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

Time bar (total: 7.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze482.0ms (6.5%)

Memory
-24.1MiB live, 982.0MiB allocated; 187ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
0%0%99.8%0.2%0%0%0%5
0%0%99.8%0.2%0%0%0%6
0%0%99.8%0.2%0%0%0%7
0%0%99.8%0.2%0%0%0%8
4.2%3.1%71.7%0.2%0%25%0%9
4.2%3.1%71.3%0.2%0%25.3%0%10
6.3%4.7%69.2%0.2%0%25.9%0%11
9.2%6.6%65.8%0.2%0%27.4%0%12
Compiler

Compiled 21 to 20 computations (4.8% saved)

sample5.4s (72.5%)

Memory
126.4MiB live, 7 921.0MiB allocated; 1.9s collecting garbage
Samples
2.4s15 467×0invalid
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.7s
ival-mult: 1.1s (41.8% of total)
ival-div: 853.0ms (31.8% of total)
ival-acos: 351.0ms (13.1% of total)
ival-sqrt: 266.0ms (9.9% of total)
exact: 51.0ms (1.9% of total)
ival-true: 20.0ms (0.7% of total)
ival-assert: 11.0ms (0.4% of total)
adjust: 8.0ms (0.3% of total)
Bogosity

explain236.0ms (3.2%)

Memory
44.4MiB live, 422.4MiB allocated; 51ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
180-2(-2.4972322696337607e-121 -5.848973176772815e+196 2.298792140835404e-89 8.346466136709735e-306)(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
120-3(1.5434825008414965e-243 -3.0406382325130067e-15 -2.8265796349513913e+86 8.100293422116041e+301)(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
40-0-(/.f64 x (*.f64 y #s(literal 27 binary64)))
00-0-t
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
00-0-(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
00-0-(*.f64 y #s(literal 27 binary64))
00-0-y
00-0-#s(literal 27 binary64)
00-0-z
00-0-(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
00-0-(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
00-0-#s(literal 2 binary64)
00-0-(*.f64 z #s(literal 2 binary64))
00-0-(sqrt.f64 t)
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))u/n130
(/.f64 x (*.f64 y #s(literal 27 binary64)))underflow45
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))underflow45
*.f64(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))n*u90
/.f64(/.f64 x (*.f64 y #s(literal 27 binary64)))n/o40
(*.f64 y #s(literal 27 binary64))overflow6
/.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))overflow6
(/.f64 x (*.f64 y #s(literal 27 binary64)))overflow2
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))overflow2
/.f64(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))n/o10
(*.f64 z #s(literal 2 binary64))overflow1
Confusion
Predicted +Predicted -
+30
-26227
Precision
0.10344827586206896
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+300
-260227
Precision?
0.10344827586206896
Recall?
1.0
Freqs
test
numberfreq
0227
129
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
70.0ms512×0valid
Compiler

Compiled 203 to 58 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 15.0ms (41.4% of total)
ival-div: 11.0ms (30.3% of total)
ival-acos: 5.0ms (13.8% of total)
ival-sqrt: 4.0ms (11% of total)
exact: 1.0ms (2.8% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess202.0ms (2.7%)

Memory
-8.8MiB live, 270.8MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
092263
1287227
21042197
33987197
47017197
01817
02917
15015
213713
349413
4214213
5517613
0821413
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 1/3 binary64))
Symmetry

(sort y z)

Compiler

Compiled 19 to 18 computations (5.3% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(*.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))))
Compiler

Compiled 19 to 18 computations (5.3% saved)

series134.0ms (1.8%)

Memory
12.9MiB live, 163.8MiB allocated; 27ms collecting garbage
Counts
18 → 17
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
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (* 3 (/ x (* y 27))) #s(hole binary64 (* 1/9 (/ x y))))
#s(approx (/ x (* y 27)) #s(hole binary64 (* 1/27 (/ x y))))
#s(approx x #s(hole binary64 x))
#s(approx (* y 27) #s(hole binary64 (* 27 y)))
#s(approx y #s(hole binary64 y))
#s(approx (* z 2) #s(hole binary64 (* 2 z)))
#s(approx z #s(hole binary64 z))
#s(approx (sqrt t) #s(hole binary64 (sqrt t)))
#s(approx t #s(hole binary64 t))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2)))))
Calls

12 calls:

TimeVariablePointExpression
73.0ms
z
@inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (/ x (* y 27)) x (* y 27) y 27 (* z 2) z 2 (sqrt t) t)
33.0ms
y
@0
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (/ x (* y 27)) x (* y 27) y 27 (* z 2) z 2 (sqrt t) t)
4.0ms
t
@0
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (/ x (* y 27)) x (* y 27) y 27 (* z 2) z 2 (sqrt t) t)
4.0ms
x
@inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (/ x (* y 27)) x (* y 27) y 27 (* z 2) z 2 (sqrt t) t)
3.0ms
x
@0
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (/ x (* y 27)) x (* y 27) y 27 (* z 2) z 2 (sqrt t) t)

simplify154.0ms (2.1%)

Memory
0.5MiB live, 145.3MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064255
1131231
2379215
01437215
Stop Event
iter limit
iter limit
iter limit
unsound
Counts
17 → 17
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (* 3 (/ x (* y 27))) #s(hole binary64 (* 1/9 (/ x y))))
#s(approx (/ x (* y 27)) #s(hole binary64 (* 1/27 (/ x y))))
#s(approx x #s(hole binary64 x))
#s(approx (* y 27) #s(hole binary64 (* 27 y)))
#s(approx y #s(hole binary64 y))
#s(approx (* z 2) #s(hole binary64 (* 2 z)))
#s(approx z #s(hole binary64 z))
#s(approx (sqrt t) #s(hole binary64 (sqrt t)))
#s(approx t #s(hole binary64 t))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2)))))
Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 1/3 binary64)))
#s(approx (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y)))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y)))
#s(approx (* 3 (/ x (* y 27))) #s(hole binary64 (* 1/9 (/ x y))))
#s(approx (* 3 (/ x (* y 27))) (*.f64 (/.f64 x y) #s(literal 1/9 binary64)))
#s(approx (/ x (* y 27)) #s(hole binary64 (* 1/27 (/ x y))))
#s(approx (/ x (* y 27)) (*.f64 #s(literal 1/27 binary64) (/.f64 x y)))
#s(approx x #s(hole binary64 x))
#s(approx x x)
#s(approx (* y 27) #s(hole binary64 (* 27 y)))
#s(approx (* y 27) (*.f64 #s(literal 27 binary64) y))
#s(approx y #s(hole binary64 y))
#s(approx y y)
#s(approx (* z 2) #s(hole binary64 (* 2 z)))
#s(approx (* z 2) (*.f64 #s(literal 2 binary64) z))
#s(approx z #s(hole binary64 z))
#s(approx z z)
#s(approx (sqrt t) #s(hole binary64 (sqrt t)))
#s(approx (sqrt t) (sqrt.f64 t))
#s(approx t #s(hole binary64 t))
#s(approx t t)
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))) #s(literal 1/3 binary64)))
#s(approx (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y)))
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2)))))
#s(approx (sqrt t) (sqrt.f64 t))

rewrite101.0ms (1.4%)

Memory
-28.4MiB live, 65.2MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01886
02986
16376
025676
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
18 → 83
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 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64))))
(*.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 3 binary64) z)) (/.f64 (/.f64 x y) #s(literal 54 binary64)))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) (/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) z))
(*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 t) z))
(*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z) (/.f64 (sqrt.f64 t) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 3 binary64) z) (*.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) (sqrt.f64 t)))
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)) (sqrt.f64 t))
(*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) (*.f64 #s(literal 2 binary64) z)))
(*.f64 #s(literal 3 binary64) (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) z) (sqrt.f64 t)))
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) #s(literal 2 binary64)) z)
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) z) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z) (sqrt.f64 t)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) (sqrt.f64 t)) (*.f64 #s(literal -2 binary64) z))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z)) #s(literal 2 binary64))
(/.f64 (*.f64 (sqrt.f64 t) (neg.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)))) (*.f64 #s(literal -2 binary64) z))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/9 binary64) (/.f64 x y)))) (*.f64 #s(literal -2 binary64) z))
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) (*.f64 #s(literal 2 binary64) z))
(*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64))
(*.f64 #s(literal 3/2 binary64) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z))
(*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) z) #s(literal 3 binary64))
(*.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) (/.f64 #s(literal 3 binary64) z))
(*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x y) #s(literal 54 binary64)))
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) z)))
(*.f64 #s(literal 3 binary64) (/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) z))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) #s(literal 54 binary64))) z)
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 x (*.f64 #s(literal 27 binary64) y))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) #s(literal 2 binary64)) z)
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z)) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)))) (neg.f64 (*.f64 #s(literal -2 binary64) z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z) #s(literal 2 binary64))
(/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) (*.f64 #s(literal -2 binary64) z))
(/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (*.f64 #s(literal 2 binary64) z))
(neg.f64 (/.f64 (neg.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) (*.f64 #s(literal 2 binary64) z)))
(neg.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (*.f64 #s(literal -2 binary64) z)))
(*.f64 #s(literal 1/9 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 x #s(literal 27 binary64)))
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y)))
(/.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) y)
(/.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 27 binary64))
(/.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 27 binary64))
(/.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 #s(literal -27 binary64) y))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x y)) #s(literal 27 binary64))
(/.f64 (*.f64 #s(literal 3 binary64) (neg.f64 x)) (*.f64 #s(literal -27 binary64) y))
(/.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -27 binary64) y))
(/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 27 binary64) y))
(/.f64 (/.f64 x #s(literal 27 binary64)) y)
(/.f64 (neg.f64 (/.f64 x y)) #s(literal -27 binary64))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 #s(literal -27 binary64) y)))
(/.f64 (/.f64 x y) #s(literal 27 binary64))
(/.f64 (neg.f64 x) (*.f64 #s(literal -27 binary64) y))
(/.f64 x (*.f64 #s(literal 27 binary64) y))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 #s(literal 27 binary64) y)))
(neg.f64 (/.f64 x (*.f64 #s(literal -27 binary64) y)))
x
(*.f64 #s(literal 27 binary64) y)
(*.f64 y #s(literal 27 binary64))
y
#s(literal 27 binary64)
(*.f64 #s(literal 2 binary64) z)
(*.f64 z #s(literal 2 binary64))
(fma.f64 z #s(literal 1 binary64) (*.f64 z #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) z (*.f64 #s(literal 1 binary64) z))
(+.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 1 binary64) z))
(+.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 z #s(literal 1 binary64)))
(+.f64 z z)
z
#s(literal 2 binary64)
(*.f64 (pow.f64 t #s(literal 1/4 binary64)) (pow.f64 t #s(literal 1/4 binary64)))
(pow.f64 t #s(literal 1/2 binary64))
(sqrt.f64 t)
(exp.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)))
t

eval11.0ms (0.2%)

Memory
25.9MiB live, 25.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 048 to 466 computations (77.2% saved)

prune34.0ms (0.5%)

Memory
-38.1MiB live, 8.8MiB allocated; 1ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New95499
Fresh000
Picked101
Done000
Total964100
Accuracy
98.5%
Counts
100 → 4
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 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal 2 binary64) z))) (sqrt.f64 t))))
98.0%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64))
97.3%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 1/3 binary64)))
97.4%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))) #s(literal 1/3 binary64)))
Compiler

Compiled 100 to 89 computations (11% saved)

series50.0ms (0.7%)

Memory
27.6MiB live, 122.2MiB allocated; 8ms collecting garbage
Counts
42 → 48
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t)))
(*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))
(*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y)))
#s(literal -1/18 binary64)
(/.f64 x (*.f64 z y))
x
(*.f64 z y)
z
y
(sqrt.f64 t)
t
#s(literal 1/3 binary64)
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y)))
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))
#s(literal 1/18 binary64)
(/.f64 (sqrt.f64 t) z)
(/.f64 x y)
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))
(*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64))
(/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z)
(/.f64 x (*.f64 #s(literal 27 binary64) y))
(*.f64 #s(literal 27 binary64) y)
#s(literal 27 binary64)
#s(literal 3/2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal 2 binary64) z))) (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 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal 2 binary64) z))) (sqrt.f64 t)))
(*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal 2 binary64) z))) (sqrt.f64 t))
(/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal 2 binary64) z)))
(*.f64 x #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal 2 binary64) z))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (* (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) 1/3) #s(hole binary64 (* 1/3 (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) #s(hole binary64 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (* -1/18 (/ x (* z y))) (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (* -1/18 (/ x (* z y))) #s(hole binary64 (* -1/18 (/ x (* y z)))))
#s(approx (/ x (* z y)) #s(hole binary64 (/ x (* y z))))
#s(approx x #s(hole binary64 x))
#s(approx (* (acos (* (* 1/18 (/ (sqrt t) z)) (/ x y))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (* 1/18 (/ (sqrt t) z)) (/ x y))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (* 1/18 (/ (sqrt t) z)) (/ x y)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (* (/ (/ x (* 27 y)) z) 3/2) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (/ (/ x (* 27 y)) z) #s(hole binary64 (* 1/27 (/ x (* y z)))))
#s(approx (/ x (* 27 y)) #s(hole binary64 (* 1/27 (/ x y))))
#s(approx (* (/ 1 3) (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (/ (* x 3) (* (* 27 y) (* 2 z))) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (* x 3) #s(hole binary64 (* 3 x)))
#s(approx (* z y) #s(hole binary64 (* y z)))
#s(approx y #s(hole binary64 y))
#s(approx (* 27 y) #s(hole binary64 (* 27 y)))
#s(approx (* (* 27 y) (* 2 z)) #s(hole binary64 (* 54 (* y z))))
#s(approx z #s(hole binary64 z))
#s(approx (* 1/18 (/ (sqrt t) z)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ 1 z)))))
#s(approx (/ (sqrt t) z) #s(hole binary64 (* (sqrt t) (/ 1 z))))
#s(approx (* 2 z) #s(hole binary64 (* 2 z)))
#s(approx (sqrt t) #s(hole binary64 (sqrt t)))
#s(approx t #s(hole binary64 t))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (* (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) 1/3) #s(hole binary64 (* 1/3 (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) #s(hole binary64 (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (* -1/18 (/ x (* z y))) (sqrt t)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2)))))
#s(approx (* (acos (* (* 1/18 (/ (sqrt t) z)) (/ x y))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (* (* 1/18 (/ (sqrt t) z)) (/ x y))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (* 1/18 (/ (sqrt t) z)) (/ x y)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (* 1/18 (/ (sqrt t) z)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (pow (sqrt -1) 2) z)))))
#s(approx (/ (sqrt t) z) #s(hole binary64 (* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) z)))))
#s(approx (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (* (/ 1 3) (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
Calls

12 calls:

TimeVariablePointExpression
8.0ms
y
@inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) 1/3) (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) (* (* -1/18 (/ x (* z y))) (sqrt t)) (* -1/18 (/ x (* z y))) -1/18 (/ x (* z y)) x (* z y) z y (sqrt t) t 1/3 (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (/ (sqrt t) z)) (/ x y))) 1/3) (acos (* (* 1/18 (/ (sqrt t) z)) (/ x y))) (* (* 1/18 (/ (sqrt t) z)) (/ x y)) (* 1/18 (/ (sqrt t) z)) 1/18 (/ (sqrt t) z) (/ x y) (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) (* (/ (/ x (* 27 y)) z) 3/2) (/ (/ x (* 27 y)) z) (/ x (* 27 y)) (* 27 y) 27 3/2 (* (/ 1 3) (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t))) (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)) (/ (* x 3) (* (* 27 y) (* 2 z))) (* x 3) (* (* 27 y) (* 2 z)) (* 2 z) 2)
4.0ms
y
@-inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) 1/3) (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) (* (* -1/18 (/ x (* z y))) (sqrt t)) (* -1/18 (/ x (* z y))) -1/18 (/ x (* z y)) x (* z y) z y (sqrt t) t 1/3 (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (/ (sqrt t) z)) (/ x y))) 1/3) (acos (* (* 1/18 (/ (sqrt t) z)) (/ x y))) (* (* 1/18 (/ (sqrt t) z)) (/ x y)) (* 1/18 (/ (sqrt t) z)) 1/18 (/ (sqrt t) z) (/ x y) (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) (* (/ (/ x (* 27 y)) z) 3/2) (/ (/ x (* 27 y)) z) (/ x (* 27 y)) (* 27 y) 27 3/2 (* (/ 1 3) (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t))) (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)) (/ (* x 3) (* (* 27 y) (* 2 z))) (* x 3) (* (* 27 y) (* 2 z)) (* 2 z) 2)
4.0ms
x
@-inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) 1/3) (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) (* (* -1/18 (/ x (* z y))) (sqrt t)) (* -1/18 (/ x (* z y))) -1/18 (/ x (* z y)) x (* z y) z y (sqrt t) t 1/3 (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (/ (sqrt t) z)) (/ x y))) 1/3) (acos (* (* 1/18 (/ (sqrt t) z)) (/ x y))) (* (* 1/18 (/ (sqrt t) z)) (/ x y)) (* 1/18 (/ (sqrt t) z)) 1/18 (/ (sqrt t) z) (/ x y) (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) (* (/ (/ x (* 27 y)) z) 3/2) (/ (/ x (* 27 y)) z) (/ x (* 27 y)) (* 27 y) 27 3/2 (* (/ 1 3) (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t))) (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)) (/ (* x 3) (* (* 27 y) (* 2 z))) (* x 3) (* (* 27 y) (* 2 z)) (* 2 z) 2)
4.0ms
t
@0
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) 1/3) (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) (* (* -1/18 (/ x (* z y))) (sqrt t)) (* -1/18 (/ x (* z y))) -1/18 (/ x (* z y)) x (* z y) z y (sqrt t) t 1/3 (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (/ (sqrt t) z)) (/ x y))) 1/3) (acos (* (* 1/18 (/ (sqrt t) z)) (/ x y))) (* (* 1/18 (/ (sqrt t) z)) (/ x y)) (* 1/18 (/ (sqrt t) z)) 1/18 (/ (sqrt t) z) (/ x y) (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) (* (/ (/ x (* 27 y)) z) 3/2) (/ (/ x (* 27 y)) z) (/ x (* 27 y)) (* 27 y) 27 3/2 (* (/ 1 3) (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t))) (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)) (/ (* x 3) (* (* 27 y) (* 2 z))) (* x 3) (* (* 27 y) (* 2 z)) (* 2 z) 2)
4.0ms
z
@-inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) 1/3) (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) (* (* -1/18 (/ x (* z y))) (sqrt t)) (* -1/18 (/ x (* z y))) -1/18 (/ x (* z y)) x (* z y) z y (sqrt t) t 1/3 (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (/ (sqrt t) z)) (/ x y))) 1/3) (acos (* (* 1/18 (/ (sqrt t) z)) (/ x y))) (* (* 1/18 (/ (sqrt t) z)) (/ x y)) (* 1/18 (/ (sqrt t) z)) 1/18 (/ (sqrt t) z) (/ x y) (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) (* (/ (/ x (* 27 y)) z) 3/2) (/ (/ x (* 27 y)) z) (/ x (* 27 y)) (* 27 y) 27 3/2 (* (/ 1 3) (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t))) (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)) (/ (* x 3) (* (* 27 y) (* 2 z))) (* x 3) (* (* 27 y) (* 2 z)) (* 2 z) 2)

simplify73.0ms (1%)

Memory
17.6MiB live, 109.2MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0134907
1285845
2761816
03476816
Stop Event
iter limit
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (* (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) 1/3) #s(hole binary64 (* 1/3 (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) #s(hole binary64 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (* -1/18 (/ x (* z y))) (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (* -1/18 (/ x (* z y))) #s(hole binary64 (* -1/18 (/ x (* y z)))))
#s(approx (/ x (* z y)) #s(hole binary64 (/ x (* y z))))
#s(approx x #s(hole binary64 x))
#s(approx (* (acos (* (* 1/18 (/ (sqrt t) z)) (/ x y))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (* 1/18 (/ (sqrt t) z)) (/ x y))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (* 1/18 (/ (sqrt t) z)) (/ x y)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (* (/ (/ x (* 27 y)) z) 3/2) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (/ (/ x (* 27 y)) z) #s(hole binary64 (* 1/27 (/ x (* y z)))))
#s(approx (/ x (* 27 y)) #s(hole binary64 (* 1/27 (/ x y))))
#s(approx (* (/ 1 3) (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (/ (* x 3) (* (* 27 y) (* 2 z))) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (* x 3) #s(hole binary64 (* 3 x)))
#s(approx (* z y) #s(hole binary64 (* y z)))
#s(approx y #s(hole binary64 y))
#s(approx (* 27 y) #s(hole binary64 (* 27 y)))
#s(approx (* (* 27 y) (* 2 z)) #s(hole binary64 (* 54 (* y z))))
#s(approx z #s(hole binary64 z))
#s(approx (* 1/18 (/ (sqrt t) z)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ 1 z)))))
#s(approx (/ (sqrt t) z) #s(hole binary64 (* (sqrt t) (/ 1 z))))
#s(approx (* 2 z) #s(hole binary64 (* 2 z)))
#s(approx (sqrt t) #s(hole binary64 (sqrt t)))
#s(approx t #s(hole binary64 t))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (* (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) 1/3) #s(hole binary64 (* 1/3 (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) #s(hole binary64 (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (* -1/18 (/ x (* z y))) (sqrt t)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2)))))
#s(approx (* (acos (* (* 1/18 (/ (sqrt t) z)) (/ x y))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (* (* 1/18 (/ (sqrt t) z)) (/ x y))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (* 1/18 (/ (sqrt t) z)) (/ x y)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (* 1/18 (/ (sqrt t) z)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (pow (sqrt -1) 2) z)))))
#s(approx (/ (sqrt t) z) #s(hole binary64 (* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) z)))))
#s(approx (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (* (/ 1 3) (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) (/.f64 x z))) #s(literal 1/3 binary64)))
#s(approx (* (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) 1/3) #s(hole binary64 (* 1/3 (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (* (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) y)) (/.f64 x z))) #s(literal 1/3 binary64)))
#s(approx (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) #s(hole binary64 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) y)) (/.f64 x z))))
#s(approx (* (* -1/18 (/ x (* z y))) (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (* (* -1/18 (/ x (* z y))) (sqrt t)) (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) y)) (/.f64 x z)))
#s(approx (* -1/18 (/ x (* z y))) #s(hole binary64 (* -1/18 (/ x (* y z)))))
#s(approx (* -1/18 (/ x (* z y))) (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))))
#s(approx (/ x (* z y)) #s(hole binary64 (/ x (* y z))))
#s(approx (/ x (* z y)) (/.f64 x (*.f64 z y)))
#s(approx x #s(hole binary64 x))
#s(approx x x)
#s(approx (* (acos (* (* 1/18 (/ (sqrt t) z)) (/ x y))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) (/.f64 x z))) #s(literal 1/3 binary64)))
#s(approx (acos (* (* 1/18 (/ (sqrt t) z)) (/ x y))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) (/.f64 x z))))
#s(approx (* (* 1/18 (/ (sqrt t) z)) (/ x y)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) (/.f64 x z)))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (/ x y) (/.f64 x y))
#s(approx (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) (/.f64 x z))) #s(literal 1/3 binary64)))
#s(approx (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) (/.f64 x z))))
#s(approx (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) (/.f64 x z)))
#s(approx (* (/ (/ x (* 27 y)) z) 3/2) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))
#s(approx (/ (/ x (* 27 y)) z) #s(hole binary64 (* 1/27 (/ x (* y z)))))
#s(approx (/ (/ x (* 27 y)) z) (*.f64 #s(literal 1/27 binary64) (/.f64 x (*.f64 z y))))
#s(approx (/ x (* 27 y)) #s(hole binary64 (* 1/27 (/ x y))))
#s(approx (/ x (* 27 y)) (*.f64 #s(literal 1/27 binary64) (/.f64 x y)))
#s(approx (* (/ 1 3) (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) (/.f64 x z))) #s(literal 1/3 binary64)))
#s(approx (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) (/.f64 x z))))
#s(approx (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) (/.f64 x z)))
#s(approx (/ (* x 3) (* (* 27 y) (* 2 z))) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))
#s(approx (* x 3) #s(hole binary64 (* 3 x)))
#s(approx (* x 3) (*.f64 x #s(literal 3 binary64)))
#s(approx (* z y) #s(hole binary64 (* y z)))
#s(approx (* z y) (*.f64 z y))
#s(approx y #s(hole binary64 y))
#s(approx y y)
#s(approx (* 27 y) #s(hole binary64 (* 27 y)))
#s(approx (* 27 y) (*.f64 #s(literal 27 binary64) y))
#s(approx (* (* 27 y) (* 2 z)) #s(hole binary64 (* 54 (* y z))))
#s(approx (* (* 27 y) (* 2 z)) (*.f64 #s(literal 54 binary64) (*.f64 z y)))
#s(approx z #s(hole binary64 z))
#s(approx z z)
#s(approx (* 1/18 (/ (sqrt t) z)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ 1 z)))))
#s(approx (* 1/18 (/ (sqrt t) z)) (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)))
#s(approx (/ (sqrt t) z) #s(hole binary64 (* (sqrt t) (/ 1 z))))
#s(approx (/ (sqrt t) z) (/.f64 (sqrt.f64 t) z))
#s(approx (* 2 z) #s(hole binary64 (* 2 z)))
#s(approx (* 2 z) (*.f64 #s(literal 2 binary64) z))
#s(approx (sqrt t) #s(hole binary64 (sqrt t)))
#s(approx (sqrt t) (sqrt.f64 t))
#s(approx t #s(hole binary64 t))
#s(approx t t)
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) y)) (/.f64 x z))) #s(literal 1/3 binary64)))
#s(approx (* (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) 1/3) #s(hole binary64 (* 1/3 (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (* (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) (/.f64 x z))) #s(literal 1/3 binary64)))
#s(approx (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) #s(hole binary64 (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) (/.f64 x z))))
#s(approx (* (* -1/18 (/ x (* z y))) (sqrt t)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (* (* -1/18 (/ x (* z y))) (sqrt t)) (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) y)) (/.f64 x z)))
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2)))))
#s(approx (sqrt t) (sqrt.f64 t))
#s(approx (* (acos (* (* 1/18 (/ (sqrt t) z)) (/ x y))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) y)) (/.f64 x z))) #s(literal 1/3 binary64)))
#s(approx (acos (* (* 1/18 (/ (sqrt t) z)) (/ x y))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) y)) (/.f64 x z))))
#s(approx (* (* 1/18 (/ (sqrt t) z)) (/ x y)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) (/.f64 x z)))
#s(approx (* 1/18 (/ (sqrt t) z)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (pow (sqrt -1) 2) z)))))
#s(approx (* 1/18 (/ (sqrt t) z)) (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)))
#s(approx (/ (sqrt t) z) #s(hole binary64 (* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) z)))))
#s(approx (/ (sqrt t) z) (/.f64 (sqrt.f64 t) z))
#s(approx (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) y)) (/.f64 x z))) #s(literal 1/3 binary64)))
#s(approx (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) y)) (/.f64 x z))))
#s(approx (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) (/.f64 x z)))
#s(approx (* (/ 1 3) (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) y)) (/.f64 x z))) #s(literal 1/3 binary64)))
#s(approx (acos (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) y)) (/.f64 x z))))
#s(approx (* (/ (* x 3) (* (* 27 y) (* 2 z))) (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) (/.f64 x z)))

rewrite68.0ms (0.9%)

Memory
-9.6MiB live, 85.0MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052307
081299
1187293
0705293
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
42 → 317
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t)))
(*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))
(*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y)))
#s(literal -1/18 binary64)
(/.f64 x (*.f64 z y))
x
(*.f64 z y)
z
y
(sqrt.f64 t)
t
#s(literal 1/3 binary64)
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y)))
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))
#s(literal 1/18 binary64)
(/.f64 (sqrt.f64 t) z)
(/.f64 x y)
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))
(*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64))
(/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z)
(/.f64 x (*.f64 #s(literal 27 binary64) y))
(*.f64 #s(literal 27 binary64) y)
#s(literal 27 binary64)
#s(literal 3/2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal 2 binary64) z))) (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 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal 2 binary64) z))) (sqrt.f64 t)))
(*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal 2 binary64) z))) (sqrt.f64 t))
(/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal 2 binary64) z)))
(*.f64 x #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal 2 binary64) z))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y))))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))
(*.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))) #s(literal -1/18 binary64))
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal -1/18 binary64)))
(*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal -1/18 binary64)) (sqrt.f64 t))
(*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)))
(*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) x) (sqrt.f64 t)) (*.f64 z y))
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) x)) (*.f64 z y))
(*.f64 (/.f64 #s(literal -1/18 binary64) z) (/.f64 x y))
(*.f64 (/.f64 #s(literal -1/18 binary64) y) (/.f64 x z))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal -1/18 binary64))
(*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y)))
(/.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) z) y)
(/.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) z)
(/.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) y)
(/.f64 (*.f64 (neg.f64 x) #s(literal -1/18 binary64)) (*.f64 (neg.f64 z) y))
(/.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x z)) y)
(/.f64 (*.f64 #s(literal -1/18 binary64) (neg.f64 x)) (*.f64 (neg.f64 z) y))
(/.f64 (neg.f64 (*.f64 #s(literal -1/18 binary64) x)) (*.f64 (neg.f64 z) y))
(/.f64 (*.f64 #s(literal -1/18 binary64) x) (*.f64 z y))
#s(literal -1/18 binary64)
(/.f64 (neg.f64 (/.f64 x z)) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 (neg.f64 z) y)))
(/.f64 (/.f64 x z) y)
(/.f64 (neg.f64 x) (*.f64 (neg.f64 z) y))
(/.f64 (/.f64 x y) z)
(/.f64 x (*.f64 z y))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 z y)))
(neg.f64 (/.f64 x (*.f64 (neg.f64 z) y)))
x
(*.f64 z y)
(*.f64 y z)
z
y
(*.f64 (pow.f64 t #s(literal 1/4 binary64)) (pow.f64 t #s(literal 1/4 binary64)))
(pow.f64 t #s(literal 1/2 binary64))
(sqrt.f64 t)
(exp.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)))
t
#s(literal 1/3 binary64)
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))))
(acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z)))
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))
(*.f64 (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)) #s(literal 1/18 binary64))
(*.f64 (/.f64 x y) (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))
(*.f64 (/.f64 (sqrt.f64 t) z) (*.f64 #s(literal 1/18 binary64) (/.f64 x y)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)))
(/.f64 (*.f64 (neg.f64 x) (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64))) (neg.f64 y))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y)) z)
(/.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)
(/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (neg.f64 x)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 (neg.f64 z) y))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (neg.f64 x)) (*.f64 (neg.f64 z) y))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))
(/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) x) y)
(*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 t)) #s(literal 1/18 binary64)) (neg.f64 z))
(/.f64 (*.f64 #s(literal 1/18 binary64) (neg.f64 (sqrt.f64 t))) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (neg.f64 z))
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)
#s(literal 1/18 binary64)
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 t))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (sqrt.f64 t)) (neg.f64 z))
(/.f64 (sqrt.f64 t) z)
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 t)) z))
(neg.f64 (/.f64 (sqrt.f64 t) (neg.f64 z)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))
(neg.f64 (/.f64 x (neg.f64 y)))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) z))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) z))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) z))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) z))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) z)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) z))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) z))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) z)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) z))))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) z)))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) z))
(*.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 3 binary64) z)) (/.f64 (/.f64 x y) #s(literal 54 binary64)))
(*.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) #s(literal 27 binary64))) (/.f64 #s(literal 3/2 binary64) z))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) (/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) z))
(*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 t) z))
(*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 y #s(literal 54 binary64))) (/.f64 (sqrt.f64 t) z))
(*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) z)) (/.f64 (sqrt.f64 t) (*.f64 #s(literal 27 binary64) y)))
(*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (/.f64 (sqrt.f64 t) (*.f64 (*.f64 #s(literal 2 binary64) z) y)))
(*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 #s(literal 2 binary64) z) y)))
(*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z) (/.f64 (sqrt.f64 t) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) z) (sqrt.f64 t)) #s(literal 3/2 binary64))
(*.f64 (/.f64 #s(literal 3 binary64) z) (*.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) (sqrt.f64 t)))
(*.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) z)) (sqrt.f64 t))
(*.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 (sqrt.f64 t) (*.f64 (*.f64 y #s(literal 54 binary64)) z)))
(*.f64 #s(literal 3/2 binary64) (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) z) (sqrt.f64 t)))
(*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) z) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 t)))
(*.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) (*.f64 (/.f64 #s(literal 3/2 binary64) z) (sqrt.f64 t)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 3/2 binary64) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) z)))
(*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) (*.f64 #s(literal 2 binary64) z)))
(*.f64 x (*.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 #s(literal 2 binary64) z) y)) (sqrt.f64 t)))
(*.f64 #s(literal 3 binary64) (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) z) (sqrt.f64 t)))
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) #s(literal 2 binary64)) z)
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) z) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (sqrt.f64 t)) (*.f64 y #s(literal 54 binary64))) z)
(/.f64 (/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (sqrt.f64 t)) (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 27 binary64) y))
(/.f64 (/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (sqrt.f64 t)) #s(literal 27 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) z) y))
(/.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (/.f64 x y) #s(literal 27 binary64))) (sqrt.f64 t)) z)
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z) (sqrt.f64 t)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) (sqrt.f64 t)) (*.f64 #s(literal -2 binary64) z))
(/.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) (sqrt.f64 t)) (*.f64 (*.f64 y #s(literal 54 binary64)) (neg.f64 z)))
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 3/2 binary64) (/.f64 (/.f64 x y) #s(literal 27 binary64)))) z)
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z)) #s(literal 2 binary64))
(/.f64 (*.f64 (sqrt.f64 t) (neg.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)))) (*.f64 #s(literal -2 binary64) z))
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -3 binary64) x)) (*.f64 (*.f64 y #s(literal 54 binary64)) (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/9 binary64) (/.f64 x y)))) (*.f64 #s(literal -2 binary64) z))
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (sqrt.f64 t))) (*.f64 (*.f64 y #s(literal 54 binary64)) (neg.f64 z)))
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) (*.f64 #s(literal 2 binary64) z))
(/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (sqrt.f64 t)) (*.f64 (*.f64 y #s(literal 54 binary64)) z))
(*.f64 (/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 54 binary64))) (/.f64 x z))
(*.f64 (/.f64 x (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 3 binary64) (*.f64 #s(literal 27 binary64) y)))
(*.f64 (/.f64 #s(literal 3 binary64) (*.f64 #s(literal 27 binary64) y)) (/.f64 x (*.f64 #s(literal 2 binary64) z)))
(*.f64 #s(literal 1/9 binary64) (/.f64 x (*.f64 (*.f64 #s(literal 2 binary64) z) y)))
(*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) z) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 #s(literal 2 binary64) z) y)) x)
(*.f64 (/.f64 x #s(literal 27 binary64)) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 2 binary64) z) y)))
(*.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) (/.f64 #s(literal 3 binary64) z))
(*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x y) #s(literal 54 binary64)))
(*.f64 (/.f64 #s(literal 3/2 binary64) z) (/.f64 (/.f64 x y) #s(literal 27 binary64)))
(*.f64 #s(literal 3/2 binary64) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) z))
(*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) z) #s(literal 3/2 binary64))
(*.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) (/.f64 #s(literal 3/2 binary64) z))
(*.f64 x (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 #s(literal 2 binary64) z) y)))
(*.f64 #s(literal 3 binary64) (/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) z))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) #s(literal 54 binary64))) z)
(/.f64 (*.f64 (/.f64 x #s(literal 27 binary64)) (/.f64 #s(literal 3/2 binary64) z)) y)
(/.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 3/2 binary64) z)) (*.f64 #s(literal -27 binary64) y))
(/.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 3/2 binary64) z)) #s(literal 27 binary64))
(/.f64 (*.f64 x (/.f64 #s(literal 3/2 binary64) z)) (*.f64 #s(literal 27 binary64) y))
(/.f64 (*.f64 (/.f64 (/.f64 x y) #s(literal -27 binary64)) #s(literal 3/2 binary64)) (neg.f64 z))
(/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z))
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x y) #s(literal 27 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (/.f64 x y) #s(literal -27 binary64))) (neg.f64 z))
(/.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 (*.f64 #s(literal 27 binary64) y) z))
(/.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) #s(literal 2 binary64)) z)
(/.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 y #s(literal 54 binary64))) z)
(/.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 27 binary64) y))
(/.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) z) y))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z)) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)))) (neg.f64 (*.f64 #s(literal -2 binary64) z)))
(/.f64 (neg.f64 (*.f64 #s(literal -3 binary64) x)) (neg.f64 (*.f64 (*.f64 y #s(literal 54 binary64)) (neg.f64 z))))
(/.f64 (neg.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (/.f64 x y) #s(literal 27 binary64)))) (neg.f64 z))
(/.f64 (*.f64 (/.f64 x #s(literal 27 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) z) y))
(/.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 #s(literal 27 binary64) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (/.f64 x y) #s(literal 27 binary64))) z)
(/.f64 (neg.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) (*.f64 #s(literal -2 binary64) z))
(/.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 (*.f64 y #s(literal 54 binary64)) (neg.f64 z)))
(/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 y #s(literal 54 binary64)) z))
(/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (*.f64 #s(literal 2 binary64) z))
(neg.f64 (/.f64 (neg.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) (*.f64 #s(literal 2 binary64) z)))
(neg.f64 (/.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 (*.f64 y #s(literal 54 binary64)) z)))
(neg.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (*.f64 #s(literal -2 binary64) z)))
(neg.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 y #s(literal 54 binary64)) (neg.f64 z))))
(/.f64 (/.f64 x #s(literal 27 binary64)) (*.f64 z y))
(/.f64 (/.f64 (/.f64 x y) #s(literal -27 binary64)) (neg.f64 z))
(/.f64 (neg.f64 x) (*.f64 (*.f64 #s(literal -27 binary64) y) z))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 (*.f64 #s(literal 27 binary64) y) z)))
(/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) (neg.f64 (neg.f64 z)))
(/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) z)
(/.f64 (/.f64 x y) (*.f64 #s(literal 27 binary64) z))
(/.f64 x (*.f64 (*.f64 #s(literal 27 binary64) y) z))
(neg.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal -27 binary64)) z))
(neg.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) (neg.f64 z)))
(/.f64 (neg.f64 (/.f64 x #s(literal 27 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 #s(literal -27 binary64) y)))
(/.f64 (neg.f64 (/.f64 x y)) #s(literal -27 binary64))
(/.f64 (/.f64 x #s(literal 27 binary64)) y)
(/.f64 (neg.f64 x) (*.f64 #s(literal -27 binary64) y))
(/.f64 (/.f64 x y) #s(literal 27 binary64))
(/.f64 x (*.f64 #s(literal 27 binary64) y))
(neg.f64 (/.f64 (/.f64 x y) #s(literal -27 binary64)))
(*.f64 #s(literal 27 binary64) y)
(*.f64 y #s(literal 27 binary64))
#s(literal 27 binary64)
#s(literal 3/2 binary64)
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) z))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) z))))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) z))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) z))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) z)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) z))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) z))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) z)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) z))))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) z)))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) z))
(*.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 3 binary64) z)) (/.f64 (/.f64 x y) #s(literal 54 binary64)))
(*.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) #s(literal 27 binary64))) (/.f64 #s(literal 3/2 binary64) z))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) (/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) z))
(*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 t) z))
(*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 y #s(literal 54 binary64))) (/.f64 (sqrt.f64 t) z))
(*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) z)) (/.f64 (sqrt.f64 t) (*.f64 #s(literal 27 binary64) y)))
(*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (/.f64 (sqrt.f64 t) (*.f64 (*.f64 #s(literal 2 binary64) z) y)))
(*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 #s(literal 2 binary64) z) y)))
(*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z) (/.f64 (sqrt.f64 t) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) z) (sqrt.f64 t)) #s(literal 3/2 binary64))
(*.f64 (/.f64 #s(literal 3 binary64) z) (*.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) (sqrt.f64 t)))
(*.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) z)) (sqrt.f64 t))
(*.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 (sqrt.f64 t) (*.f64 (*.f64 y #s(literal 54 binary64)) z)))
(*.f64 #s(literal 3/2 binary64) (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) z) (sqrt.f64 t)))
(*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) z) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 t)))
(*.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) (*.f64 (/.f64 #s(literal 3/2 binary64) z) (sqrt.f64 t)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 3/2 binary64) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) z)))
(*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) (*.f64 #s(literal 2 binary64) z)))
(*.f64 x (*.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 #s(literal 2 binary64) z) y)) (sqrt.f64 t)))
(*.f64 #s(literal 3 binary64) (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) z) (sqrt.f64 t)))
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) #s(literal 2 binary64)) z)
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) z) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (sqrt.f64 t)) (*.f64 y #s(literal 54 binary64))) z)
(/.f64 (/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (sqrt.f64 t)) (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 27 binary64) y))
(/.f64 (/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (sqrt.f64 t)) #s(literal 27 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) z) y))
(/.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (/.f64 x y) #s(literal 27 binary64))) (sqrt.f64 t)) z)
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z) (sqrt.f64 t)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) (sqrt.f64 t)) (*.f64 #s(literal -2 binary64) z))
(/.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) (sqrt.f64 t)) (*.f64 (*.f64 y #s(literal 54 binary64)) (neg.f64 z)))
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 3/2 binary64) (/.f64 (/.f64 x y) #s(literal 27 binary64)))) z)
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z)) #s(literal 2 binary64))
(/.f64 (*.f64 (sqrt.f64 t) (neg.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)))) (*.f64 #s(literal -2 binary64) z))
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -3 binary64) x)) (*.f64 (*.f64 y #s(literal 54 binary64)) (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/9 binary64) (/.f64 x y)))) (*.f64 #s(literal -2 binary64) z))
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (sqrt.f64 t))) (*.f64 (*.f64 y #s(literal 54 binary64)) (neg.f64 z)))
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) (*.f64 #s(literal 2 binary64) z))
(/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (sqrt.f64 t)) (*.f64 (*.f64 y #s(literal 54 binary64)) z))
(*.f64 (/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 54 binary64))) (/.f64 x z))
(*.f64 (/.f64 x (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 3 binary64) (*.f64 #s(literal 27 binary64) y)))
(*.f64 (/.f64 #s(literal 3 binary64) (*.f64 #s(literal 27 binary64) y)) (/.f64 x (*.f64 #s(literal 2 binary64) z)))
(*.f64 #s(literal 1/9 binary64) (/.f64 x (*.f64 (*.f64 #s(literal 2 binary64) z) y)))
(*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) z) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 #s(literal 2 binary64) z) y)) x)
(*.f64 (/.f64 x #s(literal 27 binary64)) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 2 binary64) z) y)))
(*.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) (/.f64 #s(literal 3 binary64) z))
(*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x y) #s(literal 54 binary64)))
(*.f64 (/.f64 #s(literal 3/2 binary64) z) (/.f64 (/.f64 x y) #s(literal 27 binary64)))
(*.f64 #s(literal 3/2 binary64) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) z))
(*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) z) #s(literal 3/2 binary64))
(*.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) (/.f64 #s(literal 3/2 binary64) z))
(*.f64 x (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 #s(literal 2 binary64) z) y)))
(*.f64 #s(literal 3 binary64) (/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) z))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) #s(literal 54 binary64))) z)
(/.f64 (*.f64 (/.f64 x #s(literal 27 binary64)) (/.f64 #s(literal 3/2 binary64) z)) y)
(/.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 3/2 binary64) z)) (*.f64 #s(literal -27 binary64) y))
(/.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 3/2 binary64) z)) #s(literal 27 binary64))
(/.f64 (*.f64 x (/.f64 #s(literal 3/2 binary64) z)) (*.f64 #s(literal 27 binary64) y))
(/.f64 (*.f64 (/.f64 (/.f64 x y) #s(literal -27 binary64)) #s(literal 3/2 binary64)) (neg.f64 z))
(/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z))
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x y) #s(literal 27 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (/.f64 x y) #s(literal -27 binary64))) (neg.f64 z))
(/.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 (*.f64 #s(literal 27 binary64) y) z))
(/.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) #s(literal 2 binary64)) z)
(/.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 y #s(literal 54 binary64))) z)
(/.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 27 binary64) y))
(/.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) z) y))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z)) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)))) (neg.f64 (*.f64 #s(literal -2 binary64) z)))
(/.f64 (neg.f64 (*.f64 #s(literal -3 binary64) x)) (neg.f64 (*.f64 (*.f64 y #s(literal 54 binary64)) (neg.f64 z))))
(/.f64 (neg.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (/.f64 x y) #s(literal 27 binary64)))) (neg.f64 z))
(/.f64 (*.f64 (/.f64 x #s(literal 27 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) z) y))
(/.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 #s(literal 27 binary64) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (/.f64 x y) #s(literal 27 binary64))) z)
(/.f64 (neg.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) (*.f64 #s(literal -2 binary64) z))
(/.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 (*.f64 y #s(literal 54 binary64)) (neg.f64 z)))
(/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 y #s(literal 54 binary64)) z))
(/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (*.f64 #s(literal 2 binary64) z))
(neg.f64 (/.f64 (neg.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) (*.f64 #s(literal 2 binary64) z)))
(neg.f64 (/.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 (*.f64 y #s(literal 54 binary64)) z)))
(neg.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (*.f64 #s(literal -2 binary64) z)))
(neg.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 y #s(literal 54 binary64)) (neg.f64 z))))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 27 binary64)) y)
(*.f64 (*.f64 (*.f64 #s(literal 27 binary64) y) z) #s(literal 2 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) y) #s(literal 27 binary64))
(*.f64 (*.f64 y #s(literal 54 binary64)) z)
(*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 27 binary64) y))
(*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal 2 binary64) z))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 27 binary64) y) z))
(*.f64 z (*.f64 y #s(literal 54 binary64)))
(*.f64 #s(literal 27 binary64) (*.f64 (*.f64 #s(literal 2 binary64) z) y))
(*.f64 y (*.f64 #s(literal 27 binary64) (*.f64 #s(literal 2 binary64) z)))
(fma.f64 (*.f64 #s(literal 27 binary64) y) z (*.f64 (*.f64 #s(literal 27 binary64) y) z))
(fma.f64 z (*.f64 #s(literal 27 binary64) y) (*.f64 (*.f64 #s(literal 27 binary64) y) z))
(fma.f64 #s(literal 27 binary64) (*.f64 z y) (*.f64 (*.f64 #s(literal 27 binary64) y) z))
(fma.f64 y (*.f64 #s(literal 27 binary64) z) (*.f64 (*.f64 #s(literal 27 binary64) y) z))
(+.f64 (*.f64 (*.f64 #s(literal 27 binary64) y) z) (*.f64 (*.f64 #s(literal 27 binary64) y) z))
(*.f64 #s(literal 2 binary64) z)
(*.f64 z #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 z z) (*.f64 z z)) (-.f64 z z))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 z z) (*.f64 z z))))
(fma.f64 z #s(literal 1 binary64) (*.f64 z #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) z (*.f64 #s(literal 1 binary64) z))
(+.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 1 binary64) z))
(+.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 z #s(literal 1 binary64)))
(+.f64 z z)
#s(literal 2 binary64)

eval37.0ms (0.5%)

Memory
-11.7MiB live, 80.0MiB allocated; 9ms collecting garbage
Compiler

Compiled 7 628 to 1 344 computations (82.4% saved)

prune55.0ms (0.7%)

Memory
14.0MiB live, 109.6MiB allocated; 26ms collecting garbage
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New3001301
Fresh000
Picked314
Done000
Total3032305
Accuracy
98.5%
Counts
305 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))))) #s(literal 1/3 binary64))
97.3%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 1/3 binary64)))
Compiler

Compiled 56 to 48 computations (14.3% saved)

series22.0ms (0.3%)

Memory
-0.8MiB live, 44.8MiB allocated; 8ms collecting garbage
Counts
14 → 16
Calls
Call 1
Inputs
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))))
(*.f64 (sqrt.f64 t) #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))))
(sqrt.f64 t)
t
#s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(/.f64 x (*.f64 z y))
x
(*.f64 z y)
z
y
#s(literal 1/18 binary64)
#s(literal 1/3 binary64)
Outputs
#s(approx (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (* (/ (/ x (* 27 y)) z) 3/2) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (* (/ x (* z y)) 1/18) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (/ x (* z y)) #s(hole binary64 (/ x (* y z))))
#s(approx x #s(hole binary64 x))
#s(approx (* z y) #s(hole binary64 (* y z)))
#s(approx y #s(hole binary64 y))
#s(approx z #s(hole binary64 z))
#s(approx (sqrt t) #s(hole binary64 (sqrt t)))
#s(approx t #s(hole binary64 t))
#s(approx (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2)))))
Calls

12 calls:

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

simplify49.0ms (0.7%)

Memory
-19.5MiB live, 79.4MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056238
1113230
2309212
01059212
Stop Event
iter limit
iter limit
iter limit
unsound
Counts
16 → 16
Calls
Call 1
Inputs
#s(approx (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (* (/ (/ x (* 27 y)) z) 3/2) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (* (/ x (* z y)) 1/18) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (/ x (* z y)) #s(hole binary64 (/ x (* y z))))
#s(approx x #s(hole binary64 x))
#s(approx (* z y) #s(hole binary64 (* y z)))
#s(approx y #s(hole binary64 y))
#s(approx z #s(hole binary64 z))
#s(approx (sqrt t) #s(hole binary64 (sqrt t)))
#s(approx t #s(hole binary64 t))
#s(approx (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2)))))
Outputs
#s(approx (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y)))))
#s(approx (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))))
#s(approx (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y)))
#s(approx (* (/ (/ x (* 27 y)) z) 3/2) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (* (/ x (* z y)) 1/18) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))
#s(approx (* (/ x (* z y)) 1/18) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (* (/ x (* z y)) 1/18) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))
#s(approx (/ x (* z y)) #s(hole binary64 (/ x (* y z))))
#s(approx (/ x (* z y)) (/.f64 x (*.f64 z y)))
#s(approx x #s(hole binary64 x))
#s(approx x x)
#s(approx (* z y) #s(hole binary64 (* y z)))
#s(approx (* z y) (*.f64 z y))
#s(approx y #s(hole binary64 y))
#s(approx y y)
#s(approx z #s(hole binary64 z))
#s(approx z z)
#s(approx (sqrt t) #s(hole binary64 (sqrt t)))
#s(approx (sqrt t) (sqrt.f64 t))
#s(approx t #s(hole binary64 t))
#s(approx t t)
#s(approx (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))) #s(literal 1/3 binary64)))
#s(approx (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))))
#s(approx (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y)))
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2)))))
#s(approx (sqrt t) (sqrt.f64 t))

rewrite45.0ms (0.6%)

Memory
32.5MiB live, 79.0MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020104
027104
158104
219396
081396
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
14 → 111
Calls
Call 1
Inputs
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))))
(*.f64 (sqrt.f64 t) #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))))
(sqrt.f64 t)
t
#s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(/.f64 x (*.f64 z y))
x
(*.f64 z y)
z
y
#s(literal 1/18 binary64)
#s(literal 1/3 binary64)
Outputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))))
(*.f64 (acos.f64 (*.f64 #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))) #s(literal 1/3 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (+.f64 (asin.f64 (*.f64 #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (*.f64 #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))) (+.f64 (asin.f64 (*.f64 #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))) #s(literal 2 binary64)))) (+.f64 (asin.f64 (*.f64 #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))) #s(literal 3 binary64)))) (fma.f64 (asin.f64 (*.f64 #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))) (+.f64 (asin.f64 (*.f64 #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (asin.f64 (*.f64 #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (asin.f64 (*.f64 #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))) (+.f64 (asin.f64 (*.f64 #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))) #s(literal 2 binary64))) (+.f64 (asin.f64 (*.f64 #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))) #s(literal 3 binary64))) (fma.f64 (asin.f64 (*.f64 #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))) (+.f64 (asin.f64 (*.f64 #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (*.f64 #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (*.f64 #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))) #s(literal 2 binary64)) (+.f64 (asin.f64 (*.f64 #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 (*.f64 #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))) (+.f64 (asin.f64 (*.f64 #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (*.f64 #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))) #s(literal 3 binary64)) (fma.f64 (asin.f64 (*.f64 #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))) (+.f64 (asin.f64 (*.f64 #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (*.f64 #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))))
(acos.f64 (*.f64 #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t)))
(*.f64 (*.f64 #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (pow.f64 t #s(literal 1/4 binary64))) (pow.f64 t #s(literal 1/4 binary64)))
(*.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x))))
(*.f64 #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)))
(*.f64 (neg.f64 (pow.f64 t #s(literal 1/4 binary64))) (neg.f64 (pow.f64 t #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 t #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 t #s(literal 1/4 binary64))))
(*.f64 (pow.f64 t #s(literal 1/4 binary64)) (pow.f64 t #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 t)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 t t) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 t #s(literal 1/2 binary64))
(sqrt.f64 t)
(exp.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64))))
t
#s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x))
(*.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 y #s(literal 27 binary64))) (/.f64 x z))
(*.f64 (/.f64 #s(literal 3/2 binary64) y) (/.f64 x (*.f64 z #s(literal 27 binary64))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal 1/18 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1/18 binary64) (neg.f64 z)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)
(*.f64 (/.f64 #s(literal 3/2 binary64) z) (/.f64 x (*.f64 y #s(literal 27 binary64))))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))
(*.f64 (/.f64 x y) (/.f64 #s(literal 3/2 binary64) (*.f64 z #s(literal 27 binary64))))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal 1/18 binary64) (neg.f64 y)))
(*.f64 (/.f64 x #s(literal 27 binary64)) (/.f64 #s(literal 3/2 binary64) (*.f64 z y)))
(*.f64 (/.f64 x z) (/.f64 #s(literal 3/2 binary64) (*.f64 y #s(literal 27 binary64))))
(*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1/18 binary64) (*.f64 (neg.f64 z) y)))
(*.f64 (/.f64 (/.f64 x y) #s(literal -27 binary64)) (/.f64 #s(literal 3/2 binary64) (neg.f64 z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(*.f64 #s(literal 3/2 binary64) (/.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) z))
(*.f64 (/.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) z) #s(literal 3/2 binary64))
(*.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) (/.f64 #s(literal 3/2 binary64) z))
(*.f64 x (/.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 z y) #s(literal 27 binary64))))
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(/.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) x) z) (*.f64 y #s(literal 27 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) x) y) (*.f64 z #s(literal 27 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) z) (neg.f64 y))
(/.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1/18 binary64) y)) (neg.f64 z))
(/.f64 (*.f64 (/.f64 (neg.f64 x) z) #s(literal 1/18 binary64)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 3/2 binary64) z)) #s(literal 27 binary64))
(/.f64 (*.f64 (/.f64 x #s(literal -27 binary64)) (/.f64 #s(literal 3/2 binary64) z)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x #s(literal 27 binary64)) (/.f64 #s(literal 3/2 binary64) z)) y)
(/.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 3/2 binary64) z)) (*.f64 #s(literal -27 binary64) y))
(/.f64 (*.f64 x (/.f64 #s(literal 3/2 binary64) z)) (*.f64 y #s(literal 27 binary64)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (neg.f64 x) z)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y))) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 #s(literal -1/18 binary64) x)) (*.f64 z y))
(/.f64 (*.f64 (/.f64 x y) #s(literal 3/2 binary64)) (*.f64 z #s(literal 27 binary64)))
(/.f64 (*.f64 (/.f64 x #s(literal -27 binary64)) #s(literal 3/2 binary64)) (*.f64 (neg.f64 z) y))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) z)
(/.f64 (*.f64 (/.f64 x #s(literal 27 binary64)) #s(literal 3/2 binary64)) (*.f64 z y))
(/.f64 (*.f64 (neg.f64 x) #s(literal 3/2 binary64)) (*.f64 #s(literal -27 binary64) (*.f64 z y)))
(/.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 (*.f64 z y) #s(literal 27 binary64)))
(/.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) y)
(/.f64 (*.f64 #s(literal -1/18 binary64) x) (*.f64 (neg.f64 z) y))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64))) (neg.f64 z))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y))
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) z)
(neg.f64 (/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64))) z))
(neg.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) (*.f64 z y)))
(neg.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (neg.f64 z)))
(neg.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 (neg.f64 z) y)))
(neg.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (neg.f64 x) z) y)))
(neg.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x (*.f64 #s(literal -27 binary64) (*.f64 z y)))))
(neg.f64 (*.f64 (/.f64 (/.f64 (neg.f64 x) z) y) #s(literal 1/18 binary64)))
(neg.f64 (*.f64 (/.f64 x (*.f64 #s(literal -27 binary64) (*.f64 z y))) #s(literal 3/2 binary64)))
(neg.f64 (*.f64 (/.f64 (/.f64 x y) #s(literal -27 binary64)) (/.f64 #s(literal 3/2 binary64) z)))
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 z))
(/.f64 (neg.f64 (/.f64 x y)) (neg.f64 z))
(/.f64 (/.f64 x y) z)
(/.f64 (/.f64 (neg.f64 x) z) (neg.f64 y))
(/.f64 (/.f64 x z) (neg.f64 (neg.f64 y)))
(/.f64 (/.f64 x z) y)
(/.f64 (neg.f64 x) (*.f64 (neg.f64 z) y))
(/.f64 x (*.f64 z y))
(neg.f64 (/.f64 (/.f64 (neg.f64 x) z) y))
x
(*.f64 (neg.f64 (neg.f64 y)) z)
(*.f64 (neg.f64 y) (neg.f64 z))
(*.f64 (neg.f64 z) (neg.f64 y))
(*.f64 z (neg.f64 (neg.f64 y)))
(*.f64 z y)
(*.f64 y z)
(neg.f64 (*.f64 (neg.f64 z) y))
z
y
#s(literal 1/18 binary64)
#s(literal 1/3 binary64)

eval17.0ms (0.2%)

Memory
-3.6MiB live, 42.4MiB allocated; 5ms collecting garbage
Compiler

Compiled 3 634 to 656 computations (81.9% saved)

prune20.0ms (0.3%)

Memory
-10.9MiB live, 35.2MiB allocated; 7ms collecting garbage
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1240124
Fresh000
Picked011
Done011
Total1242126
Accuracy
98.5%
Counts
126 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))))) #s(literal 1/3 binary64))
97.3%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 1/3 binary64)))
Compiler

Compiled 198 to 122 computations (38.4% saved)

regimes114.0ms (1.5%)

Memory
-22.1MiB live, 76.3MiB allocated; 10ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 x (*.f64 z y)) #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 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal 2 binary64) z))) (sqrt.f64 t))))
(*.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) #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))))) #s(literal 1/3 binary64))
Calls

13 calls:

9.0ms
(*.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))))
2.0ms
x
2.0ms
(*.f64 z #s(literal 2 binary64))
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
98.1%1(sqrt.f64 t)
98.1%1(*.f64 z #s(literal 2 binary64))
98.1%1(*.f64 y #s(literal 27 binary64))
98.1%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
98.1%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
98.1%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
98.1%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
98.1%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
98.1%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
98.1%1x
98.1%1y
98.1%1z
98.1%1t
Compiler

Compiled 83 to 108 computations (-30.1% saved)

regimes14.0ms (0.2%)

Memory
37.6MiB live, 37.6MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

13 calls:

1.0ms
t
1.0ms
(*.f64 y #s(literal 27 binary64))
1.0ms
z
1.0ms
(*.f64 z #s(literal 2 binary64))
1.0ms
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
Results
AccuracySegmentsBranch
97.4%1(sqrt.f64 t)
97.4%1(*.f64 z #s(literal 2 binary64))
97.4%1(*.f64 y #s(literal 27 binary64))
97.4%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
97.4%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
97.4%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
97.4%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
97.4%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
97.4%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
97.4%1x
97.4%1y
97.4%1z
97.4%1t
Compiler

Compiled 83 to 108 computations (-30.1% saved)

simplify56.0ms (0.8%)

Memory
-2.3MiB live, 89.2MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03954
17154
218354
365654
4306254
5497354
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 x (*.f64 z y)) #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 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))) #s(literal 1/3 binary64)))
Outputs
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 x (*.f64 z y)) #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 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))) #s(literal 1/3 binary64)))

derivations32.0ms (0.4%)

Memory
-20.4MiB live, 32.8MiB allocated; 8ms collecting garbage
Stop Event
done
Compiler

Compiled 56 to 39 computations (30.4% saved)

preprocess27.0ms (0.4%)

Memory
20.4MiB live, 66.6MiB allocated; 4ms collecting garbage
Remove

(sort y z)

Compiler

Compiled 230 to 186 computations (19.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

Loading profile data...