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

Time bar (total: 12.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze394.0ms (3.1%)

Memory
-8.3MiB live, 619.4MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
0%0%99.8%0.2%0%0%0%5
0%0%99.8%0.2%0%0%0%6
0%0%99.8%0.2%0%0%0%7
0%0%99.8%0.2%0%0%0%8
4.2%3.1%71.7%0.2%0%25%0%9
4.2%3.1%71.3%0.2%0%25.3%0%10
6.3%4.7%69.2%0.2%0%25.9%0%11
9.2%6.6%65.8%0.2%0%27.4%0%12
Compiler

Compiled 21 to 20 computations (4.8% saved)

sample5.8s (46.4%)

Memory
108.7MiB live, 5 460.4MiB allocated
Samples
2.5s15 509×0invalid
1.7s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.6s
ival-mult: 1.4s (54.4% of total)
ival-div: 706.0ms (26.9% of total)
ival-acos: 226.0ms (8.6% of total)
ival-sqrt: 187.0ms (7.1% of total)
exact: 47.0ms (1.8% of total)
ival-true: 20.0ms (0.8% of total)
ival-assert: 10.0ms (0.4% of total)
Bogosity

explain230.0ms (1.8%)

Memory
11.1MiB live, 327.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
240-2(1.7116908433348847e-157 -7.779383391604468e+152 -5.058938063870057e-37 2.4486563370547113e-256)(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
131(3.781831401628483e+54 -9.540729536334526e+74 -5.146364734853946e+303 126986.40683737904)4(-2.4570252428818914e+37 6.016239661838564e+189 1.01135567084475e+163 2.3811204664431318e+281)(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
00-0-t
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
00-0-(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
00-0-(*.f64 y #s(literal 27 binary64))
00-0-y
00-0-(/.f64 x (*.f64 y #s(literal 27 binary64)))
00-0-#s(literal 27 binary64)
00-0-z
00-0-(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
00-0-(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
00-0-#s(literal 2 binary64)
00-0-(*.f64 z #s(literal 2 binary64))
00-0-(sqrt.f64 t)
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))u/n210
↳(/.f64 x (*.f64 y #s(literal 27 binary64)))underflow52
↳(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))underflow52
*.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*u100
/.f64(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))o/n10
↳(/.f64 x (*.f64 y #s(literal 27 binary64)))overflow1
↳(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))overflow1
Confusion
Predicted +Predicted -
+10
-31224
Precision
0.03125
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-310224
Precision?
0.03125
Recall?
1.0
Freqs
test
numberfreq
0224
132
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
104.0ms512×0valid
Compiler

Compiled 293 to 76 computations (74.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 17.0ms (40.8% of total)
ival-div: 12.0ms (28.8% of total)
ival-sqrt: 7.0ms (16.8% of total)
ival-acos: 5.0ms (12% of total)
ival-true: 1.0ms (2.4% of total)
exact: 1.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)

preprocess196.0ms (1.6%)

Memory
-43.3MiB live, 157.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
089246
1276212
2973184
33703184
44854184
57084184
01817
02917
15015
212913
340113
4132013
5283213
6314813
7379613
0877213
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.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
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
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)

simplify266.0ms (2.1%)

Memory
-27.1MiB live, 133.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01886
02986
15076
212968
340168
4132068
5283268
6314868
7379668
0877268
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
(/.f64 x (*.f64 y #s(literal 27 binary64)))
x
(*.f64 y #s(literal 27 binary64))
y
#s(literal 27 binary64)
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(sqrt.f64 t)
t
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y)))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
(*.f64 (/.f64 #s(literal 1/9 binary64) y) x)
(/.f64 x (*.f64 y #s(literal 27 binary64)))
(/.f64 x (*.f64 #s(literal 27 binary64) y))
x
(*.f64 y #s(literal 27 binary64))
(*.f64 #s(literal 27 binary64) y)
y
#s(literal 27 binary64)
(*.f64 z #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) z)
z
#s(literal 2 binary64)
(sqrt.f64 t)
t

localize39.0ms (0.3%)

Memory
17.1MiB live, 17.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.20703125
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
accuracy0.96875
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
accuracy2.1937575538607277
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
accuracy4.798483482457853
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
Samples
28.0ms256×0valid
Compiler

Compiled 182 to 38 computations (79.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 7.0ms (41.2% of total)
ival-div: 5.0ms (29.4% of total)
ival-sqrt: 2.0ms (11.8% of total)
ival-acos: 2.0ms (11.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series61.0ms (0.5%)

Memory
-7.9MiB live, 29.3MiB allocated
Counts
5 → 6
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
Outputs
(* 1/18 (/ x (* y z)))
(* 1/9 (/ x y))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
Calls

12 calls:

TimeVariablePointExpression
38.0ms
z
@0
((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
3.0ms
y
@0
((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
3.0ms
x
@inf
((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
3.0ms
x
@0
((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
2.0ms
t
@-inf
((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))

simplify17.0ms (0.1%)

Memory
-11.0MiB live, 22.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02968
06368
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
Counts
6 → 6
Calls
Call 1
Inputs
(* 1/18 (/ x (* y z)))
(* 1/9 (/ x y))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
Outputs
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/9 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z)))) #s(literal 1/3 binary64))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z)))

rewrite316.0ms (2.5%)

Memory
12.3MiB live, 246.1MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01850
02950
17142
239636
3387036
0852036
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 492
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
Outputs
#s(literal 1/3 binary64)
(*.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 18 binary64) (/.f64 z (/.f64 x y))) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (*.f64 #s(literal 18 binary64) (/.f64 z (/.f64 x y))) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (*.f64 #s(literal 18 binary64) (/.f64 z (/.f64 x y))) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (*.f64 #s(literal 18 binary64) (/.f64 z (/.f64 x y))) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) (*.f64 x #s(literal 1/27 binary64))) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) (/.f64 (neg.f64 x) y)) #s(literal -1 binary64)) #s(literal -1/27 binary64))
(*.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/27 binary64) (/.f64 x y)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 x #s(literal 1/9 binary64))) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 (/.f64 x y) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1/27 binary64))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1/27 binary64) y))
(*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) z) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1/27 binary64))
(*.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1/27 binary64) y))
(*.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (*.f64 #s(literal 27 binary64) y)))
(*.f64 (pow.f64 (*.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) x) #s(literal 27 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) x) y) #s(literal -1 binary64)) #s(literal 1/27 binary64))
(*.f64 (pow.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 3/2 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y))))
(*.f64 (pow.f64 (/.f64 (neg.f64 z) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/27 binary64) (/.f64 x y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/27 binary64) (/.f64 x y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 z) #s(literal 3 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y))) #s(literal -1 binary64)) (pow.f64 (/.f64 z #s(literal -3 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 z #s(literal -3 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 z (*.f64 #s(literal -1/27 binary64) (/.f64 x y))) #s(literal -1 binary64)) #s(literal -3/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) y)) #s(literal -1 binary64)) (pow.f64 (/.f64 z (*.f64 x #s(literal 1/27 binary64))) #s(literal -1 binary64)))
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(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/54 binary64)) (sqrt.f64 t)) (*.f64 z #s(literal 1/3 binary64)))
(/.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) (*.f64 (/.f64 z (/.f64 x y)) #s(literal 54 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (sqrt.f64 t)) (/.f64 (*.f64 y #s(literal 54 binary64)) x))
(/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))
(/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)) (*.f64 (/.f64 z (*.f64 x #s(literal 1/9 binary64))) y))
(/.f64 (*.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) (sqrt.f64 t)) (*.f64 #s(literal -2 binary64) z))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 #s(literal 18 binary64) (/.f64 x y)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/9 binary64)) (/.f64 x y)) (*.f64 #s(literal 2 binary64) z))
(/.f64 (sqrt.f64 t) (*.f64 #s(literal 18 binary64) (/.f64 z (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (sqrt.f64 t) (*.f64 #s(literal 3/2 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 x z)) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 #s(literal 18 binary64) (/.f64 x y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 #s(literal 18 binary64) (/.f64 x y))))
(neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) (sqrt.f64 t)) (*.f64 #s(literal 2 binary64) z)))
(neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z))))
(neg.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t)))
(exp.f64 (fma.f64 (log.f64 t) #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 #s(literal 18 binary64) (/.f64 z (/.f64 x y)))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 18 binary64) (/.f64 z (/.f64 x y)))) #s(literal -1 binary64) (log.f64 (sqrt.f64 t))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal -1 binary64)))

eval76.0ms (0.6%)

Memory
10.4MiB live, 139.8MiB allocated
Compiler

Compiled 9 452 to 2 441 computations (74.2% saved)

prune11.0ms (0.1%)

Memory
-4.2MiB live, 34.7MiB allocated
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New4962498
Fresh000
Picked101
Done000
Total4972499
Accuracy
98.5%
Counts
499 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.0%
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
▶98.5%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))
Compiler

Compiled 69 to 51 computations (26.1% saved)

simplify547.0ms (4.3%)

Memory
21.9MiB live, 97.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))
cost-diff0
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
cost-diff128
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
cost-diff384
(/.f64 (/.f64 x y) z)
cost-diff0
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
cost-diff0
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))
cost-diff0
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
cost-diff0
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043244
064244
1128242
2367240
31163240
43537240
55750240
67789240
08016238
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(/.f64 x (*.f64 z y))
x
(*.f64 z y)
z
y
#s(literal 1/3 binary64)
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))
(asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(sqrt.f64 t)
t
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
#s(literal 1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z
#s(literal 2 binary64)
#s(literal 1/3 binary64)
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))
#s(literal 1/2 binary64)
Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(/.f64 x (*.f64 z y))
x
(*.f64 z y)
z
y
#s(literal 1/3 binary64)
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))))
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))
(pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))
(asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)
(sqrt.f64 t)
t
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x (*.f64 z y))
(/.f64 x y)
x
y
z
#s(literal 2 binary64)
#s(literal 1/3 binary64)
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))
#s(literal 1/2 binary64)

localize149.0ms (1.2%)

Memory
-18.8MiB live, 213.2MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.30697250976844204
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
accuracy0.98828125
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
accuracy2.1937575538607277
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
accuracy4.768542118024777
(/.f64 (/.f64 x y) z)
accuracy0.36166000976844204
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
accuracy0.96875
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
accuracy2.081941014724685
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))
accuracy6.44427168687704
(/.f64 x (*.f64 z y))
Samples
116.0ms256×0valid
Compiler

Compiled 482 to 88 computations (81.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-mult: 23.0ms (36% of total)
ival-div: 19.0ms (29.7% of total)
const: 7.0ms (10.9% of total)
ival-acos: 4.0ms (6.3% of total)
ival-pow2: 3.0ms (4.7% of total)
ival-asin: 2.0ms (3.1% of total)
ival-sqrt: 2.0ms (3.1% of total)
ival-pi: 1.0ms (1.6% of total)
ival-add: 1.0ms (1.6% of total)
ival-sub: 1.0ms (1.6% of total)
exact: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series61.0ms (0.5%)

Memory
14.1MiB live, 85.0MiB allocated
Counts
12 → 16
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) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(/.f64 (/.f64 x y) z)
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))
(/.f64 x (*.f64 z y))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
Outputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(/ x (* y z))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (/ x (* y z)))
(* 1/18 (sqrt t))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
Calls

12 calls:

TimeVariablePointExpression
18.0ms
y
@inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) (* 1/18 (sqrt t)) (/ (/ x y) z) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) (/ x (* z y)) (* (* 1/18 (sqrt t)) (/ x (* z y))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (* 1/18 (/ (/ x y) z)))
7.0ms
t
@inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) (* 1/18 (sqrt t)) (/ (/ x y) z) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) (/ x (* z y)) (* (* 1/18 (sqrt t)) (/ x (* z y))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (* 1/18 (/ (/ x y) z)))
7.0ms
x
@0
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) (* 1/18 (sqrt t)) (/ (/ x y) z) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) (/ x (* z y)) (* (* 1/18 (sqrt t)) (/ x (* z y))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (* 1/18 (/ (/ x y) z)))
4.0ms
t
@-inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) (* 1/18 (sqrt t)) (/ (/ x y) z) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) (/ x (* z y)) (* (* 1/18 (sqrt t)) (/ x (* z y))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (* 1/18 (/ (/ x y) z)))
4.0ms
x
@-inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) (* 1/18 (sqrt t)) (/ (/ x y) z) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) (/ x (* z y)) (* (* 1/18 (sqrt t)) (/ x (* z y))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (* 1/18 (/ (/ x y) z)))

simplify23.0ms (0.2%)

Memory
-11.1MiB live, 33.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049282
0120280
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
Counts
16 → 16
Calls
Call 1
Inputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(/ x (* y z))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (/ x (* y z)))
(* 1/18 (sqrt t))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
Outputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))
(/ x (* y z))
(/.f64 x (*.f64 z y))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))) #s(literal 1/3 binary64))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 2 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (sqrt t))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z)))) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z))))
(* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))
(*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z)))))) #s(literal 1/3 binary64))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z)))) #s(literal 2 binary64)))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z)))

rewrite278.0ms (2.2%)

Memory
-20.1MiB live, 160.9MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043172
064149
1221147
21516133
010331133
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
12 → 969
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) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(/.f64 (/.f64 x y) z)
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))
(/.f64 x (*.f64 z y))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) (/.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y)))))
(*.f64 (/.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y)))))
(*.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y)))) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y)))) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))
(*.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 4 binary64)))
(*.f64 (pow.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) (pow.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal -1 binary64))))
(*.f64 (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 4 binary64)) (/.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (pow.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 6 binary64)) (/.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (pow.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal -1 binary64))))
(*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal -1 binary64)) (*.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))
(*.f64 (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 3 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 6 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 4 binary64)) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal -1 binary64)) #s(literal 3 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y)))))
(*.f64 (/.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y)))) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) (/.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y)))))
(*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 1/3 binary64))
(*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal -1 binary64)))
(*.f64 #s(literal 1/3 binary64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y)))))
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(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (neg.f64 x) y)) (neg.f64 z))
(/.f64 (*.f64 #s(literal 1/18 binary64) (neg.f64 x)) (*.f64 (neg.f64 z) y))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y))
(/.f64 (/.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) #s(literal -2 binary64)) z)
(/.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))) (neg.f64 (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #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 (*.f64 (/.f64 x y) #s(literal 1/18 binary64))) (neg.f64 z))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 z y) x))))
(/.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 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) z)
(/.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 #s(literal 9 binary64) (/.f64 y x)))
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/54 binary64)) (*.f64 z #s(literal 1/3 binary64)))
(/.f64 (/.f64 #s(literal 3 binary64) z) (*.f64 (/.f64 (*.f64 #s(literal 27 binary64) y) x) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 3 binary64) z) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 27 binary64) y) x)))
(/.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) (*.f64 #s(literal -2 binary64) z))
(/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 z y) x))
(/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (*.f64 #s(literal 2 binary64) z))
(/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (*.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/3 binary64)))
(/.f64 #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 #s(literal 27 binary64) y) x) (*.f64 #s(literal 2 binary64) z)))
(/.f64 #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 z y) x) #s(literal 54 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 x z) #s(literal 1/18 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) #s(literal 1/18 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) y) (*.f64 (neg.f64 x) #s(literal 1/18 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) (*.f64 x #s(literal 1/18 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 1/18 binary64) (/.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (*.f64 #s(literal 1/18 binary64) (/.f64 (neg.f64 x) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) y) (*.f64 #s(literal 1/18 binary64) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z y) x) #s(literal 1/18 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 z y) x)))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 z y) x)))
(neg.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))))
(-.f64 (/.f64 (PI.f64) (*.f64 #s(literal -2 binary64) z)) (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))))
(-.f64 (PI.f64) (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 z y) x))) #s(literal -1 binary64)))

eval170.0ms (1.3%)

Memory
25.8MiB live, 211.0MiB allocated
Compiler

Compiled 40 119 to 4 000 computations (90% saved)

prune18.0ms (0.1%)

Memory
-13.5MiB live, 62.5MiB allocated
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New8933896
Fresh000
Picked112
Done000
Total8944898
Accuracy
98.5%
Counts
898 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.5%
#s(approx (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))) #s(literal 1/3 binary64)))
▶34.4%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
▶56.4%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
✓98.5%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))
Compiler

Compiled 239 to 144 computations (39.7% saved)

simplify236.0ms (1.9%)

Memory
21.2MiB live, 258.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 2 binary64)))
cost-diff0
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))))
cost-diff0
#s(approx (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))) #s(literal 1/3 binary64)))
cost-diff128
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))) #s(literal 1/3 binary64))
cost-diff0
(*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64))
cost-diff0
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
cost-diff6464
(fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) (PI.f64)))
cost-diff32448
(/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64)))
cost-diff0
(*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
cost-diff0
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
cost-diff6464
(fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y)))))
cost-diff19520
(/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070793
0105808
1219796
2713602
33057602
08442597
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y)))))
(pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))
(asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y)))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))
(/.f64 #s(literal 1/18 binary64) z)
#s(literal 1/18 binary64)
z
(/.f64 (*.f64 (sqrt.f64 t) x) y)
(*.f64 (sqrt.f64 t) x)
(sqrt.f64 t)
t
x
y
#s(literal 2 binary64)
(*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))
(PI.f64)
(*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))
#s(literal 1/3 binary64)
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) (PI.f64)))
(pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 3 binary64))
(asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y)))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))
(/.f64 #s(literal 1/18 binary64) z)
#s(literal 1/18 binary64)
z
(/.f64 (*.f64 (sqrt.f64 t) x) y)
(*.f64 (sqrt.f64 t) x)
(sqrt.f64 t)
t
x
y
#s(literal 3 binary64)
#s(literal 2 binary64)
(*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) (PI.f64))
(pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))
(PI.f64)
(*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(literal 1/3 binary64)
#s(approx (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))) #s(literal 1/3 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 2 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1/4 binary64)
(pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 2 binary64))
(asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(/.f64 x (*.f64 z y))
x
(*.f64 z y)
z
y
#s(literal 2 binary64)
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))
#s(literal 1/2 binary64)
#s(literal 1/3 binary64)
Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (fma.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(fma.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))))
(fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y)))))
(*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) (fma.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) #s(literal 2 binary64) (PI.f64)))
(pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))
(pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) #s(literal 2 binary64))
(asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y)))
(asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z)))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))
(/.f64 #s(literal 1/18 binary64) z)
#s(literal 1/18 binary64)
z
(/.f64 (*.f64 (sqrt.f64 t) x) y)
(*.f64 (sqrt.f64 t) x)
(sqrt.f64 t)
t
x
y
#s(literal 2 binary64)
(*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))
(*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))))
(PI.f64)
(*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))
(*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) #s(literal 2 binary64))
#s(literal 1/3 binary64)
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (fma.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(fma.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))))
(fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) (PI.f64)))
(*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) #s(literal 2 binary64) (PI.f64)))
(pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 3 binary64))
(pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) #s(literal 3 binary64))
(asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y)))
(asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z)))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))
(/.f64 #s(literal 1/18 binary64) z)
#s(literal 1/18 binary64)
z
(/.f64 (*.f64 (sqrt.f64 t) x) y)
(*.f64 (sqrt.f64 t) x)
(sqrt.f64 t)
t
x
y
#s(literal 3 binary64)
#s(literal 2 binary64)
(*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) (PI.f64))
(*.f64 (PI.f64) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) #s(literal 2 binary64)))
(pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))
(pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) #s(literal 2 binary64))
(PI.f64)
(*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(literal 1/3 binary64)
#s(approx (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))) #s(literal 1/3 binary64)))
#s(approx (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))) #s(literal 1/3 binary64))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z)))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z)))))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 2 binary64)))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) #s(literal 2 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1/4 binary64)
(pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 2 binary64))
(pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) #s(literal 2 binary64))
(asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))
(asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z)))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(/.f64 x (*.f64 z y))
(/.f64 (/.f64 x y) z)
x
(*.f64 z y)
z
y
#s(literal 2 binary64)
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))))
#s(literal 1/2 binary64)
#s(literal 1/3 binary64)

localize243.0ms (1.9%)

Memory
-14.9MiB live, 274.2MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.36166000976844204
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
accuracy0.96875
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))) #s(literal 1/3 binary64))
accuracy2.081941014724685
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))
accuracy6.44427168687704
(/.f64 x (*.f64 z y))
accuracy1.0870364888619646
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
accuracy2.186919235422565
(/.f64 (*.f64 (sqrt.f64 t) x) y)
accuracy4.969083652248257
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))
accuracy37.477461436663575
(/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64)))
accuracy1.0870364888619646
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
accuracy2.186919235422565
(/.f64 (*.f64 (sqrt.f64 t) x) y)
accuracy4.969083652248257
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))
accuracy20.2639524481711
(/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)))
Samples
178.0ms256×0valid
Compiler

Compiled 1 474 to 143 computations (90.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 118.0ms
ival-mult: 52.0ms (44.1% of total)
ival-div: 22.0ms (18.7% of total)
ival-sub: 9.0ms (7.6% of total)
const: 7.0ms (5.9% of total)
ival-pow2: 7.0ms (5.9% of total)
ival-asin: 5.0ms (4.2% of total)
ival-add: 4.0ms (3.4% of total)
ival-pow: 4.0ms (3.4% of total)
ival-acos: 2.0ms (1.7% of total)
ival-sqrt: 2.0ms (1.7% of total)
ival-pi: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series151.0ms (1.2%)

Memory
30.3MiB live, 261.9MiB allocated
Counts
17 → 27
Calls
Call 1
Inputs
(/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y)))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) (PI.f64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))) #s(literal 1/3 binary64))
#s(approx (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))
(/.f64 (*.f64 (sqrt.f64 t) x) y)
(/.f64 x (*.f64 z y))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
Outputs
(* 1/2 (/ (+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (* (PI) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (* (PI) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/6 (/ (+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (* (PI) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/2 (/ (+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (* (PI) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (* (PI) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/6 (/ (+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (* (PI) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* (sqrt t) (/ x y))
(/ x (* y z))
(* 1/18 (sqrt t))
(* 1/2 (/ (+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (* (PI) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
(+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (* (PI) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/6 (/ (+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (* (PI) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
(* 1/2 (/ (+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (* (PI) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))
(+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (* (PI) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))
(* 1/6 (/ (+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (* (PI) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) y)))
(* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))
Calls

12 calls:

TimeVariablePointExpression
58.0ms
y
@-inf
((/ (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))))) (* (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2)) (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))))) (* (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2)) 1/3) (/ (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 3) 2) (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) (PI))) (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2)) (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 3) 2) (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) (PI))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 3) 2) (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) (PI))) (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2)) 1/3) (* (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))) 2)) (+ (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))))) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))) 2)) (+ (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))) 2)) (* (/ 1/18 z) (/ (* (sqrt t) x) y)) (/ (* (sqrt t) x) y) (/ x (* z y)) (* (* 1/18 (sqrt t)) (/ x (* z y))) (* 1/18 (sqrt t)))
16.0ms
x
@0
((/ (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))))) (* (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2)) (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))))) (* (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2)) 1/3) (/ (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 3) 2) (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) (PI))) (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2)) (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 3) 2) (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) (PI))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 3) 2) (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) (PI))) (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2)) 1/3) (* (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))) 2)) (+ (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))))) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))) 2)) (+ (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))) 2)) (* (/ 1/18 z) (/ (* (sqrt t) x) y)) (/ (* (sqrt t) x) y) (/ x (* z y)) (* (* 1/18 (sqrt t)) (/ x (* z y))) (* 1/18 (sqrt t)))
12.0ms
z
@inf
((/ (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))))) (* (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2)) (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))))) (* (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2)) 1/3) (/ (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 3) 2) (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) (PI))) (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2)) (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 3) 2) (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) (PI))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 3) 2) (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) (PI))) (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2)) 1/3) (* (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))) 2)) (+ (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))))) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))) 2)) (+ (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))) 2)) (* (/ 1/18 z) (/ (* (sqrt t) x) y)) (/ (* (sqrt t) x) y) (/ x (* z y)) (* (* 1/18 (sqrt t)) (/ x (* z y))) (* 1/18 (sqrt t)))
10.0ms
x
@-inf
((/ (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))))) (* (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2)) (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))))) (* (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2)) 1/3) (/ (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 3) 2) (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) (PI))) (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2)) (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 3) 2) (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) (PI))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 3) 2) (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) (PI))) (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2)) 1/3) (* (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))) 2)) (+ (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))))) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))) 2)) (+ (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))) 2)) (* (/ 1/18 z) (/ (* (sqrt t) x) y)) (/ (* (sqrt t) x) y) (/ x (* z y)) (* (* 1/18 (sqrt t)) (/ x (* z y))) (* 1/18 (sqrt t)))
8.0ms
t
@-inf
((/ (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))))) (* (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2)) (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))))) (* (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2)) 1/3) (/ (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 3) 2) (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) (PI))) (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2)) (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 3) 2) (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) (PI))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 3) 2) (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) (PI))) (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2)) 1/3) (* (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))) 2)) (+ (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))))) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))) 2)) (+ (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))) 2)) (* (/ 1/18 z) (/ (* (sqrt t) x) y)) (/ (* (sqrt t) x) y) (/ x (* z y)) (* (* 1/18 (sqrt t)) (/ x (* z y))) (* 1/18 (sqrt t)))

simplify95.0ms (0.8%)

Memory
-18.8MiB live, 19.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079859
0219843
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
Counts
27 → 27
Calls
Call 1
Inputs
(* 1/2 (/ (+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (* (PI) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (* (PI) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/6 (/ (+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (* (PI) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/2 (/ (+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (* (PI) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (* (PI) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/6 (/ (+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (* (PI) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* (sqrt t) (/ x y))
(/ x (* y z))
(* 1/18 (sqrt t))
(* 1/2 (/ (+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (* (PI) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
(+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (* (PI) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/6 (/ (+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (* (PI) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
(* 1/2 (/ (+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (* (PI) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))
(+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (* (PI) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))
(* 1/6 (/ (+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (* (PI) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) y)))
(* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))
Outputs
(* 1/2 (/ (+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (* (PI) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z))) (PI.f64))) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z)))) #s(literal 1/2 binary64))
(+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (* (PI) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z))) (PI.f64)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64))
(* 1/6 (/ (+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (* (PI) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(*.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z))) (PI.f64))) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z)))))
(* 1/2 (/ (+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (* (PI) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z))) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z))) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (* (PI) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(fma.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z))) #s(literal 2 binary64)) (PI.f64)))
(* 1/6 (/ (+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (* (PI) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z))) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z))) #s(literal 2 binary64))) #s(literal 1/6 binary64))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z)))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z))) #s(literal 2 binary64)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z))
(* (sqrt t) (/ x y))
(*.f64 (/.f64 x y) (sqrt.f64 t))
(/ x (* y z))
(/.f64 (/.f64 x y) z)
(* 1/18 (sqrt t))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(* 1/2 (/ (+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (* (PI) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z)))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z)))) (PI.f64))) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z))))) #s(literal 1/2 binary64))
(+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (* (PI) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
(fma.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z)))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z)))) (PI.f64)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z)))) #s(literal 1/3 binary64))
(* 1/6 (/ (+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (* (PI) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z)))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z)))) (PI.f64))) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z))))) #s(literal 1/6 binary64))
(* 1/2 (/ (+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (* (PI) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z)))) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z)))) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z)))) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (* (PI) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))
(fma.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z)))) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z)))) #s(literal 2 binary64)) (PI.f64)))
(* 1/6 (/ (+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (* (PI) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z)))) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z)))) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z)))) #s(literal 2 binary64))) #s(literal 1/6 binary64))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z)))))) #s(literal 1/3 binary64))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z))))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z)))) #s(literal 2 binary64)))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z)))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) y)))
(neg.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) y) (sqrt.f64 t)))
(* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))
(*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))

rewrite292.0ms (2.3%)

Memory
-19.1MiB live, 345.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070564
0105551
1420447
22951305
08449299
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 1 082
Calls
Call 1
Inputs
(/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y)))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) (PI.f64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))) #s(literal 1/3 binary64))
#s(approx (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))
(/.f64 (*.f64 (sqrt.f64 t) x) y)
(/.f64 x (*.f64 z y))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
Outputs
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))) (fma.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 6 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))) #s(literal 2 binary64))) (*.f64 (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 3 binary64)) #s(literal 2 binary64)) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 6 binary64)) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 4 binary64)) (*.f64 (PI.f64) (PI.f64))))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 9 binary64)) #s(literal 8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 6 binary64))))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (PI.f64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64))) (-.f64 (*.f64 (PI.f64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64))) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 3 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 6 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal -2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal -2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal -2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))) (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64))))) (pow.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))))
(*.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)))) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(*.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) (/.f64 #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))))
(pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)) #s(literal -1 binary64))
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(/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (neg.f64 x) (sqrt.f64 t))) (*.f64 (neg.f64 z) (neg.f64 y)))
(/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 (neg.f64 y) z))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (sqrt.f64 t))) (*.f64 (*.f64 z #s(literal 18 binary64)) (neg.f64 y)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 (*.f64 z #s(literal 18 binary64)) y))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (neg.f64 x) (sqrt.f64 t))) (*.f64 (neg.f64 y) z))
(/.f64 (*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) y) #s(literal 1/18 binary64)) z)
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) z) y)
(/.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 y (*.f64 x (sqrt.f64 t))) (neg.f64 z)))
(/.f64 #s(literal -1/18 binary64) (*.f64 (neg.f64 z) (/.f64 y (*.f64 x (sqrt.f64 t)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z))
(/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 z (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) y) #s(literal 1/18 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 x (sqrt.f64 t))) (*.f64 z #s(literal 18 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z #s(literal 18 binary64)) (/.f64 y (*.f64 x (sqrt.f64 t)))))
(/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) y) (*.f64 z #s(literal 18 binary64)))
(/.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 y (*.f64 x (sqrt.f64 t))))
(/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 y (*.f64 x (sqrt.f64 t))) z))
(/.f64 #s(literal 1/18 binary64) (*.f64 z (/.f64 y (*.f64 x (sqrt.f64 t)))))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))

eval271.0ms (2.1%)

Memory
27.2MiB live, 405.6MiB allocated
Compiler

Compiled 99 787 to 6 364 computations (93.6% saved)

prune84.0ms (0.7%)

Memory
-9.2MiB live, 211.8MiB allocated
Pruning

33 alts after pruning (31 fresh and 2 done)

PrunedKeptTotal
New1 246311 277
Fresh000
Picked213
Done011
Total1 248331 281
Accuracy
100.0%
Counts
1 281 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.6%
#s(approx (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (*.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))))))
35.0%
#s(approx (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (*.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) (/.f64 (PI.f64) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64))) (asin.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) #s(literal 1/3 binary64)))
35.1%
#s(approx (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (*.f64 (fma.f64 (*.f64 (PI.f64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64))) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal -2 binary64)) #s(literal 1/2 binary64)) (asin.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) #s(literal 1/3 binary64)))
54.8%
#s(approx (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (*.f64 (fma.f64 (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))) (/.f64 #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))) (asin.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) #s(literal 1/3 binary64)))
54.4%
#s(approx (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) (asin.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) #s(literal 1/3 binary64)))
✓98.5%
#s(approx (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))) #s(literal 1/3 binary64)))
33.7%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (pow.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)))) #s(literal 1/3 binary64))) #s(literal -1 binary64)))
55.5%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))) (*.f64 #s(literal 1/3 binary64) (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))))) #s(literal -1 binary64)))
▶53.5%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))))))
53.2%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) (*.f64 (/.f64 #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))) #s(literal 1/3 binary64))))
▶93.6%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) #s(literal 1/3 binary64)))
47.4%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
56.3%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) y) (*.f64 z #s(literal 18 binary64)))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
55.9%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) y) #s(literal 1/18 binary64)) z)))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
52.6%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t)) z)))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
▶46.0%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
46.2%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (/.f64 (*.f64 (*.f64 x (sqrt.f64 t)) #s(literal 1 binary64)) (*.f64 y (*.f64 z #s(literal 18 binary64))))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
46.0%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (/.f64 (*.f64 (*.f64 x (sqrt.f64 t)) #s(literal -1/18 binary64)) (*.f64 (neg.f64 y) z))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
50.4%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 z (/.f64 y x)))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
44.8%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
48.8%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (*.f64 (asin.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 (neg.f64 x) (sqrt.f64 t))) (neg.f64 y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
▶52.5%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (*.f64 (asin.f64 (/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t)) z)) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
46.0%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (*.f64 (asin.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
45.9%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (*.f64 (asin.f64 (/.f64 (*.f64 (*.f64 x (sqrt.f64 t)) #s(literal -1/18 binary64)) (*.f64 (neg.f64 y) z))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
47.1%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (*.f64 (asin.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
53.5%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (*.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 y (*.f64 x (sqrt.f64 t))) z))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
44.7%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
52.7%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 x (/.f64 (sqrt.f64 t) y)))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
44.8%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)) (sqrt.f64 t))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
33.4%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (*.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)))) #s(literal 1/3 binary64)) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal -2 binary64)) #s(literal 1/2 binary64))))
53.1%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))))) #s(literal -1 binary64))) #s(literal 1/3 binary64)))
53.2%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))))) (/.f64 #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))))
✓98.5%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))
Compiler

Compiled 4 307 to 2 570 computations (40.3% saved)

simplify173.0ms (1.4%)

Memory
24.7MiB live, 258.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))))))
cost-diff320
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))))
cost-diff6464
(fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))))
cost-diff19200
(*.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))))
cost-diff0
(*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (*.f64 (asin.f64 (/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t)) z)) #s(literal 2 binary64))) #s(literal 1/3 binary64))
cost-diff0
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (*.f64 (asin.f64 (/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t)) z)) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
cost-diff6464
(fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y)))))
cost-diff19520
(/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (*.f64 (asin.f64 (/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t)) z)) #s(literal 2 binary64)))
cost-diff0
(*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
cost-diff0
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
cost-diff6464
(fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z)))))
cost-diff19520
(/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)))
cost-diff0
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) #s(literal 1/3 binary64))
cost-diff0
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) #s(literal 1/3 binary64)))
cost-diff320
(*.f64 #s(literal 1 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))
cost-diff1600
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))))
cost-diff0
(pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64))
cost-diff0
(-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 6 binary64)))
cost-diff0
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 6 binary64))) #s(literal 1/3 binary64))
cost-diff0
#s(approx (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (*.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01001432
01631217
13331177
210491166
337941166
080721162
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (*.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (*.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))))
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 6 binary64))) #s(literal 1/3 binary64))
(-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 6 binary64)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(PI.f64)
#s(literal 6 binary64)
(pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 6 binary64))
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))
(/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y)
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
(sqrt.f64 t)
t
#s(literal 1/18 binary64)
y
(/.f64 x z)
x
z
#s(literal 1/3 binary64)
(*.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))))
(fma.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 4 binary64))))
#s(literal 1/16 binary64)
(pow.f64 (PI.f64) #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 4 binary64)))
#s(literal 1/4 binary64)
(pow.f64 (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))) #s(literal 2 binary64))
(*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))
#s(literal 2 binary64)
(pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 4 binary64))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) #s(literal 1/3 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))
#s(literal 1/2 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(*.f64 #s(literal 1 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))
#s(literal 1 binary64)
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))
(/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y)
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
(sqrt.f64 t)
t
#s(literal 1/18 binary64)
y
(/.f64 x z)
x
z
#s(literal 1/3 binary64)
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z)))))
(pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))
(asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y)))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))
(/.f64 #s(literal 1/18 binary64) z)
#s(literal 1/18 binary64)
z
(/.f64 (*.f64 (sqrt.f64 t) x) y)
(*.f64 (sqrt.f64 t) x)
(sqrt.f64 t)
t
x
y
#s(literal 2 binary64)
(*.f64 (PI.f64) (asin.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z))))
(PI.f64)
(asin.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x)
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
(*.f64 y z)
(*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))
#s(literal 1/3 binary64)
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (*.f64 (asin.f64 (/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t)) z)) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (*.f64 (asin.f64 (/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t)) z)) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (*.f64 (asin.f64 (/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t)) z)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y)))))
(pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))
(asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y)))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))
(/.f64 #s(literal 1/18 binary64) z)
#s(literal 1/18 binary64)
z
(/.f64 (*.f64 (sqrt.f64 t) x) y)
(*.f64 (sqrt.f64 t) x)
(sqrt.f64 t)
t
x
y
#s(literal 2 binary64)
(*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))
(PI.f64)
(*.f64 (asin.f64 (/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t)) z)) #s(literal 2 binary64))
(asin.f64 (/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t)) z))
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t)) z)
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t))
(*.f64 (/.f64 x y) #s(literal 1/18 binary64))
(/.f64 x y)
#s(literal 1/3 binary64)
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))))))
(*.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))))
(fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))))
(pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64))
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))
(/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y)
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
(sqrt.f64 t)
t
#s(literal 1/18 binary64)
y
(/.f64 x z)
x
z
#s(literal 2 binary64)
(*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))
(PI.f64)
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))))
#s(literal 1/3 binary64)
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))
Outputs
#s(approx (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (*.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))))))
#s(approx (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))))) (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 6 binary64)))) (fma.f64 (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 4 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (*.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))))
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))))) (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 6 binary64)))) (fma.f64 (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 4 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 6 binary64))) #s(literal 1/3 binary64))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 6 binary64))) #s(literal 1/3 binary64))
(-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 6 binary64)))
(-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 6 binary64)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64))
(pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 6 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(PI.f64)
#s(literal 6 binary64)
(pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 6 binary64))
(pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 6 binary64))
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))
(asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))
(/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y)
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
(sqrt.f64 t)
t
#s(literal 1/18 binary64)
y
(/.f64 x z)
x
z
#s(literal 1/3 binary64)
(*.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))))
(*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y)))) (fma.f64 (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 4 binary64)))))
(fma.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 4 binary64))))
(fma.f64 (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 4 binary64))))
#s(literal 1/16 binary64)
(pow.f64 (PI.f64) #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 4 binary64)))
(fma.f64 (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 4 binary64)))
#s(literal 1/4 binary64)
(pow.f64 (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))) (PI.f64)) #s(literal 2 binary64))
(*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))
(*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))) (PI.f64))
#s(literal 2 binary64)
(pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 4 binary64))
(pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 4 binary64))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1/3 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) #s(literal 1/3 binary64))
(*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(*.f64 #s(literal 1 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))
(asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y)))
#s(literal 1 binary64)
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))
(asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))
(/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y)
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
(sqrt.f64 t)
t
#s(literal 1/18 binary64)
y
(/.f64 x z)
x
z
#s(literal 1/3 binary64)
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1/3 binary64))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))))
(fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z)))))
(*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))) (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 2 binary64) (PI.f64)))
(pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))
(pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 2 binary64))
(asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y)))
(asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y)))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))
(/.f64 #s(literal 1/18 binary64) z)
#s(literal 1/18 binary64)
z
(/.f64 (*.f64 (sqrt.f64 t) x) y)
(*.f64 (sqrt.f64 t) x)
(sqrt.f64 t)
t
x
y
#s(literal 2 binary64)
(*.f64 (PI.f64) (asin.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z))))
(*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))) (PI.f64))
(PI.f64)
(asin.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z)))
(asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x)
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
(*.f64 y z)
(*.f64 z y)
(*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))
(*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 2 binary64))
#s(literal 1/3 binary64)
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (*.f64 (asin.f64 (/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t)) z)) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (*.f64 (asin.f64 (/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t)) z)) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1/3 binary64))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (*.f64 (asin.f64 (/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t)) z)) #s(literal 2 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))))
(fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y)))))
(*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))) (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 2 binary64) (PI.f64)))
(pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))
(pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 2 binary64))
(asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y)))
(asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y)))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))
(/.f64 #s(literal 1/18 binary64) z)
#s(literal 1/18 binary64)
z
(/.f64 (*.f64 (sqrt.f64 t) x) y)
(*.f64 (sqrt.f64 t) x)
(sqrt.f64 t)
t
x
y
#s(literal 2 binary64)
(*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))
(*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))) (PI.f64))
(PI.f64)
(*.f64 (asin.f64 (/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t)) z)) #s(literal 2 binary64))
(*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 2 binary64))
(asin.f64 (/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t)) z))
(asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y)))
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t)) z)
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) #s(literal 1/18 binary64))
(*.f64 (/.f64 x y) #s(literal 1/18 binary64))
(/.f64 x y)
#s(literal 1/3 binary64)
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1/3 binary64)))
(*.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))))
(*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))))
(*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))) (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 2 binary64) (PI.f64)))
(pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64))
(pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 2 binary64))
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))
(asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))
(/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y)
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
(sqrt.f64 t)
t
#s(literal 1/18 binary64)
y
(/.f64 x z)
x
z
#s(literal 2 binary64)
(*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))
(*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))) (PI.f64))
(PI.f64)
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))))
(/.f64 #s(literal 1/6 binary64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))))
#s(literal 1/3 binary64)
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))
(*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 2 binary64))

localize271.0ms (2.2%)

Memory
-28.3MiB live, 451.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.36166000976844204
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
accuracy1.0870364888619646
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))))))
accuracy6.350425327102518
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))
accuracy21.625670116222896
(*.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))))
accuracy3.2177341310886973
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t))
accuracy4.969083652248257
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))
accuracy4.995353685765527
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t)) z)
accuracy20.2639524481711
(/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (*.f64 (asin.f64 (/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t)) z)) #s(literal 2 binary64)))
accuracy2.186919235422565
(/.f64 (*.f64 (sqrt.f64 t) x) y)
accuracy4.969083652248257
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))
accuracy8.267579225989545
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z))
accuracy20.2639524481711
(/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)))
accuracy0.98046875
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy1.0870364888619646
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) #s(literal 1/3 binary64)))
accuracy6.350425327102518
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))
accuracy0.96484375
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (*.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))))
accuracy1.58496250072115
(pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64))
accuracy1.58496250072115
(pow.f64 (PI.f64) #s(literal 4 binary64))
accuracy6.350425327102518
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))
Samples
186.0ms256×0valid
Compiler

Compiled 2 671 to 204 computations (92.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 144.0ms
ival-mult: 62.0ms (42.9% of total)
ival-div: 27.0ms (18.7% of total)
ival-pow: 11.0ms (7.6% of total)
ival-pow2: 10.0ms (6.9% of total)
ival-add: 8.0ms (5.5% of total)
ival-asin: 8.0ms (5.5% of total)
const: 7.0ms (4.8% of total)
ival-sqrt: 4.0ms (2.8% of total)
ival-pi: 2.0ms (1.4% of total)
ival-acos: 2.0ms (1.4% of total)
ival-sub: 2.0ms (1.4% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series141.0ms (1.1%)

Memory
17.9MiB live, 253.6MiB allocated
Counts
30 → 32
Calls
Call 1
Inputs
#s(approx (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (*.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 6 binary64))) #s(literal 1/3 binary64))
(-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 6 binary64)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))))
(*.f64 #s(literal 1 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) #s(literal 1/3 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) #s(literal 1/3 binary64))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z)))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (*.f64 (asin.f64 (/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t)) z)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y)))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (*.f64 (asin.f64 (/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t)) z)) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (*.f64 (asin.f64 (/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t)) z)) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(*.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))))
(fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))
(pow.f64 (PI.f64) #s(literal 4 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (*.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))))
(sqrt.f64 (PI.f64))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))
(/.f64 (*.f64 (sqrt.f64 t) x) y)
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t)) z)
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
Outputs
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (- (* 1/64 (pow (PI) 6)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6)))
(- (* 1/64 (pow (PI) 6)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))
(+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(* 1/2 (/ (+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (* (PI) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (* (PI) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/6 (/ (+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (* (PI) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(/ 1/6 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/3 (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6)) (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))))))
(* (sqrt t) (/ x y))
(* 1/18 (* (sqrt t) (/ x y)))
(* 1/18 (sqrt t))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))
(* 1/3 (- (* 1/64 (pow (PI) 6)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 6)))
(- (* 1/64 (pow (PI) 6)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 6))
(+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))
(asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))
(* 1/2 (/ (+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (* (PI) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
(+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (* (PI) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
(* 1/6 (/ (+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (* (PI) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
(/ 1/6 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* 1/3 (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 6)) (* (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 4))))))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) y)))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) y)))
(* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))
Calls

12 calls:

TimeVariablePointExpression
30.0ms
x
@inf
((/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (* (- (pow (* 1/2 (PI)) 6) (pow (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))) 6)) 1/3) (- (pow (* 1/2 (PI)) 6) (pow (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))) 6)) (pow (* 1/2 (PI)) 6) (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (* 1 (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))))) (* 1 (asin (* (/ (* (sqrt t) 1/18) y) (/ x z)))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (* 1 (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))))) 1/3) (/ (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (/ (* (* (sqrt t) 1/18) x) (* y z))))) (* (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2)) (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (/ (* (* (sqrt t) 1/18) x) (* y z))))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (/ (* (* (sqrt t) 1/18) x) (* y z))))) (* (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2)) 1/3) (/ (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))))) (* (asin (/ (* (* (/ x y) 1/18) (sqrt t)) z)) 2)) (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))))) (* (asin (/ (* (* (/ x y) 1/18) (sqrt t)) z)) 2)) 1/3) (* (+ (* (pow (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))) 2) 2) (* (PI) (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))))) (/ 1/3 (* 2 (asin (* (/ (* (sqrt t) 1/18) y) (/ x z)))))) (+ (* (pow (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))) 2) 2) (* (PI) (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))))) (/ 1/3 (* 2 (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* (sqrt t) 1/18) y) (/ x z)) (pow (PI) 4) (/ (* (- (pow (* 1/2 (PI)) 6) (pow (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))) 6)) 1/3) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (pow (* (PI) (asin (* (/ (* (sqrt t) 1/18) y) (/ x z)))) 2)) (pow (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))) 4))) (+ (* 1/2 (PI)) (asin (* (/ (* (sqrt t) 1/18) y) (/ x z)))))) (sqrt (PI)) (/ (* (* (sqrt t) 1/18) x) (* y z)) (* (/ 1/18 z) (/ (* (sqrt t) x) y)) (/ (* (sqrt t) x) y) (/ (* (* (/ x y) 1/18) (sqrt t)) z) (* (* (/ x y) 1/18) (sqrt t)) (* (sqrt t) 1/18))
12.0ms
y
@inf
((/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (* (- (pow (* 1/2 (PI)) 6) (pow (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))) 6)) 1/3) (- (pow (* 1/2 (PI)) 6) (pow (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))) 6)) (pow (* 1/2 (PI)) 6) (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (* 1 (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))))) (* 1 (asin (* (/ (* (sqrt t) 1/18) y) (/ x z)))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (* 1 (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))))) 1/3) (/ (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (/ (* (* (sqrt t) 1/18) x) (* y z))))) (* (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2)) (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (/ (* (* (sqrt t) 1/18) x) (* y z))))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (/ (* (* (sqrt t) 1/18) x) (* y z))))) (* (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2)) 1/3) (/ (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))))) (* (asin (/ (* (* (/ x y) 1/18) (sqrt t)) z)) 2)) (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))))) (* (asin (/ (* (* (/ x y) 1/18) (sqrt t)) z)) 2)) 1/3) (* (+ (* (pow (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))) 2) 2) (* (PI) (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))))) (/ 1/3 (* 2 (asin (* (/ (* (sqrt t) 1/18) y) (/ x z)))))) (+ (* (pow (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))) 2) 2) (* (PI) (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))))) (/ 1/3 (* 2 (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* (sqrt t) 1/18) y) (/ x z)) (pow (PI) 4) (/ (* (- (pow (* 1/2 (PI)) 6) (pow (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))) 6)) 1/3) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (pow (* (PI) (asin (* (/ (* (sqrt t) 1/18) y) (/ x z)))) 2)) (pow (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))) 4))) (+ (* 1/2 (PI)) (asin (* (/ (* (sqrt t) 1/18) y) (/ x z)))))) (sqrt (PI)) (/ (* (* (sqrt t) 1/18) x) (* y z)) (* (/ 1/18 z) (/ (* (sqrt t) x) y)) (/ (* (sqrt t) x) y) (/ (* (* (/ x y) 1/18) (sqrt t)) z) (* (* (/ x y) 1/18) (sqrt t)) (* (sqrt t) 1/18))
12.0ms
t
@-inf
((/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (* (- (pow (* 1/2 (PI)) 6) (pow (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))) 6)) 1/3) (- (pow (* 1/2 (PI)) 6) (pow (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))) 6)) (pow (* 1/2 (PI)) 6) (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (* 1 (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))))) (* 1 (asin (* (/ (* (sqrt t) 1/18) y) (/ x z)))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (* 1 (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))))) 1/3) (/ (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (/ (* (* (sqrt t) 1/18) x) (* y z))))) (* (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2)) (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (/ (* (* (sqrt t) 1/18) x) (* y z))))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (/ (* (* (sqrt t) 1/18) x) (* y z))))) (* (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2)) 1/3) (/ (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))))) (* (asin (/ (* (* (/ x y) 1/18) (sqrt t)) z)) 2)) (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))))) (* (asin (/ (* (* (/ x y) 1/18) (sqrt t)) z)) 2)) 1/3) (* (+ (* (pow (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))) 2) 2) (* (PI) (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))))) (/ 1/3 (* 2 (asin (* (/ (* (sqrt t) 1/18) y) (/ x z)))))) (+ (* (pow (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))) 2) 2) (* (PI) (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))))) (/ 1/3 (* 2 (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* (sqrt t) 1/18) y) (/ x z)) (pow (PI) 4) (/ (* (- (pow (* 1/2 (PI)) 6) (pow (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))) 6)) 1/3) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (pow (* (PI) (asin (* (/ (* (sqrt t) 1/18) y) (/ x z)))) 2)) (pow (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))) 4))) (+ (* 1/2 (PI)) (asin (* (/ (* (sqrt t) 1/18) y) (/ x z)))))) (sqrt (PI)) (/ (* (* (sqrt t) 1/18) x) (* y z)) (* (/ 1/18 z) (/ (* (sqrt t) x) y)) (/ (* (sqrt t) x) y) (/ (* (* (/ x y) 1/18) (sqrt t)) z) (* (* (/ x y) 1/18) (sqrt t)) (* (sqrt t) 1/18))
11.0ms
x
@-inf
((/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (* (- (pow (* 1/2 (PI)) 6) (pow (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))) 6)) 1/3) (- (pow (* 1/2 (PI)) 6) (pow (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))) 6)) (pow (* 1/2 (PI)) 6) (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (* 1 (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))))) (* 1 (asin (* (/ (* (sqrt t) 1/18) y) (/ x z)))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (* 1 (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))))) 1/3) (/ (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (/ (* (* (sqrt t) 1/18) x) (* y z))))) (* (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2)) (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (/ (* (* (sqrt t) 1/18) x) (* y z))))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (/ (* (* (sqrt t) 1/18) x) (* y z))))) (* (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2)) 1/3) (/ (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))))) (* (asin (/ (* (* (/ x y) 1/18) (sqrt t)) z)) 2)) (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))))) (* (asin (/ (* (* (/ x y) 1/18) (sqrt t)) z)) 2)) 1/3) (* (+ (* (pow (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))) 2) 2) (* (PI) (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))))) (/ 1/3 (* 2 (asin (* (/ (* (sqrt t) 1/18) y) (/ x z)))))) (+ (* (pow (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))) 2) 2) (* (PI) (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))))) (/ 1/3 (* 2 (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* (sqrt t) 1/18) y) (/ x z)) (pow (PI) 4) (/ (* (- (pow (* 1/2 (PI)) 6) (pow (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))) 6)) 1/3) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (pow (* (PI) (asin (* (/ (* (sqrt t) 1/18) y) (/ x z)))) 2)) (pow (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))) 4))) (+ (* 1/2 (PI)) (asin (* (/ (* (sqrt t) 1/18) y) (/ x z)))))) (sqrt (PI)) (/ (* (* (sqrt t) 1/18) x) (* y z)) (* (/ 1/18 z) (/ (* (sqrt t) x) y)) (/ (* (sqrt t) x) y) (/ (* (* (/ x y) 1/18) (sqrt t)) z) (* (* (/ x y) 1/18) (sqrt t)) (* (sqrt t) 1/18))
10.0ms
x
@0
((/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (* (- (pow (* 1/2 (PI)) 6) (pow (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))) 6)) 1/3) (- (pow (* 1/2 (PI)) 6) (pow (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))) 6)) (pow (* 1/2 (PI)) 6) (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (* 1 (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))))) (* 1 (asin (* (/ (* (sqrt t) 1/18) y) (/ x z)))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (* 1 (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))))) 1/3) (/ (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (/ (* (* (sqrt t) 1/18) x) (* y z))))) (* (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2)) (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (/ (* (* (sqrt t) 1/18) x) (* y z))))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (/ (* (* (sqrt t) 1/18) x) (* y z))))) (* (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2)) 1/3) (/ (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))))) (* (asin (/ (* (* (/ x y) 1/18) (sqrt t)) z)) 2)) (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (+ (* (pow (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))) 2) 2) (* (PI) (asin (* (/ 1/18 z) (/ (* (sqrt t) x) y))))) (* (asin (/ (* (* (/ x y) 1/18) (sqrt t)) z)) 2)) 1/3) (* (+ (* (pow (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))) 2) 2) (* (PI) (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))))) (/ 1/3 (* 2 (asin (* (/ (* (sqrt t) 1/18) y) (/ x z)))))) (+ (* (pow (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))) 2) 2) (* (PI) (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))))) (/ 1/3 (* 2 (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* (sqrt t) 1/18) y) (/ x z)) (pow (PI) 4) (/ (* (- (pow (* 1/2 (PI)) 6) (pow (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))) 6)) 1/3) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (pow (* (PI) (asin (* (/ (* (sqrt t) 1/18) y) (/ x z)))) 2)) (pow (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))) 4))) (+ (* 1/2 (PI)) (asin (* (/ (* (sqrt t) 1/18) y) (/ x z)))))) (sqrt (PI)) (/ (* (* (sqrt t) 1/18) x) (* y z)) (* (/ 1/18 z) (/ (* (sqrt t) x) y)) (/ (* (sqrt t) x) y) (/ (* (* (/ x y) 1/18) (sqrt t)) z) (* (* (/ x y) 1/18) (sqrt t)) (* (sqrt t) 1/18))

simplify25.0ms (0.2%)

Memory
-2.5MiB live, 38.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100858
0272840
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
Counts
32 → 32
Calls
Call 1
Inputs
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (- (* 1/64 (pow (PI) 6)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6)))
(- (* 1/64 (pow (PI) 6)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))
(+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(* 1/2 (/ (+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (* (PI) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (* (PI) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/6 (/ (+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (* (PI) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(/ 1/6 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/3 (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6)) (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))))))
(* (sqrt t) (/ x y))
(* 1/18 (* (sqrt t) (/ x y)))
(* 1/18 (sqrt t))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))
(* 1/3 (- (* 1/64 (pow (PI) 6)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 6)))
(- (* 1/64 (pow (PI) 6)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 6))
(+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))
(asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))
(* 1/2 (/ (+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (* (PI) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
(+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (* (PI) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
(* 1/6 (/ (+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (* (PI) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
(/ 1/6 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* 1/3 (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 6)) (* (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 4))))))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) y)))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) y)))
(* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))
Outputs
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64))
(* 1/3 (- (* 1/64 (pow (PI) 6)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6)))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 1/64 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z))) #s(literal 6 binary64))) #s(literal 1/3 binary64))
(- (* 1/64 (pow (PI) 6)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 1/64 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z))) #s(literal 6 binary64)))
(+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z))))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64))
(* 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
(* 1/2 (/ (+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (* (PI) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z))) (PI.f64))) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z)))) #s(literal 1/2 binary64))
(+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (* (PI) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z))) (PI.f64)))
(* 1/6 (/ (+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (* (PI) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
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(* 1/3 (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6)) (* (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 4))))))
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(* (sqrt t) (/ x y))
(*.f64 (/.f64 x y) (sqrt.f64 t))
(* 1/18 (* (sqrt t) (/ x y)))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y))
(* 1/18 (sqrt t))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))
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(* 1/3 (- (* 1/64 (pow (PI) 6)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 6)))
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(- (* 1/64 (pow (PI) 6)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 6))
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 1/64 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z)))) #s(literal 6 binary64)))
(+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))
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(asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
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(* 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))
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(* 1/2 (/ (+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (* (PI) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
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(* 1/6 (/ (+ (* 2 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (* (PI) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
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(/ 1/6 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
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(* 1/3 (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 6)) (* (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 4))))))
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(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) y)))
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(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) y)))
(*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) y))
(* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))
(*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))

rewrite227.0ms (1.8%)

Memory
-0.6MiB live, 354.5MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0100886
0163639
1633490
24683482
08575482
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
30 → 1 504
Calls
Call 1
Inputs
#s(approx (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (*.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 6 binary64))) #s(literal 1/3 binary64))
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(*.f64 #s(literal 1 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) #s(literal 1/3 binary64)))
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#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
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(*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))
(pow.f64 (PI.f64) #s(literal 4 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (*.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))))
(sqrt.f64 (PI.f64))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))
(/.f64 (*.f64 (sqrt.f64 t) x) y)
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t)) z)
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
Outputs
#s(approx (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z)))))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 6 binary64))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 6 binary64))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 12 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 12 binary64)))) (fma.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 1/64 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 6 binary64))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 18 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 18 binary64)))) (fma.f64 (pow.f64 (PI.f64) #s(literal 12 binary64)) #s(literal 1/4096 binary64) (fma.f64 (pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) (PI.f64)) #s(literal 6 binary64)) #s(literal 1/64 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 12 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 12 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 12 binary64))) #s(literal 1/3 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 1/64 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 6 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 18 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 18 binary64))) #s(literal 1/3 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 12 binary64)) #s(literal 1/4096 binary64) (fma.f64 (pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) (PI.f64)) #s(literal 6 binary64)) #s(literal 1/64 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 12 binary64)))))
(fma.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 6 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 6 binary64)) (*.f64 #s(literal 1/3 binary64) (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 6 binary64)))))
(+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 6 binary64)) #s(literal 1/3 binary64)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 6 binary64))) (*.f64 #s(literal 1/3 binary64) (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 6 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 12 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 12 binary64))) (pow.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 1/64 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 18 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 18 binary64))) (pow.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 12 binary64)) #s(literal 1/4096 binary64) (fma.f64 (pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) (PI.f64)) #s(literal 6 binary64)) #s(literal 1/64 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 12 binary64)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 3 binary64))))
(*.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 (pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 4 binary64)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 2 binary64))))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 1/64 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 6 binary64))) (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 12 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 12 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 12 binary64)) #s(literal 1/4096 binary64) (fma.f64 (pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) (PI.f64)) #s(literal 6 binary64)) #s(literal 1/64 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 12 binary64)))) (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 18 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 18 binary64)))) #s(literal -1 binary64))
(/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 18 binary64)) #s(literal 1/262144 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 18 binary64)))) (fma.f64 (pow.f64 (PI.f64) #s(literal 12 binary64)) #s(literal 1/4096 binary64) (-.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 12 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 6 binary64)) (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 6 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 12 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 12 binary64)))) (neg.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 1/64 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 6 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 18 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 18 binary64)))) (neg.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 12 binary64)) #s(literal 1/4096 binary64) (fma.f64 (pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) (PI.f64)) #s(literal 6 binary64)) #s(literal 1/64 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 12 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 12 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 12 binary64))) (fma.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 1/64 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 6 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 18 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 18 binary64))) (fma.f64 (pow.f64 (PI.f64) #s(literal 12 binary64)) #s(literal 1/4096 binary64) (fma.f64 (pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) (PI.f64)) #s(literal 6 binary64)) #s(literal 1/64 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 12 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 1/64 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 6 binary64))) (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 12 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 12 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 12 binary64)) #s(literal 1/4096 binary64) (fma.f64 (pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) (PI.f64)) #s(literal 6 binary64)) #s(literal 1/64 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 12 binary64)))) (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 18 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 18 binary64)))))
(fma.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 6 binary64))))
(fma.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 6 binary64))))
(fma.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 6 binary64))))
(fma.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/8 binary64)) (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 6 binary64))))
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(fma.f64 (pow.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)) (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 6 binary64))))
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(fma.f64 (pow.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 3/2 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)) (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 6 binary64))))
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(fma.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 6 binary64))))
(fma.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) #s(literal 3/2 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)) (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 6 binary64))))
(fma.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)) (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 6 binary64))))
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eval721.0ms (5.7%)

Memory
13.6MiB live, 457.2MiB allocated
Compiler

Compiled 139 977 to 8 154 computations (94.2% saved)

prune459.0ms (3.6%)

Memory
-2.0MiB live, 275.8MiB allocated
Pruning

34 alts after pruning (30 fresh and 4 done)

PrunedKeptTotal
New1 657191 676
Fresh151126
Picked325
Done022
Total1 675341 709
Accuracy
100.0%
Counts
1 709 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.6%
#s(approx (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))))) (fma.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 (pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 4 binary64))))))
97.2%
#s(approx (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (*.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))))))
54.8%
#s(approx (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (*.f64 (fma.f64 (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))) (/.f64 #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))) (asin.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) #s(literal 1/3 binary64)))
54.4%
#s(approx (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) (asin.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) #s(literal 1/3 binary64)))
✓98.5%
#s(approx (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))) #s(literal 1/3 binary64)))
55.9%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (pow.f64 (/.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) (PI.f64))) #s(literal 1/3 binary64))) #s(literal -1 binary64)))
55.9%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) (PI.f64))) (*.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 6 binary64))))
55.5%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/.f64 (*.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) (PI.f64))) #s(literal 1/6 binary64)) (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z)))))
53.2%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))))))
41.6%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1 binary64)) (*.f64 y (*.f64 z #s(literal 18 binary64))))))) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))))))
41.8%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))))) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))))))
41.8%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y)))))))
42.8%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 x (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 z y))))))))
53.4%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) (/.f64 #s(literal 1/6 binary64) (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))))))
45.1%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) #s(approx (/ 1/3 (* 2 (asin (* (/ (* (sqrt t) 1/18) y) (/ x z))))) (/.f64 #s(literal 1/6 binary64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z)))))))
53.4%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))))) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))))))
42.8%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 x (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 z y)))))) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))))))
41.8%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 z y)))))) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))))))
53.5%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (fma.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z)))) (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z)))) #s(literal 1/3 binary64)))
95.6%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))))) #s(literal 1/3 binary64)))
53.2%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) (/.f64 (PI.f64) (*.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 2 binary64))) (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z)))) #s(literal 1/3 binary64)))
56.3%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) y) (*.f64 z #s(literal 18 binary64)))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
55.9%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) y) #s(literal 1/18 binary64)) z)))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
✓46.0%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
43.2%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 (/.f64 x y) (sqrt.f64 t)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
50.4%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 z (/.f64 y x)))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
44.8%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
✓52.5%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (*.f64 (asin.f64 (/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t)) z)) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
46.0%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (*.f64 (asin.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
53.5%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (*.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 y (*.f64 x (sqrt.f64 t))) z))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
44.7%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
52.7%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 x (/.f64 (sqrt.f64 t) y)))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
44.8%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)) (sqrt.f64 t))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
✓98.5%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))
Compiler

Compiled 5 941 to 1 802 computations (69.7% saved)

regimes391.0ms (3.1%)

Memory
-15.0MiB live, 185.4MiB allocated
Accuracy

Total -49.8b remaining (-5135.6%)

Threshold costs -49.8b (-5135.6%)

Counts
56 → 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) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))))) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) #s(literal 1/3 binary64)))
#s(approx (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))) #s(literal 1/3 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) (/.f64 (PI.f64) (*.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 2 binary64))) (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z)))) #s(literal 1/3 binary64)))
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#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) y) (*.f64 z #s(literal 18 binary64)))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) (*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))))) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) (*.f64 (/.f64 #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))) #s(literal 1/3 binary64))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (*.f64 (asin.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 (neg.f64 x) (sqrt.f64 t))) (neg.f64 y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))))) (*.f64 (asin.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (*.f64 (fma.f64 (*.f64 (PI.f64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64))) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal -2 binary64)) #s(literal 1/2 binary64)) (asin.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) #s(literal 1/3 binary64)))
#s(approx (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (*.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) (/.f64 (PI.f64) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64))) (asin.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))) (*.f64 #s(literal 1/3 binary64) (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))))))) #s(literal -1 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (pow.f64 (/.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) (PI.f64))) #s(literal 1/3 binary64))) #s(literal -1 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (*.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)))) #s(literal 1/3 binary64)) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal -2 binary64)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))))) #s(literal -1 binary64))) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (pow.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 (PI.f64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 2 binary64)))) #s(literal 1/3 binary64))) #s(literal -1 binary64)))
#s(approx (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (*.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))))))
#s(approx (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (*.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)))))))
#s(approx (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))))) (fma.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 (pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) #s(literal 4 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) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))
Calls

13 calls:

89.0ms
y
56.0ms
(*.f64 y #s(literal 27 binary64))
48.0ms
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
48.0ms
(sqrt.f64 t)
34.0ms
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
Results
AccuracySegmentsBranch
98.5%1x
98.5%1y
98.5%1z
98.5%1t
98.5%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
98.5%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
98.5%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
98.5%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
98.5%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
98.5%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
98.5%1(*.f64 y #s(literal 27 binary64))
98.5%1(*.f64 z #s(literal 2 binary64))
98.5%1(sqrt.f64 t)
Compiler

Compiled 83 to 108 computations (-30.1% saved)

simplify28.0ms (0.2%)

Memory
23.7MiB live, 23.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02831
13531
Stop Event
1×saturated
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) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #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) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64)))

soundness52.0ms (0.4%)

Memory
-28.4MiB live, 10.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02968
06368
Stop Event
1×fuel
1×iter limit
1×iter limit
1×iter limit
1×unsound
Compiler

Compiled 46 to 41 computations (10.9% saved)

preprocess55.0ms (0.4%)

Memory
20.8MiB live, 58.9MiB allocated
Remove

(sort y z)

Compiler

Compiled 270 to 236 computations (12.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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