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) (sqrt.f64 t)) z))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z)) #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 t) y))) (neg.f64 (/.f64 z (*.f64 x #s(literal 1/18 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (neg.f64 (neg.f64 z)))
(pow.f64 (/.f64 (*.f64 y z) (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 y z) (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 z (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z)))
(*.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z))))
(*.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (sqrt.f64 t) y)))
(*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))
(*.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z)))
(*.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z)))
(*.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) (sqrt.f64 t)) (/.f64 #s(literal 1 binary64) (*.f64 z (neg.f64 y))))
(*.f64 (/.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) (sqrt.f64 t)) z) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))
(*.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z)) x)
(*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))
(*.f64 (/.f64 x z) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))
(*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) y) (/.f64 (sqrt.f64 t) z))
(*.f64 (pow.f64 (/.f64 y (*.f64 x #s(literal 1/18 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 z (sqrt.f64 t)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 y (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 z x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 z x) #s(literal -1 binary64)) (pow.f64 (/.f64 y (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64)))
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 (*.f64 x #s(literal 1/18 binary64)) (sqrt.f64 t))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x)
(*.f64 (*.f64 x (sqrt.f64 t)) #s(literal 1/18 binary64))

eval956.0ms (3.2%)

Memory
22.0MiB live, 1 350.6MiB allocated
Compiler

Compiled 202 359 to 5 369 computations (97.3% saved)

prune667.0ms (2.3%)

Memory
18.9MiB live, 956.0MiB allocated
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New4 18724 189
Fresh000
Picked235
Done000
Total4 18954 194
Accuracy
100.0%
Counts
4 194 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.9%
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z)))))
98.4%
(*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1/3 binary64)))
98.0%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64))
96.9%
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))))))
97.7%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y)))
Compiler

Compiled 138 to 91 computations (34.1% saved)

simplify253.0ms (0.9%)

Memory
-21.4MiB live, 98.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))
cost-diff0
(acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z)))
cost-diff0
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))
cost-diff1088
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z)))))
cost-diff0
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
cost-diff0
(-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)))
cost-diff128
(*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1/3 binary64)))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1/3 binary64))
Rules
2 472×lower-fma.f32
2 470×lower-fma.f64
2 000×lower-*.f32
1 986×lower-*.f64
768×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028242
047236
178236
2151236
3335236
4681236
51186236
61587236
72192236
83180236
94408236
104681236
114707236
124707236
134747236
144759236
154759236
164759236
174763236
184771236
04771235
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1/3 binary64)))
(-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)))
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(PI.f64)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))
(asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z)))
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))
(*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64)))
(sqrt.f64 t)
t
(*.f64 x #s(literal 1/18 binary64))
x
#s(literal 1/18 binary64)
(*.f64 y z)
y
z
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z)))))
#s(literal 1 binary64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))
#s(literal 1/2 binary64)
#s(literal 1/3 binary64)
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z)))))
#s(literal 1/3 binary64)
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))
#s(literal 1 binary64)
(acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z)))
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))
(*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64)))
(sqrt.f64 t)
t
(*.f64 x #s(literal 1/18 binary64))
x
#s(literal 1/18 binary64)
(*.f64 y z)
y
z
Outputs
(*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1/3 binary64)))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))))
(-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)))
(-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 2 binary64)))
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(PI.f64)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))
(pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 2 binary64))
(asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z)))
(asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(sqrt.f64 t)
t
(*.f64 x #s(literal 1/18 binary64))
x
#s(literal 1/18 binary64)
(*.f64 y z)
y
z
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))))
#s(literal 1 binary64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
#s(literal 1/2 binary64)
#s(literal 1/3 binary64)
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
#s(literal 1/3 binary64)
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
#s(literal 1 binary64)
(acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z)))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(sqrt.f64 t)
t
(*.f64 x #s(literal 1/18 binary64))
x
#s(literal 1/18 binary64)
(*.f64 y z)
y
z

localize118.0ms (0.4%)

Memory
-1.5MiB live, 184.7MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.33203125
(*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64)))
accuracy0.3984375
(*.f64 x #s(literal 1/18 binary64))
accuracy0.96875
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z)))))
accuracy5.283335436940659
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))
accuracy0.18359375
(pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))
accuracy0.33203125
(*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64)))
accuracy0.3984375
(*.f64 x #s(literal 1/18 binary64))
accuracy5.283335436940659
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))
Samples
56.0ms256×0valid
Compiler

Compiled 248 to 31 computations (87.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 12.0ms (31.3% of total)
ival-div: 6.0ms (15.7% of total)
const: 6.0ms (15.7% of total)
ival-pi: 2.0ms (5.2% of total)
ival-acos: 2.0ms (5.2% of total)
ival-asin: 2.0ms (5.2% of total)
ival-sqrt: 2.0ms (5.2% of total)
ival-pow2: 2.0ms (5.2% of total)
ival-add: 1.0ms (2.6% of total)
ival-sub: 1.0ms (2.6% of total)
exact: 1.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series34.0ms (0.1%)

Memory
37.5MiB live, 73.7MiB allocated
Counts
11 → 420
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1/3 binary64))) (patch (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z)))) #<representation binary64>) () ())
#s(alt (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) (patch (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z)) (patch (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z)) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 1/18 binary64)) (patch (*.f64 x #s(literal 1/18 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (patch (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (taylor inf t) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (taylor inf t) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (taylor inf t) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (taylor inf t) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))) (taylor -inf t) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))) (taylor -inf t) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))) (taylor -inf t) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))) (taylor -inf t) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (taylor 0 t) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (taylor inf t) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (taylor inf t) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (taylor inf t) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (taylor inf t) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (taylor -inf t) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (taylor -inf t) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (taylor -inf t) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (taylor -inf t) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (taylor 0 x) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (taylor 0 x) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (taylor 0 x) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (taylor 0 x) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (taylor inf x) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (taylor inf x) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (taylor inf x) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (taylor inf x) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (taylor -inf x) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (taylor -inf x) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (taylor -inf x) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (taylor -inf x) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (taylor 0 y) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (taylor 0 y) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (taylor 0 y) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (taylor 0 y) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (taylor inf y) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (taylor inf y) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (taylor inf y) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (taylor inf y) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (taylor -inf y) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (taylor -inf y) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (taylor -inf y) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (taylor -inf y) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (taylor 0 z) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (taylor 0 z) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (taylor 0 z) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (taylor 0 z) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (taylor inf z) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (taylor inf z) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (taylor inf z) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (taylor inf z) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (taylor -inf z) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (taylor -inf z) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (taylor -inf z) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (taylor -inf z) (#s(alt (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
Calls

105 calls:

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

simplify320.0ms (1.1%)

Memory
-55.7MiB live, 264.5MiB allocated
Algorithm
egg-herbie
Rules
3 764×lower-/.f32
3 764×lower-/.f64
3 746×lower-*.f64
3 746×lower-*.f32
3 690×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0536724
11116628
22896564
310476564
421606564
539476564
653666564
080226420
Stop Event
iter limit
node limit
Counts
420 → 420
Calls
Call 1
Inputs
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(pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)
(pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)
(pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)
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(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)
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(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)
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(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)
Outputs
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
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rewrite4.3s (14.5%)

Memory
14.3MiB live, 573.8MiB allocated
Rules
6 424×lower-fma.f32
6 422×lower-fma.f64
5 424×lower-*.f32
5 410×lower-*.f64
3 844×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028151
047168
1154122
2972122
08442122
Stop Event
iter limit
node limit
iter limit
Counts
11 → 818
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1/3 binary64))
(*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1/3 binary64)))
(-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)))
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))
(acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z)))
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))
(*.f64 x #s(literal 1/18 binary64))
(*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64)))
(pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 3 binary64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (*.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 3 binary64)))) (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) (+.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))))
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 3 binary64)))) (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) (+.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) (*.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 3 binary64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 2 binary64)))) (neg.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))))
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 2 binary64)))) #s(literal 0 binary64)) (/.f64 #s(literal 1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))))
(+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 3 binary64))))) (*.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) (+.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) (+.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 3 binary64))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 2 binary64))))) (*.f64 (neg.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))) (/.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 2 binary64))))) (*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) (/.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 2 binary64))))))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 2 binary64)))) (*.f64 (neg.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))) (/.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 2 binary64))))))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 2 binary64)))) (*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) (/.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 2 binary64))))))
(fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 3 binary64)))) (*.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) (+.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 3 binary64))))))
(fma.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) (+.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 3 binary64)))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 3 binary64))))))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 3 binary64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 3 binary64)))) (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) (+.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 3 binary64)))) (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) (+.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (*.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 3 binary64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 2 binary64)))) (neg.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 2 binary64)))) #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))) #s(literal 1/3 binary64)))
(neg.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))))
(neg.f64 (/.f64 #s(literal -1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))) #s(literal 3 binary64))))
(/.f64 #s(literal -1/3 binary64) (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 6 binary64)))) (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 2 binary64))) (*.f64 (+.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))))
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(fma.f64 #s(literal 0 binary64) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 3 binary64))) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 2 binary64)))) (*.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))))))
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 2 binary64))) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 2 binary64)))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))))
(pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))

eval243.0ms (0.8%)

Memory
23.7MiB live, 528.6MiB allocated
Compiler

Compiled 74 825 to 3 460 computations (95.4% saved)

prune198.0ms (0.7%)

Memory
-22.2MiB live, 374.7MiB allocated
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1 63311 634
Fresh000
Picked022
Done123
Total1 63451 639
Accuracy
100.0%
Counts
1 639 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.9%
(/.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
96.9%
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z)))))
98.4%
(*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1/3 binary64)))
98.0%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64))
97.7%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y)))
Compiler

Compiled 411 to 168 computations (59.1% saved)

regimes54.0ms (0.2%)

Memory
-0.5MiB live, 79.5MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(/.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))))
(*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))))))
(*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))))
Outputs
(*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1/3 binary64)))
Calls

13 calls:

6.0ms
y
5.0ms
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
4.0ms
(*.f64 y #s(literal 27 binary64))
4.0ms
x
4.0ms
(sqrt.f64 t)
Results
AccuracySegmentsBranch
98.4%1x
98.4%1y
98.4%1z
98.4%1t
98.4%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
98.4%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
98.4%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
98.4%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
98.4%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
98.4%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
98.4%1(*.f64 y #s(literal 27 binary64))
98.4%1(*.f64 z #s(literal 2 binary64))
98.4%1(sqrt.f64 t)
Compiler

Compiled 135 to 108 computations (20% saved)

regimes44.0ms (0.1%)

Memory
-9.2MiB live, 69.2MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(/.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))))
Outputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
Calls

13 calls:

4.0ms
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
4.0ms
x
3.0ms
t
3.0ms
(*.f64 y #s(literal 27 binary64))
3.0ms
y
Results
AccuracySegmentsBranch
98.1%1x
98.1%1y
98.1%1z
98.1%1t
98.1%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
98.1%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
98.1%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
98.1%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
98.1%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
98.1%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
98.1%1(*.f64 y #s(literal 27 binary64))
98.1%1(*.f64 z #s(literal 2 binary64))
98.1%1(sqrt.f64 t)
Compiler

Compiled 135 to 108 computations (20% saved)

regimes28.0ms (0.1%)

Memory
8.8MiB live, 48.1MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t))))
Outputs
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64))
Calls

13 calls:

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

Compiled 135 to 108 computations (20% saved)

regimes20.0ms (0.1%)

Memory
-18.3MiB live, 36.4MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

13 calls:

5.0ms
z
1.0ms
(*.f64 z #s(literal 2 binary64))
1.0ms
(*.f64 y #s(literal 27 binary64))
1.0ms
(sqrt.f64 t)
1.0ms
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
96.9%1x
96.9%1y
96.9%1z
96.9%1t
96.9%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
96.9%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
96.9%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
96.9%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
96.9%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
96.9%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
96.9%1(*.f64 y #s(literal 27 binary64))
96.9%1(*.f64 z #s(literal 2 binary64))
96.9%1(sqrt.f64 t)
Compiler

Compiled 135 to 108 computations (20% saved)

simplify8.0ms (0%)

Memory
16.5MiB live, 16.5MiB allocated
Algorithm
egg-herbie
Rules
38×*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
1-exp_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057111
180111
284111
386111
487111
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))))
Outputs
(*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))))))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))))

soundness682.0ms (2.3%)

Memory
-4.5MiB live, 383.0MiB allocated
Rules
6 644×lower-*.f32
6 622×lower-*.f64
5 938×lower-*.f32
5 914×lower-*.f64
5 832×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043227
064227
1137209
2661193
35713193
09771193
051489
085313
1283286
22111286
08780286
01855
02955
16947
238741
3374241
0821441
0311616
1661604
21971596
37251596
425601596
544521596
662331596
080921596
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 258 to 149 computations (42.2% saved)

preprocess94.0ms (0.3%)

Memory
19.5MiB live, 104.3MiB allocated
Remove

(sort y z)

Compiler

Compiled 598 to 358 computations (40.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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