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

Time bar (total: 19.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze348.0ms (1.8%)

Memory
-18.1MiB live, 667.2MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
0%0%99.8%0.2%0%0%0%5
0%0%99.8%0.2%0%0%0%6
0%0%99.8%0.2%0%0%0%7
0%0%99.8%0.2%0%0%0%8
4.2%3.1%71.7%0.2%0%25%0%9
4.2%3.1%71.3%0.2%0%25.3%0%10
6.3%4.7%69.2%0.2%0%25.9%0%11
9.2%6.6%65.8%0.2%0%27.4%0%12
Compiler

Compiled 21 to 20 computations (4.8% saved)

sample5.3s (28.1%)

Memory
-56.1MiB live, 6 031.7MiB allocated
Samples
2.1s8 256×0valid
2.0s15 779×0invalid
Precisions
Click to see histograms. Total time spent on operations: 2.7s
ival-mult: 1.5s (57.6% of total)
ival-div: 672.0ms (25.3% of total)
ival-sqrt: 195.0ms (7.3% of total)
ival-acos: 190.0ms (7.1% of total)
exact: 43.0ms (1.6% of total)
ival-true: 20.0ms (0.8% of total)
ival-assert: 9.0ms (0.3% of total)
Bogosity

explain190.0ms (1%)

Memory
37.7MiB live, 473.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
280-5(3.0059111402160563e-201 4.543338849557948e+119 -3.086784470093592e-255 9.588468133264526e-195)(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
140-3(1.3928026483361348e-153 1.8846547241854438e-125 -1.788210888043824e+285 5.2969759840108734e+230)(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
00-0-t
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
00-0-(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
00-0-(*.f64 y #s(literal 27 binary64))
00-0-y
00-0-(/.f64 x (*.f64 y #s(literal 27 binary64)))
00-0-#s(literal 27 binary64)
00-0-z
00-0-(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
00-0-(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
00-0-#s(literal 2 binary64)
00-0-(*.f64 z #s(literal 2 binary64))
00-0-(sqrt.f64 t)
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))u/n210
↳(/.f64 x (*.f64 y #s(literal 27 binary64)))underflow47
↳(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))underflow47
*.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*u110
/.f64(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))o/n20
↳(*.f64 y #s(literal 27 binary64))overflow1
↳(/.f64 x (*.f64 y #s(literal 27 binary64)))overflow2
↳(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))overflow2
Confusion
Predicted +Predicted -
+20
-32222
Precision
0.058823529411764705
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+200
-320222
Precision?
0.058823529411764705
Recall?
1.0
Freqs
test
numberfreq
0222
134
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
75.0ms512×0valid
Compiler

Compiled 203 to 58 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 21.0ms (49.4% of total)
ival-div: 11.0ms (25.9% of total)
ival-acos: 5.0ms (11.8% of total)
ival-sqrt: 4.0ms (9.4% of total)
exact: 1.0ms (2.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess170.0ms (0.9%)

Memory
-24.6MiB live, 124.9MiB allocated
Algorithm
1×egg-herbie
Rules
2 044×lower-*.f32
2 034×lower-*.f64
1 530×unsub-neg
1 368×associate-*r/
1 168×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

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

(sort y z)

Compiler

Compiled 19 to 18 computations (5.3% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune20.0ms (0.1%)

Memory
-33.7MiB live, 5.3MiB 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 19 to 18 computations (5.3% saved)

simplify66.0ms (0.3%)

Memory
33.5MiB live, 33.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 2 (0.0ms)

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

localize380.0ms (2%)

Memory
3.0MiB live, 40.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.2265625
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
accuracy0.95703125
(*.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))))
accuracy2.769138507660164
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
accuracy4.258776077327651
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
Samples
370.0ms256×0valid
Compiler

Compiled 92 to 20 computations (78.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 355.0ms
ival-div: 343.0ms (96.7% of total)
ival-mult: 7.0ms (2% of total)
ival-sqrt: 2.0ms (0.6% of total)
ival-acos: 2.0ms (0.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series54.0ms (0.3%)

Memory
-17.5MiB live, 60.8MiB allocated
Counts
5 → 156
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (patch (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor inf t) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor inf t) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor inf t) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) #<representation binary64>) () ())) ())
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#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
23.0ms
t
@0
((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
6.0ms
x
@inf
((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
3.0ms
y
@0
((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
3.0ms
t
@-inf
((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
2.0ms
x
@0
((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))

simplify108.0ms (0.6%)

Memory
4.0MiB live, 126.2MiB allocated
Algorithm
1×egg-herbie
Rules
4 146×lower-*.f64
4 146×lower-*.f32
3 464×lower-/.f32
3 464×lower-/.f64
1 210×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

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

rewrite235.0ms (1.2%)

Memory
3.0MiB live, 228.9MiB allocated
Rules
5 832×lower-*.f32
5 822×lower-*.f64
3 672×lower-/.f32
3 668×lower-/.f64
1 650×lower-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

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

eval162.0ms (0.9%)

Memory
-35.2MiB live, 127.2MiB allocated
Compiler

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

prune91.0ms (0.5%)

Memory
8.0MiB live, 80.9MiB allocated
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New6722674
Fresh000
Picked101
Done000
Total6732675
Accuracy
98.5%
Counts
675 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.1%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
▶98.1%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
Compiler

Compiled 27 to 27 computations (0% saved)

simplify72.0ms (0.4%)

Memory
-11.9MiB live, 34.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 t)
cost-diff0
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
cost-diff0
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
cost-diff0
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
cost-diff0
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
cost-diff0
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
cost-diff0
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
cost-diff0
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
Rules
2 044×lower-*.f32
2 034×lower-*.f64
1 264×associate-*l/
1 116×associate-*r*
1 086×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034148
047148
184146
2212144
3562144
41632144
53127144
63164144
73183144
83183144
93183144
103737144
113753144
123753144
03753144
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(/.f64 (sqrt.f64 t) z)
(sqrt.f64 t)
t
z
y
x
#s(literal 1/18 binary64)
#s(literal 1/3 binary64)
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(sqrt.f64 t)
t
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
#s(literal 1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z
#s(literal 1/3 binary64)
Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(/.f64 (sqrt.f64 t) z)
(sqrt.f64 t)
t
z
y
x
#s(literal 1/18 binary64)
#s(literal 1/3 binary64)
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))
(sqrt.f64 t)
t
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z
#s(literal 1/3 binary64)

localize352.0ms (1.9%)

Memory
-0.4MiB live, 155.7MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.221035009768442
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
accuracy0.95703125
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
accuracy2.769138507660164
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
accuracy4.286049297721279
(/.f64 (/.f64 x y) z)
accuracy0.236660009768442
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
accuracy0.95703125
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
accuracy2.7914953651525023
(/.f64 (/.f64 (sqrt.f64 t) z) y)
accuracy5.136082820236789
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
Samples
330.0ms256×0valid
Compiler

Compiled 138 to 34 computations (75.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 188.0ms
ival-mult: 128.0ms (68% of total)
ival-div: 46.0ms (24.4% of total)
const: 6.0ms (3.2% of total)
ival-acos: 6.0ms (3.2% of total)
ival-sqrt: 2.0ms (1.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series123.0ms (0.6%)

Memory
-2.9MiB live, 112.4MiB allocated
Counts
12 → 504
Calls
Call 1
Inputs
#s(alt #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) (patch #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (patch (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) (patch (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (patch (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) (patch (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) #<representation binary64>) () ())
#s(alt (sqrt.f64 t) (patch (sqrt.f64 t) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) (patch (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (sqrt.f64 t) z) y) (patch (/.f64 (/.f64 (sqrt.f64 t) z) y) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (patch (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) (patch #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) (patch #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) (patch #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) (patch #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #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 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor -inf x) (#s(alt (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (patch (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor -inf x) (#s(alt (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (patch (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor -inf x) (#s(alt (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (patch (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor -inf x) (#s(alt (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (patch (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) (patch (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) (patch (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) (patch (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) (patch (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt t) (/ x (* y z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) (patch (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #<representation binary64>) () ())) ())
#s(alt (* (sqrt t) (/ x (* y z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) (patch (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #<representation binary64>) () ())) ())
#s(alt (* (sqrt t) (/ x (* y z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) (patch (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #<representation binary64>) () ())) ())
#s(alt (* (sqrt t) (/ x (* y z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) (patch (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #<representation binary64>) () ())) ())
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (patch (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (patch (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (patch (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (patch (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
8.0ms
t
@-inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (sqrt t) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)))
5.0ms
t
@inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (sqrt t) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)))
2.0ms
x
@-inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (sqrt t) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)))
2.0ms
z
@-inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (sqrt t) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)))
2.0ms
y
@-inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (sqrt t) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)))

simplify117.0ms (0.6%)

Memory
39.2MiB live, 191.1MiB allocated
Algorithm
1×egg-herbie
Rules
3 710×lower-*.f64
3 710×lower-*.f32
2 406×lower-fma.f64
2 406×lower-fma.f32
2 098×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0355116
1864964
23004944
315654944
446284944
567334944
080484944
Stop Event
1×iter limit
1×node limit
Counts
504 → 504
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))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(sqrt t)
(sqrt t)
(sqrt t)
(sqrt t)
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
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(* (sqrt t) (/ x (* y z)))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(sqrt t)
(sqrt t)
(sqrt t)
(sqrt t)
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
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(* (sqrt t) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* 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 (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(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)))))
(* -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))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(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)))))
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(* -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 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z))))
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z))))
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* (sqrt t) (/ x (* y z)))
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(* (sqrt t) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* y z)))
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(/ x (* y z))
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(/ x (* y z))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* (sqrt t) (/ x (* y z)))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(* 1/18 (/ x (* y z)))
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Outputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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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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(* 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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(sqrt t)
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(* (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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(acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))
(* (sqrt t) (/ x (* y z)))
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y))
(* (sqrt t) (/ x (* y z)))
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y))
(* (sqrt t) (/ x (* y z)))
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y))
(* (sqrt t) (/ x (* y z)))
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y))
(/ x (* y z))
(/.f64 x (*.f64 z y))
(/ x (* y z))
(/.f64 x (*.f64 z y))
(/ x (* y z))
(/.f64 x (*.f64 z y))
(/ x (* y z))
(/.f64 x (*.f64 z y))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 x (sqrt.f64 t)))
(* (sqrt t) (/ x (* y z)))
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y))
(* (sqrt t) (/ x (* y z)))
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y))
(* (sqrt t) (/ x (* y z)))
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y))
(* (sqrt t) (/ x (* y z)))
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y))
(/ x (* y z))
(/.f64 x (*.f64 z y))
(/ x (* y z))
(/.f64 x (*.f64 z y))
(/ x (* y z))
(/.f64 x (*.f64 z y))
(/ x (* y z))
(/.f64 x (*.f64 z y))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))

rewrite216.0ms (1.1%)

Memory
-15.9MiB live, 266.1MiB allocated
Rules
4 302×lower-*.f32
4 292×lower-*.f64
3 392×lower-/.f32
3 384×lower-/.f64
1 006×frac-times
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034127
047127
1131125
2744123
36527123
08031123
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
12 → 1 170
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(sqrt.f64 t)
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(/.f64 (/.f64 x y) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal 1/3 binary64)))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))))
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)))))
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(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/9 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) z) y))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 3 binary64) y) x)) (*.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 27 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)) (*.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 #s(literal -27 binary64) y)))
(/.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 x #s(literal 1/9 binary64))) (*.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) y) x)) #s(literal 54 binary64))
(/.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) x)) (*.f64 #s(literal -54 binary64) y))
(/.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 54 binary64) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/9 binary64))) (*.f64 z y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 3 binary64) y) x)) (*.f64 z #s(literal 27 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3 binary64) x)) (*.f64 z (*.f64 #s(literal -27 binary64) y)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 z y) #s(literal 27 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/9 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) z) y))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) x)) (*.f64 z (*.f64 #s(literal -54 binary64) y)))
(/.f64 (*.f64 (*.f64 #s(literal -1/27 binary64) (/.f64 x y)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 z #s(literal 1/3 binary64))))
(/.f64 (*.f64 (*.f64 x #s(literal 1/9 binary64)) (pow.f64 z #s(literal -1 binary64))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/2 binary64)) (*.f64 z y))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) y) x) (pow.f64 z #s(literal -1 binary64))) #s(literal 54 binary64))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) y) x) #s(literal 1/2 binary64)) (*.f64 #s(literal 27 binary64) z))
(/.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) (pow.f64 z #s(literal -1 binary64))) (*.f64 #s(literal -54 binary64) y))
(/.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal -27 binary64) y) z))
(/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal -1 binary64))) (*.f64 #s(literal 54 binary64) y))
(/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z y) #s(literal 27 binary64)))
(/.f64 (*.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (*.f64 y (*.f64 #s(literal -2 binary64) z)))
(/.f64 (*.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 #s(literal 2 binary64) z)))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) y) x) #s(literal -1 binary64)) (*.f64 #s(literal 27 binary64) (*.f64 #s(literal -2 binary64) z)))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) y) x) #s(literal 1 binary64)) (*.f64 z #s(literal 54 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -27 binary64) y) (*.f64 #s(literal -2 binary64) z)))
(/.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal -2 binary64) z)))
(/.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 1 binary64)) (*.f64 z (*.f64 #s(literal -54 binary64) y)))
(/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal -2 binary64) z)))
(/.f64 (*.f64 (*.f64 x #s(literal 1/27 binary64)) #s(literal 3 binary64)) (*.f64 y (*.f64 #s(literal 2 binary64) z)))
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal 3 binary64)) (*.f64 #s(literal -27 binary64) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (*.f64 (neg.f64 x) #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal -54 binary64) y) (neg.f64 z)))
(/.f64 (*.f64 (/.f64 x y) #s(literal -3 binary64)) (*.f64 #s(literal 54 binary64) (neg.f64 z)))
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) x) #s(literal -1 binary64)) (*.f64 (neg.f64 y) (neg.f64 z)))
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) z))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) #s(literal -1 binary64)) (*.f64 (neg.f64 y) z))
(/.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 y x) (neg.f64 z)))
(/.f64 #s(literal -1/18 binary64) (/.f64 z (/.f64 (neg.f64 x) y)))
(/.f64 (*.f64 #s(literal -3 binary64) (neg.f64 x)) (*.f64 (neg.f64 z) (*.f64 #s(literal -54 binary64) y)))
(/.f64 (*.f64 #s(literal -3 binary64) (/.f64 x y)) (*.f64 (neg.f64 z) #s(literal 54 binary64)))
(/.f64 (/.f64 #s(literal 3/2 binary64) z) (/.f64 (*.f64 #s(literal 27 binary64) y) x))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) z) y))
(/.f64 (*.f64 x (/.f64 #s(literal 3/2 binary64) z)) (*.f64 #s(literal 27 binary64) y))
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) y) x) (*.f64 #s(literal 54 binary64) z))
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) y) x) (*.f64 z #s(literal 54 binary64)))
(/.f64 (*.f64 #s(literal -1/18 binary64) x) (*.f64 (neg.f64 y) z))
(/.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 y x))
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/54 binary64)) #s(literal 3 binary64)) z)
(/.f64 (*.f64 x (/.f64 #s(literal 1/27 binary64) (*.f64 z y))) #s(literal 2/3 binary64))
(/.f64 #s(literal 3/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 27 binary64) y) x) z))
(/.f64 #s(literal 3/2 binary64) (*.f64 (/.f64 z (/.f64 x y)) #s(literal 27 binary64)))
(/.f64 #s(literal -3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) z) (/.f64 (*.f64 #s(literal 27 binary64) y) x)))
(/.f64 #s(literal -3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) (/.f64 y x)) (neg.f64 z)))
(/.f64 #s(literal -3 binary64) (*.f64 (neg.f64 z) (*.f64 #s(literal 54 binary64) (/.f64 y x))))
(/.f64 #s(literal -3 binary64) (*.f64 (*.f64 #s(literal -27 binary64) (/.f64 y x)) (*.f64 #s(literal 2 binary64) z)))
(/.f64 #s(literal -3 binary64) (*.f64 (/.f64 (*.f64 #s(literal 27 binary64) y) x) (*.f64 #s(literal -2 binary64) z)))
(/.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 (*.f64 #s(literal -54 binary64) y) z))
(/.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 (*.f64 #s(literal 54 binary64) y) (neg.f64 z)))
(/.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 (neg.f64 z) (*.f64 #s(literal 54 binary64) y)))
(/.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 z (*.f64 #s(literal -54 binary64) y)))
(/.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x y)) (neg.f64 z))
(/.f64 (/.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) z) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal -1/27 binary64) (/.f64 x y)) (*.f64 (*.f64 z #s(literal 1/3 binary64)) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 9 binary64) (/.f64 y x)) (*.f64 #s(literal -2 binary64) z)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (/.f64 #s(literal 18 binary64) (/.f64 x y))))
(/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 (/.f64 x y) z)) #s(literal 2 binary64))
(/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 #s(literal -27 binary64) y)))
(/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -27 binary64) y) (*.f64 #s(literal -2 binary64) z)))
(/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 54 binary64) y) z))
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) z)
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 9 binary64) (/.f64 y x)) #s(literal 2 binary64)))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 #s(literal 18 binary64) (/.f64 x y)))
(/.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 #s(literal 9 binary64) (/.f64 y x)))
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/54 binary64)) (*.f64 z #s(literal 1/3 binary64)))
(/.f64 (/.f64 #s(literal 3 binary64) z) (*.f64 #s(literal 54 binary64) (/.f64 y x)))
(/.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) (*.f64 #s(literal -2 binary64) z))
(/.f64 (neg.f64 x) (*.f64 (*.f64 #s(literal -54 binary64) y) (*.f64 z #s(literal 1/3 binary64))))
(/.f64 (neg.f64 x) (*.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 #s(literal -54 binary64) y)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 9 binary64) (/.f64 y x)) z))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 z (*.f64 x #s(literal 1/9 binary64))) y))
(/.f64 (/.f64 x y) (*.f64 #s(literal 54 binary64) (*.f64 z #s(literal 1/3 binary64))))
(/.f64 (/.f64 x y) (*.f64 (*.f64 z #s(literal 1/3 binary64)) #s(literal 54 binary64)))
(/.f64 #s(literal 1/18 binary64) (/.f64 z (/.f64 x y)))
(/.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) y) x) (*.f64 #s(literal 2 binary64) z))
(/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (*.f64 (*.f64 z #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (*.f64 z #s(literal 2/3 binary64)))
(/.f64 x (*.f64 (*.f64 #s(literal 54 binary64) y) (*.f64 z #s(literal 1/3 binary64))))
(/.f64 x (*.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 #s(literal 54 binary64) y)))
(/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) (/.f64 y x)) z))
(/.f64 #s(literal 3 binary64) (*.f64 (/.f64 z (/.f64 x y)) #s(literal 54 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 x (/.f64 #s(literal 3/2 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 (/.f64 x y) #s(literal 1/54 binary64)) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 #s(literal 1/18 binary64) x)) y))
(neg.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x y)) z))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z (*.f64 #s(literal 1/18 binary64) x)) y)))
(neg.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (neg.f64 z)))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z))))
(neg.f64 (*.f64 (/.f64 (/.f64 (neg.f64 x) y) z) #s(literal 1/18 binary64)))
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal 1/18 binary64) z)))
(neg.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) z)) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z (*.f64 #s(literal 1/18 binary64) x)) y)) #s(literal -1 binary64)))

eval288.0ms (1.5%)

Memory
18.2MiB live, 632.5MiB allocated
Compiler

Compiled 28 049 to 4 580 computations (83.7% saved)

prune134.0ms (0.7%)

Memory
28.5MiB live, 219.2MiB allocated
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1 71021 712
Fresh000
Picked112
Done000
Total1 71131 714
Accuracy
98.5%
Counts
1 714 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.1%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))))) #s(literal 1/3 binary64))
▶98.3%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64))
✓98.1%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
Compiler

Compiled 64 to 51 computations (20.3% saved)

simplify196.0ms (1%)

Memory
-25.0MiB live, 87.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))
cost-diff0
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))))
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))))) #s(literal 1/3 binary64))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)))))
cost-diff0
(sqrt.f64 t)
cost-diff0
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))
cost-diff0
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y))))
cost-diff0
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64))
Rules
2 776×lower-fma.f32
2 774×lower-fma.f64
2 208×lower-*.f32
2 190×lower-*.f64
736×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031269
053267
189267
2179265
3395265
4742265
51210265
61511265
72002265
82888265
94206265
104831265
115082265
125094265
135097265
145321265
155413265
165413265
175413265
185429265
05429264
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y))))
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))
(sqrt.f64 t)
t
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y))
(*.f64 #s(literal 1/18 binary64) x)
#s(literal 1/18 binary64)
x
(*.f64 z y)
z
y
#s(literal 1/3 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))))) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)))))
#s(literal 1 binary64)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))
#s(literal 1/2 binary64)
(PI.f64)
(asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))
#s(literal 1/18 binary64)
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(/.f64 (sqrt.f64 t) z)
(sqrt.f64 t)
t
z
y
x
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #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 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/3 binary64)
Outputs
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))))
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(sqrt.f64 t)
t
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)
(*.f64 #s(literal 1/18 binary64) x)
(*.f64 x #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
x
(*.f64 z y)
(*.f64 y z)
z
y
#s(literal 1/3 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))))) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal -1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))))
#s(literal 1 binary64)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))))
(/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))))
#s(literal 1/2 binary64)
(PI.f64)
(asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))
(asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(/.f64 (sqrt.f64 t) z)
(sqrt.f64 t)
t
z
y
x
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/4 binary64)
(pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))
(pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/3 binary64)

localize105.0ms (0.6%)

Memory
3.2MiB live, 157.9MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.236660009768442
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))
accuracy0.95703125
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))))) #s(literal 1/3 binary64))
accuracy2.7914953651525023
(/.f64 (/.f64 (sqrt.f64 t) z) y)
accuracy5.136082820236789
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
accuracy0.33203125
(*.f64 #s(literal 1/18 binary64) x)
accuracy0.95703125
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64))
accuracy2.769138507660164
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))
accuracy5.3006151004309965
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y))
Samples
86.0ms256×0valid
Compiler

Compiled 275 to 34 computations (87.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-div: 25.0ms (37.7% of total)
ival-mult: 14.0ms (21.1% of total)
const: 10.0ms (15.1% of total)
ival-pow2: 8.0ms (12.1% of total)
ival-acos: 2.0ms (3% of total)
ival-asin: 2.0ms (3% of total)
ival-sqrt: 2.0ms (3% of total)
ival-pi: 1.0ms (1.5% of total)
ival-add: 1.0ms (1.5% of total)
ival-sub: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series121.0ms (0.6%)

Memory
-2.9MiB live, 155.4MiB allocated
Counts
13 → 528
Calls
Call 1
Inputs
#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) (patch (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y))) (patch (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y))) #<representation binary64>) () ())
#s(alt (sqrt.f64 t) (patch (sqrt.f64 t) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)))) (patch (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (patch (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)) (patch (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/18 binary64) x) (patch (*.f64 #s(literal 1/18 binary64) x) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) (patch (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (sqrt.f64 t) z) y) (patch (/.f64 (/.f64 (sqrt.f64 t) z) y) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)) (patch (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) (patch (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) (patch (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) (patch (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) (patch (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y))) (patch (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y))) (patch (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y))) (patch (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y))) (patch (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (sqrt t) (taylor 0 t) (#s(alt (sqrt.f64 t) (patch (sqrt.f64 t) #<representation binary64>) () ())) ())
#s(alt (sqrt t) (taylor 0 t) (#s(alt (sqrt.f64 t) (patch (sqrt.f64 t) #<representation binary64>) () ())) ())
#s(alt (sqrt t) (taylor 0 t) (#s(alt (sqrt.f64 t) (patch (sqrt.f64 t) #<representation binary64>) () ())) ())
#s(alt (sqrt t) (taylor 0 t) (#s(alt (sqrt.f64 t) (patch (sqrt.f64 t) #<representation binary64>) () ())) ())
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#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)) (patch (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
45.0ms
t
@0
((* (acos (* (sqrt t) (/ (* 1/18 x) (* z y)))) 1/3) (acos (* (sqrt t) (/ (* 1/18 x) (* z y)))) (* (sqrt t) (/ (* 1/18 x) (* z y))) (sqrt t) (/ 1 (/ (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)))) (* (/ 1 (/ (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)))) 1/3) (/ (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2))) (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) (/ (* 1/18 x) (* z y)) (* 1/18 x) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (* 1/18 (* (/ (/ (sqrt t) z) y) x)))
14.0ms
x
@inf
((* (acos (* (sqrt t) (/ (* 1/18 x) (* z y)))) 1/3) (acos (* (sqrt t) (/ (* 1/18 x) (* z y)))) (* (sqrt t) (/ (* 1/18 x) (* z y))) (sqrt t) (/ 1 (/ (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)))) (* (/ 1 (/ (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)))) 1/3) (/ (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2))) (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) (/ (* 1/18 x) (* z y)) (* 1/18 x) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (* 1/18 (* (/ (/ (sqrt t) z) y) x)))
5.0ms
y
@0
((* (acos (* (sqrt t) (/ (* 1/18 x) (* z y)))) 1/3) (acos (* (sqrt t) (/ (* 1/18 x) (* z y)))) (* (sqrt t) (/ (* 1/18 x) (* z y))) (sqrt t) (/ 1 (/ (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)))) (* (/ 1 (/ (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)))) 1/3) (/ (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2))) (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) (/ (* 1/18 x) (* z y)) (* 1/18 x) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (* 1/18 (* (/ (/ (sqrt t) z) y) x)))
4.0ms
t
@-inf
((* (acos (* (sqrt t) (/ (* 1/18 x) (* z y)))) 1/3) (acos (* (sqrt t) (/ (* 1/18 x) (* z y)))) (* (sqrt t) (/ (* 1/18 x) (* z y))) (sqrt t) (/ 1 (/ (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)))) (* (/ 1 (/ (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)))) 1/3) (/ (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2))) (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) (/ (* 1/18 x) (* z y)) (* 1/18 x) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (* 1/18 (* (/ (/ (sqrt t) z) y) x)))
4.0ms
y
@-inf
((* (acos (* (sqrt t) (/ (* 1/18 x) (* z y)))) 1/3) (acos (* (sqrt t) (/ (* 1/18 x) (* z y)))) (* (sqrt t) (/ (* 1/18 x) (* z y))) (sqrt t) (/ 1 (/ (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)))) (* (/ 1 (/ (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)))) 1/3) (/ (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2))) (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) (/ (* 1/18 x) (* z y)) (* 1/18 x) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (* 1/18 (* (/ (/ (sqrt t) z) y) x)))

simplify179.0ms (0.9%)

Memory
-2.7MiB live, 190.2MiB allocated
Algorithm
1×egg-herbie
Rules
3 852×lower-*.f64
3 852×lower-*.f32
2 806×lower-fma.f64
2 806×lower-fma.f32
1 900×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0569132
11308916
23948880
317968880
448808880
572478880
082598640
Stop Event
1×iter limit
1×node limit
Counts
528 → 528
Calls
Call 1
Inputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(/ (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(/ (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(/ (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(/ (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))
(+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))
(+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))
(+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))
(* 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)
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
Outputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)
(sqrt t)
(sqrt.f64 t)
(sqrt t)
(sqrt.f64 t)
(sqrt t)
(sqrt.f64 t)
(sqrt t)
(sqrt.f64 t)
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))))
(/ (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))))
(/ (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))))
(/ (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))))
(/ (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))))
(+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))
(+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))
(+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))
(+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))
(* (sqrt t) (/ x (* y z)))
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y))
(* (sqrt t) (/ x (* y z)))
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y))
(* (sqrt t) (/ x (* y z)))
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y))
(* (sqrt t) (/ x (* y z)))
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y))
(* (sqrt t) (/ 1 (* y z)))
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(* (sqrt t) (/ 1 (* y z)))
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(* (sqrt t) (/ 1 (* y z)))
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(* (sqrt t) (/ 1 (* y z)))
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)
(sqrt t)
(sqrt.f64 t)
(sqrt t)
(sqrt.f64 t)
(sqrt t)
(sqrt.f64 t)
(sqrt t)
(sqrt.f64 t)
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))))
(/ (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))))
(/ (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))))
(/ (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))))
(+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))
(+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))
(+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))
(+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* (sqrt t) (/ x (* y z)))
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y))
(* (sqrt t) (/ x (* y z)))
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y))
(* (sqrt t) (/ x (* y z)))
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y))
(* (sqrt t) (/ x (* y z)))
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)

rewrite405.0ms (2.1%)

Memory
-16.0MiB live, 417.2MiB allocated
Rules
10 706×lower-fma.f32
10 704×lower-fma.f64
5 752×lower-*.f32
5 736×lower-*.f64
3 184×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031192
053142
1175121
21135120
08725120
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
13 → 1 351
Calls
Call 1
Inputs
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y))))
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))
(sqrt.f64 t)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))))) #s(literal 1/3 binary64))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y))
(*.f64 #s(literal 1/18 binary64) x)
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))
Outputs
(*.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 (PI.f64) (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))))) #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (PI.f64) (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))))) (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 4 binary64)))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (PI.f64) (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))))) (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 6 binary64)))) (pow.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (PI.f64) (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))))) (-.f64 (PI.f64) (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))))) (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (-.f64 (PI.f64) (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (-.f64 (PI.f64) (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)))))) (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 1/2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 2 binary64)))) (pow.f64 (-.f64 (PI.f64) (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 (PI.f64) (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (PI.f64) (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 2 binary64))))
(*.f64 #s(literal -1/3 binary64) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))))
(*.f64 (pow.f64 (-.f64 (PI.f64) (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal -1 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 1/3 binary64))
(*.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))))
(pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 (PI.f64) (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))))) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (PI.f64) (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 2 binary64)))))
(/.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 2 binary64)))) (/.f64 #s(literal 1/3 binary64) (-.f64 (PI.f64) (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal 1/3 binary64) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64))))
(neg.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))))))
(neg.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 (PI.f64) (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 2 binary64)))))
(neg.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))))))
(neg.f64 (*.f64 (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64)))
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(*.f64 (pow.f64 (/.f64 (neg.f64 y) (sqrt.f64 t)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 (/.f64 y (sqrt.f64 t)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 t)) y) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (sqrt.f64 t) (neg.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 (sqrt.f64 t)) z))
(*.f64 (/.f64 (sqrt.f64 t) y) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (sqrt.f64 t) z))
(*.f64 (pow.f64 (*.f64 y z) #s(literal -1 binary64)) (sqrt.f64 t))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 t #s(literal -1/2 binary64))))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (sqrt.f64 t) y))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 t)) z) (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 (sqrt.f64 t)) (/.f64 #s(literal -1 binary64) (*.f64 y z)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 (sqrt.f64 t)) z) y))
(*.f64 (/.f64 (sqrt.f64 t) z) (pow.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y))
(*.f64 (sqrt.f64 t) (pow.f64 (*.f64 y z) #s(literal -1 binary64)))
(pow.f64 (*.f64 (/.f64 z (sqrt.f64 t)) y) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (neg.f64 (sqrt.f64 t)) y)) z)
(/.f64 (/.f64 (neg.f64 (sqrt.f64 t)) y) (neg.f64 z))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 z) (sqrt.f64 t)))
(/.f64 (/.f64 (sqrt.f64 t) y) z)
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 z (sqrt.f64 t)))
(/.f64 (/.f64 (neg.f64 (sqrt.f64 t)) z) (neg.f64 y))
(/.f64 (neg.f64 (sqrt.f64 t)) (*.f64 (neg.f64 z) y))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y (sqrt.f64 t)) (neg.f64 z)))
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (/.f64 (neg.f64 (sqrt.f64 t)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (sqrt.f64 t) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) (pow.f64 y #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (sqrt.f64 t)) y))
(/.f64 (sqrt.f64 t) (*.f64 y z))
(neg.f64 (/.f64 (/.f64 (neg.f64 (sqrt.f64 t)) y) z))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 t)) (*.f64 y z)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z (sqrt.f64 t)) y)))
(neg.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 t)) z)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (sqrt.f64 t)) z) y)))
(neg.f64 (/.f64 (sqrt.f64 t) (*.f64 (neg.f64 z) y)))
(neg.f64 (/.f64 (/.f64 (neg.f64 (sqrt.f64 t)) z) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 (sqrt.f64 t)) z) y))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) y)) (/.f64 (sqrt.f64 t) (*.f64 (neg.f64 z) y)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 (sqrt.f64 t)) z) y))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z (sqrt.f64 t)) y)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)) x) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 x #s(literal 1/18 binary64))) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 y z) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)) (pow.f64 t #s(literal 1/4 binary64))) (pow.f64 t #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) (/.f64 #s(literal 1/18 binary64) y))
(*.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) y)) (/.f64 x z))
(*.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z)) #s(literal 1/18 binary64))
(*.f64 (*.f64 (sqrt.f64 t) (/.f64 x y)) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (neg.f64 (sqrt.f64 t)) z)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) #s(literal -1 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) y))
(*.f64 (/.f64 (sqrt.f64 t) (neg.f64 y)) (/.f64 (*.f64 #s(literal -1/18 binary64) x) z))
(*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (neg.f64 (sqrt.f64 t)) z))
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 y #s(literal 18 binary64))) (/.f64 x z))
(*.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) (/.f64 #s(literal 1/18 binary64) y))
(*.f64 (/.f64 (sqrt.f64 t) (/.f64 y x)) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)) (/.f64 x y))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) z) (/.f64 x y))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 y #s(literal 18 binary64))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 z x)))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 z x)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 y #s(literal 18 binary64))))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 y x)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z #s(literal 18 binary64))))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z #s(literal 18 binary64))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 y x)))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 y z)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (pow.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) y) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 z (*.f64 x #s(literal 1/18 binary64)))))
(*.f64 (/.f64 (sqrt.f64 t) #s(literal -1 binary64)) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) z) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 y (*.f64 x #s(literal 1/18 binary64)))))
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) y) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) z)) (sqrt.f64 t)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) #s(literal 1/18 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) z)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) x) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (*.f64 (pow.f64 y #s(literal -1 binary64)) x))
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))
(*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 x (/.f64 #s(literal 1/18 binary64) z)))
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) z))
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) (*.f64 y #s(literal 18 binary64))))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (sqrt.f64 t) (/.f64 z x)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) x) (/.f64 #s(literal -1 binary64) (*.f64 y z)))
(*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) z) (/.f64 (sqrt.f64 t) (neg.f64 y)))
(*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) z)) (/.f64 (sqrt.f64 t) y))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))
(*.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (pow.f64 (*.f64 y z) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) z)))
(*.f64 (pow.f64 (*.f64 y z) #s(literal -1 binary64)) (/.f64 (sqrt.f64 t) (pow.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal -1 binary64))))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (sqrt.f64 t) (/.f64 y (*.f64 x #s(literal 1/18 binary64)))))
(*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) (/.f64 y x)))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 (/.f64 x y) (sqrt.f64 t)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 t)) z) (/.f64 (*.f64 #s(literal -1/18 binary64) x) y))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))
(*.f64 (/.f64 (sqrt.f64 t) z) (*.f64 #s(literal 1/18 binary64) (/.f64 x y)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))
(*.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t))
(*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) y))
(*.f64 x (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 x y) z) (sqrt.f64 t)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))
(pow.f64 (*.f64 (/.f64 y (*.f64 (sqrt.f64 t) x)) (*.f64 z #s(literal 18 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)) (/.f64 y x))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) y)) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) z)) (sqrt.f64 t))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) z))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) x)) (*.f64 y z))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) #s(literal 1/18 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) x)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) y) z)
(/.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) z)) (sqrt.f64 t)) y)
(/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) #s(literal 1/18 binary64)) y)
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) z)) y)
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) x) y)
(/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 (*.f64 y z) x))
(/.f64 (/.f64 (sqrt.f64 t) y) (/.f64 z (*.f64 x #s(literal 1/18 binary64))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) x) (*.f64 (neg.f64 z) y))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 y z))
(/.f64 (neg.f64 (sqrt.f64 t)) (/.f64 (/.f64 (*.f64 y z) x) #s(literal -1/18 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 y (*.f64 (sqrt.f64 t) x)) (*.f64 z #s(literal 18 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) z)) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y (*.f64 (sqrt.f64 t) x)) (*.f64 z #s(literal 18 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x)) (sqrt.f64 t)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) #s(literal 1/18 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 (sqrt.f64 t) x)) (*.f64 z #s(literal 18 binary64))))
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 (/.f64 z (sqrt.f64 t)) y))
(/.f64 #s(literal 1/18 binary64) (/.f64 y (*.f64 (/.f64 (sqrt.f64 t) z) x)))
(/.f64 (sqrt.f64 t) (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x)))
(neg.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) x) (*.f64 y z)))
(neg.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 (neg.f64 z) y)))
(neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z))))
(neg.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (/.f64 (neg.f64 (sqrt.f64 t)) z) y)))
(neg.f64 (*.f64 (/.f64 (neg.f64 (sqrt.f64 t)) z) (*.f64 #s(literal 1/18 binary64) (/.f64 x y))))
(neg.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t)))
(neg.f64 (*.f64 (/.f64 (/.f64 (neg.f64 (sqrt.f64 t)) z) y) (*.f64 x #s(literal 1/18 binary64))))

eval413.0ms (2.2%)

Memory
55.5MiB live, 751.5MiB allocated
Compiler

Compiled 95 730 to 6 071 computations (93.7% saved)

prune65.0ms (0.3%)

Memory
11.5MiB live, 205.3MiB allocated
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2 25522 257
Fresh000
Picked112
Done011
Total2 25642 260
Accuracy
100.0%
Counts
2 260 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))
▶98.1%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)))
✓98.3%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64))
✓98.1%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
Compiler

Compiled 60 to 59 computations (1.7% saved)

simplify11.0ms (0.1%)

Memory
-17.8MiB live, 21.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))
cost-diff0
(pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64))
cost-diff6080
(*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64))
cost-diff6848
(pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))
cost-diff0
(acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))
cost-diff0
(pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64))
cost-diff1088
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)))
cost-diff6080
(*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64))
Rules
244×lower-*.f32
238×lower-*.f64
90×lower-/.f32
84×lower-/.f64
80×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018177
028177
142165
277165
3130165
4202165
5266165
6283165
0283165
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)))
#s(literal 1 binary64)
(*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64))
(pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64))
(acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 (/.f64 (sqrt.f64 t) y) x)
(/.f64 (sqrt.f64 t) y)
(sqrt.f64 t)
t
y
x
(/.f64 #s(literal 1/18 binary64) z)
#s(literal 1/18 binary64)
z
#s(literal -1 binary64)
#s(literal 3 binary64)
(pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64))
(pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64))
(acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 (/.f64 (sqrt.f64 t) y) x)
(/.f64 (sqrt.f64 t) y)
(sqrt.f64 t)
t
y
x
(/.f64 #s(literal 1/18 binary64) z)
#s(literal 1/18 binary64)
z
#s(literal -1 binary64)
#s(literal 3 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 #s(literal 1/18 binary64) x))))
#s(literal 1 binary64)
(*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 #s(literal 1/18 binary64) x))))
(pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64))
(pow.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 #s(literal 1/18 binary64) x))) #s(literal -1 binary64))
(acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))
(acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 #s(literal 1/18 binary64) x)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 #s(literal 1/18 binary64) x))
(*.f64 (/.f64 (sqrt.f64 t) y) x)
(*.f64 x (/.f64 (sqrt.f64 t) y))
(/.f64 (sqrt.f64 t) y)
(sqrt.f64 t)
t
y
x
(/.f64 #s(literal 1/18 binary64) z)
#s(literal 1/18 binary64)
z
#s(literal -1 binary64)
#s(literal 3 binary64)
(pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 #s(literal 1/18 binary64) x))))
(*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 #s(literal 1/18 binary64) x))))
(pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64))
(pow.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 #s(literal 1/18 binary64) x))) #s(literal -1 binary64))
(acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))
(acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 #s(literal 1/18 binary64) x)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 #s(literal 1/18 binary64) x))
(*.f64 (/.f64 (sqrt.f64 t) y) x)
(*.f64 x (/.f64 (sqrt.f64 t) y))
(/.f64 (sqrt.f64 t) y)
(sqrt.f64 t)
t
y
x
(/.f64 #s(literal 1/18 binary64) z)
#s(literal 1/18 binary64)
z
#s(literal -1 binary64)
#s(literal 3 binary64)

localize3.8s (20.2%)

Memory
21.0MiB live, 99.2MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.24609375
(/.f64 (sqrt.f64 t) y)
accuracy0.40234375
(/.f64 #s(literal 1/18 binary64) z)
accuracy3.6855576301729136
(*.f64 (/.f64 (sqrt.f64 t) y) x)
accuracy4.465507699628753
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))
accuracy0.40234375
(/.f64 #s(literal 1/18 binary64) z)
accuracy0.953125
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)))
accuracy3.6855576301729136
(*.f64 (/.f64 (sqrt.f64 t) y) x)
accuracy4.465507699628753
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))
Samples
60.0ms256×0valid
Compiler

Compiled 179 to 20 computations (88.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-div: 28.0ms (61.9% of total)
ival-mult: 5.0ms (11.1% of total)
ival-pow: 4.0ms (8.8% of total)
const: 3.0ms (6.6% of total)
ival-acos: 2.0ms (4.4% of total)
ival-sqrt: 2.0ms (4.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series3.8s (19.9%)

Memory
-36.7MiB live, 111.9MiB allocated
Counts
9 → 360
Calls
Call 1
Inputs
#s(alt (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)) (patch (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) (patch (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) (patch (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #<representation binary64>) () ())
#s(alt (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)) (patch (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (sqrt.f64 t) y) x) (patch (*.f64 (/.f64 (sqrt.f64 t) y) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/18 binary64) z) (patch (/.f64 #s(literal 1/18 binary64) z) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 t) y) (patch (/.f64 (sqrt.f64 t) y) #<representation binary64>) () ())
Outputs
#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)) (patch (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)) (patch (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)) (patch (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)) (patch (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) (patch (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) (patch (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) (patch (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) (patch (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) (patch (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) (patch (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) (patch (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) (patch (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)) (patch (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)) (patch (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)) (patch (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)) #<representation binary64>) () ())) ())
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#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor inf x) (#s(alt (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)) (patch (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor inf x) (#s(alt (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)) (patch (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt t) (/ x y)) (taylor inf x) (#s(alt (*.f64 (/.f64 (sqrt.f64 t) y) x) (patch (*.f64 (/.f64 (sqrt.f64 t) y) x) #<representation binary64>) () ())) ())
#s(alt (* (sqrt t) (/ x y)) (taylor inf x) (#s(alt (*.f64 (/.f64 (sqrt.f64 t) y) x) (patch (*.f64 (/.f64 (sqrt.f64 t) y) x) #<representation binary64>) () ())) ())
#s(alt (* (sqrt t) (/ x y)) (taylor inf x) (#s(alt (*.f64 (/.f64 (sqrt.f64 t) y) x) (patch (*.f64 (/.f64 (sqrt.f64 t) y) x) #<representation binary64>) () ())) ())
#s(alt (* (sqrt t) (/ x y)) (taylor inf x) (#s(alt (*.f64 (/.f64 (sqrt.f64 t) y) x) (patch (*.f64 (/.f64 (sqrt.f64 t) y) x) #<representation binary64>) () ())) ())
#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)) (patch (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)) (patch (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)) (patch (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)) (patch (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) (patch (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) (patch (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) (patch (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) (patch (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor -inf x) (#s(alt (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) (patch (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor -inf x) (#s(alt (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) (patch (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor -inf x) (#s(alt (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) (patch (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor -inf x) (#s(alt (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) (patch (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)) (patch (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)) (patch (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)) (patch (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)) (patch (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt t) (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sqrt.f64 t) y) x) (patch (*.f64 (/.f64 (sqrt.f64 t) y) x) #<representation binary64>) () ())) ())
#s(alt (* (sqrt t) (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sqrt.f64 t) y) x) (patch (*.f64 (/.f64 (sqrt.f64 t) y) x) #<representation binary64>) () ())) ())
#s(alt (* (sqrt t) (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sqrt.f64 t) y) x) (patch (*.f64 (/.f64 (sqrt.f64 t) y) x) #<representation binary64>) () ())) ())
#s(alt (* (sqrt t) (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sqrt.f64 t) y) x) (patch (*.f64 (/.f64 (sqrt.f64 t) y) x) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
3.7s
t
@0
((* (pow (acos (* (* (/ (sqrt t) y) x) (/ 1/18 z))) -1) 3) (/ 1 (* (pow (acos (* (* (/ (sqrt t) y) x) (/ 1/18 z))) -1) 3)) (pow (acos (* (* (/ (sqrt t) y) x) (/ 1/18 z))) -1) (acos (* (* (/ (sqrt t) y) x) (/ 1/18 z))) (pow (* (pow (acos (* (* (/ (sqrt t) y) x) (/ 1/18 z))) -1) 3) -1) (* (* (/ (sqrt t) y) x) (/ 1/18 z)) (* (/ (sqrt t) y) x) (/ 1/18 z) (/ (sqrt t) y))
5.0ms
y
@inf
((* (pow (acos (* (* (/ (sqrt t) y) x) (/ 1/18 z))) -1) 3) (/ 1 (* (pow (acos (* (* (/ (sqrt t) y) x) (/ 1/18 z))) -1) 3)) (pow (acos (* (* (/ (sqrt t) y) x) (/ 1/18 z))) -1) (acos (* (* (/ (sqrt t) y) x) (/ 1/18 z))) (pow (* (pow (acos (* (* (/ (sqrt t) y) x) (/ 1/18 z))) -1) 3) -1) (* (* (/ (sqrt t) y) x) (/ 1/18 z)) (* (/ (sqrt t) y) x) (/ 1/18 z) (/ (sqrt t) y))
4.0ms
t
@-inf
((* (pow (acos (* (* (/ (sqrt t) y) x) (/ 1/18 z))) -1) 3) (/ 1 (* (pow (acos (* (* (/ (sqrt t) y) x) (/ 1/18 z))) -1) 3)) (pow (acos (* (* (/ (sqrt t) y) x) (/ 1/18 z))) -1) (acos (* (* (/ (sqrt t) y) x) (/ 1/18 z))) (pow (* (pow (acos (* (* (/ (sqrt t) y) x) (/ 1/18 z))) -1) 3) -1) (* (* (/ (sqrt t) y) x) (/ 1/18 z)) (* (/ (sqrt t) y) x) (/ 1/18 z) (/ (sqrt t) y))
3.0ms
t
@inf
((* (pow (acos (* (* (/ (sqrt t) y) x) (/ 1/18 z))) -1) 3) (/ 1 (* (pow (acos (* (* (/ (sqrt t) y) x) (/ 1/18 z))) -1) 3)) (pow (acos (* (* (/ (sqrt t) y) x) (/ 1/18 z))) -1) (acos (* (* (/ (sqrt t) y) x) (/ 1/18 z))) (pow (* (pow (acos (* (* (/ (sqrt t) y) x) (/ 1/18 z))) -1) 3) -1) (* (* (/ (sqrt t) y) x) (/ 1/18 z)) (* (/ (sqrt t) y) x) (/ 1/18 z) (/ (sqrt t) y))
3.0ms
y
@-inf
((* (pow (acos (* (* (/ (sqrt t) y) x) (/ 1/18 z))) -1) 3) (/ 1 (* (pow (acos (* (* (/ (sqrt t) y) x) (/ 1/18 z))) -1) 3)) (pow (acos (* (* (/ (sqrt t) y) x) (/ 1/18 z))) -1) (acos (* (* (/ (sqrt t) y) x) (/ 1/18 z))) (pow (* (pow (acos (* (* (/ (sqrt t) y) x) (/ 1/18 z))) -1) 3) -1) (* (* (/ (sqrt t) y) x) (/ 1/18 z)) (* (/ (sqrt t) y) x) (/ 1/18 z) (/ (sqrt t) y))

simplify142.0ms (0.7%)

Memory
9.6MiB live, 165.1MiB allocated
Algorithm
1×egg-herbie
Rules
4 894×lower-fma.f64
4 894×lower-fma.f32
3 296×lower-*.f64
3 296×lower-*.f32
2 332×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0424000
1873872
22553852
39613852
425003852
548643852
668323852
778483852
080113852
Stop Event
1×iter limit
1×node limit
Counts
360 → 360
Calls
Call 1
Inputs
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* (sqrt t) (/ x y))
(* (sqrt t) (/ x y))
(* (sqrt t) (/ x y))
(* (sqrt t) (/ x y))
(* (sqrt t) (/ 1 y))
(* (sqrt t) (/ 1 y))
(* (sqrt t) (/ 1 y))
(* (sqrt t) (/ 1 y))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* (sqrt t) (/ x y))
(* (sqrt t) (/ x y))
(* (sqrt t) (/ x y))
(* (sqrt t) (/ x y))
(* (sqrt t) (/ 1 y))
(* (sqrt t) (/ 1 y))
(* (sqrt t) (/ 1 y))
(* (sqrt t) (/ 1 y))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 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 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(/ 1 (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 (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 (pow (sqrt -1) 2)) (* y z))))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) y)))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) y)))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) y)))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) y)))
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) y)))
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) y)))
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) y)))
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) y)))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/ 1/18 z)
(/ 1/18 z)
(/ 1/18 z)
(/ 1/18 z)
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/ 1/18 z)
(/ 1/18 z)
(/ 1/18 z)
(/ 1/18 z)
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/ 1/18 z)
(/ 1/18 z)
(/ 1/18 z)
(/ 1/18 z)
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* (sqrt t) (/ x y))
(* (sqrt t) (/ x y))
(* (sqrt t) (/ x y))
(* (sqrt t) (/ x y))
(* (sqrt t) (/ 1 y))
(* (sqrt t) (/ 1 y))
(* (sqrt t) (/ 1 y))
(* (sqrt t) (/ 1 y))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* (sqrt t) (/ x y))
(* (sqrt t) (/ x y))
(* (sqrt t) (/ x y))
(* (sqrt t) (/ x y))
(* (sqrt t) (/ 1 y))
(* (sqrt t) (/ 1 y))
(* (sqrt t) (/ 1 y))
(* (sqrt t) (/ 1 y))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* (sqrt t) (/ x y))
(* (sqrt t) (/ x y))
(* (sqrt t) (/ x y))
(* (sqrt t) (/ x y))
(* (sqrt t) (/ 1 y))
(* (sqrt t) (/ 1 y))
(* (sqrt t) (/ 1 y))
(* (sqrt t) (/ 1 y))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* (sqrt t) (/ x y))
(* (sqrt t) (/ x y))
(* (sqrt t) (/ x y))
(* (sqrt t) (/ x y))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* (sqrt t) (/ x y))
(* (sqrt t) (/ x y))
(* (sqrt t) (/ x y))
(* (sqrt t) (/ x y))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* (sqrt t) (/ x y))
(* (sqrt t) (/ x y))
(* (sqrt t) (/ x y))
(* (sqrt t) (/ x y))
Outputs
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))
(* (sqrt t) (/ x y))
(*.f64 (/.f64 (sqrt.f64 t) y) x)
(* (sqrt t) (/ x y))
(*.f64 (/.f64 (sqrt.f64 t) y) x)
(* (sqrt t) (/ x y))
(*.f64 (/.f64 (sqrt.f64 t) y) x)
(* (sqrt t) (/ x y))
(*.f64 (/.f64 (sqrt.f64 t) y) x)
(* (sqrt t) (/ 1 y))
(/.f64 (sqrt.f64 t) y)
(* (sqrt t) (/ 1 y))
(/.f64 (sqrt.f64 t) y)
(* (sqrt t) (/ 1 y))
(/.f64 (sqrt.f64 t) y)
(* (sqrt t) (/ 1 y))
(/.f64 (sqrt.f64 t) y)
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* (sqrt t) (/ x y))
(*.f64 (/.f64 (sqrt.f64 t) y) x)
(* (sqrt t) (/ x y))
(*.f64 (/.f64 (sqrt.f64 t) y) x)
(* (sqrt t) (/ x y))
(*.f64 (/.f64 (sqrt.f64 t) y) x)
(* (sqrt t) (/ x y))
(*.f64 (/.f64 (sqrt.f64 t) y) x)
(* (sqrt t) (/ 1 y))
(/.f64 (sqrt.f64 t) y)
(* (sqrt t) (/ 1 y))
(/.f64 (sqrt.f64 t) y)
(* (sqrt t) (/ 1 y))
(/.f64 (sqrt.f64 t) y)
(* (sqrt t) (/ 1 y))
(/.f64 (sqrt.f64 t) y)
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))
(* (sqrt t) (/ x y))
(*.f64 (/.f64 (sqrt.f64 t) y) x)
(* (sqrt t) (/ x y))
(*.f64 (/.f64 (sqrt.f64 t) y) x)
(* (sqrt t) (/ x y))
(*.f64 (/.f64 (sqrt.f64 t) y) x)
(* (sqrt t) (/ x y))
(*.f64 (/.f64 (sqrt.f64 t) y) x)
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))
(* (sqrt t) (/ x y))
(*.f64 (/.f64 (sqrt.f64 t) y) x)
(* (sqrt t) (/ x y))
(*.f64 (/.f64 (sqrt.f64 t) y) x)
(* (sqrt t) (/ x y))
(*.f64 (/.f64 (sqrt.f64 t) y) x)
(* (sqrt t) (/ x y))
(*.f64 (/.f64 (sqrt.f64 t) y) x)
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))
(* (sqrt t) (/ x y))
(*.f64 (/.f64 (sqrt.f64 t) y) x)
(* (sqrt t) (/ x y))
(*.f64 (/.f64 (sqrt.f64 t) y) x)
(* (sqrt t) (/ x y))
(*.f64 (/.f64 (sqrt.f64 t) y) x)
(* (sqrt t) (/ x y))
(*.f64 (/.f64 (sqrt.f64 t) y) x)

rewrite201.0ms (1.1%)

Memory
-3.5MiB live, 234.6MiB allocated
Rules
4 770×lower-*.f32
4 764×lower-*.f64
2 672×lower-fma.f64
2 672×lower-fma.f32
2 332×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01896
02896
18686
238586
3299386
0824086
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
9 → 631
Calls
Call 1
Inputs
(*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)))
(pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64))
(acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))
(pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 (/.f64 (sqrt.f64 t) y) x)
(/.f64 #s(literal 1/18 binary64) z)
(/.f64 (sqrt.f64 t) y)
Outputs
(*.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (/.f64 x #s(literal 18 binary64))))) (log.f64 #s(literal 3 binary64)))) (pow.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (/.f64 x #s(literal 18 binary64)))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (/.f64 x #s(literal 18 binary64))))) (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (/.f64 x #s(literal 18 binary64)))) #s(literal -1/2 binary64)) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (/.f64 x #s(literal 18 binary64)))) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (/.f64 x #s(literal 18 binary64))))) (pow.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (/.f64 x #s(literal 18 binary64)))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (/.f64 x #s(literal 18 binary64)))) #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (/.f64 x #s(literal 18 binary64))))) (pow.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (/.f64 x #s(literal 18 binary64)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (/.f64 x #s(literal 18 binary64))))) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (/.f64 x #s(literal 18 binary64)))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/2 binary64)) (pow.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (/.f64 x #s(literal 18 binary64)))) #s(literal -1 binary64)))
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(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 18 binary64) z))) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 18 binary64) z) (*.f64 #s(literal 18 binary64) z)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 18 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 18 binary64) z) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1/18 binary64) z) #s(literal 1 binary64))
(/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 18 binary64))
(/.f64 #s(literal -1/18 binary64) (neg.f64 z))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 18 binary64) z))
(/.f64 #s(literal -1 binary64) (*.f64 z #s(literal -18 binary64)))
(/.f64 #s(literal 1/18 binary64) z)
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 18 binary64) z)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/18 binary64) z)))
(neg.f64 (/.f64 #s(literal -1/18 binary64) z))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/18 binary64) z))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 18 binary64) z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (sqrt.f64 t)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 t #s(literal 1/4 binary64))) (pow.f64 t #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (/.f64 y (sqrt.f64 t)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (sqrt.f64 t)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 t))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 (pow.f64 t #s(literal 1/4 binary64)) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (pow.f64 (neg.f64 (sqrt.f64 t)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sqrt.f64 t)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 t #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (sqrt.f64 t))
(*.f64 (neg.f64 (sqrt.f64 t)) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 t) y))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sqrt.f64 t)) y))
(*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1 binary64))
(*.f64 (sqrt.f64 t) (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 y (sqrt.f64 t)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 y (sqrt.f64 t)) (/.f64 y (sqrt.f64 t))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 y (sqrt.f64 t)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (sqrt.f64 t)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1 binary64))
(/.f64 (/.f64 (neg.f64 (sqrt.f64 t)) #s(literal -1 binary64)) y)
(/.f64 (*.f64 (neg.f64 (sqrt.f64 t)) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 t))) (neg.f64 y))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 t #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (sqrt.f64 t)) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 t)))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (sqrt.f64 t)))
(/.f64 (sqrt.f64 t) y)
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 t))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 t)) y)))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 t)) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 (sqrt.f64 t)) y))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sqrt.f64 t)) y))
(exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)) (neg.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal -1 binary64) (*.f64 (log.f64 t) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 t) #s(literal 1/2 binary64) (*.f64 (log.f64 y) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (sqrt.f64 t))) #s(literal -1 binary64)))

eval234.0ms (1.2%)

Memory
-7.7MiB live, 500.0MiB allocated
Compiler

Compiled 37 868 to 3 148 computations (91.7% saved)

prune54.0ms (0.3%)

Memory
24.0MiB live, 148.0MiB allocated
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1 72731 730
Fresh000
Picked202
Done022
Total1 72951 734
Accuracy
100.0%
Counts
1 734 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (/.f64 x #s(literal 18 binary64))))) #s(literal -1 binary64))
99.6%
(pow.f64 #s(approx (* (pow (acos (* (* (/ (sqrt t) y) x) (/ 1/18 z))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))) #s(literal -1 binary64))
98.1%
(/.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (/.f64 x #s(literal 18 binary64)))) #s(literal 3 binary64))
✓98.3%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64))
✓98.1%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
Compiler

Compiled 245 to 146 computations (40.4% saved)

regimes45.0ms (0.2%)

Memory
5.0MiB live, 82.9MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
(/.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (/.f64 x #s(literal 18 binary64)))) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(pow.f64 #s(approx (* (pow (acos (* (* (/ (sqrt t) y) x) (/ 1/18 z))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)))
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (/.f64 x #s(literal 18 binary64))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))))) #s(literal 1/3 binary64))
Outputs
(pow.f64 #s(approx (* (pow (acos (* (* (/ (sqrt t) y) x) (/ 1/18 z))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))) #s(literal -1 binary64))
Calls

13 calls:

4.0ms
(sqrt.f64 t)
4.0ms
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
3.0ms
y
3.0ms
(*.f64 z #s(literal 2 binary64))
3.0ms
(*.f64 y #s(literal 27 binary64))
Results
AccuracySegmentsBranch
99.6%1x
99.6%1y
99.6%1z
99.6%1t
99.6%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
99.6%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
99.6%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
99.6%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
99.6%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
99.6%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
99.6%1(*.f64 y #s(literal 27 binary64))
99.6%1(*.f64 z #s(literal 2 binary64))
99.6%1(sqrt.f64 t)
Compiler

Compiled 83 to 108 computations (-30.1% saved)

regimes43.0ms (0.2%)

Memory
-37.8MiB live, 60.1MiB allocated
Accuracy

Total -0.8b remaining (-69.6%)

Threshold costs -0.8b (-69.6%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
(/.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (/.f64 x #s(literal 18 binary64)))) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
Outputs
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64))
Calls

13 calls:

16.0ms
t
3.0ms
(sqrt.f64 t)
2.0ms
(*.f64 y #s(literal 27 binary64))
2.0ms
(*.f64 z #s(literal 2 binary64))
2.0ms
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
Results
AccuracySegmentsBranch
98.3%1x
98.3%1y
98.3%1z
98.3%1t
98.3%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
98.3%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
98.3%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
98.3%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
98.3%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
98.3%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
98.3%1(*.f64 y #s(literal 27 binary64))
98.3%1(*.f64 z #s(literal 2 binary64))
98.3%1(sqrt.f64 t)
Compiler

Compiled 83 to 108 computations (-30.1% saved)

simplify23.0ms (0.1%)

Memory
8.2MiB live, 47.3MiB allocated
Algorithm
1×egg-herbie
Rules
10×*-commutative-binary64-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03144
13644
Stop Event
1×saturated
Calls
Call 1
Inputs
(pow.f64 #s(approx (* (pow (acos (* (* (/ (sqrt t) y) x) (/ 1/18 z))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))) #s(literal -1 binary64))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64))
Outputs
(pow.f64 #s(approx (* (pow (acos (* (* (/ (sqrt t) y) x) (/ 1/18 z))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))) #s(literal -1 binary64))
(pow.f64 #s(approx (* (pow (acos (* (* (/ (sqrt t) y) x) (/ 1/18 z))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (/.f64 (sqrt.f64 t) z) y))))) #s(literal -1 binary64))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)) (sqrt.f64 t))))

soundness615.0ms (3.2%)

Memory
5.9MiB live, 444.0MiB allocated
Rules
10 706×lower-fma.f32
10 704×lower-fma.f64
5 832×lower-*.f32
5 822×lower-*.f64
5 752×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031192
053142
1175121
21135120
08725120
034127
047127
1131125
2744123
36527123
08031123
01850
02950
16942
238736
3374236
0821436
0424000
1873872
22553852
39613852
425003852
548643852
668323852
778483852
080113852
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 157 to 102 computations (35% saved)

preprocess71.0ms (0.4%)

Memory
11.3MiB live, 89.0MiB allocated
Remove

(sort y z)

Compiler

Compiled 226 to 208 computations (8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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